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https://hdl.handle.net/2440/65637
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Type: | Journal article |
Title: | On parameter estimation in population models |
Author: | Ross, J. Taimre, T. Pollett, P. |
Citation: | Theoretical Population Biology, 2006; 70(4):498-510 |
Publisher: | Academic Press Inc |
Issue Date: | 2006 |
ISSN: | 0040-5809 1096-0325 |
Statement of Responsibility: | J. V. Ross, T. Taimre and P. K. Pollett |
Abstract: | We describe methods for estimating the parameters of Markovian population processes in continuous time, thus increasing their utility in modelling real biological systems. A general approach, applicable to any finite-state continuous-time Markovian model, is presented, and this is specialised to a computationally more efficient method applicable to a class of models called density-dependent Markov population processes. We illustrate the versatility of both approaches by estimating the parameters of the stochastic SIS logistic model from simulated data. This model is also fitted to data from a population of Bay checkerspot butterfly (Euphydryas editha bayensis), allowing us to assess the viability of this population. |
Keywords: | Markov chains cross-entropy method density dependence Euphydryas editha bayensis Stochastic SIS logistic model |
Rights: | © 2006 Elsevier Inc. All rights reserved. |
DOI: | 10.1016/j.tpb.2006.08.001 |
Published version: | http://dx.doi.org/10.1016/j.tpb.2006.08.001 |
Appears in Collections: | Aurora harvest 5 Mathematical Sciences publications |
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