Heterozygosity and relationship in regularly subdivided populations.

Abstract The problems about regularly subdivided populations (with either finite or infinite number of subdivisions) may be unified by using Fourier or Laplace transforms. It is shown that some general theorems give (in unidimensional and in bidimensional cases) approximate values of: 1. 1. the rate of decrease of heterozygosity when there are no mutations. 2. 2. the rate of decrease of kinship as a function of distance, in the asymptotic stationary situation, when there are mutations towards an allele already existing or towards a new allele. When σ 2 , variance of migration in some direction, is sufficiently large with respect to number of subdivisions, it is shown that the population behaves as a wholly panmictic one.

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