The Expected Number of Heterozygous Sites in a Subdivided Population

Corresponding author: Thomas Nagylaki, Department of Ecology and Evolution, University of Chicago, 1101 E. 57th St., Chicago, IL 60637.

Communicating editor: M. SLATKIN

A simple, exact formula is derived for the expected number of heterozygous sites per individual at equilibrium in a subdivided population. The model of infinitely many neutral sites is posited; the linkage map is arbitrary. The monoecious, diploid population is subdivided into a finite number of panmictic colonies that exchange gametes. The backward migration matrix is arbitrary, but time independent and ergodic (i.e., irreducible and aperiodic). With suitable weighting, the expected number of heterozygous sites is 4N_eu, where N_e denotes the migration effective population number and u designates the total mutation rate per gene (or DNA sequence). For diploid migration, this formula is a good approximation if N_e 1.

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