How Levins’ dynamics emerges from a Ricker metapopulation model

Handle URI:
http://hdl.handle.net/10754/622205
Title:
How Levins’ dynamics emerges from a Ricker metapopulation model
Authors:
Elías-Wolff, F.; Eriksson, Anders ( 0000-0003-3436-3726 ) ; Manica, A.; Mehlig, B.
Abstract:
Understanding the dynamics of metapopulations close to extinction is of vital importance for management. Levins-like models, in which local patches are treated as either occupied or empty, have been used extensively to explore the extinction dynamics of metapopulations, but they ignore the important role of local population dynamics. In this paper, we consider a stochastic metapopulation model where local populations follow a stochastic, density-dependent dynamics (the Ricker model), and use this framework to investigate the behaviour of the metapopulation on the brink of extinction. We determine under which circumstances the metapopulation follows a time evolution consistent with Levins’ dynamics. We derive analytical expressions for the colonisation and extinction rates (c and e) in Levins-type models in terms of reproduction, survival and dispersal parameters of the local populations, providing an avenue to parameterising Levins-like models from the type of information on local demography that is available for a number of species. To facilitate applying our results, we provide a numerical algorithm for computing c and e.
KAUST Department:
Integrative Systems Biology Lab
Citation:
Elías-Wolff F, Eriksson A, Manica A, Mehlig B (2015) How Levins’ dynamics emerges from a Ricker metapopulation model. Theoretical Ecology 9: 173–183. Available: http://dx.doi.org/10.1007/s12080-015-0271-y.
Publisher:
Springer Science + Business Media
Journal:
Theoretical Ecology
Issue Date:
24-Sep-2015
DOI:
10.1007/s12080-015-0271-y
Type:
Article
ISSN:
1874-1738; 1874-1746
Sponsors:
Financial support by Vetenskapsradet, by the Goran Gustafsson Foundation for Research in Natural Sciences and Medicine, and by CeMEB are gratefully acknowledged. FEW wishes to thank the Centro Internacional de Ciencias in Cuernavaca for its hospitality during an extended stay.
Appears in Collections:
Articles

Full metadata record

DC FieldValue Language
dc.contributor.authorElías-Wolff, F.en
dc.contributor.authorEriksson, Andersen
dc.contributor.authorManica, A.en
dc.contributor.authorMehlig, B.en
dc.date.accessioned2017-01-02T08:42:37Z-
dc.date.available2017-01-02T08:42:37Z-
dc.date.issued2015-09-24en
dc.identifier.citationElías-Wolff F, Eriksson A, Manica A, Mehlig B (2015) How Levins’ dynamics emerges from a Ricker metapopulation model. Theoretical Ecology 9: 173–183. Available: http://dx.doi.org/10.1007/s12080-015-0271-y.en
dc.identifier.issn1874-1738en
dc.identifier.issn1874-1746en
dc.identifier.doi10.1007/s12080-015-0271-yen
dc.identifier.urihttp://hdl.handle.net/10754/622205-
dc.description.abstractUnderstanding the dynamics of metapopulations close to extinction is of vital importance for management. Levins-like models, in which local patches are treated as either occupied or empty, have been used extensively to explore the extinction dynamics of metapopulations, but they ignore the important role of local population dynamics. In this paper, we consider a stochastic metapopulation model where local populations follow a stochastic, density-dependent dynamics (the Ricker model), and use this framework to investigate the behaviour of the metapopulation on the brink of extinction. We determine under which circumstances the metapopulation follows a time evolution consistent with Levins’ dynamics. We derive analytical expressions for the colonisation and extinction rates (c and e) in Levins-type models in terms of reproduction, survival and dispersal parameters of the local populations, providing an avenue to parameterising Levins-like models from the type of information on local demography that is available for a number of species. To facilitate applying our results, we provide a numerical algorithm for computing c and e.en
dc.description.sponsorshipFinancial support by Vetenskapsradet, by the Goran Gustafsson Foundation for Research in Natural Sciences and Medicine, and by CeMEB are gratefully acknowledged. FEW wishes to thank the Centro Internacional de Ciencias in Cuernavaca for its hospitality during an extended stay.en
dc.publisherSpringer Science + Business Mediaen
dc.subjectColonisationen
dc.subjectExtinctionen
dc.subjectLevins’ equationen
dc.subjectMetapopulationen
dc.subjectRicker modelen
dc.titleHow Levins’ dynamics emerges from a Ricker metapopulation modelen
dc.typeArticleen
dc.contributor.departmentIntegrative Systems Biology Laben
dc.identifier.journalTheoretical Ecologyen
dc.contributor.institutionDepartment of Physics, University of Gothenburg, Gothenburg, SE-41296, Swedenen
dc.contributor.institutionDepartment of Biochemistry and Biophysics, Stockholm University, Stockholm, SE-10691, Swedenen
dc.contributor.institutionDepartment of Zoology, University of Cambridge, Cambridge, CB2 3EJ, United Kingdomen
dc.contributor.institutionCentre for Evolutionary Marine Biology, University of Gothenburg, Gothenburg, Swedenen
kaust.authorEriksson, Andersen
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