Metapopulation moments: coupling, stochasticity and persistence

The Journal of Animal Ecology
M J Keeling

Abstract

1. Spatial heterogeneity has long been viewed as a reliable means of increasing persistence. Here, an analytical model is developed to consider the variation and, hence, the persistence of stochastic metapopulations. This model relies on a novel moment closure technique, which is equivalent to assuming log-normal distributions for the population sizes. 2. Single-species models show the greatest persistence when the mixing between subpopulations is large, so spatial heterogeneity is of no benefit. This result is confirmed by stochastic simulation of the full metapopulation. 3. In contrast, natural-enemy models exhibit the greatest persistence for intermediate levels of coupling. When the coupling is too low, there are insufficient rescue effects between the subpopulations to sustain the dynamics, whereas when the coupling is too high all spatial heterogeneity is lost. 4. The difference in behaviour between the one- and two-species models can be attributed to the oscillatory nature of the natural-enemy system.

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Citations

Mar 12, 2002·Proceedings. Biological Sciences·Matt J Keeling, Bryan T Grenfell
Mar 18, 2000·Proceedings. Biological Sciences·M Keeling
Dec 30, 2014·Proceedings. Biological Sciences·David LamourouxStephan Eule
Jan 15, 2013·Mathematical Biosciences and Engineering : MBE·Sukhitha W Vidurupola, Linda J S Allen
Nov 10, 2013·PLoS Computational Biology·José Lourenço, Mario Recker
Aug 31, 2018·Proceedings. Biological Sciences·Christina P TadiriGregor F Fussmann
Jan 27, 2019·Journal of Biological Dynamics·Evan Milliken
Nov 5, 2019·Scientific Reports·Gilberto M Nakamura, Alexandre S Martinez
Nov 1, 2008·Journal of the Royal Society, Interface·C E DangerfieldM J Keeling
Nov 6, 2010·Ecological Applications : a Publication of the Ecological Society of America·Emily S AlmbergDouglas W Smith
Apr 20, 2014·BMC Public Health·Shannon Collinson, Jane M Heffernan
Apr 14, 2017·Royal Society Open Science·Alberto AletaYamir Moreno
Feb 14, 2014·Proceedings. Biological Sciences·Anders ErikssonAndrea Manica
Sep 8, 2015·The Journal of Chemical Physics·Eszter LakatosMichael P H Stumpf
Apr 8, 2020·Royal Society Open Science·Gilberto M NakamuraAlexandre S Martinez
Oct 10, 2006·Bulletin of Mathematical Biology·Maia Martcheva, Benjamin M Bolker
Dec 20, 2020·Theoretical Population Biology·Ailene MacPhersonSarah P Otto
Feb 2, 2021·EClinicalMedicine·Philip BittihnRamin Golestanian
Jan 7, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Glenn MarionJunli Liu
Sep 10, 2013·Journal of Theoretical Biology·Chiara PolettoVittoria Colizza
Mar 24, 2021·Journal of Theoretical Biology·Russell Milne, Frederic Guichard
Jun 14, 2003·Theoretical Population Biology·Ilkka Hanski, Otso Ovaskainen
Aug 24, 2021·Behavioral Ecology and Sociobiology·Matthew J Silk, Nina H Fefferman
Jul 20, 2011·Theoretical Population Biology·Kjell Hausken, John F Moxnes

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