Evolution of density-and patch-size-dependent dispersal rates
Authored by Hans Joachim Poethke, Thomas Hovestadt
Date Published: 2002
DOI: 10.1098/rspb.2001.1936
Sponsors:
German Research Foundation (Deutsche Forschungsgemeinschaft, DFG)
Bundesministerium für Bildung und Forschung
Platforms:
No platforms listed
Model Documentation:
Other Narrative
Mathematical description
Model Code URLs:
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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 relevance of variation in the rate of population
increase, density dependence, environmental fluctuations and dispersal
mortality on the evolution of dispersal rates. They confirm the
predictions of our analytical approach. In addition, they show that
dispersal rates in metapopulations mostly depend on dispersal mortality
and inter-patch variation in population density. The latter is
dominantly driven by environmental fluctuations and the rate of
population increase. These conclusions are not altered by the
introduction of neighbourhood dispersal. With patch capacities in the
order of 100 individuals, kin competition seems to be of negligible
importance for ES dispersal rates except when overall dispersal rates
are low.
Tags
Migration
Dynamics
population
habitat
Spatial structure
Strategies
Extinction
Metapopulation models
Environmental correlation
Equilibrium stability