A formula for the mean lifetime of metapopulations in heterogeneous landscapes

The American Naturalist
Karin Frank, Christian Wissel

Abstract

We present a formula for the mean lifetime of metapopulations in heterogeneous landscapes. This formula provides new insights into the effect of the spatial structure of habitat networks on metapopulation survival, with consequences for modeling, landscape evaluation, and metapopulation management. In the whole study, the spatially realistic metapopulation model of Frank and Wissel is taken as a basis. First, as a key result on the way toward the desired formula, it is shown that a simple nonspatial (Levins-type) model is able to reproduce the behavior of the complex spatial model considered regarding the mean lifetime, provided its parameters appropriately summarize all the relevant details of spatial heterogeneity. Second, the formula presented reveals how data from species and landscape have to be combined to estimate the survival chance of a metapopulation without having to run any simulation or to solve numerically any model equation. Third, by taking the formula as a basis, landscape measures are derived that allow dissimilar habitat networks to be evaluated, compared, and ranked in terms of their effect on metapopulation survival. Fourth, a combination of analytical, nonlinear regression as well as aggregation techniques...Continue Reading

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Citations

Jun 14, 2003·Theoretical Population Biology·Ilkka Hanski, Otso Ovaskainen
Feb 19, 2010·Proceedings. Biological Sciences·Martin Drechsler, Karin Johst
Aug 19, 2008·The American Naturalist·Otso Ovaskainen
Apr 22, 2010·Ecological Applications : a Publication of the Ecological Society of America·Samuel C Nicol, Hugh P Possingham
Jan 23, 2009·Mathematical Biosciences·Martin Drechsler
Jan 24, 2007·Journal of Theoretical Biology·Simone K HeinzKarin Frank
Feb 6, 2007·Theoretical Population Biology·Séverine VuilleumierHugh P Possingham
Jul 3, 2003·Evolution; International Journal of Organic Evolution·John R Pannell
Aug 24, 2006·Ecology Letters·Emily NicholsonHugh P Possingham
Mar 5, 2011·Ecology Letters·Michael A McCarthyHugh P Possingham
Nov 14, 2013·Ecology and Evolution·John M Drake, Blaine D Griffen
Nov 9, 2004·Journal of Theoretical Biology·Hiroshi Hakoyama, Yoh Iwasa
Oct 4, 2005·Journal of Theoretical Biology·Dashun XuRobert K Swihart
Jun 8, 2011·Environmental Pollution·Thomas BanitzKarin Johst
May 8, 2007·Ecological Applications : a Publication of the Ecological Society of America·Emily Nicholson, Hugh P Possingham
May 4, 2018·Ecological Applications : a Publication of the Ecological Society of America·Matthew Strimas-Mackey, Jedediah F Brodie
May 12, 2020·Conservation Biology : the Journal of the Society for Conservation Biology·Christopher D HallamEmily Nicholson
Jun 15, 2017·Ecology Letters·Jessica Zamborain-MasonSean R Connolly
Nov 22, 2016·Ecology·Alexander Singer, Karin Frank

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