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A process analogous to Kingman's coalescent is introduced to describe the genealogy of populations evolving according to the infinitely- many neutral alleles model. The process records population frequencies in old and new classes, and labels the new classes in order of decreasing age. Its marginal distribution is characterized in a form which is amenable to explicit calculations and the transition densities of the associated K-allele models follow readily from this representation.

Type

Journal article

Journal

J Math Biol

Publication Date

1987

Volume

25

Pages

381 - 391

Keywords

Alleles, Biometry, Genetics, Population, Models, Genetic