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Evolutionary stability of ideal free dispersal strategies in patchy environments

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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.

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Authors and Affiliations

  1. Department of Mathematics, University of Miami, Coral Gables, FL, 33124, USA

    Robert Stephen Cantrell & Chris Cosner

  2. Department of Mathematics, Ohio State University, Columbus, OH, 43210, USA

    Yuan Lou

Authors
  1. Robert Stephen Cantrell
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  2. Chris Cosner
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  3. Yuan Lou
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Correspondence to Yuan Lou.

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Cantrell, R.S., Cosner, C. & Lou, Y. Evolutionary stability of ideal free dispersal strategies in patchy environments. J. Math. Biol. 65, 943–965 (2012). https://doi.org/10.1007/s00285-011-0486-5

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  • DOI: https://doi.org/10.1007/s00285-011-0486-5

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