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# Population Ecology:First PrinciplesJohn H. Vandermeer & Deborah E. Goldberg

 TABLE OF CONTENTS:List of Figures xiList of Tables xviiPreface xixCHAPTER 1: Elementary Population Dynamics 1Density Independence: The Exponential Equation 3Density Dependence: Intraspecific Competition 10The Logistic Equation 14The Yield-Density Relationship 21Density Dependence and Mortality: Thinning Laws 26CHAPTER 2: Life History Analysis 35Investment in Survivorship versus Reproduction: The r, K Continuum 37Cost of Reproduction 41Optimal Reproductive Schedules 44CHAPTER 3: Projection Matrices: Structured Models 51Elementary Population Projection Matrices 52Non-age Structure: Stage Projection Matrices 62Eigenvectors, Reproductive Value, Sensitivity, and Elasticity 69Applications of Population Projection Matrices 73The Dall's Mountain Sheep: A Static Life Table 74Palo de Mayo: A Dynamic Life Table 75The American Beech: Testing Hypotheses with Dynamic Life Tables 77Density Dependence in Structured Populations 80Density Dependence in a Simple Age-Structured Model 81Density Dependence in Size-Distributed Populations 84Density Dependence in a Stage-Structured Model 92Appendix A. Basic Matrix Manipulations 94CHAPTER 4: A Closer Look at the "Dynamics" in Population Dynamics 101Intuitive Ideas of Equilibrium and Stability 103Eigenvalues: A Key Concept in Dynamic Analysis 114Basic Concepts of Equilibrium and Stability in One-Dimensional Maps 120The One-Dimensional Map 121Stability and Equilibrium in the Logistic Map 130Basins of Attraction in the Logistic Map 133Structural Stability 135Bifurcation Diagrams 142Concluding Remarks 149CHAPTER 5: Patterns in Space and Metapopulations 155The Poisson Distribution 158The Question of Scale 163Metapopulations 167Assumptions of Metapopulation Models 171The Rescue Effect and Propagule Rain 173CHAPTER 6: Predator-Prey (Consumer-Resource) Interactions 177Predator-Prey Interactions: First Principles 179Density Dependence 185Functional Response 186Functional Response and Density Dependence Together 193Paradoxes in Applications of Predator-Prey Theory 195Predator-Prey Dynamics: A Graphical Approach 198Predator-Prey Interactions in Discrete Time 205CHAPTER 7: Epidemiology 209Direct Disease Transmission 210Indirect Disease Transmission 217CHAPTER 8: Competition and a Little Bit of Mutualism 221Competition: First Principles 222The Competitive Production Principle: Applications of Competition Theory to Agriculture 234Mutualism 235Competition: The Details 240CHAPTER 9: What This Book Was About 255Glossary 261References 265Index 273Return to Book DescriptionFile created: 4/21/2017 Questions and comments to: webmaster@press.princeton.eduPrinceton University Press