The effective size of a metapopulation living in a heterogeneous patch network

The American Naturalist
Otso Ovaskainen

Abstract

I analyze stochastic patch occupancy models (SPOMs), which record habitat patches as empty or occupied. A problem with SPOMs has been that if the spatial structure of a heterogeneous habitat patch network is taken into account, the computational effort needed to analyze a SPOM grows as a power of 2n, where n is the number of habitat patches. I propose a computationally feasible approximation method, which approximates the behavior of a heterogeneous SPOM by an "ideal" metapopulation inhabiting a network of identical and equally connected habitat patches. The transformation to the ideal metapopulation is based on weighting the individual patch occupancies by the dynamic values of the habitat patches, which may be calculated from the deterministic mean-field approximation of the original SPOM. Conceptually, the method resembles the calculation of the effective size of a population in the context of population genetics. I demonstrate how the method may be applied to SPOMs with flexible structural assumptions and with spatially correlated and temporally varying parameter values. I apply the method to a real habitat patch network inhabited by the Glanville fritillary butterfly, illustrating that the metapopulation dynamics of this s...Continue Reading

References

Apr 28, 2000·Nature·I Hanski, O Ovaskainen
Oct 26, 2000·Trends in Ecology & Evolution·P LundbergV Kaitala
Feb 24, 2001·Philosophical Transactions of the Royal Society of London. Series B, Biological Sciences·J R Pannell, B Charlesworth
Mar 7, 2002·Theoretical Population Biology·O Ovaskainen, I Hanski
Sep 22, 2007·Bulletin of Mathematical Biology·C M Hernández-SuárezJ X Velasco-Hernández
Aug 19, 2008·The American Naturalist·C C VosC J Ter Braak
Aug 19, 2008·The American Naturalist·Karin Frank, Christian Wissel
Sep 25, 2008·The American Naturalist·A MoilanenI Hanski

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Citations

Aug 23, 2006·Genetica·Mats E Pettersson, Otto G Berg
Jun 14, 2003·Theoretical Population Biology·Ilkka Hanski, Otso Ovaskainen
Nov 25, 2003·Theoretical Population Biology·Otso Ovaskainen, Ilkka Hanski
Apr 9, 2004·The Journals of Gerontology. Series A, Biological Sciences and Medical Sciences·Justin M J Travis
Aug 15, 2003·Sexually Transmitted Diseases·Otso T Ovaskainen, Bryan T Grenfell
Sep 30, 2005·Proceedings. Biological Sciences·James T Cronin, John D Reeve
Jun 7, 2005·The American Naturalist·Atte Moilanen
Jan 27, 2011·Ecological Applications : a Publication of the Ecological Society of America·D Andrew R Drake, Nicholas E Mandrak
Aug 24, 2006·Ecology Letters·Emily NicholsonHugh P Possingham
Mar 1, 2015·Bioinformatics·Daniel Money, Simon Whelan
Apr 14, 2017·Scientific Reports·Kim JensenJules Silverman
Nov 14, 2013·Ecology and Evolution·John M Drake, Blaine D Griffen
Mar 5, 2011·Ecology Letters·Michael A McCarthyHugh P Possingham
Dec 14, 2011·Biometrics·Christian H Weiss, Philip K Pollett

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