Limits of large metapopulations with patch-dependent extinction probabilities

McVinish, R. and Pollett, P. K. (2010) Limits of large metapopulations with patch-dependent extinction probabilities. Advances in Applied Probability, 42 4: 1172-1186. doi:10.1239/aap/1293113156


Author McVinish, R.
Pollett, P. K.
Title Limits of large metapopulations with patch-dependent extinction probabilities
Journal name Advances in Applied Probability   Check publisher's open access policy
ISSN 0001-8678
1475-6064
Publication date 2010-12
Sub-type Article (original research)
DOI 10.1239/aap/1293113156
Volume 42
Issue 4
Start page 1172
End page 1186
Total pages 15
Place of publication Sheffield, S. Yorks., United Kingdom
Publisher Applied Probability Trust
Collection year 2011
Language eng
Abstract We propose a model for the presence/absence of a population in a collection of habitat patches. This model assumes that colonisation and extinction of the patches occur as distinct phases. Importantly, the local extinction probabilities are allowed to vary between patches. This permits an investigation of the effect of habitat degradation on the persistence of the population. The limiting behaviour of the model is examined as the number of habitat patches increases to∞. This is done in the case where the number of patches and the initial number of occupied patches increase at the same rate, and for the case where the initial number of occupied patches remains fixed. © Applied Probability Trust 2010.
Keyword Chain binomial model
Fixed point
Weak convergence
Point process
Q-Index Code C1
Q-Index Status Confirmed Code
Institutional Status UQ

Document type: Journal Article
Sub-type: Article (original research)
Collections: School of Mathematics and Physics
Official 2011 Collection
 
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Citation counts: TR Web of Science Citation Count  Cited 9 times in Thomson Reuters Web of Science Article | Citations
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Created: Sun, 20 Mar 2011, 00:13:38 EST