Contents -- Preface -- Chapter 1. Introduction to Evolutionary Processes -- 1.1 Origins of Evolutionary Theory -- 1.2 Genotypes and Phenotypes -- 1.3 Mutations -- 1.4 Selection -- 1.5 Evolution -- 1.6 The Red Queen Hypothesis -- 1.7 The Emergence of Diversity -- 1.8 Evolutionary Extinction -- 1.9 Examples -- Chapter 2. Modeling Approaches -- 2.1 Overview -- 2.2 Population Genetics -- 2.3 Individual-based Evolutionary Models -- 2.4 Quantitative Genetics -- 2.5 Evolutionary Game Theory -- 2.6 Replicator Dynamics -- 2.7 Fitness Landscapes -- 2.8 Adaptive Dynamics -- 2.9 A Comparative Analysis -- Chapter 3. The Canonical Equation of Adaptive Dynamics -- 3.1 The Evolving Community -- 3.2 The Resident-Mutant Model -- 3.3 The Example of Resource-Consumer Communities -- 3.4 Does Invasion Imply Substitution? -- 3.5 The AD Canonical Equation -- 3.6 Evolutionary State Portraits -- 3.7 Evolutionary Branching -- 3.8 The Role of Bifurcation Analysis -- 3.9 What Should We Expect from the AD Canonical Equation -- Chapter 4. Evolutionary Branching and the Origin of Diversity -- 4.1 Introduction -- 4.2 A Market Model and Its AD Canonical Equation -- 4.3 A Simple Example of Technological Branching -- 4.4 Discussion and Conclusions -- Chapter 5. Multiple Attractors and Cyclic Evolutionary Regimes -- 5.1 Introduction -- 5.2 A Model of Resource-Consumer Coevolution -- 5.3 The Catalog of Evolutionary Scenarios -- 5.4 Discussion and Conclusions -- Chapter 6. Catastrophes of Evolutionary Regimes -- 6.1 Introduction -- 6.2 A Model for the Evolution of Cooperation -- 6.3 Catastrophic Disappearance of Evolutionary Attractors -- 6.4 Evolutionary Branching and the Origin of Cheaters -- 6.5 Discussion and Conclusions -- Chapter 7. Branching-Extinction Evolutionary Cycles -- 7.1 Introduction -- 7.2 A Model of Cannibalistic Demographic Interactions.

7.3 Coevolution of Dwarfs and Giants -- 7.4 The Branching-Extinction Evolutionary Cycle -- 7.5 Discussion and Conclusions -- Chapter 8. Demographic Bistability and Evolutionary Reversals -- 8.1 Introduction -- 8.2 Biological Background -- 8.3 Asymmetric Competition and the Occurrence of Evolutionary Reversals -- 8.4 Slow-Fast Approximation of the AD Canonical Equation -- 8.5 Discussion and Conclusions -- Chapter 9. Slow-Fast Populations Dynamics and Evolutionary Ridges -- 9.1 Introduction -- 9.2 Biological Background -- 9.3 The AD Canonical Equation for General Demographic Attractors -- 9.4 Evolutionary Sliding and Pseudo-equilibria -- 9.5 Results and Discussion -- 9.6 Concluding Remarks -- Chapter 10. The First Example of Evolutionary Chaos -- 10.1 Introduction -- 10.2 A Tritrophic Food Chain Model and Its AD Canonical Equation -- 10.3 The Chaotic Evolutionary Attractor -- 10.4 Feigenbaum Cascade of Period-doubling Bifurcations -- 10.5 Discussion and Conclusions -- Appendix A. Second-order Dynamical Systems and Their Bifurcations -- A.1 Dynamical Systems and State Portraits -- A.2 Structural Stability -- A.3 Bifurcations as Collisions -- A.4 Local Bifurcations -- A.5 Global Bifurcations -- A.6 Catastrophes, Hysteresis, and Cusp -- A.7 Extinction Bifurcations -- A.8 Numerical Methods and Software Packages -- Appendix B. The Invasion Implies Substitution Theorem -- Appendix C. The Probability of Escaping Accidental Extinction -- Appendix D. The Branching Conditions -- Bibliography -- Index -- A -- B -- C -- D -- E -- F -- G -- H -- I -- K -- L -- M -- N -- O -- P -- Q -- R -- S -- T -- U -- V -- W.