DESIGNING SILVOPASTORAL SYSTEMS FOR THE AMAZON: A

FRAMEWORK FOR THE EVALUATION OF NATIVE SPECIES

Thesis submitted in partial fulfilment of the degree Doctor of Philosophy at UCL by

Lucy Jayne Dablin

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SIGNED DECLARATION

I, Lucy Jayne Dablin, confirm that the work presented in this thesis is my own. Where information has been derived from other sources, I confirm that this has been indicated in the thesis.

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ACKNOWLEDGEMENTS

This work was possible due to the kind help and support of my supervisors, Dr Mark

Lee, Professor Simon Lewis, Dr William Milliken, Dr Alex Monro and my parents. I would like to thank the many people who volunteered their efforts for this research.

This work was supported by the Natural Environment Research Council

[NE/L002485/1]; the Emily Holmes Memorial Scholarship; and the Bentham Moxon

Trust.

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ABSTRACT

The integration of trees into pastures, termed silvopasture systems, could make livestock farming more economically and environmentally sustainable. A framework to assess the forage potential of native tree species would assist in developing regionally appropriate silvopasture for pastures in the Amazon. Five tree species of with reported silvopastoral potential, Senegalia loretensis, Ceiba pentandra,

Erythrina berteroana, edulis and Leucaena leucocephala, were selected to investigate their potential use in a silvopastoral system. A 26-month field experiment planted 900 trees of the five species to assess tree mortality, biomass production and palatability for cattle. Five monospecific replicates of each species and a control with no trees planted were installed on a Brachiaria brizantha pasture in Madre de

Dios, . After 18 months, S. loretensis and C. pentandra showed double the rate of mortality compared to the other species and were deemed inappropriate for continued consideration. Destructive harvests of the remaining three species showed that total biomass production and hence carbon storage was greater for I. edulis (7.2

Mg dry mass ha-1) than E. berteroana (4.4 Mg dry mass ha-1) or L. leucocephala (4.3

Mg dry mass ha-1) at 24 months. These biomass gains were not at the expense of grass: edible biomass within the reach of cattle was 1.5 Mg ha-1 in the no tree control, whereas E. berteroana produced 2.3 Mg ha-1, I. edulis 2.3 Mg ha-1 and L. leucocephala 2.2 Mg ha-1. Cattle were introduced into each treatment to assess palatability. Cattle consumed 99% of E. berteroana, 75% of I. edulis and 80% of L. leucocephala. E. berteroana had a mortality six times greater than other species, but

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all species have silvopastoral potential. This evaluation of tree species supports regionally appropriate silvopastoral systems and shows that silvopasture can increase productivity on existing cleared land and can contribute to mitigating climate change.

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IMPACT STATEMENT

Silvopastoral farming systems, where trees are planted in cattle pasture, could make livestock farming more economically and environmentally sustainable when compared with traditional models of cattle farming. In some areas, a barrier to the adoption of silvopasture is a lack of knowledge of which environmentally adapted trees have forage potential and whether these trees can meet the needs of animal production. This thesis describes a framework that can be used to evaluate the silvopastoral suitability of native and locally adapted tree species. The framework presents a set of design considerations and recommends that silvopastoral trials be carried out in a well-replicated scientifically robust design over a minimum of a two- year timeframe. This approach has been designed for on-farm use in a way that can be adapted by practitioners in different parts of the world.

The framework was applied in the context of a typical Amazon pasture in Madre de

Dios, Peru. Five locally adapted trees were chosen following a review of scientific literature that suggested locally adapted species that could survive in the pasture environment and were palatable for cattle. When compared with conventional models of farming in the region, the silvopastoral system provided gains in productivity, accruing as increased total biomass, an increase in available forage for cattle and the sequestration of carbon. A statistical method to provide non- destructive assessments of the biomass production and carbon sequestration potential of the tree components of three species is presented.

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An accomplishment of this study was the establishment of a 3-hectare experimental silvopastoral system. This serves as a demonstration of the procedures advocated in this thesis and can continue inspire those who seek to implement silvopastoral systems. Site visits by stakeholders may increase the adoption of more sustainable cattle farming techniques. It is hoped that the dissemination of this research via scientific journals will contribute to a growing body of evidence that supports the adoption of more environmentally friendly practices in livestock production, of interest to extension workers, policy makers, governments and businesses.

This work is an attempt to find sustainable ways to intensify the current extensive livestock production in the Amazon using natural technology and simultaneously increase the provision of ecosystem services from these landscapes. It is envisaged that widespread adoption of silvopastoral systems on existing cleared land could reduce the need for further deforestation, reverse the trend of pasture degradation and soil erosion, increase biodiversity in agricultural landscapes and contribute to the mitigation of climatic change. This work is a preliminary assessment but it could be of use to future researchers and extension workers who may be able to address the shortcomings of this study and further improve the recommendations for the design of silvopastoral systems. Finally, the ultimate impact that this study could hope to achieve is that the communities that rely on cattle farming in the Amazon adopt these more profitable and sustainable approaches, and that this results in a decline in the rate of pasture degradation and a decline in the rate of deforestation of the

Amazon.

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TABLE OF CONTENTS

DESIGNING SILVOPASTORAL SYSTEMS FOR THE AMAZON: A FRAMEWORK

FOR THE EVALUATION OF NATIVE SPECIES ...... 1

SIGNED DECLARATION ...... 2

ACKNOWLEDGEMENTS ...... 3

ABSTRACT ...... 4

IMPACT STATEMENT ...... 6

TABLE OF CONTENTS ...... 8

TABLE OF FIGURES ...... 13

TABLE OF TABLES ...... 20

TABLE OF APPENDICES ...... 25

CHAPTER I ...... 35

1. Livestock Production ...... 35

2. Introduction to Silvopastoral Systems ...... 37

3. Selection and Management of Species for Silvopastoral Systems ...... 41

4. Traditional Livestock Production Models And The Potential For

Silvopastoral Systems: Influence On Soil Health ...... 51

5. Evaluating the Forage Potential of Tree Species ...... 55

6. Summary and Rationale...... 60

References ...... 62

CHAPTER II ...... 87

1. Objective ...... 87

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2. The Purpose ...... 89

3. The Site...... 89

3.1 Site Description ...... 90

3.2 Floristic Description of Site ...... 92

3.3 Climatic Description of Site ...... 93

3.4 Edaphic Description of Site ...... 95

3.5 Social and Economic History ...... 96

3.6 Future of the Amazon ...... 97

3.7 Site Preparation ...... 98

4. Species ...... 102

4.1 Evaluation of Desirable Traits and Candidate Trees in

Silvopastoral Systems ...... 102

4.2. Species Information ...... 108

4.2.1 ...... 108

4.2.2 Ceiba pentandra ...... 112

4.2.3 Erythrina berteroana ...... 114

4.2.4 Senegalia loretensis ...... 116

4.2.5 Leucaena leucocephala ...... 117

4.2.6 Brachiaria brizantha ...... 118

4.3 Design and Management of Tree Nursery ...... 120

4.4 Treatment and Sowing of Seeds ...... 124

5. Planting Design ...... 128

6. Experimental Design ...... 130

6.1 Planting Sequence ...... 132

References ...... 136 9

CHAPTER III ...... 152

Abstract ...... 152

1. Introduction ...... 153

2. Methods ...... 155

2.1. Censuses of Tree Growth ...... 156

2.2. Soil Chemical Analysis ...... 158

2.3 Pollard Treatment ...... 160

2.4. Effects of Trees on Rates of Pasture Regrowth ...... 160

3. Results ...... 161

4. Discussion ...... 177

References ...... 185

CHAPTER IV ...... 193

Abstract ...... 193

1. Introduction ...... 194

2. Methods ...... 199

2.1 Measurements of Tree Biomass ...... 199

2.2 Data Exploration ...... 202

2.3 Model Comparison and Selection ...... 203

2.4 Model Validation ...... 203

2.5 Allometric Models ...... 204

2.6 Calculation of Carbon Stocks ...... 205

3. Results ...... 206

3.1 Measurements of Tree Biomass ...... 206

3.2 Data Exploration ...... 210

3.3 Model Selection ...... 213 10

4. Discussion ...... 218

References ...... 229

Appendices ...... 243

CHAPTER V ...... 265

Abstract ...... 265

1. Introduction ...... 266

2. Methods ...... 270

2.1 Experimental Design and Cattle Herd ...... 270

2.2. Browsing Detection Using Destructive Measurements ...... 272

2.3. Browsing Detection Using Non-Destructive Measurements ...... 274

2.4 Browsing Detection Using Leaf Counts ...... 276

2.5 Measurement Of Browsing Impact ...... 276

2.6 Estimation Of Grass Forage ...... 277

2.7 Effect Of Trees and Cattle on Soil Bulk Density ...... 278

3. Results ...... 280

4. Discussion ...... 289

References ...... 299

CHAPTER VI ...... 307

1. Summary of Research Findings ...... 307

2. Comparison with Previous Research ...... 311

3. Theoretical Implications of Findings ...... 315

4. Limitations of the Study ...... 317

5. Future Research ...... 321

5.1 Direct Extensions of the Study ...... 321

5.2 Broader Issues for Future Work ...... 321 11

7. Conclusion ...... 323

References ...... 324

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TABLE OF FIGURES

Figure 1. Theoretical framework for the evaluation of candidate species for

systems ...... 88

Figure 2. Location of the study site in Madre de Dios, Peru ...... 91

Figure 3. Experimental site in 2002 with the future location of the plots projected .. 92

Figure 4. Experimental site in 2015 with the future location of the plots projected. .. 92

Figure 5. Average (solid line), maximum (dotted line), and minimum (dashed line)

monthly temperature (°C) from the period 1970-2000 for the study site derived

from the WorldClim dataset (Hijmans et al., 2005)...... 94

Figure 6. Average monthly precipitation (mm) from the period 1970-2000 for the

study site derived from the WorldClim dataset (Hijmans et al., 2005)...... 94

Figure 7. Average monthly level of solar irradiation (kJ m-2 day-1) from the period

1970-2000 for the study site derived from the WorldClim dataset (Hijmans et al.,

2005)...... 95

Figure 8. Experimental site in October 2016 with the future plots projected...... 100

Figure 9. A monumental task. All site clearance was carried out by hand to minimise

disturbance to the soils...... 100

Figure 10. An international team of volunteers involved helped with the pile and

burn...... 101

Figure 11. When the site had been cleared of branches, the weeds at the site had

grown to be unmanageable. A glyphosphate herbicide was applied across the

site and the vegetation had to be cleared again. Clearance of this vegetation

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was done using a hoe and rake. All residues were taken off site in

wheelbarrows...... 101

Figure 12. Mind map of desirable plant traits in the context of developing

silvopastoral systems at a site in the Amazon that could be advantageous in

achieving the goal of increasing the productivity per hectare through the use of

silvopastoral systems compared with traditional methods of cattle production in

the region...... 104

Figure 13. Resources for identifying potential species for inclusion in agroforestry

systems...... 105

Figure 14. Inga edulis growth (Height) over time (Months), from: (1) Sobanski and

Marques (2014), (2) Alegre (2005), (3) Kanmegne et al., (2000), (4) Rezende &

Vieira (2019), (5) Butterfield (1996), (6) Butterfield (1995), (7) Gonzalez and

Fisher (1994) ...... 110

Figure 15. Biomass after 11 years (1993 – 2004) in five replications of two

treatments, T1 (control) and T6 (interplanted with Inga edulis), in Mg ha-1.

Biomass of weeds and Inga was measured in 1 x 3 m subplots within treatment

plots and converted to a per hectare basis. Biomass of Terminalia amazonia is

the sum of crown foliage and bole wood biomasses of a sample tree for each

treatment plot. Crown and bole biomasses were estimated from volumes

calculated from diameter and height measurements multiplied by foliage density

and wood density, respectively. Once the tree biomass was obtained, biomass

was converted to a per hectare basis depending on the number of trees in the

plot. Total biomass is the sum of the weed and Inga biomass plus the T.

amazonia biomass on a per hectare basis (from Nichols and Carpenter, 2006).

...... 111 14

Figure 16. Little is known about Senegalia loretensis, but despite it’s sharp spines

the leaves are highly palatable to cattle...... 117

Figure 17. (Clockwise from left to right) The first attempt at digging the well, the base

of the steel poles, which contained a 2.5 cm iron bar, alignment of the steel

poles for the nurseries...... 121

Figure 18. The nursery mesh was elevated upon steel poles above the , with

enough room to allow air to circulate and to enable easy access for watering the

plants...... 122

Figure 19. Some prepared soil for filling the bags for the plants...... 123

Figure 20. View over the nurseries with 10,000 bags of soil. Borders made from

trees define the beds. The bags of soil are arranged in rows to give easy access

for weeding and watering of the plants. In the background is the water tower that

enabled water to the site...... 124

Figure 21. Seed pods and leaves of C. pentandra...... 125

Figure 22. I edulis ...... 126

Figure 23. Seeds of L. leucocephala ...... 126

Figure 24. Seedlings of L. leucocephala ...... 127

Figure 25. Beds of S. loretensis (foreground) and C. pentandra (background). .... 127

Figure 26. E. berteroana was planted from stakes, pictured here 2 months post

planting in association with the immature pasture grass...... 128

Figure 27. The randomised replicate plot layout, where EB is Erythrina berteroana,

IE is Inga edulis, LL is Leucaena leucocephala, SL is Senegalia loretensis, CP is

Ceiba pentandra and C is a control of grass...... 131

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Figure 28. Map of experimental site. 0.09 ha plots as red rectangles, tree rows as

black dashed lines. Tree rows were continuous between plots. There were no

tree lines on the red lines...... 132

Figure 29. Satellite image of experimental site, 0.09 ha parcels as red rectangles.

Image taken in April 2018. Image by Maxar Technologies...... 132

Figure 30. The plastic tubes used to mark the 30 m intervals of the plot corners and

in the background weeds responding to the glyphosphate applied across the

site...... 133

Figure 31.Team planting L. leucocephala in January of 2017...... 135

Figure 32. Planting lines of I. edulis...... 135

Figure 33. Satellite image from April 2017 with the parcels projected, showing faint

tree lines and the establishing grass...... 136

Figure 34. Relative growth rate for changes in height of five tree species after

planting at six (C2), twelve (C3) and eighteen (C4) month intervals post-planting

for tree species Leucaena leucocephala, Senegalia loretensis, Inga edulis,

Ceiba pentandra and Erythrina berteroana...... 164

Figure 35. Relative growth rate for changes in root collar diameter (RCD) and of five

tree species at between planting and six (C2), twelve (C3) and eighteen (C4)

month intervals post-planting for tree species Leucaena leucocephala,

Senegalia loretensis, Inga edulis, Ceiba pentandra and Erythrina berteroana 165

Figure 36. Height (cm) and standard deviation of five tree species growing in a

Brachiaria brizantha cv. Marandú pasture as of census 1. March 2017, 2. July

2017, 3. March 2018 and 4. July 2018...... 166

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Figure 37. RCD (mm) and standard deviation of five tree species growing in a

Brachiaria brizantha cv. Marandú pasture as of census 1. March 2017, 2. July

2017, 3. March 2018 and 4. July 2018...... 167

Figure 38. DBH (mm) of five tree species growing in a Brachiaria brizantha cv.

Marandú pasture as of census 2. July 2017, 3. March 2018 and 4. July 2018.

...... 168

Figure 39. Rows of I. edulis ...... 169

Figure 40. Row of Ceiba pentandra ...... 170

Figure 41. Replicate of Senegalia loretensis ...... 171

Figure 42. Leucaena leucocephala in March 2017 (above) and October 2017 (below)

...... 172

Figure 43. Proportion of alive, dead and trees classified as regrowth of five tree

species in a Brachiaria brizantha cv. Marandú pasture in the SE Amazon 18

months after planting at 0.5 x 7.5 m ...... 173

Figure 44. Mean dry weight biomass and standard deviation (S.D.) of pollarded

biomass (over 2 m) of 18-month-old trees 0.5 x 7.5 m planting design (2667

trees ha-1) for individual trees, sample size represented in parenthesis. Means

sharing the same superscript are not significantly different from each other

(Tukey's HSD, P<0.05) ...... 175

Figure 45. Mean total dry matter biomass accumulation (Mg ha-1 year-1) and

standard deviation (S.D.) of 30-day regrowth of Brachiaria brizantha cv.

Marandú collected from different treatments, sample size represented in

parenthesis. Means sharing the same superscript are not significantly different

from each other (Tukey's HSD, P<0.05) ...... 176

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Figure 46. Mean total dry matter biomass accumulation (Mg ha-1 year-1) and standard

deviation (S.D.) of six months regrowth of Brachiaria brizantha cv. Marandú

following the pollarding of associated tree species to 2 m, sample size

represented in parenthesis. Means sharing the same superscript are not

significantly different from each other (Tukey's HSD, P<0.05) ...... 177

Figure 47. Diagram representing the location of measurements on tree, where CD is

crown diameter, CDep is crown depth, CH is crown height, H is height, RCD is

root collar diameter, SD is stump diameter and DBH is diameter at breast

height...... 200

Figure 48. The log transformation of x (root collar diameter (mm) + height (cm))

derived using a linear model for the log transformation of 1) y as total biomass

(g, R2 = 0.77, P <0.01) and 2) y as trunk biomass (g, R2 = 0.76, P<0.01) for

Erythrina berteroana following the equations presented in Table 13...... 216

Figure 49. The log transformation of crown diameter (cm) derived using a linear

model for the log transformation of branch biomass (g, R2 = 0.73, P<0.01) and

leaf biomass (g, R2 = 0.58, P<0.01) for Erythrina berteroana following the

equations presented in Table 13...... 216

Figure 50. The log transformation of root collar diameter (mm) derived using a linear

model for the log transformation of total biomass (g, R2 = 0.70, P<0.01), trunk

biomass (g, R2 = 0.71, P<0.01), branch biomass (g, R2 = 0.48, P<0.01) and leaf

biomass (g, R2 = 0.48, P<0.01) for Inga edulis following the equations presented

in Table 13...... 217

Figure 51. The log transformation of x where 1) x is root collar diameter (mm) +

height (cm) derived using a linear model for the log transformation of total

biomass (g, R2 = 0.86, P<0.01), trunk biomass (g, R2 = 0.89, P<0.01) and leaf 18

biomass (g, R2 = 0.61, P<0.01) and 2) x is crown diameter (cm) derived using a

linear model for the log transformation of branch biomass (g, R2 = 0.51, P<0.01)

for Leucaena leucocephala following the equations presented in Table 13. ... 217

Figure 52. Map of the cattle trial from east to west Phase I (red), Phase II (blue) and

Phase III (yellow)...... 272

Figure 53. Cattle browsing Inga edulis ...... 281

Figure 54. Browsing line where cattle consumed all the foliage they could reach. . 282

Figure 55. Post-browsing, an Erythrina berteroana row is missing several trees ... 282

Figure 56. Leucaena leucocephala defoliated on low branches ...... 283

Figure 57. Percentage change of Erythrina berteroana biomass for four assessment

methodologies used to detect biomass removal following cattle browsing...... 285

Figure 58. Percentage change of Inga edulis biomass components between

methodologies used to detect biomass removal following a cattle-browsing

experiment...... 286

Figure 59. Percentage change of Leucaena leucocephala biomass components

between methodologies used to detect biomass removal following a cattle-

browsing experiment...... 286

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TABLE OF TABLES

Table 1. Plantation tree species killed and damaged by exposure to approximately

80-100 cattle in a 3-hour period. Data provided by Camino Verde (2018). . ... 107

Table 2. Criteria used in the selection of the final five species for the present

experiment. Where ++ is best suited to -- worse suited, + or – are weak

evidence to support either way, and ? indicate there was no information found

linking the species to the criteria...... 107

Table 3. Plant height, soil cover and dry matter yield of forage grasses Brachiaria

brizantha cv. Marandú, B. humidicola, Paspalum atratum BRA-9610, P.

guenoarum BRA-3824, P. regnelli BRA-0159, P. plicatulum BRA-9661 and

Hemarthria altissima established under a 12 year old rubber plantation

reproduced from Costa et al. (2001)...... 119

Table 4. Data for the first day of each month from a site in Madre de Dios, Peru (lat -

12.53945°, long -69.17288°) in 2016, including the altitude and azimuth of the

sun at 12:00, the shadow cast by an object of 2 m height and the daylight

duration...... 130

Table 5. Plant growth census dates...... 157

Table 6. Height (cm), root collar diameter (RCD mm), and diameter at breast height

(DBH mm) of five tree species in a Brachiaria brizantha cv. Marandú pasture,

with census number (C), time after planting in months (t), mean average (Mean)

standard deviation (S.D.), annual relative growth rate (RGR), n as number of

individuals sampled and λ as annual mortality (Shiel et al., 1995). Means

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sharing the same superscript are not significantly different from each other

within a census interval (Tukey's HSD, P<0.05)...... 163

Table 7. Descriptive statistics of biomass parameters of individual harvested

Erythrina berteroana used in constructing allometric equations, including sample

size (n), root collar diameter (RCD, 0.05 m), stump diameter (SD, 0.3 m) and

diameter at breast height (DBH, 1.3 m). Mean, standard deviation (SD),

minimum (min), maximum (max), lower 25th percentile (25th perc), upper 75th

percentile (75th perc), as well as coefficients of skewness and kurtosis are

presented...... 207

Table 8. Descriptive statistics of biomass parameters of individual harvested Inga

edulis used in constructing allometric equations, including sample size (n), root

collar diameter (RCD, 0.05 m), stump diameter (SD, 0.3 m) and diameter at

breast height (DBH, 1.3 m). Mean, standard deviation (SD), minimum (min),

maximum (max), lower 25th percentile (25th perc), upper 75th percentile (75th

perc), as well as coefficients of skewness and kurtosis are presented...... 208

Table 9. Descriptive statistics of biomass parameters of individual harvested

Leucaena leucocephala used in constructing allometric equations, including

sample size (n), root collar diameter (RCD, 0.05 m), stump diameter (SD, 0.3 m)

and diameter at breast height (DBH, 1.3 m). Mean, standard deviation (SD),

minimum (min), maximum (max), lower 25th percentile (25th perc), upper 75th

percentile (75th perc), as well as coefficients of skewness and kurtosis are

presented...... 209

Table 10. Spearman’s correlation of E. berteroana biomass components. Total

biomass (Total), trunk biomass (Trunk), branch biomass (Branch), total foliar

biomass (Leaf), root collar diameter (RCD, 0.05 m), stump diameter (SD, 0.3 m), 21

diameter at breast height (DBH, 1.3 m), height, crown volume (CVol) and crown

diameter (CD)...... 211

Table 11. Spearman’s correlation of I. edulis biomass components. Total biomass

(Total), trunk biomass (Trunk), branch biomass (Branch), total foliar biomass

(Leaf), root collar diameter (RCD, 0.05 m), stump diameter (SD, 0.3 m),

diameter at breast height (DBH, 1.3 m), height, crown volume (CVol) and crown

diameter (CD)...... 211

Table 12. Spearman’s correlation of L. leucocephala biomass components. Total

biomass (Total), trunk biomass (Trunk), branch biomass (Branch), total foliar

biomass (Leaf), root collar diameter (RCD, 0.05 m), stump diameter (SD, 0.3 m),

diameter at breast height (DBH, 1.3 m) height, crown volume (CVol) and crown

diameter (CD)...... 212

Table 13. Log-linear allometric equations demonstrated the lowest Furnival’s Index

(F.I.) against linear or quadratic models for biomass components of 0.5 x 7.5 m

alley rows of Erythrina berteroana, Inga edulis and Leucaena leucocephala 6

months post pollarding to a height of 2 m. Where ln(x) is the log transformation

of the following measurements used as predictors of biomass: Root collar

diameter (RCD mm, 0.05 m), height (cm) and crown diameter (CD, cm). ln(y) is

the log transformation of total biomass (g), trunk biomass (g), branch biomass

(g) or leaf biomass (g). Where b0 is the intercept coefficient, b1 and b2 are the

slope coefficients, all of which are reported with standard error (S.E.) and

significance (P). Lambda (λ) and standard deviation (S.D.) as back

transformation according to Marklund (1987), root mean square error of model

(Model rMSE) and results of K-fold model cross validation (k=10) reported as

root mean squared error (CV rMSE)...... 215 22

Table 14. Total above ground biomass fraction and carbon (C) stock (Mg ha-1) after

24 months, including previously removed biomass > 2 m at 18 months (Chapter

III) of Erythrina berteroana, Inga edulis and Leucaena leucocephala when 2667

trees ha-1 (0.5 x 7.5 m), using the IPCC default C fraction for tropical forests of

0.47. Where n is sample size and MAI is Mean Annual Increment (Mg ha-1 year-

1) (Eggleston et al., 2006)...... 218

Table 15. Pairing combinations and random rotation of cattle (8 cattle numbered 1-8)

between four treatments in three, eight day phases of a cattle trial...... 271

Table 16. Dry foliar biomass for individual trees (dry matter g tree-1), standard

deviation (S.D.) and number of individuals sampled (n) prior to and post cattle

browsing either mean total tree foliar biomass or foliar biomass harvested <1.6

m on potential browse species Erythrina berteroana, Inga edulis and Leucaena

leucocephala. Significant differences (P<0.05) from prior value to post value

following cattle browsing denoted by an asterisk (*)...... 280

Table 17. Mean average (Av) and standard deviation (S.D.) of change per individual

tree in crown volume (M3) and leaf emergence height (LEH, cm) prior to and

post a cattle browsing experiment on individuals (n) of potential browse species,

Erythrina berteroana, Inga edulis and Leucaena leucocephala. Significant

differences between sampling period prior to and post (P<0.05) denoted by an

asterix (*)...... 284

Table 18. Mean leaf count per tree (number of leaves tree-1) and standard deviation

(S.D.) prior to and post a cattle-browsing trial on individuals (n) of potential

browse species Erythrina berteroana, Inga edulis and Leucaena leucocephala.

Significant differences (P<0.05) between leaves counted prior to and post

browsing are denoted by an asterix (*)...... 285 23

Table 19. Impacts measured following a cattle trial on three potential browse species

Erythrina berteroana, Inga edulis and Leucaena leucocephala. Impact types

were classified as browsing-type damage (Browsed) or breakage-type damage

(Broken) of two categories, branches (all species) and leaves (I. edulis).

Average diameter (mm), average height (cm) and maximum height (cm) and

respective standard deviations (S.D.) reported on a number (n) of individual

trees. Significant differences between species (P<0.05) denoted by asterisk (*).

...... 287

Table 20. Edible and non-edible fractions of mean average dry weight grass biomass

(Mg ha-1) produced in four treatments, reported for sampling carried out prior to

and post the introduction of cattle...... 289

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TABLE OF APPENDICES

Appendix 1. Table. The wet to dry relationship for biomass components of

subsamples.taken from Inga edulis, Erythrina berteroana and Leucaena

leucocephala, where R2 is the coefficient of determination, RSE is the residual

square error and n is the sample size...... 243

Appendix 2. Figure. Total biomass (g) and root collar diameter (mm) of Inga edulis

plotted using the linear regression line (y = aX + b) showing clockwise from left

(a) scatter plot and linear regression line, (b) departure from normal Q-Q plot

and (c) residuals vs. leverage ...... 244

Appendix 3. Figure. Relationship between total biomass (g) and root collar diameter

(mm) for Inga edulis plotted using the quadratic regression model (equation y =

ax2 + bx + c) showing clockwise from left (a) scatter plot and polynomial

regression line, (b) departure from normal Q-Q plot and (c) residuals vs.

leverage ...... 245

Appendix 4. Figure. Relationship between total biomass (g) and root collar diameter

(mm) for I. edulis plotted using the log-linear transformation ln(y) = a + b * lnx

showing clockwise from left (a) scatter plot and regression line, (b) departure

from normal Q-Q plot and (c) residuals vs. leverage ...... 246

Appendix 5. Table. Allometric equations following the linear model for biomass

components of 0.5 x 7.5 m alley rows of Erythrina berteroana 6 months post

pollarding to a height of 2 m. Where (x) is the measurement used as a predictor

of biomass: Root collar diameter (RCD mm, 0.05 m), diameter at breast height

25

(DBH (mm), 1.3 m), stump diameter (SD mm, 0.3 m), crown volume (CV cm3)

and crown diameter (CD cm), (y) is the log transformation of total biomass(g),

trunk biomass (g), branch biomass (g) or leaf biomass (g). b0 as the intercept

coefficient, b1 as the slope coefficient, both reported with standard error (S.E.)

and significance (P). Coefficient of determination (R2), root mean square error of

model (Model RMSE, which is the same as Furnival’s Index for untransformed

data) and results of K-fold model cross validation (k=10) reported as root mean

squared error (CV RMSE)...... 247

Appendix 6. Table. Allometric equations following the linear model for biomass

components of 0.5 x 7.5 m alley rows of Erythrina berteroana 6 months post

pollarding to a height of 2 m. Where (x) is the root collar diameter (RCD mm,

0.05 m), or RCD and Height (cm) as predictors of biomass. (y) is the log

transformation of total biomass (g), trunk biomass (g), branch biomass (g) or

leaf biomass (g), b0 as the intercept coefficient, b1 and b2 as the slope coefficient,

both reported with standard error (S.E.) and significance (P). Coefficient of

determination (R2), root mean square error of model (Model RMSE, which is the

same as Furnival’s Index F.I. for untransformed data) and results of K-fold

model cross validation (k=10) reported as root mean squared error (CV RMSE).

...... 248

Appendix 7. Table. Allometric equations following the linear model for biomass

components of 0.5 x 7.5 m alley rows of Inga edulis 6 months post pollarding to

a height of 2 m. Where (x) is the measurement used a predictor of biomass:

Root collar diameter (RCD mm, 0.05 m), diameter at breast height (DBH mm,

1.3 m), stump diameter (SD mm, 0.3 m), crown volume (CV cm3) and crown

diameter (CD cm), (y) is the log transformation of total biomass (g), trunk 26

biomass (g), branch biomass (g) or leaf biomass (g), b0 as the intercept

coefficient, b1 as the slope coefficient, both reported with standard error (S.E.)

and significance (P). Coefficient of determination (R2), root mean square error of

model (Model RMSE, which is the same as Furnival’s Index for untransformed

data) and results of K-fold model cross validation (k=10) reported as root mean

squared error (CV RMSE)...... 249

Appendix 8. Table. Allometric equations following the linear model for biomass

components of 0.5 x 7.5 m alley rows of Inga edulis 6 months post pollarding to

a height of 2 m. Where (x) is the root collar diameter (RCD mm, 0.05 m), or

RCD and Height (cm) as predictors of biomass, (y) is the log transformation of

total biomass (g), trunk biomass (g), branch biomass (g) or leaf biomass (g). b0

as the intercept coefficient, b1 and b2 as the slope coefficient, both reported with

standard error (S.E.) and significance (P). Coefficient of determination (R2), root

mean square error of model (Model RMSE, which is the same as Furnival’s

Index F.I. for untransformed data) and results of K-fold model cross validation

(k=10) reported as root mean squared error (CV RMSE)...... 250

Appendix 9. Table. Allometric equations following the linear model for biomass

components of 0.5 x 7.5 m alley rows of Leucaena leucocephala 6 months post

pollarding to a height of 2 m. Where (x) is the measurement used as predictor of

biomass: Root collar diameter (RCD mm, 0.05 m), diameter at breast height

(DBH mm, 1.3 m), stump diameter (SD mm, 0.3 m), crown volume (CV cm3) and

crown diameter (CD cm), (y) is the log transformation of total biomass (g), trunk

biomass (g), branch biomass (g) or leaf biomass (g), b0 as the intercept

coefficient, b1 as the slope coefficient, both reported with standard error (S.E.)

and significance (P). Coefficient of determination (R2), root mean square error of 27

model (Model RMSE, which is the same as Furnival’s Index for untransformed

data) and results of K-fold model cross validation (k=10) reported as root mean

squared error (CV RMSE)...... 251

Appendix 10. Table. Allometric equations following the linear model for biomass

components of 0.5 x 7.5 m alley rows of Leucaena leucocephala 6 months post

pollarding to a height of 2 m. Where (x) is the root collar diameter (RCD mm,

0.05 m), or RCD and Height (cm) as predictors of biomass, (y) is the log

transformation of total biomass (g), trunk biomass (g), branch biomass (g) or

leaf biomass (g). b0 as the intercept coefficient, b1 and b2 as the slope coefficient,

both reported with standard error (S.E.) and significance (P). Coefficient of

determination (R2), root mean square error of model (Model RMSE, which is the

same as Furnival’s Index F.I. for untransformed data) and results of K-fold

model cross validation (k=10) reported as root mean squared error (CV RMSE).

...... 252

Appendix 11. Table. Allometric equations following a quadratic model for biomass

components of 0.5 x 7.5 m alley rows of Erythrina berteroana 6 months post

pollarding to a height of 2 m. Where (x) is the measurement used as a predictor

of biomass: Root collar diameter (RCD mm, 0.05 m), diameter at breast height

(DBH mm, 1.3 m), stump diameter (SD mm, 0.3 m), crown volume (CV, cm3)

and crown diameter (CD cm), (y) is the log transformation of total biomass (g),

trunk biomass (g), branch biomass (g) or leaf biomass (g), b0 as the intercept

coefficient, b1 as the slope coefficient, both reported with standard error (S.E.)

and significance (P). Coefficient of determination (R2), root mean square error of

model (Model RMSE, which is the same as Furnival’s Index for untransformed

28

data) and results of K-fold model cross validation (k=10) reported as root mean

squared error (CV RMSE)...... 253

Appendix 12. Table. Allometric equations following the quadratic model for biomass

components of 0.5 x 7.5 m alley rows of Erythrina berteroana 6 months post

pollarding to a height of 2 m. Where (x) is the root collar diameter (RCD mm,

0.05 m), or RCD and Height (cm) as predictors of biomass, (y) is the log

transformation of total biomass (g), trunk biomass (g), branch biomass (g) or

leaf biomass (g). b0 as the intercept coefficient, b1 and b2 as the slope coefficient,

both reported with standard error (S.E.) and significance (P). Coefficient of

determination (R2), root mean square error of model (Model RMSE, which is the

same as Furnival’s Index F.I. for untransformed data) and results of K-fold

model cross validation (k=10) reported as root mean squared error (CV RMSE).

...... 254

Appendix 13. Table. Allometric equations following a quadratic model for biomass

components of 0.5 x 7.5 m alley rows of Inga edulis 6 months post pollarding to

a height of 2 m. Where (x) is the measurement used as a predictor of biomass:

Root collar diameter (RCD mm, 0.05 m), diameter at breast height (DBH mm,

1.3 m), stump diameter (SD mm, 0.3 m), crown volume (CV, cm3) and crown

diameter (CD cm), (y) is the log transformation of total biomass (g), trunk

biomass (g), branch biomass (g) or leaf biomass (g), b0 as the intercept

coefficient, b1 as the slope coefficient, both reported with standard error (S.E.)

and significance (P). Coefficient of determination (R2), root mean square error of

model (Model RMSE, which is the same as Furnival’s Index for untransformed

data) and results of K-fold model cross validation (k=10) reported as root mean

squared error (CV RMSE)...... 255 29

Appendix 14. Table. Allometric equations following the quadratic model for biomass

components of 0.5 x 7.5 m alley rows of Inga edulis 6 months post pollarding to

a height of 2 m. Where (x) is the root collar diameter (RCD mm, 0.05 m), or

RCD and Height (cm) as predictors of biomass, (y) is the log transformation of

total biomass (g), trunk biomass (g), branch biomass (g) or leaf biomass (g). b0

as the intercept coefficient, b1 and b2 as the slope coefficient, both reported with

standard error (S.E.) and significance (P). Coefficient of determination (R2), root

mean square error of model (Model RMSE, which is the same as Furnival’s

Index F.I. for untransformed data) and results of K-fold model cross validation

(k=10) reported as root mean squared error (CV RMSE)...... 256

Appendix 15. Table. Allometric equations following a quadratic model for biomass

components of 0.5 x 7.5 m alley rows of Leucaena leucocephala 6 months post

pollarding to a height of 2 m. Where (x) is the measurement used as a predictor

of biomass: Root collar diameter (RCD mm, 0.05 m), diameter at breast height

(DBH mm, 1.3 m), stump diameter (SD mm, 0.3 m), crown volume (CV cm3) and

crown diameter (CD cm), (y) is the log transformation of total biomass (g), trunk

biomass (g), branch biomass (g) or leaf biomass (g), b0 as the intercept

coefficient, b1 as the slope coefficient, both reported with standard error (S.E.)

and significance (P). Coefficient of determination (R2), root mean square error of

model (Model RMSE, which is the same as Furnival’s Index for untransformed

data) and results of K-fold model cross validation (k=10) reported as root mean

squared error (CV RMSE)...... 257

Appendix 16. Table. Allometric equations following the quadratic model for biomass

components of 0.5 x 7.5 m alley rows of Leucaena leucocephala 6 months post

pollarding to a height of 2 m. Where (x) is the root collar diameter (RCD mm, 30

0.05 m), or RCD and Height (cm) as predictors of biomass, (y) is the log

transformation of total biomass (g), trunk biomass (g), branch biomass (g) or

leaf biomass (g). b0 as the intercept coefficient, b1 and b2 as the slope coefficient,

both reported with standard error (S.E.) and significance (P). Coefficient of

determination (R2), root mean square error of model (Model RMSE, which is the

same as Furnival’s Index F.I. for untransformed data) and results of K-fold

model cross validation (k=10) reported as root mean squared error (CV RMSE).

...... 258

Appendix 17. Table. Allometric equations following the log-linear model for biomass

components of 0.5 x 7.5 m alley rows of Erythrina berteroana 6 months post

pollarding to a height of 2 m. Where ln(x) is the log transformation of the

following measurements used as predictors of biomass: Root collar diameter

(RCD mm, 0.05 m), diameter at breast height (DBH mm, 1.3 m), stump diameter

(SD mm, 0.3 m), crown volume (CV cm3) and crown diameter (CD cm) ln(y) is

the log transformation of total biomass (g), trunk biomass (g), branch biomass

(g) or leaf biomass (g). b0 as the intercept coefficient, b1 as the slope coefficient,

both reported with standard error (S.E.) and significance (P). Coefficient of

determination (R2), lambda (λ) and standard deviation (S.D.) as back

transformation according to Marklund (1987), Furnival’s Index (F.I.) according to

Kershaw et al. (2016), root mean square error of model (Model RMSE) and

results of K-fold model cross validation (k=10) reported as root mean squared

error (CV RMSE)...... 259

Appendix 18. Table. Allometric equations following the log-linear model for biomass

components of 0.5 x 7.5 m alley rows of Erythrina berteroana 6 months post

pollarding to a height of 2 m. Where ln(x) is the log transformation of root collar 31

diameter (RCD mm, 0.05 m), or RCD and Height (cm) as predictors of biomass.

ln(y) is the log transformation of total biomass (g), trunk biomass (g), branch

biomass (g) or leaf biomass (g). b0 as the intercept coefficient, b1 as the slope

coefficient, both reported with standard error (S.E.) and significance (P).

Coefficient of determination (R2), lambda (λ) and standard deviation (S.D.) as

back transformation according to Marklund (1987), Furnival’s Index (F.I.)

according to Kershaw et al. (2016), root mean square error of model (Model

RMSE) and results of K-fold model cross validation (k=10) reported as

root mean squared error (CV RMSE)...... 260

Appendix 19. Table. Allometric equations following the log-linear model for biomass

components of 0.5 x 7.5 m alley rows of Inga edulis 6 months post pollarding to

a height of 2 m. Where ln(x) is the log transformation of the following

measurements used as predictors of biomass: Root collar diameter (RCD mm,

0.05 m), diameter at breast height (DBH mm, 1.3 m), stump diameter (SD mm,

0.3 m), crown volume (CV cm3) and crown diameter (CD cm) ln(y) is the log

transformation of total biomass(g), trunk biomass (g), branch biomass (g) or leaf

biomass (g). b0 as the intercept coefficient, b1 as the slope coefficient, both

reported with standard error (S.E.) and significance (P). Coefficient of

determination (R2), lambda (λ) and standard deviation (S.D.) as back

transformation according to Marklund (1987), Furnival’s Index (F.I.) according to

Kershaw et al. (2016), root mean square error of model (Model RMSE) and

results of K-fold model cross validation (k=10) reported as root mean squared

error (CV RMSE)...... 261

Appendix 20. Table. Allometric equations following the log-linear model for biomass

components of 0.5 x 7.5 m alley rows of Inga edulis 6 months post pollarding to 32

a height of 2 m. Where ln(x) is the log transformation of root collar diameter

(RCD mm, 0.05 m), or RCD and Height (cm) as predictors of biomass. ln(y) is

the log transformation of total biomass(g), trunk biomass (g), branch biomass (g)

or leaf biomass (g). b0 as the intercept coefficient, b1 as the slope coefficient,

both reported with standard error (S.E.) and significance (P). Coefficient of

determination (R2), lambda (λ) and standard deviation (S.D.) as back

transformation according to Marklund (1987), Furnival’s Index (F.I.) according to

Kershaw et al. (2016), root mean square error of model (Model RMSE) and

results of K-fold model cross validation (k=10) reported as root mean squared

error (CV RMSE)...... 262

Appendix 21. Table. Allometric equations following the log-linear model for biomass

components of 0.5 x 7.5 m alley rows of Leucaena leucocephala 6 months post

pollarding to a height of 2 m. Where ln(x) is the log transformation of the

following measurements used as predictors of biomass: Root collar diameter

(RCD mm, 0.05 m), diameter at breast height (DBH mm, 1.3 m), stump diameter

(SD mm, 0.3 m), crown volume (CV cm3) and crown diameter (CD cm) ln(y) is

the log transformation of total biomass(g), trunk biomass (g), branch biomass (g)

or leaf biomass (g). b0 as the intercept coefficient, b1 as the slope coefficient,

both reported with standard error (S.E.) and significance (P). Coefficient of

determination (R2), lambda (λ) and standard deviation (S.D.) as back

transformation according to Marklund (1987), Furnival’s Index (F.I.) according to

Kershaw et al. (2016), root mean square error of model (Model RMSE) and

results of K-fold model cross validation (k=10) reported as root mean squared

error (CV RMSE)...... 263

33

Appendix 22. Table. Allometric equations following the log-linear model for biomass

components of 0.5 x 7.5 m alley rows of Leucaena leucocephala 6 months post

pollarding to a height of 2 m. Where ln(x) is the log transformation of root collar

diameter (RCD mm, 0.05 m), or RCD and Height (cm) as predictors of biomass.

ln(y) is the log transformation of total biomass(g), trunk biomass (g), branch

biomass (g) or leaf biomass (g). b0 as the intercept coefficient, b1 as the slope

coefficient, both reported with standard error (S.E.) and significance (P).

Coefficient of determination (R2), lambda (λ) and standard deviation (S.D.) as

back transformation according to Marklund (1987), Furnival’s Index (F.I.)

according to Kershaw et al. (2016), root mean square error of model (Model

RMSE) and results of K-fold model cross validation (k=10) reported as

root mean squared error (CV RMSE)...... 264

34

CHAPTER I

AMAZON PASTURES: THE

POTENTIAL FOR SILVOPASTORAL SYSTEMS

1. Livestock Production

The world’s population is predicted to reach 9.6 billion by the year 2050

(Alexandratos and Bruinsma, 2012). Meat and milk currently provide a third of global intake and demand for livestock products is expected to increase by 70 to

80% by the year 2050 (Rosegrant et al., 2009; Herrero, 2015). Pasturelands cover

35 million km2, or 68% of the total global land area dedicated to agricultural production (White et al., 2000). The rising demand for livestock products is likely to be met with a concurrent expansion of livestock production into wilderness areas

(Thornton and Herrero, 2010).

To date, deforestation has resulted in the loss of more than a third of all global forest

(Hansen et al., 2013). An example of this is the 413,506 km2 that have been deforested since 1988 in the Brazilian Amazon to be replaced by pastures for the production of cattle (Downing, 2019; PRODES, 2019). Central and Latin America have one of the highest rates of land conversion for livestock production (Wassenaar et al., 2007). It is estimated that the livestock sector drives climatic change contributes 14.5% of the total anthropogenic greenhouse gases (GHG) emissions

(Gerber et al., 2013). It is a sector that may struggle to adjust to climatic change, as 35

livestock producers must contend with predictions of increased pressure on productive land, water shortages and declining forage production under rising temperatures (Lee et al., 2017; Fellman et al., 2018).

In order to meet the growing demand for livestock products, efforts should focus on intensifying land that is already dedicated to livestock production. This would have the dual benefit of avoiding further emissions of GHGs and ensure the preservation of biodiversity and wilderness areas (Godde, 2018). Increasing the productivity per hectare of land in a sustainable way is known as sustainable intensification

(Carvalho et al., 2018). Interest has been growing in the potential of sustainable intensification to integrate multiple land uses that can result in increases in economic and environmental benefits from the same unit of land (Schultze-Kraft et al., 2018).

Integrating cattle with crops, rotational stocking systems and the use of improved forages have led to advances in the intensification of cattle farming (Bogaerts et al.,

2017). Farms that integrate trees and shrubs in a practice known as silvopasture have been documented to have substantial increases in on-farm productivity and observed benefits to biodiversity (Murgueitio et al., 2011). A critical challenge facing humanity is to reconcile the production of food for a growing population with the protection of natural ecosystems while confronted with uncertain predictions of the impacts of climatic change (Rojas-Downing et al., 2017).

36

2. Introduction to Silvopastoral Systems

Agroforestry systems, as defined by the Food and Agriculture Organisation, are

“traditional and modern land-use systems where trees are managed together with crops and/or animal production systems in agricultural settings” (FAO, 2016). Many terms are used to describe arrangements where trees are incorporated into livestock production systems. Hecht (1982) makes a distinction between “silvopastoral” systems, “a situation where animals graze a ground cover crop grown under plantation trees,” and “agropastoral” systems, which “encompass livestock as well as trees grown for food (human or animal)”. Both may be viewed as “integrated farming systems” (Hecht, 1982). For the purposes of this discussion, silvopastoral systems are defined according to Kaur et al. (2002) as an agroforestry practice that integrates livestock, forage production, and forestry on the same land-management unit.

The incentive to increase production on existing lands is growing as property rights in the Amazon are strengthening and landowners reach the boundaries of their properties. ’s commitment to the 15th United Nations Conference on Climate

Change in 2009 resulted in the Low Carbon Agriculture plan, a national credit incentive that has supported the conversion to silvopastoral systems of approximately 2 million hectares (Embrapa, 2016; Santos et al., 2018). Many systems aim to coproduce timber, and often favor exotics such as Tectona grandis and Eucalyptus.

Farmers can manage trees to provide a range of products and services.

Management of trees commonly include planting arrangements such as living fence posts, fodder banks or alley farming, a term defined by Kang et al. (1990) as “the 37

cultivation of food crops between hedgerows of multipurpose trees” (Russo and

Botero, 1994; Sanchez, 2002). Appropriate management of agroforestry systems can help farmers increase production of crops, fuelwood, timber and fodder (Russo and Botero, 1994). Additionally, a range of ecosystem services are associated with the presence of trees in agricultural systems, some of which directly benefit the productivity of agri-ecosystems, wheras others accrue as less-tangible global good by, for example, increasing the amount of carbon dioxide sequestered.

The presence of trees helps to maintain and improve soil fertility (Hohnwald et al.,

2005; Murgueitio et al., 2011). Trees can act as ‘nutrient pumps’, as they have the advantage of accessing nutrients from deep soil horizons (Scholes and Archer 1997;

Sanchez, 2002), that are recycled into the system as leaf or root litter and can contribute to crop available nutrients (Menezes et al., 2002). Nitrogen fixing trees are commonly employed in agricultural systems as they can increase the nitrogen inputs of a system (Dommergues, 1987). Some tree have an advantageous relationship with ; bacteria that infect roots and form nodules which fix nitrogen (Downie, 2014). The extent to which tree legumes can access or contribute nutrients to a given system is dependent on, amongst other factors, mycorrhizal associations, soil, climate, species and management (Szott et al., 1991). Trees also promote complex soil food webs (Montagnini and Ashton, 1999) and increase the habitat available to ecosystem engineers such as decomposers, predators and parasitoids that control harmful insects (Giraldo et al., 2011; Murgueitio et al., 2011).

Silvopastoral systems can offer improved production and sustainability over traditional pasture systems. In temperate climates, some silvopastoral systems have 38

been productive for over 4,500 years (Stevenson and Harrison, 2014). The presence of shade trees can reduce heat stress in cattle and may increase their weight, milk production or reproductive success. The inclusion of trees can provide a useful adaptation among smallholder livestock farmers in response to climatic changes. For example, in times of drought, fodder production by trees may continue when pasture productivity decreases due to water stress and therefore the (Altieri et al., 2015).

Silvopastoral systems also generate additional products that can increase a farmer’s income, such as timber, fuelwood, fruits and fodder for cattle. In the Amazon there are low stocking densities, typically less than one cattle per hectare (Hohnwald et al.,

2006). A pasture which incorporated tree legumes (Leucaena leucocephala) in

Western Australia reported record liveweight gains for cattle and a stocking rate of 3-

4 animals per hectare (Jones, 1986 in Russo and Botero 1994). In the South Eastern

United States the native and endangered longleaf pine Pinus palustris was used within a silvopastoral system which subsequently produced more profits than either traditional ranching or traditional forestry (Stainback and Alavalapati, 2004). In this approach, a threatened species was incorporated into a silvopastoral system which resulted in both a profitable farming systems and the continued promotion of the existence of Pinus palustris.

Silvopastoral systems also have considerable potential as a landscape level tool for conservation. The increased complexity of silvopastoral systems results in a greater provision of ecosystem services and increased habitat for wildlife (Mcadam et al.

2007). In areas of fragmented forests, silvopastoral systems can increase connectivity and act as wildlife corridors (Ibrahim et al., 2006). Silvopastoral systems may sequester more carbon than traditional pasture (Haile et al. 2010). The inclusion 39

of certain forages containing tannins may reduce methane emissions from livestock production (Hess et al., 2005) and control livestock parasites (Nguyen et al., 2005).

Silvopastoral systems represent an opportunity for sustainable intensification and livelihood diversification, while simultaneously providing benefits for the provision of ecosystem services and biodiversity conservation. Such systems can challenge the traditional view of livestock production as the antithesis of biodiversity conservation.

Livestock production in the Amazon is constrained by the complex agro-ecological problem of early pasture degradation. Within ten years pasture may reach an advanced stage of degradation (Martínez and Zinck, 2004). Some direct causes at the farm level of this phenomenon include decreasing soil fertility, water stress, insect pests, inadequate grass species, weed invasion and overstocking, whereas underlying causes of pasture degradation include low return yields, lack of technical knowledge, perverse policy environments, and insecure property rights (Hohnwald,

2016). Estimates of the extent of pasture degradation are not consistent, but authors indicate that up to half of the pastures sown in Brazil’s rain forest may be degraded to some degree (Serrao et al., 1993). The presence of forage trees can enhance the productivity of pasture systems compared to grass monocultures, with effects varying dependent on the arrangement of trees, selection of species and soil conditions of the site (Szott et al., 1991).

Relatively few studies have attempted to increase the productivity of Amazonian livestock production systems using silvopastoral techniques. A successful rehabilitation from bulldozed land to a productive silvopastoral system is reported for a study in Yurimaguas in 1988. The experiment established Centrosema 40

macrocarpum as a forage ground cover crop between peach palm Bactris gasipaes.

Eighteen months after establishment, the Centrosema macrocarpum was grazed.

Average increase in live-weight gains of the cattle was 445 g-1animal-1 per day, an improvement over traditional grazing systems in the region. Soil bulk density, mechanical resistance, acidity and aluminium saturation decreased considerably

(Arevalo et al., 1998). Silvopasture can therefore present a unique opportunity to rehabilitate degraded pastureland and increase the productivity of marginal land.

Such studies reinforce the potential for silvopastoral systems to outcompete traditional grazing management in the tropics while increasing the sustainability of livestock production. A framework to assist in the evaluation of candidate species for inclusion in silvopastoral systems could help interested stakeholders participate in trialling species they identify as having potential, while generating data that documents the success of the species.

3. Selection and Management of Species for Silvopastoral Systems

Certain characteristics are shared by species that perform well in silvopastoral systems; they fix nitrogen, are fast growing, demonstrate high foliage productivity and nitrogen content, are palatable and readily eaten by animals when fresh, nutritious for livestock, exhibit tannin content lower than 5%, can withstand trampling, coppicing, heavy grazing pressure or even complete defoliation, show rapid rates of regrowth from numerous growing points on the remaining stems, develop a vigorous tap root, retain their leaves in the dry season, have small leaflets and open crowns which allow light to reach the ground (Devendra, 1990; Arevalo et al., 1998;

Sanchez, 2002; Vitti et al., 2005; ; Hohnwald, 2016).

41

Appropriate species for silvopastoral systems may be specific to the local environmental and climatic variables that can affect production. What is proven to work in one context can fail in another. For example, Leucaena leucocephala is a nitrogen fixing tree leguminous native to the Yucutan peninsular of Mexico and used worldwide as a forage tree. When trialed in the acidic Utisols of Yurimaguas in the

Peruvian Amazon failed to be productive due to high levels of aluminum saturation

(Sanchez, 1987 in Loker, 1994). On acidic, low base status soils species such as

Fleminga macrophylla and Erythrina poeppigiana have been shown to be more productive than L. leucocephala (Kass et al., 1992).

Physical and chemical soil characteristics effect the plants and species they support.

It is important to understand the effects of soil characteristics on a species success.

Degraded, acidic soils are prevalent across the Americas, yet a paucity of studies have evaluated the adaptability native tree species to these conditions for consideration in incentive-supported reforestation schemes (Tilki and Fisher, 1998).

The majority of research has focused on Costa Rica, with results demonstrating the importance of using locally adapted species for rehabilitation of degraded lands

(Montagnini and Sancho, 1990; Perez et al., 1993; González and Fisher, 1994).

Despite the paucity of studies that consider the Amazon, much of the knowledge that has been acquired regarding the impact of soils and associated biota on trees is transferrable. For example, data acquired by Carpenter et al. (2004) suggested survival and growth of trees in their study were negatively correlated with soil erosion. This observation may be due to the negative relationship between arbuscular mycorrhizal fungi and levels of soil erosion (Carpenter et al., 2001). Trees 42

associated with arbuscular mycorrhizal fungi have shown improved utilisation of phosphorous, a nutrient that is frequently limiting to plant growth in the tropics.

Inoculation with appropriate strains of arbuscular mycorrhizal fungi is important as it can significantly increase plant survival and productivity.

Characteristics that may increase success of a species in the context of pasture lands in the Amazon include tolerance to high levels of irradiance and aluminium, fast growth and biomass production that enables trees to outcompete weeds and certain species may be able provide an advantageous association with neighbouring trees or crops through their ability to fix atmospheric nitrogen. Nichols et al. (2001) studied techniques to enhance the growth of Terminalia amazonia on degraded

Utisols in Costa Rica. Four years after planting, T. amazonia inter-planted with the leguminous nitrogen fixing tree Inga edulis (with no fertiliser applied) was 15% taller than all other treatments, including T. amazonia treated with annual applications of fertiliser. Transfer of nitrogen from nitrogen fixing leguminous trees to pasture grasses has also been recorded (Sierra and Nygren, 2006; Sierra et al., 2007).

Experimental evaluation of local species led one Colombian farmer to discover the silvopastoral benefits of an endemic and rare , Mimosa trianae, which outperformed the other species in the trial and shows promise for the development of silvopastoral systems of the Andean foothills (Calle et al., 2012). Native species consistently show promising results in trials, but are frequently overlooked.

Butterfield (1995) screened 84 species of hardwoods for forestry development potential in Costa Rica and found that of the species whose performance was in the top 25%, 67% were native. In one of the only studies of its kind, research that 43

considered capoeira (secondary vegetation) species as supplementary forages in

Northeastern Brazil highlighted many species that could be of potential use to silvopastoral arrangements in the Amazon. Hohnwald (2016) used a randomized block design to assess relative palatability, height, biomass production, and chemical composition of foliage. Their results highlighted the potential of unexplored species present in diversity of the capoeira for formal integration into livestock production.

The promising results of this research suggest similarly useful but unexplored plant capital may exist across Amazonia.

The International Livestock Centre for Africa defines four management strategies for silvopastoral systems: fodder tree banks, intensive feed gardens, alley grazing via a rotational system or alley grazing via a permanent system (Reynolds and Cobbina,

1992). ‘Fodder tree banks’ or ‘tree protein banks’ are closely spaced planting arrangements at high densities. Livestock access to the trees can be controlled by fencing. Fodder banks and intensive feed gardens incur additional management inputs such as labour but offer opportunities for greatly increased yields due to higher planting densities (Reynolds and Cobbina, 1992). More than 10,000 fodder shrubs or trees per ha-1 may be considered an ‘intensive’ silvopastoral system

(Murgueitio et al., 2011). Hedge (1983) recommended a density of 10 to 15 trees per m2 for Leucaena leucocephala (Devendra, 1990). Pathak et al. (1980) report higher yields from trees at a density of 40,000 trees ha-1 than 15,000 trees ha-1 (Sanchez,

2002). Savory and Breen (1979) found a planting density of 60,000 trees ha-1 produced greater yields than 10,000 or 30,000 trees ha-1 (Sanchez, 2002).

Intensive feed gardens are cut and carry systems similar to fodder tree banks. 44

However, in the intensive feed garden system, livestock are kept separate from the forage plants. Livestock can be housed and fed in stalls, or pasture grazed and offered supplementary forage. An example of management of this system may include closely spaced hedgerows of forage plants (2 - 4 m spacing) with grass sown between rows (Reynolds and Cobbina, 1992).

A rotational system of alley grazing uses a wider spacing between hedgerows (3 - 4 m) that livestock graze directly. Livestock are rotated between plots of forage plants, allowing plants time to rest. For forage tree Gliricidia sp., a suitable rotation may be 2 weeks of direct grazing followed by 8 to 10 weeks of rest period (Reynolds and

Cobbina, 1992). The alley grazing-rotational system has been used successfully in

El Hatico nature reserve in , where conventional ranching management of pasture was replaced with an intensive silvopastoral system with a resultant increase in milk production of 130% (Murgueitio et al., 2011).

A permanent system of alley grazing may use the widest hedgerow spacing (7-10 m). Free ranging livestock graze the system directly. Defoliation intensity of fodder trees is offset by the higher palatability of grasses. Knowledge of the effect of trees on animal nutrition and palatability is critical as care must be taken to manage the exposure of livestock to excessive intake of secondary compounds (e.g. Mimosine in the highly palatable Leucaena leucocephala) (Reynolds and Cobbina, 1992).

Of particular relevance to the alley grazing systems are the interactions between trees and pasture grasses. In tree-pasture systems there may be between the trees and the pasture for light, moisture and nutrients (Sousa et al., 45

2015). Selecting deep-rooted tree species may reduce this competition. In addition, shading caused by trees can have negative impacts on the productivity of pasture, which may reduce potential stocking capacity for livestock production (Parsons et al.,

1983; Jackson and Ash, 1998). For this reason, in alley systems, hedgerows of forage trees can be planted on east-west lines to minimise pasture shading. Pasture productivity may also be greater in silvopastoral systems (Sousa et al., 2015). As an additional benefit, grass species adapted to shade generally have improved nutrient composition than species tolerant to high levels of irradiance (Russo and Botero,

1994). At a planting density of 6 x 6 m in Costa Rica, the legume tree Erythrina poeppigana (subfamily Fabeaceae) was shown to positively affect yields of some adjacent pasture grasses species such as Panicum maximum, Brachiaria brizantha,

B. humidicoia and Cynodon nlemfuensis, but decrease yields of other species such as B. dictyoneura and Pennisetum purpureum (Russo and Botero, 1994). In practice, any positive effect of trees on pasture productivity may be negated at high stocking densities combined with low canopy cover as livestock may seek shade and therefore inhibit tree growth and degrade shaded grasses and soil.

A range of destructive and non-destructive techniques have been developed to determine pasture productivity. Non-destructive techniques can also give good estimates of pasture yield; Mannetje (2000) categorised these indirect methods as visual estimation (including the pasture plate meter and pasture capacitance meter techniques) and estimation based on grass height and density measurements.

Destructive techniques are generally accepted to be a more reliable indicator of pasture productivity, but it is important to include an adequate number of samples

(Wilm et al., 1944; Frame, 1981). Grazed swards display inherent variation, which 46

means a large number of samples are required (Shaw et al., 1976; Vermeire et al.,

2002). Sampling is usually done by quadrats; it has been found that, particularly in row sown pastures, rectangular quadrats exhibit decreased variation than square ones (Mannetje, 1978). The cutting height of samples also affects estimates of pasture yield. Thomas and Laidlaw (1981) recommend that for forage estimates, cutting height be selected at minimum grazing height used by the type of animals the experiment considers and the experiment’s objectives. This is in contrast to Hodgson

(1979) who suggests cutting at ground level. Ultimately, the technique used to determine pasture productivity in a study will be determined by time and cost constraints.

Cattle browse on trees and shrubs, and trees and shrubs can be managed as resources for cattle production. There is need for more research into which species cattle browse, and the amount and type of browse consumed by cattle of each species. To determine how to best document the interaction of cattle with browse at the species level it is necessary to review the existing literature on how plants respond and adapt to the herbivory. Research on herbivory is highly relevant to the present study, yet such information is scarce, particularly at the species level.

Therefore, the following discussion seeks to understand the underlying processes by which plants respond to defoliation. Trees and shrubs show varying levels of adaptive responses to defoliation, which may be a result of herbivory by arboreal or terrestrial animals, or by humans harvesting foliage or wood for a variety of purposes

(e.g. coppicing) (Hardesty and Box, 1988). Defoliation may affect the productivity of trees or cause mortality in species that are not adequately adapted to the type of defoliation they are subjected to. The response to defoliation is species specific, and 47

can also be influenced by the type of defoliation, intensity and/or frequency of defoliation and environmental factors such as water availability in the period of defoliation. Management of species for their foliage or wood therefore relies on an understanding of the implications of different management strategies on productivity.

Erdmann et al. (1993) highlight the difficulty of comparing the biomass productivity of trees between studies due to inter-study inconsistencies and incomplete information, as important parameters such as the age of plants, cutting heights, plant densities and plant component biomass are not always specified (Erdmann et al., 1993).

The majority of work on defoliation has focused on effects of defoliation frequency and defoliation intensity. However, the ‘cutting’ height has also been shown to be of importance in the management of some species. For example, Sesbania grandiflora experiences mortality following repeated cutting of the main stem (Ella et al., 1989), but has been reported to survive well if only side branches are removed (Stür et al.,

1994). Dry matter productivity for Leucaena leucocephala was shown to vary with cutting height by Osman (1981). Osman (1981) reported greater yields from a cutting height of 90 cm compared to heights of 15 cm or 150 cm. Similarly, variations in yield as a response to cutting height have been shown to exist in other forage trees such as Calliandra calothyrsus (Catchpoole and Blair, 1990). Other species, such as

Gliricidia sepium, exhibit less response to cutting height. Erdmann et al. (1993) determined a lower yield at a cutting height of 0 cm but no significant difference in dry matter yield between a cutting height of 25 cm or 100 cm.

Defoliation intensity can be conceptualized as a measure of the amount of vegetation removed relative to the total plant biomass in a defoliation event. 48

Defoliation frequency is the time between defoliation events. Intensity and frequency of defoliation are often combined and compared in studies. Abbott et al. (1993) developed a ‘defoliation index’, where visual estimates of manual defoliation intensities were made and combined with defoliation frequency. For example, a defoliation index of 100 would be derived from four seasonal annual defoliations of

25%, or one single defoliation event of 100%. They conclude, in the case of

Eucalyptus marginata, that repetitive, low-intensity defoliation has a greater impact on growth (measured by stem diameter) than defoliation events at low frequency but with high-intensity. Teague (1989) found Acacia karroo trees response to more frequent defoliations (8 weeks versus 12 weeks) resulted in a higher yield, and that they adjusted to cope with frequent defoliation. In contrast, Erdmann et al. (1993) found Gliricidia sepium produced low biomass when cut at 3-week intervals, which is consistent with the findings of Ella et al. (1989) and Duguma et al. (1988) for

Gliricidia sepium and also those of Guevarra et al. (1978) for Leucaena leucocephala.

Studies that neglect to compare different defoliation frequencies and intensities may overlook important inter-species variation important for the appropriate management of individual species. By comparing growth rates with change in mean growth rates management strategies can be tailored to optimise the cutting interval and result in higher productivity and less risk of mortality (Stür et al., 1994). Ella et al. (1991) demonstrated the benefit to productivity of a long period before the first cut or harvest of forage trees by showing that age at first harvest was positively related to yield at subsequent harvests. They found shorter cutting intervals were positively correlated with an increase in leaf biomass, whereas longer cutting intervals 49

generally stimulated production of woody biomass (Ella et al., 1991). There are significant differences in the effects of browsing or coppicing on species (Hardesty and Box, 1988). Browsing is often less severe than coppicing as the ratio of wood to leaf area removed is generally lower. In turn, this may mean there are more buds and leaf regrowth area left from which trees may regenerate foliage. As Hardesty and Box (1988) assert in their study of the effects of coppicing and browsing on species in North-eastern Brazil, there is weak evidence to support the assumption that defoliation may stimulate growth which exceeds that of plants which do not experience defoliation. This response is highly dependent on the species and the context in which they are found.

Only by measuring these characteristics and adaptations can species and appropriate management strategies be identified which are likely to result in increased productivity of browse components for animal consumption, of interest to the development of silvopastoral systems. Furthermore, context specific factors such as soil health, climate or presence of pests may result in considerable intra-species variations and should not be ignored. Trials that evaluate these characteristics of species must be carried out in a context appropriate to the application of the results.

Methodologies that experimentally evaluate the impact of browsing on foliage are needed in order to measure the context specific potential production of browse.

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4. Traditional Livestock Production Models And The Potential For Silvopastoral

Systems: Influence On Soil Health

Silvopastoral systems have been proposed as a method for rehabilitating degraded soils as they incorporate trees, which have been shown to maintain and improve soil characteristics (Hohnwald et al., 2005; Murgueitio et al., 2011). Trees can benefit the physical properties of soils and can reduce soil erosion events caused by runoff

(Murgueitio et al., 2011) and leaching (Bishop, 1983), enhance water infiltration

(Ilstedt et al., 2007), counteract compaction (Murgueitio et al., 2011) and increase soil aeration (Bishop, 1983). Silvopastoral systems may therefore present a positive contribution to soil health compared to current models of livestock production in the

Amazon, which typically result in pasture degradation (Martínez and Zinck, 2004).

The magnitude of the effect of livestock on soils has been related to stocking rate, grazing system, soil texture and soil moisture content (McCalla et al., 1984; Van

Haveren, 1983; Martínez and Zinck, 2004). The success of post pasture abandonment recovery of soils has been shown to vary with the prior intensity of pasture use (Uhl et al., 1988). An important factor to consider when selecting species for rehabilitation potential is the influence of a species on soil properties

(Tilki and Fisher, 1998).

Attempts to quantify levels of pasture degradation have used soil physical parameters such as bulk density and infiltration rate as indicators of degradation.

Bulk density is related to soil compaction and measurements are simple and cost- efficient when compared to other methods developed to measure compaction such as computerised tomography (Pedrotti et al., 2005) or sensor based technology

(Quraishi and Mouazen, 2013). Bulk density is the weight of dry soil divided by a 51

known given volume; it is typically measured by extracting soil cores in a cylinder of known volume, Guo et al. (2016) used a cylinder with a volume of 100 cm3 and

Pedrotti et al. (2005) a volume of 90 cm3. It is generally accepted that larger volume cylinders reduce edge effects of this sampling technique.

Soil with a bulk density greater than 1.6 g cm3 begins to restrict root growth in some species. An increase of 30% in bulk density compared to forest has been used as a threshold value corresponding to severe soil degradation of pastures (Hecht, 1982).

Increased bulk density is positively related to increases in the intensity of grazing regimes. High bulk density has a negative effect on pasture production and has been shown to reduce the protein content of pasture grasses and is associated with increased presence of weeds (McCarty and Mazurak 1976; Martínez and Zinck

2004). Reátegui et al. (1990) found a 20% increase in bulk density when continuously grazed pastures were compared to pastures protected from grazing in the Peruvian Amazon. In another study into Amazon pasture degradation, Moraes et al. (1996) found after nine years of grazing a 26% increase in bulk density compared to forest. Stephenson and Veigel (1987) found it took 16 months to recover initial bulk density once grazing had ceased, which is consistent with Alegre and Cassel

(1996) who found the effect of grazing on bulk density was reversible once livestock were removed. McCalla et al. (1984) found bulk density can predict infiltration rate across a variety of soils and ground cover characteristics. Viana et al. (2014) found soil bulk density was variable across a gradient of land rehabilitation in the Amazon.

Bulk density was highest in degraded pasture, decreased in two rehabilitation trials using woody species and was lowest in natural forest. Total soil nitrogen concentration increased along the same gradient. They proposed degradation and 52

rehabilitation measurements of Amazon pastures can be derived from measures of soil total nitrogen and bulk density (Viana et al., 2014).

Water infiltration is a measure of the time taken for water to infiltrate a soil. It is an important factor governing the runoff of water over land. If infiltration rate is low then the probability of flooding and soil erosion are increased. Measurement of infiltration rates is commonly carried out using either single or double ring methodologies.

However, results may be affected by soil disturbance from ring installation and an unrealistic water pressure (Benegas et al., 2014). The presence of livestock in pastures has been shown to decrease infiltration rate, whereas tree presence has been shown to increase infiltration rate (Benegas et al., 2014). Basic infiltration has been shown to decrease 98% when grazed pastures are compared to intact forest in studies on fine textured soils (Martínez and Zinck, 2004). Martínez and Zinck (2004) observed that the majority of changes in infiltration rate occur within the first 3 years of pasture establishment. Alegre and Cassel (1996) found that, in the Amazon, infiltration rates were decreased after five years of pasture establishment. Benegas et al. (2014) found infiltration rates in pastures were positively correlated with proximity to trees.

Soil organic matter (SOM) refers to the fraction of soil that is derived from living or once living plant or animal organisms. SOM has an influence on the physical, chemical and biological properties of soils (Stolt and Lindbo, 2010). Soil SOM contributes to the quantity and diversity of microbes in soils. A relatively high soil organic matter is considered beneficial for agriculture as the presence of SOM can increase the physical properties of the soil, such as the aeration and water infiltration 53

rate. SOM can alter the soils chemical properties, a soil with high SOM is more likely to have a higher cation exchange capacity than a soil with low SOM, and be more likely to resist changes of pH. Buschbacher et al. (1988) found that biomass was not correlated with nutrient content in regenerating pastures, but did not consider soil organic matter in their study. This contrasts with the findings of Montagnini and

Sancho (1990), who studied the impacts of native trees on the abandoned pasture soils of Costa Rica. They used the Walkley-Black acid digestion method to determine soil organic matter. After 2.5 years they reported an increase in soil organic matter from 4.83% in a grass control to 5.31-6.60% in the upper 15 cm of soil beneath native trees. They found a positive relationship between the soil organic matter content and sum of bases, which highlights the importance of soil organic matter to cation retention capacity. They observed that land use practices that negatively affect the level of organic matter, such as the use of fire, were less sustainable than practices that have been shown to recover soil organic matter such as planting trees which can increase soil organic matter through the inputs of leaf litter and root turnover.

Sustainable systems are often managed with the goal of balancing the nutrient cycle.

It has been proposed that trees can act as ‘nutrient pumps’, accessing reservoirs of nutrients that may be present in lower soil horizons and distributing them to the surface as litter. Kumar et al. (1998) present indicative results that when soil is associated with trees it has a higher organic carbon, nitrogen, phosphorous and potassium content when compared with soils without trees. Nitrogen fixing species increased soil nitrogen, whereas levels of soil organic carbon were highest under

Leucaena leucocephala and Acacia auriculiformis. However, as discussed by Wang 54

et al. (1991), there are noticeable differences in the nutrient cycling of systems where the tree component is produced with the intention of improving soil characteristics and systems where biomass is produced with the intention of removal from the site. Nutrient concentrations are not consistently distributed between different plant components and in addition this distribution may vary considerably between species (Wang et al., 1991). This assertion is consistent with the findings of

Achat et al. (2015), who found removal of biomass reduced the amount of organic matter in soils, reduced total and available nutrients in soils and resulted in increased acidification of the soils. Boddey et al. (2004) studied nitrogen cycling in grazed

Brachiaria pastures in Brazil and found cattle unevenly deposit nitrogen acquisitions, the highest concentrations were found in rest areas and proximate to drinking troughs. This means nutrient accounting related to the removal of biomass is a complex, but important requisite of designing any truly ‘sustainable’ system. In the context of silvopastoral systems, understanding the nutrient cycle is additionally complicated by the animal component that may result in nutrient removal or their unequal deposition (Boddey et al., 2004).

5. Evaluating the Forage Potential of Tree Species

Tree forages are an important source of feed for ruminants around the world (Dynes et al., 2002). In order to intensify production of livestock systems it is necessary to understand how the quantity and quality of inputs govern outputs. Therefore, it is crucial to evaluate forages to understand their value to livestock. Forage value, sometimes referred to as nutritive value, refers to the relationship between a unit of forage intake and a unit of animal productivity (Dynes et al., 2002). ‘Feeding value’ is

55

used to describe the amount of voluntary intake of forage by an animal and the forage nutritive value. Ulyatt (1973) calculated that variation in intake could account for up to 70% of variation in feeding value. Weston (1982; 1985; 1996) proposed the

“forage consumption constraint” in reference to the phenomena whereby animals’ intake is less than required for optimal output. It was proposed the constraints include environmental stress, forage components which complicate removal from the rumen, low palatability and high harvesting expenditure. Understanding constraints to intake of forages is important to the goal of increasing animal productivity, as forage of high nutritive value is of limited use if it is not palatable to animals.

Palatability can be conceptualised as an animal’s choice of feed, and the feed intake displayed by an animal. The amount of forage eaten by animals has not been related to any specific or fixed pattern of its nutrient composition (Crampton, 1957).

Therefore, palatability can only be evaluated through feeding trials, but this gives no indication as to the digestibility of the forage. Digestibility is “a measure of the availability of nutrients” (Khan et al., 2003); yet, digestibility is not always an accurate predictor of nutritive value, or vice versa (Dynes et al., 2002). In vivo, in vitro and in sacco techniques are methods that have been used to evaluate the digestibility of forages. The ‘total collection’ technique is commonly considered the most reliable measure of digestibility (Khan et al., 2003). This approach uses feeding trials and records feed intake, refusals and faecal output. Minson et al. (1964) described digestibility as a function of the percentage of faecal output relative to the weight of organic matter consumed. Feeding trials are costly, time consuming, and while a 7 to

21 day period is allowed for cows to adjust to a feed, their intake may still be affected by environmental stress (Khan et al., 2003). This method of estimating digestibility 56

also suffers from an inherent animal-to-animal variation of 1 to 4% (Khan et al.,

2003). Other in vivo approaches include the use of markers by identifying either a naturally indigestible constituent of the feed or applying external substances. The presence of markers can then be identified from faecal samples.

In vitro digestibility and in sacco degradability can be used to indicate the nutritional value of forage (Rittner and Reed, 1992). Tilley and Terry (1963) used a method for in vitro digestibility by incubating the forage in rumen fluid followed by acid pepsin and measuring the amount of forage degraded over time. A modification to this technique is measuring the gas production of this process which has the additional benefit of accounting for microbial growth and soluble and insoluble fractions in feed, including tannins (Theodorou et al., 1994). The nylon bag technique is an in sacco technique which additionally provides some measure of kinetic digestion processes in ruminants. Both in vitro and in sacco experiments require the use of fistulated animals and experiments demonstrate poor reproducibility, in part due to variations in the rumen fluid used. Furthermore, results yielded by this methodological approach offer no indices of palatability or animal production.

While there are many factors that influence the efficiency of digestion, one of the most significant is the chemical composition of the feed. This is of particular relevance when considering forages derived from tree foliage. Many tree species develop high levels of secondary structures in their foliage to deter .

Chemical compounds can alter taste and odor which make them unpalatable or limit their nutritional value (Hess et al., 2005). These compounds make multiple demands on the animal. For example, they can affect methanogenesis in cattle (Sun et al., 57

2012). Carulla et al. (2005) found condensed tannins in Acacia species decreased hydrogen and resulted in a 13-24% drop in methanogenesis. Voluntary intake of a forage may also change over time, presumably as a response to post-ingestion feedbacks (Maasdorp et al., 1999).

Hydrolysable tannins and condensed tannins are the two major groups of plant tannins generally found in tree foliage (Reed, 1995). Hydrolysable tannins are potentially toxic to ruminants whereas condensed tannins may reduce the digestibility of a forage (Kumar, 1992). In some cases, the presence of condensed tannins can have beneficial effect on protein digestion and metabolism. Barry and

Blaney (1987) report a beneficial effect of condensed tannins when foliar concentration is 2-3% of dry matter. The rumen escape theory suggests this beneficial effect is due to tannins forming complexes with proteins which escape ruminal degradation and become available in the lower gastrointestinal tract (Reed,

1995). However, Vitti et al. (2005) assert that tannin concentrations above 5% are deleterious to metabolism.

One of the most widely planted forage tree legumes, Leucaena leucocephala, offers an example of the complexity of plant chemistry in relation to animal production. L. leucocephala contains the toxic secondary compound mimosine in its leaves and pods, at dry matter concentrations reported as 12% in growing tips and 3-5% in young leaves (Monoj and Bandyopadhyay, 2007). For this reason, it is generally recommended that L. leucocephala comprise no greater than 20-30% of ruminant diet. Ruminant animals can be inoculated with microbes shown to be able to break down mimosine to non-toxic compounds. This suggests the existence of other rumen 58

organisms capable of degrading other phenolic compounds (Devendra, 1990). Due to the multiple interactions between plants, chemistry and livestock it is difficult to ascertain the value of a new species for forage value through chemical analysis alone (El Hassan et al. 2000). Feeding trials may be considered the most appropriate way of ascertaining the effect of forage on animal nutrition (Kumar,

1992).

Maasdorp et al. (1999) employed 20 cows in a feeding trial where amount of forage consumed and milk production offered insights into the forage value of different trees to ruminants. They found supplementary feeding of Leucaena leucocephala and

Acacia boliviana increased milk yields, but that Calliandra calothyrsus did not have a significant effect. They reported a strong association between milk yield and the organic matter degradability of tree forages. Forage content of ytterbium-precipitated and neutral detergent fiber were both negatively correlated with milk yield. When measured via fodder intake trees exhibited different levels of palatability.

The palatability of Calliandra calothyrsus appeared to improve with time. The study showed the effect of different tree legumes on cattle milk production. It also highlighted the divergence between measurable chemical constituents and observed livestock production.

An ongoing challenge of forage evaluation is to identify plant characteristics that can be used to predict the value of a forage species for animal feed. Many farmers are aware of potential forages for cattle, reflected in the common practice of allowing cattle to graze on fallow lands and roadsides. Farmers may also exhibit preferences towards some trees and remove others (Fujisaka et al., 2000). An improved 59

understanding of native species management requirements and forage quality with regard to livestock productivity may provide evidence necessary for practitioners to demonstrate the efficacy of such systems over conventional management.

6. Summary and Rationale

The Amazon rain forest represents a vast natural capital that has been under- evaluated and under-utilised in the context of livestock production. Many studies that aim to develop agroforestry or silvopastoral systems have highlighted the importance of evaluating native species adapted to the local environmental conditions to increase chances of success. The current paradigm of livestock production in the

Amazon is essentially a consumptive land use that drives forest loss and reduces the provision of ecosystem services. Silvopastoral systems represent an opportunity for sustainable intensification while simultaneously rehabilitating ecosystem functions.

This thesis aims to develop a framework that could be used to assist the decision making of how to integrate trees into agriculture to meet the needs of a given landowner. It is envisaged that this framework would be transferrable between locations and could outline some key questions that arise when attempting to identify, at a given site, appropriate agroforestry or silvopastoral arrangements. The framework could describe methods for the appropriate selection of species, planting design and management of resources. This framework will be introduced in Chapter

II, in which the decision-making process for the design of the present study will be outlined with a detailed description of the study site.

60

This thesis aims to address the contextual limitations of previous research into silvopastoral systems by developing a novel silvopastoral system that could be adopted in the pasturelands of the Amazon. The objective of this silvopastoral system is to increase the per hectare productivity of edible tree forage for cattle and carbon sequestration potential per hectare when compared with conventional pasture models in the region.

In order to achieve this, this thesis will need to address the lack of knowledge of locally adapted forage plants in the Amazon. It is beyond the scope of this thesis to provide an overview of all potential forage plants. Therefore, this thesis selects five tree species that are native or locally adapted and have some positive reference to palatability in the literature or in local knowledge. These five species will be planted in an experimental trial in a pasture that is typical of the region. Chapter III will discuss the growth, biomass production and effects of these species on soil chemistry and a commonly used pasture grass of the Amazon.

The most comprehensive assessment of carbon stocks is derived from the destructive sampling and combustion of individual biomass components. A less labour intensive method is to choose an easily measurable part of a tree that has some relationship to total biomass (usually the diameter at breast height, measured at 1.3 m above the ground) and develop allometric equations that relate this measurement to total biomass, which in turn can be used to estimate carbon sequestration. This approach can has also been used to estimate the forage production of trees and shrubs. As both the sequestration of carbon and forage production are objectives of this thesis, allometric equations are presented for each 61

of the species that showed good adaptations to the pasture environment. The allometric equations are calculated for each biomass component, and the fit of linear, quadratic and log linear models for each of these components are compared in

Chapter IV.

Complex methodologies and resources that are beyond the reach of a farmer support the current research into the forage potential of plants. Less work has concentrated on how measurements can be taken before a plant is exposed to cattle and repeated afterwards to measure the removal of biomass by cattle. Such an approach could be a valuable on-farm tool for a preliminary assessment of the forage potential of trees. Chapter V describes and compares four such methodologies for estimating the removal of foliage by cattle and the impact of the cattle on the trees. The total available biomass of tree and grass foliage per hectare is estimated for each of the treatments.

Chapter VI concludes the present study, and summarises some of the major findings and limitations of this study. The present work is considered in the context of the existing literature. Finally, future research is described as both direct extensions of the present work and the broader issues that need to be addressed to support the transition of silvopastoral systems from theory to practice in the Amazon rainforest.

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H., 2007. Projecting land use changes in the Neotropics: The geography of pasture expansion into forest. Global Environmental Change, 17(1), pp.86-104.

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Wang, D., Bormann, F.H., Lugo, A.E., Bowden, R.D., 1991. Comparison of nutrient-use efficiency and biomass production in five tropical tree taxa. Forest Ecology and Management 46, 1–21. https://doi.org/10.1016/0378-1127(91)90241-M

Weston, R.H., 1996. Some aspects of constraint to forage consumption by ruminants. Australian Journal of Agricultural Research. 47, 175–198.

Weston, R.H., 1985. The regulation of feed intake in herbage-fed ruminants. Proceedings of the Nutrition Society of Australia. 10, 55–62.

Weston, R.H., 1982. Animal factors affecting voluntary feed intake, in: Hacker, J.B. (Ed.), Nutritional Limits to Animal Production from

Pasture. Commonwealth Agricultural Bureaux, Slough, pp. 183–198.

White, R.P., Murray, S., Rohweder, M., Prince, S.D. and Thompson, K.M.,

2000. Grassland ecosystems (p. 81). Washington, DC: World Resources Institute.

Wilm, H.G., Costello, D.F., Klipple, G.E., 1944. Estimating forage yield by the double-sampling method. Journal of the American Society of Agronomy.

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CHAPTER II

FRAMEWORK AND METHODOLOGY

1. Objective

The objective of this chapter is to outline a theoretical framework that can be used to evaluate the potential of tree species for a purpose driven agroforestry system and demonstrate how this framework can be employed in a practical setting. The chapter will describe the establishment of a silvopastoral system based on the principles presented in the framework and outline a practical example of how the decision making process has been used in the design of a field experiment. The framework consists of four interacting components: the purpose, the species, the site and the planting design (Figure 1).

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Figure 1. Theoretical framework for the evaluation of candidate species for agroforestry systems

The purpose can be described as the reason that necessitates the implementation of an agroforestry system. The subsequent components of species, site and planting design are independent and complex issues that must be overcome in order to achieve the purpose. Sanchez (1995) assert that the biophysical determinant of successful agroforestry systems is the appropriate management between trees and crops for light, water and nutrient competition. Even if the purpose is the plantation of a single tree species, consideration can be given to additional species that can increase the benefits provided per hectare, such as ground cover leguminous plants that may increase soil fertility or mychorrizae that may benefit the species of interest.

The next section aims to put these components into the context of the purpose of designing a silvopastoral system for the increase in productivity per hectare of edible biomass production for cattle in the southwestern Amazon.

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2. The Purpose

The purpose of this study was to identify native potential forage trees in the Amazon that could increase the production per hectare of edible biomass for cattle. Systems that manage tree or shrub and animal components are known as silvopastoral systems. There is no minimum tree or shrub component of a silvopastoral systems, which may be almost all pasture with a few trees for shade or timber and little management, it may be a eucalyptus plantation where the manager sees cattle as a useful byproduct that controls grass, or an intensive silvopastoral system that aims to provide balanced nutrients to cattle using with strips of forage legumes and highly productive African grasses, but without a major canopy element. In general, while silvopastoral systems include both animal and plant elements, they may be managed predominantly for the production of timber or livestock. The purpose of the current study is an empirical evaluation of the potential of tree species to increase per hectare productivity of edible biomass when compared to the status quo (no trees), under the assumption that an increase in edible biomass can result in an increase in stocking density and therefore an increase in livestock production per hectare.

3. The Site

In Figure 1, the ‘site’ refers to the biotic and abiotic resources available, and can also be described as the balance of inputs and available to the system and the constraints placed upon the system. The conditions of the site will be either advantageous or disadvantageous to the set of species of under consideration. In order to design an optimal system it is important to understand how the site, the species and the management of the species interact. This understanding can be

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gained via observation of landscapes, consultation with local ecological knowledge, a review of the literature and the use of pilot studies. For the best chances of success, agroforestry systems could include diverse species and arrangements and be subject to adaptive management.

3.1 Site Description

The present study is situated in Madre de Dios, Peru (Figure 2). Madre de Dios is a part of the Tropical Andes Biodiversity Hotspot and in the Southwestern Amazonian

Moist Forests Global 200 Ecoregion (Olson and Dinerstein, 2002; Myers, 2001). The site is located 8 km from the region’s capital of Puerto Maldonado in an area known as the Cachuela.

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Figure 2. Location of the study site in Madre de Dios, Peru

The site was a cattle pasture from 1970-2000 and in 2000 the site was abandoned.

The Cachuela is an agricultural region prone to seasonal flooding, with a mosaic of secondary forests, farms and cattle pastures. A total of 4 hectares of land was available of which 2.7 was to establish an experimental silvopastoral system and 1.3 was to develop the tree seedling nurseries, cattle corrals and associated infrastructure. In its entirety the plot was 100 x 400 m (Figure 3, Figure 4).

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Figure 3. Experimental site in 2002 with the future location of the plots projected

Figure 4. Experimental site in 2015 with the future location of the plots projected.

3.2 Floristic Description of Site

The site was historically a cattle pasture that had been given to 15 years of natural regeneration and species that had been propagated by the cattle dominated, notably

Psidium guajava and Genipa americana. Additional species at the site included

Ormosia coccinea, Cecropia spp., Attalea butyracea, Ficus spp., Moena alcanforada,

Apeiba membranacea, Ceiba spp. and Ochroma pyramidale.

The most eastern point of the site began approximately 150 m west of the river

Madre de Dios and extended 400 m away from the river. The site was on a mid to high floodplain that may have formed during the Younger Dryas which continued until approximately 3.7 ka BP (Nikitina et al., 2011). The site did not flood from the

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river but was prone to inundation from rainfall events. Floods from the adjacent river were experienced less than 100 m from the site. On the northern edge of the site there was a seasonal lake, fed by rainfall and seasonally connected to a network of swamps and clear water streams.

3.3 Climatic Description of Site

From 1970-2000 the annual mean temperate at the site was 25.3 °C with a mean diurnal range of 10.3 °C (Figure 5). The maximum temperature recorded in the hottest month during this time period was 31.6 °C and the minimum temperature recorded in the coldest month was 18.2 °C. On average, annual precipitation was

2122 mm, the highest level of precipitation in the wettest month was 319 mm and that of the driest month was 55 mm (Figure 6). Solar irradiation on average was

14400 kJ m-2 day-1, with an annual maximum of 16081 kJ m-2 day-1 and a minimum of 12946 kJ m-2 day-1 (Figure 7). All climate data was derived for the years 1970-2000 for a 1 km2 resolution from the WorldClim dataset (Hijmans et al.,

2005).

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33 31 29 27 25 23 21

Degrees Celsius Degrees 19 17 15

Figure 5. Average (solid line), maximum (dotted line), and minimum (dashed line) monthly temperature (°C) from the period 1970-2000 for the study site derived from the WorldClim dataset (Hijmans et al., 2005).

350 300 250 200

(mm) 150 100 50 0

Figure 6. Average monthly precipitation (mm) from the period 1970-2000 for the study site derived from the WorldClim dataset (Hijmans et al., 2005).

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16500 16000

15500 )

1 15000 -

day 14500 2 - 14000

(kJ m (kJ 13500 13000 12500 12000

Figure 7. Average monthly level of solar irradiation (kJ m-2 day-1) from the period 1970-2000 for the study site derived from the WorldClim dataset (Hijmans et al., 2005).

3.4 Edaphic Description of Site

The sites physiography is a recent alluvium (Osher and Buol, 1998). The depth of the water table varied from 0.5 - 1 m in the rainy season, to 7 - 10 m in the dry season. The soil at the site could be described as a Gleysol or Fluvisol (FAO, 2015) or Alfizol or Entisol (Eswaran et al., 2002). There were no clear distinctions of the soil horizon, which was grey or red brown and dominated by clay particulates. This resulted in low soil porosity and a slow infiltration rate. Frequent and high intensity precipitation events combined with a history of cultivation could have contributed to the highly weathered soils (Moreira et al., 2006). The pH of the site was acidic with a site average of pH 5.5.

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3.5 Social and Economic History

Archeological evidence points to human habitation in the Madre de Dios region for over 1,000 years (Mann, 2008). Petroglyphs found along the Palotoa, Shinkebenia and Urubamba and in the Pongo de Mainique suggest these areas were important for early trade. The Inca’s were well aware of the populations in the forested regions of Amarumayo, as it was then known. Missionaries, botanists and those in search of

Paititi were the first ‘explorers’ of the region of Madre de Dios, which was inhabited at the time. The first successful colonization occurred in 1902 as a result of the rubber boom, when the first government of Madre de Dios was formed in the newly founded town of Puerto Maldonado. The memory of the rubber trade continues in modern indigenous memory, and the tribes who overthrew the slave masters and fled to the forests continue to live in voluntary isolation in the headwaters of the Las

Piedras, Manu and Alto Purus rivers in Madre de Dios.

The first road connecting Cusco to Puerto Maldonado, the capital of Madre de Dios, was a horse path in use since the 1930’s, and the first road that was constructed to the region was in the 1960’s. In the period of 1980-1990 the Peruvian government, led by Alan Garcia, introduced policy incentives to develop agricultural expansion in the Amazon basin (Chávez Michaelsen et al., 2013). In the same period, the forests of Madre de Dios became major sources of tropical timber. The practice of selective logging for high value timber species continues to be a major driver of economic activity. Other major non-timber economies in the region are the production of approximately 10 percent of the world’s Brazil nuts and as a popular destination for tourists who visit the rainforest (Duchelle et al., 2012; Kirkby et al., 2011). The road that connects Puerto Maldonado to Cusco was continued on to the Brazilian and 96

Bolivian frontiers and was paved in the early 2000’s and converted into the major

Initiative for the Integration of the Regional Infrastructure of (IIRSA) project, also known as the Interoceanic highway, that was completed in 2011. Since the early 2000’s, Puerto Maldonado has become a popular destination for the profitable and often illegal activity of the extraction of alluvial gold deposits (Scullion et al., 2014). Property rights in the region continue to undergo reform (Perz et al.,

2016). This process is slow due to changing responsibility between different government departments. An arson attack on the Ministry of Agriculture in 2002 and on the Regional Government in 2008 destroyed many records of land ownership and was a setback to the formalisation of property rights in the region.

3.6 Future of the Amazon

The climate in the Amazon is changing. 2016 was the hottest year since 1950 (0.9

°C + 0.3 °C) and this has been related to the burning and clearing of the forest and pastures (Marengo et al., 2018; van der Werf et al., 2010). Soares et al. (2006) used deforestation rates prior to 2004 to produce a business‐as‐usual scenario that estimated that 47% of the Brazilian Amazon would be deforested by 2050 (Soares-

Filho et al., 2006). Deforestation is known to reduce evapotranspiration and precipitation. Consequently the frequency and duration of drought is increasing

(Panisset et al., 2017). Spracklen and Garcia-Carreras (2015) estimated that using the pre-2004 rates of deforestation, as a business-as-usual scenario would lead to an 8.1 ± 1.4% reduction in annual mean rainfall in the Amazon basin by 2050. Lima et al. (2014) found that regional deforestation increases the length of the dry season and the seasonal amplitude of water flow in the southwestern Amazon. Lawrence

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and Vandecar (2015) found that tropical deforestation results in a warmer and drier climate at the local scale and predict that negative impacts could extend beyond the tropics. Scientists have considered the possibility of a ‘tipping point’, which is described as a critical threshold at which an irreversible drought occurs as a result either of global warming or a 25% or 40% loss of the total forest area of the Amazon

(Lenton et al., 2008; Nobre et al., 2016; Lovejoy and Nobre, 2018). Authors who have modelled climate scenarios for the Amazon using the CPTEC model suggest it becomes drier as a result of reduced precipitation and that in place of tropical rainforest there will be an increase in savannah ( Sampaio et al., 2007; Sampaio et al., 2019). While the future of the Amazon’s response to global warming and deforestation is unknown, it is known that this is a high-risk scenario. Authors have attempted to calculate the value of the ecosystem services the Amazon contains and the financial ramifications of losing the provision of these services. Rammig et al.

(2018) predict that the loss of the Amazon in Brasil will result in short term gains of

USD 576 to 2,880 billion and a long-term loss of USD 1,367 to 6,928 billion. It is not possible to predict how future governments of Amazon nations will respond to what is now viewed as a global environmental crisis. However, the demands of a globalised economy increasingly transcend governments and can place unforeseen demands on natural resources, such as a US-China trade war resulting in increased demand for Brazilian soy that may result in a surge in deforestation (Fuchs et al.,

2019).

3.7 Site Preparation

The decision was taken to clear the site by hand to simulate a traditional ‘slash and burn’. The alternative would have been the use of heavy machinery such as tractors.

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However, this would have disturbed the soils. Site clearing began in May 2016. All undergrowth and small trees were removed by machete, and then the trees left standing were felled with a chainsaw. All fallen organic material was dried in the sun for three months. Prior to burning a 10 m fire break was cut around the perimeter of the site and cylinders of water were positioned every 100 m or so to control any unintended spread of fire. The site was burned in October 2016 (Figure 8). The fire did not spread beyond the site. However, two weeks later an uncontrolled fire from a farm 400 m away reached the edge of the site. Remaining fallen trunks were cut with a chainsaw, piled and burned (Figure 9, Figure 10). A glyphosate herbicide was applied across the site in December 2016 (Figure 11). Parcels were cleared of all vegetation by raking and hoeing. Trunk stumps were cut to ground level with a chainsaw prior to planting.

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Figure 8. Experimental site in October 2016 with the future plots projected.

Figure 9. A monumental task. All site clearance was carried out by hand to minimise disturbance to the soils.

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Figure 10. An international team of volunteers involved helped with the pile and burn.

Figure 11. When the site had been cleared of branches, the weeds at the site had grown to be unmanageable. A glyphosphate herbicide was applied across the site and the vegetation had to be cleared again. Clearance of this vegetation was done using a hoe and rake. All residues were taken off site in wheelbarrows.

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4. Species

4.1 Evaluation of Desirable Plant Traits and Candidate Trees in Silvopastoral

Systems

Kattge et al. (2011) define Plant traits as “the morphological, anatomical, physiological, biochemical and phenological characteristics of plants and their organs”. Westoby and Wright (2006) explains their importance as “control ecosystem processes and define habitat and resources for other taxa; thus, they are a high priority for understanding the ecosystem at a site”. The identification and selection of plants for a specific purpose is a critical evaluation of plant traits that determine their suitability for the intended purpose.

In this study we use the example of developing a silvopastoral system that, in the context of our study site in the Amazon, can increase the productivity of cattle production systems over monoculture approaches. In this study, desirable plant traits are those that can be identified as helping to achieve this goal (Figure 12). In the

Bragantina region of the Brazilian Amazon, Hohnwald et al. (2016) considered the following criteria of decreasing importance to select species of potential forage value for an experiment in north eastern Pará, Brazil. “good adaptations to environmental conditions (poor, acid, and compacted soils), tropical climate (with up to 3 months long dry seasons), periodical slashings and fires, high leafy biomass production, highly preferred by cattle (Hohnwald 2002; Hohnwald et al., 2015), fast recuperation abilities after defoliation, free accessibility on smallholdings, and high nutrient contents in leaves.” Promising species could be identified by crude protein and fiber values similar to that of forage grasses, and species to be avoided included those

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with high amounts of condensed tannins. Pennington (1998) selected species from the genus Inga with growth chatacteristics suitable for forestry or agroforestry use, such as land reclamation, alley-cropping systems and fuelwood. The characteristics they selected for were fast growth rates, high production of leafy and woody biomass, ability to establish and flourish on marginal sites, and ability to compete with fast growing secondary vegetation. Within the genus they distinguish between species that are non-pioneer light demanding gap species and shade tolerant plants from the forest understory, the latter being less desirable due to their intolerance to the sun and slow establishment. Román-Dañobeytia et al., (2015) used the following criteria to select species for the rehabilitation of sites degraded by alluvial mining: seed availability, ease of propagation, rapid growth in open areas, and wide geographical distribution across tropical America (Román et al., 2012). There has been a call for an exploration of the agroforestry potential of native species as they can provide unique ecosystem services and increase diversity (Butterfield, 1995;

Fisher, 1995; Murgueitio et al., 2011).

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Figure 12. Mind map of desirable plant traits in the context of developing silvopastoral systems at a site in the Amazon that could be advantageous in achieving the goal of increasing the productivity per hectare through the use of silvopastoral systems compared with traditional methods of cattle production in the region.

The list of desirable traits in Figure 12 is presented as an example of how species selection was informed in this study. Information was gathered from three categories of resources: Published knowledge, unpublished knowledge and knowledge gained by observation (Figure 13). Benavides (1995) outlined three steps for the identification and characterization of potential forage species (1) surveys of cattle workers to find out if animals prefer certain woody species (2) direct observation of animals browsing preference (3) secondary information from existing literature

(Benavides, 1995).

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Figure 13. Resources for identifying potential species for inclusion in agroforestry systems.

Local ecological and environmental knowledge (LEK) is a valuable resource for the selection of species. LEK is a resource recognised within the academic realm and has been used to manage wild plants in Albania (Tomasini and Theilade, 2019), develop knowledge of plant phenology in the Brazilian Cerrado (Campos et al.,

2018), and surveys with farmers have highlighted important local forage species in

West Africa (Naah and Guuroh, 2017). Linstädter et al. (2013) held a group interview with three herdsmen of sheep and goats to estimate palatability and nutritive value for 62 species on a pasture. Informants classified species into “refused, little or occasionally eaten, regularly eaten, highly favoured” and were asked to rank their perception of the species’ nutritive value as “bad, medium, good”. Bahru et al. (2014) carried out an ethnobotanic study of forage plants in Ethiopia with 96 informants.

One hundred twenty-six forage species of 90 genera and 43 families were collected in the study area. Naah and Guuroh (2017) used a technique known as free listing to elicit local environmental knowledge of fodder plants for goats and sheep in Ghana and Burkina Faso and found local reports of fodder potential for 95 genera and 52 plant families. Dechnik-Vázquez et al. (2019) search for potential new useful species 105

for silvopastoral purposes in Chiapas, Mexico. They used field observation by searching for plants with browsing marks, interviews with stakeholders, bromatological analysis and vegetative propagation tests. They describe cattle as generalist browsers.

In some landscapes local people have decades or even centuries of experience managing ecosystems for the production of resources that are of interest to humans.

The management of cattle in Madre de Dios is a recent occurrence, itself being only recently colonized, and is predominantly practiced by migrant farmers from the

Andes. The present study was time limited, and doubtless would have benefitted from a structured and formal review of LEK in the region. Nine informal and unstructured discussions with cattle farmers were held in preparation for the species selection in this study. A systematic review of LEK of forage plants in the Amazon is needed to understand the knowledge farmers may have regarding potential browse species. Such a review is currently lacking in the published literature.

Expert input for this study came from the author’s supervisory team who first witnessed cattle browsing on Inga edulis. On a separate occasion the author observed a plantation of three species of Inga that had been destroyed by cattle.

Additionally, information was requested from a local agroforestry practitioner who reported the unintended access of 80-100 cattle to their plantation site for approximately a three-hour period. The data they collected for their records is presented below (Table 1). However, it should be noted that this was not a replicated browsing trial by cattle, and some areas were more accessible than others.

Furthermore, no distinction was made on the type of damage sustained by the 106

plants, which may have included trampling or browsing. However, it was reported that the I. edulis was palatable as cattle were observed to browse on this species.

Direct and indirect observation of browsing preference can be elicited using means such as species identification and frequency of use as an indication of palatability.

Indirect observations of browsing habits can include monitoring of browsing damage, and types of damage, on trees and shrubs. The final criteria used in the evaluation and selection of species for the present study is synthesised in Table 1.

Table 1. Plantation tree species killed and damaged by exposure to approximately 80-100 cattle in a 3-hour period. Data provided by Camino Verde (2018). .

% plants % plants Species # of plants killed damage Inga edulis 12719 14 16 Musa sp. 1748 13 2 Theobroma grandiflora 268 6 4 Cocos nucifera 171 9 3 Euterpe oleracea 100 13 6 Hymenaea courbaril 50 14 4 Dipteryx odorata 100 6 6 Morus nigra 728 1 2 Calliandra angustifolia 875 1 1 Myrciaria dubia 100 4 1 Cedrela odorata 97 3 5 Carapa guianensis 152 1 3 Astrocaryum murumuru 48 2 0 Myroxylon balsamum 52 0 0 Genipa americana 115 0 0

Table 2. Criteria used in the selection of the final five species for the present experiment. Where ++ is best suited to -- worse suited, + or – are weak evidence to

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support either way, and ? indicate there was no information found linking the species to the criteria.

Leucaena Inga Senegalia Ceiba Erythrina Criteria leucocephala edulis loretensis pentandra berteroana Palatable to Cattle ++ ++ ++ ++ ++ Nutritious to Cattle ++ ? ? ? ? Non-toxic to Cattle - ? ? ? ? Resilient to browsing ++ + ? ++ ? Fast Growing ++ ++ ? ++ ? High proportion of edible biomass - ++ ? -- ? Can withstand high planting density ++ ++ ? - ++ Can colonise degraded soils ? ++ ? + ? Can withstand full sun ++ ++ + ++ ? Resilient to fire ? ? ? ? ? Adapted to site conditions ? ++ ? ++ ++ Fix atmospheric Nitrogen ++ ++ + -- ++ Low susceptibility to pests ++ ++ ? ? ? Accessible stock ++ ++ ++ ++ ++ Easy to Grow ++ ++ ++ ++ ++

4.2. Species Information

4.2.1 Inga edulis

Species of the genus Inga are nitrogen fixing leguminous trees (subfamily

Mimosoideae) with a range from Mexico to Uruguay (Pennington, 1998). Authors report they are fast growing (Figure 14), demonstrate excellent biomass production, coppicing ability, produce copious amounts of leafy biomass which helps control weed species and are well adapted to acid soil conditions (Szott et al., 1991; Leblanc et al., 2006). Inga species are depicted in the Mochica pottery of Peru, dated from

100-800AD, and some species have been domesticated and are now widely distributed (Leon, 1998). One domesticated species of Inga is Inga edulis, cultivated

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for their edible fruit. Farmers identified I. edulis as “useful” in previous studies in the

Peruvian Amazon (Fujisaka et al., 2000). I. edulis has been used widely in the recovery of degraded and abandoned lands in the Chanchamayo regions of Peru, where it has been used on floodplain land, shade for , recovery of nutrient poor soils following demanding crops such as pineapple or ginger, areas with compacted soils and scarce organic matter, recuperation of areas dominated by weed growth

(including various aggressive grasses) and as a pioneer species on land abandoned by landslides (Leon et al., 2016)

Dechnik-Vázquez et al. (2019) found I. edulis was ‘eagerly eaten’ by cattle as reported by cattle herders in La Sepultura Biosphere Reserve in Chiapas, Mexico.

They found 78% neutral detergent fiber, 64.6% acid detergent fiber, 57.6% non- structural carbohydrates and 0.31 g/100g of condensable tannins in the foliage of I. edulis. Staver (1989) considered I. edulis in association with Desmodium ovalifolium as a “planted fallow suitable for grazing”, and suggested I. edulis ‘grew more vigorously’ than Leucaena sp., Gliricidia sepium, and Calliandra calothyrsus when planted in observation plots. Hohnwald (2010) reported that I. edulis was palatable on a scale of very palatable, palatable or medium palatability. They report that in a browsing trial by cattle I. edulis plants may have been too small to be detected by the cattle among the tall adjacent grass. Hohnwald (2016) reported I. edulis as having

‘poor palatability’ for cattle.

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9 8 7 6 5

4 Height (m)Height 3 2 1

0

12(1)

30,(4) 12,(1) 12,(2) 12,(2) 12,(3) 18,(4) 20,(3) 24,(2) 24,(2) 36,(4) 36,(5) 36,(6) 36,(5) 36,(2) 36,(2) 36,(7) 36,(5) 42,(4) 60,(4) Months After Planting, (Reference)

Figure 14. Inga edulis growth (Height) over time (Months), from: (1) Sobanski and Marques (2014), (2) Alegre (2005), (3) Kanmegne et al., (2000), (4) Rezende & Vieira (2019), (5) Butterfield (1996), (6) Butterfield (1995), (7) Gonzalez and Fisher (1994) .

Authors have described plantations of I. edulis in planting arrangements of 3 x 3 m

(Gonzalez and Fisher, 1994; Butterfield, 1995; Haggar et al., 1997; Carpenter, 2006;

Sobanski and Marques, 2014), 3 x 1 m (Kanmegne, 2000), and 1.5 x 1.5 m (Alegre et al., 2005). I. edulis has also been described as a contour hedgerow planted at a spacing of 0.5 m (Alegre and Rao, 1996) . It is widely reported to be fast growing, in the Ecuadorian amazon the trunk diameter of I. edulis grew a mean of 5 cm year-1

(Bishop, 1983). Kanmegne (2000) reports that in Southern Cameroon on a Ferric

Acrisol soil type, I. edulis grew to 3.7 m in 12 months and by 20 months had reached a height of 7.7 m. The same study coppiced trees to 5 cm from ground level. After 9 months of regrowth, I. edulis produced 26.8 Mg ha-1 of leafy biomass. Alegre (2005) found that I. edulis, grown in association with Centrosema macrocarpum, had

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increased height compared with monocultures of I. edulis. Sobanski and Marques

(2014) in Southern Brazil’s Atlantic Forest associated I. edulis with Urochloa cf. humidicola or Urochloa arrecta on either Cambisol or Greysol soil, and plots were either tilled or untilled. They found soil conditions were the principal predictor of seedling performance. Fisher (1995) found I. edulis increased soil Nitrogen from 3.0 g kg-1 in 1987 to 3.4 g kg-1 by 1992 and extractable Phosphorous from 5.5 mg kg-1 to

7.2 mg kg-1 in the same 7-year period.

Figure 15. Biomass after 11 years (1993 – 2004) in five replications of two treatments, T1 (control) and T6 (interplanted with Inga edulis), in Mg ha-1. Biomass of weeds and Inga was measured in 1 x 3 m subplots within treatment plots and converted to a per hectare basis. Biomass of Terminalia amazonia is the sum of crown foliage and bole wood biomasses of a sample tree for each treatment plot. Crown and bole biomasses were estimated from volumes calculated from diameter and height measurements multiplied by foliage density and wood density, respectively. Once the tree biomass was obtained, biomass was converted to a per hectare basis depending on the number of trees in the plot. Total biomass is the sum of the weed and Inga biomass plus the T. amazonia biomass on a per hectare basis (from Nichols and Carpenter, 2006).

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Nichols and Carpenter (2006) found that Terminalia amazonia showed higher rates of biomass accumulation when interplanted with I. edulis than in a monoculture control in 4 of 5 replicates (Figure 15). ‘Pioneer’ or ‘colonising’ tree species may open up a niche in Brachiaria brizantha pastures which may result in soil moisture, shade and lower levels of soil compaction (Khurana and Singh, 2001; Garen et al.,

2011). Otsamo (1998) found that Anisoptera marginata grew fastest when interplanted with the nurse tree Paraserianthes falcataria on an Imperata cylindrica grassland site in Indonesia. Similarly, the dense shade and ability to suppress weeds may give I. edulis a unique advantage in the pasture environment and simultaneously open a niche for additional biodiversity.

4.2.2 Ceiba pentandra

Ceiba pentandra (L.) Gaertn, also known as the kapok tree, is an anemochorous

Bombacaceae (Wikander, 1984). It is a deciduous broadleaved tree with alternate palmate leaves composed of 5 to 9 leaflets each up to 15 cm long. It is a species known to associate with arbuscular mychorrizae (Iversen et al., 2007). Román-

Dañobeytia et al. (2015) used C. pentandra in a study of rehabilitation of sites degraded by alluvial mining in Madre de Dios. They considered C. pentandra to be a mid successional species as they find they are capable of colonizing open areas but are generally long‐ lived and grow taller than short-lived pioneer species (Román-

Dañobeytia et al., 2012). It is a species that has been reported to grow rapidly

(Richards, 1952 in Condit et al., 1993). Fertilizer application at an experimental site in Kerala, India, was shown to “increase” seedling root collar diameter but have “little effect” on height (Dileep et al., 1994). C. pentandra is a traditionally used forage in

Cambodian goat production. In one feeding trial in Cambodia the inclusion of C.

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pentandra foliage increased live weight gains of goats by 26% over a 32-week period

(Kouch, Preston and Hieak, 2006). In a study by Kongmanila and Ledin (2009) in

Laos, C. pentandra foliage had a condensed tannin (CT) content in the leaves and petioles (as dry matter) of 300 g/kg, and 231 g/kg of dry matter in the stem. When offered to goats, the percentage intake of C. pentandra biomass was 3.8% of the animal’s body weight, which was less (P<0.05) than Artocarpus heterophyllus (4.4%) or Erythrina variegata (4.0%) but more (P<0.05) than Ficus racemosa (3.4%),

Mangifera indica (2.7%) or Ziziphus jujuba Mill (2.5%). Thanu, Kadirvel and

Ayyaluswami (1983) fed C. pentandra seeds to day-old New Hampshire chicks. A control group where no seeds were fed gained 305 g, whereas birds on the raw seed diet gained 243 g and those on seeds that had been oven dried gained 127 g. In

India, C. pentandra seeds were ground and mixed into linseed oilcakes fed to

Kumauni bullocks with no observed adverse effects (Sahai and Kehar, 1968). In

Ghana, Ansah and Nagbila (2011) report farmers use C. pentandra as fodder, and also use the fresh pounded leaves medicinally to expel retained placentas in cattle.

There is a precedent for this species in plantations. Majid et al. (1998) grew C. pentandra in Kampung Pasir, Malaysia, and found that after 23 months trees grown in association with Calopogonium muconoides were significantly taller (380 cm) and had a larger diameter (72 mm) than those grown in association with Centrosema pubescens (height 280 cm / RCD 68 mm) or Puereria phaseoloides (height 220 cm /

RCD 55 cm). At Indira Gandhi Agricultural University, C. pentandra was harvested 9 years after planting at 4 x 4 m, 4 x 6 m and 4 x 8 m. The 4 x 4 m spacing had reached a DBH of 16.56 cm and a height of 8.29 m, the 4 x 6 m had reached a DBH of 16.28 cm and a height of 7.49 m and the 4 x 8 m had reached a DBH of 17.04 and 113

a height of 7.55 m (Gawali et al., 2015). This species was documented by Toledo-

Aceves and Swaine (2007) in the Bobiri Forest Reserve in Ghana to be susceptible to fungal infections. They planted C. pentandra at 0.7 x 0.7 m and after 12 months found that 39% of the C. pentandra seedlings had died. Another mortality rate, reported by d’Oliveira (2000) for saplings planted in primary forest, was 10% after 12 months, which rose to an accumulated mortality of 25% after 24 months, which d’Oliveira (2000) speculated was due to canopy closure.

4.2.3 Erythrina berteroana

Erythrina is a pantropical genus of flowering plants in the family Leguminosae

(subfamily ). Some species are used as living fences and they have gained popularity as a species for alley cropping. They are easily propagated.

Camacho et al. (1993) reports that in Costa Rica, production can be 12-16 Mg ha year-1 with pH of 4.0 and 50% aluminium saturation. Haque et al. (1986) report that

Erythrina are adapted to acid utisols. This is confirmed by a study by Salazar and

Palm (1987) that demonstrated that a species of Erythrina tolerated 75% aluminium saturation.

Muschler et al. (1993) compared E. berteroana Urban, E. fusca Loureiro and

Gliricidia sepium (Jacq.) Steud in Talamanca, southern Costa Rica. E. berteroana was found to have the greatest crown diameter (CDiam 2.18

m), crown depth (CDep 2.43 m) than E. fusca (CDiam 1.52 m, CDep 1.68 m) or G. sepium (CDiam 130 m, CDep 2.65 m). E. berteroana was also reported to produce the most foliar biomass (1100 g) when compared with E. fusca (800 g) or G. sepium

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(500 g). Szott et al. (1991) reported that Erythrina sp. have “excellent biomass production”, coppicing ability and are “well adapted” to acid soils. They report from

Yurimagas, in the northern Peruvian Amazon, that the leaves of Erythrina mineralized 40% of their initial phosphorus and calcium contents and 75% of their magnesium and potassium contents within 4 weeks. After 20 weeks there was 25% or less of initial mineral levels. In the same experiment, after 4 weeks, Inga edulis had 80% remaining of fallen leaf mass, by 20 weeks this had decreased to 70%.

Salazar et al. (1993) found that grain and stover (above ground biomass) of rice production in the first cropping phase was greater under Erythrina sp.(4861 kg ha-1) and Leucaena leucocephala (5289 kg ha-1) than that from Inga edulis (4171 kg ha-1).

By the third cropping phase there were (400 kg ha-1) of weed production in the I. edulis plots, compared to 1200 kg ha-1 in the Erythrina sp. or 1300 kg ha-1 in the L. leucocephala plots. Salazar et al. (1993) speculate that the greater biomass increases in the first crop were due to rapid decomposition of Erythrina sp. and L. leucocephala leaves and rapid transfer of the nutrients to the associated crops, whereas I. edulis decomposed more slowly as evidenced by it’s greater weed suppression, and may therefore have resulted in a delayed nutrient transfer to the associated crops

Standley et al. (1946) describe how in some species of Erythrina, young leaves are cooked and eaten like a vegetable. In Guatemala and El Salvador the young shoots of E. berteroana are popular and their consumption is said to induce a relaxing sleep

(Morton, 1994). Standley et al. (1946) describe how other species of Erythrina have toxic alkaloids in concentrations that enable the use of crushed branches as a fish 115

poison. In seeds the effects of the toxins are reported to be paralysis or death by respiratory failure (Cowan et al., 1982). Leaves have been reported to be eaten by cattle, goats and rabbits without ill effect (Cordero et al., 2003). Payne (1991) found that b –erythroidine from Erythrina leaves were hydrogenated in the rumen of goats and detectable in the milk. The same study found partial genetic control of the alkaloid content.

In Costa Rica, Ibrahim and Mannetje (1998) found that E. berteroana could produce an annual ‘edible’ yield of more than 11 Mg ha–1 dry matter when pruned every four months. Experiments carried out at CATIE field sites in Costa Rica found that a pruning interval of four months maintained the proportion of E. berteroana edible to non edible biomass, and that when planted ‘similarly to sugarcane’ dry matter yields of 16.4 Mg ha-1 were obtained after the first year (Pezo et al., 1990; Kass et al.,

1992). Pezo et al. (1990) suggest that E. berteroana had ‘higher’ nutritional quality than E. fusca or E. costarricenses and that there is the potential for generic improvement of the forage quality of E. berteroana.

4.2.4 Senegalia loretensis

Senegalia loretensis (J.F.Macbr) is synonymous with Acacia loretensis (J.F. Macbr.) and Acacia riparia var. angustifoliola Kuntze. It is a tree in the family

(subfamily ). It is an evergreen tree with oblong unequal and small bipinnate leaflets arranged on a secondary axis. It has scattered prickles. It is native to Bolivia, Brazil North, Brazil Northeast, and Peru. Little literature exists

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with regard to this species. However, the author observed that it is a common tree proximate to the study site and is highly palatable to cattle (Figure 16).

Figure 16. Little is known about Senegalia loretensis, but despite it’s sharp spines the leaves are highly palatable to cattle.

4.2.5 Leucaena leucocephala

Leucaena leucocephala (Lam.) de Wit (leucaena) is a shrub or tree in the

Leguminosae (subfamily Mimosoideae) family. It is native to Central America and is used across the tropics as a multipurpose tree legume. It is long-lived and able to withstand pruning, pollarding, coppicing and direct browsing. L. leucocephala is used as a shade tree for plantation crops, and is also well known for its forage value, despite containing the toxic compound mimosine (Dalzell et al., 2012). L. leucocephala is promoted as a tree of high potential for agroforestry and silvopastoral systems (Mauricio et al., 2019). In 1990, L. leucocephala was estimated to cover 2-5 million hectares worldwide (Brewbaker and Sorensson, 1990). Szott et al. (1991) conducted 6 years of experimental trials in Yurimaguas, Peru, and found 117

that L. leucocephala and its more acid-tolerant relative, L. diversifolia, failed to develop adequately and speculate this may have been due to due to aluminum toxicity.

4.2.6 Brachiaria brizantha

Brachiaria brizantha (Hochst. ex A. Rich.) Stapf. is in the family Poaceae. It is native to Botswana, Cameroon, Côte D'Ivoire, Ethiopia, Ghana, Guinea, Kenya, Malawi,

Mozambique, Namibia, Nigeria, Sierra Leone, South Africa, Tanzania, Uganda,

Zaire, Zambia and Zimbabwe. Brachiaria species were first introduced to South

America during the 18th century when B. mutica was used as bedding on ships.

Subsequently the Food and Agriculture Organization introduced species of

Brachiaria in 1952 (Serrão et al., 1971). B. brizantha became a popular species due to its antibiotic resistance to the spittlebug, which feeds on the xylem of Brachiaria species causing chlorosis and necrosis (CIAT, 1992).

‘Marandú’ (CIAT 6294, BRA000591, CPI 81408, ILCA 16550) is a hairy Kenyan accession that has good spittlebug resistance. An experiment to see which grass would be the most appropriate for a silvopastoral system under a 12 year old rubber plantation in Porto Velho, Rondônia, Brazil recommended B. brizantha cv. Marandú

(Costa et al., 2001). A random block design was employed with three replicates.

Grasses were sown in four rows of 4 m length with a spacing of 0.5 m. Harvest was performed at 12 week intervals in the wet season and 16 week intervals in the dry season. In total six evaluations were realized, four during the rainy season and two in the dry season see Table 3 (Costa et al., 2001)

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.

Table 3. Plant height, soil cover and dry matter yield of forage grasses Brachiaria brizantha cv. Marandú, B. humidicola, Paspalum atratum BRA-9610, P. guenoarum BRA-3824, P. regnelli BRA-0159, P. plicatulum BRA-9661 and Hemarthria altissima established under a 12 year old rubber plantation reproduced from Costa et al. (2001).

At low N inputs, dry matter yields have been higher in shade than in full sunlight

(Dias-Filho and De Carvalho, 2000). Marandú is intolerant to waterlogging and flooding (Beloni et al., 2017; Dias-Filho and De Carvalho, 2000). Many species of

Brachiaria are reported to be allelopathic and the Marandú cultivar has been associated with negative effects on associated Desmodium adscendens, Sida rhombifolia and Vernonia polyanthes (Favaretto et al., 2018; Souza Filho et al.,

1997). Dupas et al. (2010) found that production of B. brizantha cv. Marandú improves with N input and fertilization that resulted in an average production of 24.9

Mg ha-1 in the wet season and 8.1 Mg ha-1 in the dry season. Perondi and Oliveira

(2007) found that the annual production was of 23.7 Mg ha-1 of which 8.5 Mg ha-1 was produced in the dry season and 15.1 Mg ha-1 was produced in the wet season

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4.3 Design and Management of Tree Nursery

A nursery where plants can be grown and monitored is essential prior to the collection of seeds, as often seeds must be planted immediately. For this study, the key elements of the nursery included access to water, control of sun exposure, and an appropriate medium in which to grow the plants. The present site had no existing well and therefore it was necessary to dig a well (Figure 17). It was also necessary to build a structure upon which to house a water tank as this facilitated water pressure with which to water the plants. Plants were watered in the evening due to the high levels of solar irradiation at the site. The plants in this project were to be housed in two separate structures (nurseries) of approximately 10 x 20 m each. Due to the complete site clearance, there was no natural shade. Therefore, a shade nursery netting of 80% was used to shade the plants. In order to erect this hollow galvanized steel poles were cut to size and holes was drilled 2.5 cm from one end of each pole.

To stabilize the pole the hollow base of the pole was then fitted in a coaxial fashion over an iron bar that had been set proud of a concrete base (Figure 17). Further cement was added to fill the hole to ground level. Through the holes in the poles a thick galvanized wire was run around the entire perimeter of each nursery, and tightened (Figure 18). A polystyrene ball was placed on the top of each pole to protect the mesh from tearing on the pole during extreme weather events.

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Figure 17. (Clockwise from left to right) The first attempt at digging the well, the base of the steel poles, which contained a 2.5 cm iron bar, alignment of the steel poles for the nurseries.

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Figure 18. The nursery mesh was elevated upon steel poles above the plants, with enough room to allow air to circulate and to enable easy access for watering the plants.

Finally, the nursery mesh was sewn around the galvanized wire and pulled taught at either end with guide ropes. The beds in which the plants would be accommodated were on the ground, and defined as 1.20 in width and the length of the nursery. The beds were lined with perforated plastic. This was to reduce the likelihood of the plants setting root into the ground, and also to reduce the incidence of weeds growing up into the bags. A more preferable technique is that of growing plants in root trainers off the ground. However, such resources were not available for the current project.

The next task involved preparing the potting medium (Figure 19). Topsoil was harvested from areas of the site outside of the experimental zone that were identified as having preferable topsoil. There was a notable lack of good quality soil at the site, which may be been due to the site history, which was of a cattle pasture and 122

regeneration of secondary forest. The topsoil was very clay heavy and was mixed with sand to decrease the compaction of the bags that occurs with repeated watering. The eventual mix did not include any resources that were not found at the site. This was because this stage was also intended to stimulate how the plants may establish at the site. The use of fertilisers or enriched soils might have had a confounding effect on the experiment. A total of 10,000 bags of soil were filled, with the intention of producing 4,500 plants of five species (Figure 20). As 900 plants of each species were required of the same age and treatment, an excess of 1,100 trees were planted per species for a total of 2,000 per species.

Figure 19. Some prepared soil for filling the bags for the plants.

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Figure 20. View over the nurseries with 10,000 bags of soil. Borders made from trees define the beds. The bags of soil are arranged in rows to give easy access for weeding and watering of the plants. In the background is the water tower that enabled water to the site.

4.4 Treatment and Sowing of Seeds

In September 2016, seed pods of C. pentandra were collected (Figure 21). The seeds were separated from the fiber and soaked in water for 24 hours. Seeds were then placed individually into the bags of soil. Seeds of I. edulis were collected, soaked in a mash of roots from the parent tree for 24 hours, drained and individually placed into bags of soil (Figure 22). Seeds of L. leucocephala were scarified, soaked for 24 hours and individually placed into bags of soil (Figure 23, Figure 24). In

October, seeds of S. loretensis were collected, soaked in water for 24 hours and sown individually into bags of soil (Figure 25). In February 2017, cuttings of E. berteroana were harvested using a machete and cut into 1 m lengths; these were planted directly into the planting lines at a depth of 30-40 cm (Figure 26). With the

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exception of E. berteroana, all trees were grown from seed, kept in 80% shade and watered daily. The moisture in the bags of soil determined the watering regime.

Plants were removed from the shade one month prior to planting and the watering regime reduced.

Figure 21. Seed pods and leaves of C. pentandra.

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Figure 22. I edulis

Figure 23. Seeds of L. leucocephala

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Figure 24. Seedlings of L. leucocephala

Figure 25. Beds of S. loretensis (foreground) and C. pentandra (background). 127

Figure 26. E. berteroana was planted from stakes, pictured here 2 months post planting in association with the immature pasture grass.

5. Planting Design

The present study envisaged a silvopastoral system in which a tree and shrub element would be directly browsed by cattle. Tree and shrub elements can be thought of as ‘vertical’ forage, whereas grasses and ground cover can be described as a as ‘horizontal’ forage. There is competition between proximate plants for water, nutrients and sun. Therefore, it can be conceptualised that the production of foliar biomass and the leaf area of a vertical forage element will reduce the sun exposure of adjacent horizontal forage. To minimise the shading effect of the vertical forage the design of agroforestry may incorporate an east to west planting line, or ‘alley rows’. Species can respond to different planting densities and arrangements by adapting their ratio of wood to leaf production. To optimise production, trees in rows

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should be planted as densely as possible without compromising the production of foliar biomass. The aim is to compensate for the effect of the reduction of horizontal foliage by producing more vertical foliage. Furthermore, if dense initial planting proves problematic this can be amended by management techniques such as thinning, pollarding or the application of fertilisers. The altitude of the sun relative to the site can be considered when designing appropriate planting arrangements. In this study where the aim was to maximise available forage to cattle, allowing the trees to grow taller than the cattle could reach would reduce the light available for the associated grass. If the maximum height of browsing cattle is 2 meters height, then this value of 2 m can be used in conjunction with the altitude angle of the sun at the site to determine the optimum width of the alley row (Leroy et al., 2009; Reid and

Ferguson, 1992). This can be calculated by:

(Equation 1)

Length of shadow = Height of vertical forage Tan(altitude angle of sun)

The above equation can be expanded to include, for example, the light interception of the trees, and the response to shade of the associated horizontal forage element

(Dupraz et al., 2019; Zhang et al., 2019).

At the site in the present study, trees of all species were planted at a spacing of 0.5 x

7.5 m in east to west lines. The planting of 0.5 m in rows was chosen based on the experience of previous authors with I. edulis (Alegre and Rao, 1996; Villachica,

1996; Leblanc et al., 2006). A distance of 7.5 m was left between the three rows of each parcel. A planting arrangement of 0.5 x 7.5 m is 2,667 trees per hectare.

Daylight duration was at a maximum in January and minimum in July (Table 4). The 129

length of a shadow of an object of 2 meters height was at its shortest in November and its longest in July.

Table 4. Data for the first day of each month from a site in Madre de Dios, Peru (lat - 12.53945°, long -69.17288°) in 2016, including the altitude and azimuth of the sun at 12:00, the shadow cast by an object of 2 m height and the daylight duration. Shadow of object at 2 m Daylight First day of Altitude (°) Azimuth (°) height (m) Duration January 78.58 203.47 0.40 12h51m29s February 84.99 207.63 0.18 12h38m52s March 84.21 331.84 0.20 12h20m34s April 72.09 344.03 0.65 11h58m49s May 61.51 346.65 1.09 11h39m49s June 54.81 349.75 1.41 11h26m33s July 54.09 352.38 1.45 11h24m36s August 59.29 352.08 1.19 11h34m43s September 68.55 344.02 0.79 11h52m41s October 77.6 317.07 0.44 12h13m8s November 80.14 257.01 0.35 12h34m3s December 77.61 220.04 0.44 12h49m5s

6. Experimental Design

The experiment used a randomised block design with five replicates. There were six treatments in the experiment, with each treatment associated with a pasture of

Brachiaria brizantha cv. Marandú. The treatments were (1) Leucaena leucocephala,

(2) Inga edulis, (3) Ceiba pentandra, (4) Senegalia loretensis, (5) Erythrina berteroana, (6) Control of Brachiaria brizantha cv. Marandú with no tree association.

Ideally the experiment would have been arranged as a 6 x 5 plot rectangle to minimise edge effects. However, the site area dedicated to the system was 300 x

100 m so the parcel layout was 3 x 10 plots. A moisture gradient was suspected so the site was divided into 5 blocks of 6. Thirty plots of 30 x 30 m (0.09 ha) were installed in January 2017 and randomly allocated between the 6 treatments species

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using the statistics program R (version 3.2.2 for OS X)(Figure 27). Each plot therefore encompassed 180 trees, distributed in three alley rows of 0.5 x 7.5 m, and each row of trees was 30 m long and contained 60 trees. The rows between each replicate were separated by 15 m on the north and south side. The rows were continuous between plots and species (Figure 28). In other words, there was a 0.5 m break between one species and the next in a row (Figure 29). To account for the potential edge effects of this design, the last 5 trees in each row were excluded from subsequent censuses of plant growth.

Figure 27. The randomised replicate plot layout, where EB is Erythrina berteroana, IE is Inga edulis, LL is Leucaena leucocephala, SL is Senegalia loretensis, CP is Ceiba pentandra and C is a control of grass.

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Figure 28. Map of experimental site. 0.09 ha plots as red rectangles, tree rows as black dashed lines. Tree rows were continuous between plots. There were no tree lines on the red lines.

Figure 29. Satellite image of experimental site, 0.09 ha parcels as red rectangles. Image taken in April 2018. Image by Maxar Technologies.

6.1 Planting Sequence

A map of the planting area was made in ArcGIS (ArcGIS Developer V.1.2). Due to the shape of the site it was necessary to stagger the parcels in order to accommodate them. The coordinates of the corners of each of the parcels were then transferred onto a Trimble Geo 7X handheld GPS and the 60 points were located to

1-2 m accuracy. A 100 m tape measure was then used to corroborate the spacing of

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the points. All points were marked plastic tubes that were 4 meters long and buried 1 m into the ground at each point (Figure 30). Using a 30 m tape measure three additional points were located in each parcel at 7.5 m. These 7.5 m points were the planting lines within each plot and these points were marked with wooden stakes. A plastic twine was then held taught between the two stakes and any remaining vegetation was cleared from the planting lines. Small, flat, wooden splints were placed in the ground at 0.5 m increments using a 30 m tape measure on the ground.

Manual post diggers were used to dig holes, aiming to keep the wooden splint in the middle of the hole to be dug. The top 5 cm of soil was returned to the base of each hole at the time of planting.

Figure 30. The plastic tubes used to mark the 30 m intervals of the plot corners and in the background weeds responding to the glyphosphate applied across the site.

Planting of L. leucocephala began on the 20th of January 2017 and was completed on the 26th January 2017 (Figure 31). Planting of I. edulis began on the 1st February 133

2017 and was completed on February 6th 2017 (Figure 32). Planting of C. pentandra began on the 6th February 2017 and finished on the 11th February 2017. Planting of

S. loretensis began on the 11th February 2017 and was completed on the 18th

February 2017. E. berteroana were harvested and planted between the 20th

February 2017 and the 1st March 2017. From April – May 2017 the grass Brachiaria brizantha cv. Marandú was sown by hand from west to east across the entire experiment. Working in pairs, one person would drive a 2 m wooden stake with a pointed end approximately 2.5 cm into the ground at a spacing of 25 x 25 cm. A person would follow behind dropping approximately 0.05 g of seed in each hole. This procedure was followed across all 30 parcels (Figure 33).

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Figure 31.Team planting L. leucocephala in January of 2017.

Figure 32. Planting lines of I. edulis.

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Figure 33. Satellite image from April 2017 with the parcels projected, showing faint tree lines and the establishing grass.

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CHAPTER III

TREE GROWTH IMPACTS ON GRASS AND SOILS IN FIVE MONOSPECIFIC

SILVOPASTORAL SYSTEMS IN AMAZONIA

Abstract

The integration of trees in pastures, known as silvopastoral systems, relies on selection of species that are appropriate for a given site. This study seeks to support the development of silvopastoral systems by critically evaluating the growth of trees and pasture in a Brachiaria brizantha cv. Marandú pasture in the southwestern

Amazon. Leucaena leucocephala, Inga edulis, Erythrina berteroana, Ceiba pentandra, Senegalia loretensis and a no-tree control treatment were planted in monospecific alleys of 0.5 x 7.5 m in five replicates of 0.9 ha random block plots.

Three censuses were carried out at 6-month intervals to evaluate the relative growth rates of tree species to 18 months. I. edulis and L. leucocephala were the tallest species after 18 months (443 cm, P<0.05) and I. edulis had a increased root collar diameter (6.9 cm, P<0.05) and diameter at breast height (3.6 cm, P<0.05) when compared to other species. 1m2 quadrats were used to evaluate the rate of grass regrowth between treatments. Prior to pollarding the grass regrowth in I. edulis plots was 50% less than that of any other treatment. Subsequently, all tree species were pollarded to 2 m at 18 months. Post-pollard, all tree species treatments except C. pentandra had a negative impact on the accumulation of grass biomass when -152-

compared to the control treatment. I. edulis produced more pollard biomass than other tree species (0.75 Mg ha-1year-1, P<0.05). Soil nitrogen, phosphorous and organic matter measured at 18 months showed no effect of treatment. I. edulis, L. leucocephala and E. berteroana are recommended for further investigation at the present site.

1. Introduction

Livestock production currently contributes around 14.5% to total global greenhouse gas emissions and is a leading driver of global land cover change (Hardin, 1968;

Steinfeld et al., 2006; McMichael et al., 2007; Lambin and Meyfroidt, 2011; Gerber,

2013; Grossi et al., 2019). Global meat production is projected increase 15% by

2027 to meet growing demand (OECD‐ FAO, 2018). Rising temperatures are predicted to decrease the forage quality of grasses and this may lead to increased methane outputs, thereby generating a positive feedback effect that could exacerbate climatic change (Lee et al., 2017). The use of livestock production systems that incorporate trees or shrubs, also known as silvopastoral systems, are associated with increased environmental benefits than conventional livestock production (Nepstad et al., 2006; Schiermeier, 2019). The presence of trees in pastures helps maintain soil functioning, hosts biodiversity and is increasingly being recognized as providing an important function in resilience to climate change in rural farming communities (Reed, 2013; Altieri et al., 2015). Silvopastoral systems have been used to implement landscape scale conservation interventions, to increase livestock or timber productivity per hectare of land and have been found to sequester

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more carbon than the traditional grass monoculture approach to livestock production

(Pagiola et al., 2004; Haile et al., 2010; Tonucci et al., 2011; Broom et al., 2013).

In some regions of the Amazon, the current paradigm of livestock production is of a cattle stocking density of less than 1 ha-1 ( Valentim and Andrade, 2009; Bowman et al., 2012; Reis, 2017). Cattle contribute to unequal nutrient deposits and pastures can reach an advanced stage of degradation in ten years (Boddey et al., 2004;

Martínez and Zinck, 2004). Cattle pastures are viewed as the antithesis of the ecosystem services provided by intact forests, yet these degraded pastures represent an excellent opportunity for rehabilitation using silvopastoral systems.

There are a paucity of studies that attempt to explore potential native forages that would be suitable for silvopastoral systems in the Amazon biome (Hohnwald et al.,

2016). To enhance the success of a plantation requires careful selection of the tree species to match the environmental conditions of a potential site (Butterfield, 1995).

In many cases, the forage potential of locally adapted species is unknown and there is a need to identify native trees and shrubs for forage production (Murgueitio et al.,

2011). The pasture environment in the Amazon presents a unique challenge as the environmental conditions include poor, compacted soils with low pH, high levels of exchangeable aluminum, high levels of irradiation and predominantly monocultures of exotic African grasses such as Brachiaria sp. that may have deleterious effects on adjacent vegetation ( Moraes et al., 1996; Loker et al., 1997; Nesper et al., 2015).

Authors have called for the exploration of the agroforestry potential of native species as they may be well adapted to their environment and may be able to increase the -154-

provision of ecosystem services (Butterfield, 1995; Fisher, 1995; Murgueitio et al.,

2011). The present study seeks to test the potential of candidate species for silvopastoral systems in the SW Amazon via a 21-month field experiment in a

Brachiaria brizantha cv. Marandú pasture. This experiment compares the establishment success and growth of five tree species and their impact on the production of pasture grass and soil chemical parameters nitrogen (N), phosphorous

(P) and organic matter (OM). It is hypothesized that:

(a) I. edulis will demonstrate the fastest relative growth rate

(b) L. leucocephala will demonstrate the highest mortality rate

(c) The presence of trees will positively effect soil N and OM and negatively effect

soil P.

(d) I. edulis will produce the greatest quantity of biomass when harvested by a

pollard > 2 m.

(e) The rate of grass growth will be negatively influenced by the presence of all

tree species.

2. Methods

A detailed description of experimental design and planting arrangement for this experiment can be found in Chapter II and briefly described here. The experiment used a randomised block design with five replicates. There were six treatments in the experiment, with each treatment involving a pasture dominated by Brachiaria brizantha cv. Marandú. The treatments were (1) Leucaena leucocephala, (2) Inga edulis, (3) Ceiba pentandra, (4) Senegalia loretensis, (5) Erythrina berteroana, (6)

Control of Brachiaria brizantha cv. Marandú with no tree association. These

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treatments were randomly allocated between thirty plots of 30 x 30 m (0.09 ha). Tree treatments were planted in three rows of 0.5 x 7.5 m. There were a total of 180 trees per plot.

2.1. Censuses of Tree Growth

All trees were individually labelled. The first census of plant growth was carried out immediately after the trees had been planted in March 2017, and represents the initial conditions (C1). The census was subsequently repeated in August 2017 (C2),

March 2018 (C3) and August 2018 (C4), for a total of three, six-month intervals of plant growth between the censuses (Table 5). A 2.5 m strip around each plot was excluded from all censuses to reduce edge effects. All trees were monitored during the first census in March 2017 and the last census in August 2018. During the census of August 2017 and March 2018, only the 63 trees in the centre of each plot were monitored (21 from each of the three rows). Fewer trees were monitored during the August 2017 and March 2018 census due to a lack of resources.

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Table 5. Plant growth census dates.

Months Interval post- between Census Year Month planting census C1 2017 March 0 - C2 2017 August 6 6 C3 2018 March 12 6 C4 2018 August 18 6

Measurements were taken with a digital Vernier calliper and a 5 m measuring tape.

The following measurements were taken: height from ground to apical meristem of tallest branch (height, measured in cm), root collar diameter (RCD, measured in mm) and diameter at 130 cm from the ground (DBH, measured in mm). The tree was reported as ‘alive’ (i.e. healthy), ‘regrowth’ or ‘dying’. The regrowth category was employed when the majority (50-100% of the branch and stem material) of the tree had died and then had begun to regrow. Trees in the regrowth or dying category were excluded from subsequent analysis. The cause of tree mortality was reported if known. A replicate of I. edulis was excluded from the analysis due to heavy and persistent flooding of the plot at the time of experimental establishment. A replicate of C. pentandra was also excluded from the analysis due to frequent and complete defoliation by leafcutter ants.

Statistical Analysis

An annual mean relative growth rate was calculated for each census interval to facilitate comparison between species according to South (1995):

(Equation 2)

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MRGR = (ln(X)2 – ln(X)1)/(t2 – t1)

where X1 and X2 is the size at the beginning t1 and end t2 of the census interval.

Annual mortality (λ) was calculated for each census according to equation 7 in Shiel et al. (1995):

(Equation 3)

λ = (logeN0 – logeN1)/t

Where N0 is the population count at the beginning of a census and N1 is the population count at the end of the census and t is the measurement interval.

Statistical analysis of growth rates of trees excluded trees that had been placed into the regrowth or dying categories. All analyses were carried out using the program R

(3.2.2). Shapiro-Wilk tests were used to test the normality of the distribution of all continuous measurement variables (height, RCD, and DBH). For each census, a one-way ANOVA was used to test for differences between each of the measurements and differences between species (categorical). A Tukey’s Honest

Significant Differences test was used post-hoc to compare the differences between mean measurements for all species in each census.

2.2. Soil Chemical Analysis

The three tree species that had exhibited the lowest mortality to the time of January

2019 were I. edulis, E. berteroana and L. leucocephala. These species were therefore chosen as the most likely to have had an effect on the soil chemistry. Soil chemical analysis was carried out on a total of 16 plots composed of four plots of the

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control treatment of no trees and four plots of each tree treatment. Total nitrogen (N), phosphorous (P) and organic matter (OM) samples were taken from 0-10 cm of the soil. Total N, P and soil organic matter were available at the laboratory and due to limited resources these were chosen as priorities, as the nitrogen fixing species may increase N, P was expected to decrease under plantation conditions and OM to increase as a result of input via litterfall. However, due to unforeseen conditions the samples were taken sooner than originally envisaged (samples were taken in

January 2019, at 24 months post establishment of the experiment, but had originally been planned for 31 months). For the 20 samples that were taken from within the tree line the sample was taken from between adjacent two trees (0.25 m from the base of the two neighboring trees). The samples were mixed and three subsamples were taken. The same procedure was used between the rows of trees where samples were taken at a distance of 3.75 m from the tree line. Samples were sent for analysis in the Laboratorio de Analysis de Suelos de la facultad de Agronomia of the

La Molina University in Lima.

Statistical Analysis

The response variables of N, P and OM were tested for normality using Shapiro-Wilk test. Differences in N, P, and OM (continuous) between treatments (categorical) were tested by an ANOVA. To test for an effect of distance from the tree line on N, P and OM, ANOVAs were run for each tree species with the distance from the tree line

(1 m or 3.75 m) as a categorical predictor variable.

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2.3 Pollard Treatment

Trees of all species were pollarded at 18 months post planting, immediately following the fourth census of plant growth. This was due to the observation that the grass production near the base of some species of trees was being negatively effected, presumably by the competition for light. In order to reduce competition all trees were pollarded to 2 m. The pollarded biomass of approximately 20 trees per replicate was collected and weighed. After each sampling event, three subsamples were taken from a composite of plant material from each species. Subsamples were air dried for

48 hours then oven dried at 65 °C until a constant dry weight was reached. All harvested plant material was removed from the experimental site. Differences in the amount of pollarded biomass harvested (continuous variable) were tested between treatments (categorical variable) using an ANOVA.

2.4. Effects of Trees on Rates of Pasture Regrowth

Quadrats (1 m2) were situated at random either at 1-2 m or 3.25-3.75 m from the middle row (of three rows of trees within each parcel) within each plot and no less than 7.5 m from the plot edge to reduce edge effects. The distances of 1-2 m or

3.25-3.75 m were chosen to test for the effect of the proximity of trees on the grass.

The quadrats were located at random in control parcels with no trees. Prior to the pollarding of all trees to 2 m the rate of pasture regrowth was monitored for a 30-day period in the first week of July 2018. In all plots, the grass in the eight quadrats was cut to 10 cm before and after a 30-day period. The accumulated biomass was weighed fresh, air-dried for 48 hours then oven dried at 65 °C until a constant dry weight was reached.

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To test an effect of pollarding on grass production, the clipped parcels were left to regrow for six months until the first week of January 2019, when the accumulated biomass was clipped to 10 cm and weighed. All biomass was weighed fresh, air- dried for 48 hours then oven dried at 65 °C until a constant dry weight was reached.

Statistical Analysis

The two monitoring periods of grass biomass were treated separately. The dry weight of the grass was inspected for outliers and normality using density and scatter plots. The Shapiro-Wilk test suggested that the dry weights of the grass biomass were normally distributed. One-way ANOVAs were used to test for the effect of the categorical predictor variable treatment on the continuous response of grass dry weight. Where significant effects were found, these were explored with the post-hoc analysis Tukey’s Honest Significant Differences test. The effect on grass dry weight of distance from the tree line was tested within treatments by following the same procedure.

3. Results

After 18 months, I. edulis and L. leucocephala were the tallest species and both reaching similar mean heights, for I. edulis this was 442.8 ± 103.5 (S.D.) and for L leucocephala this was 443.1 ± 111 (S.D.) (Table 6). When compared to that of L. leucocephala, I. edulis had a diameter at breast height (DBH) that was 44% increased in size and a root collar diameter (RCD) that was 20% increased in size

(Table 6). I. edulis, L. leucocephala, and E. berteroana were the three of the five

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species that consistently showed growth in all parameters over the 18 months of the experiment (Table 6). All species demonstrated the highest growth rates in 6 months following planting followed by a decline in the growth rate with the exception of E. berteroana. E. berteroana showed the slowest relative growth rate of height (0.8) and RCD (0.2) between the first and second census, and subsequently was the only species to demonstrate increased growth in the interval between the second and third census (Figure 34, Figure 35, Figure 36). Between the first and second census,

C. pentandra showed the greatest increase in RCD (324%) followed by A. loretenesis (266%) (Figure 37). Between the third and fourth census these species had the lowest increase of any species (1 and 2% respectively). In the same inter- census interval C. pentandra and A. loretenesis displayed a decline in average height as a result of dieback, but not a decline in average RCD or DBH (Figure 36,

Figure 37, Figure 38). Pictures of the plantation give an idea of the scale and layout of the experiment (Figures 39-42).

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Table 6. Height (cm), root collar diameter (RCD mm), and diameter at breast height (DBH mm) of five tree species in a Brachiaria brizantha cv. Marandú pasture, with census number (C), time after planting in months (t), mean average (Mean) standard deviation (S.D.), annual relative growth rate (RGR), n as number of individuals sampled and λ as annual mortality (Shiel et al., 1995). Means sharing the same superscript are not significantly different from each other within a census interval (Tukey's HSD, P<0.05)

Height (cm) RCD (mm) DBH (mm) Species C t λ Mean S.D. RGR n Mean S.D. RGR n Mean S.D. RGR n S. loretensis 1 1 73.3c 23.5 715 6.9c 2.2 715 0 b a d 2 6 197.9 59 2 261 25.0 7.6 2.6 262 9.9 4 222 0.008 c a d 3 12 239.4 86.4 0.4 189 31.5 9.8 0.5 189 13.4 5.2 0.6 170 0.089 c d d 4 18 113.6 114 -1.5 371 32.0 10.4 0 372 14.8 7 0.2 137 0.601 C. pentandra 1 1 77.5b 16.4 709 10.9a 2.8 709 0 b c c 2 6 202.9 30.4 1.9 252 46.1 8 2.9 252 19.2 6.7 247 0 c c a 3 12 227.7 41.7 0.2 252 53.2 13.3 0.3 252 22.5 9.9 0.3 250 0 b c a 4 18 209.1 67.1 -0.2 619 53.0 13.8 0 619 23.7 10 0.1 540 0.549 E. berteroana 1 1 69.0d 5.9 891 36.4d 14.8 872 0 2 6 101.1c 25 0.8 258 40.9d 16 0.2 258 10.0bd 1.9 36 0.274 3 12 202.4d 73 1.4 263 50.1c 16.7 0.4 262 19.7b 7.9 1.4 209 0.244 4 18 224.7d 87.6 0.2 509 59.2e 20.2 0.3 510 23.1b 9.5 0.3 413 0.48 I. edulis 1 1 79.3b 17.2 699 10.1b 2.7 700 0.025 2 6 194.3b 41.7 1.8 254 30.2b 8.3 2.2 254 11.2b 3.3 240 0.05 3 12 373.3b 68.2 1.3 230 57.7b 17.7 1.3 231 30.2c 9 2 230 0.148 4 18 442.8a 103.5 0.3 553 68.9b 22.2 0.4 553 36.2c 13.1 0.4 551 0.205 L. leucocephala 1 1 112.0a 25 887 8.4a 2.2 887 0 2 6 281.4a 64.3 1.8 429 24.5a 6.1 2.1 429 13.3a 5 424 0.005 3 12 409.7a 103 0.8 225 34.4a 11.1 0.7 226 20.7ab 6.8 0.9 222 0.079 4 18 443.1a 111 0.2 483 44.3a 18.4 0.5 507 23.1ab 8.7 0.2 503 0.281

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3

2

1

0 C2 C3 C4

-1 Relative Growth RateHeight of Relative

-2 Census S. loretensis C. pentandra E. berteroana I. edulis Figure 34. Relative growth rate for changes in height of five tree species after planting at six (C2), twelve (C3) and eighteen (C4) month intervals post-planting for tree species Leucaena leucocephala, Senegalia loretensis, Inga edulis, Ceiba pentandra and Erythrina berteroana.

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3

2

1 Relative Growth RateRCD of Relative 0 C2 C3 C4 Census L. leucocephala S. loretensis C. pentandra E. berteroana I. edulis Figure 35. Relative growth rate for changes in root collar diameter (RCD) and of five tree species at between planting and six (C2), twelve (C3) and eighteen (C4) month intervals post-planting for tree species Leucaena leucocephala, Senegalia loretensis, Inga edulis, Ceiba pentandra and Erythrina berteroana

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Figure 36. Height (cm) and standard deviation of five tree species growing in a Brachiaria brizantha cv. Marandú pasture as of census 1. March 2017, 2. July 2017, 3. March 2018 and 4. July 2018.

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Figure 37. RCD (mm) and standard deviation of five tree species growing in a Brachiaria brizantha cv. Marandú pasture as of census 1. March 2017, 2. July 2017, 3. March 2018 and 4. July 2018.

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Figure 38. DBH (mm) of five tree species growing in a Brachiaria brizantha cv. Marandú pasture as of census 2. July 2017, 3. March 2018 and 4. July 2018.

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Figure 39. Rows of I. edulis

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Figure 40. Row of Ceiba pentandra

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Figure 41. Replicate of Senegalia loretensis

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Figure 42. Leucaena leucocephala in March 2017 (above) and October 2017 (below)

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100% % catetgory % of

0% E. berteroana I. edulis S. loretensis L. C. pentandra leucocephala

Alive Regrowth Dead

Figure 43. Proportion of alive, dead and trees classified as regrowth of five tree species in a Brachiaria brizantha cv. Marandú pasture in the SE Amazon 18 months after planting at 0.5 x 7.5 m

After 18 months, I. edulis was the species with the least number of individuals placed in the regrowth category (Figure 43). C. pentandra had the lowest rate of mortality.

There was considerable damage to all species by rodents and in many cases this contributed to the mortality of the trees. The rodents stripped away the outer cambium in a ring around the bottom of the plant, restricting the plant’s access to water. Where this occurred, the species would attempt to regrow from the base.

C. pentandra reached a maximum average height of 228 cm after 12 months and subsequently declined in height between 12 to 18 months as a result of dieback. By 173

the fourth census, it was observed that the majority of C. pentandra had dropped their leaves and dieback had occurred from the apical meristem towards the ground.

When C. pentandra is healthy it exhibits a green trunk, yet by the fourth census, the trees exhibited a brown or black dieback, followed by a vivid red then yellow discolouration. This phenomenon was seen in all replicates of C. pentandra. There were no visible above ground pests and no common leaf discolouration. There was no local plant pathologist to consult. One replicate of C. pentandra had been excluded at the start of the experiment due to repeated total defoliation by ants of the genus Atta that resulted in the mortality of all trees in the plot. S. loretensis survived well until the 12 month census, at which point the trees began to die. It was observed that S. loretensis demonstrated increased height and survival when adjacent to I. edulis.

When the levels of harvested tree biomass were compared, I. edulis produced 1.1

Mg ha-1 of biomass (Figure 44). This was significantly more than L. leucocephala

(0.7 Mg ha-1, P<0.05), and more than double the biomass production of E. berteroana, C. pentandra or S. loretensis. It was observed at I. edulis produced substantial foliar and woody biomass, whereas the majority of L. leucocephala biomass was woody.

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Figure 44. Mean dry weight biomass and standard deviation (S.D.) of pollarded biomass (over 2 m) of 18-month-old trees 0.5 x 7.5 m planting design (2667 trees ha-1) for individual trees, sample size represented in parenthesis. Means sharing the same superscript are not significantly different from each other (Tukey's HSD, P<0.05)

Prior to the pollarding event the rate of grass regrowth was measured for 30 days. I. edulis was found to be the only treatment that negatively impacted the rate of grass regrowth (Figure 45, P<0.01). Grass regrowth in the I. edulis treatment showed less than half the growth of any other treatment. There was no effect of the distance from the tree line on the rate of grass regrowth in any species. Six months following the following the pollard the grass regrowth was reassessed. The control treatment (no trees) and C. pentandra had the greatest accumulation of grass biomass of all the tree treatments (Figure 46). No effect of distance from the tree line was found for any of the treatments.

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Figure 45. Mean total dry matter biomass accumulation (Mg ha-1 year-1) and standard deviation (S.D.) of 30-day regrowth of Brachiaria brizantha cv. Marandú collected from different treatments, sample size represented in parenthesis. Means sharing the same superscript are not significantly different from each other (Tukey's HSD, P<0.05)

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Figure 46. Mean total dry matter biomass accumulation (Mg ha-1 year-1) and standard deviation (S.D.) of six months regrowth of Brachiaria brizantha cv. Marandú following the pollarding of associated tree species to 2 m, sample size represented in parenthesis. Means sharing the same superscript are not significantly different from each other (Tukey's HSD, P<0.05)

There was no effect of treatment on the soil chemical parameters nitrogen (N), phosphorous (P) or organic matter (OM). There was no effect of the distance from the tree line on N, P or OM for E. berteroana, I. edulis or L. leucocephala.

4. Discussion

Trees and grass compete for nutrients, light, and water. In this experiment, all planted trees were competing with a pasture grass, Brachiaria brizantha cv. Marandu for resources. Inga edulis was the species of tree that was expected to perform well in the pasture environment and therefore it was hypothesised that I. edulis would

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have the fastest relative growth rate. I. edulis produces a high proportion of foliar to total biomass. The foliage of I. edulis has the highest leaf area and light interception of the tree species in this experiment. In a B. brizantha pasture environment this adaptation favours I. edulis, as the Brachiaria genus is averse to shade and therefore the ability of a tree to generate enough shade to protect its roots from competition with B. brizantha could be strategically important to the practice of pasture reclamation. B. brizantha is highly invasive and can spread and rapidly dominate landscapes. Multiple studies report that pasture grasses have a negative effect on growth and survival of trees in pastures (Ferguson et al., 2003; Hooper et al., 2002; Hooper et al., 2005). African grasses of the Brachiaria genus contain phytotoxic substances that produce an allelopathic effect that inhibits the growth of adjacent plants (Kobayashi and Kato-Noguchi, 2015; Sesto Cabral et al., 2011;

Pivello et al., 1999; Ganade and Brown, 2002).

It is possible that I. edulis was able to avoid the effect of the allelopathic chemicals in the B. brizantha grass by shading out the proximate grasses and opening up a niche within the grass. ‘Pioneer’ or ‘colonising’ tree species open a niche which in a silvopastoral system may include relief from the grass, increased shade, increased soil moisture and decreased soil compaction (Khurana and Singh, 2001; Garen et al., 2011). Otsamo (1998) found that Anisoptera marginata grew fastest using the nurse tree Paraserianthes falcataria on an Imperata cylindrica grassland site in

Indonesia. Similarly, the dense shade and ability to suppress weeds may give I. edulis a unique advantage in the pasture environment and simultaneously open a niche for additional biodiversity. Nichols and Carpenter (2006) found that Terminalia amazonia showed improved growth when interplanted with I. edulis. A positive effect 178

of adjacent I.edulis was observed on the survival of S. loretensis. However, the present study only contained three incidences where rows of S. loretensis and I. edulis were adjacent, so it was not possible to quantify this interaction. However, this observation highlights the importance of accounting for edge effects of adjacent treatments in sampling design. A future study could attempt to thin an existing I. edulis plantation to introduce potential tree or shrub species such as C. pentandra and S. loretensis that may benefit from being interplanted with I. edulis.

Prior to the pollard, I. edulis was the most effective tree species at inhibiting the growth of the grass. However, the pollard reduced this species’ total leaf area and subsequently I. edulis was only as effective than any other tree species at controlling the production of grass biomass. In this experiment, the trees were pollarded as a strategy to optimise the production of available tree foliage as fodder for cattle.

However, the results suggest that an important ecosystem function of I. edulis in pasture reclamation is the creation of a niche via the production of shade. Further work is needed to understand the interaction between the optimal proportion of trees that can be pollarded for potential forage resources, and the optimal proportion of trees that should be left without the pollard for the production of shade and subsequent control of the B. brizantha grass.

In the present study the aim was to maximise the production of biomass for cattle production. By 12 months all species were over 2 m tall and therefore beyond the reach of cattle. Pollarding is therefore a useful management strategy for managers as removal of biomass above a certain point has the dual benefit that it can be used to increase the availability of biomass by bringing forage into the reach of animals, 179

and it can also reduce the light competition by the trees on adjacent plants. Some evidence exists to indicate which species can survive pruning and pollarding, but there are also species that cannot (Lang et al., 2015; Muschler et al., 1993; Garcia et al., 2001). Care must be taken when choosing the best management approach for each species. Separating the foliar and the branch biomass at the 18-month pollard harvest would have improved the experiment, as it is the foliar biomass that is of interest. In future studies, it would be of interest to measure the survival and regrowth of trees following pollarding. This was beyond the scope of the present study.

The failure of C. pentandra and S. loretensis to survive in the experiment was due to an unknown cause. It is speculated the cause may have been a plant pathogen or the decline may have resulted from competition with the pasture grass. It was hypothesised that Leucaena leucocephala would have the greatest mortality rate of any of the tree species, but this was not the case. This hypothesis was chosen because L. leucocephala was reported to have failed to establish in a previous trial in the Amazon, believed to be due to a negative effect of acidic soils and high levels of exchangeable aluminium on this species (Salazar et al., 1993). However, L. leucocephala has been observed to occur as a weed in the urban areas of the

Peruvian jungle cities of Puerto Maldonado and Pucallpa (personal observation). L. leucocephala is a widely used forage tree in silvopastoral systems in tropical regions.

In this experiment, the decision to include L. leucocephala was taken because it is a species that has existing reports of growth and biomass production and therefore it was considered appropriate to use as a reference species by which the native species could be compared. Yet it is also recognised as an invasive species that can 180

quickly colonise a site to the exclusion of native species. Managers of natural systems may choose different priorities for the landscapes they devise. This study considers the business as usual scenario in the region where cattle are produced in association with invasive grass. The objective was to increase the agricultural productivity and flow of ecosystem services from an already modified agricultural landscape. While native species may be preferable, at the outset of this study it was not known which species would be able to survive in the pasture environment, or if any species would be able to naturally regenerate within the pasture environment.

The potential for natural regeneration of these species within pastures is an area for future research, and of particular interest where there is a risk of invasion by L. leucocephala. The growth and biomass production of L. leucocephala has been shown to be effected by provenance (Prasad et al., 2011). A limitation of the present study is it only considers a single provenance of any of the species.

It was hypothesised that the trees would positively effect soil nitrogen (N) and soil organic matter (OM) and negatively effect soil phosphorous (P). This experiment had limited resources and therefore it is not possible to prove or disprove this hypothesis.

There was no effect detected either between treatments or at the two distances from the tree line for any of the soil chemical parameters considered. While no treatment effect was detected, it is possible that there was a treatment effect that was not detected in the present sampling regime, or that it is too soon to see measurable effect. Therefore, the results should be treated with caution. It was not possible in this study to conduct soil chemical analysis prior to the establishment of the experiment. However, where resources permit this is a useful exercise. This experiment was designed to contain five replications of each treatment with the 181

intention of minimising any differences across the site, such as soil chemistry, soil moisture or soil compaction. Szott and Palm (1996) found that soil phosphorous decreased following establishment of I. edulis due to the uptake of phosphorous in the living biomass. They theorised that the phosphorous would eventually return to the soil via leaf litter. Fisher (1995) found I. edulis increased soil nitrogen and extractable phosphorous after 7 years. However, if the objective is production for forage then the continuous removal of foliar biomass for fodder may result in the exportation of nutrients held within the biomass that is removed. This could result in a net loss of nutrients over time.

It was hypothesised that I. edulis would produce the greatest quantity of biomass when harvested by a pollard that removed all biomass over 2 m height from the ground. The findings of this study support this hypothesis. While this is a seminal result for this management approach, biomass production is closely related to growth parameters. It is possible to contextualise these findings by reviewing the results of other studies that have experimentally grown I. edulis. I. edulis individuals in this study were taller and thinner at breast height (DBH) than in Alegre’s (2005) plantation in Yurimaguas, Peru. Alegre (2005) planted I. edulis at 4,444 trees ha-1 in a 1.5 m by 1.5 m arrangement, as both a monoculture and also grown in association with Centrosema macrocarpum. After the first year, the trees that had been grown as a monoculture treatment reached a height of 2.5 m and a DBH of 4.4 cm. When I. edulis was grown with C. macrocarpum, the height in the first year was 3.0 m and the DBH 3.8 cm. The present study is not directly comparable with other studies due to differences in planting arrangements that could be responsible for differences in the tree morphology. The growth of I. edulis in the present study is in the same range 182

of that reported by Kanmegne (2000) in Southern Cameroon on a Ferric Acrisol soil type. Kanmegne (2000) planted I. edulis at 3,333 trees ha-1, in 3 x 1 m rows. I. edulis grew to 3.7 m in 12 months and by 20 months had reached a height of 7.7 m

(Kanmegne, 2000). Tilki and Fisher (1998) planted I. edulis at 1,111 trees ha-1 in a 3 x 3 m arrangement in three sites in Sarapiqui, Costa Rica. After three years, I. edulis displayed an average DBH of 10.5 cm. Shimamoto et al. (2014) measured the growth of naturally regenerating I. edulis in the Parana State in Southern Brazil. By the age of 18 – 41 years they report that the average DBH of I. edulis was 24.4 cm

(± 11 SD) and an average height of 16.2 m (± 4 SD). These varied results show that

I. edulis is a species with fast growth in a number of different plantation trials.

The limitations of this experiment include the short time frame, a monospecific planting arrangement of the five species may have favoured or prejudiced certain species, and that only pollarded tree biomass was reported when a measure of total tree biomass would have enabled a comparison of whether tree and grass arrangements are more productive than grass only arrangements. It may also be of interest to experiment with the addition of fertiliser, changing the associated grass or tree species, and attempting the experiment in a location with a different set of edaphic and climatic conditions. Future studies may also consider the reproduction and establishment success for all species from seed in the invasive and allelopathic

Brachiaria brizantha cv. Marandú or how establishment is effected by exposure to browsing. Further work would be required to understand the additional benefits of silvopastoral systems, in particular, marketable benefits that could be used to promote their uptake, such as the potential for carbon sequestration.

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In the present study the aim was to maximise the production of biomass for cattle production. By 12 months all species were over 2 m tall and therefore beyond the reach of cattle. Pollarding is therefore a useful management strategy for managers as removal of biomass above a certain point has the dual benefit that it can be used to increase the availability of biomass by bringing forage into the reach of animals, and it can also reduce the light competition by the trees on adjacent plants. Some evidence exists to indicate which species can survive pruning and pollarding, but there are also species that cannot (Lang et al., 2015; Muschler et al., 1993; Garcia et al., 2001). Care must be taken when choosing the best management approach for each species. Separating the foliar and the branch biomass at the 18-month pollard harvest would have improved the experiment, as it was the foliar biomass that was of interest. In future studies, it would be of interest to measure the survival and regrowth of trees following pollarding. This was beyond the scope of the present study.

Inga edulis, Leucaena leucocephala and Erythrina berteroana were the three species that may be recommended as species for further assessment of their silvopastoral potential at the study site. C. pentandra and S. loretensis may be suitable candidates for silvopastoral systems but their relatively higher levels of mortality shown in this study suggest they are species that are not well adapted to the conditions of this study site. If the pasture grass inhibits the development of tree species then planting dense lines of I. edulis and subsequent thinning may create a niche in which other trees and shrubs can be planted. The limitations of this experiment include the short time frame, a monospecific planting arrangement of the five species may have favoured or prejudiced certain species, and that only 184

pollarded tree biomass was reported when a measure of total tree biomass would have enabled a comparison of whether tree and grass arrangements are more productive than grass only arrangements. It may also be of interest to experiment by changes to the associated grass or tree species, and attempting the experiment in a location with a different set of edaphic and climatic conditions. Future studies may also consider the reproduction and establishment success for all species from seed in the invasive and allelopathic Brachiaria brizantha cv. Marandú or how establishment is effected by exposure to browsing. Further work would be required to understand the additional benefits of silvopastoral systems, in particular, marketable benefits that could be used to promote their uptake, such as the potential for carbon sequestration.

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CHAPTER IV

ALLOMETRY AND PRODUCTION OF THREE

MONOSPECIFIC SILVOPASTORAL SYSTEMS IN AMAZONIA

Abstract

The integration of trees could increase biomass production and carbon sequestration in the cattle pastures of the Amazon rainforest. This paper evaluates the biomass production at 24 months of three silvopastoral systems following a pollarding event at 18 months. This study measured the root collar diameter, stump diameter, diameter at breast height, height, crown volume, and crown diameter to predict the biomass of total, trunk, branch and foliage components. Species and component specific allometric equations were developed by comparison of linear, quadratic and log-linear models using Furnival’s Index. Log-linear models were found to be superior to linear or quadratic models for the prediction of biomass components in all species. The results showed that a single parameter model of RCD was the best predictor of all biomass components of Inga edulis, whereas for Erythrina berteroana and Leucaena leucocephala a multiple model of RCD and height improved the predictive measurements of total and trunk biomass. There was reliable prediction of total biomass for I. edulis (R2= 0.70), E. berteroana (R2= 0.77) and L. leucocephala

(R2= 0.86). After 24 months, I. edulis had accumulated the most biomass (7.2 Mg ha-

1) when compared to E. berteroana (4.4 Mg ha-1) or L. leucocephala (4.3 Mg ha-1).

The predicted carbon sequestration of these species was greatest for I. edulis (3.4 193

Mg ha-1) when compared to E. berteroana (2.1 Mg ha-1) or L. leucocephala (2.0 Mg ha-1). Silvopastoral systems have the potential to increase the carbon sequestration of pastures in the Amazon rainforest.

1. Introduction

Livestock production is a major driver of global land cover change (Steinfeld et al.,

2006). The pasturelands once occupied by Amazon Rainforest are typically unsustainable, and pasture degradation may occur within 10 years (Martínez and

Zinck, 2004). There is a need to develop a new paradigm that can reverse this trend and enhance the provision of ecosystem services from these agricultural landscapes

(Serrão et al., 1996). It has been shown that silvopastoral systems, the inclusion of trees and shrubs into pastures, can result in increased livestock production and also be instrumental in landscape level sustainability (Mauricio et al., 2019). However, during the establishment phase of silvopastoral systems, cattle may be detrimental to the establishment of plants and for that reason may need to be excluded from young plantations (Smit et al., 2015). Therefore, farmers that wish to transform their land to silvopastoral systems may experience the cost of a temporary loss of land.

Farmers could be compensated for this short-term loss of land and receive payments for the conversion of land to silvopastoral systems under schemes known as payments for ecosystem services (Pagiola et al., 2007). Such schemes rely on an understanding of the costs and benefits of providing an ecosystem service (Claassen et al., 2008; Tzilivakis et al., 2019).

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Sharrow and Ismail (2004) hypothesised that as pastures store the majority of their carbon (C) below ground in soil organic matter whereas forests store the majority of their C above ground that silvopasture should accumulate more C via increased biomass production and considerable below and above ground C sequestration.

They found that after 11 years, silvopasture accumulated more C than forest (0.74

Mg ha-1 year-1) or pasture (0.52 ha-1 year-1). C sequestration per hectare is a measurable ecosystem service for which several markets exist, and payments to farmers for sequestered C may incentivise them to integrate trees into their pastures

(Corbera et al., 2009; Hissa et al., 2019; Blum and Lövbrand, 2019).

The International Panel on Climate Change produced guidelines in 2003 for the estimation of C stocks via allometric equations (Penman et al., 2003). These were intended for the measurement of C for trade mechanisms that arose from the Kyoto protocol (for example, Reduced Emissions from Deforestation and Degradation).

Allometric equations seek to determine the potential of one measured variable to predict another variable. A critical application of this theory is that of quantifying the volume of tree biomass to predict C stock. For example, the diameter of a tree can be used to predict the total biomass of that tree. A benefit of allometric equations is that if a strong relationship can be quantified, usually via the destructive measurement of a subsample of trees, the equation can be used to quantify the biomass of other trees that do not have to be destroyed. Allometric relationships are governed by site-specific conditions and management impacts. The coarse resolution studies that attempt large scale estimates of C stocks can result in high levels of uncertainty (Chave et al., 2014). Site and species-specific models demonstrate improved accuracy but are of limited transferability. For example, 195

Huang et al. (2000) found that, when applied to alternative ecoregions from the one in which they were developed, height-diameter models of white spruce Picea glauca (Moench) Voss resulted in maximum overestimations of 29% and underestimations of 22%.

The relationship between variables of tree growth can take many forms. The most common models in the literature are the power model and the polynomial model

(Picard et al., 2018). When a power relationship is suspected a widely used practice in the literature is the use of the natural log transformation on the predictor and response variable data to achieve a linear fit (Kitteredge, 1944; Mascaro et al.,

2014). This relationship can then be described using an ordinary least squares linear regression and then back-transformed to the arithmetic scale using a conversion factor (e.g. Marklund, 1987).

While the power function occurs frequently in the field of tree allometry, the predominance of authors following this approach, with little regard for alternative methods, has been criticised as failing to detect the most appropriate model for the distribution of the data (Packard, 2017a; Packard, 2017b). Equations can include multiple variables but care should be taken that separate variables are not highly correlated, as this can result in multicollinearity which is known to have a confounding effect on the model (Sileshi, 2014). Similarly, high order polynomials begin to result in over-fitting of the model that can result in biologically implausible models. Sileshi (2014) consider that for each additional predictor the sample size should be doubled, and noted that ordinary least squares regression can be useful when few non-collinear predictors are used that have a well-understood relationship 196

to the response variable. Ultimately, the error distribution will determine which method performs best and therefore a model cannot be selected a priori (Packard,

2014; Xiao et al., 2011; Sileshi, 2014; Mascaro et al., 2014).

Xiao et al. (2011) demonstrated that ordinary least squares linear regression was a suitable approach for characterising data with multiplicative, heteroscedastic, lognormal error, whereas data with additive, homoscedastic, normal error was better suited to non-linear regression approaches. To determine the appropriate error structure, biological reasoning or likelihood analysis by comparing the Akaike

Information Criteria (AIC) or the coefficient of determination r-squared (R2) is commonly used (Akaike, 1974; Xiao et al., 2011). However, AIC and R2 are not appropriate to compare between models where different transformations have been applied to the data. In such instances, interpretation of the model residuals can be used in to determine the most appropriate modelling approach. The Furnival’s Index

(1961) is a method that can be used to compare a variety of modelling approaches to the same dataset, where some models use transformed data and others do not.

The theoretical basis upon which allometric equations are built has also been used by managers of natural ecosystems who seek to predict the amount of browse available to herbivores or the amount of browse utilized by herbivores (MacCracken and Ballenberghe, 1993). A small body of work has investigated the experimental removal of biomass and subsequent regrowth with the intention of maximising production of a specific element of biomass such as coppiced sticks or livestock forage (Harrington and Fownes, 1993; Oppong et al., 2002). There is increasing demand for landscape level management that optimises the production of multiple 197

ecosystem service benefits, such as forage production, the formation and maintenance of soil and the sequestration of C (MEA, 2005).

This study seeks to quantify the amount of aboveground total and foliar biomass produced and C sequestered in the first two years of establishment of three potential silvopastoral tree species, Inga edulis, Erythrina berteroana and Leucaena leucocephala. It is assumed that the production of biomass by these tree species results in additional C sequestration in the pasture when compared to a pasture with no trees, as previous chapters have shown a negligible impact of these trees on grass production when managed by pollarding (See Chapter III). The trees of all three species were harvested 24 months post planting and had previously been pollarded to a height of 2 m at 18 months. Existing allometric models for E. berteroana, I. edulis and L. leucocephala were sought on the Internet database

Globallometree (Globallometree.org accessed July 2019). 478 existing equations were found for L. leucocephala, but no allometric equations existed for I. edulis or E. berteroana. As allometric equations are specific to the site in which species are grown and the management regime, it was considered necessary to develop specific allometric equations for these three species that considered the impact of a management regime of pollarding at 2 m after 18 months. It was hypothesised that:

(a) When three models were compared, log-linear, linear and quadratic, the log- linear model would display the best fit.

(b) The greatest single predictor of total biomass will be stem diameter measurements.

(c) Multiple predictor models will improve performance over single predictor models for the prediction of biomass components. 198

(d) Measurements of the crown will be the best predictor of total foliar biomass.

2. Methods

2.1 Measurements of Tree Biomass

Three tree species were chosen for the development of allometric models, Inga edulis, Erythrina berteroana and Leucaena leucocephala. These species had been grown in a Brachiaria brizantha cv. Marandú pasture in a planting arrangement of 0.5 x 7.5 m for a density of 2,667 trees ha-1 (see Chapter II for further information on the experimental design). Five replicates of each species were available at the beginning of the study. This experiment chose three replicates at random from each species.

Each replicate had 180 trees, for a total of 540 trees per species. All trees of all three species had been pollarded to 2 m at 18 months. The present study occurs after 24 months of growth, and 6 months after the pollard event. Approximately 40% of the trees in the three replicates were harvested for the development of allometric equations. A further 30% of trees were harvested to develop estimates of C sequestration.

In allometric studies, there is a requirement that samples should represent a range of at least one measurement to develop models that are representative of a range of size classes. This is because the equations can only describe the relationship between the variables they are given. In other words, a model that was developed based on trees of up to 2 m height is likely to display considerable error if applied to a tree of 20 m height. Therefore, where possible, the sample should include representatives including the maximum and minimum sizes in a range to increase 199

the accuracy of scale-dependent equations (LaBarbera, 1989). Height, age and diameter at breast height (DBH, 1.3 m) are commonly used in selecting size classes.

However, this study considered a plantation of trees that were of the same age and had been pollarded to 2 m. Some trees were shorter than the commonly used parameter of DBH. Therefore, RCD was used to select size classes. For each tree species, the RCD data were divided into 10 size classes and nine trees were randomly drawn from each size class, to represent three trees per replicate in each size class.

Figure 47. Diagram representing the location of measurements on tree, where CD is crown diameter, CDep is crown depth, CH is crown height, H is height, RCD is root collar diameter, SD is stump diameter and DBH is diameter at breast height. . Height (cm) was measured from the ground to the top of the highest meristem

(Figure 47). Crown height (cm) was measured from the ground to where foliage volume assumes 5% of the total. Callipers were used to measure, at the widest point, the RCD (mm), diameter at stump height (mm, SD, measured 0.3 m above 200

ground) and DBH (mm). Where trees presented branches or other features that may have changed the diameter at this point, the decision was taken to measure at the nearest regular point below the irregularity. In the case of the RCD, if the base of the tree was irregularly damaged, this measurement was excluded. In trees where multiple stems were present, each stem was measured and the mean average was reported (Parent, 2000). A 5 m measuring tape was used to measure crown diameter (CD, mm), taken as the mean average of three horizontal measurements of the crown perpendicular to the ground. The crown radius (r) was calculated as the crown diameter divided by two. Crown depth was derived using equation 4. Crown area (CA) was assumed to be a circle through observation and was derived using equation 5. Crown volume (CV) was assumed to equate to a cylinder, the best fit for the pollarded trees, and was calculated using equation 6:

(Equation 4) Crown depth = height – crown height

(Equation 5) CA = πr2

(Equation 6) CV =πr2CD

Trees were felled at ground level with a chainsaw. For each tree, biomass was divided into stem, branch and foliage. Due to resource constraints, only aboveground biomass was considered in the present study. Each biomass component was weighed separately using an appropriate spring-loaded scale. All biomass was grouped according to its component and three subsamples drawn from each at the end of every sampling period. Subsamples were dried at 80 °C until a constant dry weight was reached. Stem samples were divided into 1 m sections and their fresh weight volume calculated according to Newton’s equation:

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퐿(퐴 +4퐴 +퐴 ) (Equation 7) 푉 = 푏 푚 푠 6

Where b is diameter at the base, m is diameter at the middle and s is diameter at the endpoint of the stem section.

2.2 Data Exploration

All analyses were carried out using the statistical program R (3.2.2, Mac OS X).

Variables were visually assessed for relationships and outliers using scatter plots.

Spearman’s correlation tests were used to determine the level of correlation between variables as Spearman’s is a ranked approach and is therefore not sensitive to data transformations.

The present study hypothesises that the growth presented by the species in this study is multiplicative and therefore the best-fit models will be log-linear. This assumption must be tested because the decision to log transform the data should not be arbitrary (Sileshi, 2014). Three modelling approaches were chosen to test the error distributions and fit for the formulation of allometric equations, linear, log linear and quadratic. The residual plots and error distributions were reviewed for these three modelling approaches. In all models both normal and kernel density distribution models were used to plot the residuals against the predicted values to test for normality and homogeneity. Outliers were detected by using Cook’s Distance.

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2.3 Model Comparison and Selection

Linear, log-linear and quadratic equations were developed and compared using

Furnival’s Index for the selection of the most appropriate model (Furnival, 1961):

rMSE (Equation 8) F. I. = GM(d(푓(Y))/dY)

Where rMSE is the root mean square error of the fitted equations, f(Y) is the transformation function on the dependent variable d(f(Y))/dY is the derivative of the transformation fitted to Y, and GM denotes the geometric mean of 1/Y (Kershaw et al., 2016).

Furnival’s Index (F.I.) can be compared between models with transformed and untransformed variables. A lower F.I. results from a lower error associated with the model and therefore an improved fit. The R2 or coefficient of determination is typically used to compare models and is interpreted as a percentage explanation of the model fit of the data where a higher R2 represents an improved fit. The R2 is derived from the sum of squares residual divided by the sum of squares total (the R2 can also be ‘adjusted’ for increased model parameters). However, it is inappropriate to compare the R2 of a model with the R2 of a model that uses a transformed predictor variable.

2.4 Model Validation

The models were cross-validated by the repeated cross validation technique. The dataset was divided into ‘k groups’ also known as ‘k-folds’ where the training data was defined as k = 10, which results in a manageable bias-variance trade-off, and 203

the test data was k-1 (James et al., 2013; Arlot and Celisse, 2010). This can also be described as a random 10% subset of the data being used to test 90% of the data.

This process was repeated three times. The mean average of the root of the residual mean squared error for three repeats is reported (rMSE). The data were subsequently combined and the full dataset was used to generate the allometric models.

2.5 Allometric Models

The following linear equation was used to test allometric models:

(Equation 9) y = a + b * X

Where a is the intercept coefficient, b is slope coefficient, y is a biomass component either total biomass, trunk biomass, branch biomass, leaf biomass and X is Root

Collar Diameter (RCD, mm), Diameter at Breast Height (DBH, mm), Stump Diameter

(SD, mm), Crown Volume (CV, cm3), Crown Diameter (CD, cm) or as a function of both RCD and Height (cm). These parameters were also modeled in the quadratic form, where c is an additional model coefficient:

(Equation 10) y = aX2 + bX + c

Kitteredge (1944) found that Huxley's (1932) equation could be used to derive the biomass of several species of spruce and pine trees. This is a common allometric equation for the estimation of tree biomass:

(Equation 11) y = aXb

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This can also be used in the logarithmic form to produce a log-linear model. The use of the logarithmic form requires back transformation of the dependent variable. This paper calculates the error associated with log transformation as lambda (λ) and associated standard deviation according to the equation proposed by Marklund

(1987), where n is sample size:

푛 ∑푖=1 푌푖 (Equation 12) 휆 = ̂ 푛 ln 푌푖 ∑푖=1 푒

The following log-linear allometric model was tested:

(Equation 13) ln(y) = a + b * lnX

Where ln(y) is the natural logarithmic transformation of the biomass components or expansion factors listed above, ln(X) is the log transformation of the measurements listed above. Where multiple predictors were present in the model the adjusted coefficient of determination (R2) was reported.

2.6 Calculation of Carbon Stocks

The C content was estimated by multiplying the individual tree biomass (Mg ha-1) by the IPCC default C value for trees in tropical forests of 0.47 (Eggleston et al., 2006).

The value for the C sequestration of each tree was then multiplied by the planting density (2,667 trees ha-1). The average and standard deviation was reported. To calculate mean annual increment (MAI) of biomass produced and C sequestered the results of the total biomass at the 24-month destructive harvest and the pollard of biomass at 18 months over 2 m were combined and divided by the number of years of data. No estimate was made of the carbon present in belowground biomass as this data was not collected in the present study due to resource constraints. 205

3. Results

3.1 Measurements of Tree Biomass

Subsamples of all biomass components showed strong relationships between wet and dry weight (Appendix 1). The contribution of foliar biomass to total biomass was

3% in E. berteroana (Table 7), 15% in I. edulis (Table 8) and 2.4% in L. leucocephala

(Table 9). The sample size (n) of 68 for DBH of E. berteroana in Table 7 is due to not all trees exceeding the 1.3 m at which the measurement was taken. I. edulis produced over 60% more total biomass and 660% more foliar biomass than either E. berteroana or L. leucocephala. I. edulis had a 223% greater crown volume than that of E. berteroana or and a 163% greater crown volume than that of L. leucocephala.

I. edulis had 111% more branch biomass than E. berteroana and 220% more branch biomass than L. leucocephala. Average trunk biomass of all three species were similar 1.3 ± 0.8 kg for I. edulis, 1.0 ± 0.8 kg for E. berteroana and 1.0 ± 0.5 kg for L. leucocephala. 6 months post pollard to 2 m, L. leucocephala had grown by 1 m to a height of 298 cm, which represented an increase on the 242 cm height of I. edulis and 219 cm height of E. berteroana. L. leucocephala was the species with the lowest average diameter measurements for RCD (44 mm, compared to 67 mm of I. edulis and 63 mm of E. berteroana) SD (35 mm, compared to 50 mm and 48 mm of I. edulis and E. berteroana respectively) and had a DBH (22 mm) similar to that of E. berteroana (21 mm) but lower than that of I. edulis (34 mm).

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Table 7. Descriptive statistics of biomass parameters of individual harvested Erythrina berteroana used in constructing allometric equations, including sample size (n), root collar diameter (RCD, 0.05 m), stump diameter (SD, 0.3 m) and diameter at breast height (DBH, 1.3 m). Mean, standard deviation (SD), minimum (min), maximum (max), lower 25th percentile (25th perc), upper 75th percentile (75th perc), as well as coefficients of skewness and kurtosis are presented.

Variable n Mean SD Min Max 25th perc 75th perc Skewness Kurtosis Total Biomass (g) 73 1316.3 1005.1 36.4 4517 505.3 1935 1.1 0.8 Trunk Biomass (g) 73 1015.4 792.9 35.2 4087 417.9 1378 1.3 2.1 Branch Biomass (g) 72 262.6 315.8 0.6 1942 61.3 360.7 2.7 9.8 Leaf Biomass (g) 73 42 51.5 0.4 231.3 9.2 67 1.9 3.5 RCD (mm) 73 62.6 21.5 21.6 123.1 50.7 74.8 0.4 0.4 SD (mm) 73 48.2 18.3 17 105.4 33.6 61.6 0.5 0.1 DBH (mm) 68 21.4 7.6 8.4 47.7 15.8 25.4 0.8 1.0 Height (cm) 73 218.8 53.2 72 200 218.8 314.0 -0.74 0.1 Crown Volume (cm3) 73 939219.3 1028901 1341.8 4125900 156800 1390000 1.5 1.5 Crown Diameter (cm) 73 88.5 42.9 10.3 191.7 53.3 122.3 0.4 -0.7

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Table 8. Descriptive statistics of biomass parameters of individual harvested Inga edulis used in constructing allometric equations, including sample size (n), root collar diameter (RCD, 0.05 m), stump diameter (SD, 0.3 m) and diameter at breast height (DBH, 1.3 m). Mean, standard deviation (SD), minimum (min), maximum (max), lower 25th percentile (25th perc), upper 75th percentile (75th perc), as well as coefficients of skewness and kurtosis are presented.

Variable n Mean SD Min Max 25th perc 75th perc Skewness Kurtosis Total Biomass (g) 78 2191.2 1402.6 177 6692 1269 2943 0.9 0.3 Trunk Biomass (g) 78 1327 804.7 162.5 4229 721.5 1795 1.0 1.3 Branch Biomass (g) 78 554.6 579.2 0.3 2190 71.4 835.8 1.1 0.4 Leaf Biomass (g) 78 323.1 332.7 1.6 1290 66.7 448.4 1.3 1.1 RCD (mm) 78 65.6 22.5 12.8 127.2 52.4 80.8 0.1 -0.3 SD (mm) 78 50.3 16.4 16.1 87.2 39.2 60.3 0.1 -0.5 DBH (mm) 78 34.4 14.5 12.9 89.7 25.5 39.6 1.6 3.3 Height (cm) 78 242.1 45.9 108 358 220.0 262 -0.3 2.1 Crown Volume (cm3) 78 3039987 3226258 148100 16300000 1013000 3855000 2.3 5.0 Crown Diameter (cm) 78 149.3 64.8 52.3 485.7 107.3 179.5 1.8 6.7

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Table 9. Descriptive statistics of biomass parameters of individual harvested Leucaena leucocephala used in constructing allometric equations, including sample size (n), root collar diameter (RCD, 0.05 m), stump diameter (SD, 0.3 m) and diameter at breast height (DBH, 1.3 m). Mean, standard deviation (SD), minimum (min), maximum (max), lower 25th percentile (25th perc), upper 75th percentile (75th perc), as well as coefficients of skewness and kurtosis are presented.

Variable n Mean SD Min Max 25th perc 75th perc Skewness Kurtosis Total Biomass (g) 63 1259.5 670.1 178 2941.9 721.3 1665 0.39 -0.5 Trunk Biomass (g) 63 1056.5 546.8 174.3 2661 643.6 1378 0.44 -0.2 Branch Biomass (g) 63 172.6 215.9 0.4 1300 24.8 215.4 2.7 9.9 Leaf Biomass (g) 63 30.4 36.4 0.4 197.3 5.1 38.7 2.09 5.5 RCD (mm) 63 44 12.8 20.2 2661.3 643.6 1378 0.13 -0.5 SD (mm) 63 35 10.8 9.5 61.3 27.3 42.8 -0.1 -0.4 DBH (mm) 63 22.2 8.6 5.6 43.5 16.3 28.9 0.45 -0.5 Height (cm) 63 293.7 63.7 144 420 250 343 0.1 -0.8 Crown Volume (cm3) 63 1158571 1349790 15400 6355000 186100 1798000 1.65 2.6 Crown Diameter (cm) 63 97.8 45.5 30 220 63.5 120 0.72 -0.1

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3.2 Data Exploration

When Spearman’s correlations were compared between biomass parameters and tree measurements for E. berteroana, the total biomass showed the strongest correlation with the measurement of crown volume (0.75), the trunk biomass equally by RCD (0.71) and SD (0.71), the branch biomass by crown diameter (0.83) and the leaf biomass by crown diameter (0.77) (Table 10). RCD and height did not have strong correlation (0.39). For I. edulis, RCD was the strongest predictor of total biomass (0.82), trunk biomass (0.81), and branch biomass (0.66). Crown volume was found to have the strongest correlation with leaf biomass (0.68) (Table 11).

Height was found to have an association (0.57) with total biomass and showed a weak correlation (0.45) with RCD. For L. leucocephala RCD was the strongest predictor of total biomass (0.87) and trunk biomass (0.91). Branch biomass was equally predicted by crown volume (0.67) and crown diameter (0.67). Crown diameter was also the most correlated measurement with leaf biomass (0.78) (Table

12). In L. leucocephala, RCD had a weak correlation with height (0.45).

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Table 10. Spearman’s correlation of E. berteroana biomass components. Total biomass (Total), trunk biomass (Trunk), branch biomass (Branch), total foliar biomass (Leaf), root collar diameter (RCD, 0.05 m), stump diameter (SD, 0.3 m), diameter at breast height (DBH, 1.3 m), height, crown volume (CVol) and crown diameter (CD).

Total Trunk Branch Leaf RCD SD DBH Height CVol CD Total 1 0.97 0.7 0.78 0.73 0.68 0.68 0.67 0.75 0.73 Trunk 0.97 1 0.55 0.72 0.71 0.71 0.68 0.67 0.69 0.64 Branch 0.7 0.55 1 0.7 0.63 0.43 0.51 0.43 0.72 0.83 Leaf 0.78 0.72 0.7 1 0.55 0.53 0.58 0.64 0.71 0.77 RCD 0.73 0.71 0.63 0.55 1 0.7 0.6 0.39 0.55 0.59 SD 0.68 0.71 0.43 0.53 0.7 1 0.63 0.41 0.46 0.54 DBH 0.68 0.68 0.51 0.58 0.6 0.63 1 0.55 0.56 0.58 Height 0.67 0.67 0.43 0.64 0.39 0.41 0.55 1 0.81 0.56 CVol 0.75 0.69 0.72 0.71 0.55 0.46 0.56 0.81 1 0.85 CD 0.73 0.64 0.83 0.77 0.59 0.54 0.58 0.56 0.85 1

Table 11. Spearman’s correlation of I. edulis biomass components. Total biomass (Total), trunk biomass (Trunk), branch biomass (Branch), total foliar biomass (Leaf), root collar diameter (RCD, 0.05 m), stump diameter (SD, 0.3 m), diameter at breast height (DBH, 1.3 m), height, crown volume (CVol) and crown diameter (CD).

Total Trunk Branch Leaf RCD SD DBH Height CVol CD Total 1 0.88 0.86 0.8 0.82 0.7 0.49 0.49 0.66 0.67 Trunk 0.88 1 0.6 0.58 0.81 0.8 0.57 0.44 0.58 0.58 Branch 0.86 0.6 1 0.71 0.66 0.55 0.38 0.38 0.57 0.63 Leaf 0.8 0.58 0.71 1 0.65 0.5 0.32 0.53 0.68 0.67 RCD 0.82 0.81 0.66 0.65 1 0.78 0.62 0.47 0.67 0.66 SD 0.7 0.8 0.55 0.5 0.78 1 0.69 0.4 0.55 0.54 DBH 0.49 0.57 0.38 0.32 0.62 0.69 1 0.24 0.36 0.36 Height 0.49 0.44 0.38 0.53 0.47 0.4 0.24 1 0.63 0.4 CVol 0.66 0.58 0.57 0.68 0.67 0.55 0.36 0.63 1 0.88 CD 0.67 0.58 0.63 0.67 0.66 0.54 0.36 0.4 0.88 1

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Table 12. Spearman’s correlation of L. leucocephala biomass components. Total biomass (Total), trunk biomass (Trunk), branch biomass (Branch), total foliar biomass (Leaf), root collar diameter (RCD, 0.05 m), stump diameter (SD, 0.3 m), diameter at breast height (DBH, 1.3 m) height, crown volume (CVol) and crown diameter (CD).

Total Trunk Branch Leaf RCD SD DBH Height CVol CD Total 1 0.94 0.76 0.82 0.87 0.77 0.53 0.57 0.69 0.71 Trunk 0.94 1 0.56 0.75 0.91 0.84 0.62 0.55 0.61 0.62 Branch 0.76 0.56 1 0.8 0.53 0.49 0.19 0.59 0.67 0.67 Leaf 0.82 0.75 0.8 1 0.65 0.54 0.33 0.73 0.75 0.78 RCD 0.87 0.91 0.53 0.65 1 0.87 0.64 0.45 0.54 0.55 SD 0.77 0.84 0.49 0.54 0.87 1 0.67 0.45 0.54 0.55 DBH 0.53 0.62 0.19 0.33 0.64 0.67 1 0.37 0.28 0.26 Height 0.57 0.55 0.59 0.73 0.45 0.45 0.37 1 0.84 0.75 CVol 0.69 0.61 0.67 0.75 0.54 0.54 0.28 0.84 1 0.92 CD 0.71 0.62 0.67 0.78 0.55 0.55 0.26 0.75 0.92 1

Appendix 2-4 show the relationship between total biomass and RCD for I. edulis when plotted using linear, quadratic and log-linear models. The linear model fails to fit the data points, which appear to show an exponential relationship and multiplicative error (Appendix 2). The quadratic model fails to improve the model fit due to being misled by amplified outliers (Appendix 3). The log-linear model appears to be a better fit for the data and does not show any serious errors in the residual plots (Appendix 4).

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3.3 Model Selection

When the Furnival’s Index of all modelled approaches was compared, it was revealed that the log-linear models are always superior to the quadratic or linear models for all biomass parameters in all species in this study (Appendix 5 - 22). The models with the lowest Furnival’s Index (F.I.) for each biomass parameter are presented in Table 13. The best-fit models are plotted in Figures 48 - 51. It was only possible to graphs with the data points for linear models (Fig 49 and Fig 50). For species where quadratic models offered best fit the regression line has been plotted without the data points (Fig 48 and Fig 51).

In this study, the species differ in which measurements can be used to best predict components of biomass. The inclusion of height with RCD as a multiple predictor resulted in the lowest F.I. for total and trunk biomass in E. berteroana and L. leucocephala. For I. edulis the inclusion of height did not improve the prediction of biomass and the single predictor of RCD had the lowest F.I. for all of the biomass measurements. Predictors for the total biomass of L. leucocephala (R2=0.86) were more effective then predictors of total biomass of either E. berteroana (R2=0.77) or I. edulis (R2=0.70). The hypothesis that measurements of the crown would be the best predictor of total foliar biomass was upheld for E. berteroana by the measurement of crown diameter (R2=0.58) but rejected for L. leucocephala (RCD and height as combined predictors with lowest F.I.) and I. edulis (RCD as single predictor with lowest F.I.).

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When the root mean square error (rMSE) was compared within species between biomass parameters, the rMSE in I. edulis branch biomass was increased 282% when compared to the rMSE present in the prediction of trunk biomass and leaf biomass showed a 205% increase in rMSE when compared to trunk biomass. For E. berteroana the branch biomass rMSE was increased 42% compared to trunk biomass, and leaf biomass rMSE increased 96% compared to trunk biomass. For L. leucocephala the branch biomass had a 495% increased rMSE than trunk biomass, the leaf biomass rMSE showed a 320% increase when compared with the rMSE of trunk biomass.

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Table 13. Log-linear allometric equations demonstrated the lowest Furnival’s Index (F.I.) against linear or quadratic models for biomass components of 0.5 x 7.5 m alley rows of Erythrina berteroana, Inga edulis and Leucaena leucocephala 6 months post pollarding to a height of 2 m. Where ln(x) is the log transformation of the following measurements used as predictors of biomass: Root collar diameter (RCD mm, 0.05 m), height (cm) and crown diameter (CD, cm). ln(y) is the log transformation of total biomass (g), trunk biomass (g), branch biomass (g) or leaf biomass (g). Where b0 is the intercept coefficient, b1 and b2 are the slope coefficients, all of which are reported with standard error (S.E.) and significance (P). Lambda (λ) and standard deviation (S.D.) as back transformation according to Marklund (1987), root mean square error of model (Model rMSE) and results of K-fold model cross validation (k=10) reported as root mean squared error (CV rMSE).

ln(y) Model CV 2 Species (Biomass) ln(x) b0 (S.E.) P b1 (S.E.) P b2 (S.E.) P R λ S.D. F.I. rMSE rMSE E. berteroana Total RCD + Height -6.41 (1.02) <0.001 1.53 (0.2) <0.001 1.31 (0.25) <0.001 0.77 1.12 0.83 523.2 0.47 0.49 Trunk RCD + Height -6.91 (1.03) <0.001 1.38 (1.38) <0.001 1.47 (0.25) <0.001 0.76 1.13 0.94 409.5 0.48 0.50 Branch CD -3.99 (0.65) <0.001 2.04 (0.15) <0.001 0.73 0.25 0.19 104.8 0.68 0.74 Leaf CD -7.06 (1.07) <0.001 2.28 (0.24) <0.001 0.58 1.49 1.36 20.1 0.94 0.93 I. edulis Total RCD 0.56 (0.51) 0.28 1.68 (0.12) <0.001 0.70 1.07 0.54 759.2 0.44 0.46 Trunk RCD 0.95 (0.43) 0.03 1.47 (0.10) <0.001 0.71 1.07 0.56 409.6 0.38 0.39 Branch RCD -8.89 (1.67) <0.001 3.45 (0.40) <0.001 0.48 2.37 4.64 287.9 1.45 1.51 Leaf RCD -6.47 (1.33) <0.001 2.78 (0.32) <0.001 0.48 2.19 6.52 169.1 1.16 1.20 L. leucocephala Total RCD + Height -3.04 (0.79) <0.001 1.69 (0.12) <0.001 0.66 (0.16) <0.001 0.86 0.98 0.26 64.33 0.24 0.25 Trunk RCD + Height -2.26 (0.67) 0.001 1.71 ( 0.1) <0.001 0.47 (0.13) <0.001 0.89 1.03 0.21 39.02 0.20 0.21 Branch CD -7.16 (1.43) <0.001 2.55 (0.32) <0.001 0.51 1.86 2.33 83.7 1.19 1.23 Leaf RCD + Height -21.53 (2.75) <0.001 1.92 (0.40) <0.001 3.01 (0.55) <0.001 0.61 1.34 1.05 10.62 0.84 0.89

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4 Biomass Total

2 Trunk

0

)

y

(

n

l

2

4

6

0 1 2 3 4 5 6 7

ln(x)

Figure 48. The log transformation of x (root collar diameter (mm) + height (cm)) derived using a linear model for the log transformation of 1) y as total biomass (g, R2 = 0.77, P <0.01) and 2) y as trunk biomass (g, R2 = 0.76, P<0.01) for Erythrina berteroana following the equations presented in Table 13.

Biomass

7 Branch Leaf

6

)

S

S

A

5

M

O

I

B

4

(

n

l

3

2

3.5 4.0 4.5 5.0

ln(CROWN DIAMETER)

Figure 49. The log transformation of crown diameter (cm) derived using a linear model for the log transformation of branch biomass (g, R2 = 0.73, P<0.01) and leaf

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biomass (g, R2 = 0.58, P<0.01) for Erythrina berteroana following the equations presented in Table 13.

Biomass Total Trunk

8

) Branch S Leaf

S

A

M

7

O

I

B

(

n

l

6

2.5 3.0 3.5 4.0 4.5

ln(RCD) Figure 50. The log transformation of root collar diameter (mm) derived using a linear model for the log transformation of total biomass (g, R2 = 0.70, P<0.01), trunk biomass (g, R2 = 0.71, P<0.01), branch biomass (g, R2 = 0.48, P<0.01) and leaf biomass (g, R2 = 0.48, P<0.01) for Inga edulis following the equations presented in Table 13.

8 Biomass Total

6 Trunk Branch Leaf

4

)

y

(

n

l

2

0

2

0 1 2 3 4

ln(x) Figure 51. The log transformation of x where 1) x is root collar diameter (mm) + height (cm) derived using a linear model for the log transformation of total biomass 217

(g, R2 = 0.86, P<0.01), trunk biomass (g, R2 = 0.89, P<0.01) and leaf biomass (g, R2 = 0.61, P<0.01) and 2) x is crown diameter (cm) derived using a linear model for the log transformation of branch biomass (g, R2 = 0.51, P<0.01) for Leucaena leucocephala following the equations presented in Table 13.

Total above ground biomass fraction and C stock after 24 months is presented in

Table 14. When the biomass from the destructive harvest at 24 months was combined with the biomass from the pollard exercise at 18 months to represent total accumulated biomass over the course of the 24 months of this study, I. edulis had accumulated the most biomass and therefore more C (3.4 Mg C ha-1) than E. berteroana (2.2 Mg C ha-1) and L. leucocephala (2.0 Mg C ha-1) (Table 14).

Table 14. Total above ground biomass fraction and carbon (C) stock (Mg ha-1) after 24 months, including previously removed biomass > 2 m at 18 months (Chapter III) of Erythrina berteroana, Inga edulis and Leucaena leucocephala when 2667 trees ha-1 (0.5 x 7.5 m), using the IPCC default C fraction for tropical forests of 0.47. Where n is sample size and MAI is Mean Annual Increment (Mg ha-1 year-1) (Eggleston et al., 2006).

Tree Biomass MAI Tree Species n Mg ha-1 Biomass C Mg ha-1 MAI C E. berterona 106 4.4 2.2 2.1 1.0 I. edulis 112 7.2 3.6 3.4 1.7 L. leucocephala 96 4.3 2.2 2.0 1.0

4. Discussion

The results of this study show that Erythrina berteroana, Inga edulis and Leucaena leucocephala can produce substantial amounts of biomass after 24 months and show good potential for the rapid sequestration of C in above ground biomass. This study shows a considerable increase in C sequestration via the addition of these trees when the tree biomass is assumed to be additional to the business-as-usual

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carbon sequestration of monoculture pastures in the region. This assumption is based on the trees being managed in such a way so as to have negligible impact on grass production (see Chapter III). Further work may be carried out that examines the interaction of C sequestration by grassland or silvopasture based on the interaction of the tree and grass elements in such systems.

This paper alludes to an assumption in the literature that the ratio of dry weight of tree biomass to carbon content averages around 0.47-0.49. The estimates of C in this study were drawn from the IPCC report that reports the average value for tropical forests

(Eggleston et al., 2006). This assumption was challenged by the results of a study in

Panama that showed the ratio of biomass dry weight taken from tree cores to carbon to vary from a proportion of 0.42–0.52 when 59 rainforest trees were sampled (Martin and Thomas, 2011). The same study did not find any correlation between C stocks with relative growth rate or wood density. The reliability of the estimates of C sequestration in the present study could be improved by specific analysis of C content in the plant material between species and biomass components and the inclusion of sampling that considers the production of below ground biomass to enable the C sequestered belowground to be estimated.

Site level differences such as planting arrangement, water availability, nutrient availability, soil compaction, temperature, solar irradiation and species associations may also limit the transferability of one study’s findings for a species biomass

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accumulation to other regions (Sharma and Ambasht, 1991; Prasad et al., 2011).

Montagnini and Nair (2004) found that agroforestry practiced by small holders in the tropics had a C sequestration potential of 1.5 to 3.5 Mg C ha-1 year-1 (Montagnini and

Nair, 2004). Less is known about the effects of pollarding or biomass removal on C sequestration potential of these systems. A fodder bank in Mali, west Africa of Gliricidia sepium, Pterocarpus lucens and P. erinaceus at 7.5 years was found to sequester

0.29 Mg C ha-1 year-1 (Takimoto et al., 2008).

The findings of the present study can be viewed in light of what other authors have found to be true of the biomass production in different planting arrangements and site conditions. Szott et al. (1994) planted I. edulis in Yurimaguas, Peru, in an arrangement of 2 x 2 m and used allometric equations based on the measurement of diameter of the trunk 0.1 m above soil (hereafter D10) for 10 harvested individuals with a D10 between 1 and 5.5 cm to estimate the total tree biomass. They estimated that at 17 months I. edulis had an average of 10 Mg ha-1 of biomass and by 29 months this had increased to 14.24 Mg ha-1. Shimamoto et al. (2014) measured the biomass production of 12-year-old naturally regenerating I. edulis in the Parana

State in Southern Brazil. They sampled 9 trees and found annual accumulation of

20.73 kg (± 12.09) to 24.48 kg (± 19.71) biomass tree-1. Prasad (2011) found that in southern India, after 51 months, a spacing of 0.8 x 5 m for L. leucocephala resulted in a total biomass production of 47 kg tree-1 (2,500 trees ha-1) whereas 1 x 1 spacing resulted in 38 kg tree-1, but that the per hectare biomass was higher in the 1 x 1 m spacing (10,000 trees ha-1). López et al. (2008) planted L. leucocephala in 220

southwestern Spain at a density of 9,500 trees ha-1 and found a total biomass production for three provenances of 23.4 Mg ha-1 (±2.9), 30.9 Mg ha-1 (±6.9) and

25.6 Mg ha-1 (±13.1) at 24 months. E. berteroana in a live fence arrangement in

Costa Rica was reported to produce 19.4 Mg ha-1 after 24 months, but the planting arrangement was not specified (Pezo et al., 1990). Pennington (1998) planted I. edulis at 3 x 3 m spacing at trial sites in on the Pacific Coast and the Amazon of

Ecuador. I. edulis consistently demonstrated an increased height and diameter growth rate when compared to four other species of Inga, and produced 2.5 Mg ha-

1year-1 of woody biomass.

In this study, I. edulis had the highest rates of overall biomass production. While the trunk biomass was relatively similar for all three species, I. edulis produced over six times (660%) more foliar biomass than E. berteroana or L. leucocephala. Szott et al.

(1994) in Yurimaguas, Peru, found that for small I. edulis trees (D10 = 2.5 cm), trunk accounted for 33% of total biomass, branches for 21% and leaves for 45%. In larger trees (D10= 10 cm) the biomass was 51% trunk, 32% branches and 17% leaves. In the present study, the contribution of biomass components to total biomass was 60% trunk, 25% branches and 15% leaf. The differences between the present study with that of Szott et al. (1994) may be as a result of the pollard > 2 m which may have resulted in less trunk biomass being removed than branch and leaf components.

As expected, the log-linear models for all biomass parameters in all species had the lowest Furnival’s Index and therefore can be considered the best models for the

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prediction of biomass. The inclusion of multiple predictors in the model (RCD + height) did not improve the model fit for I. edulis, but did improve the model fit for the total and trunk biomass of E. berteroana and L. leucocephala. Lojka et al. (2005) found that power relationships on untransformed variables were the best fit for the prediction of I. edulis biomass. They destructively sampled 35 trees and measured leaf litter, diameter of trunk at D10, age of trees and height. They found the highest prediction of wood biomass (kg) by the measurement of diameter (y = 0.0466x2.3713;

R2= 0.92). D10 was also the strongest predictor of leaf biomass (kg) (y =

0.1564x1.1817; R2=0.79). Szott et al. (1994) developed allometric equations for I. edulis based on the destructive harvest of 27 trees with a D10 of 1 – 5.5 cm and develop allometric equations for the stem biomass (kg) (y = 0.089*(D10)2; R2=0.77), branch biomass (kg) (y = 0.057*(D10)2; R2=0.96) and leaf biomass (kg) (y =

0.3003*(D10); R2=0.85). In the present study, the R2 of best performing models shows poorer performance than the models present in the literature. It is likely that the lower R2 in this study is a consequence of the difference in management approach in this study which included pollarding all trees over 2 m at 18 months.

Managed forest plots, where trees undergo management interventions such as coppicing or pollarding, could be expected to demonstrate different allometric relationships when compared with trees that are free from such interference.

However, it is the effect of the management on the trees that is precisely of interest, as the management will effect the production of key ecosystem services from the systems. The pipe model theory asserts that the diameter of a tree is proportional to

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the water requirements of the tree canopy and that the canopy size is determined by the transpirational rate (Shinozaki et al., 1964). The pipe model is one of the theories from which allometric equations are believed to derive their power.

Nygren et al. (1993) state that repeated pruning of the tree alters the development of the trunk diameter as it changes the leaf area to trunk ratio. They propose the formation of equations based on measurements leaf area and leaf mass related to the diameter of branches that form following pruning. Their approach was successful for four clones of E. berteroana, the average of which produced an R2 of 0.89 with the equation: leaf biomass = 0.2209*CS, where CS is branch cross sectional area measured in mm. The R2 for the leaf biomass of E. berteroana in the present study was lower (R2= 0.58) and future studies could consider the methodological approach of Nygren et al. (1993), which may be superior for the prediction of foliar biomass.

Lott et al. (2000) found that the approach followed by Nygren (1993) produced reliable estimates of canopy leaf area and biomass for Grevilla robusta agroforestry systems, but proved unsuitable for routine measurements due to the time consuming nature of this approach. Lott et al. (2000) suggest that the measurement of trunk cross sectional area immediately below the first branch was suitable for the prediction of leaf area and canopy biomass in Grevilla robusta managed for poles.

There is evidence that regrowth of trees following pruning and pollarding may be in part dependent on carbohydrate reserves, which can be depleted by coppicing or pollarding regimes and in some cases there may also be effects of seasonality (Kays and Canham, 1991; Raitio et al., 1994).

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In temperate regions where plants may have well defined growing seasons, the timing of biomass management (via, e.g. directly via pruning/pollarding/coppicing or browsing) has been shown to have an effect on the production of biomass (Douglas,

1996; Opping, 2002). Burner (2006) studied the effect of harvest date on Robinia pseudoacacia and found temporal variation in allometric equations post-pollard, as foliar mass accumulated more quickly in some months than in others. Therefore, they developed month specific equations. Seasonality would also have had a strong effect on the trees in this study, and month specific equations may have been a more appropriate approach but was not followed in this study. The present study could be improved by characterising the effects of both the frequency of pollarding and also how the timing of pollarding relative to how tropical seasonality effects foliar production in an attempt to increase understanding of how to improve management and production of these species.

It is a convention in forestry that DBH is the most commonly used measurement for the development of allometric equations because it can be easily measured with high accuracy (Kershaw et al., 2016). For all species in this experiment, when the three heights of stem diameter measurements were compared, the RCD had the highest fit to total biomass, followed by SD. DBH demonstrated the poorest fit. This suggests that the RCD is a valuable parameter that could be included in future studies that attempt to develop allometric equations for young trees in agroforestry systems. The stem measurement of RCD was the best single predictor of total biomass for I. edulis

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and L. leucocephala. RCD has been used when a high proportion of sample trees are below the 1.3 m at which DBH is traditionally measured (Dutcă et al., 2018).

However, equations developed from RCD may be less accurate for trees with buttress roots or stilts. C. pentandra was included in this experiment, and is a species that develops buttress roots. As this tree grows the reliability of the measurement of RCD for total biomass is likely to change. Further work would be required to understand more about this relationship, and how RCD changes in reliability between size classes across species. Rubilar et al. (2010) measured both

RCD and DBH for Pinus radiata and found similar results for both variables. Guedes

(2018) found that measurements of RCD were interchangeable with DBH in the lowland miombo woodlands of Mozambique. This may be useful to estimate the biomass of trees that have been removed from their stumps. Jagodziński et al.

(2018) developed biomass equations for Pinus sylvestris, a species they observed to be prone to root collar swelling. Therefore, they used root collar diameter only when trees were shorter than 0.5 m. Dutcă (2018) used root collar diameter as a parameter on young Norway spruce trees with a maximum height of 5.5 m. Kuyah et al. (2013) found that D10 was better at predicting below ground biomass (R2 = 0.91) than above ground biomass (R2 = 0.88), but overestimated the biomass of most components by 20%. They discussed that these errors were, in part, due to uncertainties in the location of the measurement of D10. MacCracken and

Ballenberghe (1993) tested multiple models for moose browse on the Copper River

Delta, Alaska and found that mass of leaf and twig production was best predicted by

RCD.

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Authors have suggested that the inclusion of additional variables, such as height, will increase the predictive powers of models (Chave et al., 2005). When the additional variable height was included in the RCD model this became the strongest predictive model for the total biomass of L. leucocephala and E. berteroana. The inclusion of height did not improve the model fit for I. edulis. Height and stem diameter measurements are frequently too highly correlated for both to be included in the same model, due to the issue of multicollinearity (Balehegn et al., 2012; Sileshi,

2014). To avoid multicollinearity, some authors have tested both height and diameter independently and included whichever variable results in improved fit or is easiest to measure (Pajtek, 2008). In some cases they have combined the two variables into a single variable to improve model fit, such as the D2H in Dutcă et al. (2018) and the

DBH2H in Rubilar et al. (2010). It is possible that the inclusion of height did not improve the model fit for I. edulis as a consequence of the pollard at 2 m. I. edulis may have responded to the increased availability of light following pollarding by investing more resources into the growth of lighter foliar biomass, as opposed to the production of heavier woody biomass. Of all species, I. edulis demonstrated the highest foliar biomass production relative to other biomass components. The foliar biomass, which weighs less than the woody biomass, would not be represented by the height of the tree. Therefore, it may be the case that tree species that have a high proportion of foliar to total biomass have a greater need for species specific models, particularly when the trees are managed by pollarding or removal of the foliar biomass.

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Stem-based models (RCD, SD, DBH) predicted with the greatest accuracy the stem or total above ground biomass, and displayed poorer performance when estimating the branch or foliar biomass. This may occur when the stem biomass, which is likely to be highly correlated with the stem diameter, is the largest constituent of the total biomass. That it was not the case in E. berteroana may be due to the fact that E. berteroana had been grown from 1 m stakes, and this may have resulted in a significantly different growth form. Manipulation of a tree via pollarding will alter both the total biomass and the relative contribution to the total biomass of components.

Yet, pruning and pollarding interventions may not impact on measurements of stem diameter (Kuyah et al., 2013).

Crown diameter and crown volume were strongly correlated with one another and both displayed the greatest fit as a single predictors of the total biomass of E. berteroana. It was hypothesised that measurements of the crown of the tree would be the best predictor of total foliar biomass. For E. berteroana, crown volume and crown diameter both showed marginally improved fit over the stem volume measurements for the prediction of total biomass. This could be due to the way this tree produces foliage, it does not rely on heavy proliferation of bifurcate branching systems, and instead the leaves are generated from principal branches and directly from the trunk (Nygren et al., 1993). As the measurement of the crown was taken where 5% of the foliage began, and the foliage was observed to occur along the entire trunk of E. berteroana, it is possible that the cylindrical measurement of crown

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volume was able to capture the majority of the woody biomass in unison with the foliage. This result highlights the need to consider the morphology of the tree when choosing which elements of the tree should be measured to develop allometric models. Where the tree has a high proportion of woody to foliar biomass, a measurement of the trunk combined with some reference to the branching architecture may be appropriate. Further work is needed to develop models that consider different branching architectures of individual species.

Future studies seeking to develop transferrable estimations of biomass can include a wide range of trees of different sizes, positioning within the stand and age (Lott et al.,

2000). Allometric equations may vary due to site specific agro ecological, climatic and edaphic conditions (Yuen et al., 2016), altitude (Cienciala et al., 2006), provenance (Poorter et al., 2012), input of fertiliser and the use of clones (Heinsoo et al., 2002), spacing and stand density (Telenius and Verwijst, 1995), the composition of mixed tree plantations (Laclau et al., 2008), the frequency and timing of biomass removal (Oppong et al., 2002), and the age of the trees in the sample (Peichl and

Arain, 2007). Practitioners must be aware that these variables may limit the transferability of allometric equations between sites, and therefore a process of verification is suggested ( (Eggleston et al., 2006; Yuen et al., 2016).

The total and stem biomass of these species can be reliably predicted by the presented equations, even when pollarding has manipulated the form of the tree.

However, the present study does not account for repeat pollarding or the temporal

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effects of season on the trees. The log-linear transformation improved the predictive power of allometric equations for all biomass components of all species. The rapid accumulation of biomass of these species implies that the integration of trees into cattle pastures in the Amazon could represent a major contribution to above ground

C storage. Further work is needed to understand the effects of management on these species, and the models presented in this study are specific to the species and conditions in the study area, and care should be taken when extrapolating the results, which were developed on a homogenous group of small trees.

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Appendices

Appendix 1. Table. The wet to dry relationship for biomass components of subsamples.taken from Inga edulis, Erythrina berteroana and Leucaena leucocephala, where R2 is the coefficient of determination, RSE is the residual square error and n is the sample size.

Biomass Species component Intercept Slope R2 RSE n I. edulis Trunk 0.629 2.073 0.992 1.6 118 Branches -21.642 2.470 0.985 180.9 118 Leaf 7.478 2.679 0.997 49.5 118 E. berteroana Trunk 2.054 2.674 0.949 4.9 117 Branches 62.000 3.112 0.989 126.0 117 Leaf -0.480 4.918 0.966 62.1 117 L. leucocephala Trunk -0.624 1.795 0.996 1.1 115 Branches -24.161 2.246 0.998 51.2 115 Leaf 1.675 2.870 0.999 19.4 115

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− Cook's distance 1 0.00 0.05 0.10 0.15 0.20 Leverage lm(log(TOTALBIOMASS) ~ log(RCD)) Appendix 4. Figure. Relationship between total biomass (g) and root collar diameter (mm) for I. edulis plotted using the log-linear transformation ln(y) = a + b * lnx showing clockwise from left (a) scatter plot and regression line, (b) departure from normal Q-Q plot and (c) residuals vs. leverage

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Appendix 5. Table. Allometric equations following the linear model for biomass components of 0.5 x 7.5 m alley rows of Erythrina berteroana 6 months post pollarding to a height of 2 m. Where (x) is the measurement used as a predictor of biomass: Root collar diameter (RCD mm, 0.05 m), diameter at breast height (DBH (mm), 1.3 m), stump diameter (SD mm, 0.3 m), crown volume (CV cm3) and crown diameter (CD cm), (y) is the log transformation of total biomass(g), trunk biomass (g), branch biomass (g) or leaf biomass (g). b0 as the intercept coefficient, b1 as the slope coefficient, both reported with standard error (S.E.) and significance (P). Coefficient of determination (R2), root mean square error of model (Model RMSE, which is the same as Furnival’s Index for untransformed data) and results of K-fold model cross validation (k=10) reported as root mean squared error (CV RMSE). MODEL 2 (x) (y) Biomass b0 (S.E.) P b1 (S.E.) P R RMSE (F.I.) CV RMSE RCD Total -698.4(265.4)0.01 32.2(4.0)<0.01 0.48 748.75 669.41 Trunk -335.3(234.2)0.2 21.6(3.5)<0.01 0.34 659.16 575.19 Branch -322.8(91.8)<0.01 9.3(1.4)<0.01 0.39 249.39 224.39 Leaf -45.6(15.8)<0.01 1.4(0.2)<0.01 0.33 43.09 41.24 DBH Total -136.6(303.3)0.7 71.9(13.4)<0.01 0.31 814.15 777.36 Trunk -118.3(241.2)0.6 56.1(10.6)<0.01 0.3 647.29 592.11 Branch 9.0(113.0)0.9 12.5(5.0)0.01 0.09 303.41 276.70 Leaf -27.3(16.8)0.1 3.4(0.7)<0.01 0.24 45.20 43.41 SD Total -221.7(305.0)0.5 32.4(5.7)<0.01 0.33 802.47 737.63 Trunk -236.7(237.9)0.3 26.3(4.5)<0.01 0.34 625.86 575.16 Branch 46.7(116.9)0.7 4.6(2.2)<0.05 0.06 307.62 268.01 Leaf -31.7(17.0)0.07 1.5(0.3)<0.01 0.26 44.67 42.56 CV Total 707.7(115.1)<0.01 0.0(0.0)<0.01 0.53 668.19 626.49 Trunk 637.8(107.3)<0.01 0.0(0.0)<0.01 0.35 623.07 569.37 Branch 68.6(40.7)0.1 0.0(0.0)<0.01 0.45 236.39 228.02 Leaf 1.3(4.6)0.8 0.0(0.0)<0.01 0.74 26.45 26.02 CD Total -144.2(217.0)0.5 16.7(2.1)<0.01 0.48 704.99 639.73 Trunk 127.4(199.9)0.5 10.3(2.0)<0.01 0.29 649.50 586.90 Branch -227.8(70.5)<0.01 5.4(0.7)<0.01 0.48 229.04 212.20 Leaf -43.8(10.6)<0.01 1.0(0.1)<0.01 0.56 34.39 32.69

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Appendix 6. Table. Allometric equations following the linear model for biomass components of 0.5 x 7.5 m alley rows of Erythrina berteroana 6 months post pollarding to a height of 2 m. Where (x) is the root collar diameter (RCD mm, 0.05 m), or RCD and Height (cm) as predictors of biomass. (y) is the log transformation of total biomass (g), trunk biomass (g), branch biomass (g) or leaf biomass (g), b0 as the intercept 2 coefficient, b1 and b2 as the slope coefficient, both reported with standard error (S.E.) and significance (P). Coefficient of determination (R ), root mean square error of model (Model RMSE, which is the same as Furnival’s Index F.I. for untransformed data) and results of K-fold model cross validation (k=10) reported as root mean squared error (CV RMSE).

(y) MODEL 2 (x) Biomass b0 (S.E.) P b1 (S.E.) P b2 (S.E.) P R RMSE (F.I.) CV RMSE RCD + HEIGHT Total -2,138.7(464.9)<0.01 25.2(4.5)<0.01 8.4(2.1)<0.01 0.51 670.39 625.55 Trunk -1,485.3(413.3)<0.01 14.8(4.0)<0.01 7.1(1.9)<0.01 0.39 595.98 554.43 Branch -513.8(171.6)<0.01 9.3(1.7)<0.01 0.8(0.8)0.3 0.37 247.40 225.83 Leaf -139.6(26.3)<0.01 1.1(0.3)<0.01 0.5(0.1)<0.01 0.45 37.99 38.66

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Appendix 7. Table. Allometric equations following the linear model for biomass components of 0.5 x 7.5 m alley rows of Inga edulis 6 months post pollarding to a height of 2 m. Where (x) is the measurement used a predictor of biomass: Root collar diameter (RCD mm, 0.05 m), diameter at breast height (DBH mm, 1.3 m), stump diameter (SD mm, 0.3 m), crown volume (CV cm3) and crown diameter (CD cm), (y) is the log transformation of total biomass (g), trunk biomass (g), branch biomass (g) or leaf biomass (g), b0 as the intercept coefficient, b1 as the slope coefficient, both reported with standard error (S.E.) and significance (P). Coefficient of determination (R2), root mean square error of model (Model RMSE, which is the same as Furnival’s Index for untransformed data) and results of K-fold model cross validation (k=10) reported as root mean squared error (CV RMSE).

(y) MODEL CV 2 (x) Biomass b0 (S.E.) P b1 (S.E.) P R RMSE (F.I.) RMSE RCD Total -931.6(332.5)<0.01 47.7(4.8)<0.01 0.56 956.09 954.3 Trunk -415.5(185.5)0.03 26.6(2.7)<0.01 0.56 533.50 510.3 Branch -351.0(168.8)0.04 13.8(2.4)<0.01 0.29 485.25 474.5 Leaf -165.1(98.8)0.1 7.3(1.4)<0.01 0.25 283.99 279.8 DBH Total 1,100.2(398.9)<0.01 31.9(10.7)<0.01 0.1 1360.22 1348.4 Trunk 662.7(220.1)<0.01 19.3(5.9)<0.01 0.12 750.59 756.8 Branch 216.0(163.7)0.2 9.8(4.4)0.03 0.06 558.17 552.4 Leaf 221.4(95.5)0.02 2.7(2.6)0.3 0.01 325.59 317.5 SD Total -1,054.7(345.0)<0.01 64.3(6.5)<0.01 0.55 957.32 957 Trunk -571.1(180.4)<0.01 37.6(3.4)<0.01 0.61 500.51 484.4 Branch -380.8(175.4)0.03 18.5(3.3)<0.01 0.29 486.68 473.4 Leaf -102.8(107.3)0.34 8.3(2.0)<0.01 0.17 297.86 291.3 CV Total 1.529e+03 (1.940e+02)<0.01 2.162e-04 (4.332e-05)<0.01 0.24 1250.69 1257.4 Trunk 1.001e+03 (1.120e+02)<0.01 1.057e-04 (2.502e-05)<0.01 0.18 722.35 733.2 Branch 3.357e+02 (8.180e+01)<0.01 7.102e-05( 1.827e-05)<0.01 0.16 527.37 525.7 Leaf 1.923e+02 (4.679e+01)<0.01 3.951e-05(1.045e-05)<0.01 0.15 301.68 293.2 CD Total 600.5(350.5)0.09 10.7(2.2)<0.01 0.24 1251.90 1291.8 Trunk 553.2(202.7)<0.01 5.2(1.3)<0.01 0.18 724.05 750.8 Branch 26.4(147.5)0.9 3.6(0.9)<0.01 0.16 526.87 534.5 Leaf 20.9(84.4)0.9 2.0(0.5)<0.01 0.15 301.56 303.5

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Appendix 8. Table. Allometric equations following the linear model for biomass components of 0.5 x 7.5 m alley rows of Inga edulis 6 months post pollarding to a height of 2 m. Where (x) is the root collar diameter (RCD mm, 0.05 m), or RCD and Height (cm) as predictors of biomass, (y) is the log transformation of total biomass (g), trunk biomass (g), branch biomass (g) or leaf biomass (g). b0 as the intercept coefficient, b1 and b2 as the slope coefficient, both reported with standard error (S.E.) and significance (P). Coefficient of determination (R2), root mean square error of model (Model RMSE, which is the same as Furnival’s Index F.I. for untransformed data) and results of K-fold model cross validation (k=10) reported as root mean squared error (CV RMSE).

MODEL CV 2 (x) (y) Biomass b0 (S.E.) P b1 (S.E.) P b2 (S.E.) P R RMSE (F.I.) RMSE RCD + HEIGHT Total -2,139.6(531.7)<0.01 41.9(5.0)<0.01 6.5(2.3)<0.01 0.6 910.26 922.6 Trunk -996.0(300.6)<0.01 23.8(2.8)<0.01 3.1(1.3)0.02 0.59 514.65 506.3 Branch -718.5(278.7)0.01 12.1(2.6)<0.01 2.0(1.2)0.1 0.31 477.03 473.3 Leaf -425.1(161.8)0.01 6.1(1.5)<0.01 1.4(0.7)<0.05 0.29 276.93 276.9

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Appendix 9. Table. Allometric equations following the linear model for biomass components of 0.5 x 7.5 m alley rows of Leucaena leucocephala 6 months post pollarding to a height of 2 m. Where (x) is the measurement used as predictor of biomass: Root collar diameter (RCD mm, 0.05 m), diameter at breast height (DBH mm, 1.3 m), stump diameter (SD mm, 0.3 m), crown volume (CV cm3) and crown diameter (CD cm), (y) is the log transformation of total biomass (g), trunk biomass (g), branch biomass (g) or leaf biomass (g), b0 as the intercept coefficient, b1 as the slope coefficient, both reported with standard error (S.E.) and significance (P). Coefficient of determination (R2), root mean square error of model (Model RMSE, which is the same as Furnival’s Index for untransformed data) and results of K-fold model cross validation (k=10) reported as root mean squared error (CV RMSE).

2 (x) (y) Biomass b0 (S.E.) P b1 (S.E.) P R MODEL RMSE (F.I.) CV RMSE RCD Total 774.8(146.0)<0.01 46.3(3.2)<0.01 0.78 320.3 311.1 Trunk -685.9(95.9)<0.01 39.6(2.1)<0.01 0.85 210.4 198.9 Branch -55.7(94.4)0.6 5.2(2.1)0.02 0.09 207.1 178.2 Leaf .-33.250(14.4)0.02 1.4(0.3)<0.01 0.26 31.6 29.4 DBH Total 285.7(196.3)0.2 43.8(8.2)<0.01 0.32 558.6 545.8 Trunk 178.3(151.7)0.3 39.5(6.4)<0.01 0.39 431.7 415.2 Branch 109.8(76.0)0.2 2.8(3.2)0.4 0.01 216.2 189.9 Leaf -2.4(12.1)0.9 1.5(0.5)<0.01 0.12 34.4 32.3 SD Total -390.7(190.7)<0.05 47.2(5.2)<0.01 0.57 441.5 411.9 Trunk -447.3(127.1)<0.01 43.0(3.5)<0.01 0.71 294.4 279.8 Branch 76.5(93.1)0.4 2.7(2.5)0.3 0.02 215.6 189.1 Leaf -19.9(14.4)0.2 1.4(0.4)<0.01 0.18 33.2 30.5 CV Total 953.2(95.3)<0.01 0.0(0.0)<0.01 0.28 571.9 562.4 Trunk 837.7(81.2)<0.01 0.0(0.0)<0.01 0.22 487.6 471.2 Branch 104.9(33.8)<0.01 0.0(0.0)<0.01 0.13 202.6 177.2 Leaf 10.6(4.7)0.03 0.0(0.0)<0.01 0.40 28.4 25.7 CD Total 282.8(149.0)0.06 10.0(1.4)<0.01 0.46 496.0 474.3 Trunk 424.9(139.5)<0.01 6.5(1.3)<0.01 0.29 464.6 439.1 Branch -115.9(51.2)0.03 3.0(0.5)<0.01 0.39 170.3 161.7 Leaf -26.2(7.6)<0.01 0.6(0.1)<0.01 0.52 25.3 23.1

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Appendix 10. Table. Allometric equations following the linear model for biomass components of 0.5 x 7.5 m alley rows of Leucaena leucocephala 6 months post pollarding to a height of 2 m. Where (x) is the root collar diameter (RCD mm, 0.05 m), or RCD and Height (cm) as predictors of biomass, (y) is the log transformation of total biomass (g), trunk biomass (g), branch biomass (g) or leaf biomass (g). b0 as the intercept 2 coefficient, b1 and b2 as the slope coefficient, both reported with standard error (S.E.) and significance (P). Coefficient of determination (R ), root mean square error of model (Model RMSE, which is the same as Furnival’s Index F.I. for untransformed data) and results of K-fold model cross validation (k=10) reported as root mean squared error (CV RMSE).

MODEL CV 2 (x) (y) Biomass b0 (S.E.) P b1 (S.E.) P b2 (S.E.) P R RMSE (F.I.) RMSE RCD + HEIGHT Total -1,209.0(188.1)<0.01 41.7(3.3)<0.01 2.2(0.7)<0.01 0.81 296.9 283.9 Trunk -908.3(127.9)<0.01 37.3(2.2)<0.01 1.1(0.4)0.02 0.87 201.9 192.7 Branch -215.4(129.0)0.1 3.5(2.2)0.1 0.8(0.4)0.08 0.14 203.5 170.9 Leaf -85.2(17.8)<0.01 0.9(0.3)<0.01 0.3(0.1)<0.01 0.43 28.0 25.5

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Appendix 11. Table. Allometric equations following a quadratic model for biomass components of 0.5 x 7.5 m alley rows of Erythrina berteroana 6 months post pollarding to a height of 2 m. Where (x) is the measurement used as a predictor of biomass: Root collar diameter (RCD mm, 0.05 m), diameter at breast height (DBH mm, 1.3 m), stump diameter (SD mm, 0.3 m), crown volume (CV, cm3) and crown diameter (CD cm), (y) is the log transformation of total biomass (g), trunk biomass (g), branch biomass (g) or leaf biomass (g), b0 as the intercept coefficient, b1 as the slope coefficient, both reported with standard error (S.E.) and significance (P). Coefficient of determination (R2), root mean square error of model (Model RMSE, which is the same as Furnival’s Index for untransformed data) and results of K-fold model cross validation (k=10) reported as root mean squared error (CV RMSE).

MODEL RMSE 2 (x) (y) Biomass b0 (S.E.) P b1 (S.E.) P b2 (S.E.) P R (F.I.) CV RMSE RCD Total 1,405.2(15.1)<0.01 5,173.0(6.8)<0.01 158.8(0.2)0.8 0.39 748.5 726.3 Trunk 1,084.3(13.3)<0.01 3,315.9(4.9)<0.01 -251.4(-0.4)0.7 0.25 658.5 638.0 Branch 276.1(9.1)<0.01 1,620.2(6.5)<0.01 414.5(1.7)0.1 0.39 244.3 215.1 Leaf 44.9(8.4)<0.01 236.9(5.4)<0.01 -4.3(-0.1)0.9 0.29 43.1 44.5 DBH Total 1,405.2(14.2)<0.01 4,450.7(5.5)<0.01 -1,409.8(-1.7)0.09 0.32 796.0 765.4 Trunk 1,084.3(13.6)<0.01 3,471.3(5.3)<0.01 -449.7(-0.7)0.5 0.28 645.0 600.0 Branch 276.1(7.8)<0.01 771.1(2.6)0.01 -859.1(-2.9)<0.01 0.17 285.0 260.4 Leaf 44.9(8.3)<0.01 208.4(4.7)<0.01 -101.0(-2.3)0.03 0.27 43.5 42.1 SD Total 1,405.2(14.1)<0.01 4,592.7(5.6)<0.01 -245.9(-0.3)0.8 0.31 801.9 771.5 Trunk 1,084.3(14.0)<0.01 3,729.0(5.8)<0.01 124.7(0.2)0.8 0.32 625.7 604.8 Branch 276.1(7.3)<0.01 647.6(2.1)0.04 -403.7(-1.3)0.2 0.06 303.7 272.0 Leaf 44.9(8.1)<0.01 216.1(4.7)<0.01 33.1(0.7)0.5 0.26 44.5 45.5 CV Total 1,405.2(17.0)<0.01 5,875.5(8.6)<0.01 -124.6(-0.2)0.9 0.52 668.0 645.6 Trunk 1,084.2(14.1)<0.01 3,760.6(5.9)<0.01 -294.5(-0.5)0.6 0.33 622.0 574.8 Branch 276.1(9.4)<0.01 1,747.8(7.2)<0.01 97.5(0.4)0.7 0.43 236.1 246.7 Leaf 44.9(14.5)<0.01 367.1(14.4)<0.01 72.5(2.8)<0.01 0.76 24.9 24.8

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Appendix 12. Table. Allometric equations following the quadratic model for biomass components of 0.5 x 7.5 m alley rows of Erythrina berteroana 6 months post pollarding to a height of 2 m. Where (x) is the root collar diameter (RCD mm, 0.05 m), or RCD and Height (cm) as predictors of biomass, (y) is the log transformation of total biomass (g), trunk biomass (g), branch biomass (g) or leaf biomass (g). b0 as the intercept 2 coefficient, b1 and b2 as the slope coefficient, both reported with standard error (S.E.) and significance (P). Coefficient of determination (R ), root mean square error of model (Model RMSE, which is the same as Furnival’s Index F.I. for untransformed data) and results of K-fold model cross validation (k=10) reported as root mean squared error (CV RMSE). MODEL (y) RMSE CV 2 (x) Biomass b0 (S.E.) P b1 (S.E.) P b2 (S.E.) P b3 (S.E.) P b4 (S.E.) P R (F.I.) RMSE RCD + HEIGHT Total 522.7(0.8)0.4 276.1(9.3)<0.01 1,468.6(5.5)<0.01 496.5(2.0)0.05 373.8(1.4)0.2 0.52 653.8 638.5 Trunk 366.8(1.5)0.1 44.9(11.0)<0.01 160.9(4.5)<0.01 35.8(1.1)0.3 189.4(5.2)<0.01 0.37 592.4 572.9 Branch 164.3(4.9)<0.01 0.20(14.52)<0.01 0.35(3.12)<0.01 0.02(0.18)0.9 0.16(11.75)<0.01 0.41 236.8 220.5 Leaf 0.19(1.71).0.9 -0.01(-0.11)0.9 0.04(10.44)<0.01 0.14(4.95)<0.01 0.03(1.20)0.2 0.59 32.3 34.7

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Appendix 13. Table. Allometric equations following a quadratic model for biomass components of 0.5 x 7.5 m alley rows of Inga edulis 6 months post pollarding to a height of 2 m. Where (x) is the measurement used as a predictor of biomass: Root collar diameter (RCD mm, 0.05 m), diameter at breast height (DBH mm, 1.3 m), stump diameter (SD mm, 0.3 m), crown volume (CV, cm3) and crown diameter (CD cm), (y) is the log transformation of total biomass (g), trunk biomass (g), branch biomass (g) or leaf biomass (g), b0 as the intercept coefficient, b1 as the slope coefficient, both reported with standard error (S.E.) and significance (P). Coefficient of determination (R2), root mean square error of model (Model RMSE, which is the same as Furnival’s Index for untransformed data) and results of K-fold model cross validation (k=10) reported as root mean squared error (CV RMSE). MODEL RMSE 2 (x) (y) Biomass b0 (S.E.) P b1 (S.E.) P b2 (S.E.) P R (F.I.) CV RMSE RCD Total 2,195.7(107.9)<0.01 9,623.1(971.1)<0.01 -699.9(971.1)0.5 0.55 952.9 981.9 Trunk 1,327.0(60.3)<0.01 5,362.0(542.9)<0.01 -253.7(542.9)0.6 0.54 493.4 529.1 Branch 554.6(54.8)<0.01 2,786.7(493.0)<0.01 -339.3(493.0)0.5 0.28 462.7 482.1 Leaf 314.1(32.1)<0.01 1,474.4(289.2)<0.01 -106.8(289.2)0.7 0.23 275.4 288.2 DBH Total 2,195.7(137.9)<0.01 4,096.6(1,241.4)<0.01 5,446.4(1,241.4)<0.01 0.26 1218.2 1,208.0 Trunk 1,327.0(73.1)<0.01 2,484.0(657.8)<0.01 -3,447.2(657.8)<0.01 0.33 645.5 634.7 Branch 554.6(60.5)<0.01 1,266.1(544.1)0.02 -1,464.4(544.1)<0.01 0.12 533.9 543.5 Leaf 314.1(36.3)<0.01 346.5(326.2)0.3 -534.8(326.2)0.1 0.02 320.1 318.2 SD Total 2,195.7(105.6)<0.01 9,613.2(950.1)<0.01 1,954.8(950.1)0.04 0.57 932.4 938.2 Trunk 1,327.0(55.6)<0.01 5,613.7(500.0)<0.01 889.5(500.0)0.08 0.61 490.7 487.0 Branch 554.6(54.3)<0.01 2,766.4(489.0)<0.01 731.3(489.0)0.1 0.29 479.9 467.0 Leaf 314.1(33.5)<0.01 1,233.1(301.2)<0.01 334.0(301.2)0.3 0.17 295.5 296.2 CV Total 2,195.7(114.8)<0.01 6,320.2(1,033.4)<0.01 6,588.3(1,033.4)<0.01 0.49 1014.1 1,050.5 Trunk 1,327.0(70.6)<0.01 3,088.7(635.5)<0.01 -3,280.8(635.5)<0.01 0.38 623.6 634.7 Branch 554.6(54.0)<0.01 2,076.3(485.6)<0.01 -2,033.5(485.6)<0.01 0.30 476.5 484.8 Leaf 314.1(30.2)<0.01 1,155.2(271.5)<0.01 -1,274.1(271.5)<0.01 0.32 266.4 270.9 CD Total 2,195.7(119.5)<0.01 6,300.7(1,075.8)<0.01 6,056.0(1,075.8)<0.01 0.44 1055.7 1,223.3 Trunk 1,327.0(72.6)<0.01 3,056.3(653.6)<0.01 -3,023.2(653.6)<0.01 0.34 641.4 774.8 Branch 554.6(54.1)<0.01 2,086.5(487.0)<0.01 -1,997.3(487.0)<0.01 0.29 477.9 540.2 Leaf 314.1(31.6)<0.01 1,157.9(284.1)<0.01 -1,035.4(284.1)<0.01 0.26 278.8 320.3

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Appendix 14. Table. Allometric equations following the quadratic model for biomass components of 0.5 x 7.5 m alley rows of Inga edulis 6 months post pollarding to a height of 2 m. Where (x) is the root collar diameter (RCD mm, 0.05 m), or RCD and Height (cm) as predictors of biomass, (y) is the log transformation of total biomass (g), trunk biomass (g), branch biomass (g) or leaf biomass (g). b0 as the intercept 2 coefficient, b1 and b2 as the slope coefficient, both reported with standard error (S.E.) and significance (P). Coefficient of determination (R ), root mean square error of model (Model RMSE, which is the same as Furnival’s Index F.I. for untransformed data) and results of K-fold model cross validation (k=10) reported as root mean squared error (CV RMSE).

MODEL (y) RMSE CV 2 (x) Biomass b0 (S.E.) P b1 (S.E.) P b2 (S.E.) P b3 (S.E.) P b4 (S.E.) P R (F.I.) RMSE RCD + HEIGHT Total 2,195.7(100.6)<0.01 8,336.5(992.2)<0.01 -853.7(906.6)0.3 2,956.2(991.8)<0.01 2,040.0(906.9)0.03 0.61 877.2 904.6 Trunk 1,327.0(56.6)<0.01 4,729.4(558.0)<0.02 -336.0(509.9)0.5 1,423.9(557.8)0.01 1,286.0(510.1)0.02 0.60 493.4 493.8 Branch 554.6(53.1)<0.01 2,375.0(523.3)<0.03 -396.2(478.2)0.4 912.1(523.2)0.09 978.3(478.4)0.04 0.32 462.7 468.0 Leaf 314.1(31.6)<0.01 1,232.1(311.5)<0.04 -121.5(284.7)0.7 620.2(311.4)0.05 620.2(311.4)0.05 0.26 275.4 299.3

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Appendix 15. Table. Allometric equations following a quadratic model for biomass components of 0.5 x 7.5 m alley rows of Leucaena leucocephala 6 months post pollarding to a height of 2 m. Where (x) is the measurement used as a predictor of biomass: Root collar diameter (RCD mm, 0.05 m), diameter at breast height (DBH mm, 1.3 m), stump diameter (SD mm, 0.3 m), crown volume (CV cm3) and crown diameter (CD cm), (y) is the log transformation of total biomass (g), trunk biomass (g), branch biomass (g) or leaf biomass (g), b0 as the intercept 2 coefficient, b1 as the slope coefficient, both reported with standard error (S.E.) and significance (P). Coefficient of determination (R ), root mean square error of model (Model RMSE, which is the same as Furnival’s Index for untransformed data) and results of K-fold model cross validation (k=10) reported as root mean squared error (CV RMSE).

MODEL RMSE 2 (x) (y) Biomass b0 (S.E.) P b1 (S.E.) P b2 (S.E.) P R (F.I.) CV RMSE RCD Total 1,259.5(40.6)<0.01 4,645.9(322.4)<0.01 148.8(322.4)0.6 0.77 314.6 313.6 Trunk 1,056.5(26.3)<0.01 3,979.3(208.8)<0.01 289.2(208.8)0.2 0.85 203.8 199.0 Branch 172.6(26.2)<0.01 521.3(208.1)0.02 -137.1(208.1)0.5 0.07 203.1 178.8 Leaf 30.4(4.0)<0.01 145.3(31.9)<0.01 -3.3(31.9)0.9 0.23 31.1 29.7 DBH Total 1,259.5(70.7)<0.01 2,968.3(561.3)<0.01 -362.0(561.3)0.5 0.30 547.7 552.9 Trunk 1,056.5(54.2)<0.01 2,677.0(429.9)<0.01 -530.3(429.9)0.2 0.38 419.5 413.3 Branch 172.6(27.4)<0.01 191.3(217.3)0.4 136.2(217.3)0.5 -0.01 212.1 192.5 Leaf 30.4(4.3)<0.01 100.1(34.4)<0.01 32.1(34.4)0.4 0.11 33.6 33.5 SD Total 1,259.5(50.5)<0.01 3,994.2(400.9)<0.01 1,498.8(400.9)<0.01 0.64 391.2 409.7 Trunk 1,056.5(35.1)<0.01 3,639.9(278.3)<0.01 798.3(278.3)<0.01 0.74 271.6 269.2 Branch 172.6(25.1)<0.01 232.6(199.3)0.2 672.2(199.3)<0.01 0.15 194.5 204.5 Leaf 30.4(4.2)<0.01 121.7(33.3)<0.01 28.3(33.3)0.4 0.16 32.5 31.4 CV Total 1,259.4(63.9)<0.01 2,809.7(507.5)<0.01 2,119.9(507.5)<0.01 0.43 495.3 498.9 Trunk 1,056.5(57.9)<0.01 2,007.5(459.5)<0.01 1,355.8(459.5)<0.01 0.29 448.4 444.3 Branch 172.5(23.2)<0.01 620.7(183.7)<0.01 -691.8(183.7)<0.01 0.28 179.3 170.4 Leaf 30.4(3.4)<0.01 181.4(27.1)<0.01 -72.3(27.1)<0.01 0.45 26.4 24.5 CD Total 1,259.5(61.3)<0.01 3,582.4(486.4)<0.01 -902.8(486.4)0.07 0.47 474.7 470.4 Trunk 1,056.5(55.3)<0.01 2,316.9(438.8)<0.01 1,270.4(438.8)<0.01 0.36 428.2 427.6 Branch 172.6(20.9)<0.01 1,057.9(165.6)<0.01 351.8(165.6)0.04 0.41 161.7 169.9 Leaf 30.4(3.2)<0.01 207.6(25.4)<0.01 15.9(25.4)0.5 0.51 24.8 24.5

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Appendix 16. Table. Allometric equations following the quadratic model for biomass components of 0.5 x 7.5 m alley rows of Leucaena leucocephala 6 months post pollarding to a height of 2 m. Where (x) is the root collar diameter (RCD mm, 0.05 m), or RCD and Height (cm) as predictors of biomass, (y) is the log transformation of total biomass (g), trunk biomass (g), branch biomass (g) or leaf biomass (g). b0 as the intercept coefficient, b1 and b2 as the slope coefficient, both reported with standard error (S.E.) and significance (P). Coefficient of determination (R2), root mean square error of model (Model RMSE, which is the same as Furnival’s Index F.I. for untransformed data) and results of K-fold model cross validation (k=10) reported as root mean squared error (CV RMSE).

MODEL RMSE CV 2 (x) (y) Biomass b0 (S.E.) P b1 (S.E.) P b2 (S.E.) P b3 (S.E.) P b4 (S.E.) P R (F.I.) RMSE RCD + HEIGHT Total 1,259.5(34.6)<0.01 4,300.9(12.9)<0.01 358.4(1.2)0.2 1,111.7(3.4)<0.01 561.6(1.9)0.07 0.81 314.6 284.2 Trunk 1,056.5(42.8)<0.01 3,757.6(16.7)<0.01 412.2(2.0)0.05 635.3(2.8)<0.01 214.1(1.1)0.3 0.87 188.2 194.0 Branch 172.6(6.7)<0.01 444.9(1.9)0.06 -76.1(-0.4)0.7 345.1(1.5)0.1 308.1(1.5)0.1 0.11 194.9 170.3 Leaf 30.4(8.6)<0.01 98.4(3.1)<0.01 22.3(0.8)0.4 131.3(4.1)<0.01 39.4(1.4)0.2 0.41 26.8 25.3

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Appendix 17. Table. Allometric equations following the log-linear model for biomass components of 0.5 x 7.5 m alley rows of Erythrina berteroana 6 months post pollarding to a height of 2 m. Where ln(x) is the log transformation of the following measurements used as predictors of biomass: Root collar diameter (RCD mm, 0.05 m), diameter at breast height (DBH mm, 1.3 m), stump diameter (SD mm, 0.3 m), crown volume (CV cm3) and crown diameter (CD cm) ln(y) is the log transformation of total biomass (g), trunk biomass (g), branch biomass (g) or leaf biomass (g). b0 as the intercept coefficient, b1 as the slope coefficient, both reported with standard error (S.E.) and significance (P). Coefficient of determination (R2), lambda (λ) and standard deviation (S.D.) as back transformation according to Marklund (1987), Furnival’s Index (F.I.) according to Kershaw et al. (2016), root mean square error of model (Model RMSE) and results of K-fold model cross validation (k=10) reported as root mean squared error (CV RMSE). ln(y) MODEL CV 2 ln(x) Biomass b0 (S.E.) P b1 (S.E.) P R λ S.D F.I. RMSE RMSE RCD Total -2.12 (0.72) 0.0045 2.19 (0.18) <0.001 0.68 1.24 1.33 585.4 0.54 0.46 Trunk -2.09 (0.76) 0.007 2.12 (0.19) <0.001 0.65 1.28 1.66 465.3 0.55 0.39 Branch -5.87 (1.30) <0.001 2.64 (0.32) <0.001 0.50 1.42 1.23 140.0 0.92 1.51 Leaf -8.80 (1.56) <0.001 2.86 (0.38) <0.001 0.44 1.70 1.78 25.6 1.19 1.20 DBH Total 2.40 (0.58) <0.001 1.52 (0.19) <0.001 0.49 1.36 0.75 608.0 0.56 0.57 Trunk 2.27 (0.56) <0.001 1.48 (0.18) <0.001 0.49 1.21 1.03 455.9 0.54 0.55 Branch -0.18 (1.08) 0.87 1.73 (0.36) <0.001 0.26 1.57 1.47 158.2 1.03 1.07 Leaf -3.52 (1.26) 0.007 2.19 (0.42) <0.001 0.29 1.67 1.52 25.9 1.21 1.25 SD Total -0.58 (0.67) 0.39 1.95 (0.17) <0.001 0.64 1.43 0.98 596.4 0.55 0.54 Trunk -0.96 (0.63) 0.13 1.98 (0.16) <0.001 0.67 1.21 1.15 433.6 0.51 0.39 Branch -2.21 (1.28) 0.09 1.87 (0.33) <0.001 0.31 1.69 2.05 163.5 1.07 1.62 Leaf -6.84 (1.37) <0.001 2.55 (0.36) <0.001 0.42 1.89 2.48 26.2 1.22 1.25 CV Total -0.32 (0.56) 0.57 0.55 (0.04) <0.001 0.70 1.30 0.86 579.1 0.53 0.55 Trunk -0.25 (0.60) 0.68 0.52 (0.05) <0.001 0.65 1.28 1.11 471.3 0.55 0.59 Branch -4.22 (0.91) <0.001 0.70 (0.07) <0.001 0.59 1.42 1.29 130.8 0.85 0.90 Leaf -7.60 (1.08) <0.001 0.81 (0.08) <0.001 0.57 1.53 1.99 22.6 1.05 1.07 CD Total 0.57 (0.50) 0.25 1.44 (0.11) <0.001 0.70 1.18 0.23 565.1 0.52 0.55 Trunk 0.76 (0.56) 0.18 1.33 (0.13) <0.001 0.62 1.29 1.44 478.9 0.56 0.63 Branch -3.99 (0.65) <0.001 2.04 (0.15) <0.001 0.73 0.25 0.19 104.8 0.68 0.74 Leaf -7.06 (1.07) <0.001 2.28 (0.24) <0.001 0.58 1.49 1.36 20.1 0.94 0.93

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Appendix 18. Table. Allometric equations following the log-linear model for biomass components of 0.5 x 7.5 m alley rows of Erythrina berteroana 6 months post pollarding to a height of 2 m. Where ln(x) is the log transformation of root collar diameter (RCD mm, 0.05 m), or RCD and Height (cm) as predictors of biomass. ln(y) is the log transformation of total biomass (g), trunk biomass (g), branch biomass (g) or leaf biomass (g). b0 as the intercept coefficient, b1 as the slope coefficient, both reported with standard error (S.E.) and significance (P). Coefficient of determination (R2), lambda (λ) and standard deviation (S.D.) as back transformation according to Marklund (1987), Furnival’s Index (F.I.) according to Kershaw et al. (2016), root mean square error of model (Model RMSE) and results of K-fold model cross validation (k=10) reported as root mean squared error (CV RMSE).

ln(y) Model CV 2 ln(x) (Biomass) b0 (S.E.) P b1 (S.E.) P b2 (S.E.) P R λ S.D F.I. RMSE RMSE RCD + Height Total -6.41 (1.02) <0.001 1.53 (0.2) <0.001 1.31 (0.25) <0.001 0.77 1.12 0.83 523.2 0.47 0.49 Trunk -6.91 (1.03) <0.001 1.38 (1.38) <0.001 1.47 (0.25) <0.001 0.76 1.13 0.94 409.5 0.48 0.50 Branch -7.40 (2.99) <0.001 2.4 (0.4) <0.001 0.44 (0.59) 0.46 0.41 1.66 1.47 140.5 0.91 0.96 Leaf -14.50 (2.46) <0.001 1.98 ( 0.47) <0.001 1.74 (0.6) 0.005 0.49 1.58 1.49 24.1 1.12 1.17

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Appendix 19. Table. Allometric equations following the log-linear model for biomass components of 0.5 x 7.5 m alley rows of Inga edulis 6 months post pollarding to a height of 2 m. Where ln(x) is the log transformation of the following measurements used as predictors of biomass: Root collar diameter (RCD mm, 0.05 m), diameter at breast height (DBH mm, 1.3 m), stump diameter (SD mm, 0.3 m), crown volume (CV cm3) and crown diameter (CD cm) ln(y) is the log transformation of total biomass(g), trunk biomass (g), branch biomass (g) or leaf biomass (g). b0 as the intercept coefficient, b1 as the slope coefficient, both reported with standard error (S.E.) and significance (P). Coefficient of determination (R2), lambda (λ) and standard deviation (S.D.) as back transformation according to Marklund (1987), Furnival’s Index (F.I.) according to Kershaw et al. (2016), root mean square error of model (Model RMSE) and results of K-fold model cross validation (k=10) reported as root mean squared error (CV RMSE).

ln(y) Model CV 2 ln(x) (Biomass) b0 (S.E.) P b1 (S.E.) P R λ S.D. F.I. RMSE RMSE RCD Total 0.56 (0.51) 0.28 1.68 (0.12) <0.001 0.70 1.07 0.54 759.2 0.44 0.46 Trunk 0.95 (0.43) 0.03 1.47 (0.10) <0.001 0.71 1.07 0.56 409.6 0.38 0.39 Branch -8.89 (1.67) <0.001 3.45 (0.40) <0.001 0.48 2.37 4.64 287.9 1.45 1.51 Leaf -6.47 (1.33) <0.001 2.78 (0.32) <0.001 0.48 2.19 6.52 169.1 1.16 1.20 DBH Total 3.78 (0.71) <0.001 1.06 (0.20) <0.001 0.25 1.21 0.72 1192.5 0.70 0.72 Trunk 3.39 (0.59) <0.001 1.03 (0.17) <0.001 0.32 1.20 0.66 629.3 0.58 0.60 Branch -2.31 (1.86) 0.22 2.19 (0.53) <0.001 0.18 2.65 2.83 362.3 1.82 1.87 Leaf -0.31 (1.53) 0.84 1.53 (0.44) <0.001 0.13 2.27 3.47 219.2 1.50 1.55 SD Total 0.95 (0.62) 0.13 1.68 (0.16) <0.001 0.59 2.56 1.34 888.9 0.52 0.54 Trunk 0.78 (0.45) 0.08 1.60 (0.12) <0.001 0.71 1.12 0.65 411.0 0.38 0.39 Branch -7.83 (1.86) <0.001 3.40 (0.48) <0.001 0.39 2.56 4.61 312.3 1.57 1.62 Leaf -4.88 (1.56) <0.01 2.55 (0.40) <0.001 0.34 2.61 8.16 191.4 1.31 1.37 CV Total 0.84 (0.96) 0.38 0.46 (0.06) <0.001 0.37 1.13 0.60 1092.0 0.64 0.66 Trunk 1.62 (0.86) 0.06 0.37 (0.06) <0.001 0.33 1.18 0.64 626.3 0.57 0.59 Branch -9.32 (2.53) <0.001 1.01 (0.18) <0.001 0.30 2.81 5.14 334.6 1.68 1.73 Leaf -9.30 (1.81) <0.001 0.99 (0.13) <0.001 0.44 1.93 3.83 176.1 1.21 1.26 CD Total 1.83 (0.78) 0.02 1.14 (0.16) <0.001 0.40 1.18 0.62 1070.2 0.63 0.66 Trunk 2.47 (0.70) <0.001 0.92 (0.14) <0.001 0.34 1.16 0.65 619.3 0.57 0.59 Branch -8.63 (1.93) <0.001 2.83 (0.39) <0.001 0.40 2.33 3.57 309.7 1.56 1.62 Leaf -7.14 (1.46) <0.001 2.47 (0.27) <0.001 0.47 2.04 5.29 171.8 1.18 1.24

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Appendix 20. Table. Allometric equations following the log-linear model for biomass components of 0.5 x 7.5 m alley rows of Inga edulis 6 months post pollarding to a height of 2 m. Where ln(x) is the log transformation of root collar diameter (RCD mm, 0.05 m), or RCD and Height (cm) as predictors of biomass. ln(y) is the log transformation of total biomass(g), trunk biomass (g), branch biomass (g) or leaf biomass (g). b0 as 2 the intercept coefficient, b1 as the slope coefficient, both reported with standard error (S.E.) and significance (P). Coefficient of determination (R ), lambda (λ) and standard deviation (S.D.) as back transformation according to Marklund (1987), Furnival’s Index (F.I.) according to Kershaw et al. (2016), root mean square error of model (Model RMSE) and results of K-fold model cross validation (k=10) reported as root mean squared error (CV RMSE).

ln(y) Model CV 2 ln(x) (Biomass) b0 (S.E.) P b1 (S.E.) P b2 R λ S.D. F.I. RMSE RMSE RCD + Height Total -0.27 (1.26) 0.83 1.64 (0.13) <0.001 0.17 (0.24) 0.71 0.69 1.14 0.57 761.1 0.44 0.46 Trunk 0.49 (1.07) 0.65 1.45 (0.11) <0.001 0.1 (0.20) 0.64 0.71 1.06 0.56 409.6 0.37 0.40 Branch -8.96 (4.14) 0.03 3.45 (0.43) <0.001 0.01 (0.8) 0.99 0.47 2.41 4.72 287.9 1.45 1.52 Leaf -10.24 (3.28) <0.01 2.64 (0.34) <0.001 0.8 (0.64) 0.21 0.48 2.03 5.63 169.1 1.15 1.20

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Appendix 21. Table. Allometric equations following the log-linear model for biomass components of 0.5 x 7.5 m alley rows of Leucaena leucocephala 6 months post pollarding to a height of 2 m. Where ln(x) is the log transformation of the following measurements used as predictors of biomass: Root collar diameter (RCD mm, 0.05 m), diameter at breast height (DBH mm, 1.3 m), stump diameter (SD mm, 0.3 m), crown volume (CV cm3) and crown diameter (CD cm) ln(y) is the log transformation of total biomass(g), trunk biomass (g), branch biomass (g) or leaf biomass (g). b0 as the intercept coefficient, b1 as the slope coefficient, both reported with standard error (S.E.) and significance (P). Coefficient of determination (R2), lambda (λ) and standard deviation (S.D.) as back transformation according to Marklund (1987), Furnival’s Index (F.I.) according to Kershaw et al. (2016), root mean square error of model (Model RMSE) and results of K-fold model cross validation (k=10) reported as root mean squared error (CV RMSE).

ln(y) Model CV 2 ln(x) (Biomass) b0 (S.E.) P b1 (S.E.) P R λ S.D. F.I. RMSE RMSE RCD Total -0.19 (0.42) 0.66 1.91 (0.11) <0.001 0.82 1.05 0.30 292.6 0.27 0.28 Trunk -0.20 (0.35) 0.57 1.87 (0.09) <0.001 0.87 1.03 0.23 203.6 0.22 0.23 Branch -7.63 (2.17) <0.001 3.17 (0.58) <0.001 0.33 2.35 3.51 98.2 1.39 1.51 Leaf -8.42 (1.59) <0.001 2.96 (0.43) <0.001 0.44 1.61 1.54 14.9 1.03 1.20 DBH Total 3.89 (0.47) <0.001 1.02 (0.15) <0.001 0.42 1.12 0.56 531.8 0.50 0.51 Trunk 3.59 (0.41) <0.001 1.06 (0.14) <0.001 0.50 1.11 0.50 398.5 0.44 0.45 Branch 0.69 (1.54) 0.65 1.17 (0.51) 0.02 0.08 2.61 4.10 115.1 1.63 1.87 Leaf -1.10 (1.20) 0.36 1.25 (0.39) 0.002 0.14 1.92 2.18 18.5 1.28 1.55 SD Total 2.39 (0.59) <0.001 1.31 (0.17) <0.001 0.50 1.15 1.17 492.9 0.46 0.52 Trunk 1.89 (0.48) <0.001 1.40 (0.14) <0.001 0.63 1.10 0.57 464.0 0.38 0.39 Branch -2.26 (2.01) 0.27 1.86 (0.57) 0.002 0.15 4.80 23.82 110.8 1.57 1.62 Leaf -4.01 (1.53) 0.01 1.91 (0.42) <0.001 0.24 1.97 2.95 17.4 1.20 1.37 CV Total 3.00 (0.54) <0.001 0.30 (0.04) <0.001 0.47 1.14 0.54 507.1 0.47 0.49 Trunk 3.39 (0.55) <0.001 0.26 (0.042) <0.001 0.39 1.12 0.55 443.3 0.49 0.50 Branch -6.24 (1.40) <0.001 0.89 (0.11) <0.001 0.48 0.62 0.93 86.4 1.23 1.27 Leaf -6.43 (1.04) <0.001 0.79 (0.08) <0.001 0.56 0.42 0.51 13.3 0.92 0.95 CD Total 2.52 (0.52) <0.001 0.99 (0.12) <0.001 0.53 1.11 0.49 475.5 0.44 0.46 Trunk 3.06 (0.57) <0.001 0.84 (0.13) <0.001 0.42 1.09 0.51 431.9 0.47 0.49 Branch -7.16 (1.43) <0.001 2.55 (0.32) <0.001 0.51 1.86 2.33 83.7 1.19 1.23 Leaf -7.67 (0.98) <0.001 2.31 (0.22) <0.001 0.65 1.34 0.97 11.9 0.82 0.85

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Appendix 22. Table. Allometric equations following the log-linear model for biomass components of 0.5 x 7.5 m alley rows of Leucaena leucocephala 6 months post pollarding to a height of 2 m. Where ln(x) is the log transformation of root collar diameter (RCD mm, 0.05 m), or RCD and Height (cm) as predictors of biomass. ln(y) is the log transformation of total biomass(g), trunk biomass (g), branch biomass (g) or leaf biomass (g). b0 as the intercept coefficient, b1 as the slope coefficient, both reported with standard error (S.E.) and significance (P). Coefficient of determination (R2), lambda (λ) and standard deviation (S.D.) as back transformation according to Marklund (1987), Furnival’s Index (F.I.) according to Kershaw et al. (2016), root mean square error of model (Model RMSE) and results of K-fold model cross validation (k=10) reported as root mean squared error (CV RMSE).

ln(y) Model CV 2 ln(x) (Biomass) b0 (S.E.) P b1 (S.E.) P b2 (S.E.) P R λ S.D F.I. RMSE RMSE RCD + Height Total -3.04 (0.79) <0.001 1.69 (0.12) <0.001 0.66 (0.16) <0.001 0.86 0.98 0.26 64.33 0.24 0.25 Trunk -2.26 (0.67) 0.001 1.71 ( 0.1) <0.001 0.47 (0.13) <0.001 0.89 1.03 0.21 39.02 0.20 0.21 Branch -22.3 (4.03) <0.001 2.01 (0.59) <0.001 3.36 (0.81) <0.001 0.46 2.53 6.44 109.94 1.23 1.29 Leaf -21.53 (2.75) <0.001 1.92 (0.40) <0.001 3.01 (0.55) <0.001 0.61 1.34 1.05 10.62 0.84 0.89

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CHAPTER V

CATTLE BROWSING IMPACTS ON THREE

SILVOPASTORAL FORAGE LEGUMES IN AMAZONIA

Abstract

A lack of knowledge of locally adapted browse species limits the development of more sustainable livestock production systems in the Amazon. Three replicates of a control and three stands of forage legumes arranged in three alleys of 0.5 x 7.5 m were each directly browsed by cattle to determine the forage potential of these species. Destructive sampling of grass and tree foliage, canopy measurements and leaf counts prior to and post browsing were used to estimate browse removal. Post- trial, the damage of cattle on leaves and branches of trees of each species were measured. Soil compaction was measured between treatments and prior to and following the cattle trial. All three species were palatable to cattle and readily eaten when fresh. Treatments containing trees and grass produced more available forage

(>2.2 Mg ha-1) for cattle than the grass only treatment (1.5 Mg ha-1). Destructive sampling of foliar biomass below 1.6 m demonstrated that cattle consumed 99% of

Erythrina berteroana, 75% of Inga edulis and 80% of Leucaena leucocephala. When leaves were counted from 0.5-1.5 m height the change from pre to post-trial was a decrease of 95% for E. berteroana, 80% for I. edulis and 87% for L. leucocephala.

Cattle browsed at an average height of 1.5 m but reached a maximum height of 2.6 265

m for E. berteroana as they pulled down branches browse. This research highlights the value of locally adapted browse species for cattle forage and the productive potential of silvopastoral systems in the Amazon.

1. Introduction

Cattle are traditionally viewed as grazers that consume grass and other herbaceous plants from the ground. It is often overlooked that they are also browsers and that shrub and tree foliage can provide an important contribution to cattle diets

(Zampaligré et al., 2013; Dechnik-Vázquez et al., 2019). A number of environmental factors are contributing to the global decline of grassland, including increased frequency of drought, fire and changes in atmospheric CO2 levels (Morgan et al.,

2007). There is increased impetus to find browse species that can contribute to a diverse and resilient system for livestock production in the face of climatic change

(Murgueitio et al., 2014). Under rising temperatures the forage quality of grass is predicted to decline, whilst simultaneously methane emissions from cattle are predicted to increase (Lee et al., 2017). In the Bragantina region of Northern Brazil,

Hohnwald et al. (2010) demonstrated that in the humid tropics, the integration of woody components could enhance forage production, ecological stability and sustainability when compared to grass monocultures. Historically, shrubs and trees have been perceived as weeds that limit grass productivity and efforts have concentrated on their elimination (Scoones, 1995). To date, little attention has been given to developing livestock production systems in the Amazon biome that seek to maximise the availability of tree and shrub browse to cattle, also known as

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silvopastoral systems (Hohnwald et al., 2016). It remains to be proven in the region that such a system could increase the production of edible biomass over traditional models of monoculture grass pastures.

The inclusion of trees and shrubs for browse can present advantages for livestock production and increase the provision of ecosystem services when compared with pasture production systems. Extensive cattle production systems in the tropics lack shade that could serve to reduce the incidence of heat stress in cattle. Heat stress in cattle is associated with decreased feed intake (Mader and Davis, 2004), reproductive health (Klinedinst et al., 1993), milk yield (Parsons et al., 2001) and fitness and longevity (King et al., 2006). Certain trees and shrubs can serve to reduce methane emissions when ingested by cattle (Pal et al., 2015). The benefits of trees are numerous and include enhanced nutrient cycling and soil formation, the recovery of compacted soils, the reduction of runoff, additional habitat to support biodiversity, increased ecological connectivity and the mitigation of climate change via the sequestration of carbon (Fisher, 1995; Montagnini and Nair, 2004; Sharrow and Ismail, 2004; MEA, 2005; Udawatta and Kallenbach, 2011; Mauricio et al.,

2019). Farmers may experience direct benefits of planting trees, such as the increased longevity of livestock farms. Such benefits may reduce the need for expansion into primary forest for new pasture (Murgueitio et al., 2011).

In the Amazon, perpetual pasture degradation and abandonment has resulted in an expanding agricultural frontier of deforestation for the continued production of cattle

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(Martínez and Zinck, 2004). This process is viewed as the antithesis of forest conservation. The Amazon hosts many native trees that have shown potential for domestication in agroforestry systems, some of which are reported to be palatable to cattle (Serrão et al., 1996; Hohnwald, 2016). A well managed browse component could help ameliorate the chronic degradation of pastures and even mitigate some effects of climatic change of the Amazon (Serrão et al.,1996). Furthermore, the degraded pastureland in the Amazon represents an opportunity for afforestation projects that could restore landscapes to productivity and simultaneously increase the provision of ecosystem services. A key limitation to the adoption of this approach is the lack of studies that document the impact of cattle browsing on native plants.

The development of silvopastoral systems could be an important incentive for landowners in the Amazon to reduce reliance on extensive grass monocultures and the use of fire in the management of pastures for cattle production (Serrão et al.,

1996; Hohnwald, 2016). Few studies have documented the forage potential of locally adapted species. An increased understanding of which plants are palatable to cattle and readily eaten when fresh would contribute to the development of appropriate silvopastoral systems. The business of cattle farming seeks to increase per hectare livestock productivity. If the inclusion of forage trees in pastures can be shown to increase productivity over current management then there is an economic incentive for the adoption of silvopastoral systems. A key limitation to developing such approaches is a lack of methodologies that quantify the productive potential of forage for cattle from trees and shrubs. In contrast to studies that consider the total

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biomass production of trees, this study aims to identify which proportion of the total biomass is available to cattle via a series of direct browsing experiments, and therefore this study attempts to quantify the productive increase, as opposed to the total increase in biomass.

This study seeks to compare novel and existing approaches to assess the forage potential of trees and shrubs for cattle production by quantifying the browsing impact of cattle on trees. The study compares trees destructively harvested prior to and post cattle browsing, with alternative, non-destructive approaches. The non-destructive approaches include measurements of the crown and leaf counts. A range of destructive and non-destructive methodologies have been attempted here in order to compare the consistency of the results of each method and provide a series of experimental approaches that can be attempted in future studies with reference to the present study. The browsing impact on the trees is considered as the diameter of woody material consumed or broken via cattle interactions, for three species in a random block field trial in a pasture established in the Peruvian Amazonian region of

Madre de Dios. These approaches can be used to determine the total edible biomass available to cattle and the amount of biomass consumed, and crucially, evaluates the accuracy of non-destructive approaches that may be used as methodologies in on-going field trials to measure biomass removal by cattle. Such studies can contribute to our understanding of management and productivity of alternative silvopastoral livestock systems.

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It was hypothesised that:

(a) Erythrina berteroana, Inga edulis and Leucaena leucocephala are palatable to

cattle and will be consumed when fresh.

(b) Tree and grass arrangements can surpass the amount of edible biomass

than that found in monoculture Brachiaria brizantha cv. Marandú pastures.

(c) The availability of browse to cattle is limited by the height of the foliage.

2. Methods

2.1 Experimental Design and Cattle Herd

A detailed description of the experimental design and establishment is available in

Chapter II. The experiment sought to evaluate the browse potential of 24-month old

Inga edulis, Erythrina berteroana and Leucaena leucocephala. These species had previously been shown to survive and grow at the study site (Chapter II). These three species are considered experimental treatments. The fourth experimental treatment was a control of pasture without trees. There were five replicate plots of each treatment available at the beginning of this study. Three replicate plots were selected at random for the present study due to limited resources. In total, there were 12 experimental plots, composed of three replicates of four treatments.

Eight non-lactating Bos taurus indicus heifers of approximately equal size and body condition were selected for the browsing experiment (Edmonson et al., 1989). The cattle were drawn from a herd that were managed via grazing on pastures and

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browsing a 4 km roadside strip adjacent to the property. The cattle had previous experience of browsing several different species of trees and shrubs but were unfamiliar with the study site. The cattle were bought onto the experimental property and into a training corral where they had a 15-day period of acclimatization on the

Brachiaria brizantha cv. Marandú grass. An electric fence was introduced to the corral so that the cows would become accustomed to the fence.

The experiment was carried out in three eight-day phases (Table 15). Phase I began on the 13th February 2019. The cattle were selected in pairs and each pair was introduced into a replicate plot. After 8 days, the pairs of cattle were moved to the next replicate plot that had been chosen at random where they remained for eight further days. Then the cattle were moved into the last plot where they remained for a further eight days. Phase III of the experiment concluded on the 8th March 2019.

Table 15. Pairing combinations and random rotation of cattle (8 cattle numbered 1-8) between four treatments in three, eight day phases of a cattle trial.

I. edulis L. leucocephala E. berteroana Control Grass Phase I 1,6 7,8 2,5 3,4 Phase II 3,4 1,6 7,8 2,5 Phase III 7,8 2,5 3,4 1,6

Two cattle were allocated per treatment, for a total of eight cattle in the four replicates at any one time (Figure 52). A one-meter wide strip was cut around all replicates for the installation of an electric fence and to prevent cattle from browsing adjacent plots. A single red polyester wire electric fence was installed around each replicate plot at a height of 0.8 m. Permanent water (provided ad libitum) and 5 x 5 m 271

shade stations were installed at the edge of each plot. The area that contained the water and shade station was excluded from all sampling.

Figure 52. Map of the cattle trial from east to west Phase I (red), Phase II (blue) and Phase III (yellow).

2.2. Browsing Detection Using Destructive Measurements

At the beginning of each eight-day sampling period the replicate number, tree species, date, observer and subsample codes were recorded. The root collar diameter (RCD, measured at the widest part 0.05 m above the ground) of trees within each plot was measured and divided into ten size classes. Six trees from each size class were randomly selected for destructive sampling; three to be harvested prior to the introduction of cattle, and three to be harvested after the cattle had left the replicate. Trees were harvested up to two days before the cattle were introduced, and were harvested up to two days after they had left. The biomass was harvested in 272

two stages to consider the effect of resource height on resource intake. It was assumed that cattle could reach a maximum height of 1.6 m. All biomass greater than 1.6 m from ground level was harvested separately from biomass less than 1.6 m. Biomass was classified as stem, branch or foliage, and weighed using an appropriately sized spring-loaded weight scale.

Statistical Analysis

To determine whether an effect of browsing on foliar biomass could be detected, the total foliar biomass was compared prior to and post the cattle trial. Data were first checked for normality using the Shapiro-Wilk test for normality and the Levene’s test for variance. In the case of I. edulis, the data were not normally distributed but had comparable variances. Therefore, a Mann-Whitney was used to test for differences.

In the case of E. berteroana the Levene’s test demonstrated that the variance between the results prior to and post-trial was too great to consider using the Mann-

Whitney test, therefore a Mood’s Median test was used.

To test the hypothesis that a greater proportion of foliar biomass was consumed at a height less than 1.6 m the ratio of foliar biomass under and over 1.6 m was compared for each tree when sampled prior to and post the cattle trial. The proportional change was compared for each species using a proportional test. To assess the relative amount of tree forage that had been consumed by animals between species, the proportion of foliar biomass below 1.6 m prior to and post the introduction of cattle was compared using a one-way Analysis of Variance (ANOVA).

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This established the relative amount of foliage that had been consumed by the animals between treatments and was considered as a measure of palatability.

2.3. Browsing Detection Using Non-Destructive Measurements

Within each replicate, 30 trees were selected to represent ten size classes. Tree height was measured from the ground to the top of the highest meristem. Leaf emergence height (LEH) was measured from the ground to where foliage volume assumed 5% of the total. The same measurement was called canopy height when used in the equations presented below. A 5 m measuring tape was used to measure crown diameter (CD), taken as the mean of three horizontal measurements of the crown perpendicular to the ground.

The crown radius (r) was calculated as the crown diameter divided by two. Crown depth (CD) was derived using equation 1. Crown area (CA) approximates a circle and was derived using equation 2. Crown volume (CV) was assumed to equate to a cylinder, the best fit for the pollarded trees, and was calculated using equation 3:

(1) Crown Depth = Height – Canopy Height

(2) CA = πr2

(3) CV =πr2CD

Statistical Analysis

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To test for an impact of the cattle browsing on crown volume, the crown volumes for each tree measured prior to and post the cattle trial were compared within a species.

The crown volume data were checked for normality using the Shapiro-Wilk test.

Crown volume was not normally distributed and therefore the homogeneity of variances was tested using Levene’s test. The crown volumes of both I. edulis and L. leucocephala demonstrated a homogeneous variance and therefore the Mann

Whitney U test was used with the crown volume as a continuous response variable and prior to or post cattle trial as a categorical predictor. For E. berteroana the

Levene’s test showed that the variance within the data were not homogeneously distributed. Therefore, the decision was taken to use the Kruskal-Wallis test to determine if there was an effect of cattle browsing on crown volume.

To determine whether cattle had an effect on the height at which leaves were present, the continuous response variable of LEH was tested for normality using the

Shapiro-Wilk test for each species. The LEH of both I. edulis and E. berteroana were normally distributed and therefore paired t-tests were used to compare for each species the LEH prior to and post the cattle trial. The LEH data for L. leucocephala were not normally distributed and therefore a Levene’s test was employed to confirm homogeneity of the variance. The canopy height data for L. leucocephala were of equal variance and therefore a Mann Whitney U test was used test for an effect of cattle browsing on LEH.

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2.4 Browsing Detection Using Leaf Counts

Leaves were counted prior to and post the cattle trial to detect an effect of browsing on the number of leaves. Within each species 60 branches were chosen at random from 30 trees per replicate. Two sections of the branch were chosen. The first section was 1 m long, and was measured from 0.5 m from the ground. Assuming the branches were vertical, this can be described as a section 0.5 m to approximately

1.5 m above the ground. The second section was 0.5 m long and measured from 1.5 m to approximately 2 m above the ground. The replicates were exposed to cattle within two days of sampling, and the sampling procedure was repeated the day after the cattle left the replicates. The difference in the number of leaves prior to and post- trial was assumed to be due to utilization by cattle.

Statistical Analysis

The total number of leaves on a tree was a continuous variable. A Shapiro-Wilk test was used to test for normality and the distribution of the variable was found to be non-normal. A non-parametric test, the Wilcoxon signed rank test was used to compare the total number of leaves prior to and post the cattle trial for each species.

2.5 Measurement Of Browsing Impact

Immediately following each eight-day cattle trial, 30 trees in every replicate were visually assessed for signs of browsing or cattle impact. The height of the impact was recorded and categorised as branch or leaf. Two damage types were reported, either browsed or broken. The diameter of the impact was recorded with callipers. 276

Statistical Analysis

The Shapiro-Wilk test was used to check the normality of the distribution of the continuous response variables: the diameter of point of leaf browsing, diameter at point of branch browsing, diameter of branch broken, height of leaf browsed and the height of branch browsed. The height of leaf browsing was found to have a normal distribution therefore a one-way ANOVA was used to determine if there was a difference between the heights of the browsing impact between the different tree species. Tukey’s Honest Significant Differences test was applied post-hoc to determine which species were different. Shapiro-Wilk tests indicated the following response variables were not normally distributed: diameter at point of branch browsing, diameter of branch broken and the height of branch browsed. Non- parametric tests were used for these response variables. The Kruskal-Wallis test was applied, using species as a categorical predictor. When the result was found to be significant, Dunn’s test was used to determine which species were different.

Dunn’s test is considered an appropriate test for groups with unequal numbers of observations (Zar, 2010). Mortality as a result of the cattle trial was calculated as the percentage of total trees that had died as a result of the trial.

2.6 Estimation Of Grass Forage

Prior and post-feeding trial, all ground biomass was harvested within five randomly located 1 m2 quadrats. Sampling prior to the feeding trial subjectively considered biomass as either an ‘edible’ or ‘nonedible’ fraction. ‘Edible fraction’ was visually 277

assessed as the leaf or stem (< 25 mm) component of the grass no less than 10 cm from the ground. This fraction was considered to be the ‘leaf’ part of the grass and the part most commonly favoured by cattle. The inedible fraction was the remaining grass biomass, which was considered to be the ‘woody stem’ part of the grass and of lower grazing value to the cattle. Each fraction was weighed separately as fresh weight. Three subsamples were taken of each fraction and dried to a constant weight. Post feeding trial there was no ‘edible’ fraction available to sample, therefore sampling consisted solely of the non-edible fraction.

2.7 Effect Of Trees and Cattle on Soil Bulk Density

To determine the effect of trees on soil bulk density, samples were taken from either within one meter of the tree line or between the rows of trees to a depth of either 0 –

10 cm or 10 – 20 cm. Five samples were taken from each of these categories, for a total of 20 samples per replicate. A cylindrical steel corer of 5 x 9 cm was used to give a volume of 318 cm3. The core was driven vertically into the soil and excavated with a trowel. Once removed, the soil core was transferred to a paper bag. The core was oven dried at 55 °C until a constant dry weight was reached and this value was reported. Bulk density was calculated as the weight of the sample divided by the volume of the sample and is reported in g cm3 (Swift and Bignell, 2001). To determine the effect of cattle on soil bulk density the aforementioned sampling procedure was repeated following the introduction of cattle. In control replicates with no trees, sample sites were chosen randomly and no closer than 10 m to an edge of each plot. 278

Statistical Analysis

The effect of trees on soil bulk density was determined within treatments by comparing the bulk density within the tree line with the bulk density between the rows of trees at the 0 – 10 cm or 10 – 20 cm depth profile. The bulk density was the continuous response variable to the categorical treatment of species. Within each species and depth, the bulk density was tested for normality by using Shapiro-Wilk tests. The data were found to be normally distributed. Paired t-tests were used for each species and depth to compare the compaction of the soils within the tree line with the compaction of the soils between the rows of trees.

Subsequent to the cattle trial the sampling methodology was repeated to test for an effect of cattle on soil compaction. Using each treatment as a predictor variable, the bulk density post-cattle trial at two depths was tested for normality by using Shapiro-

Wilk tests. Where the data were normally distributed, paired t-tests were used to compare the bulk density prior to or post the introduction of cattle. The data were not normally distributed for L. leucocephala at 5-10 cm depth, or for E. berteroana at either the 0-10 cm or 10-20 cm depths. In these cases Kruskal-Wallis tests were used. If an effect of cattle on soil bulk density was found, it was explored via t-tests to determine whether there was an effect of trees on soil bulk density by comparing the soil bulk density from within the tree line with that taken from between the rows of trees.

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3. Results

Cattle browsing reduced the amount of available foliage for all species (Figures 53-

56). This effect was detected by all methodologies. When foliar biomass was destructively sampled below 1.6 m, the results show foliar biomass reductions for all three tree species following the introduction of the cattle. A greater proportion of biomass was lost below 1.6 m than over 1.6 m for E. berteroana (P< 0.05), I. edulis

(P <0.01) and L. leucocephala (P< 0.01). Destructively sampled L. leucocephala showed an increase in total foliar biomass of 20% (P<0.01) post-browsing; this result is discussed further in the discussion section. When foliar biomass below 1.6 m was compared prior to and post the cattle trial, E. berteroana showed a 99% decrease, I. edulis a 75% decrease and L. leucocephala an 80% decrease (Table 16). When the change in foliar biomass below 1.6 m was compared prior to and post cattle trial there was no effect of species detected. When total biomass (i.e. below and above

1.6 m) was considered there was a reduction in total foliar biomass of E. berteroana of 92% (P<0.01) and of I. edulis by 30% (P<0.05).

Table 16. Dry foliar biomass for individual trees (dry matter g tree-1), standard deviation (S.D.) and number of individuals sampled (n) prior to and post cattle browsing either mean total tree foliar biomass or foliar biomass harvested <1.6 m on potential browse species Erythrina berteroana, Inga edulis and Leucaena leucocephala. Significant differences (P<0.05) from prior value to post value following cattle browsing denoted by an asterisk (*).

Prior or Post Foliar biomass Foliar biomass <1.6 m Species Cattle Trial n g tree-1 S.D. g tree-1 S.D. E. berteroana Prior 87 45.3 66.2 15.5 66.2 Post 90 3.8* 11.8 0.2* 11.8 I. edulis Prior 88 297.1 347.7 141.7 347.7 Post 90 204.5* 348.2 34.9* 348.2 L. leucocephala Prior 87 60.4 193.0 6.6 193.0 280

Post 90 72.3* 277.9 1.3* 277.9

Figure 53. Cattle browsing Inga edulis

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Figure 54. Browsing line where cattle consumed all the foliage they could reach.

Figure 55. Post-browsing, an Erythrina berteroana row is missing several trees

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Figure 56. Leucaena leucocephala defoliated on low branches

E. berteroana demonstrated the greatest loss of crown volume due to browsing, a

67% decrease (P <0.01), followed by I. edulis (51% decrease, P <0. 01) (Table 17).

For the species L. leucocephala there was a 31% reduction but this was a statistically weaker effect of browsing on crown volume (P = 0.06). Post browsing, the leaf emergence height increased in E. berteroana by 49% (P<0.01), in I. edulis by 50% (P <0.001) and in L. leucocephala by 20% (P <0.01) during the browsing period.

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Table 17. Mean average (Av) and standard deviation (S.D.) of change per individual tree in crown volume (M3) and leaf emergence height (LEH, cm) prior to and post a cattle browsing experiment on individuals (n) of potential browse species, Erythrina berteroana, Inga edulis and Leucaena leucocephala. Significant differences between sampling period prior to and post (P<0.05) denoted by an asterix (*).

Prior to cattle trial Post cattle trial Parameter Species Av S.D. n Av SD n Crown Volume (M3) E. berteroana 0.94 1.15 88 0.31* 0.51 50 I. edulis 2.01 2.05 48 1.02* 1.65 46 L. leucocephala 1.54 2.6 83 1.06 2.05 75 LEH (cm) E. berteroana 112.6 40.1 88 167.8* 74.2 50 I. edulis 101.6 33.3 48 152.5* 35.1 46 L. leucocephala 191 45.9 83 230.7* 53.5 75

The mean number of leaves decreased among all species as a result of cattle browsing (Table 18). E. berteroana lost the greatest proportion of leaves in both the

0.5 – 1.5 m and the 1.5 – 2.0 m category (95% and 91% respectively). I. edulis and

L. leucocephala both lost more leaves under 1.5 m (80%, 87%) than over 1.5 m

(48%, 80%). When the methodologies used to measure browsing impact prior to and post cattle trial are compared between species they show comparable results between species, as shown for E. berteroana in Figure 57, I. edulis in Figure 58 and

L. leucocephala in Figure 59.

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Table 18. Mean leaf count per tree (number of leaves tree-1) and standard deviation (S.D.) prior to and post a cattle-browsing trial on individuals (n) of potential browse species Erythrina berteroana, Inga edulis and Leucaena leucocephala. Significant differences (P<0.05) between leaves counted prior to and post browsing are denoted by an asterix (*). Sampling Prior/ Number of Mean Range Species Post n leaves tree-1 S.D. reduction (%) 1.5 m - 2 m E. berteroana Prior 65 26.3 18.6 Post 65 1.4* 3.5 -95 I. edulis Prior 70 17.6 18.8 Post 70 9.2* 14.4 -48 L. leucocephala Prior 37 16.1 14.4 Post 37 3.9* 7.2 -76 0.5 m - 1.5 m E. berteroana Prior 132 29.3 23.6 Post 132 2.6* 4.6 -91 I. edulis Prior 163 24.6 23.2 Post 163 5.0* 6.6 -80 L. leucocephala Prior 99 16.2 13.6 Post 99 2.1* 5.0 -87

100 80 60 40 20 0 -20 -40

Proportional change Proportional -60 -80 -100 Destructive <160 Crown Volume Leaf Count 50- Leaf Emergence cm 150 cm Height

Figure 57. Percentage change of Erythrina berteroana biomass for four assessment methodologies used to detect biomass removal following cattle browsing.

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60 40 20 0 -20 -40 -60

-80 Proportional change Proportional -100 -120 Destructive <160 Crown Volume Leaf Count 50- Leaf Emergence cm 150 cm Height

Figure 58. Percentage change of Inga edulis biomass components between methodologies used to detect biomass removal following a cattle-browsing experiment. 40

20

0

-20

-40

-60

-80 Proportional change Proportional -100

-120 Destructive <160 Crown Volume Leaf Count 50- Leaf Emergence cm 150 cm Height

Figure 59. Percentage change of Leucaena leucocephala biomass components between methodologies used to detect biomass removal following a cattle-browsing experiment.

Browsing damage was recorded on branches for all species (Table 19). The browsed branches of E. berteroana showed an increased diameter compared with

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other species. The branches of E. berteroana had a 35% greater diameter than I. edulis and 65% greater than L. leucocephala. There was no effect of species on maximum height of branches browsed. E. berteroana had the highest rate of mortality when measured immediately post browsing (12.5%) that was six times greater than that of the species with the lowest mortality, I. edulis (2.1%). L. leucocephala had a mortality of 4.8%.

Table 19. Impacts measured following a cattle trial on three potential browse species Erythrina berteroana, Inga edulis and Leucaena leucocephala. Impact types were classified as browsing-type damage (Browsed) or breakage-type damage (Broken) of two categories, branches (all species) and leaves (I. edulis). Average diameter (mm), average height (cm) and maximum height (cm) and respective standard deviations (S.D.) reported on a number (n) of individual trees. Significant differences between species (P<0.05) denoted by asterisk (*).

Impact Impact Diameter (mm) Height (cm) Species Category Type Average S.D. Average Max S.D. n E. berteroana Branch Broken 12.8* 7.2 153 240 41.7 126 Branch Browsed 5.0* 1.8 156 256 42.7 222 I. edulis Branch Broken 9.0* 4.7 134 195 37.0 39 Branch Browsed 3.9* 1.4 150 246 36.3 181 Leaf Browsed 2.5 0.7 144 197 55.3 245 L. leucocephala Branch Broken 6.5* 3.8 135 260 44.1 41 Branch Browsed 2.8* 0.9 154 225 36.2 113

There was no effect of treatment on the amount of edible or non-edible biomass available prior to the cattle trial (Table 20). When grass biomass was compared prior to and post the cattle trial, 100% of the edible fraction was consumed in all treatments. If the edible fraction of grass in each treatment was combined with the results of the destructive foliage estimates <1.6 m as a measure of total available edible foliage, the no-tree control treatment would produce 1.5 Mg ha-1 less available edible forage than the tree treatments of E. berteroana (2.3 Mg ha-1), I. edulis (2.3

Mg ha-1) or L. leucocephala (2.2 Mg ha-1). 287

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Table 20. Edible and non-edible fractions of mean average dry weight grass biomass (Mg ha-1) produced in four treatments, reported for sampling carried out prior to and post the introduction of cattle.

Prior (n = 15) Post (n = 15) Average Average Treatment Fraction (Mg ha-1) S.D. (Mg ha-1) SD Control Edible 1.5 0.6 0 Non-edible 30.2 9.7 38.8 9.1 E. berteroana Edible 2.3 0.8 0 Non-edible 29.4 10.9 29.8 10.0 I. edulis Edible 1.9 0.5 0 Non-edible 22.7 8.5 30.7 11.8 L. leucocephala Edible 2.2 0.9 0 Non-edible 30.2 12.9 31.4 7.8

Prior to the cattle trial there were no differences in the soil bulk density within the line of trees or between the rows of trees of any of the species tested. Following the cattle trial, the soils of the I. edulis replicates had become compacted at both the 0-

10 cm (P <0.01) and the 10-20 cm horizon (P <0.01). This effect was found to occur within the tree line at both the 0-10 cm (P <0.05) and 10-20 cm horizon (P <0.01), and between the rows of trees at the 10-20 cm horizon (P <0.05). No effect of the introduction of cattle on soil compaction was found in any of the other treatments.

4. Discussion

This study sought to identify the forage potential of three tree species. The results show that the three tree species are palatable when fresh and readily eaten by cattle. When the biomass of traditional monoculture was compared with the available biomass of the silvopastoral system the results showed that the inclusion of these tree species would increase the forage available to cattle. Therefore, the 289

silvopastoral system represents an increase in per hectare productivity and has the potential to support more cattle per hectare than the pasture-only conventional system. The reported increase in production per hectare is a conservative estimate as this figure only considers the foliar biomass up to a height of 1.6 m. Over the course of the experiment, it was found that cattle were able to access browse up to a height of 2.6 m. The estimation only considered foliar biomass as the sole component of edible biomass. In practice, it was found that cattle also browsed branches. The trees therefore provided a greater amount of edible biomass to the cattle than that reported in this study.

Destructive sampling was able to describe and characterise the impact of browsing on the foliar biomass of all species in this experiment. Although samples were drawn from the same population there was a degree of natural deviation between the samples of trees destructively harvested prior to and post the introduction of cattle.

An example of this in the present study was that destructive sampling detected an increase in total foliar biomass for L. leucocephala. This result is a methodological artefact and implies that a sample size must be chosen that is proportional to the variation within the population and the predicted browsing impact. Often this is difficult to establish in advance and the present study detected an increase in biomass despite a reasonable sample size. A drawback to this approach is that there is a high input of labour for the results.

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Destructive sampling of foliar biomass does not have to destroy the tree. It would be possible to strip the trees of foliar biomass prior to an experiment and compare it with the foliar biomass harvested subsequent to a browsing experiment. This is also known as simulated browsing. The advantage of this is the tree can be measured over time, a possibility that is removed when the tree is destructively harvested. A disadvantage is that simulated browsing may not accurately represent the height of browsing which may be greater or lower than expected, or the animal’s interaction with the browse, for example, an animal’s use of woody branches or ability to manipulate branches by pulling on them. Destructive sampling may be a necessary approach to determine the total biomass of trees and this approach is often used to calibrate or evaluate alternative, non-destructive techniques (Barnes, 1976).

Sanon et al. (2007) found that the mean height reached by browsing cattle was 1.47 m and the maximum was 1.9 m. Schoenbaum et al. (2018) found in Israel that cattle

(described as local breed x Hereford) could reach a maximum grazing height of 2.2 m. Ouédraogo-Koné et al. (2006) found that cattle could browse to a height of 1.1 m.

In the present study, cattle were found to browse on average between 1.3 and 1.6 m.

However, the maximum heights reported to have reached cattle in this study exceeded 2.5 m. It was only possible to identify the maximum diameter of leaf browsing impact in the species I. edulis due to partial consumption of the leaf by cattle. When cattle browsed E. berteroana or L. leucocephala leaves the entire leaf was removed. Therefore, there was no visible post-trial impact to record. In anticipation of the effect of browsing height on resource availability, the destructive

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sampling had considered all above ground biomass in two height categories, over

1.6 m and below 1.6 m. A greater proportion of biomass was consumed below 1.6 m.

If the total amount of foliar biomass were considered as the estimation of total available forage, the results would have underestimated the proportion of available forage consumed. If the resource is to be directly browsed a study must seek to establish the effect of resource height on direct browsing by the animal as this will influence estimations of the availability of forage (Renaud et al., 2003). This is because when large trees are considered, only a fraction of the total foliar biomass is actually within reach and therefore available to the cattle. Alternatively, forage systems such as cut and carry or lopping systems may aim to determine the edible fraction of biomass available to animals with little regard for the browsing height

(Balehegn et al., 2012).

The non-destructive approach to measuring a browsing impact using crown volume prior to and post cattle trial is limited by the fact that crown volume does not consider whether biomass is within reach of the cattle and an effect of light browsing may not be detected. The impact of browsing was detectable in the present study, presumably due to the trees having a low crown due to pollarding. Trees in cattle pastures may exhibit browse lines; this term describes a visible line of defoliation caused by cattle consuming all foliage within their reach. This study introduces the concept of leaf emergence height (LEH), which was conceptualised as attempt to capture the occurrence and height of browse lines on the tree species in the study.

The LEH increased for all species post cattle trial, which suggests the trees were

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consumed by the cattle. However, the LEH does not indicate how much forage was consumed. Furthermore, trees that may offer some supplemental forage value but are not palatable enough to be completely defoliated may be overlooked by this technique. The LEH could be of use when determining an appropriate pollard height for species.

The number of leaves lost as a result of the cattle trial was strikingly similar to the results of the destructive harvest of trees below 1.6 m. The methodology similar to that described by Rees (1974). The present study initially planned to employ the leaf counting technique only in the 0.5-1.5 m range. However, after the first round of the cattle trial it became apparent that in certain instances the cattle were browsing above this range. Therefore, an additional category of 1.5 – 2 m was specified. A greater proportion of leaves were lost in the 0.5 – 1.5 m range for all species, as this range was the easiest for cattle to reach. Rees (1974) did not establish a uniform height for sampling within the experiment. This is possibly due to different management approaches between their study and this study. In Rees’ (1974) study the plants were pollarded to 1 m height in the season in which the study was carried out and it can be assumed that all tree forage was accessible to cattle.

The specific management of this silvopastoral system is related to the quantities of biomass produced by both the tree and grass elements. For instance, this study was limited to one planting arrangement of 0.5 x 7.5 m, equating to 2667 trees ha-1. Six months prior to the cattle trial, all trees had been pollarded to 2 m height to reduce

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competition with grass (Chapter III). It was found that the pollarding reduced the negative effects of trees on the grass (presumed to be due to light competition).

However, the pollarding may also have impacted the tree’s production and distribution of foliar biomass and these effects were not studied. The browsing resulted in a substantial reduction in foliage on the trees, and this may have increased the light available to the grass. Further work is needed to understand how the tree and grass elements interact in silvopastoral systems. For example, the planting arrangement, the selection of tree and grass companion species, the use of fertilisers and pruning or pollarding management can all effect the production per hectare and were not evaluated in the present experiment.

A limitation of this study was that it did not consider how the availability of grass affected the practice of tree browsing. While it was observed that the trees were consumed at the same time as the grass there was no data collected to suggest that consumption of browse was as a result of the depletion of the edible grass biomass.

The results of this study indicate a substantial portion of inedible biomass. The

Brachiaria brizantha cv. Marandú pasture had been sown by hand in March 2017 and it was first grazed 24 months later at the time of the present experiment. This meant that a large fraction of the grass biomass had become inedible, as the mature stems of grass are fibrous and unpalatable to cattle. This study employed a subjective estimation of edible biomass fraction. The total edible fraction was completely devoured by the completion of the trial, which suggests the methodology underestimated the total edible fraction of grass. Future studies may consider

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simulating the grazing of the grass by repeatedly cutting the grass, an approach that was beyond the resources of this study.

The foliage of all tree species was consumed by cattle and there were no differences detected between species in the amount of foliage consumed. This suggests that all species were palatable and that relative palatability was not detected in the present study. I. edulis produced the most overall biomass and the most accessible and edible foliage for the cattle of all the tested species. The results of this study confirm that I. edulis is palatable to cattle and readily eaten when available. It observed that the cattle preferred to be in the shade of I. edulis than in the sun. I. edulis experienced branch browsing and damage to branches as a result of cattle interaction. However, I. edulis demonstrated the lowest immediate mortality following cattle interaction. This may be because stems of I. edulis were of an increased diameter when compared with those of E. berteroana or L. leucocephala (Chapter

III). It is possible that stem size and mortality following the cattle trial were related.

While beyond the scope of the present study, this could be of importance in determining an appropriate stage at which silvopastoral systems could be exposed to cattle.

Hohnwald et al., (2015) reported that I. edulis was a high producer of woody and leafy biomass, a frequently occurring tree in Capoeira, a nitrogen fixing legume and palatable for cattle. Hohnwald (2016) reported that I. edulis had ‘bad performance’ on a scale of palatability and biomass, which they described as a ‘positive value’ for

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forage quality and ‘intermediate’ values for mortality. Hohnwald (2016) found that I. edulis suffered from the overgrown grass sward, but when established it was robust.

He also mentions that the small trees may have not been obvious to browsing cattle amongst the tall grass and may have been overlooked, ultimately resulting in a negative palatability value. The present study differs from Hohnwald (2016) in the experimental design, establishment and management of trees and finds contrary to

Hohnwald (2016) that I. edulis is a suitable candidate for further investigation for forage potential. Dechnik-Vázquez et al. (2019) rated I. edulis 11th of 268 species on the amount of times the species appeared browsed. They found tannin content of

0.31% but no presence of toxic cyanogenic glycosides.

E. berteroana consistently exhibited the greatest proportion of foliar biomass lost, the greatest diameter of branches consumed and broken and the highest mortality following the cattle trial when compared with the other species. Unforeseen in the experimental design was that cattle would employ unique browsing strategies for each species. It was observed that the cattle displayed a browsing habit for E. berteroana of pulling down branches on which to feed. The branches would frequently break during this process and often sections of the broken branches would also be chewed and consumed. Post-trial, almost all the branches of E. berteroana trees had been broken, in some cases entire plants were missing, presumed destroyed by the cattle. This phenomenon was also reflected in the post- impact monitoring, where E. berteroana reported the highest average and maximum

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point of branch browsing, and the greatest increase in leaf emergence height following the experiment.

This study was limited to the planting of 1 m stakes of E. berteroana. This may have contributed to a substantially different growth form from than that observed when E. berteroana is grown from seed, where it tends to form a more robust and resistant tree (personal observation). The 1 m stakes produced adventitious shoots formed from the callus tissue between the bark and the wood of the cut surface that may have resulted in weaker branches than a natural growth form of E. berteroana. This may have made the trees of this species susceptible to cattle damage. Future studies could consider propagation from 15 cm cuttings or from seed.

Of the three tree species, L. leucocephala produced the least available foliar biomass. It was observed that this was due to L. leucocephala growing out of reach of the cattle as the pollard at 2 m, which favoured the production of adventitious buds that grew at a height of 2 m. This resulted in a minimal contribution to available forage for cattle. If the tree is produced with the intention of being directly browsed by cattle, a pollarding height under 2 m may be considered to encourage leaf production at accessible heights. Guevarra et al. (1978) compared three harvest frequencies of 2.5, 3 and 4 months, three planting arrangements of 15 x 30 cm, 30 x

50 cm or 45 x 50 cm and two accessions of L. leucocephala in North Kohala, Hawaii.

They found that for optimal forage production, a planting arrangement of 15 x 50 cm and pollarding when the plants were approximately 1 m in height were desirable

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management practices to increase forage yield. The present study reports the ability of this species to grow in the Amazon in association with B. brizantha cv. Marandú.

L. leucocephala has been widely documented as a tropical forage tree but it has not yet been reported to grow successfully in the Amazon. Szott et al. (1991) speculated that L. leucocephala failed to establish due to high levels of exchangeable aluminium at their experimental site in Yurimaguas, Peru. L. leucocephala is considered a highly invasive tree (Richardson, 1998). However, no incidences of natural regeneration were observed in the invasive B. brizantha cv. Marandú pasture.

Prior to the cattle trial there were no within species differences in soil bulk density between or within the rows of trees. This may be due to the relatively undisturbed nature of the site at the beginning of the study, as cattle had not been present on the land for 30 years and no machinery was used in the preparation of the experiment.

After the cattle trial the soils had a higher bulk density in the I. edulis parcels. This corresponds with the observation that the cattle were spending their time in the shade of I. edulis.

Research has shown that in traditional pasture models of the Amazon the highest nutrient concentrations occur in the most utilized and therefore compacted areas, for example, surrounding the water trough. This may result in a net loss of nutrients over time as the land’s nutrients are essentially exported and subsequently leached

(Boddey et al., 2004). If the cattle are spending time in the shade of I. edulis, these nutrients may be circulated back into the tree and become available to the animals

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via consumption of the foliage. Furthermore, over 5 years the roots of I. edulis have been shown to reverse the compaction of soils (Fisher, 1995). A relevant extension of this work would be to attempt to capture the effects of on-going compaction by cattle on growth and mortality of I. edulis. For example, planting trees in alley rows may result in different patterns of cattle movement and behaviour, which may influence the distribution of soil compaction and nutrients across pastures. A logical extension of the present work is a critical assessment of the chemical composition of these foliages and their impact on animal health.

In conclusion, the inclusion of trees into pastures can provide an increase in available forage for cattle. There are multiple techniques, both destructive and non- destructive that can be used to estimate the utilisation of browse plants by cattle.

Cattle are generalist browsers and may include leaves and twigs into their diet.

Where resource availability is limited by resource height, cattle may find ways to manipulate browse trees to access forage out of their reach. Locally adapted species may be able to provide palatable forage for cattle. Further work is needed to understand the impacts of these forage species on animal health.

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CHAPTER VI

CONCLUSIONS

1. Summary of Research Findings

Chapter I highlighted some of the advances and challenges in the current research into silvopastoral systems. Chapter II outlined a framework of decision-making processes for the design of agroforestry systems and used the contextual problem of livestock production induced chronic pasture degradation to describe the development of a novel silvopastoral system for the Amazon. The objective of the silvopastoral system was to reduce the degradation of pastures via the inclusion of locally adapted and native trees, and to offer sustainable improvements in productivity when compared with the traditional model of extensive cattle farming in the Amazon.

Chapter III followed the growth of five locally adapted species for 18 months from when they were planted in a Brachiaria brizantha cv. Marandú pasture. It was found that the tree species responded differently to the pasture environment. Erythrina berteroana, Inga edulis and Leucaena leucocephala demonstrated positive increase in height, diameter at breast height and root collar diameter when measured in all 6-

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month intervals. After 12 months, Senegalia loretensis and Ceiba pentandra began to decrease in height as mortality increased for these two species. At 18 months, I. edulis was 4.4 m tall and was found to halve grass production. All species were pollarded, and I. edulis produced more pollard biomass (0.42 Mg ha-1) than E. berteroana (0.19 Mg ha-1) or L. leucocephala (0.27 Mg ha-1). Six months later, all species but C. pentandra were found to negatively effect grass production. However, the magnitude of this negative effect was less for I. edulis than in the previous monitoring period.

It was concluded that some species are better adapted to the environmental conditions of the study site than others. A shorter, 12-month experiment may have incorrectly concluded that S. loretensis and C. pentandra were well adapted, but these species had declined within 18 months. It should also be taken into consideration that it is unknown how E. berteroana, I. edulis and L. leucocephala will respond to the pasture environment after 18 months. In-situ field experiments can assist in the evaluation of tree species in the context of the pests and pathogens present at the site. It was reported that at the present site all species suffered bark damage by rodent species, and that C. pentandra was susceptible to attacks from ants of the Atta genus. These findings demonstrated some of the advantages of in- situ long-term field experiments.

Rising levels of carbon in the atmosphere are driving global climatic changes and this has resulted in a market for services and processes that can remove

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atmospheric carbon, such as afforestation. The potential carbon sequestration that could be provided by silvopastoral systems is an important market-benefit that could enable payments to farmers for the adoption of more sustainable practices. A commonly used non-destructive approach to determine the biomass of a tree, and by extension the carbon sequestration of a tree, is the use of allometric equations to determine the relationship between an easily measurable element of the tree and it’s total biomass.

Chapter IV developed species and component specific allometric equations and compared the predictive power of a variety of tree measurements against biomass.

The potential combinations were assessed for their fit to the data using linear, quadratic and log-linear models and the models were compared using the Furnival’s

Index. Log-linear models were found to be superior to linear or quadratic models for the prediction of biomass components in all species. The results showed that a single parameter model of root collar diameter (RCD) was the best predictor of all biomass components of I. edulis, whereas for E. berteroana and L. leucocephala a multiple model that included RCD and height improved the predictive measurements of total and trunk biomass. The models for the prediction of total biomass showed the best fit for the species of L. leucocephala (R2= 0.86) followed by E. berteroana

(R2= 0.77) and I. edulis (R2= 0.70). After 24 months, I. edulis had accumulated the most biomass (7.2 Mg ha-1) when compared to E. berteroana (4.4 Mg ha-1) or L. leucocephala (4.3 Mg ha-1). The predicted carbon sequestration of these species was greatest for I. edulis (3.4 Mg ha-1) when compared to E. berteroana (2.1 Mg ha-

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1) or L. leucocephala (2.0 Mg ha-1). Chapter IV concludes that silvopasture could offer increased sequestration of carbon in the form of trees that increase above ground biomass. This finding is based on the assumption of active management of trees to reduce negative impacts on the growth, and therefore the carbon sequestration, of associated grasses. The rapid accumulation of above ground biomass in I. edulis in the pasture environment and its resilience to pollarding makes this species an attractive option for planting arrangements to maximize carbon sequestration.

All three tree species were palatable to cattle and readily eaten when fresh.

Destructive sampling of foliar biomass below 1.6 m suggested that cattle consumed

99% of E. berteroana, 75% of I. edulis and 80% of L. leucocephala. When leaves were counted from 0.5-1.5 m the change pre to post-trial was a decrease of 95% for

E. berteroana, 80% for I. edulis and 87% for L. leucocephala. Cattle browsed at an average height of 1.5 m but reached a maximum height of 2.6 m for E. berteroana as they pulled down branches browse. Cattle consumed the tips of branches and leaves. E. berteroana trees had been developed from cuttings and they were found to be the most damaged by exposure to cattle.

Treatments containing trees and grass were found to produce more available forage

(>2.2 Mg ha-1) than the grass only treatment (1.5 Mg ha-1). It is important to consider the effect of pollarding on these results. After 18 months, there was a negative effect of I. edulis on the production of pasture grass. This occurred when the I. edulis had

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an average height of 4.4 m. Subsequently, pollarding of I. edulis at 18 months 2 m reduced this negative effect. The increased production of available forage biomass and was greater than the decreased production of the pasture grass biomass.

Pollarding is a useful strategy for managers of silvopastoral systems, as competition for resources such as light can negatively affect plant productivity.

Practical recommendations for those seeking to plant a silvopastoral system for cattle production in the Brachiaria pastures of the Amazon are as follows. Establish

80% I. edulis and 20% alternative species in a planting arrangement of 0.5 x 7.5-15 m. The first pollard should occur at the onset of a rainy season when 70% of all trees are greater than 3 m height. The first pollard should apply to 60% of all I. edulis and be to a height of 2.5 m. The rationale behind this decision is to make some I. edulis foliage available as forage for cattle, also to leave some I. edulis to provide shade for the months where the rain is less frequent and contribute to the continued provision of ecosystem services. In the absence of cattle the pollard is still a useful way of thinning the tree line and maximizing the production of litter to contribute to healthy topsoil. Leaving a considerable proportion of trees will also ensure there are I. edulis fruit available to replenish the I. edulis plant stocks and expand the planted area.

2. Comparison with Previous Research

This research contributes to a growing body of work that catalogues silvopastoral systems as an approach to livestock production that can meet the challenge of sustainably feeding a growing population. Murgueitio et al. (2011) assert that 311

silvopastoral systems are instrumental for the productive rehabilitation of cattle production and biodiversity conservation in agricultural landscapes. They state that native trees and shrubs can be integrated into intensive silvopastoral systems and that this is an important approach for climate change adaptation and mitigation.

Dagang and Nair (2003) reviewed two decades of research on silvopastoral systems in Central America and find that such systems were not widely implemented by farmers in spite of the potential for silvopasture to improve pasture productivity and buffer deforestation. They suggest future researchers must understand the mind-set of farmers when managing their resources, which is to maximize perceived gains within the constraints of the system dynamics. They assert that silvopastoral research must seek to produce fast results, be of low risk for farmers to adopt and have a favorable impact on farming systems (Dagang and Nair, 2003).

This study relied on an understanding of the forage potential of locally adapted plants. Serrão et al. (1996) advocate the domestication of native Amazonian plants for agroforestry systems and conclude that more research is needed to identify optimal configuration of land use systems. The importance of locally adapted plants for the development of silvopastoral systems has been highlighted by many authors

(including but not limited to Butterfield, 1995; Ibrahim et al., 2006; Guimarães-Beelen et al., 2006; Murgueitio et al., 2011; Nunes et al., 2016; Dechnik-Vázquez et al.,

2019). However, research on the forage potential of trees that are adapted to

Amazon pastures is scarce and to date has concentrated on the North Eastern

Amazon in Brazil (Hohnwald et al., 2010; Hohnwald, 2016). The present study is in

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the South Western Amazon, Peru, 1700 miles from Hohnwald’s (2016) study site. I. edulis, a species described in Hohnwald’s (2016) experiment was also present in the region of the present study site and therefore selected for the present experiment as a parallel with Hohnwald’s (2016) study. However, a different planting design was used to that of Hohnwald (2016). The planting design of the present silvopastoral system was taken from the densest rows of alley planted I. edulis (0.5 m) found in the literature (Alegre and Rao, 1996; Leblanc et al., 2006).

Devendra and Ibrahim (1999) consider that one of the greatest challenges facing the development of silvopastoral systems is the need to improve integrated resource movement to increase productivity on whole farm systems that are driven by market- orientated access. The present study found an increase in two key benefits, that of increased forage production, which is a benefit that accrues to the farmer, and that of enhanced carbon sequestration which is experienced as a global good but has an emerging market. Numerous studies have shown the potential of trees to produce high quality fodder for animals (Haque et al., 1986; Pezo et al., 1990; Douglas et al., 1996; Ainalis and

Tsiouvaras, 1998; Rengsirikul et al., 2011). The majority of this work has concentrated on the production of forage in fodder bank arrangements where the production of forage is measured relative to a lopping, coppicing or pollarding approach (Muschler et al., 1993;

Larbi et al., 2005; Ortega-Vargas et al., 2013; Casanova-Lugo et al., 2014; Khedri et al.,

2018).

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When trees are grown in rows they are known as alleys. Alleys are commonly used to grow food crops where prunings from the rows of trees can be left between the rows for nutrient inputs or weed control or the pruning can be cut and carried to livestock and used as a fodder bank (Duguma et al., 1988; Leblanc et al., 2006; Ghezehei et al., 2015). In the present study it was envisaged that the cattle could directly browse the alleys of trees.

The planting design of this study shares certain design characteristics (east to west planting lines, objective of maximizing production) with the ‘intensive’ silvopastoral systems described by Murgueitio et al. (2011). Murgueitio et al. (2011) suggest that in an intensive silvopastoral system a planting density may be upwards of 10,000 plants ha-1, whereas the present study planted forage trees at a density of 2667 plants ha-1.

The present study reports an increase in carbon sequestration due to enhanced production of above ground biomass. The carbon storage of trees is directly related to the production of total biomass, therefore this study may underestimate total carbon sequestration (Nair et al., 2010). Sharrow and Ismail (2004) hypothesized that as grasses store the majority of their carbon below ground and trees and shrubs store the majority of their carbon above ground, combinations of trees and grasses would be able to provide increased sequestration of carbon. The potential for and uncertainties of silvopastoral systems to sequester carbon are well documented (see Nair et al., 2010; Feliciano et

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al., 2018). In the present study it is not known what effect the pollarding may have on the production of biomass of these species or how this may effect the carbon sequestration in this system. Ultimately, managers must find a balance between the benefits they wish to accrue with a silvopastoral system.

The present study only considers the above ground biomass of trees in relation to potential for carbon sequestration and does not consider the below ground biomass or the effect of trees in the present study on soil carbon. Feliciano et al., (2018) reviewed 88 studies on soil carbon. They found that the greatest soil carbon sequestration results from the transition of a grassland system to a silvopastoral system (4.38 Mg

C ha−1 yr−1). Higher soil organic content is related to tree density (Saha et al., 2009).

Soils proximate to trees, compared to soils at a greater distance from trees, store increased carbon (Howlett, 2009; Takimoto et al., 2009). Haile et al. (2010) found on

Spodosols and Ultisols in Florida that silvopastoral systems had greater potential to store more stable carbon in the soil at all depths compared with the treeless system.

3. Theoretical Implications of Findings

Wilderness continues to be converted to agriculture to meet the food needs of a growing global population. Livestock is a major driver of land cover change and while awareness is of the impacts of meat consumption on the environment is growing in western societies, the global demand for meat and dairy products is projected to have increased by 15% in 2027 (OECD‐ FAO, 2018). As the agricultural frontier 315

expands into neotropical rainforest areas, it leaves in its a wake a mosaic of pasturelands that have been degraded by poor management practices such as fire regimes and overgrazing (Costa and Rehman, 1999). There is an urgent need to develop new technology for the productive rehabilitation of these lands if wilderness areas are to remain while simultaneously feeding a growing global population

(Murgueitio et al., 2011). It is theorised that intensification of existing cattle systems will reduce the incentive to deforest additional land, in practice this is likely to depend on political and economic circumstances, such as market saturation (Latawiec et al.,

2014; Müller-Hansen et al., 2019). However, silvopastoral systems would result in net afforestation that would provide increased ecological connectivity in an increasingly fragmented landscape (Cadavid-Florez et al., 2019; Vaca et al., 2019).

The practice of silvopasture has been described as a “triple win” land use (Chará,

2019). Silvopastoral systems have the potential to increase cattle stocking densities by providing an increase in forage that can therefore intensify production in a way that simultaneously increases carbon sequestration. The adoption of silvopastoral systems may be a crucial strategy of farmer adaptation to projected climate impacts which include a decline in the forage quality of grasses under increased temperatures (Lee et al., 2017), and increased frequency and intensity of extreme weather patterns, such as drought (Jat et al., 2016; Lawson et al., 2019). The present study chose tree five species to assess their silvopastoral potential, of which three were considered to be well adapted to the present study site. There are many more species in the Amazon that represent good potential for forage (Hohnwald,

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2016; Dechnik-Vázquez et al., 2019). Different species combinations may also be more successful than others. The present study alludes to the potential of Inga edulis as a nurse tree to assist in the establishment of silvopastoral systems in the

Brachiaria brizantha cv. Marandú pasture grasses, as it is able to rapidly accumulate foliar biomass and open up a niche which due to a reduced presence of grass may have a reduced influence of the allelopathic effects of the grass.

The findings of this study imply that there is an excellent potential for further development of silvopastoral systems in the Amazon. Silvopastoral systems in the

Amazon could provide rapid and substantial increases in available forage biomass and carbon sequestration over monoculture grass pastures. This combination of benefits accruing at both the farm and global level supports the need to develop payment-based incentives for landowners to adopt silvopastoral systems.

4. Limitations of the Study

The design of the present study was ambitious. The positive outcome was that it was able to answer some general questions about the potential for silvopastoral systems in the Amazon. However, a key limitation of this approach is that often the fine scale interactions that are interesting design elements of such a system were overlooked.

For example, there was a single planting arrangement of 0.5 x 7.5 m. This meant that the findings were less comparable with those of the literature, which commonly focus on tree growth and biomass production in 2 x 2 m or 3 x 3 m arrangements.

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The results were drawn from a single site, which means the results cannot be transferred to other areas. Species were arranged in monospecific stands, whereas in practice mixed stands could increase biodiversity, reduce disease and exploit more resources by inherent variation such as branching pattern, leaf area, niche occupancy or rooting depth. All species were drawn from single accessions when in reality there are multiple accessions of species some of which may have been more successful than others. The experiment was only carried out once, and therefore is temporally limited to the specific prevailing conditions of the time at which it was carried out.

There were six dominant species in this experiment, consisting of five tree species and one pasture grass. Ideally, there would have been a much more thorough revision of potential species to use in the experiment but this was not possible due to the time sensitive nature of the current project. However, there are many more tree species with excellent potential not considered in the study. No consideration was taken for the chemical constituents of the foliage, or potential toxicity. The decision to use Brachiaria brizantha cv. Marandú was taken because it is one of the most productive grasses available in the region and also presents some of the most challenging conditions for tree establishment (Sobanski and Marques, 2014). The decision was taken to arrange the trees in monospecific stands. All management decisions that excluded an alternative approach can be considered as impact limitations of the present study as they further narrow the scope of the present study.

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The trees were pollarded to 2 m at 18 months. This was considered an essential management strategy in keeping with the objective of optimal forage production, but also had the effect of limiting the comparisons that could be drawn between the present study and other studies in the literature. The pollarded biomass was weighed as a total biomass. In retrospect, it would have been valuable to separate the stems, branches and foliage. This would have been informative to consider the amount of forage or fuel wood that could be gathered by the pollard. The original research design allowed for repeat pollarding and manual defoliation at varying frequencies and intensities. Due to unforeseen changes to the project timeline this experiment was not possible.

In Chapter III there were two sampling approaches to measuring the effect of trees on the regrowth of grass. The first approach considered a 30-day regrowth of grass that had been cut to 10 cm. It was originally intended to measure consecutive 30-day regrowth intervals. This approach would have also captured a seasonal effect on grass growth. The second consideration of the grass biomass occurs after the pollard event and considers the regrowth following a 6-month interval. Care was taken to consider the two results separately and this occurrence was an unintentional artefact of field sampling.

In Chapter V there was no treatment effect on the total fractions of grass biomass prior to and post the cattle trial. Five 1 m2 grass quadrats were taken in each replicate prior to the cattle trial and five post the cattle trial. This resulted in n=15 for

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each treatment prior to the cattle trial and n=15 post the cattle trial. It is possible that the sample sizes were too small to detect an effect of treatment. When a retrospective power analysis was carried out it was found hat the number of samples that would have been required to detect a treatment effect would have exceeded

0.09 ha, the size of each replicate. Therefore, this was not a feasible approach for the present study. This occurred because the grass had been left to grow for 24 months and this may have resulted in a greater inter-sample variation than that which may have been found in an active pasture. In anticipation of this, the study design included a subjective visual assessment of ‘edible biomass’.

The estimation of the contribution of tree biomass to carbon stocks only considered the above ground biomass and did not consider the below ground components of the trees. The carbon fraction was derived from the literature. However, as detailed biomass estimates were made for the three species it would have improved the study to have component specific estimates of carbon for each tree species. This was beyond the scope of the present study. No consideration was given to the soil carbon potential of the silvopastoral system, which could have yielded interesting results.

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5. Future Research

5.1 Direct Extensions of the Study

In the present study, the species Erythrina berteroana, Inga edulis and Leucaena leucocephala were able to establish in a pasture environment when planted as saplings. This was a costly approach as each tree was planted as a seed in an individual bag of soil and transported to the planting location. In the present study, this was feasible due to an on-site nursery. If this technology were to be widely adopted then a useful study would compare the cost and labour of the present approach with direct seeding and on-going management of the surrounding pasture grass.

5.2 Broader Issues for Future Work

A lack of studies document the forage potential of trees native to the Amazon.

Despite the relatively recent history of cattle farming in the Amazon, there is local ecological knowledge of which species are preferentially browsed by cattle. Once species have been identified, cafeteria type feeding trials could be used to evaluate intake and effect on animal health. There is also an effect of the chemicals found in milk following the consumption of certain forages that should be assessed.

The present study is primarily concerned with the production of forage and sequestration of carbon. Future research could seek to increase on-farm revenue.

Incorporating a timber element into the silvopastoral system could generate added

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economic incentives. Fast-growing leguminous timber trees with a low leaf area index could be incorporated into the rows of trees and simultaneously enhance the sequestration of carbon. Fruit trees could be an additional form of on-farm income.

Fertilisers could be used to account for the nutrients exported from the site in the form of timber or fruits. The increased biodiversity of such stands could increase the farm productivity and resilience by incorporating a more diverse selection of tree products.

More work is required to understand the costs of implementing silvopastoral systems and farmers perceptions of such systems. Outreach and education may be required to explain the system to landowners (Latawiec et al., 2014). It is likely that some form of credit or payment would be required to assist in the transition to silvopastoral systems. Some examples of these approaches exist in the literature from other regions and could be usefully applied in the study region of Madre de Dios, Peru

(Calle et al., 2009; Garbach et al., 2012; Cranford and Mourato, 2014).

5.3 Practical Next Steps

The growing demand for rehabilitation and reforestation projects could be met by the extension of this research into real world scenarios. The following discussion summarises some ideas and concepts that occurred as a result of this study and may be of use when considering how to translate these studies into action. In order to extend the interpretation of the results of this research it is necessary to replicate silvopastoral systems to many more sites, which would allow a sample of 322

silvopastoral systems to be directly compared, both between silvopastoral sites with common and contrasting site conditions and with alternative land uses. This could be done with the participation and local ecological knowledge of cattle farmers. A survey of farms could evaluate a farmer’s local ecological knowledge and their willingness and conditions to engage with the development of such trial silvopastoral systems.

The present study has described numerous benefits of silvopastoral systems accruing at the farm level. It is likely that landowners will require some assistance to initially adopt the system and over time will see the benefits and be incentivised by their own experience to continue to expand the system. Crucially, they would be involved in every stage, including the production of the plants from seed. Such an approach would ensure that in the future, once they are able to enjoy the benefits of the system they have the experience of all stages of the process to continue expanding the silvopastoral system on their farm and adapting the system to meet their own needs. The next step is transferring this technology to the farmers and supporting them to create the silvopastoral system that best fits their needs, and simultaneously create a baseline from which the system can be measured over time, in different contexts and thereby attract greater interest and investment.

7. Conclusion

Silvopastoral farming systems can make livestock farming more economically and environmentally sustainable when compared with traditional models of cattle farming in the Amazon. The use of robust and well-replicated on-farm experiments such as the one recommended by the framework in this thesis can be used to evaluate the considerable potential of locally adapted species for use in silvopastoral systems.

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When compared with conventional models of farming in the region, the silvopastoral system presented in this study provided gains in productivity, accruing as increased total biomass, an increase in available forage for cattle and the sequestration of carbon. Widespread adoption of silvopastoral systems on existing cleared land in the

Amazon could reduce the need for further deforestation, reverse the trend of pasture degradation and soil erosion, increase biodiversity in agricultural landscapes and contribute to the mitigation of climatic change.

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