Evolutionary stability of ideal free dispersal strategies in patchy environments

Research output: Contribution to journalArticle

34 Citations (Scopus)

Abstract

A central question in the study of the evolution of dispersal is what kind of dispersal strategies are evolutionarily stable. Hastings (Theor Pop Biol 24:244-251, 1983) showed that among unconditional dispersal strategies in a spatially heterogeneous but temporally constant environment, the dispersal strategy with no movement is convergent stable. McPeek and Holt's (Am Nat 140:1010-1027, 1992) work suggested that among conditional dispersal strategies in a spatially heterogeneous but temporally constant environment, an ideal free dispersal strategy, which results in the ideal free distribution for a single species at equilibrium, is evolutionarily stable. We use continuous-time and discrete-space models to determine when the dispersal strategy with no movement is evolutionarily stable and when an ideal free dispersal strategy is evolutionarily stable, both in a spatially heterogeneous but temporally constant environment.

Original languageEnglish (US)
Pages (from-to)943-965
Number of pages23
JournalJournal of Mathematical Biology
Volume65
Issue number5
DOIs
StatePublished - Nov 2012

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Space Simulation
space and time
Strategy
Distribution-free
Continuous Time
Movement
Model

Keywords

  • Evolution of dispersal
  • Evolutionary stability
  • Ideal free distribution
  • Neighborhood invader strategy
  • Patchy environments

ASJC Scopus subject areas

  • Agricultural and Biological Sciences (miscellaneous)
  • Applied Mathematics
  • Modeling and Simulation

Cite this

Evolutionary stability of ideal free dispersal strategies in patchy environments. / Cantrell, Robert; Cosner, George; Lou, Yuan.

In: Journal of Mathematical Biology, Vol. 65, No. 5, 11.2012, p. 943-965.

Research output: Contribution to journalArticle

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