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Full Description
Ecological principles are explained while introducing students to some of the mathematical techniques used to develop ecological models. The book builds models beginning with first principles, and then gently makes each formulation accessible to students through a step-by-step development of equations paired with lavish illustrations. Theoretical developments are then applied to practical issues in conservation to provie a more visceral understanding of the purpose and utility of the theory, where it might need modification to fit the real world and future directions. The book's great advantage is in its visual presentation of conceptual issues.
Contents
PART I: POPULATION ECOLOGY ; 1. Exponential and Geometric Population Growth ; 2. Spatial, Temporal, and Individual Variation in Birth and Death Rates ; 3. Population Growth and Age Structure ; 4. Demographic Relationships ; 5. Density Dependent Population Growth ; 6. Population Regulation, Limiting Factors, and Temporal Variability ; 7. Life History Trade-offs ; 8. Reproductive Value and the Evolutionary Theory of Ageing ; 9. Density Dependent Selection on Life History Traits ; PART II: SPECIES INTERACTIONS AND COMMUNITY ECOLOGY ; 10. Predator-Prey Systems: The Dynamics of Exploited Prey ; 11. The Mechanics of Predation ; 12. Predator-Prey Systems: Predator Dynamics and Effects on Prey ; 13. Stability of Predator-Prey Systems: Analytical Methods ; 14. Competitors ; 15. Multi-species Dynamics ; 16. Space, Islands, and Metapopulations (with Mike Gilpin) ; PART III: APPENDICES ; Appendix 1: Preparation, Part 1: Visualizing Equations ; Preparation, Part 2: Terms and Methods of Model Building in Population Dynamics ; Appendix 2: Some Matrix Operations ; Appendix 3: Solving for Equilibrium Points in Dynamical Systems and Finding the Inverse of a Square Matrix ; Appendix 4: Some Useful Mathematical Identities ; Appendix 5: Some Stochastic Distributions and Their Properties
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