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Journal Article

Moments for Sum of an Arbitrary Function of Gene Frequency along a Stochastic Path of Gene Frequency Change

Takeo Maruyama and Motoo Kimura
Proceedings of the National Academy of Sciences of the United States of America
Vol. 72, No. 4 (Apr., 1975), pp. 1602-1604
Stable URL: http://www.jstor.org/stable/64904
Page Count: 3

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Topics: Alleles, Gene frequency, Genetics, Genetic mutation, Boundary conditions, Heterozygotes
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Moments for Sum of an Arbitrary Function of Gene Frequency along a Stochastic Path of Gene Frequency Change
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Abstract

A diffusion model is developed to compute any moment of the sum of an arbitrary function of the gene frequency along sample paths between any two specified frequencies. This is used to calculate the mean age of a mutant of frequency x, including or excluding the possibility of its having been at value x = 1 during the process, and the total frequency of heterozygotes involving an allele since its origin.

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