Genetical Research

Short Papers

A model of mutation appropriate to estimate the number of electrophoretically detectable alleles in a finite population*

Tomoko Ohtaa1 and Motoo Kimuraa1

a1 National Institute of Genetics, Mishima, Japan

Abstract

A new model of mutational production of alleles was proposed which may be appropriate to estimate the number of electrophoretically detectable alleles maintained in a finite population. The model assumes that the entire allelic states are expressed by integers (…, A−1, A0, A1, …) and that if an allele changes state by mutation the change occurs in such a way that it moves either one step in the positive direction or one step in the negative direction (see also Fig. 1). It was shown that for this model the ‘effective’ number of selectively neutral alleles maintained in a population of the effective size Ne under mutation rate υ per generation is given by

S0016672300012994_eqnU1

When 4Neυ is small, this differs little from the conventional formula by Kimura & Crow, i.e. ne = 1 + 4Neυ, but it gives a much smaller estimate than this when 4Neυ is large.

(Received February 20 1973)

Footnotes

* Contribution no. 922 from the National Institute of Genetics, Mishima, Shizuoka-ken, 411, Japan.

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