SELECTION FOR HETEROZYGOTES IN SMALL POPULATIONS

SELECTION FOR HETEROZYGOTES IN SMALL POPULATIONS Animal Genetics, Edinburgh, Scotland Received May 24, 1962 I N his mathematical analyses of evolutionary processes WRIGHT 193 1, 1937) ( has given particular attention to the interaction of population size with the factors of selection, mutation and migration. Here he introduced the powerful concept of the "gene frequency distribution" which may be thought of as referring either to similar loci in the same population or one locus in many populations. In the absence of mutation and migration, he showed that the gene frequency distribution assumes a constant form with all frequencies, except the two extremes, declining by a constant fraction each generation. In the absence of selection, the distribution becomes a rectangular one and intermediate frequencies decline by a fraction 1/2N each generation, where N is the effective population size. With both selection and mutation, he showed that an equilibrium distribution is reached in which the fixation of populations by chance is exactly balanced by those segregating anew because of mutation, and he derived a general formula for this distribution. With no selection the distribution takes the iorm + ( q ) + ( q (1 - q))"""-' where q is the gene frequency and U the http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Genetics Genetics Society of America

SELECTION FOR HETEROZYGOTES IN SMALL POPULATIONS

Genetics, Volume 47: 1291 – Sep 1, 1962

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Publisher
Genetics Society of America
Copyright
Copyright © 1962 by the Genetics Society of America
ISSN
0016-6731
eISSN
1943-2631
Publisher site
See Article on Publisher Site

Abstract

Animal Genetics, Edinburgh, Scotland Received May 24, 1962 I N his mathematical analyses of evolutionary processes WRIGHT 193 1, 1937) ( has given particular attention to the interaction of population size with the factors of selection, mutation and migration. Here he introduced the powerful concept of the "gene frequency distribution" which may be thought of as referring either to similar loci in the same population or one locus in many populations. In the absence of mutation and migration, he showed that the gene frequency distribution assumes a constant form with all frequencies, except the two extremes, declining by a constant fraction each generation. In the absence of selection, the distribution becomes a rectangular one and intermediate frequencies decline by a fraction 1/2N each generation, where N is the effective population size. With both selection and mutation, he showed that an equilibrium distribution is reached in which the fixation of populations by chance is exactly balanced by those segregating anew because of mutation, and he derived a general formula for this distribution. With no selection the distribution takes the iorm + ( q ) + ( q (1 - q))"""-' where q is the gene frequency and U the

Journal

GeneticsGenetics Society of America

Published: Sep 1, 1962

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