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List of Figures | |
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List of Tables | |
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Preface | |
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Elementary Population Dynamics | |
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Density Independence: The Exponential Equation | |
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Density Dependence | |
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The Logistic Equation | |
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The Yield-Density Relationship | |
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Density Dependence and Mortality: Thinning Laws | |
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Density Dependence in Discrete Time Models | |
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Projection Matrices: Structured Models | |
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Elementary Age-Structured Population Projection Matrices | |
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Non-Age Structure: Stage Projection Matrices | |
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Eigenvectors, Reproductive Value, Sensitivity, and Elasticity | |
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Density Dependence in Structured Populations | |
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Density Dependence in a Simple Age-Structured Model | |
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Density Dependence in Size-Distributed Populations | |
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Density Dependence in a Stage-Structured Model | |
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Appendix: Basic Matrix Manipulations | |
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Matrix Multiplication | |
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Matrix Addition and Subtraction | |
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The Identity Matrix | |
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The Determinant of a Matrix | |
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Applications of Simple Population Models | |
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Life History Analysis | |
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Investment in Survivorship versus Reproduction: The r-K Continuum | |
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The Cost of Reproduction | |
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Optimal Reproductive Schedules | |
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Applications of Population Projection Matrices | |
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The Dall's Mountain Sheep: A Static Life Table | |
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Palo de Mayo: A Dynamic Life Table | |
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Population Viability Analysis | |
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Demography of Invasive and Native Plant Populations | |
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A Closer Look at the "Dynamics" in Population Dynamics | |
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Intuitive Ideas of Equilibrium and Stability | |
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Eigenvalues: A Key Concept in Dynamic Analysis | |
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Basic Concepts of Equilibrium and Stability in One-Dimensional Maps | |
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The One-Dimensional Map | |
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Stability and Equilibrium in the Logistic Map | |
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Basins of Attraction in the Logistic Map | |
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Structural Stability | |
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Bifurcation Diagrams | |
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Concluding Remarks | |
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Patterns and Dynamics in Space | |
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The Poisson Distribution | |
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Point Pattern Analysis and the Question of Scale | |
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Mechanisms of Spatial Pattern Formation: Principles of Reaction/Diffusion | |
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Mechanisms of Spatial Pattern Formation: Biological Causes | |
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Metapopulations | |
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Assumptions of Metapopulation Models | |
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The Rescue Effect and Propagule Rain | |
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Appendix: Data for Exercises 5.2, 5.3, and 5.4 | |
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Predator-Prey (Consumer-Resource) Interactions | |
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Predator-Prey Interactions: First Principles | |
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Density Dependence | |
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Functional Response | |
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Functional Response and Density Dependence Together | |
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Paradoxes in Applications of Predator-Prey Theory | |
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Predator-Prey Dynamics: A Graphical Approach | |
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Predator-Prey Interactions in Discrete Time | |
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Disease Ecology | |
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Direct Disease Transmission | |
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Indirect Transmission | |
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Competition | |
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Competition: First Principles | |
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Isocline Analysis of the Lotka-Volterra Competition Equations | |
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Niches and Competitive Coexistence and Exclusion | |
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The Competitive Production Principle: Applications of Competition Theory to Agriculture | |
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Resource Competition | |
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Facilitation and Mutualism | |
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What This Book Was About | |
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Glossary | |
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References | |
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Index | |