Analysis of Evolutionary Processes: The Adaptive Dynamics Approach and Its Applications

Fabio Dercole; Sergio Rinaldi

Published by Princeton University Press 2008

Analysis of Evolutionary Processes

The Adaptive Dynamics Approach and Its Applications

Fabio Dercole and Sergio Rinaldi

Volume 3 in the series Princeton Series in Theoretical and Computational Biology

https://doi.org/10.1515/9781400828340

Overview
Contents

About this book

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.

After introducing the basics of evolutionary processes and classifying available modeling approaches, Dercole and Rinaldi give a detailed presentation of the derivation of the AD canonical equation, an ordinary differential equation that focuses on evolutionary processes driven by rare and small innovations. The authors then look at important features of evolutionary dynamics as viewed through the lens of AD. They present their discovery of the first chaotic evolutionary attractor, which calls into question the common view that coevolution produces exquisitely harmonious adaptations between species. And, opening up potential new lines of research by providing the first application of AD to economics, they show how AD can explain the emergence of technological variety.

Analysis of Evolutionary Processes will interest anyone looking for a self-contained treatment of AD for self-study or teaching, including graduate students and researchers in mathematical and theoretical biology, applied mathematics, and theoretical economics.

Author / Editor information

Fabio Dercole is assistant professor at Politecnico di Milano, in Milan, Italy. Sergio Rinaldi is professor of system theory at Politecnico di Milano and holds an appointment with the IIASA Evolution and Ecology Program. He is the coauthor of Positive Linear Systems: Theory and Applications and Modeling and Control of River Quality, among other volumes.

Reviews

Any scientist interested in evolutionary theory should become familiar with the techniques presented here, and there is currently no better source.---Peter A. Abrams, American Journal of Human Biology

"This is a major achievement—a self-contained 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 with an approach that is mathematically sound but not overwhelming."—Andrea Pugliese, University of Trento, Italy

"The first 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

Topics

Frontmatter Publicly Available Download PDF	i
Contents Publicly Available Download PDF	vii
Preface Requires Authentication Unlicensed Licensed Download PDF	xi
Chapter 1. Introduction to Evolutionary Processes Requires Authentication Unlicensed Licensed Download PDF	1
Chapter 2. Modeling Approaches Requires Authentication Unlicensed Licensed Download PDF	43
Chapter 3. The Canonical Equation of Adaptive Dynamics Requires Authentication Unlicensed Licensed Download PDF	74
Chapter 4. Evolutionary Branching and the Origin of Diversity Requires Authentication Unlicensed Licensed Download PDF	119
Chapter 5. Multiple Attractors and Cyclic Evolutionary Regimes Requires Authentication Unlicensed Licensed Download PDF	138
Chapter 6. Catastrophes of Evolutionary Regimes Requires Authentication Unlicensed Licensed Download PDF	153
Chapter 7. Branching-Extinction Evolutionary Cycles Requires Authentication Unlicensed Licensed Download PDF	172
Chapter 8. Demographic Bistability and Evolutionary Reversals Requires Authentication Unlicensed Licensed Download PDF	186
Chapter 9. Slow-Fast Populations Dynamics and Evolutionary Ridges Requires Authentication Unlicensed Licensed Download PDF	204
Chapter 10. The First Example of Evolutionary Chaos Requires Authentication Unlicensed Licensed Download PDF	231
Appendix A. Second-order Dynamical Systems and Their Bifurcations Requires Authentication Unlicensed Licensed Download PDF	243
Appendix B. The Invasion Implies Substitution Theorem Requires Authentication Unlicensed Licensed Download PDF	272
Appendix C. The Probability of Escaping Accidental Extinction Requires Authentication Unlicensed Licensed Download PDF	277
Appendix D. The Branching Conditions Requires Authentication Unlicensed Licensed Download PDF	281
Bibliography Requires Authentication Unlicensed Licensed Download PDF	287
Index Requires Authentication Unlicensed Licensed Download PDF	325

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