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• W1963517294 abstract "Recurrence equations for the number of types and the frequency of each type in a random sample drawn from a finite population undergoing discrete, nonoverlapping generations and reproducing according to the Cannings exchangeable model are deduced under the assumption of a mutation scheme with infinitely many types. The case of overlapping generations in discrete time is also considered. The equations are developed for the Wright-Fisher model and the Moran model, and extended to the case of the limit coalescent with nonrecurrent mutation as the population size goes to ∞ and the mutation rate to 0. Computations of the total variation distance for the distribution of the number of types in the sample suggest that the exact Moran model provides a better approximation for the sampling formula under the exact Wright-Fisher model than the Ewens sampling formula in the limit of the Kingman coalescent with nonrecurrent mutation. On the other hand, this model seems to provide a good approximation for a Λ-coalescent with nonrecurrent mutation as long as the probability of multiple mergers and the mutation rate are small enough." @default.
• W1963517294 created "2016-06-24" @default.
• W1963517294 creator A5070041951 @default.
• W1963517294 date "2010-09-01" @default.
• W1963517294 modified "2023-10-16" @default.
• W1963517294 title "Recurrence Equations for the Probability Distribution of Sample Configurations in Exact Population Genetics Models" @default.
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• W1963517294 doi "https://doi.org/10.1239/jap/1285335406" @default.
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