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1998 Meandering Processes and Channel Morphology in the Lower Mississippi River Prior to Major Human Disturbance. Paul Franklin Hudson Louisiana State University and Agricultural & Mechanical College
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Recommended Citation Hudson, Paul Franklin, "Meandering Processes and Channel Morphology in the Lower Mississippi River Prior to Major Human Disturbance." (1998). LSU Historical Dissertations and Theses. 6741. https://digitalcommons.lsu.edu/gradschool_disstheses/6741
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Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. MEANDERING PROCESSES AND CHANNEL MORPHOLOGY IN THE LOWER MISSISSIPPI RIVER PRIOR TO MAJOR HUMAN DISTURBANCE
A Dissertation
Submitted to the Graduate Faculty of the Louisiana State University and Agricultural and Mechanical College in partial fulfillment of the requirements for the degree of Doctor of Philosophy
in
The Department of Geography and Anthropology
by Paul Franklin Hudson B.S., Jacksonville University, 1991 M.S., University of Florida, 1993 August 1998
Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. UMI Number: 9902643
Copyright 1998 by Hudson, Paul Franklin
All rights reserved.
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Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. ©Copyright 1998 Paul Franklin Hudson All rights reserved
ii
Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. DEDICATION
This work and effort is dedicated to the memory of my best friend, Willford I.
Soud, who died in March of 1996. Willie was one of those rare individuals who took
the road less traveled, and didn’t look back. He was a writer, an independent thinker,
a scholar, lover of life, and an all around good guy. The world is a little bleaker
without him.
iii
Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. ACKNOWLEDGEMENTS
I would like to thank my doctoral advisor, Professor Richard H. Kesel, for his
assistance and effort in this project and during my graduate training at LSU. Thanks also
to my committee members for their support and insight, and for being good people, Dr.
Anthony Lewis in the Department of Geography and Anthropology, Dr. Gregory Stone
and Dr. Harry Roberts in the Coastal Studies Institute, and the Dean’s representative, Dr.
Jeffery Nunn in the Department of Geology.
I would like to thank the Robert C. West and the Richard Russell Field Research
Fund for financial support for my travels to Vicksburg, MS. I would also like to thank
DeWitt Braud and Farrell Jones in the Department of Geography and Anthropology for
research assistantships and sum m er funding, and for their knowledge of GIS and remote
sensing. I certainly wish to thank my friends and colleagues in Geography and
Anthropology, Michael Steinberg, Steven Rainey, Phillip Chaney, Michael Hawkins,
everyone of the CMSL crew, and many others far too numerous to mention 'who made
this experience more enjoyable, and even bearable. Also, a toast to the “draft-horse
scholars”, who find a way to get it done.
1 would also like to thank those who have helped me in the past, and continue to
encourage. In particular this includes Joann Mossa in the Department of Geography at
the University of Florida who first introduced me to fluvial geomorphology, and Ray
Oldakowski at Jacksonville University who encouraged me to pursue my interests in
graduate school. A warm and special thanks to Julianne Marie Walsh for helping me get
“there”. Lastly, I would like to thank my family, particularly my mom and dad, for I
would not have been here if it hadn’t been for the excellent example they set
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Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. TABLE OF CONTENTS
DEDICATION...... ii
ACKNOWLEDGEMENTS...... iv
LIST OF TABLES...... viii
LIST OF FIGURES...... x
ABSTRACT...... xiii
CHAPTER 1. INTRODUCTION...... I 1.1 OVERVIEW AND RESEARCH PROBLEM...... 1 1.2 PURPOSE...... 5 1.3 RESEARCH OBJECTIVES...... 5 1.4 APPROACHES TO MEANDERING PROCESSES...... 6 1.5 CHANNEL PATTERN AND ADJUSTMENT...... 8 1.6 RESEACH DESIGN...... 15
CHAPTER 2. PHYSICAL SETTING...... 17 2.1 DISCHARGE AND SEDIMENT REGIME...... 17 2.2 GEOLOGIC SETTING...... 24 2.3ALLUVIAL FLOODPLAIN...... 26 2.4 DELTAIC PLAIN...... 31
CHAPTER 3. DATA AND METHODS...... 32 3.1 HYDROGRAPHIC SURVEYS...... 32 3.2 GEOGRAPHIC INFORMATION SYSTEMS...... 33 3.2.1 Conversion to Vector Format, Channel Segments 33 3.2.2 Error...... 34 3.3 PRIMARY VARIABLES...... 35 3.3.1 Migration Rates...... 35 3.3.2 Channel Width ...... 37 3.3.3 Bankfull Channel Width ...... 37 3.3.4 Radius of curvature ...... 38 3.3.5 Sinuosity ...... 38 3.3.6 Thalweg, Pools and Riffles ...... 38 3.3.7 Bed Material ...... 39 3.3.8 Valley Slope...... 39 3.4 ANALYSIS OF DATA...... 41
CHAPTER 4. SPATIAL AND TEMPORAL TRENDS...... 43 4.1 OVERVIEW...... 43 4.2 LONGITUDINAL PROFILE...... 43
v
Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 4.3 PLANFORM MORPHOLOGY...... 48 4.3.1 Channel Width ...... 48 4.3.2 Radius of Curvature ...... 53 4.3.3 Sinuosity ...... 56 4.4 CHANNEL MIGRATION...... 56
CHAPTER 5. PLANFORM ADJUSTMENT AND CHANNEL MIGRATION...... 63 5.1 OVERVIEW...... 63 5.2 PLANFORM INTERRELATIONSHIPS...... 63 5.2.1 Sinuosity and Radius of Curvature ...... 63 5.2.2 Sinuosity and Channel Width ...... 68 5.2.3 Radius of Curvature and Channel Width ...... 68 5.3 DOWNSTREAM TRENDS...... 69 5.4 VALLEY SLOPE AND CHANNEL ADJUSTMENT...... 72 5.5 RELATIONSHIPS BETWEEN BED MATERIAL AND CHANNEL PATTERN...... 78 5.6 CHANNEL CURVATURE AND CHANNEL MIGRATION... 83 5.7 CONTROLS ON MEANDER BEND MIGRATION ...... 85
CHAPTER 6. POOL AND RIFFLE MORPHOLOGY...... 90 6.1 INTRODUCTION...... 90 6.2 SPATIAL AND TEMPORAL TRENDS IN POOL - RIFFLE MORPHOLOGY...... 90 6.3 RELATIONSHIPS BETWEEN POOL - RIFFLE MORPHOLOGY AND CHANNEL WIDTH...... 94 6.4 RELATIONSHIPS BETWEEN POOL - RIFFLE MORPHOLOGY WITH VALLEY SLOPE...... I l l 6.5 RELATIONSHIP BETWEEN POOL - RIFFLE MORPHOLOGY AND BED MATERIAL...... 113 6.6 RELATIONSHIP BETWEEN POOL - RIFFLE MORPHOLOGY WITH PLANFORM MORPHOLOGY...... 117
CHAPTER 7 - DISCUSSION, CONCLUSIONS, AND FUTURE RESEARCH...... 120 7.1 DISCUSSION ...... 120 7.1.1 Mechanisms of Channel Change ...... 120 7.1.2 Influence of Sediment and Valley Slope ...... 122 7.1.3 Linking Pool and Riffle Morphology with Meandering Processes...... 124 7.1.4 Significance and Contribution ...... 127 7.2 CONCLUSIONS ...... 129 7.3 FUTURE RESEARCH ...... 131
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Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. REFERENCES...... 133
VITA...... 145
vii
Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. LIST OF TABLES Table:
1.1 Significant variables influencing channel morphology of the Lower Mississippi River during modem time 101 -lCr ...... 2
1.2 Selected papers representative of the hydrodynamic and the morphologic approach to meandering processes in rivers ...... 7
4.1 Summary statistics for pool depth and pool to pool distance ...... 46
4.2 Results of Independent t-test used to compare pool spacing and depth in the alluvial valley and the deltaic plain ...... 47
4.3 Results of Paired Samples t-test between pool depth and pool to pool distance to detect if there was a significant temporal change between the 1880 and 1911 surveys ...... 49
4.4 Summary statistics for sinuosity, radius of curvature, and channel width ...... 51
4.5 Results of Paired Samples t-test to examine change over time in sinuosity, radius of curvature, and channel width ...... 52
4.6 Summary statistics for average migration rates (m/km/yr) and maximum migration rates of meander bends (m/yr) ...... 61
5.1 Correlation matrix of channel variables and controlling variables, Cairo to Head of Passes ...... 65
5.2 Correlation matrix of channel variables and controlling variables, alluvial valley...... 66
5.3 Correlation matrix of channel variables and controlling variables, deltaic plain ...... 67
5.4 Summary data for valley slope sections ...... 71
5.5 Results of simple and multiple regression models for estimating channel migration ...... 86
6.1 Summary statistics for pool spacing and channel widths ...... 95
6.2 Results of Independent t-test for channel widths of pools and riffles ...... 96
Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 6.3 Paired t-test of pools and riffles...... 97
6.4 Independent t-tests of channel widths of pools and riffles ...... 103
6.5 Pearson correlation coefficients curvature and pool parameters ...... 116
ix
Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. LIST OF FIGURES
Figures
1.1 Theorized magnitude of influence of human modifications to the Lower Mississippi River system...... 4
1.2 Characteristics representation of planform, cross-sectional, and Longitudinal channel dimensions with their suggested form-relationships. 9
1.3 Form-process relationship between meander bend migration rates and channel curvature ...... 12
1.4 Classification of channel pattern based on the dominant mode of sediment transport ...... 14
2.1 Mississippi River drainage basin ...... 18
2.2 Average discharge (cms) for mean low and high stages, and for the 1927 flood, the largest flood on record ...... 20
2.3 Total annual suspended sediment load for the Lower Mississippi River below New Orleans ...... 21
2.4 Distribution and proportion of bed material for die Lower Mississippi River prior to the change in sediment regime ...... 23
2.5 Quaternary geology of the Lower Mississippi River Valley...... 25
2.6 Cross-section of the Lower Mississippi River Valley...... 27
2.7 Depositional environments of a Lower Mississippi River meander belt ridge ...... 29
3.1 Meander bend segment for 1880 and 1911 showing methods of determining migration rates...... 36
3.2 1932 bed material, da* (mm) ...... 40
4.1 1880 thalweg elevation (MASL) of the Lower Mississippi River ...... 44
4.2 Low Water Channel width for 1880,1911, and percent change ...... 50
4.3 Radius of curvature for 1880,1911, and percent change ...... 54
x
Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 4.4 Sinuosity for 1880, 1911, and percent change ...... 55
4.5 1880 and 1911 surveys showing superimposed channels ...... 58
4.6 Average migration (m/km/yr) for channel segments...... 59
4.7 Maximum migration (m/yr) for meander bends ...... 60
5.1 Change in radius o f curvature between 1880 and 1911 ...... 64
5.2 Profile of elevation sampled at 2 mi intervals along the Lower Mississippi River meander belt ridge ...... 70
5.3 Percent change in sinuosity, radius of curvature, and width ...... 73
5.4 Relationship between valley slope and sinuosity ...... 75
5.5 Relationship between valley slope and radius of curvature ...... 76
5.6 Relationship between valley slope and width ...... 77
5.7 Relationship between bed material and sinuosity ...... 79
5.8 Relationship between bed material and radius of curvature ...... 80
5.9 Relationship between bed material and width ...... 81
5.10 Relationship between maximum migration of meander bends with channel curvature, Tc/W ...... 82
6.1 Location of pools and riffles along channel thalweg, 1-600 km below Cairo...... 91
6.2 Location of pools and riffles along channel thalweg, 600-1200 km below Cairo...... 92
6.3 Location of pools and riffles along channel thalweg, 1200 to Head of Passes ...... 93
6.4 Frequency of pool spacing by channel widths, Cairo to Head of Passes ...... 99
6.5 Frequency of pool spacing by channel widths, Cairo to Red River Landing ...... 100
xi
Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 6.6 Pool spacing by channel widths, Red River Landing to Head of Passes ...... 101
6.7 Relationship between distance between pools and channel widths, Cairo to Head of Passes ...... 105
6.8 Relationship between distance between pools and channel widths, Cairo to Red River Tending ...... 106
6.9 Relationship between distance between pools and channel widths, Red River Landing to Head of Passes ...... 107
6.10 Relationship between pool depth and channel widths, Cairo to Head of Passes ...... 108
6.11 Relationship between pool depth and channel widths, Cairo to Red River Landing ...... 109
6.12 Relationship between pool depth and channel widths, Red River Tending to Head of Passes ...... 110
6.13 Relationship between valley slope and distance between pools ...... 112
6.14 Relationship between valley slope and pool depth ...... 114
6.15 Relationship between the distance between pools and pool depth ...... 115
7.1 Control of channel activity by clay plugs ...... 123
7.2 Long-profile of bedrock and older sediments in the Lower Valley ...... 125
xii
Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. ABSTRACT
Although the Lower Mississippi River has been intensively studied, few
studies have investigated meandering processes in the river when the channel was
considered to be relatively free of major human disturbance. This research is
significant in that it provides a detailed examination of meandering processes and
channel adjustment in a large fine-grained alluvial setting, offering a departure from
the base of knowledge on this topic that has evolved from studies on smaller coarse
grained river systems. The study spans the entire length of the Lower Mississippi
River (1,704 km), from Cairo, IL to Head of Passes, LA. Two sets of hydrographic
surveys (scale, 1:20,00) completed between 1877 and 1922 provide the primary source
of data. Each survey was segmented into individual meander bends and straight
reaches, digitized, and entered into a G1S for analysis of channel processes. Several
techniques were employed to examine spatial and temporal change, and
interrelationships between channel parameters and controlling factors, including;
simple and multiple linear regression analysis, Independent and Paired t-tests, and
Pearson correlation coefficients.
Two major meandering regimes are identified, which coincide with the
boundaries of the alluvial valley and deltaic plain. Channel morphology in the alluvial
valley is characterized by its planform morphology having a sinuous laterally
migrating channel. Although the cohesive sediments in the deltaic plain reduce lateral
migration, the river is able to scour the channel bed into a uniform pool and riffle
morphology. Migration rates for channel segments in the alluvial valley and deltaic
xiii
Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. plain averaged 26.7 and 3.3 m/km/yr, respectively. Analysis of meander bend
migration rates with the adjustment of channel curvature between the two surveys
suggests an equilibrium meander bend curvature, rc/W, between 3.0 and 4.0. Spatial
trends in sinuosity, channel width, and radius of curvature do not conform to common
downstream patterns due to the lack of a downstream trend in discharge. The
planform morphology in the alluvial valley increased in sinuosity and decreased in
radius of curvature, as meander bends became increasingly arcuate. However, channel
width and the pool and riffle morphology did not significantly change during the study
period.
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Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. CHAPTER 1 INTRODUCTION
1.1 OVERVIEW AND RESEARCH PROBLEM
Alluvial rivers attempt to adjust their channel morphology towards an
equilibrium profile (Leopold et al. 1964). The actual mode of adjustment may vary in
response to a number of controlling variables (Table 1.1). The study of meandering
processes of alluvial river systems has long been an important topic of investigation
within fluvial geomorphology (Petts 1995). In general, two major approaches have
been employed; a hydrodynamic approach which seeks to relate channel form to their
causal mechanisms (e.g. Langbein and Leopold 1966; Yang 1971; Bathurst 1979;
Bridge 1984; Dietrich 1987), and a morphologic approach which often relies on
statistics to examine relationships between various indices of channel form and
controlling variables (e.g. Leopold and Wolman 1957; Brice 1973; Schumm 1963;
Ferguson 1975; Williams 1986). However, in spite of advances in recent decades
linking form and process in meandering rivers, many questions remain concerning the
adjustment of channel morphology in an actively migrating river (Petts 1995).
Although the planform morphology of meandering rivers has received a great
deal of attention, fewer studies have examined their interrelationships with the
adjustment of the cross-sectional and longitudinal channel morphology in the context
of a migrating channel. This may be due to the difficulty in acquiring adequate data
sets for large rivers owing to their longer history of disturbance, and the substantial
Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. Table 1.1. Significant variables influencing channel morphology of the Lower Mississippi River during modem timeloMO2 (after Schumm and Lichty 1965).
Param eter Description Significance to Lower Mississippi River Processes Valley Dimensions Slope o f modem surface Major determinant of system energy, local variations may result in channel pattern change Depth to older surface Possible contact with bedrock or older sediments Width Determines width of zone of active migration and floodplain reworking, amplitude of meander bends Neotectonics Uplift domes, fault zones Alter energy gradient of valley profile, uplift bedrock or resistant sediments into channel, bank caving Older Valley Deposits Grain size, cohesiveness Influence on sediment regime and channel processes Floodplain Deposits Point-bar (coarse-grained) Erosive, active channel changes Natural levee (coarse-grained) Erosive, active channel changes Clay plugs (fine-grained, Resistant, retards lateral migration, cohesive) asymmetric meander bend patterns Backswamp (fine-grained, Resistant, retards lateral migration, cohesive) non-uniform channel patterns Deltaic Plain Deltaic deposits (fine-grained, Lack of erosion and development of cohesive) meander bends, straight channel Sediment Regime Fine-grained Channel narrowing, reduced lateral migration Coarse-grained Wide channel, increase in lateral migration Discharge Smooth hydrograph, seasonal Bank caving events during receding flooding hydrograph Human Agency Dams and reservoirs, Iand-use Change to discharge and sediment changes in upper basin regime
Engineering structures on Revetments restrict lateral migration, main-stem channel changes cut-offs shorten channel length and increase channel slope, levees contain flood waters and sediment within the channel
2
Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. resources necessary to survey the channel for different time periods. The majority of
studies have examined coarse grained or gravel bed channels, thus providing a bias in
sedimentary setting. This is significant given the importance of sedimentary controls
on fluvial processes (Dietrich 1987). Additionally, large river systems have been
neglected due to the majority of studies having focused on small river systems and
laboratory flumes (Petts 1995). This represents a significant gap in the literature
(Dietrich 1991; Hooke 1995; Kesel et al. 1992), as the complexity of response between
causal mechanisms increases with spatial scale (Schumm 1991; Lawler 1993). Thus
the Lower Mississippi River offers an exception to many of the systems commonly
reported in the literature which form the base of knowledge on this topic, in that it is
much larger and has a relatively fine grained sediment regime.
The Lower Mississippi River is considered a classic example of a meandering
alluvial river (Fisk 1944), and represents an ideal setting in which to examine a
number of issues related to meandering processes and channel adjustment However,
the modem channel represents one of the most intensively regulated rivers in the
world. Since the early-1900s the system has undergone significant modification in the
form of main-stem channel changes and a reduction in sediment supply (Figure 1.1).
While the changes have been well documented, few studies have examined
meandering processes prior to the introduction of these changes to the system. The
majority of studies have examined the river following the major engineering works of
the mid-1900s (e.g. Anding 1970; Assifi 1966; Hannan 1969; Winkley 1977), and
have tended to focus on specific reaches of the river rather than considering the river
as a dynamic system. However, two series of hydrographic surveys (scale 1:20,000)
3
Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. DEVELOPMENT
NEW MADRID E.O. NEOTECTONICS DELTA PROGRADATION LAND USE CHANGE LEVEES DIKES 5 4 TMeom&D HHATtVt MACMTUOa REVETMENTS (UPRIVER) 3 or oevttofMCNTs DAMS 2 DREDGING CONTINUING IMPACT GRAVEL MINING — >> (?) ouesTiONAuc toNcevnv CUTOfFS O f IMPACT OLD RIVER DISTRIBUTARY CONTROL STRUCTURE
1800
Figure 1.1. Theorized magnitude of influence of human modifications to the Lower Mississippi River system. Major developments effecting the fluvial system during the study period, indicated by the dotted vertical lines, were land use changes in the upper basin. The majority of large-scale engineering works occurred after 1930 (modified from Kesel 1988).
Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. published by the Mississippi River Commission during the late 1800s and early 1900s
document the morphologic characteristics of the natural channel regime prior to most
major human modifications. Soundings taken at approximately 250 m intervals along
the channel allow major bedforms and channel dimensions to be measured. By
employing a Geographic Information System (GIS), the two surveys may be
superimposed for analysis of channel adjustment during the period of this study.
1.2 PURPOSE
The purpose of this research is to contribute to the understanding of
meandering processes in the Lower Mississippi River by examining the
interrelationships between the adjustment of channel morphology with
sedimentological and valley controls, and to gain an understanding of the natural
channel regime prior to major human disturbance.
This research is significant in two major areas. It provides a detailed
examination of meandering processes and channel adjustment in a large fine-grained
alluvial setting, thus offering a departure from the base of knowledge on this topic that
has evolved from studies on smaller coarse-grained river systems. Secondly, it
provides a base-line understanding of the natural channel regime of the Lower
Mississippi River, which is essential for establishing the changes that have occurred
due to human modifications.
1.3 RESEARCH OBJECTIVES
The objectives of this study are directed at gaining a better understanding of
meandering processes in the natural channel regime of the Lower Mississippi River.
The primary objectives are to:
5
Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 1) Characterize the channel morphology of the Lower Mississippi River prior to the
major engineering projects of the early to mid-1900s;
2) Examine the interrelationships between planform pattern and migration rates with
the cross-sectional and longitudinal channel morphology;
3) Determine the influence of the sediment regime and valley controls on meandering
processes in the Lower Mississippi River;
4) Contribute to the body of literature on meandering processes in large alluvial
settings.
1.4 APPROACHES TO MEANDERING PROCESSES
The hydrodynamic and morphologic approaches to meandering processes differ
fundamentally in their assumptions and perspective (Table 1.2). The morphologic
approach may be advantageous in the study of historic channel change for several
reasons. The hydrodynamic approach to meandering processes is heavily grounded in
the principles of physics, and many of the advances in this frontier have occurred
within laboratory settings using hydraulic flumes. Often fluid and sediment transport
mechanics are employed in equations that seek to predict channel form and adjustment
in response to variations in energy expenditure and boundary conditions. From the
hydrodynamic perspective, the adjustment of channel morphology towards an
equilibrium profile occurs so that rivers minimize their variance of energy expenditure
(Langbein and Leopold 1966; Yang 1971). Each adjustment effects channel form
resistance, and uniquely controls the dissipation of energy within the channel (Leopold
and Wolman 1960; Maddock 1969; Richards 1982; Knighton 1998). Rigorous data
assumptions and the deductive nature of this approach make the issue of transcending
6
Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. Table 1.2. Selected papers representative of the hydrodynamic and the morphologic approach to meandering processes in rivers.
HYDRODYNAMIC APPROACH Author/s) Setting Topic of Research Leopold and Range of settings Pattern of meandering rivers related to theory Wolman 1960 of flow mechanics Tanner 1960 Inclined glass plate Meandering related to helicoidal flow and turbulence Einstein and Shen Flume, University of California, Meandering pattern related to upper flow 1964 Berkeley, CA, U.S. regime Langbein and Numerous rivers in Wyoming, Meanders form to reduce variance of energy Leopold 1966 U.S. expenditure Yang 1971 Popo Agie River, Hudson, WY, Meander forms and pool riffle morphology secondary sources related to rate o f energy expenditure Bridge and Jarvis River South Esk, Glen Cova, Bed topography of a migrating meander bend 1976 Scotland related to flow and sediment transport mechanics Bathurst 1979 Upper River Severn, Wales; Distribution of shear stress within a meander Upper River Swale, Britain; bend Colorado irrigation canals Dietrich and Muddy Creek, Wyoming, U.S. Channel meandering and equilibrium related Smith 1984 to flow and sediment transport mechanics Thompson 1985 River Skirden Beck, northwest Secondary flow structures of pool and riffle Britain morphology related to development of meandering pattern S. Dceda 1989 Lower Wabash River, IL and IN, Lateral sorting of bed material in meander U.S. bends related to channel slope MORPHOLOGIC APPROACH Leopold and Rivers from different settings, Continuum o f channel patterns between Wolman 1957 flume experiments braided, meandering, and straight rivers related to discharge and channel slope Schumm 1960, Midwestern U.S. Sinuosity and W/D related to % silt-clay in 1963 bank material Chang and Wabash River, White River, Radius o f curvature and channel width related Toebes 1970a Indiana, U.S. to channel slope, discharge, and regional geology Brice 1974 Secondary data, U.S. Planform geometry analysis of meander bend evolution and classification Hickin and Beatton River, northeast British Migration rates related to channel curvature Nanson 1975 Columbia, Canada Hooke 1977 River Culm, River Axe, Britain Planform pattern and migration rates Williams 1986 Range of settings Meander geometry related to mean and bankfiill channel area and width and mean depth Rosgen 1994 450 rivers in a range of settings in River classification based on sinuosity, U.S., Canada, and New Zealand entrenchment, W/D, and slope van den Berg Rivers spanning a range of scale Channel planform pattern related to bed 1995 and settings material and valley slope Harbor 1998 Sevier River, Utah, U.S. Channel adjustment to changing valley slope
7
Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. scale and setting problematic (Baker 1988; Richards 1982; Petts 1995). In contrast,
the morphologic approach emphasizes an empirical perspective, employing statistics to
analyze morphologic parameters. Findings often lead to morphologic relationships
between various channel parameters. Most of the significant advances on the topic of
channel adjustment in meandering systems have utilized this approach. Although,
during the past couple of decades with the advent of more sophisticated
instrumentation, studies combining both approaches have yielded promising results
(e.g. Richards 1976; Bridge 1977; Thompson 1986; Dietrich and Gallinatti 1991;
Clifford and Richards 1992).
1.5 CHANNEL PATTERN AND ADJUSTMENT
There is considered to be a strong relationship between the planform pattern of
rivers and the cross-sectional and longitudinal channel morphology (Richards 1982).
This is often represented in the literature by specific channel parameters commonly
being associated with meander form (Figure 1.2) (Leopold and Wolman 1957;
Ferguson 1975; Chang and Toebes 1970a; Keller and Melhom 1978; Williams 1986).
For example, the pool and riffle sequence is a fundamental component of the
longitudinal perspective (Richards 1976), and is often associated with specific features
of a river’s planform morphology, with pools located downstream of the apex of
meander bends and riffles found in reaches between meander bends (Leopold et al.
1964; Keller 1972; Keller and Melhom 1978; Harvey 1975; Thompson 1986). Closely
related to this are characteristic cross-sectional channel forms that are related to
meander bends and straight reaches. Cross-sectional channel morphology typically
displays asymmetry and lower width to depth ratios at meander apices, and channel
8
Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. Planform
Cross-sectional
.Channel slope
Longitudinal
Riffle Riffl. Pool Pool
Channel distance
Figure 1.2. Characteristic representation of planform, cross-sectional, and longitudinal channel dimensions with their suggested form-relationships.
9
Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. symmetry with higher width to depth ratios at riffles located in straight reaches
between meander bends (Dietrich and Smith 1983; Richards 1978; Richards 1982;
Konditerova and Popov 1966; Milne 1979; Knighton 1981, 1982). While the most
recognizable adjustment of a meandering river channel is in the planform dimension, a
meandering river also adjusts its channel in the cross-sectional and longitudinal
dimension (Langbein and Leopold 1966; Yang 1971). However, these dimensions of
channel morphology are usually not considered with studies of meandering processes
(Hooke and Harvey 1983; Hooke 1984; Howard 1987). In order to gain a
comprehensive understanding of channel processes in meandering river systems, it is
necessary to consider the adjustment of the longitudinal and cross-sectional channel
geometry within the context of a laterallymigrating river.
A number of studies have shown that there may be a continuum of channel
patterns which are related to a combination of controlling variables (Leopold and
Wolman 1957; Schumm 1977; Mosley 1987; Knighton and Nanson 1993; Rosgen
1994; van den Berg 1995; Alabyan and Chalov 1998). Variables used to discriminate
between channel patterns include; channel slope-discharge (Lane 1957; Leopold and
Wolman 1957), stream power (Schumm and Kahn 1972; McEwen 1994; van den Berg
1995; Alabyan and Chalov 1998), and the sedimentary characteristics of the channel
perimeter (Carson 1984; Schumm 1960, 1963; Jionxian 1991; Ebisemiju 1994). The
implication of this approach is that a change in the independent variable will result in
an adjustment in form towards a different channel pattern. Of issue is the magnitude
of change which may occur when a critical threshold is crossed (Schumm 1977). For
example, a slight increase in channel slope may result in a disproportionate change in
10
Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. channel pattern if the system is close to a threshold (Schumm and Kahn 1972;
Schumm 1980; Winkley 1977). More recent studies have refuted this and suggest that
abrupt thresholds may not exist. Instead, rivers may experience a transition in form as
a series of smaller channel adjustments are made to accommodate the change in the
driving variables (Ferguson 1987; Rosgen 1994; van den Berg 1995). This may be
scale related, as the size and complexity of a system increases the sensitivity of a
system to change when a single variable is modified may be reduced (Schumm 1991).
In spite of the advances made in recent decades, there lacks a comprehensive model
which relates channel pattern and change to the independent variables of discharge,
valley slope, and sediment type (Knighton 1987; Schumm et al. 1994).
Channel patterns and rates of meandering may vary widely over the course of a
stream channel (Hooke 1977, 1980, 1995; Laczay 1977) and within individual
meander bends (Hooke and Harvey 1983; Ferguson 1977), so that rivers may vary
considerably in meander geometry (Brice 1974; Ferguson 1975). Channel curvature,
defined as the ratio of the radius of curvature (rc) to channel width (W), is considered
an important control on migration rates due to its influence on the distribution of
boundary shear stress (Callander 1978; Hickin and Nanson 1975; Bathurst 1979).
Rates of lateral migration have often been shown to increase where tJ w values range
from 2.0 to 3.0 (Figure 1.3). Keller (1972) developed a five-stage model for alluvial
rivers which relates meander migration with pool and riffle morphology. Pool and
riffle units developed as meander bends increased in length, which maintained pool
spacing at a constant 5 to 7 channel widths. Studies by Hooke and Harvey (1983) and
Thompson (1986) have substantially contributed to the comprehension of the causal
11
Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. a> A 2 a 0 100 s
_L_L_L 0 1 2 3 4 5 Meander bend curvature, r/W
Figure 1.3. Form-process relationship between meander bend migration rates and channel curvature, r /W . Maximum migration rates are associated with r/W of 2.0 to 3.0 (modified from Hickin 1974).
12
Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. mechanisms of this occurrence by emphasizing the role of flow dynamics as a linkage
between pool and riffle morphology and meander bend migration. Beyond a critical
path length of approximately 10 channel widths a new riffle unit is added, leading to
an increase in erosion and eventually to the development of a new meander bend.
While a river may vary considerably in meander pattern and rate of lateral
migration, a single meander bend can be seen as having an orderly pattern of erosion
and deposition. As .such, meander bends can be seen as dynamic sediment transfer
systems, involving erosion on the cut-bank and deposition on the inside of the channel
(Knighton 1998; H. Ikeda 1989). Sediments comprising the channel perimeter are of
importance because of their influence on channel form (W/D) and rate of lateral
migration (Friedkin 1945; Fisk 1952; Schumm I960, 1963; Rohrer 1984). Leopold
and Maddock (1953) suggest a wide channel (high W/D) is necessary where a river
transports a high proportion of its sediment as bed load. Schumm (1977) derived a
classification of alluvial channels based on the mode of sediment transport (suspended
load, mixed load, and bed load) and channel pattern. The shape (W/D), slope, and
stability of the stream channel are seen as related to stream power and fire amount and
size of sediment transport (Figure 1.4). The general consensus of the literature has
shown that as the percentage of silt and clay in the bed and bank material increases,
lateral migration decreases, W/D decreases, and channel stability increases (Alexander
and Nunnally 1972; Ebisimiju 1994; Fisk 1952; Kolb 1963; Hooke 1980; H. Ikeda
1989; Jiongxin 1991; Miller and Onesti 1979; Schumm 1960, 1963).
Although meandering processes involve interactions among various
dimensions of the channel morphology (Richards 1982), it is necessary to consider the
13
Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. CHANNEL TYPE Suspended Load Mixed Load Bed Load
O o X * C c c . c
Figure 1.4. Classification of channel pattern based on the dominant mode of sediment transport. The adjustment of channel morphology is considered with respect to a number of variables (modified from Schumm 1977).
14
Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. river system within the context of the geologic setting (Schumm et al. 1994). The
sediment and discharge regime of an alluvial river are often considered the dominant
controls on channel form (Leopold and Maddock 1953; Leopold and Wolman 1957).
However, valley controls, such as older sediments and bedrock forming the valley
perimeter, neotectonics, and valley slope also have significant control on channel form
and process over varying temporal and spatial scales (Adams 1980; Gregory and
Schumm 1987; Bumett and Schumm 1983; Fisk 1944; Winkley 1994; Saucier 1994;
Orlowski et al. 1995; Harbor 1998). This is important because variations in these
controls may account for downstream spatial irregularities in channel pattern. For
example, when an alluvial river encounters an increase in valley slope (increase in
energy) the river may adjust its channel in several ways. The mode of adjustment may
vary, but can include; lateral migration and an increase in sinuosity (Schumm and
Kahn 1972; Hooke and Harvey 1983), channel incision resulting in a decrease in
channel slope, an increase in width to depth ratio in the cross-sectional dimension, or
by increasing resistance in the longitudinal dimension by altering the pool and riffle
morphology (Knighton 1998).
1.6 RESEARCH DESIGN
This study adapts a morphologic approach to examine meandering processes
and channel morphology in the Lower Mississippi River over a 31 year span of time
during the late 1800s and early 1900s. Two series of hydrographic surveys (scale
1:20,000) competed by the Mississippi River Commission provides the primary source
of data. The surveys are superimposed in a GIS, which allow channel segments
consisting of both meander bends and straight reaches to be delineated. Sediment data
15
Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. and morphologic indices characterizing each channel segment are compiled in a
database for analysis of correlative and causal relationships between various indices of
channel form and change over time.
16
Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. CHAPTER 2
PHYSICAL SETTING
2.1 DISCHARGE AND SEDIMENT REGIME
Draining a variety of climatic and geologic settings, the Mississippi River
drains 3.23xl06 km2, making it the largest drainage basin in North America (Figure
2.1). The Lower Mississippi River begins at the confluence of the Middle Mississippi
and Ohio Rivers, at Cairo, IL. Prior to the cut-offs of the 1930s, the river flowed over
1700 km to the Gulf of Mexico, where it discharged its sediment laden waters through
multiple bifurcating distributary channels at Head of Passes, LA. Five drainage basins
contribute streamflow to the Lower Mississippi River, including the Missouri
(1.37xl06 km2) and Arkansas (0.49xl06 km2) River basins draining the arid and semi-
arid Great Plains and Rocky Mountains, and the Ohio (0.53x106 km2), Upper
Mississippi (0.45xl06 km2), and Lower Mississippi (0.15xl06 km2) River basins,
draining the Appalachian Plateau and the humid central and south-central U.S. The
average annual discharge for the Lower Mississippi River is 12,800 cms. Stage
variations decrease towards Head of Passes, LA due to lower channel gradients and the
influence of the Gulf of Mexico (Mossa 1988), as well as being further downstream
from the Ohio River which supplies 70% of the discharge to the Lower Mississippi
River. However, discharge varies little in a downstream direction, as there are few
tributaries of considerable size contributing flow to the Mississippi River below Cario.
The mean high water discharge at Columbus KY, representing the total inflow at the
head of the Lower Valley, was 35,700 cms, while the mean high water discharge at
Vicksburg was 34,160 cms. Below Old River distributary, at Red River Landing, the
17
Reproduced with permission of the copyright owner. Further reproduction prohibited without permission.
OHIO BASIN .15X 10'km1 LOWER MISS. - BASIN .53x10' km8 S t. Louis \ \ New Orleans C airo BASIN UPPER MISS.' c 45x10'km* Gulf Gulf of Mexico
OFTHE THE SIX MAJOR MAJOR SIX THE BASIN -
DRAINAGE BASINS .2 4 x 1 0 'km*
RED-OUACHITA BASIN MISSOURI
1.37x10® km* MISSISSIPPI RIVER WATERSHED BASIN - .49 x 10' kmJ ARKANSAS-WHITE
Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. mean high discharge was 29,120 cms (Figure 2.2). Discharge characteristics are
markedly seasonal, with a high flow period lasting several months during the late
winter and spring, and a low flow period during the summer and fall.
Several large floods occurred in the basin during the study period, from 1877 to
1924. The largest was the flood of 1882, which occurred before the extensive
construction of levees (Elliot 1932) that currently align almost the entire channel. At
Red River Landing the flood was above bankfull stage for eighty days, and crested on
March 31st with a discharge of44,460 cms. The flood resulted in extensive damage in
the Lower Valley, and caused 284 crevasses (Elliot 1932). The largest flood on record
in the Mississippi basin occurred in 1927, with a record discharge of 49,812 cms
(Ferguson 1940). Flood frequency during the study period appears consistent with the
larger trend for the historic Mississippi River discharge regime. From 1799 to 1864
there were 24 floods recorded, while from 1865 to 1931 there were 23 floods reported.
Thus, based on a 132 year record, the Lower Mississippi flood every 2.8 years (Elliot
1932).
The time period examined in this study is considered representative of the
natural condition of the system, since the major engineering works were initiated
dming the 1930s (Kesel 1988; Schumm et al. 1994). Several studies report that the
Lower Mississippi River during this period annually transported approximately 400 x
106 tons of suspended sediment (Figure 2.3) (Humphreys and Abbot 1861; Elliot 1932;
Keown et al. 1986; Kesel 1989; Meade and Parker 1985). The river also transported a
large percentage of its sediment as bedload. Typically an alluvial river will transport
19
Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 80,000 - ^ 70,000 - avg low avghigh 1 60,000 - 1927 i 50,000 - J 40,000 - •| 30,000 -
20,000 -
10,000 - 0 - >- 04 co < < i4 < s o f eo 00 a S a £ e o x> 0 x>§ "v CO 0 3 as cs o CO U -J CJ d -o 1 04
Figure 2.2. Average discharge (cms) for mean low and mean high stages, and for the 1927 flood, the largest flood on record in the basin (data source: Elliot 1932).
20
Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 600
700
600
o u 500
■o o •ow 400 a
e 300
200
100
1830 1840 1850 1870 1880 1890 1900 1910 1920 1930 1940 1950 1960 1970 1980 Y ear
Figure 2.3. Total annual suspended sediment load for the Lower Mississippi River below New Orleans based on data from Humphreys and Abbot 1851; Quinn 1879 to 1893; and New Orleans Water and Sewage Board 1930 to 1982 (modified from Kesel 1988).
21
Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 10% of its total sediment discharge as bedload (Richards 1982). However, a sediment
budget by Kesel et al. (1992) suggests that prior to the engineering works of the early
1930s, the Lower Mississippi River transported approximately 30% of its sediment as
bedload. Much of the bed material in the Lower Mississippi River was supplied from
channel bank failure events and lateral channel migration (Kesel et al. 1992). During
this period the channel was free to migrate laterally within its floodplain, with only
seven percent of the channel aligned by revetments (Elliot 1932). Currently, artificial
levees, channel training dikes, and concrete revetments align ninety percent of the
channel from Cairo, IL to Head of Passes, LA, effectively channelizing the entire
Lower Mississippi River.
A survey completed in 1932 shows the distribution and size of bed material
along the length of the Lower Mississippi River (Figure 2.4). Despite the overall
downstream decline in bed material size, the Lower Mississippi River does not exhibit
a smooth dowstream trend like many large alluvial systems (Leopold et al. 1964). The
increase in coarse bed material associated with the Arkansas River is particularly
distinct Also, the occurrence of several coarse sediment peaks coinciding with
smaller tributaries suggests the importance of small drainage systems in supplying
coarse sediment to the Lower Mississippi River. At Cairo, EL, 53% of the bed material
input into the system occurs as coarse sand or gravel. Downstream of Red River
Landing the proportion of fine bed material substantially increases, as there are no
tributaries of significant size in the deltaic plain.
22
Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. Gravel
250m m tSd (opotH-^ fttSDd oa>
o 3 3E c_>
900 800 700 600 500 400 300 200 100 River Miles, Above Head of Passes
Figure 2.4. Distribution and proportion of bed material for the Lower Mississippi River prior to the change in sediment regime (data source: U.S. Army Corps of Engineers 1935).
23
Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 2.2 GEOLOGIC SETTING
The Lower Mississippi River Valley extends in a southerly direction more than
780 km from Cairo, IL to Head of Passes, LA, where the mouth of the delta bifurcates
into multiple distributary channels and discharges its sediment laden waters into the
Gulf of Mexico near the edge of the Continental Shelf (Figure 2.5). Valley widths
average 120 km, but range from 40 km near Natchez, MS to 200 km in width in the
central portion of the basin across the Arkansas Lowlands (Fisk 1944). Tectonic
controls have effected the Lower Mississippi River Valley development over a range
of temporal and spatial scales. Structurally, two major features effect the valley (Fisk
1944). The Mississippi Structural Trough, also known as the Mississippi Embayment,
is a southerly plunging syncline that orients North American interior drainage towards
the Gulf Coast The Gulf Coast Geosyncline trends east to west with an axis parallel
to the Gulf Coast, and is the dominant structural feature in the Central Gulf Coastal
Plain. During the Cretaceous the valley developed in igneous, sedimentary, and
metamorphic rocks as old as Precambrian, but has since been infilled with thousands
of meters of Gulf Coastal Plain sediments which dip towards the coast (Autin et al.
1991). In addition to large-scale structural controls, growth faults in South Louisiana
and uplift domes located within the valley represent neotectonic controls at regional
scales (Fisk 1944; Burnett and Schumm 1983; Autin et al. 1991; Saucier 1994).
Anticlinal domes, such as the Lake County, Monroe, and WigginsUplift in the Lower
Mississippi Valley may effect Quaternary landscapes by warping terraces and
floodplain surfaces, as well as modem channel processes by increasing valley slope
24
Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. Holocene deposits
Wisconsin stage deposits I Pre-wisconsm -ve^lCnjro 1 quaternary deposits
Coastal plain margin
'm m m
/Memphis
TCH/£A
/CZ~- f~miOBU9^
^pffVicksburg yJackson
Natchez
ed_Rivcr ______MS S&^Landing LA M obile s.
Baton ougc
EtTAlCr i i 60 km
GULF OF MEXICO Modified from Saucier. 1994
Figure 2.5. Quaternary geology of the Lower Mississippi River Valley (modified from Saucier 1994).
25
Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. and emplacing resistant bedrock close to the bed of the channel (Fisk 1944; Gregory
and Schumm 1987).
The Quaternary valley formed in response to changes in sea level related to
episodes of continental glaciation during the Pleistocene (Fisk 1944). With lowering
sea level (base level) and increasing valley slope the river scoured and incised its
valley (Figure 2.6). Rising sea levels, due to melting of continental glaciers, resulted
in valley infilling due to a decrease in slope and sufficient energy for the river to
transport its large sediment load. Valley widening occurred during interglacial
periods, when the river developed a meandering system. This caused the deposition of
a thick clastic sedimentary wedge, increasing in thickness towards the Gulf of Mexico.
The depth of Holocene alluvium to the Pleistocene entrenched valley floor at Cairo, IL
and the southern extent of the valley is approximately 69 m and 180 m, respectively.
Holocene valley sediments have a classic fluvial fining upward sequence, grading
from a coarse gravel substratum representative of a braided stream system, to a
topstratum of fine sands, silts and clays representative of a meandering stream system
(Figure 2.6) (Fisk 1944; Saucier 1974; 1994). Recently this has been questioned by
Aslan (1996), who suggests that the early Holocene fluvial system may have been
more representative of a lacustrine setting similar to the Atchafalaya system, having
numerous lakes with interconnecting channels.
2.3 ALLUVIAL FLOODPLAIN
From Cairo, IL the river meanders for 1230 km through the alluvial floodplain,
where it intersects the deltaic plain at Red River Landing at the confluence with Old
River distributary (Russell et al. 1936; Fisk 1947; Saucier 1994). Old River, which
26
Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. MODERN Block Diagram of MEANDER BELT Lower Mississippi MISSISSIPPI RIDGE Alluvial Valley
BACKSWAMP f t S
EARLIER DEPOSITS* ’(substratum _ ^ o ZONE OF PROFILE OF RIVER MIGRATION LATE WISCONSIN WITHIN MEANDER BELT ENTRENCHED VALLEY SYSTEM
(Modified from fisk. 1951: Sw der. 1994)
Figure 2.6. Cross-section of the Lower Mississippi River Valley showing the incised Pleistocene valley floor overlain by Holocene alluvium. The Mississippi River flows within a meander belt ridge, which is elevated above the level of the marginal backswamp deposits (modified from Fisk 1951; Saucier 1994).
27
Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. functions as a Mississippi River distributary and a tributary to the Atchafalaya River,
flows within a former Mississippi River meander bend that was cut-off in 1831 by
Colonial Schreve (Elliot 1932.). There are two major sedimentary environments
within the Holocene alluvial floodplain, meander belt ridges and backswamps (Fisk
1947). Throughout its course the river flows within a meander belt elevated above
backswamp deposits (Figure 2.7). Formed due to lateral channel migration and
overbank deposition of flood deposits, the meander belt forms a ridge of coarse
sediments, and generally decreases in width and height towards the coast (Kolb 1963).
Within the meander belt there are three main fluvial sedimentary environments which
are significant to channel processes; natural levees, point bars, and clay plugs.
Natural levees are formed due to over bank flooding and the deposition of
coarse-grained sediments along the banks of the channel. This results in sediments
grading in thickness and texture, from silty-sands to silty-clays, away from the channel
towards the backswamp lowlands. Width and height dimensions of natural levees vary
along the length of the river, and are chiefly controlled by the sediments and height of
flood events. Although spatial variations occur, natural levee deposits tend to be finer
grained then point bar deposits, and decrease in grain size from sandy silts to silty
clays and clays in a downstream direction (Fisk 1947).
Point bar deposits are the most characteristic deposits of a meandering stream,
and are formed due to lateral migration of meander bends. Deposits have a fining
upward sequence, grading from basal coarse sands and gravel to silty sands. This type
of accretion topography is orientated parallel to the direction of channel migration, and
has an undulating pattern of topography termed ridge and swale, or, meander scroll.
28
Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. The Principal Depostitional Environments DISTRIBUTARY of a Meander Belt Ridge
b a c k s w a m p;
NATURAL LEVEE \
ABANDONED CHANNEL/ CLAY PLUG MEANDER/ .; ;;SCR0LL>’ : POINT BAR = EARLIER; CREVASSE DEPOSITS'; SPLAY
(Modified from Saucier. 1994)
Figure 2.7. Depositional environments of a Lower Mississippi River meander belt ridge. Major depositional units significant to channel processes include infilled abandoned channels (clay plugs), point-bar deposits, and natural levee deposits (modified from Saucier 1994).
29
Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. Point bar deposits are larger and more extensive in the upper and central portions of
the valley, and occur in only a few bends below Red River Landing (Kolb 1963).
Clay plugs, or infilled sloughs, are ox-bow lakes or abandoned channels that
have infilled with fine-grained sediments during overbank flood events. Clay plugs
are important in that they greatly restrict lateral channel migration (Fisk 1947;
Krinitzsky 1965). Deposits are extensive in portions of the valley where channel
migration is most active, and do not appear below Donaldsonville. The thickest and
most resistant clay plugs are formed due to infilling of ox-bow lakes formed from
meander neck cutoffs. Chute cutoffs are located closer to the main channel and take
longer to occur then neck cutoffs, resulting in lower portions of the channel being
filled with coarser sediments which are buried by fine-grained silts and clay (Fisk
1944).
Backswamp are the second major depositional environment occurring within
the alluvial valley. Backswamp deposits are formed as overbank flooding transports
fine-grained sediments, primarily clay, to lowlands beyond the meander belt ridge.
They accumulate in thick deposits and form lowland swamps marginal to meander
belts. The thickness of backswamp deposits increases in a down valley direction. At
Mellwood, AR backswamp deposits occur to a depth of 9 m, but increases to 43 m in
the vicinity of White Castle, LA (Fisk 1947). Deposits are particularly extensive in the
Yazoo, Tensas, Beouf, and the southern extent of the St. Francis basin (Fisk 1947), but
do not occur north of Memphis.
30
Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 2.4 DELTAIC PLAIN
From Red River Landing the river flows 570 km through the deltaic plain to
the mouth of the delta at Head of Passes, LA. The deltaic plain formed as a result of
the Mississippi River shifting its center of deposition. Rising sea levels resulted in the
formation of four major abandoned delta complexes, the Maringouin, Teche, St.
Bernard, La Fourche, and two active deltas, the Plaquemine-Balize, or, modem "birds-
foot" delta, and the Atchafelaya (Fisk 1944; Frazier 1967). Deltaic deposits consist of
fine-grained clayey sediments which increase in thickness towards the Gulf of Mexico,
and are often buried beneath backswamps deposits between meander belt ridges and
interdistributary bays (Saucier 1994). Due to the cohesive nature of deltaic sediments,
rates of channel migration are particularly low (Kolb 1963).
31
Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. CHAPTER 3
DATA AND METHODS
3.1 HYDROGRAPHIC SURVEYS
This study makes extensive use of historic data from the Mississippi River
Commission (MRC). Upon creation of the MRC by the U.S. Congress in 1879, the
MRC directed its energies to completing accurate topographic maps and surveys of the
river, which had been initiated several years earlier by the U.S. Lakes Commission and
the U.S. Coastal and Geodetic Survey. This resulted in a series of hydrographic
surveys that span the entire length of the Lower Mississippi River, from Cairo, IL to
Head of Passes, LA. The first set of hydrographic surveys, referred to as the 1880
survey, includes 84 maps (scale 1:20,000) and was surveyed between 1877 and 1895.
From Cairo, EL to Red River Landing the river was surveyed from 1877 to 1883. From
Red River Landing to Head of Passes, LA the river was surveyed between 1894 and
1895. The second set of hydrographic surveys, referred to as the 1911 survey, also
includes 84 maps (scale 1:20,000), and was surveyed between 1911 and 1924. From
Cairo, IL to Red River Tending the river was surveyed between 1911 and 1913, and
from Red River Tending to Head o f Passes between 1921 and 1924 (Elliot 1932).
There are on average 31 years between any two sections of the river channel.
Field surveying by the MRC was completed during low water stage, typically
from late fall to the rising stage of theannual spring flood. During the survey, stage
was measured three times a day and related to a local vertical datum. Topography
mapped included high water channel boundary, point bars, islands, towhead bars,
32
Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. vegetation, and all natural and cultural features adjacent to the channel. Hydrographic
work included soundings taken perpendicular to the channel and represents the low
water subaqueous channel profile. The 1880 survey was sounded at 250 to 400 m
intervals the length of the channel, while the 1911 survey was sounded at 250 m
intervals (Elliot 1932). Each sounding traverse typically recorded from 10 to 20
channel depths.
Although the hydrographic surveys were mapped during low water stage, due
to the size of the river completion required several field seasons. Thus mapping and
survey data reflect seasonal variations in stage. A slight change in river stage can
cause significant differences in channel width, making it difficult to differentiate actual
geomorphological change from changes inchannel width caused by fluctuations in
stage. To ensure uniform comparison of the channel over time, it was necessary to
reduce both the 1880 and 1911 hydrographic surveys to a common stage. This was
done by using a 40 year Average Low Water Plane (ALWP), from 1891 to 1931,
which is based on the elevation profile of the river at average low water stage. By
superimposing the elevation profile of the 40 year ALWP on to both surveys, the low
water channel width is delineated. This negates the issue of stage variation, and
ensures that similar comparisons are made of the river for the two surveys.
3.2 GEOGRAPHIC INFORMATION SYSTEMS (GIS)
3.2.1 Conversion to Vector Format, Channel Segments
Measurement of morphologic parameters and assessment of change was greatly
facilitated by use of an Intergraph MGE GIS. Each map survey (84 maps for each
survey) was scanned to a raster image and imported into M G E G eoV ec, where a raster
33
Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. to vector conversion was accomplished using heads-up digitizing. Features which
were digitized included; high water channel boundary, low water boundary adjusted to
the 40 year (ALWP), islands, major chutes, tributary confluence, channel cutoffs, and
control points. Each of the vectorized maps was registered using control points from
the hydrographic surveys. This resulted in 168 individual files, which were then
merged to superimpose the channel for the two time periods.
The Lower Mississippi River was then segmented into 167 individual meander
bends and reaches, averaging 10.2 km in length, which provided the primary
morphologic units for this study. A channel centerline was digitized down the length
of the channel, consisting of a series of 0.5 mi (805.0 m) line segments, which served
as the base line for delineating meander bends. To qualify as a meander bend, the
segment must have at least 60 degrees of arc, based on the curvature of the channel
centerline (Brice 1974). The upstream and downstream inflection points of meander
bends were identified based on the angle difference of successive channel centerline
segments. This allowed for a pseudo-objective identification of meander bends.
Reaches were located between meander bends, and generally were straight or irregular
in pattern. The division of the river into morphologic segments allows each to be
considered individually with respect to channel migration and the adjustment of a
range of variables through time.
3.2.2 Error
Error is inherent in the transformation of data from the river channel, to map
surveys, to digital format (Downward 1995). However, due to the source of data and
procedures that were employed in this study, the degree of error is not likely a serious
34
Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. problem with regards to geomorphological analysis. There are several reasons,
including: 1.) Survey control by the MRC was established by a dense triangulation
system that resulted in a level of planimetric accuracy uncommon for historic channel
surveys in the U.S. (Lewin 1977; Hickin 1983). Previous surveys of the Lower
Mississippi River do not have a level of accuracy suitable for detailed planimetric
analysis. 2.) The ideal map scale for river channel analysis is recommended at
1:24,000 (Goudie et al. 1990), so the MRC surveys at 1:20,000 represent an
appropriate scale to examine planform channel change. 3.) H ea d s-u p digitizing of a
raster image is a more accurate technique then digitizing from hard copy, as it ensures
that the operator can precisely follow the line work being digitized. 4.) Finally, the
size of the river channel is of importance. The inherent error in a map survey for a
given scale represents a smaller proportion of the overall error for large river channels
in comparison to smaller river channels. The potential error of the digitized channel
was calculated at ± 20.0 m. This was determined based on the thickness of the
mapped channel boundaries (0.5 mm) and the map scale (1:20,000). Thus the
potential error from raster to digital conversion for a channel width of 750 m would be
± 2 .7% .
3.3 PRIMARY VARIABLES
3.3.1 Migration Rates
Superimposing the channel during the two time periods allows for migration
rates to be measured (Figure 3.1). Using the channel centerline as a base line, straight
lines were placed at a perpendicular angle from successive channel boundaries, at 1.0
mi intervals along the length of the channel. This represents the amount of change
35
Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 1*311
1880
1 KM
Figure 3.1. Meander bend segment for the 1880 and 1911 survey. The solid outer line represents the 1911 survey, whereas the 1880 survey is the dashed line. Radius of curvature, rc (m), was measured along the channel centerline. Sinuosity, P, was measured by dividing the length of the channel, measured along the channel centerline, by the straight-line distance between beginning and end inflection points. Average channel migration (m/km/yr) was calculated by taking the sum of the lines connecting the two outer channel bank boundaries, and dividing this by the length of channel and the number of years between surveys. Maximum migration rates (m/yr) were determined by measuring the distance between channel boundaries where the greatest amount of change occurred, represented by the bold dashed line, and dividing the length of the line.by the number of years between surveys.
36
Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. between the two surveys. For each channel segment, the total length of lines between
the channel boundaries were summed, and divided by the number of lines per channel
segment. This value was then divided by the number of years between successive
surveys, to give a value representative of the average rate of channel migration per
kilometer per year (m/yr/km). Maximum rates of migration (m/yr) were calculated
only for those channel segments which classified as a meander bend, and was
determined by measuring the greatest distance between die two surveys, and dividing
that length by the number of years.
3.3.2 Channel Width
Low water channel width (W) was determined by measuring the channel
between the ALWP channel boundaries at 1.0 mi intervals the length of the channel
for both the 1880 and 1911 survey. Channel width was then averaged for each channel
segment to obtain a channel width representative of the larger reach. Channel width is
often considered an independent variable due to its relationship with discharge, and
has been shown as being related to channel migration and bed material.
3.3.3 Bankfull Channel Width
Rankfull channel width (Wbf) was provided from cross-sectional data
calculated and tabulated by the Mississippi River Commission. The subaqueous
channel profile of each crossing along the length of the river were plotted on linen
sheets (available in the MRC archives in Vicksburg, MS) and scaled to the average
high water stage. The width was then measured directly from the linen sheets. Due to
the cross-section originally having been sounded at low water stage, this does not
represent a true bankfull channel depth, as it does not take into account channel scour
37
Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. that occurs during bankfull discharge conditions. Additionally, the data has not been
adjusted to the 1927 vertical datum, and as such may contain vertical error.
3.3.4 Radius of Curvature
Radius of curvature (rc) was measured by use of GIS. The channel centerline
was used as a guide for fitting arcs with a minimum of 60 degrees of curvature for
each meander bend (Brice 1974). Radius of curvature is scale dependent, and provides
an index of the size of a meander bend. Large bends with a low curvature have high
radii, whereas smaller bends having a low curvature have lower radii (Figure 3.1).
3.3.5 Sinuosity
Sinuosity (P) was determined for each channel segment for both surveys.
Sinuosity was calculated by dividing the channel distance by the straight-line distance
between the beginning and end inflection points of each channel segment (Hooke
1977). Sinuosity is an index of channel meandering, and can be used in assessing the
adjustment of planform geometry (Figure 3.1).
3.3.6 Thalweg, Pools and Riffles
Data was obtained by averaging the channel thalweg of each crossing at 1.0 mi
intervals for the length of the channel for both time periods. The thalweg profile
reveals the undulating pattern of pools and riffles. The identification of pools and
riffles was by use of O’Neill and Abrahams (1984) bedform differencing technique.
The technique employs an index based on the standard deviation of successive
differences in thalweg depths as a filter to objectively identify pools and riffles.
38
Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 3.3.7 Bed Material
Bed material for the study was obtained from a survey completed by the U.S.
Army Corps of Engineers in 1932. Although not taken at even intervals the length of
the channel, the survey sampled bed material along the channel thalweg on average
every 2.8 km from Cairo, IL to Head of Passes, LA. For this study, the dg 4 (mm)
parameter is used, which is the particle size larger then 84% of the sampled bed
material. This is considered representative of the basal layer of channel sediments,
which a number of researchers have related to channel pattern and bank erosion (e.g.
Krinitzsky 1965; Thome and Lewin 1979; Nanson and Hickin 1986; Jiongxin 1991).
Additionally, preliminary research by the author has shown that in the Lower
Mississippi River the dg4 parameter explains a greater amount of variability in channel
form and migration rates then the di6 or dso parameter. Figure 3.2 shows that the dg 4
parameter does not display a smooth downstream decline in grain size, but is
characterized by a number of coarse sediment spikes within the alluvial valley.
3.3.8 Valley Slope
Valley slope represents an energy parameter (Knighton 1998) and is considered
an independent variable with respect to channel pattern (Schumm and Lichty 1965;
van den Berg 1995). Data for determining valley slope (Sy) was obtained from a
topographic map (scale 1:500,000,5.0 ft contour interval) of the Alluvial Valley of the
Lower Mississippi River (1930) prepared by the U.S. Army Corps of Engineers
Memphis and New Orleans District To determine valley gradient, a long profile of
valley elevation was plotted (NAVD 1927) from data taken at 2.0 mi (3.2 km)
intervals along a valley transect Of issue is the surface that is used to represent valley
39
Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. r - OQ £ 20
o o o o o o © o o o o o o o o o o o o o o o o o o o o o o o o o o o o CM VO oo ON rj VO KM below Cairo
Figure 3.2. 1932 bed material, d $ 4 (mm), for the Lower Mississippi River (data source: Nordin and Queen 1992).
40
Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. slope. The surface of the alluvial valley of the Lower Mississippi River is complex,
with features differing in age, origin, and elevation. This makes it essential that
elevation data be obtained from a consistent suface. Although backswamp deposits
would be ideal, there are few deposits above Helena, AR. For this reason the modem
meander belt ridge was chosen, as it represents the surface which the river is migrating
within. Data was sampled perpendicular to the transect, with care taken not to sample
where there was pronounced meander scroll topography. When contour lines differing
in elevation were encountered, the average elevation was calculated. A plot of the
elevation data by valley kilometers below Cairo revealed a number of shorter slope
segments within the valley profile. Eleven shorter slope sections were identified on
the basis of breaks in slope along the valley profile. The slope (m/km) of each valley
section was determined by using least squares regression (Clark and Hosking 1986),
and converted to dimensionless units (m/m).
3.4 ANALYSIS OF DATA
The primary variables characterizing the 167 channel segments were input into
a database for statistical analysis. In order to gain greater insight into correlative and
causal relationships, secondary variables were generated from primary variables. To
illustrate, the ratio between rc and W was used to create an index of channel curvature
(r
1974). Two of the major thrusts of this research were to examine spatial differences
between the alluvial valley and deltaic plain, and temporal change during the 31 years
between the two surveys. This requires indices of change, which were created from
the primary variables. For example, the percentage change in sinuosity (P%)
41
Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. (secondary variable) was created from sinuosity (P) (primary variable) from the 1880
and 1911 surveys.
Descriptive statistics were used to characterize spatial and temporal trends, and
to provide diagnostic insight into parametric model building. The Independent and
Paired Samples t-tests were employed to examine whether there were significant
spatial and temporal differences in the planform and pool and riffle morphology.
Pearson’s correlation coefficient (SPSS 1998) and both simple and multiple linear
regression analysis was employed to examine relationships between variables, and to
isolate controlling variables unique to channel migration (Clark and Hosking 1986).
The variables were normalized using a log10 -log10 transformation, which increased the
amount of variance explained by the models (Nanson and Hickin 1986).
42
Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. CHAPTER 4
SPATIAL AND TEMPORAL TRENDS
4.1 OVERVIEW
This chapter describes spatial and temporal trends of the planform and
longitudinal channel morphology, and estimates channel migration rates determined
from the two surveys. The Independent t-test is used to detect whether there are
significant differences in channel morphology between the alluvial valley and deltaic
plain. Significant temporal change is assessed by employing the Paired Samples t-test,
which compares differences in means between each channel segment for the 1880 and
1911 surveys. The degree of similarity between a single variable compared between
the two surveys is indicated by Pearson’s correlation coefficient. Higher correlation
coefficients are associated with little change over time, whereas low correlation
coefficients indicate that there has been considerable change between the two surveys.
4.2 LONGITUDINAL PROFILE
Figure 4.1 is a profile of thalweg elevations (MASL) at 1.6 km intervals
(converted from 1 mi intervals) along the entire length of the Lower Mississippi River,
from Cairo, IL to Head of Passes, LA. While data taken at this interval is too coarse to
delineate bedforms, the pool and riffle morphology is clearly delineated by the
rhythmic undulating thalweg pattern. The trend is fairly linear within the alluvial
valley, but the rate of decline in thalweg elevation decreases in the deltaic plain,
downstream of Red River Landing.
To further analyze the thalweg profile, pools and riffles were identified using
O’Neil and Abrahams (1984) bedform differencing technique. The technique uses an
43
Reproduced with permission of the copyright owner. Further reproduction prohibited without permission.
o o in o vo t"- o o o - tj o o o o o o rs i—i o o o Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. index based on the standard deviation of successive thalweg elevation differences. By employing the technique separately above and below Red River Landing, the alluvial valley and deltaic plain can be considered individually, as they are geomoiphologically distinct There are significant differences in the thalweg profile between the alluvial valley and deltaic plain segments. In the deltaic segments, pools are deeper and spaced closer together then in the alluvial valley segments (Table 4.1). Results of Independent t- tests confirm significant spatial variations between the alluvial valley and deltaic plain (Table 4.2). The average depth of pools for the entire river was 11.3 m in 1880. The average depth of pools in the alluvial valley segments was 9.8 m, while in the deltaic plain the average depth o f pools increased to 14.6 m. The spacing of pools exhibits a similar trend. The average distance between pools for the entire river was 9,628 m. In the alluvial valley segments the distance between pools averaged 10,049 m, while in the deltaic plain segments the distance between pools significantly decreased to 8,666 m. Additionally, in comparison to the alluvial valley segments, the thalweg downstream of Red River Landing has a more uniform pattern. Evidence of this is given by the coefficient of variation (CV), a dimensionless unit defined as the ratio between the standard deviation and the average. A lower CV reflects less variability, as the standard deviation is lower in proportion to the average. The CV for the alluvial valley and deltaic plain segments are .54 and .45 for pool depth, and .53 and .46 for the distance between pools, respectively. During the period from 1880 to 1911, the average distance between pools for the entire channel changed very little, as there was a slight increase in pool spacing in the 45 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. Table 4.1. Summary statistics for pool depth and pool to pool distance. Pool Depth Pool to Pool (m) Distance (m) Survey series 1880 1911 1880 1911 Cairo, IL to Red River Landing: N = 171 Average 11.3 112 9628 9666 Min. 2.7 2.6 3219 3219 Max. 36.3 29.2 45063 25750 CV .54 .48 .52 .47 Above Red River Landing N = 119 Average 9.8 10.2 10049 10366 Min. 2.7 2.6 3219 3219 Max. 31.5 23.7 45063 25750 CV .54 .47 .53 .47 Below Red!liver Landing: N = 52 Average 14.6 13.3 8666 8241 Min. 5.7 4.5 3218 3219 Max. 36.3 29.2 19312 20922 CV .45 .46 .45 .46 46 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. Table 4.2. Results of Independent t-test used to compare pool spacing (m) and depth (m) in the alluvial valley and deltaic plain. Independent t-test Comparing Differences in Pool Depth and Distance Between Alluvial and Deltaic Plain variable survey t Sig. (2-tailed) Pool Distance (m) 1880 1.667 0.097* 1911 2.872 0.005* Pool Depth (m) 1880 -5.080 0.000* 1911 -3.907 0.000* * = Significant difference of means between alluvial and deltaic plain at a = .10 47 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. alluvial valley segments and a slight decrease in pool spacing in the deltaic plain segments. Similarly, the depth of pools increased slightly in the alluvial valley segments and decreased in the deltaic plain segments. However, summary statistics alone are not powerful enough to indicate whether the changes are significantly different Table 4.3 shows the results from the Paired t-tests, which compare pool depths and distances between the two surveys. The results indicate that the pool and riffle morphology remained stable over the 31 years between surveys, as the depth of pools and distances between pools did not significantly change. 4.3 PLANFORM MORPHOLOGY 4.3.1 Channel Width Channel width displays a concave curvilinear trend (Figure 4.2a). Width decreases uniformly from Cairo to the Arkansas River, and changes only slightly downstream from the Arkansas River to 900 km below Cairo. However, from 900 km below Cairo to 1500 km below Cairo channel width substantially increases, before decreasing in the lower sections of the river towards Head of Passes. The average channel width in 1880 for the entire channel was 751 m. While in the alluvial valley it averages 761 m, within the deltaic segment it declines by just 30 m, averaging 731 m from Red River Landing to Head of Passes (Table 4.4). While the downstream of trend of channel width is curvilinear, the percent change in channel width is linear (Figure 4.2c). The Paired Samples t-test shows that there was not a significant change in channel width between die 1880 and 1911 surveys (Table 4.5). However, there are several sections where a change in channel width 48 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. Table 4.3. Results of Paired t-test between pool depth (m) and pool to pool distance (m) to test for change in the pool and riffle morphology between the 1880 and 1911 surveys. Paired t-test of Pools and Riffles 1880-1911 variable t Sig. (2-tailed) Cairo to Head of Passes Pool Distance (m) -0.115 0.908 Pool Depth (m) 0.146 0.883 Cairo to Red River Landing Pool Distance (m) -0.448 0.654 Pool Depth (m) -0.493 0.622 . 1 B 8 Red River 1 of Passes Pool Distance (m) 0.877 0.384 Pool Depth (m) 0.896 0.374 * = Significant did ference in means at a = .10 level between 1880 and 1911 surveys 49 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 1500 r S 3 2 St 1000 8 u 500 0 o o o o o 8 8 8 8 8 a s s s O b. 1500 s ■o £ 1000 a 500 0 o o o o o o o oo S9SOOO OO c. 100 75- . e ■a so- 25- £ xz U 0- e -25- §> £ -50- o ev -75- -100 o Kilometers BelowCairo, IL Figure 4.2a,b,c. Low Water Channel Width (m): 1880,1911, percent change. 50 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. Table 4.4. Summary statistics for sinuosity, radius of curvature, and channel width. Statistics represent the average value of all channel segments within each river section. Summary Statistics for Planform Variables River Sum Sinuosity Radius of Curvature Channel Width (m) section stat (m) 1880 1911 Avg. % 1880 1911 Avg. % 1880 1911 Avg. % change for change change all for all for all segments segments segments Above Max. 4.4 5.6 162 4671 4166 70 1397 1068 79 RRL Min. 1.0 1.0 -55 1099 921 -62 232 503 -45 Mean 1.6 1.8 10 2527 2281 -5 761 736 -2. Below Max. 3.2 3.0 64 5885 6282 26 1030 1042 24 RRL Min. 1.0 0.9 -37 830 841 -27 250 593 -27 Mean 1.3 1.4 1 1989 1954 1 731 735 0 Cairo- Max. 4.4 5.6 162 5885 6282 70 1397 1067 79 HOP Min. 1.0 0.9 -55 830 841 -62 232 503 -45 Mean 1.5 1.6 7 2347 2172 -3 751 736 -1 51 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. Table 4.5. Results of Paired Samples t-test to examine change over time in sinuosity, radius of curvature, and channel width. Paired Samples t-test 1880-1911 Section N Correlation t-stat Sig. level compared coefficient Sinuosity Cairo to 167 .791 -2.913 .004* HOP Cairo to 109 .760 -2.919 .004* RRL RRL to 58 .923 -.294 .770 HOP Radius o f Cairo to 125 .746 3.100 .002* Curvature HOP Cairo to 84 .585 3.335 .001* RRL RRL to 41 .980 -.758 .453 HOP Channel Cairo to 167 .627 1.719 .088 Width HOP Cairo to 109 .431 1.871 .065 RRL RRL to 58 .947 -.489 .628 HOP * = Significant difference of means between 1880 and 19 1 at the a = .10 level 52 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. does occur. Between the Arkansas River and approximately 900 km below Cairo channel width decreased during the period between the two surveys. 4.3.2 Radius of Curvature The radius of curvature of meander bends averages 2347 (m) for the entire river 1880 (Table 4.4). In contrast to channel width, the downstream trend of radius of curvature displays a linear trend, decreasing from Cairo to Head of Passes (Figure 4.3a). Radius of curvature averages 2527 (m) in the alluvial valley segments, and decreases to 1989 (m) in the deltaic plain segments. Although the downstream trend in radius of curvature is linear for most of the channel, there are several large meander bends in the deltaic plain, downstream of Red River Landing. From 1880 to 1911 the average radius of curvature for the entire river significantly declined, from 2347 m to 2172 m (Tables 4.4, 4.5). Most of this change occurred within the alluvial valley segments, which recorded a 5% reduction in radius of curvature. This is indicated in Figure 4.4b, which in comparison to the 1880 survey, does not show as great of a downstream trend in radius of curvature. Downstream of Red River Landing there was not a significant change in radius of curvature. While there were a number of individual meander bends that underwent a large change in radius of curvature, there are two sections of channel which show a decided trend in change (Figure 4.3c). Between the confluence with the Arkansas River and 800 km below Cairo, there was an increase in radius of curvature. This is followed by a marked decrease in radius of curvature from 800 km below Cairo to 1000 km below Cairo. 53 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. a . 7000 6000 5000 4000 3000 a t 2000 1000 o oo o I 8 8 8 8 8 b. 7000 6000 5000 S 4000 3000 a t 2000 1000 o o o o I 8 8 8 8 S 100 g 75 a o§ 50 £o 25 CA -25 I o o o o o 8 8 8 8 8 Kilometers Below Cairo, IL Figure 4.3a,b,c. Radius of Curvature: 1880, 1911, and percent change. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 00 00 vo oo b. * oeo a3 GO © CM 00 oo c. 200 ON I 150 o 00 oo 100 *s 3o .£ 4>00 3c _o e v0 Ps" 100 o o o o o o o o o o o o o o o © o o o CM V© oo CM vo oo Kilometers Below Cairo, IL Figure 4.4a,b,c. Sinuosity: 1880,1911, and percent change. 55 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 4.3.3 Sinuosity The pattern of sinuosity has a convex curvilinear trend, with increasing sinuosity in the middle reaches of the channel (Figure 4.4a). Sinuosity averages 1.5 for the entire river in 1880. However, there is considerable spatial variability between the alluvial valley and deltaic plain segments, averaging 1.6 and 1.3, respectively (Table 4.4). Sinuosity between Cairo and the mouth of the Arkansas River is 1.6, but increases to 1.7 between the Arkansas River and 800 km below Cairo (Figure 4.4a). Sinuosity decreases below 800 km below Cairo, and is fairly uniform until several sinuous channel segments at 1400 km below Cairo, downstream of Red River Landing in the deltaic plain. From 1400 km below Cairo to Head of Passes, approximately 300 km of channel, sinuosity substantially declines, as the channel is nearly straight From 1880 to 1911 there was a slight change in sinuosity, increasing from 1.S to 1.6 over the entire river (Figure 4.4b). However, the degree of temporal change in sinuosity varies spatially along the length of the channel (Figure 4.4c). The change in sinuosity was greater in the alluvial valley segments, which increased on average 10%, from 1.6 to 1.8, while the channel segments in the deltaic plain did not significantly change over time (Table 4.4,4.5). From Cairo to 900 km the rate of change was uniformly distributed, with no pronounced trends. The major change occurred within a 300 km section of channel, between 900 to 1200 km below Cairo. 4.4 CHANNEL MIGRATION The annual rate of channel migration in each of the 167 channel segments was determined by superimposing the channels for each map survey. The results indicate that during the 31 yr period some segments remained stable, however, many exhibited 56 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. considerable change (Figure 4.5). Although the channel in the deltaic plain exhibits little lateral migration, many channel segments within the alluvial valley had high rates of lateral migration. Figure 4.6 shows the distribution and range of average migration rates for each of the 167 channel segments and their associated location along the Lower Mississippi River. The average migration rate (m/km/yr) was determined by measuring die distance between the 18S0 and 1911 channel boundaries at 1.0 mi (1.6 km) intervals along the length of the channel. Thus values represent the average amount of lateral migration along the entire channel distance. Migration rates were measured differently for channel segments that were also identified as meander bends. Out of the 167 channel segments, 125 segments were classified as meander bends. Due to migration rates within meander bends having considerable spatial variability (Hickin 1983), average migration rates measured along the entire channel distance underestimate meander bend migration. Thus for each of the channel segments which were also identified as meander bends, the maximum rate of migration was determined for the point along the channel which represented the greatest amount of lateral movement between the two surveys (Figure 4.7). There is considerable variability in migration rates for the 167 channel segments (Figure 4.6). Migration rates range from < 0.0 to > 83.6 m/km/yr and average 18.6 m/km/yr for the entire length of the Lower Mississippi River (Table 4.6). The average migration rate in the alluvial valley segments is 26.7 m/km/yr, while in the deltaic plain segments migration rates average just 3.3 m/km/yr. From Cairo to approximately 800 km below Cairo migration rates are fairly uniform, averaging 25.4 m/km/yr, although 57 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 1880 KM RED RIVER LANDING . Figure 4.5. 1880 and 1911 channel surveys superimposed, in the vicinity of Natchez and Red River Landing. 58 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 1600 . f 8 Channel Distance Below Cairo (km) *-H(Ncn't>nvor'000\o^(SroTt- oooooooooooooo ooooooooooooooo 5b Figure 4.6. Average migration rates (m/km/yr) for all channel segments (167) from Cairo to Head of Passes. to Head Cairo (167) segments from channel all for (m/km/yr) 4.6. rates Figure migration Average VO Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. New Orleans Channel Distance Below Cairo (km) ooooooooooooooooo oooooooooooooooooo I 100 Figure 4.7. Maximum migration rates (m/yr) for meander bends (125) from Cairo to Head of Passes. Head to Cairo (125) from bends meander for (m/yr) rates 4.7. Figure migration Maximum o\ o Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. Table 4.6. Summary statistics for average (m/km/yr) and maximum (m/yr) migration rates. Average migration Maximum migration of all channel of meander bends segments (m/yr) (m/yr/km) Above Red River Landing Max 83.6 123.4 Min 5.0 13.6 Mean 26.7 44.8 Below Red River Landing Max 17.5 28.8 Min 0.0 0.0 Mean 3.3 5.5 Cairo to Head of Passes Max 83.6 123.4 Min 0.0 0.0 Mean 18.6 31.6 61 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. there are four segments exceeding 50 m/km/yr. Migration rates increase between 800 km below Cairo and Red River Landing, averaging 40.8 m/km/yr, with the maximum migration rate of 83.6 m/km/yr occurring just downstream of Vicksburg. In comparison to all of the channel segments, the maximum migration rates of meander bends show greater variability (Figure 4.7). Table 4.6 compares the average and maximum rates of migration. The range in maximum migration rates of meander bends ranges from < 0.0 to > 123.4 m/yr. In comparison to Figure 4.6, many of the meander bends show considerable variation between the average and maximum values, suggesting underestimation of the average values for meander bends. However, the pattern is similar to the trend of average migration rates for all 167 channel segments. In the alluvial valley meander bends migrated on average 44.8 m/yr and ranged from 13.6 to 123.4 m/yr, while in the deltaic plain migration rates of meander bends averaged 5.5 m/yr and ranged from 0.0 to 28.8 m/yr. From Cairo to the confluence with the Arkansas River migration rates of meander bends average 29.1 m/yr. However, migration rates of meander bends substantially increase between the Arkansas River and Red River Landing, averaging 50.4 m/yr. 62 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. CHAPTER 5 PLANFORM ADJUSTMENT AND CHANNEL MIGRATION 5.1 OVERVIEW While Chapter 4 assessed spatial and temporal trends of several parameters, this chapter considers the interrelationships and adjustment of channel morphology. Linear regression and Pearson’s Correlation Coefficient is used to examine the direction of trend and strength of relationship between variables, providing insight into controlling factors of channel migration. The data is examined from Cairo to Head of Passes, and then compared between the alluvial valley and the deltaic plain. 5.2 PLANFORM INTERRELATIONSHIPS 5.2.1 Sinuosity and Radius of Curvature Correlation analysis of hydrographic survey data for the entire river examined in 1880 indicates that sinuosity is inversely related to radius of curvature (-.19). A channel segment having a very large radius of curvature is usually straighter then a meander bend with a lower radius of curvature. Often as sinuosity increases meander bends become increasingly elongate, which reduces the radius of curvature (Figure 5.1). However, significant spatial differences exist when this relationship is examined in the alluvial valley and deltaic plain (Tables 5.1-5.3). The strength of the correlation coefficients increase to -.35 and -.27 for the alluvial valley and deltaic plain, respectively. The lack of significant trends for the 1911 survey are likely explained by the findings from Chapter 4, which indicated sinuosity significantly increased in the alluvial valley, while radius of curvature declined between 1880 and 1911. This has 63 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 28 2 7 1811 1880 Figure 5.1. Change in meander bend radius of curvature (rc) between 1880 and 1911. 64 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 0.98 0.00 Avg Mig Avg 0.05 0.07 0.14 0.70 -0.14 W.9H w * 0.00 0.60 0.87 Wisgo 0.90 0.76 0.19 0.03 0.49 r9% 0.13 0.18 0.03 0.12 -0.04 0.12 0.49 -0.01 -0.12 0.03 0.12 0.75 0.05 -0.02 rcl*80 *cl9l 1 rcl*80 *cl9l 0.16 0.03 0.83 0.72 0.00 0.02 0.200.00 0.00 0.01 0.18 0.00 0.54 0.11 0.60 -0.26 0.17 P% 0.99 0.32 0.00 0.59 0.03 0.03 0.42 0.48 0.23 0.12 0.48 -0.06 -0.15 -0.20 P|9II 0.01 -0.15 -0.17 -0.16 0.18-0.13 0.14 -0.01 P|M0 0.37 0.85 0.72 0.69 0.87 0.73 -0.07 dg4 0.32 0.03 0.32 0.00 0.00 0.44 0.62 0.78 0.00 0.00 0.01 0.00 0.01 0.00 0.00 0.00 0.000.04 0.00 0.00 0.04 0.49 0.26 0.08 0.01 0.00 0.06 Sy Sig. Sig. 0.67 0.05 0.05 0.03 0.03 Sig. Sig. Pearson Correlation Pearson 0.40 0.34 -0.07 0.05 0.13 0.20 0.02 Pearson Correlation Pearson 0.03Correlation Pearson 0.15 -0.05 0.09 Sig. Sig. Correlation Pearson Sig. 0.49 Correlation Pearson Sig. 0.31 CorrelationPearson 0.21 Sig. 0.35 0.22 0.84 Sig. Correlation Pearson Sig. 0.18Correlation Pearson 0.31 -0.19 -0.05 0.09 0.03 0.20 -0.09 0.00 -0.09 Correlation Pearson 0.02 Sig.Sig. 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 Pearson Correlation Pearson 880 1880 Wisgo w„„ rc% P P|9ll P%rcl Correlation Pearson 0.37rci9ii 0.26 0.38 0.50 w* MigAvg Correlation Pearson Mig Max 0.68 Correlation Pearson 0.53 0.29 0.71 0.38 0.55 0.54 0.30 0.21 Sv dg< Table 5.1. Correlation matrix ofparameters from Cairo to Head ofPasses. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 0.88 0.00 AvgMig 0.02 w * 0.02 0.22 -0.25 0.14 -0.26 0.22 W|9|| 0.47 W|880 0.15 0.66 0.09 0.16 -0.04 -0.16 0.85 r9% 0.07 0.11 0.03 0.01 0.08 0.15 0.34 0.02 0.69 0.17 0.75 0.00 0.12 0.15 0.03 -0.20 0.17 -0.21 -0.20 0.16 -0.11 -0.25 rcI91l 0.10 0.02 0.30 0.00 0.02 0.26 0.04 0.25 0.17 -0.02 0.82 -0.12 -0.18 -0.03 0.04 rci880 0.00 0.40 0.01 0.10 0.09 0.07 -0.18 -0.09 P% 0.23 0.53 0.06 0.00 0.00 0.02 0.93 0.70 -0.26 -0.01 P|91l 0.40 0.76 0.04 0.06 0.00 0.04 0.42 0.00 -0.18 -0.28 -0.25 Pisso 0.00 -0.04 0.21 0.09 0.06 0.00 0.99 0.74 0.01 0.42 0.00 0.16 -0.25 -0.26 0.71 0.67 0.55 0.36 0.16 0.07 -0.09 -0.03 -0.18 0.47 -0.02 0.80 -0.14 0.11 -0.09 0.32 dM 0.01 0.15 0.27 0.02 0.94 0.07 0.32 0.67 0.56 0.61 0.10 0.01 0.01 0.07 0.96 0.20 0.04 0.82 0.42 0.90 0.10 0.03 0.35 0.00 0.28 -0.01 -0.01 0.18 -0.35 -0.22 Sy ...... Sig. Sig. Sig. Sig. Pearson Correlation Pearson 0.20 Pearson Correlation Pearson 0.10 -0.04 Sig. Sig, Sig. Correlation Pearson 0.18 Sig. Correlation Pearson Sig. Correlation Pearson Sig. Correlation Pearson 0.20 Correlation Pearson -0.05 Pearson Correlation Pearson Sig. Sig. Pearson CorrelationPearson 0.24 Pearson CorrelationPearson 0.10 Correlation Pearson -0.05 Pearson Correlation Pearson Sig. ish 1880 Max Mig Max Wigjo W w* rc%Correlation Pearson 0.09 0.09 -0.39 P Sv P% rcl880 1*1911 Avg Mig Avg rcmi d«4 Table 5.2. Correlation matrix ofparameters in the alluvial valley. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. Avg Mig Avg 0.00 0.00 w * 0.17 0.05 0.50 0.19 0.710.06 0.00 0.71 0.50 0.98 w ,w, Wiggo 0.12 0.37 0.39 0.41 0.04 r9% 0.02 0.15 0.34 0.44 0.66 0.01 0.81 •0.08 0.43 0.12 rci9ii 0.14 0.18 0.20 0.60 0.00 0.15 0.33 -0.01 Icl880 0.28 0.19 0.550.02 0.61 0.02 0.35 0.26 0.20 0.00 0.290.06 0.56 0.88 0.01 0.00 -0.21 0.09 0.08 P% 0.27 0.34 0.14 0.09 0.20 0.11 0.07 -0.30 0.110.29 0.65 0.06 0.97 0.00 0.62 -0.07 0.01 0.38 0.22 -0.16 -0.17 -0.20 -0.26 0.97 1911 OP 0.91 0.06 0.04 0.07 -0.31 0.17 0.24 188 P 0.190.23 0.08 0.62 0.12 0.45 0.13 0.31 0.75 0.61 0.22 0.62 0.58 0.180.19 0.28 0.20 0.04 -0.27 0.20 0.04 0.080.32 0.31 0.21 ds4 0.12 0.36 0.16 0.17 0.06 0.45 0.58 0.65 0.34 0.77 0.39 0.24 0.00 0.00 0.01 0.01 0.52 0.25 0.23 0.19 0.13 0.220.71 0.00 0.00 0.07 0.23 0.00 0.19 0.13 0.06 0.71 0.98 -0.14 0.16 -0.29 -0.10 Sy Sig. Sig. Sig. Correlation Pearson Sig. CorrelationPearson 0.20 0.16 Sig. Sig. Sig. Pearson CorrelationPearson Sig. -0.05 Correlation Pearson Sig. Correlation Pearson 0.15Correlation Pearson 0.16 0.07 Sig. Pearson Correlation Pearson Correlation Pearson Pearson Correlation Pearson Sig. Sig. Pearson Correlation Pearson 0.57 Sig. Pearson Correlation Pearson P l9 U P%Correlation Pearson 0.05 Wisso Sv dw P|880 lcl880 r cl911 rc% Correlation Pearson 0.29 W,91l w « Max Mig Max AvgMig Table 5.3 Correlation matrix ofparameters in the deltaic plain. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. important implications regarding the character of change associated with meander bend morphology. Increasing sinuosity in association with a reduction in radius of curvature suggests that the meander bends were becoming increasingly elongate as the amplitude of the meander bends increased. 5.2.2 Sinuosity and Channel Width Sinuosity and channel width are inversely related (-.15) from Cairo to Head of Passes in 1880 (Table 5.1). This suggests that sinuous channel segments tend to have narrower channels then straighter reaches, which are associated with wider channels. The relationship exhibits significant differences when viewed within the alluvial valley and deltaic plain (Tables 5.2, 5.3). The strength of the relationship increases to -.25 in the alluvial valley, while in the deltaic plain it is not significant Between the two surveys there was no appreciable change in the relationship for either the alluvial valley or the deltaic plain. 5.2.3 Radius of Curvature and Channel Width Radius of curvature and channel width is positively correlated in 1880 (.18), which indicates that larger meander bends tend to have a wider channel. In comparison to the entire Lower Mississippi River, the strength of the relationship increases in the alluvial valley, from .18 to .25, but exhibits no correlation in the deltaic plain below Red River Landing. Radius of curvature and channel width is not correlated in 1911. The change in the relationship over time between the two variables is primarily due to the significant decreasing trend in radius of curvature, discussed in Chapter 4, while channel width did not significantly change over time. 68 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 5.3 DOWNSTREAM TRENDS The valley profile shown in Figure 5.2 represents the elevation of the active meander belt ridge sampled at 2 mile intervals (converted to km) from Cairo to Head of Passes. Eleven profile segments were delineated, and are shown in Figure 5.2. The characteristics of the profile segments are noted in Table 5.4. Although the overall trend declines towards the Gulf of Mexico, slope coefficients and the shape of the profile show that the Lower Valley does not have a smooth concave curve, but consists of a series of different slope segments. The major valley slope segments used in this study are delineated where there is a significant change in the profile of the meander belt Additionally, within the segments shown in Figure 5.2 there are two major regions. The first region occurs in the middle valley, sections 5 and 6, where there is a pronounced change in valley gradient due to the Monroe Uplift dome. Uplift domes typically cause a flattening of the valley profile above the axis (section 5), while causing gradient to increase down-valley from the axis (section 6). The second region represents a major change in sediment regime and valley slope, and occurs at sections 9 and 10 at Red River Landing, the boundary between the alluvial valley and the deltaic plain. The valley sections delineated in Figure 5.2 coincide with neotectonic, lithologic, or sedimentological controls, and appear to influence channel sinuosity. Segment 2 has a low gradient and a sinuosity of 1.81. This segment occurs along the New Madrid fault zone, and is followed down-valley by a high gradient segment (3) having a channel sinuosity of 2.14. Section 5 is the low gradient segment up-valley of 69 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. © © © © o © 00 o © o o Valley Kilometers Valley Cairo, Below IL o o © © rs © o o 100 n u § 50- W VI Figure 5.2. Profile ofelevation (MASL) sampled at2 mi (3.2 km) intervals along the LowerMississippi Rivermeander belt interval) ofthe Alluvial Valley ofthe Lower Mississippi River (1930), U.S. Army Corps ofEngineers Memphis and New analyze the influence ofvalley slope on channel morphology. Data source: Topographic Map (scale 1:500,000,5 ft contour ridge, Cairo, IL to Head of Passes, LA. The profile was subdivided into 11 shorter slope sections, which were used to Orleans District. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. Table 5.4. Summary data for valley slope sections. Valley Sv (m/m) Valley km Valley D ist Channel km Channel P Section below Cairo (km) below Cairo Dist. (km) 1 0.000132 41.8 41.8 48.28 48.28 1.15 2 0.000006 67.6 25.75 86.90 46.70 1.81 3 0.000199 103.0 35.41 162.50 75.60 2.14 4 0.000135 370.2 267.16 569.70 407.20 1.52 5 0.000025 412.0 41.84 645.40 75.70 1.81 6 0.000131 569.7 157.72 949.50 304.10 1.93 7 0.000071 582.6 12.88 968.90 19.40 1.51 8 0.000113 708.1 125.53 1173.30 204.40 1.63 9 0.000019 772.5 64.38 1266.60 93.30 1.45 10 0.000143 817.6 45.06 1347.10 80.50 1.79 11 0.000017 1088.0 270.38 1705.00 357.90 1.32 71 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. the Monroe uplift axis, and occurs downstream of the Arkansas River confluence. Sinuosity values are moderate at 1.81. In section 6, on the steeper down-valley side of the Monroe Uplift, sinuosity increases to 1.93. Section 7 is a relatively short segment influenced by resistant Tertiary limestone bedrock at Vicksburg, MS, and has a sinuosity of 1.51. Downstream of Vicksburg the valley slope steepens, and this portion of the river has a sinuosity of 1.63. Section 9 is a low gradient segment that coincides with the boundary between the alluvial valley and deltaic plain at Red River Landing, and has a sinuosity of 1.45. Despite section 10 occurring within cohesive backswamp and deltaic deposits, channel sinuosity increases to 1.79. Valley slope decreases at the lowermost section, 11, and in combination with cohesive deltaic sediments sinuosity declines to 1.32. 5.4 VALLEY SLOPE AND CHANNEL ADJUSTMENT Temporal and spatial change in sinuosity, radius of curvature, and channel width during the study period is shown in Figure 5.3. The percent change of each of the individual channel segments occurring within a valley slope section was averaged. This permits the change that occurred along each of the 11 major slope sections of the valley profile to be considered. The spatial distribution of channel adjustment for channel width, radius of curvature, and sinuosity does not occur in simultaneous locations along the length of the river. Channel width declines from section 1 to section 6, and then increases by 25 % at section 7 at Vicksburg. Down-valley of Vicksburg, channel width shows little temporal change, except at section 10, below Red River Landing, where it decreases by almost 10 %. Radius of curvature shows a 72 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. aly lp (m/m) Slope Valley P% rc% w% 0.0001 T 0.0002 - -- 0.00005 - 0.00015 © o © »n © vo o o o. cro o o O o o o o o o (N o o CO Tt- on Kilometers Below Cairo, IL •«fr •«fr Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. similar trend to channel width, except for section 1, where it increases by almost 25 %. Except for section 5, sinuosity increases from section 1 to section 7 at Vicksburg, which shows a decline. Sinuosity increases substantially at section 8, but shows little change down-valley. The reduction in sinuosity at Vicksburg represents the largest decline of sinuosity of any of the valley segments. This valley section consists of only two channel segments. The sinuosity reduction occurs where the channel is increasing its radius of curvature due to being impinged between resistant backswamp deposits and the eastern valley wall. The influence of valley gradient on sinuosity, radius of curvature, and channel width was further assessed using simple linear regression analysis. When the influence of an outlier is removed, valley slope explains 39% and 40% of the variability in sinuosity for the 1880 and 1911 surveys, respectively (Figure 5.4). The relationship between valley slope and sinuosity has been shown as being concave- curvilinear (i.e. Schumm and Kahn 1972), with the highest sinuosity occurring at a mid-slope value, and abruptly decreasing towards a straight channel at a higher threshold slope. However, Figure 5.4 suggests little resemblance towards this pattern. The percent change in sinuosity between the two surveys is also shown, with valley gradient explaining approximately 27% of the temporal change in sinuosity. While valley slope explained 39 % and 40 % of the variation in sinuosity, there is no appreciable control of valley slope on radius of curvature or channel width for either of the two surveys. This is shown in Figures 5.5 and 5.6, and suggested by the correlation matrices of Tables 5.1-5.3. The pattern is consistent for both the 1880 and 74 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. ecn Change Percent -30 -10 -20 -40 -50 0.00025 R R = 0.27 0.0002 R R = 0.39 R R = 0.40 Valley Slope (m/m) (Pll) P80 Pll P% %) (P Linear (P80) Linear Linear 0.00005 0.0001 0.00015 2.5 I o 00 00 Figure 5.4. sinuosity. valley Figure (m/m) slope and between Relationship c/< Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. Cag r, Change % -r 50 -- 25 - 0 - -25 0.00025 50 X 0.0002 ■ ■ rc80 ♦ rcx ll rc% - Linear ■ (rcl 1) - —Linear (rc80) Linear (rc%) ______X X ♦ ♦ X m m m m m m m td M i Valley Slope (m/m) 0.00005 0.00005 0.0001 0.00015 y X m m m m m m m m m m m >fi ” X4— = —^ ■ ■ ■ - 1000 5000 5000 -i 3000 3000 - 4000 4000 - ON © 2000 -j 00 00 Figure 5.5. Relationship between valley slope (m/m) and radius ofcurvature (m). ON Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. Cag W Change % 10 -10 -20 20 - 0 - - j 30 - - 0.00025 30 (wll) a 0.0002 ♦ wll ■ w80 X w% “ “ (w%) - Linear — Linear (w80) Linear R2 0.0262 = R2 R2 = 0.0529 = R2 ■ X * - ■ t T Valley Slope (m/m) ■ R2 = 0.0361 R2 0.00005 0.00005 0.0001 0.00015 t* . 3000 3000 -i n £ O §§ 1000 H S 2000 Figure 5.6. Relationship between valley slope (m/m) and channel width (m). Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 1911 surveys, and the percent change over time. Although valley slope has been shown to effect planform channel morphology (Adams 1980), there is little influence of valley slope on radius of curvature or channel width. Thus in the Lower Mississippi River, sinuosity represents the dominant planform parameter controlled by valley slope. 5.5 RELATIONSHIPS BETWEEN BED MATERIAL AND CHANNEL PATTERN In addition to the influence of valley slope on channel parameters, bed material is also considered an important control on channel pattern (Schumm 1977, Thome and Tovey 1981, van den Berg 1995). Although the three variables have a positive correlation with bed material (dg 4 mm), the coefficients are relatively low (Tables 5.1- 5.3). Bivariate plots and regression analysis show considerable scatter (Figures 5.7- 5.9). The relationship between sinuosity and bed material (Figure 5.7) is particularly surprising considering the range of bed material size and channel patterns that exist within the Lower Mississippi. Given the sedimentological differences between the alluvial valley and deltaic plain, it might be expected that relationships between the two variables would be more distinct. However, there are a number of sinuous reaches in the upper portions of the Lower Valley, which also have fine-grained sediments. For example, channel segments #s 67 and 68 occur downstream of the Arkansas River in the vicinity of Greenville, MS, and have a sinuosity of 4.22 and 3.65, respectively. However, the bed material within these bends is particularly fine grained, having average values of 0.78 (mm) and 0.53 (mm), which reflects the influence of cohesive Tertiary sediments which the channel is incised within. 78 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. B a CO f C3 <1> ce 2 & > □ •av o. CQ [ $ 3 3 g> , and sinuosity. 4 d 1161 -0881 Figure Figure 5.7. Relationship between bed material, ds 79 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. , and , and radius of curvature (m). 4 Figure Figure 5.8. Relationship between bed material, ds Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. , and channel width (m). width channel , and 4 (ui) ippiM. pmreqo Figure dg 5.9. material, Figure bed between Relationship Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. % o 43 o a 10 50 30 -20 20 0 -10 -40 -50 40 8 7 2% 6 4.0 reduced their curvature, rc/W, between between 1880 rc/W, curvature, their 4.0 reduced 4% rJW, > rJW, 4 23% 1880 r^W 3 5 33% 2 7% % ofN% . . , , . \ / - • « change % rc/w —♦—migration (m/yr) 0 50 - 60 -i 40 - 1-4 t G u »- u oo Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 5.6 CHANNEL CURVATURE AND CHANNEL MIGRATION Insight into meandering processes may be gained from examining migration rates in relation to the curvature of the meander bend. Due to the form of a meander bend being determined by spatially irregular rates of migration, it is necessary to assess the maximum rate of migration when considering meander bend processes. One of the most useful indices employed to examine migration rates within meander bends is the relationship between radius of curvature and channel width, r considered an important control on meander bend migration because of its influence on the distribution of shear stress within the channel (Bathurst 1979), and it has been used in the consideration of migration rates (Hickin 1974). Generally it has been shown that lateral migration rates are greatest where channel curvature ranges from 2.0 to 3.0, and decrease above and below these values (Knighton 1998). Figure 5.10 compares migration rates of meander bends for classes of r J W in, and considers the change of channel curvature, tJW, between the two surveys. Due to the extremely low rates of meander bend migration in the deltaic plain, the analysis considers only meander bends within the alluvial valley. Migration rates and the percent change of r respective classes of r between meander bend curvature, r River is bimodal. The highest rate of migration occurs between 5 and 6, although only a few meander bends occurs within this class. A second pronounced peak, which represents the greatest number of meander bends (33 %), occurs between 2 and 3. 83 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. With the exception of 7 to 8, which consists of only 1 % of the meander bends, the lowest rates of migration occur between 3 and 4, averaging approximately 37 m/yr. This coincides with the class of meander bends having 30 % of the meander bends, and suggests that this may be an equilibrium meander curvature, r is adjusting towards. Examining the adjustment of meander bend curvature, r period provides further evidence of this. The least amount of adjustment occurred for meander bends having a curvature, rc/W, between 3 and 4, which is the class of meander bends having the lowest rate of migration and includes 30% of the meander bends. Meander bends having a curvature, r rc/W, towards the equilibrium curvature, r bends having a curvature, rc/W, greater than 4 reduce their curvature, r equilibrium curvature, r a fundamental difference in interpretation of meander bend equilibrium and the adjustment of meander bend curvature, r equilibrium curvature, r rates are highest, between 2 and 3. By examining the relationship between migration rates and the adjustment of meander bend curvature, r this study suggest that classes of meander bends having higher rates of migration are adjusting their channel morphology towards an equilibrium meander form curvature, r 84 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 5.7 CONTROLS ON MEANDER BEND MIGRATION The correlation matrices in Tables 5.1-5.3 reveal significant correlations between several parameters, and provide insight towards further analysis. Several parameters that correlate highly with meander bend migration include; Sv, dg 4 , P %, rc %, and Wbf. The controls of these parameters on rates of meander bend migration are examined by simple and multiple linear regression analysis of meander bend migration rates from Cairo to Head of Passes. Table 5.5 shows the results of models containing several combinations of these variables. The coefficient of determination, R2, represents the amount of variation in the dependent variable (maximum migration rates) explained by the independent variables. The unstandardized coefficients represent the slope of the relationship, or, the amount of increase in the independent variable required for a unit increase in the dependent variable. The standardized coefficients are dimensionless, and allow the explanatory power of individual variables to be compared. As the standardized coefficient increases, the greater the explanatory power of the variable. The parameter with the highest explanatory power was the 1911 bankfull channel width (Wbf), explaining 61% of the variability in migration rates (Nanson and Hickin 1986). Due to its relationship with discharge and energy, channel width is often considered an independent variable with respect to channel processes (Williams 1986). Channel migration is scale related (Hooke 1980), and is often shown as a function of drainage area, discharge, or channel width. Although discharge varies little in the Lower Mississippi River, the higher explanatory power of bankfull channel 85 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. Table 5.5. Simple and multiple linear regression models for meander bend migration. Cairo to Head of Passes. Dependent variable = Maximum migration (m/yr) 1 R2.50 Unstandardized Standardized t Sig. Coefficients Coefficients (Constant) 5.051 14.562 .000 Sv .899 .706 10.972 .000 2 R2 .30 Unstandardized Standardized t Sig. Coefficients Coefficients (Constant) 1.316 30.943 .000 dg4 .565 .552 7.290 .000 3 R2.61 Unstandardized Standardized t Sig. Coefficients Coefficients (Constant) -6.818 -11.473 .000 w w 2.597 .781 13.642 .000 4 R2.61 Unstandardized Standardized t Sig. Coefficients Coefficients (Constant) -1.472 -7.288 .000 Wft/Dhf 1.385 .784 13.780 .000 5 R2 2 3 Unstandardized Standardized t Sig. Coefficients Coefficients (Constant) .924 12.534 .000 P % change .419 .482 5.995 .000 6 R2 2 3 Unstandardized Standardized t Sig. Coefficients Coefficients (Constant) .601 5.038 .000 rc % change .607 .484 6.052 .000 7 R2 .63 Unstandardized Standardized t Sig. Coefficients Coefficients (Constant) -6.377 -10.737 .000 W m 2.412 .725 12.409 .000 P 1911 .598 .175 2.992 .003 8 R2 .65 Unstandardized Standardized t Sig. Coefficients Coefficients (Constant) -5.176 -8.256 .000 Whf 1.929 .589 8.968 .000 P % Change .165 .191 3.186 .002 re % change .281 .235 3.898 .000 9 R2 .64 Unstandardized Standardized t Sig. Coefficients Coefficients (Constant) -5.681 -8.058 .000 Ww 2.195 .660 9.643 .000 P 1911 .560 .164 2.810 .006 .123 .120 1.789 .076 Dg4 table continued 86 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 10 R2.61 Unstandardized Standardized t Sig. Coefficients Coefficients (Constant) -6.048 -9.628 .000 Ww 2.310 .701 11.169 .000 P% Change .151 .172 2.740 .007 11 R2 .70 Unstandardized Standardized t Sig. Coefficients Coefficients (Constant) -2.202 -2.389 .019 Sv .345 2 1 8 4.179 .000 P % change .142 .164 2.911 .004 rc% change .227 .190 3.309 .001 Wbf 1.464 .447 6.374 .000 All models significant at oc = .10 level 87 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. width in comparison to low water channel width suggests the importance of the bankfull discharge as a channel forming variable. Several other variables also were statistically significant in explaining migration rates. Valley slope (Sy) represents an energy parameter (van den Berg 1995), and explains 45% of the variability in migration rates. The high explanatory power of valley slope on channel migration likely represents the channels attempt to adjust its channel toward an equilibrium profile. Although bed material explains 30% of the variability in migration rates, it is surprising that it becomes insignificant or contributes very little when combined with combinations of other variables (model 9). Channel migration in the Lower Mississippi River occurs mainly due to bank caving events, which are often controlled by a coarse basal layer of sediments within a vertically stratified channel bank (Krinitzsky 1965; Kesel et al. 1974). Since dg 4 represents the coarse component of the bed material, it might be expected that this would be representative of the basal layer of bank material, and thus explain a larger percentage of the variability in migration rates (Thome and Tovey 1981, Nanson and Hickin 1986). Sinuosity, Piggo and P1911, explain a low percentage of channel migration rates, and were not significant at the .10 level. Sinuosity can also be considered representative of the relationship of valley slope to channel slope in dimensionless units. Therefore the adjustment of sinuosity between the two surveys, (P% change) may be considered representative of the slope adjustment of meander bends (Chang 1988). When used as an independent variable it explains 23% of meander bend 88 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. migration (model 5). It remains significant when combined with other variables, although its explanatory power decreases (models 8, 10, 11). Although radius of curvature was not found to be significant, the adjustment of radius of curvature between the two surveys has the same explanatory power as percent sinuosity change, having an R2 o f .23 (model 6). The model with the greatest explanatory power (model 11) combines bankfull channel width, valley slope, and the percent change in sinuosity and radius of curvature. Combined, these variables account for 70% of the variation of meander bend migration. However, by examining the standardized coefficients, it can be seen that the percent change in sinuosity and radius of curvature do not offer a great deal of explanatory power, although being significant at the .05 level. The three variables added to bankfull channel width only increase the explanatory power of the model by 9%, and have the effect of lowering the influence of bankfull channel width. 89 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. CHAPTER 6 POOL AND RIFFLE MORPHOLOGY 6.1 INTRODUCTION This chapter ex am ines the pool and riffle morphology of the channel bed of the Lower Mississippi River. Pools and riffles are macro bedforms (Richards 1982) which give the thalweg an undulating profile. The oscillating pattern of pools and riffles has been linked to meandering processes due to its relationship with the planform morphology (Leopold et al. 1964), and is considered one of the four degrees of freedom in channel adjustment (Knighton 1998). While Chapter 4 examined spatial and temporal trends in the spacing and depth of pools, this chapter examines interrelationships between several aspects of the pool and riffle morphology. This is followed with an analysis of the relationships between pool and riffle morphology with valley slope, bed material, and planform morphology. 6.2 SPATIAL AND TEMPORAL TRENDS IN POOL - RIFFLE MORPHOLOGY Figures 6.1-6.3 provide a more detailed look at the thalweg profile, and identifies the pools and riffles selected by employing O'Neil and Abrahams (1984) bedform differencing technique. There are a number of irregularities within the oscillating thalweg pattern in the alluvial plain, having pools and riffles that vary considerably in spacing and depth. As is the case of the planform morphology, deviations in the thalweg profile may be due to resistant sediments and the influence of neotectonics within the valley (Fisk 1944). This is suggested by the reach of higher thalweg elevation downstream of Memphis, between approximately 375 and 440 km 90 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 009 VI VI O O O VI VI O O O 3 2 n O VI r<1 O o CN O Kilometers Below Cairo Kilometers o (N O o o o in o ❖ Riffles ❖ □ Pools Pools □ 25 - 100 -i c o 5 8 o 00 oo & 75 • f i w 50 - Figure 6.1. Location of pools and riffles along the channel thalweg of the Lower Mississippi River, 1 -600 km below -600Cairo. km River, 1 Mississippi Lower of6.1. thalweg the channel Figure the riffles along ofpools and Location i—> vo Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. z ft % N < o* £ cr c ci3 Kilometers Below Cairo Kilometers <3 a g a □ Pools □ Riffles O Cairo. Figure 6.2. Location ofpools and riffles alongthe channel thalwegof the Lower Mississippi River, 600-1200 km below to vo Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. □ Pools 0 Riffles Kilometers Below Cairo Figure 6.3. Location of pools and riffles along the channel thalweg of the Lower Mississippi River, 1200 km below Cairo to Head of Passes. below Cairo (Figure 6.1). The distinct change in trend suggests possible lithologic and fault control (Fisk 1944, Schumm et al. 1994). Although two pools are identified within this reach, this section of the channel lacks an undulating trend that characterizes much of the profile. The channel section coincides with channel segments 33 to 37 (Figure 4.5), having a fairly low sinuosity, and is aligned by numerous cutoffs and ox-bow Lakes. Although the thalweg from 600 to 1200 kilometers below Cairo also has an irregular pattern, the pools increase in depth (Figure 6.2). The increased thalweg elevation in the vicinity of Greenville may be due to the Monroe Uplift The high elevation of the thalweg slightly downstream of Greenville coincides with the axis of the uplift (Fisk 1944). In comparison to the upstream flank of the uplift the pools increase in depth on the downstream flank. This coincides with an increased valley slope, and may reflect an adjustment of the thalweg profile in response to change in valley slope. Additionally, there are two high points in thalweg elevation that occur at Vicksburg and Natchez. This likely represents the influence of resistant Tertiary sediments, as the river is impinged against the eastern valley wall (Schumm et al. 1994). The channel within the cohesive deltaic plain deposits has a lower W/D, with deeper pools that are more closely spaced (Figure 6.3). 6.3 RELATIONSHIPS BETWEEN POOL - RIFFLE MORPHOLOGY AND CHANNEL WIDTH Although the above discussion has concerned pool and riffle morphology as pertaining to fluctuations in channel bed elevation, the channel bed coinciding with pools and riffles may also vary systematically in width (Richards 1976). Larger scale differences in channel width between the alluvial and deltaic plain were discussed in Chapter 5. However, channel width (Table 6.1) also has a rhythmic fluctuation, being 94 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. Table 6.1. Pool spacing (by channel widths) and width of channel (m) at pools and riffles. Pool to pool Pool Channel Riffle Channel Spacing Width Width (channel widths) (m) (m) Survey series 1880 1911 1880 1911 1880 1911 Cairo, EL to Red River Landing: N = 171 Average 11.7 11.6 682 626 918 866 Min. 3.4 2.4 280 320 320 400 Max. 98.1 33.9 1440 1080 2160 2080 C.V. .49 .50 30 23 .31 27 Above Red River Landing N = 119 Average 12.0 12.3 674 605 961 889 Min. 3.4 2.4 280 320 320 400 Max. 98.1 33.9 1,440 1080 2160 2080 C.V. .87 .50 .34 2 4 .33 29 Below Red River Landing: N = 52 Average 11.1 102 700 668 821 820 Min. 4.2 3.8 500 440 600 580 Max. 30.4 262 1100 1040 1320 1360 C.V. .53 .45 20 .18 22 .19 95 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. Table 6.2. Independent t-test of Differences in Pool and Riffle Morphology Between Alluvial and Deltaic Plain variable survey t Sig. (2-tailed) Pool Spacing 1880 0.654 0.514 (channel widths) 1911 2.312 0.022* Pool Width 1880 -1.489 0.138 1911 -2.673 0.008* Riffle Width 1880 2.971 0.003* 1911 1.616 0.100* * = Significant difference of means between alluvial and deltaic plain at a = .10 96 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. Table 6.3. Paired t-test of Pools and Riffles: 1880-1911. variable t Sig. (2-tailed) Cairo to Head of Passes Pool Spacing -0.921 0.358 (channel widths) Pool Width 3.182 0.002* Riffle Width 1.820 0.071* Cairo to Red River Landing Pool Spacing -1.314 0.191 (channel widths) Pool Width 2.565 0.012* Riffle Width 2.090 0.039* Rec River Landing to Head of Passes Pool Spacing 0.667 0.508 (channel widths) Pool Width 2.028 0.048* Riffle Width -0.345 0.731 * = Significant dL Terence in means at .10 level between 1880 and 1911 surveys 97 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. significantly wider at riffles then pools. From Cairo to Head of Passes the average channel width of riffles is 35 % wider (236 m) then at pools. Richards (1976) found that pools and riffles significantly varied in width by 15 %. This is in agreement with theories of hydraulic geometry, which suggest that changes in depth are compensated for by a change in width (Leopold and Maddock 1953). Although channel width at pools and riffles were significantly different in both the alluvial valley and deltaic plain, there is a greater difference between the channel widths of pools and riffles in the alluvial valley (Table 6.1). The channel width of pools significantly decreased in the alluvial valley and deltaic plain between the two surveys, but the width of riffles significantly changed only in the alluvial valley (Table 6.3). Pool spacing is often considered with respect to channel width, which has the effect of standardizing pool to pool spacing where there is a change in channel form., and allows for comparison of rivers of different sizes (Keller and Melhom 1978). Channel width is used because of its relationship to discharge, and can be considered an independent variable with respect to channel form. To obtain the spacing of pools in channel widths, the distance between successive pools was divided by the low flow width of the upstream riffle. The data are shown in Figures 6.4-6.6, and summary statistics reported in Table 6.1. Each figure shows the distribution for both 1880 and 1911, allowing comparisons to be made between the two surveys. It is widely reported that the spacing of pools, regardless of geomorphic setting, will average from 5 to 7 channel widths (Leopold and Wolman 1957, Keller and Melhom 1978, Gregory et al. 1994). While there is considerable variation (Figure 6.2), the pools in the Lower Mississippi River are spaced further apart then what is 98 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. > 0s s 3 o 100 50 75 25 as Cairo to Head ofPasses to Head Cairo rn Pool Spacing (channel widths) (channel Pool Spacing In —A— 1911% —A— CZZ31880 CZZ31880 -e -1 8 8 0 % CZZ11911 CZZ11911 5 0 10 15 20 25 c o >» cr P-, Figure 6.4. Frequency ofpool to pool spacing by channel widths, Cairo to Head ofPasses. VO VO Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 100 ro Os Above Red River Landing AboveRiver Red Pool Spacing (channel widths) (channel Pool Spacing [ZZ51911 -e -1 8 8 0 % —A—1911% [5531880 5 0 10 15 20 25 o c S cr PL, Figure 6.5. Frequency ofpool to pool spacingby channel widths, Cairo to Head ofPasses. o o Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. U £ 3 - - 75 r 100 O s r j Below Red River BelowLanding River Red Pool Spacing (channel widths) (channel Pool Spacing —B—1880% —B—1880% - A - 1911% CZ31880 CZZI1911 - 25 T 20 Figure 6.6. Frequency ofpool to pool spacing by channel widths, Cairo to Head ofPasses. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. commonly reported in the literature. When the entire channel is considered, from Cairo to Head of Passes, pools are spaced on average 11.7 channel widths apart (Table 6.1), and did not significantly change in the 1911 survey (Table 6.4). In general, for both surveys it can be seen that the distribution has a slight negative skew, with the majority of pools occurring in the lower classes, and tapering off towards the higher ranges. However, the distribution of pool to pool spacing varies somewhat when compared between the alluvial valley and deltaic plain (Figure 6.5, 6.6). In 1S80 the average spacing of pools in the alluvial valley was 12.0 channel widths, compared to 11.1 channel widths in the deltaic plain. Both the alluvial valley and the deltaic plain have several pools that are spaced further then 20 channel widths apart The maximum pool to pool spacing was 98.1 channel widths, which occurred downstream of Memphis between 375 and 400 kilometers below Cairo. Although there is a significant difference in the depth and distance between pools, results from Independent t-tests reveal that there was not a significant difference in pool spacing between the valley and deltaic plain in 1880. This in agreement with Keller and Melhom (1978), who found the spacing of pools to be constant across a range of geomorphic settings. However, there was a significant difference between the spacing of pools between the alluvial valley and deltaic plain in the 1911 survey. Summary statistics in Table 6.1 shows that the average spacing in the alluvial valley increased from 12.0 to 12.3 channel widths, while in the deltaic plain the spacing of pools decreased from 11.1 to 10.2 channel widths. The difference in spacing between the two years was great enough for the difference to become statistically significant. Since the distance between pools did not significantly change (Table 6.2), the 102 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. Table 6.4. Independent t-test between channel widths o f pools and riffles. Section of River t-stat Sig. Cairo to Head of Passes: 1880 -10.064 .000* Cairo to Head of Passes: 1911 -11.644 .000* Cairo to Red River Landing: 1880 -8.015 .000* Cairo to Red River Landing: 1911 -10.293 .000* Red River Landing to Head of Passes: 1880 -3.754 .000* Red River Landing to Head of Passes: 1911 -6.131 .000* * = Significantly different at the a = .001 leve 103 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. difference in 1911 must be due to the significant decrease in riffle width, which is used as the denominator in determining the spacing of pools. The depth of pools and distance between successive pools has often been shown as being a function of channel width due to its relationship with discharge (Harvey 1975; Knighton 1998). This suggests that pool depth and the distance between pools will increase as channel width increases. Figures 6 .1 -6 .9 shows the relationship between pool to pool spacing (m) with channel width. The Lower Mississippi River does not show a significant trend between these variables, as there is considerable scatter associated with both forms of channel width. Since the alluvial valley and deltaic plain represent unique geomorphic settings, it may be expected that the relationships would change when plotted separately. However, Figures 6.8 and 6.9 do not reveal any change in the relationship between these variables. What is noticeable is the distinction between riffle width and pool width, which is revealed by the differential plotting of the trend-lines. Since riffle width is on average greater then pool width, it plots above pool width. The relationship between pool depth and channel width is shown in Figures 6.10-6.12. However, as is the case with pool spacing and channel width, there is considerable scatter between the variables. The slight trend between pool width and depth suggests that as the width of pools decreases, the depth of pools increases. The relationship is stronger above Red River Landing, and is not significant in the deltaic plain. Given the number of studies that have demonstrated a linkage between these variables, the lack of a significant relationship is somewhat surprising. However, the majority of studies on this topic involve rivers where there is an increase in discharge and channel width, either in a 104 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 50000 1 40000 Riffle: =R2 0.000 Pool: =R2 0.001 S O RiffleO Width (m) □ Pool Width (m) Pool Spacing (m) Cairo to Head ofPasses 20000 30000 D 8 D 0 0 0 o o 10000 -\ - - 500 - 1000 2500 -I 2000 (L> £ U / " “ ■s & | 1500 Figure 6.7. Relationshipbetween distance between pools (m) and channel widthsPasses. (m) ofpools and riffles. Cairo to Head of o Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. I 50000 40000 Pool: = R2 0.006 6 O RiffleO Width (m) □ Pool Width (m) Riffle: =R2 0.005 1880: 1880: Pool Spacing (m) Cairo to Red River Landing O O o 10000 10000 20000 30000 - 1000 1000 2000 2500 n § 500 i g 1500 "jo 1 u ?V Figure 6.8. Relationship between distance between pools (m) and channel widths (m) ofpools and riffles. Cairo to Red River Landing. os o Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. Figure 6.9. Relationship between distance between pools (m) and channel widths (m) of pools and riffles. Red River Red riffles. and Passes. pools of of (m) Head to widths Landing channel and (m) pools between distance between Relationship 6.9. Figure 1880: Channel Width (m) 2000 i 2500 1000 - 1500 0 - 500 - - 0 10000 Red River Landing to Head of Passes of Head to Landing River Red Pool: Pool: 1880: Pool Spacing (m) Spacing Pool 1880: 20000 R2 = 0.000 = 00 40000 30000 □ Pool Width (m) Width Pool □ O Riffle Width (m) (m) Width Riffle O 50000 40 —j 35 pool: R = 0.10 riffle: =Rz 0.01 riffle width (m) O □ pool width (m) o 1880: (m) Pool Depth 1880: Cairo to Head of Passes Head to Cairo 10 10 15 20 25 30 x . % o . 2500 2000 H P* P* 1500 - 13 1 -I 1000 0 1 500 & I Figure 6.10. Relationship betweenpools depth (m) and channel widths (m) ofpools and riffles. Cairo to Head ofPasses. o 00 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 40 Riffle Width (m) O □ Pool Width (m) 30 35 Pool: = R2 0.09 O a Riffle: = 0.000R2 O O 1880: (m) Pool Depth 1880: Cairo to Red River Landing River Red to Cairo 10 10 15 20 25 □ □ o 0 o A A - 2000 2500 n (D o © 00 2 500 I £ 1500 - 1 iooo Figure 6.11. Relationship between pools depth (m) and channel widths (m) of pools and riffles. Cairo to Red River to Red Cairo riffles. of (m) pools and widths channel 6.11. and (m) Figure pools between depth Relationship Landing. o vo Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. p 35 40 Pool: R = 0.000 30 O RiffleO Width (m) □ Pool Width (m) a Riffle: = R2 0.005 TTT — 1 ------1 □□ □□ a ------1880: (m) Pool Depth 1880: 1 w0 w0 0 <» 00 Red River Landing to Head ofPasses Head to Landing River Red ------1 ------5 5 10 15 20 25 _i 500 - 2500 n 2000 o £ 1500 g 1000 o 00 00 Figure 6.12. Relationship between pools depth (m) and channel ofwidthsPasses. (m) ofpools and riffles. Red RiverLanding to Head Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. downstream direction due to the contribution of tributaries, or from exam ining several rivers ranging in size and setting. This reduces the effect of the variability associated with a river where there is little variability in downstream discharge and channel width, which is the case of the Lower Mississippi River. 6.4 RELATIONSHIPS BETWEEN POOL - RIFFLE MORPHOLOGY AND VALLEY SLOPE The poor relationship between channel width and pool and riffle morphology suggests that other variables may have greater control on the characteristics of pool and riffle morphology. Although the influence of valley slope on the planform geometry, particularly sinuosity, has been extensively studied (e.g. Schumm and Kahn 1972), fewer studies have exam ined the influence of valley slope on the pool and riffle morphology. This is somewhat surprising given the linkages between the pool and riffle morphology with planform geometry and channel equilibrium. As in the case of sinuosity, changes in valley slope may explain irregularities within die thalweg profile. Figure 6.13 indicates the influence of valley slope on the distance between pools. When the 11 valley segments are considered, valley slope explains only 6 % of the variation in pool to pool spacing. However, owing to die distinct differences in the channel characteristics between the alluvial valley and deltaic plain, the data is considered individually for each geomorphic setting. In this case, the amount of variation in pool spacing explained by valley slope in the alluvial valley increases to 11%. The amount of variation in the deltaic plain increases to 71 %, although there are only three data points, and as such there should not be too much weight given to these findings. However, the differing positions of the trend lines confirms the differences in pool spacing explained in the earlier portions of this chapter. I l l Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. iue61. Relationship(m/m)and slope between Figuredistancevalley (m)between pools.6.13. 1880: Pool Spacing (m) 00 -i 20000 10000 - 15000 00 - 5000 -0.00005 - 0 0.00005 Valley Slope (m/m) Slope Valley 0.0001 Below Red River Landing: R2 = 0.71 R2 = Landing: River Red Below Above Red River Landing: R2 = 0.11 R2 = Landing: River Red Above 0.00015 0.0002 0.00025 When pool depth is regressed against valley slope, there are again two distinct groupings (Figure 6.14). Although only 9 % of the variation in pool depth is explained by valley slope in the deltaic plain, the data plots substantially higher then pool depth in the alluvial plain. The lack of a trend suggests the uniformity of pattern of pool depth within the deltaic plain. There is an inverse relationship between pool depth and valley slope above Red River Landing, with 24 % of the variation in pool depth explained. Although there is some scatter within the data, the pattern suggests that pool depth decrease with increasing valley slope. The preceding analysis concerning pool spacing and depth revealed a poor relationship between these variables (Figures 6.10-6.12). However, by standardizing pool spacing with channel width and aggregating the data for each of the 11 valley segments, the relationship between the variables can be assessed with the influence of valley slope inherent within the data. Figure 6.15 shows the relationship between these variables with the data subdivided between the alluvial valley and deltaic plain. By utilizing this approach, it can be seen that 62 % of the variation in pool depth is explained by pool to pool spacing in channel widths, suggesting the depth of pools increases with increasing pool spacing. The data plotted for the deltaic plain does not suggest a trend. 6.5 RELATIONSHIPS BETWEEN POOL - RIFFLE MORPHOLOGY AND BED MATERIAL The association of bed material with pool depth is shown in the correlation matrix in Table 6.5. There is a significant negative correlation between bed material (dg4 mm) and pool depth for the 1880 and 1911 surveys from Cairo to Head of Passes (Table 6.5). This indicates that pools become deeper as the size of the bed material 113 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 0.00025 0.0002 0.00015 Below Red River Landing: =R2 0.09 0.0001 Above Red River Landing: =R2 0.24 Valley Slope (m/m) 0.00005 0 - 1 0 -0.00005 20 ~ Figure 6.14. (m). Figure pool depth valley between and slope (m/m) Relationship Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 20 15 Above Red River Landing: =R2 0.62 Below Red River Landing:= 0.002R2 10 1880: Pool Spacing (channel widths) (channel Pool Spacing 1880: 5 0 5 0 15 10 a u o Q ’o a, 00 ■s © 00 Figure 6.15. Relationship between the distance between pools (m) and pool depth (m) for data correspondingto each valley section. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 0.08 0.27 0.10 0.05 0.09 0.07 0.09 0.06 0.12 0.10 -0.22 -0.14 -0.15 -0.07 -0.06 0.29* rJW% r Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. decreases. The correlation is stronger when the entire length of the channel is considered, from Cairo to Head of Passes, which reflects the distinct sedimentological and morphological differences in the alluvial valley and deltaic plain. Since the bed material was sampled in 1932, it is somewhat surprising that there was not a significant correlation between the depth of pools above Red River Landing in the 1911 survey. Bed material is also significant when correlated with the percent change in pool depth. The direction of the trend is positive, and is stronger when only the channel above Red River Landing is considered. This indicates that between the 31 years of the two surveys, that pools have a tendency to increase in depth with increasing size of bed material. 6.6 RELATIONSHIPS BETWEEN POOL - RIFFLE MORPHOLOGY AND PLANFORM MORPHOLOGY There have been relatively few studies that have examined the pool and riffle morphologywithin the context of the adjustment of planform channel geometry. In Chapter 5 the influence of channel curvature on channel migration was shown. However, channel curvature may also have an influence on the depth of pools. In this section, the depth of pools is considered with respect to channel curvature, which is expressed as radius of curvature, meander bend curvature (r sinuosity. Correlation matrices are employed to explain the associations between these variables and pool depth, the percent change in pool depth between the two surveys, and the number of pools within a channel segment (Table 6.5). Sinuosity does not show a significant correlation in 1880, but correlates with several variables in the 1911 survey. Above Red River Landing, sinuosity correlates negatively with the number of pools within a channel segment This indicates that 117 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. straighter channel segments tend to have a higher number of pools. There is a positive correlation between sinuosity in 1911 with die percent change in pool depth. Since the percent change in sinuosity also shows the same strength and direction of correlation with percent change in pool depth, this indicates that channel segments that increased in sinuosity between 1880 and 191 lalso increased the depth of pools associated with these channel segments. Further proof of this is given from the negative correlation between the percent change in sinuosity and depth of pools in 1880, which indicates that sinuosity increased in those channel segments which did not have deep pools. There are no significant correlations with sinuosity in the deltaic plain. Since the strength of the correlations are nearly identical in the alluvial valley and when the entire channel is considered (Cairo to Head of Passes), this supports the findings reported from the t-tests, which found that sinuosity and pool and riffle morphology did not significantly change in the deltaic plain. There are several significant correlations between radius of curvature with pool depth (Table 6.5). When the entire length of the channel is considered, there is a negative correlation between radius of curvature and pool depth for both 1880 and 1911. The trend strengthens in the alluvial valley. Radius of curvature is a measurement of the size of a meander bend, and thus this correlation indicates that smaller meander bends tend to have deeper pools. However, radius of curvature alone does not indicate the "sharpness" of a meander bend, as it is scale related. Channel curvature, r radius of curvature, and is more representative of the "sharpness" of a meander bend. From Cairo to Head of Passes in 1880 and 1911 deeper pools tend to be associated 118 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. with "sharper" meander bends, as r bend curvature has been linked to the control of shear stress distribution within meander bends (Bathurst 1979). Thus the correlation between meander bend curvature and pool depth may suggest that smaller meander bends are able to more effectively scour their channel bed, causing pools to increase in depth. The spatial variation between the alluvial valley and deltaic plain is of interest The variables are correlated in 1911 in the alluvial valley, but not for the 1880 survey. As Chapter 4 and 5 indicated, in the alluvial valley meander bends became increasingly elongate, as sinuosity increased and radius of curvature decreased between the 1880 and 1911 survey. Thus the results of these correlations indicate that as the meander bends were becoming increasingly elongate, the pools which were associated with the meander bends increased in depth. 119 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. CHAPTER 7 DISCUSSION, CONCLUSIONS, AND FUTURE RESEACH 7.1 DISCUSSION 7.1.1 Mechanisms of Channel Change Although this study has mainly concerned the characterization and adjustment of channel pattern, additional insight into meandering processes may be gained by considering the findings within the context of their causal mechanisms. Controlling mechanisms of bank retreat and the development of planform morphology in meandering rivers has often been related to flooding and mass failure of heterogeneous bank sediments (Kesel et al. 1974; Hooke 1980; Twidale 1966; Thome and Osman 1988; Lawler 1995). In the Lower Mississippi River the flood regime is markedly seasonal, which means that planform change in this study has occurred over approximately 31 flood events. However, the process of bank erosion occurs differentially during the flood hydrograph. During the rising and peak stage of a flood event, basal sediments erode due to scour and flow-failure of coarse-grained bank sediments at title channel bed. This reduces the support of the upper bank sediments, which become saturated and fail during the receding limb of the flood hydrograph (Kesel et al. 1974). Krinitzsky (1965) found this to be the mechanism of bank failure in the area between Lake Providence and Vicksburg, which in this study had the highest rates of meander bend migration, 123.4 m/yr (Figure 4.7), and change in sinuosity (Figure 4.4). 120 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. While the mechanism of bank retreat is related to the seasonal flow regime, the geometry and helicoidal flow pattern of meander bends represent a self-regulatory mechanism (Callander 1978). This enables the meander bend to maintain an equilibrium form, which is often related to a ratio of radius of curvature to channel width, r has important implications regarding the control of meander bend processes in the alluvial valley. While the most stable meander bend curvature, r valley was found to be between 3.0 and 4.0 (Figure 5.10), the ratio is also likely controlled by the distribution of shear stress within the meander bend. A number of authors have shown that as the r Lower Mississippi River), the flow path in the channel changes and causes increased erosion upstream and downstream of the meander bend apex. This triggers a negative feedback, as the meander bend increase its r r,/W towards a more stable form. Conversely, a meander bend that increases its curvature beyond a stable meander bend r J W causes excessive erosion at the apex, resulting in a more arcuate meander bend (Bathurst 1979; Richards 1982). The importance of helicoidal flow with regards to meander bend processes in the alluvial valley is further suggested by the interrelationship between the planform and pool and riffle morphology, as described in Chapters Five and Six. Meander bends that became increasingly elongate were found to increase the depth of pools associated with these bends. This is in agreement with a number of studies that have found an increase in shear stress exerted at the channel bed on the concave portion of 121 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. the meander bend. As the bend becomes more arcuate the flow is concentrated within the meander bend, which increases superelevation of the flow. The increase in boundary shear stress causes scour of the channel bed, which increases the depth of pools (Callander 1978; Dietrich 1987). 7.1.2 Influence of Sediment and Valley Slope Heterogeneous sediments within the channel perimeter (Fisk 1947, Winkley 1970) are likely responsible for the low explanatory power of many of the empirical relations (Knighton 1987; Schumm et al. 1994). The complexity of sediments within the channel perimeter makes it difficult to generalize downstream trends in grain size. Tributaries entering the Lower Valley contribute coarse-grained sediments and are responsible for the Lower Mississippi River lacking a smooth downstream decline in bed material size (Leopold et al. 1964). The influence of sediment contribution by tributaries is exacerbated by their low discharge contribution, which results in the Lower Mississippi River having little downstream variation in discharge (Figure 2.2). The issue of channel sediments is further complicated because sediments of different sizes and cohesion are often vertically stratified within the channel bank (Krinitzsky 1965; Torrey et al. 1988). In addition to the sediment load within the channel, modem sedimentary units of significance include backswamp deposits and clay plugs (Figure 7.1). Clay plugs are much less numerous below Vicksburg, as the river flows within a younger meander belt and the channel is less confined (Fisk 1947). In combination with the fewer number of clay plugs, the Grand Gulf Group has been deeply scoured 122 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. Control of River Alignment by Clay Plugs in the Lake Providence Reach of the Mississippi River 3rocr MayersvilJe Sand deposits in which v :: l river can migrate freely ,/y//A Clay plugs of /////A variable thickness Providence -32*45* Modified from Fisk. 1944 Figure 7.1. Control of channel activity by resistant clay plugs in the vicinity of Lake Providence, LA (modified from Fisk 1944). 123 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. (Figure 7.2) and does not restrict channel movement, as this portion of the river has the highest rates of channel migration in the Lower Mississippi River (Figure 4.7). In many reaches older sediments and bedrock are in contact with the channel bed (Humphreys and Abbott 1861; Winkley 1994). In several instances., changes in the profile of the meander belt ridge is due to the occurrence of resistant bedrock, and therefore also represent a change in lithology. Thus it may be difficult to isolate the effects of changes in slope from the change in lithology on channel processes. For example, on the upstream flank of the Monroe Uplift, the valley slope is flattened and channel sinuosity is lower then on the down-valley flank of the uplift dome. However, up-valley of the uplift axis the thalweg is incised within cohesive Tertiary clay of the Yazoo formation, restricting lateral movement of the channel. On the downstream flank the channel is in contact with the erosive Cockfield sand and gravel (Winkley 1970), and both sinuosity and channel migration increase (Figure 7.2). 7.1.3 Linking Pool and Riffle Morphology with Meandering Process The consideration of the adjustment of channel form with regards to energy and resistance provides a conceptual framework in which to view meandering processes between the alluvial valley and the deltaic plain. Channel morphology in the alluvial valley is characterized by its planform morphology having a sinuous laterally migratingchannel. The morphology of a meandering river adjusts to an equilibrium profile that minimizes the rate of energy expenditure within the channel (Langbein and Leopold 1966; Cherkauer 1973). A meandering pattern enables a river to regulate its energy and resistance in several ways. As a river channel migrates laterally, the slope 124 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. T S 'W - J33* U! UOI1SA3I3 O o !«■“ .5 e •E| s I s c e» •u ■1 =• 3> ^999999 Figure 7.2. Long-profile of bedrock and older sediments within the Lower Valley (modified from Fisk 1944). 125 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. of the channel is reduced, which reduces kinetic energy within the channel (Friedkin 1945). Additionally, meanders directly increase energy expenditure by increasing resistance due to channel curvature and increasing the length of the surface with which the streamflow is in contact (Richards 1982; Knighton 1998). By development of a series of meander bends, energy expenditure is more uniformly distributed along the entire length of the channel, which reduces the variance of energy expenditure (Yang 1971). Whereas in the deltaic plain there are fewer meander bends, the channel is characterized by low sinuosity, low W/D, with deeper pools that are closely spaced. While the river can not expend energy in the lateral dimension due to the resistance of the cohesive bank sediments, the pattern of pools and riffles formed in the channel bed function to increase the proportion of energy expenditure at the bed of the channel (Langbein and Leopold 1966; Yang 1971), and has been referred to as vertical meandering (Whol 1993). Additionally, while the cohesive nature of the deltaic plain sediments can be seen as influencing the pattern of erosion on the channel bed, it also may influence the pattern of sediment deposition. Since the river can not erode its channel hanks, it inhibits the development of point-bar platforms necessary for meandering (H. Ikeda 1989). The bed material that would be stored in point bar platforms is confined to a smaller area within the channel bed. The sediment is stored in riffles rather then point bars, which increases the relative depth of pools. 126 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 7.1.4 Significance and Contribution Findings from this research have regional significance in that they establish the base-line geomorphic conditions of the river before major human disturbance, while the river is considered representative of its natural channel regime. By analysis of flow stage data, several researchers have suggested that the channel of the Lower Mississippi River was infilling and becoming wider during this period. However this conclusion may be faulty on several accounts. The data had not been corrected for the error in the vertical datum associated with the 1880 and 1911 hydrographic surveys. Additionally, the increase in stage coincides with increasing levee heights. By adjusting the 1880 and 1911 surveys to a common ALWP it has been shown in this study (Chapter Four) that channel width did not significantly increase between the two surveys. Ockerson (1892) in a study of bank caving along the Lower Mississippi River makes a similar observation. The conclusion that the Lower Mississippi River was not significantly degrading its channel during this period is further substantiated by findings from analysis of the pool and riffle morphology. The pool and riffle morphology is one of the primary means of channel adjustment during a degradational phase (Dury 1971). Excessive erosion in the planimetric dimension would likely be responsible for a decrease in pool depth due to channel infilling and an increase in channel width due to bank failure. However, temporal analysis of the pool and riffle morphology between the 1880 and 1911 surveys found that the depth and spacing of pools did not significantly change between the two surveys. 127 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. From the larger perspective of meandering processes this study is significant for several reasons. The majority of studies on this topic concern smaller coarse grained systems, thus this study represents a departure from the literature in that the Lower Mississippi River is a very large complex system. Of worthnoting is the deviation from the expected trends of channel width and sinuosity with bed material, which has been found by a number of researchers to have significant control on these dimensions of channel morphology (e.g. Schumm 1960, 1963; Ebisemiju 1994; van den Berg 1995). While the coarse component of the bed material is often considered representative of the bank material in meandering rivers, the heterogeneously stratified channel banks in the Lower Mississippi River indicate that this generalization does not always hold true. Thus empirical relationships in large river systems such as the Lower Mississippi that are influenced by older sediments and bedrock may be of little use unless they are refined in a manner which addresses the unique conditions of the system under consideration (Knighton 1987; Petts 1995). One of the more significant findings of this study concerns the importance of the pool and riffle morphology with respect to meandering processes. Much of the literature suggests that this is mainly a characteristic of coarser-grained systems (e.g. Knighton 1998), which it likely due to many studies on this topic having established that pools and riffles differ with respect to their sedimentology (e.g. Hirsch and Abrahams 1981; Milne 1982; Clifford 1993; Sear 1996). Findings from this study suggest that the pool and riffle morphology is a fundamental component of the meandering process in large fine grained fluvial systems, and can become the 128 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. predominant manner in which the river adjusts its channel morphology to reduce the variance of energy expenditure within the channel. 7.2 CONCLUSIONS 1.) Downstream trends in thalweg elevation coincide with major changes to the sediment regime and valley slope. The channel thalweg has a concave profile, with the departure from linearity occurring in the lower alluvial valley, near the boundary with the deltaic plain. The distance between pools decreases and the depth of pools increases in a downstream direction, but did not significantly change over time. 2.) Downstream patterns of channel width, radius of curvature, and sinuosity depart from common trends, having a concave, linear, and convex downstream profile, respectively. The departure from linearity for channel width and sinuosity occurs in the middle and lower portions of the alluvial valley where there is a significant change in the sediment regime and valley slope. Sinuosity significantly increases within the alluvial valley between the 1880 and 1911 surveys, with the greatest amount of change occurring from 800 to 1200 km below Cairo. 3.) Channel migration varies considerably between the alluvial valley and the deltaic plain, averaging 27 m/yr and 3 m/yr, respectively. The highest rates of channel migration coincide with the greatest change in sinuosity, from 800 to 1200 km below Cairo. 4.) Sinuosity increased and radius of curvature decreased between the two surveys within the alluvial valley. Much of the reduction in radius of curvature occurred 129 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. where sinuosity increased, between 800 to 1200 km below Cairo, as meander bends in this reach became increasingly elongate between 1880 and 1911. 5.) Analysis of meander bend migration with the adjustment of channel curvature, r rc/W, occurs between 3.0 and 4.0. Meander bends having a curvature, r increase their curvature, r 4.0 reduce their curvature, r 6.) Channel migration is best explained by bankfull channel width. In contrast, channel width for low water was not significant, which suggests the importance of the hank-full discharge as a channel forming discharge. 7.) There is a significant difference between the widths of pools and riffles. Channel width at riffles is 35 % greater then the channel width of pools. 8.) The spacing of pools by channel widths is greater then what is commonly reported in the literature. In the alluvial valley pools are spaced on average 12.0 channel width apart, whereas in the deltaic plain pools are spaced every 11.1 channel widths. However, there is not a significant difference in pool spacing by channel widths between the alluvial valley and deltaic plain in 1880. 9.) While in the alluvial valley straighter channel segments tended to have a higher number of pools, sinuous channel segments had deeper pools that increased in depth as the channel segments became more arcuate. Additionally, deeper pools were associated with finer bed material. However, the depth of pools increased faster in coarse-grained channel segments. 130 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 10.) Although pool and riffle morphology is usually represented as being related to the planform morphology, in the Lower Mississippi River it is better developed in the deltaic plain where there are few meander bends. 7.3 FUTURE RESEARCH While this study has addressed a number of issues concerning meandering processes in the natural channel regime of the Lower Mississippi River, there is a need for additional work on several key fronts. This study has focused on examining the differences in the meandering processes between the alluvial valley and deltaic plain, which may serve to. mask some of the significant relationships between variables. More in depth research could be undertaken with the existing database considering smaller channel reaches. One approach that would likely enhance the current study would be to subdivide the individual channel segments according to the type of sedimentary environments they are migrating within. This would allow the different sedimentary units to be examined individually with regards to their influence on meandering processes. However, this approach could be further improved upon by employing a detailed sedimentological database that takes into account the vertical stratification of channel bank sediments. Such data could lead to the refinement of existing empirical models concerning bank failure, channel migration, and channel pattern. Much of this data exists in the form of reports and studies for different channel sections completed by the U.S. Army Corps Engineers Waterways Experiment Station, but needs to be assimilated into a single database. 131 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. The hydraulic component of the system can be accounted for by using the water surface slope for estimation of stream power and the boundary shear stress on the channel bed. When combined with the sedimentological data, this may allow for a greater comprehension of the mechanics of channel processes, which may elucidate thresholds in channel patterns. While this study has examined pool and riffle morphology, additional work on this topic could be done which employs more sophisticated techniques that may aid in identifying the relationship with other dimensions of the channel morphology. One such approach that has not yet been utilized on pool and riffle morphology is fractal analysis. While it has been employed in the analysis of meander bends (e.g. Montgomery 1996) the oscillating pattern of the pool and riffle morphology suggests an application in the Lower Mississippi River. Finally, as this study has characterized geomorphic processes during the natural channel regime of the Lower Mississippi River, additional research should examine channel adjustment in response to human modifications. 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Winkley (Eds.), The Variability o f Large Alluvial Rivers, American Society of Engineers Press, New York, NY, pp. 13- 44. Sear, D.A. 1996. Sediment transport processes in pool-riffle sequences. E a rth Surface Processes and Landforms, v. 21, pp. 241-262. SPSS 1998. SPSS Base 8.0 Applications Guide. SPSS Inc., Chicago, IL, 372 p. Tanner, W.F. 1960. Helicoidal flow, a possible cause of meandering. J o u rn a l o f Geophysical Research, v. 65, no. 3, pp. 993-995. Thompson, A. 1986. Secondary flows and the pool-riffle unit: a case study of the processes of meander development Earth Surface Processes and landforms, v. 11, pp. 631-641. Thome, C.R. and Osman, AM. 1988. The influence of bank stability on regime geometry of natural channels. In W.R. White (Ed.), International Conference on River R eg im e, Hydraulics Research Limited, John Wiley & Sons, pp. 135-147. Thome, C.R. and Lewin, J. 1979. Bank processes, bed material movement and planform development in a meandering riven In D.D. 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Geomorphology, v. 12, pp. 259-279. 143 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. Walters, W.W. Jr. 1975. Regime Changes o f the Lower Mississippi River, Conception, Construction, and River Response. Potamology Investigations Report, 330- 2, U.S. Army Engineer District, Vicksburg, MS, 209 p. Watson, C.C. 1982. An assessment of the Lower Mississippi River below Natchez, MS. PhJD. dissertation, Colorado State University, Fort Collins, Colorado. Williams, G.P. 1986. River meanders and channel size. Journal o f Hydrology, v. 88, pp. 147-164. Winkley, B.R. 1970. Influence of geology on regimen of a river. American Society of Civil Engineers National Water Resources Engineering Meeting, Memphis, TN, 35 p. Winkley, B.R. 1977. Man-Made Cutoffs on the Lower Mississippi River, Conception, Construction, and River Response. U.S. Army Corps of Engineers, Vicksburg District, 209 p. Winkley, B.R. 1982. Response of the Lower Mississippi River to river training and realignment In R.D. Hey, J.C. Bathhurst and C.R. Thome (Eds.), G ravel-B ed R iv e rs, Wiley, Chichester, U.K., pp. 659-681. Winkley, B.R. 1994. Response of the Lower Mississippi River to flood control and navigation improvements. In S.A. Schumm and B.R. Winkley (Eds.), The Variability o f Large Alluvial Rivers, American Society of Engineers Press, New York, NY, pp. 45-74. Wohl, E.E., Vincent, K.R., and Merritts, DJ. 1993. Pool and riffle characteristics in relation to channel gradient Geomorphology, v. 6, pp. 99-110. Yang, T.Y. 1971. Formation of riffles and pools. Water Resources Research, v.7, no.6, pp. 1567-1574. 144 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. VITA Although Paiil Franklin Hudson was bom in Eau Claire, Wisconsin on April 29, 1968, he considers himself a southerner. After living in Iowa until the age of ten, his family moved to Jacksonville, Florida, the Sunshine State, in 1978. In Jacksonville Paul attended Terry Parker High School, and graduated in 1986. The following fall he entered college at Jacksonville University, where his father is a professor of music. His decision to study geography late in his junior year would be a turning point in his life. Upon graduation with honors from Jacksonville University in 1991, he attended graduate school in geography at the University of Florida, and studied with Joann Mossa (an L.S.U. alumna), where he developed an interest in fluvial geomorphology. After graduating with a Master of Science degree in August of 1993, he moved to the Bayou State to pursue a doctorate in geography at Louisiana State University, with an emphasis in fluvial geomorphology. This spring he accepted an academic position at the University of Texas at Austin, where he will move upon graduating from L.S.U. in August of 1998 with the degree of Doctor of Philosophy in geography. 145 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. DOCTORAL EXAMINATION AND DISSERTATION REPORT Candidate: Paul Franklin Hudson Major Field: Geography Title of Dissertation: Meandering Processes and Channel Morphology in the Lower Mississippi River Prior to Major Human Disturbance Approved: fLj~j / / • Major^vmm Professor EXAMINING COMMITTEE: Jijri'i ft- , % ■ c ^ kl <- (Z lA ^bU A ,/ 9 ____ 7 / Date of Kxamination: July 2nd, 1998 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. IMAGE EVALUATION 1.0 s£ U2^ mm 2.2 3.6 £ 2.0 l.l 1.8 i m 1.25 II 1.4 1.6 150mm IM/4GE. Inc 1653 East Main Street Rochester. NY 14609 USA Phone: 716/482-0300 Fax: 716/288-5989 © 1993. Applied Image. Inc.. 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