(Joint work with Fionnuala Buckley and Ross McVinish, University of Queensland)
Abstract: I will describe a class of chain-binomial models of use in studying metapopulations (population networks). Limit theorems will be presented for time-inhomogeneous Markov chains that share the salient features of these models: 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. Recent work on metapopulations with patch-dependent extinction probabilities will be discussed.
Acknowledgement: This work is supported by the ARC Centre of Excellence for Mathematics and Statistics of Complex Systems
Last modified: 1st May 2011