Earth Interactions d Volume 14 (2010) d Paper No. 21 d Page 1
Copyright Ó 2010, Paper 14-021; 5588 words, 4 Figures, 0 Animations, 4 Tables. http://EarthInteractions.org
Land Use and Reactive Nitrogen Discharge: Effects of Dietary Choices
Gidon Eshel* Physics Department, Bard College, Annandale-on-Hudson, New York Pamela A. Martin and Esther E. Bowen Department of Geophysics, The University of Chicago, Chicago, Illinois
Received 26 December 2009; accepted 1 June 2010
ABSTRACT: Modern agriculture alters natural biological and geophysical processes, with magnitudes proportional to its spatial extent. Cultivation is also the main cause of artificially enhanced reactive nitrogen (Nr) availability in natural ecosystems. Sustainable food production should thus minimize Nr use while maximizing human-destined caloric output per acre. The authors dem- onstrate that it is possible to design realistic, nutritionally sound plant-based diets that require a quarter to a half of the Nr and a quarter to a third of the land the mean American diet’s animal-based portion does. Broad application of these findings (e.g., by incorporating environmental considerations into official dietary recommendations) would reduce food production’s environmental im- pacts dramatically. KEYWORDS: Sustainability; Agriculture; Nitrogen 1. Introduction Modern food production is environmentally costly (Galloway et al. 2003; Galloway et al. 2008; Gruber and Galloway 2008), depriving wildlife of needed habitats
* Corresponding author address: Gidon Eshel, Physics Department, Bard College, Annandale- on-Hudson, NY 12504–5000. E-mail address: [email protected]
DOI: 10.1175/2010EI321.1
Unauthenticated | Downloaded 09/26/21 11:51 PM UTC Earth Interactions d Volume 14 (2010) d Paper No. 21 d Page 2 (Gibbs et al. 2009; Flynn et al. 2009) and compromising what is left. Farming alters surface heat (A. K. Betts et al. 2007; R. A. Betts et al. 2007) and momentum (Thom 1975) budgets, disrupts soil flora (Steenwerth et al. 2005; Wu et al. 2007), and changes local hydrology (Gordon et al. 2008), with magnitudes proportional to spatial extent. Of prime additional concern is excess bioavailable (reactive) nitrogen (Nr; Galloway et al. 2003; Galloway et al. 2008), mostly because of fertilization (Car- penter et al. 1998; Socolow 1999). It promotes greenhouse gas emissions (Bouwman et al. 2002; Robertson et al. 2002); land surface, estuarine, and coastal ocean eutrophication (Seitzinger and Sanders 1997; Jordan and Weller 1996; Diaz and Rosenberg 2008); and harmful algal blooms (Paerl 1997). Prudent food production must therefore minimize Nr use (and thus discharge; Bergstro¨m and Brink 1986) while maximizing land’s human-destined caloric output. Nr use per human-edible calorie, the quotient of per acre Nr use and human-edible caloric yield, combines the two optimizations and is the relevant performance metric of food production systems in this context. Because Nr and land-use minimizations are coupled, their combined benefits may exceed the sum of the benefits of either one alone. Realizing the requisite optimizations will likely require both legislative means (Eshel 2010) and suitable personal dietary choices, which are our focus here. For either legislative or personal choices, simultaneous optimization is challenging, as optimizing different variables may result in different, even opposing, recom- mended diets. The main novel contribution of this paper is a simple method for guiding dietary choices. Employing the method to minimize Nr use while maxi- mizing caloric yield, we demonstrate that the animal-based portion of the mean American diet (MAD) requires 2–4 times more Nr and 3.2–3.8 times more land than plant-based diets. To our knowledge, ours is the first quantification of these two related performance metrics. Even individually, we know of no previous effort to minimize Nr use by dietary choices, and, although the general notion that plant- based diets are land efficient is not new, we found no previous quantitative com- parison of land demands of plant- and animal-based diets.
2. Approach 2.1. Plant-based versus animal-based food The central observation that motivates our approach to the land–Nr dual minimi- zation is the wide disparity in caloric efficiency and fertilizer use between animal- and plant-based diets. We consider the caloric yield per acre and Nr use per human-edible calorie of 43 plant-based foods (Figure 1) for which U.S. mean Nr and land-use data exist (U.S. Department of Agriculture 2008a; U.S. Department of Agriculture 2008b; U.S. Department of Agriculture 2008c; U.S. Department of Agriculture 2008d; U.S. Department of Agriculture 2008e; U.S. Department of Agriculture 2009a). Col- lectively, these plant staples account for 1849 kcal per person per day or 63% of the plant-based part of the MAD (United Nations 2008a). To compare the above land and Nr efficiencies to those of animal-based diets, we calculate next the efficiency of the MAD’s animal-based portion. In the 2003 gross (nonloss adjusted) MAD (United Nations 2008a), animal-based items contributed 1045 kcal per person per day. With the corresponding U.S. population, ;292 3 106,thisamountsto;1.12 3 1014 kcal yr21 nationally. To feed the animals that
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Figure 1. Caloric yield per acre and Nr use per human-edible calorie of animal- and plant-based foods. The range spanned by the MAD’s animal-based portion is shown in red, with the most likely value enclosed by the open square. The 43 plant-based items (solid circles) are divided into three categories: high Nr users (blue); low yielding low Nr users (magenta); and high yielding low Nr users (black). Names of items falling into each category are shown on the
right.X TheX greenX cross showsX weightedX meansX6 weightedX meanX deviations,X i ci y i = i ci 6 i ci jy i y j= i ci and i ci Nri = i ci 6 i ci jNri Nrj i ci , = i ci ., where i 5 [1, 43] is the plant item index and ci is the weighting variable, the item’s caloric contribution to the MAD. The top right presents [in units of 106 kcal (acre 3 yr)21 and g Nr (100 kcal)21] the means and ranges (minimum/maximum for the three groups and standard deviation for the whole set; in dark green). yielded those calories, the United States needed ;1.4 3 108 acres (Table 1 and ref- erences therein) for feed production. The gross national land-use efficiency of the MAD’s animal-based portion is therefore lanimal ’ 0.80 million kcal (acre 3 yr)21. The Nr intensity of land supporting the animal-based portion of the mean American diet can be estimated by considering the caloric yield of the principal animal feed crops in conjunction with their fertilization requirements (Table 2). As this calculation demonstrates, the best estimate of Nr intensity of land supporting the animal-based portion of the mean American diet is ;107 lb Nr (acre 3 yr)21, with the true value certainly falling between 84 and 129 lb Nr (acre 3 yr)21. The MAD’s land and Nr efficiency estimates (the coordinates of red line in Figure 1) reflect the whole animal-based portion (comprising beef, pork, dairy, etc.). Land and Nr efficiencies of each one of the considered plant items exceed our estimates for those of the MAD’s animal-based portion. Even when considering the lower bound of Nr demands of the MAD’s animal-based portion, only cauliflower proves slightly less efficient. Because of this unambiguous disparity, we tackle the minimization problem by comparing various plant-based diets to the MAD’s animal-based portion. Some may object to this thrust on the grounds that the seemingly inexorable rise in meat consumption (e.g., Speedy 2003) is inevitable. We consider this discussion—firmly rooted in the social sciences and culinary arts—largely outside the scope of this paper. Here, we simply wish to quantify the environmental costs of various dietary choices, and we expect market forces, along
Unauthenticated | Downloaded 09/26/21 11:51 PM UTC Earth Interactions d Volume 14 (2010) d Paper No. 21 d Page 4 Table 1. The major feed crops’ needed acreage 2001–06 means. Feed percentages for corn, sorghum, barley, and oats are taken directly from data (U.S. Department of Agriculture 2008b), whereas that of wheat is based on using Tables 1 and 13 of the wheat yearbook (U.S. Department of Agriculture 2008c) simultaneously. Soybean feed percentage is derived from 2000–03 data (U.S. Department of Agriculture 2008d), as described in the appendix. We use calculated ‘‘needed’’ rather than actual acreage to account for export–import imbalances. Total domestic Mean yield Needed land Needed feed Crop use (103 ton) (kg acre21) (103 acres) Percent feed land (103 acre-eq.) Corn 216 805 3671.4 59 053 56.5 33 365 Hay 152 667 2452.9 62 241 100.0 62 241 Soybean 42 041 1066.2 39 430 59.5 23 461 Wheat 32 646 1109.3 29 430 54.8 16 128 Sorghum 5352 1518.3 3525 42.2 1488 Barley 5111 1333.1 3834 30.6 1173 Oats 3091 901.2 3430 64.8 2222 Total 140 077 with unbiased pricing of natural resources, to dictate the degree to which our findings will affect actual diets. With the above efficiency disparities in mind, we thus devise hypothetical mixed plant-based diets from the 43 plant items (Figure 1), starting with daily diets and then combining those into annual ones, and compare the latter to the MAD’s animal-based portion and to alternative mixed diets.
2.2. Design of plant-based diets
2.2.1. Daily diets For nutritional adequacy, we require daily diets to comprise 3750 kcal (as in the actual MAD) and, following customary dietary recommendations assuming aver- age weight, at least 100 g protein and at most 110 g fat. Accounting for relative bulkiness of plant-based diets and the characteristic mass of the actual daily U.S. diet (United Nations 2008a), we also require each diet’s total mass not to exceed N (1550, 5) g,
Table 2. Nr application rates of the major feed crops (U.S. Department of Agriculture 2008a). Hay Nr application rates vary widely and are not currently recorded by the USDA. We therefore entertain the broad 100–200 lb Nr acre21 yr21 range, which spans (with comfortable margins) recommendations of USDA offices in major hay- producing states (Texas, California, Wisconsin, Kansas, and Missouri; e.g., Rayburn 2006; McKenzie 2005). Crop Needed (103 feed acre-eq.) U.S.-mean Nr application rate, lb (acre 3 yr)21 Corn 33 365 132 Hay 62 241 150 (100–200) Soybean 23 461 3 Wheat 16 128 56 Sorghum 1488 66 Barley 1173 56 Oats 2222 30 Total 140 077 Weighted mean 107 (84–129)
Unauthenticated | Downloaded 09/26/21 11:51 PM UTC Earth Interactions d Volume 14 (2010) d Paper No. 21 d Page 5 where N (m, s) denotes a normal distribution with mean m and variance s2.Put together, these requirements are
XM xi N(1550, 5) g, i51 XM eixi 5 3750 kcal, i51 XM pixi 100 g protein, and i51 XM f ixi 110 g fat, (1) i51 where M 43 is the number of food items the considered diet comprises; xi is the mass of food i; and ei, pi, and fi are its energy, protein, and fat content. In practice, the system (1) of coupled inequalities is solved using linear pro- gramming, as described in the online supporting information section of Eshel (Eshel 2010; see online at http://pubs.acs.org). To use linear programming, Equation (1) is recast as 0 1 0 1 x 0 1 11... 1 B 1 C N(1550, 5) B C B x2 C , B C B e1 e2 ... eM C B C 5 B 3750 C @ A @ . A . @ A, (2) p1 p2 ... pM . 100 x |fflfflfflfflfflfflfflfflfflfflfflfflfflfflfflfflfflffl{zfflfflfflfflfflfflfflfflfflfflfflfflfflfflfflfflfflffl}f 1 f 2 ... f M |fflfflfflffl{zfflfflfflffl}M |fflfflfflfflfflfflfflfflfflfflfflffl{zfflfflfflfflfflfflfflfflfflfflfflffl}110 A2R43M x2RM31 b2R431
5, where the meaning of ‘‘.’’ is made clear by comparing Equations (1) and (2) and the sought vector x holds the masses of the diet’s various food items, so that the elements of Ax are the diet’s total mass, energy, protein, and fat. We use the basic template of Equation (2) to construct multiple nutritionally sound daily plant-based diets. To obtain robust statistics and to reflect variability due to seasonality, location, cost, and taste, we construct 1500 such diets, em- ploying the following randomization [Monte Carlo (MC)] protocol. First, each diet comprises 18 items randomly chosen from the 43 items shown in Figure 1. The choice of 18 is somewhat arbitrary because individuals vary widely in terms of the typical number of food staples they consume on a given day. The choice is guided by balancing the number of combinations, 43 choose k drops rapidly with jk 2 21j, and our informal self-assessment of the characteristic number of distinct food staples we use in appreciable masses on a given day, ;15. The choice of 18 is roughly in the middle of the 15–21 range but close enough to 21 to permit a large number of combinations. We repeated some of the analyses reported here by choosing 16 or 20 daily items with very similar results. Second, in each of the 1500 daily diets, the permitted mass of each included item falls between N (60, 8) and N (150, 8) g. Diets containing garlic require special care because (due to garlic’s
Unauthenticated | Downloaded 09/26/21 11:51 PM UTC Earth Interactions d Volume 14 (2010) d Paper No. 21 d Page 6 high energy, high protein, low fat content, and minimal land requirements) the minimization algorithm often chooses unrealistically high garlic amounts. We therefore set a reduced permissible range for garlic of N (5, 2) to N (30, 2). The choices of 1) the 18 participating items, 2) their permissible mass ranges, and 3) the total daily mass form a ‘‘skeletal diet.’’ A skeletal diet becomes specific and unique when the actual masses xi of its 18 items are chosen. In making the final mass choices for individual plant items, each of the 1500 skeletal diets is used twice. In the first use, the mass of each of the 18 participating items is chosen from within the permissible ranges based only on meeting the mass, energy, protein, and fat content criteria, setting the land and Nr costs of all items to zero (see below). In the second use, those masses are chosen by linear programming minimization of Nr and land use that chooses the amounts of each of the 18 included items from within a randomly chosen combination of lower and upper bounds for each. Because linear programming can only minimize scalar cost functions, we minimize land and Nr use simultaneously by using the combined dimensionless cost vector: c c c 5 Nr 1 land . (3) sNr sland
In (3), the Nr costs cNr (in pounds of Nr per food gram), normalized by those costs’ (cNr elements’) standard deviation sNr, are added to the land costs cland (in acre 3 yr per food gram) normalized by their standard deviation sland.The normalization renders cNr and cland additive by nondimensionalizing them and roughly equalizes their role in setting a given food’s overall environmental cost because kcNr /sNrk/kcland/slandk ’ 0.98. This near-unity ratio is specific to Nr and land but need not hold for other environmental variables. In the general case of this ratio deviating appreciably from unity, it will make sense to arbitrarily inflate the smaller of the two terms so as to achieve near unit ratio, permitting both variables approximately equal sway over the solution. Note that this procedure readily gen- eralizes to more variables than two (Eshel 2010). The formal minimization problem arising in the second use of each skeletal diet is therefore minimize xTc subject to Equation (1) and xmin x xmax, i 5 [1, 18], where ( i i i min xi 5 max[0, N(60, 8)] foodi 6¼ garlic xmax 5 N(150, 8) ( i xmin 5 max[0, N(5, 2)] food 5 garlic i (4) i max xi 5 N(30, 2).
1 Each MC realization yields a daily diet by choosing the masses (xi,1 i 18) of 18 randomly chosen food staples. The mass choices are made within permitted
1 By employing linear programming, as described in technical details in the online supporting information section of Eshel (Eshel 2010).
Unauthenticated | Downloaded 09/26/21 11:51 PM UTC Earth Interactions d Volume 14 (2010) d Paper No. 21 d Page 7 Table 3. A randomly chosen daily diet constructed by solving Equation (4). The skeletal diet’s two compositions, both comprising exactly 3750 kcal and 110 g fat, are presented, with the right-hand diet land and Nr optimized and the left-hand diet unoptimized. Unconstrained Optimized Item g Item g Item g Item g Soy oil 155 Lemon 42 Peanuts 159 Soy oil 97 Wheat 148 Sweet cherry 34 Green pea 150 Lemon 42 Barley 145 Apple 31 Wheat 148 Sweet cherry 34 Green pea 137 Garlic 29 Potato 148 Garlic 29 Peanuts 136 Lettuce 28 Barley 145 Lettuce 28 Potato 43 Tomato 17 Apple 141 Tomato 17 Total protein 173 162 Total mass 1352 1544 ranges drawn randomly from the specified normal distributions. The random choices of items and their ranges represent realistic diets’ variability due to, for example, taste, activity, season, location, or food availability. The chosen food masses jointly minimize Nr and land requirements while meeting the nutritional criteria of Equation (1) so that daily diets are nutritionally adequate and environ- mentally optimal. Table 3 gives the optimized and unconstrained compositions of a sample daily diet, whereas Figure 2 shows summary statistics of the daily diets. The diets are diverse (Figure 2a; lesser items not shown) and meet basic nutritional adequacy
Figure 2. Some composition statistics of the 1500 MC 3750-kcal daily diets derived by simultaneous Nr and land or no minimization [minimizing xTc or not in Equation (4), thick/left and thin/right, respectively, for each shown item]. Tick marks (diamonds) display percentiles 2.5, 50, and 97.5 (means). Shown are (a) masses of the leading individual items (items whose masses repeatedly dominate the daily diet), (b) the diet’s total mass, and (c) the protein and fat contents. Garlic is shown in (a), despite its small charac- teristic chosen mass because if the particularly low bounds applicable only to garlic were lifted, it would have dominated nearly all daily diets that feature it. Although (a) shows only major items, (b) and (c) are based on the full daily diets.
Unauthenticated | Downloaded 09/26/21 11:51 PM UTC Earth Interactions d Volume 14 (2010) d Paper No. 21 d Page 8 Table 4. Bulk categorical caloric percent statistics of the annual diets. The left (right) four-column set corresponds to unconstrained (minimized) results [i.e., as in Figure 2, results obtain by not minimizing or minimizing xTc in Equation (4), respectively]. Minima, maxima, and means are derived from the 1000 annual diets. In dividing food items into the four categories, we use the popular view rather than the ana- tomical–botanical one (e.g., tomato is considered a vegetable). Corn oil is in- cluded in the oil category, not the grain category. Unconstrained Optimized Fruit Vegetable Grain Oils Fruit Vegetable Grain Oils Min 3.7 3.1 55.5 33.1 6.5 4.8 54.9 29.0 Mean 4.1 3.5 57.4 34.9 7.1 5.4 56.6 30.9 Max 4.5 4.1 59.2 36.8 7.7 6.0 58.6 32.8 criteria (Figures 2b,c). They also clearly favor high energy density, low environ- mental impact items such as barley, oats, and rice, which most optimal diets in- clude at the maximum mass allowed and which dominate such ancient cuisines as Chinese or Middle Eastern. P Note that, although the fat constraint is an inequality, i f ixi 110 g fat, most daily diets contain nearly or exactly the maximum fat mass allowed, 110 g (as can be inferred from the proximity of the fat content medians and means in Figure 2c to the bar tops, 110 g). This means that the fat mass constraint affects very strongly the diet composition so that, if the maximum permitted were increased, the extra allowed fat mass would have been nearly fully claimed in most cases, changing appreciably the diet’s composition. This is reflected in the randomly chosen sample diets in Table 3, whose top items are soy oil and peanuts. In light of our improved understanding of fat’s nutritional virtues and limitations (e.g., Willett 2005) and the refined view afforded by the breakdown into saturated and unsaturated fats (and finer distinctions within each group; Hunter et al. 2010), it may well be possible, indeed prudent, to relax the total fat mass constraint (or replace it with finer bio- chemical distinctions within lipids). 2.2.2. Annual diets Next, we use the 1500 daily diets to construct 1000 annual diets whose envi- ronmental performance can be compared with that of the MAD’s animal-based portion. Because realistic diets vary daily, each annual diet is the sum of 365 daily diets randomly chosen from the 1500 calculated. Categorical, bulk statistics of the annual plant-based diets are given in Table 4. For each annual diet, we sum the land and Nr needs of the 365 daily diets using the items’ nutritional data (U.S. De- partment of Agriculture 2009b) and their land and Nr requirements (Figure 1). We thus obtain the annual diet’s overall land and Nr use, which we express in Figure 3 as 106 kcal and lb Nr (acre 3 yr)21, respectively.
3. Results Plant-based diets outperform the MAD’s animal-based portion (Figure 3). The minimized and unconstrained plant-based diets appear rather similar. This is mostly due to the wide ranges of the axes in Figure 3, which are needed to accommodate the MAD’s animal-based portion. In fact, the clouds of minimized
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Figure 3. Land and Nr performance of realistic annual plant-based diets. Each personal annual diet is displayed as a dot. There are 1000 gray (black) dots corresponding to diets whose environmental costs are explicitly minimized (not minimized): that is, for which xTc [Equation (4)] is (is not) minimized while choosing the diet’s composition. The nonuniform tick mark values show the various central values. Note that, although the cost vector used for minimization is c [Equations (3) and (4)], the costs reported here are based on the dimensional costs cNr and cland. The top-left bar shows the corresponding range (and best estimate in open square) for the animal-based portion of the MAD. The horizontal axis is reported in two units, with the top axis reporting 1/10 of the reciprocal of the bottom axis’ values. and unconstrained diets are entirely nonoverlapping, and the mean minimized diet requires 85% of the land and 81% of the Nr that the mean unconstrained diet does. Although these differences are dwarfed by the differences between either of the plant-based diets and the MAD’s animal-based portion, an added 15%–20% effi- ciency is nontrivial. An acre devoted to producing the MAD’s animal-based portion requires 2–4 times as much reactive nitrogen as plant-based diets, while delivering 26%–30% of the human-edible calories. That is, in terms of Nr and land use, which is centrally important environmental performance metrics, plant-based diets impact the physical environment significantly less than animal-based ones. These results are perhaps more readily appreciated when the performance metrics are cast in terms of annual dietary needs of a person consuming a realistic ‘‘MAD like’’ diet comprising a total of 3750 kcal day21, with 3750 2 1045 5 2705 of those derived from plants. This recast comparison is summarized in Figure 4, and its details are as follows. Let a 5 2705/3750 ’ 0.72 denote the MAD’s plant-based caloric fraction and lk denote diet k’s land performance in kcal (acre 3 yr)21 shown along the horizontal axis of Figure 3. The annual per capita land requirements of that plant-based diet is
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Figure 4. Comparison of land and Nr requirements of various personal annual diets. Four diet types are considered: (bottom left) purely plant-based diets and (top right) mixed ones, each considered either with or without resource minimization [minimizing xTc of Equation (4)]. The nonuniform tick mark values show the various central values (the Nr means of the minimized/ unconstrained diet within each diet types are very close, so their com- bined means are shown by the vertical tick marks). Each dot is an annual personal diet with 365 3 3750 kcal. The plant-based diets are those shown in Figure 3, reexpressed in the shown units. The mixed diets comprise 1045 animal-based (2705 plant-based) kcal day21 (28% and 72%). The animal- based portion of mixed diets is assumed to be produced with the land efficiency shown in Figure 3, 0.8 3 106 kcal (acre 3 yr)21, and Nr efficiency randomly chosen from the [84, 129] lb Nr (acre 3 yr)21 interval. The re- quirements of the plant-based portion of each of the mixed diets are ;0.72 of those of a randomly chosen purely plant-based annual diet. See text for further details.