The Relation Between Distant Individuals in Geographically Structured Populations.

摘要

The equilibrium structure of a population distributed continuously and homogeneously in an infinite habitat is investigated. The analysis is confined to a single locus in the absence of selection, and every mutant is assumed to be new to the population. Asymptotic expressions are derived for the probability that two homologous gives separated by a given distance are the same allele for a migration function which decays at least exponentially in three dimensions and for one with an infinite variance in one dimension.