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 language | English (US) |
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Pages (from-to) | 943-965 |
Number of pages | 23 |
Journal | Journal of Mathematical Biology |
Volume | 65 |
Issue number | 5 |
DOIs | |
State | Published - Nov 2012 |
Keywords
- Evolution of dispersal
- Evolutionary stability
- Ideal free distribution
- Neighborhood invader strategy
- Patchy environments
ASJC Scopus subject areas
- Modeling and Simulation
- Agricultural and Biological Sciences (miscellaneous)
- Applied Mathematics