Abstract
A process analogous to Kingman's coalescent is introduced to describe the genealogy of populations evolving according to the infinitelymany 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.
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Donnelly, P., Tavaré, S. The population genealogy of the infinitely-many neutral alleles model. J. Math. Biology 25, 381–391 (1987). https://doi.org/10.1007/BF00277163
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DOI: https://doi.org/10.1007/BF00277163