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) |
|---|---|
| Pages (from-to) | 943-965 |
| Number of pages | 23 |
| Journal | Journal of Mathematical Biology |
| Volume | 65 |
| Issue number | 5 |
| DOIs | |
| State | Published - Nov 2012 |
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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 journal › Article
}
TY - JOUR
T1 - Evolutionary stability of ideal free dispersal strategies in patchy environments
AU - Cantrell, Robert
AU - Cosner, George
AU - Lou, Yuan
PY - 2012/11
Y1 - 2012/11
N2 - 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.
AB - 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.
KW - Evolution of dispersal
KW - Evolutionary stability
KW - Ideal free distribution
KW - Neighborhood invader strategy
KW - Patchy environments
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UR - http://www.scopus.com/inward/citedby.url?scp=84865722795&partnerID=8YFLogxK
U2 - 10.1007/s00285-011-0486-5
DO - 10.1007/s00285-011-0486-5
M3 - Article
C2 - 22048260
AN - SCOPUS:84865722795
VL - 65
SP - 943
EP - 965
JO - Journal of Mathematical Biology
JF - Journal of Mathematical Biology
SN - 0303-6812
IS - 5
ER -