The population genealogy of the infinitely--many neutral alleles model.
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.
Donnelly
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Department of Statistical Science, University College, London, England.
Tavaré
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S
D000483:Alleles; D001699:Biometry; D005828:Genetics, Population; D008957:Models, Genetic