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

 TABLE OF CONTENTS:List of Figures xiList of Tables xviiPreface xixONE Elementary Population Dynamics 1Density Independence: The Exponential Equation 2Density Dependence 9The Logistic Equation 13The Yield-Density Relationship 17Density Dependence and Mortality: Thinning Laws 22Density Dependence in Discrete Time Models 28TWO Projection Matrices: Structured Models 30Elementary Age-Structured Population Projection Matrices 30Non-Age Structure: Stage Projection Matrices 39Eigenvectors, Reproductive Value, Sensitivity, and Elasticity 45Density Dependence in Structured Populations 48Density Dependence in a Simple Age-Structured Model 48Density Dependence in Size-Distributed Populations 50Density Dependence in a Stage-Structured Model 56Appendix: Basic Matrix Manipulations 57Matrix Multiplication 57Matrix Addition and Subtraction 58The Identity Matrix 59The Determinant of a Matrix 59THREE Applications of Simple Population Models 62Life History Analysis 63Investment in Survivorship versus Reproduction: The r-K Continuum 64The Cost of Reproduction 66Optimal Reproductive Schedules 67Applications of Population Projection Matrices 73The Dall's Mountain Sheep: A Static Life Table 73Palo de Mayo: A Dynamic Life Table 74Population Viability Analysis 76Demography of Invasive and Native Plant Populations 78FOUR A Closer Look at the "Dynamics" in Population Dynamics 81Intuitive Ideas of Equilibrium and Stability 83Eigenvalues: A Key Concept in Dynamic Analysis 92Basic Concepts of Equilibrium and Stability in One-Dimensional Maps 97The One-Dimensional Map 98Stability and Equilibrium in the Logistic Map 106Basins of Attraction in the Logistic Map 108Structural Stability 110Bifurcation Diagrams 116Concluding Remarks 122FIVE Patterns and Dynamics in Space 126The Poisson Distribution 129Point Pattern Analysis and the Question of Scale 134Mechanisms of Spatial Pattern Formation: Principles of Reaction/Diffusion 137Mechanisms of Spatial Pattern Formation: Biological Causes 141Metapopulations 142Assumptions of Metapopulation Models 146The Rescue Effect and Propagule Rain 148Appendix: Data for Exercises 5.2, 5.3, and 5.4 150SIX Predator-Prey (Consumer-Resource) Interactions 152Predator-Prey Interactions: First Principles 153Density Dependence 158Functional Response 161Functional Response and Density Dependence Together 166Paradoxes in Applications of Predator-Prey Theory 168Predator-Prey Dynamics: A Graphical Approach 170Predator-Prey Interactions in Discrete Time 176SEVEN Disease Ecology 187Direct Disease Transmission 188Indirect Transmission 194EIGHT Competition 198Competition: First Principles 199Isocline Analysis of the Lotka-Volterra Competition Equations 203Niches and Competitive Coexistence and Exclusion 209The Competitive Production Principle: Applications of Competition Theory to Agriculture 211Resource Competition 212NINE Facilitation and Mutualism 225TEN What This Book Was About 239Glossary 243References 247Index 255 Return to Book DescriptionFile created: 4/21/2017 Questions and comments to: webmaster@press.princeton.eduPrinceton University Press