The distribution of the coalescence time and the number of pairwise nucleotide differences in the "isolation with migration" model

Theor Popul Biol. 2008 Mar;73(2):277-88. doi: 10.1016/j.tpb.2007.11.001. Epub 2007 Nov 23.


This paper is concerned with the "isolation with migration" model, where a panmictic ancestral population gave rise to a symmetric n-island model, time tau ago. Explicit analytical expressions are derived for the probability density function of the coalescence time of a pair of genes sampled at random from the same subpopulation or from different subpopulations, and for the probability distribution of the number of pairwise nucleotide differences.

MeSH terms

  • Animal Migration*
  • Animals
  • Genetics, Population / statistics & numerical data*
  • Models, Genetic*
  • Models, Statistical*
  • Population Density
  • Population Dynamics