Estimation in an island model using simulation

Theor Popul Biol. 1996 Dec;50(3):227-53. doi: 10.1006/tpbi.1996.0030.


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.

MeSH terms

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