Evolutionary suicide and evolution of dispersal in structured metapopulations
type: Item
instance of: scholarly article
title: Evolutionary suicide and evolution of dispersal in structured metapopulations
zbMATH Open document ID: 1014.92025
author: Mats Gyllenberg
author: K. Parvinen
author: Ulf Dieckmann
published in: Journal of Mathematical Biology
publication date: 2003-05-04T00:00:00Z
full work available at URL: IR-00-056.pdf
review text: We study the evolution of dispersal in a structured metapopulation model. The metapopulation consists of a large (infinite) number of local populations living in patches of habitable environment. Dispersal between patches is modelled by a disperser pool and individuals in transit between patches are exposed to a risk of mortality. Occasionally, local catastrophes eradicate a local population: all individuals in the affected patch die, yet the patch remains habitable. We prove that, in the absence of catastrophes, the strategy not to migrate is evolutionarily stable. Under a given set of environmental conditions, a metapopulation may be viable and yet selection may favor dispersal rates that drive the metapopulation to extinction. This phenomenon is known as evolutionary suicide. We show that in our model evolutionary suicide can occur for catastrophe rates that increase with decreasing local population size. Evolutionary suicide can also happen for constant catastrophe rates, if local growth within patches shows an Allee effect. We study the evolutionary bifurcation towards evolutionary suicide and show that a discontinuous transition to extinction is a necessary condition for evolutionary suicide to occur. In other words, if population size smoothly approaches zero at a boundary of viability in parameter space, this boundary is evolutionarily repelling and no suicide can occur.
Mathematics Subject Classification ID: 92D15
Mathematics Subject Classification ID: 37N25
zbMATH DE Number: 1903815
zbMATH Keywords: resident dynamics
zbMATH Keywords: resident equilibria
zbMATH Keywords: basic reproduction ratio
zbMATH Keywords: invasion fitness
zbMATH Keywords: evolutionary stable strategy
zbMATH Keywords: ESS
Wikidata QID: Q42039801
MaRDI profile type: Publication
OpenAlex ID: W2050591985
DOI: 10.1007/S002850200151
description: scientific article; zbMATH DE number 1903815