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. 2008 May;73(3):403-25.
doi: 10.1016/j.tpb.2007.12.009. Epub 2008 Jan 8.
The ideal free distribution: a review and synthesis of the game-theoretic perspective
[39]Vlastimil Krivan^ [40] 1 , [41]Ross Cressman, [42]Candace Schneider
Affiliations (BUTTON) Expand
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* ^1 Department of Theoretical Ecology, Biology Center, Academy of Sciences of
the Czech Republic, Czech Republic. vkrivan@seznam.cz
* PMID: 18282592
* DOI: [43]10.1016/j.tpb.2007.12.009
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Review
The ideal free distribution: a review and synthesis of the game-theoretic perspective
Vlastimil Krivan et al. Theor Popul Biol. 2008 May.
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. 2008 May;73(3):403-25.
doi: 10.1016/j.tpb.2007.12.009. Epub 2008 Jan 8.
Authors
[47]Vlastimil Krivan^ [48] 1 , [49]Ross Cressman, [50]Candace Schneider
Affiliation
* ^1 Department of Theoretical Ecology, Biology Center, Academy of Sciences of
the Czech Republic, Czech Republic. vkrivan@seznam.cz
* PMID: 18282592
* DOI: [51]10.1016/j.tpb.2007.12.009
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The Ideal Free Distribution (IFD), introduced by Fretwell and Lucas in [Fretwell,
D.S., Lucas, H.L., 1970. On territorial behavior and other factors influencing
habitat distribution in birds. Acta Biotheoretica 19, 16-32] to predict how a
single species will distribute itself among several patches, is often cited as an
example of an evolutionarily stable strategy (ESS). By defining the strategies
and payoffs for habitat selection, this article puts the IFD concept in a more
general game-theoretic setting of the "habitat selection game". Within this
game-theoretic framework, the article focuses on recent progress in the following
directions: (1) studying evolutionarily stable dispersal rates and corresponding
dispersal dynamics; (2) extending the concept when population numbers are not
fixed but undergo population dynamics; (3) generalizing the IFD to multiple
species. For a single species, the article briefly reviews existing results. It
also develops a new perspective for Parker's matching principle, showing that
this can be viewed as the IFD of the habitat selection game that models consumer
behavior in several resource patches and analyzing complications involved when
the model includes resource dynamics as well. For two species, the article first
demonstrates that the connection between IFD and ESS is now more delicate by
pointing out pitfalls that arise when applying several existing game-theoretic
approaches to these habitat selection games. However, by providing a new detailed
analysis of dispersal dynamics for predator-prey or competitive interactions in
two habitats, it also pinpoints one approach that shows much promise in this
general setting, the so-called "two-species ESS". The consequences of this
concept are shown to be related to recent studies of population dynamics combined
with individual dispersal and are explored for more species or more patches.
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