title: Evolution of dispersal under a fecundity-dispersal trade-off.
abstract: Resources invested in dispersal structures as well as time and energy spent during transfer may often decrease fecundity. Here we analyse an extended version of the Hamilton-May model of dispersal evolution, where we include a fecundity-dispersal trade-off and also mortality between competition and reproduction. With adaptive dynamics and critical function analysis we investigate the evolution of dispersal strategies and ask whether adaptive diversification is possible. We exclude evolutionary branching for concave trade-offs and show that for convex trade-offs diversification is promoted in a narrow parameter range. We provide theoretical evidence that dispersal strategies can monotonically decrease with increasing survival during dispersal. Moreover, we illustrate the existence of two alternative attracting dispersal strategies. The model exhibits fold bifurcation points where slight changes in survival can lead to evolutionary catastrophes.
authors.affiliation: Department of Mathematics and Statistics, University of Helsinki, P.O. Box 68, Helsinki 00014, Finland. Electronic address: helene.weigang@helsinki.fi.
authors.forename: Helene C
authors.initials: HC
authors.lastname: Weigang
authors.affiliation: Department of Mathematics and Statistics, University of Helsinki, P.O. Box 68, Helsinki 00014, Finland. Electronic address: eva.kisdi@helsinki.fi.
authors.forename: Éva
authors.initials: É
authors.lastname: Kisdi
mesh_terms: D063147:Animal Distribution / Q000502:physiology*; D000818:Animals; D005075:Biological Evolution; D005298:Fertility / Q000502:physiology*; D016019:Survival Analysis
keywords: Adaptive dynamics; Critical function analysis; Emigration; Evolutionary branching; Life history