The Hitchhiker’s Guide to Adaptive Dynamics

Games

Åke Brännström¹  Jacob Johansson² 

[1] Department of Information and Computer Sciences, Nara Women’s University, Kita-Uoya Nishimachi, Nara 630-8506, Japan;Department of Biology, Theoretical Population Ecology and Evolution Group, Ecology Bldg., Lund University, 223 62 Lund, Sweden

关键词: adaptive dynamics;    evolutionary game theory;    pairwise invasibility plots;    evolutionarily stable strategy;    evolutionary branching;   

DOI  :  10.3390/g4030304

来源: mdpi

【 摘 要 】

Adaptive dynamics is a mathematical framework for studying evolution. It extends evolutionary game theory to account for more realistic ecological dynamics and it can incorporate both frequency- and density-dependent selection. This is a practical guide to adaptive dynamics that aims to illustrate how the methodology can be applied to the study of specific systems. The theory is presented in detail for a single, monomorphic, asexually reproducing population. We explain the necessary terminology to understand the basic arguments in models based on adaptive dynamics, including invasion fitness, the selection gradient, pairwise invasibility plots (PIP), evolutionarily singular strategies, and the canonical equation. The presentation is supported with a worked-out example of evolution of arrival times in migratory birds. We show how the adaptive dynamics methodology can be extended to study evolution in polymorphic populations using trait evolution plots (TEPs). We give an overview of literature that generalises adaptive dynamics techniques to other scenarios, such as sexual, diploid populations, and spatially-structured populations. We conclude by discussing how adaptive dynamics relates to evolutionary game theory and how adaptive-dynamics techniques can be used in speciation research.

【 授权许可】

CC BY   
© 2013 by the authors; licensee MDPI, Basel, Switzerland.