Open Access
2010 Limit theorems for discrete-time metapopulation models
F.M. Buckley, P.K. Pollett
Probab. Surveys 7: 53-83 (2010). DOI: 10.1214/10-PS158


We describe a class of one-dimensional chain binomial models of use in studying metapopulations (population networks). Limit theorems are established for time-inhomogeneous Markov chains that share the salient features of these models. We prove a law of large numbers, which can be used to identify an approximating deterministic trajectory, and a central limit theorem, which establishes that the scaled fluctuations about this trajectory have an approximating autoregressive structure.


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F.M. Buckley. P.K. Pollett. "Limit theorems for discrete-time metapopulation models." Probab. Surveys 7 53 - 83, 2010.


Published: 2010
First available in Project Euclid: 12 May 2010

zbMATH: 1194.60024
MathSciNet: MR2645217
Digital Object Identifier: 10.1214/10-PS158

Primary: 60J10 , 92B05
Secondary: 60J80

Rights: Copyright © 2010 The Institute of Mathematical Statistics and the Bernoulli Society

Vol.7 • 2010
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