"The first timely comprehensive textbook on the methods and applications of adaptive dynamics, Analysis of Evolutionary Processes is very timely indeed. It will be of great interest not only to researchers already using AD but also to those who want to apply it but are not yet familiar with the methods. Dercole and Rinaldi's book is well written, self-contained, and suitable for self-study and teaching in applied mathematics and mathematical biology on the graduate and advanced undergraduate levels. "
Stefan A.H. Geritz, University of Helsinki, Finland

"This is a major achievement - a selfcontained presentation of the adaptive dynamics approach, of its role within evolutionary theory, and of the kind of evolutionary dynamics that can be predicted. I believe it will become a standard text for researchers and students in evolutionary dynamics. To my knowledge there is no other book that presents the theory of AD, places it in a proper biological context, and develops it within an approach that is mathematically sound but not overwhelming."
Andrea Pugliese, University of Trento, Italy

From the Back Cover
Quantitative approaches to evolutionary biology traditionally consider evolutionary change in isolation from an important pressure in natural selection: the demography of coevolving populations. In Analysis of Evolutionary Processes, Fabio Dercole and Sergio Rinaldi have written the first comprehensive book on Adaptive Dynamics (AD), a quantitative modeling approach that explicitly links evolutionary changes to demographic ones. The book shows how the so-called AD canonical equation can answer questions of paramount interest in biology, engineering, and the social sciences, especially economics.

Table of Contents
Chapter 1 - Introduction to Evolutionary Processes
Chapter 2 - Modeling Approaches
Chapter 3 - The Canonical Equation of Adaptive Dynamics
Chapter 4 - Evolutionary Branching and the Origin of Diversity
Chapter 5 - Multiple Attractors and Cyclic Evolutionary Regimes
Chapter 6 - Catastrophes of Evolutionary Regimes
Chapter 7 - Branching-Extinction Evolutionary Cycles
Chapter 8 - Demographic Bistability and Evolutionary Reversals
Chapter 9 - Slow-Fast Populations Dynamics and Evolutionary Ridges
Chapter 10 - The First Example of Evolutionary Chaos
Appendix A. - Second-order Dynamical Systems and Their Bifurcations
Appendix B. - The Invasion Implies Substitution Theorem
Appendix C. - The Probability of Escaping Accidental Extinction
Appendix D. - The Branching Conditions