Estimation in an island model using simulation.

H B Nath; R C Griffiths

doi:10.1006/tpbi.1996.0030

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Estimation in an island model using simulation.

H B Nath·R C Griffiths

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Abstract

Estimation for an island model where mutation maintains a k-allele neutral polymorphism at a single locus on each island is considered. The likelihood of an observed sample type configuration is obtained by applying a computational algorithm analogous to Griffiths and Tavaré (Theor. Popul. Biol. 46 (1994), 131-159). This allows the computation of sampling distributions in an island model and investigation of their properties. Given a sample type configuration, the maximum likelihood estimate of the migration parameter is obtained by simulating independently the likelihood at a grid of points and, also, using a surface simulation method. The latter method generates the whole likelihood trajectory in a single application of the simulation program. An estimate of variance of the estimate of the migration parameter is obtained using the likelihood trajectory. A comparison of the maximum likelihood estimates of the gene flow between subpopulations is made with those obtained by using Wright's FST statistic.

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Algorithms Data Interpretation, Statistical Emigration and Immigration Gene Frequency Gene Pool Geography Humans Likelihood Functions Markov Chains Models, Genetic Mutation Polymorphism, Genetic Reproducibility of Results Journal Article

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H B Nath, R C Griffiths. 1996. Estimation in an island model using simulation.. https://doi.org/10.1006/tpbi.1996.0030

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