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The Hitchhiker's guide to adaptive dynamics

Brännström, Åke; Johansson, Jacob LU and von Festenberg, Niels (2013) In Games 4(3). p.304-328
Abstract

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... (More)

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. © 2013 by the author; licensee MDPI, Basel, Switzerland.

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Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
keywords
Adaptive dynamics, Evolutionarily stable strategy, Evolutionary branching, Evolutionary game theory, Pairwise invasibility plots
in
Games
volume
4
issue
3
pages
25 pages
publisher
MDPI Ag
external identifiers
  • Scopus:84893138152
ISSN
2073-4336
DOI
10.3390/g4030304
language
English
LU publication?
yes
id
ec17b831-2b3d-43cc-b140-c8aa07298dfc
date added to LUP
2016-06-16 16:48:26
date last changed
2016-10-13 05:10:12
@misc{ec17b831-2b3d-43cc-b140-c8aa07298dfc,
  abstract     = {<p>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. © 2013 by the author; licensee MDPI, Basel, Switzerland.</p>},
  author       = {Brännström, Åke and Johansson, Jacob and von Festenberg, Niels},
  issn         = {2073-4336},
  keyword      = {Adaptive dynamics,Evolutionarily stable strategy,Evolutionary branching,Evolutionary game theory,Pairwise invasibility plots},
  language     = {eng},
  number       = {3},
  pages        = {304--328},
  publisher    = {ARRAY(0x9b87828)},
  series       = {Games},
  title        = {The Hitchhiker's guide to adaptive dynamics},
  url          = {http://dx.doi.org/10.3390/g4030304},
  volume       = {4},
  year         = {2013},
}