2002
DOI: 10.1098/rspb.2001.1936
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Evolution of density–and patch–size–dependent dispersal rates

Abstract: Based on a marginal value approach, we derive a nonlinear expression for evolutionarily stable (ES) dispersal rates in a metapopulation with global dispersal. For the general case of density-dependent population growth, our analysis shows that individual dispersal rates should decrease with patch capacity and-beyond a certain threshold-increase with population density. We performed a number of spatially explicit, individual-based simulation experiments to test these predictions and to explore further the relev… Show more

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Cited by 211 publications
(265 citation statements)
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References 76 publications
(118 reference statements)
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“…In this case, dispersing individuals profit not only from the chance to reach an empty habitat but also from the elevated chance to reach a patch with lower population density than their current patch. Thus, a positive correlation between ES dispersal rate and variance in population size is generally predicted (Poethke and Hovestadt 2002). In our simulations, variance in population size is also positively correlated with local extinction, either because externally caused catastrophes create such variance (environmental catastrophe scenario) or because this variance leads to random extinction events (fluctuating environment scenario).…”
Section: Discussionmentioning
confidence: 71%
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“…In this case, dispersing individuals profit not only from the chance to reach an empty habitat but also from the elevated chance to reach a patch with lower population density than their current patch. Thus, a positive correlation between ES dispersal rate and variance in population size is generally predicted (Poethke and Hovestadt 2002). In our simulations, variance in population size is also positively correlated with local extinction, either because externally caused catastrophes create such variance (environmental catastrophe scenario) or because this variance leads to random extinction events (fluctuating environment scenario).…”
Section: Discussionmentioning
confidence: 71%
“…The values for these alleles may change by mutation, thus allowing for the evolution of density-and patch-size-dependent dispersal strategies. To promote greater variability of genotypes in the first generations and to reduce the influence of mutations on the stability of the final result, we let mutation rates exponentially decrease from ∼0.1 to !0.001 over the course of the simulation experiments (10,000 generations; for details, see Poethke and Hovestadt 2002). For a broad range of parameters, we compared the results of this procedure with results generated by simulations with small constant mutation rates.…”
Section: The Modelmentioning
confidence: 99%
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