Parvinen, K. (2006)
Evolution of dispersal in a structured metapopulation model in discrete time
Bulletin of Mathematical Biology 68, 655-678
Available online


Abstract

In this article, we introduce a structured metapopulation model in discrete time with catastrophes and density-dependent local growth. We define the fitness of a rare mutant in an environment set by the resident, and present an efficient method to calculate fitness. With this fitness measure evolutionary analysis of this model becomes feasible. In this article we concentrate on the evolution of dispersal. We investigate the effect of catastrophes, dispersal cost, and local dynamics on the evolution of dispersal. We can prove that without catastrophes, if all population-dynamical attractors are fixed points, there will be selection for no dispersal. We also find a new mechanism for evolutionary branching: Even though local population sizes approach fixed points, catastrophes can cause enough temporal variability, so that evolutionary branching becomes possible.

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