Connecting deterministic and stochastic metapopulation models.
- Barbour AD Universität Zürich, Zurich, Switzerland. a.d.barbour@math.uzh.ch.
- McVinish R University of Queensland, Brisbane, Australia. r.mcvinish@uq.edu.au.
- Pollett PK University of Queensland, Brisbane, Australia. pkp@maths.uq.edu.au.
- 2015-03-05
Published in:
- Journal of mathematical biology. - 2015
Stochastic patch occupancy model (SPOM)
Vapnik–Chervonenkis theory
Animals
Ecosystem
Markov Chains
Mathematical Concepts
Models, Biological
Population Dynamics
Stochastic Processes
Time Factors
English
In this paper, we study the relationship between certain stochastic and deterministic versions of Hanski's incidence function model and the spatially realistic Levins model. We show that the stochastic version can be well approximated in a certain sense by the deterministic version when the number of habitat patches is large, provided that the presence or absence of individuals in a given patch is influenced by a large number of other patches. Explicit bounds on the deviation between the stochastic and deterministic models are given.
- Language
-
- English
- Open access status
- green
- Identifiers
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- DOI 10.1007/s00285-015-0865-4
- PMID 25735440
- Persistent URL
- https://sonar.ch/global/documents/298347
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