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A NEW GENETIC POPULATION MODEL, AND ITS APPROACH TO HOMOZYGOSITY

A NEW GENETIC POPULATION MODEL, AND ITS APPROACH TO HOMOZYGOSITY Summary A simple genetic population is considered in which births occur in succession, but each birth entails the death of one parent. The asymptotic rate of approach to homozygosity for this population is shown to depend on the degree of positive assortative mating inherent in the mating system, and the rate decreases with increasing assortative mating, except for complete positive assortative mating, when the rate is very fast. The probabilities of the gene frequencies having specified values after many generations are found, and gene fixation will always occur except in a population practising complete positive assortative mating. The results for this model are compared with those obtained for other models studied by Wright and Moran, and it is found that the present model is very similar to Wright's model under random mating but, otherwise, substantial differences in behaviour may occur. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Annals of Human Genetics Wiley

A NEW GENETIC POPULATION MODEL, AND ITS APPROACH TO HOMOZYGOSITY

WATTERSON, G. A.
Annals of Human Genetics , Volume 23 (3) – Mar 1, 1959
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References (5)

Publisher
Wiley
Copyright
Copyright © 1959 Wiley Subscription Services, Inc., A Wiley Company
ISSN
0003-4800
eISSN
1469-1809
DOI
10.1111/j.1469-1809.1959.tb01465.x
Publisher site
See Article on Publisher Site

Abstract

Summary A simple genetic population is considered in which births occur in succession, but each birth entails the death of one parent. The asymptotic rate of approach to homozygosity for this population is shown to depend on the degree of positive assortative mating inherent in the mating system, and the rate decreases with increasing assortative mating, except for complete positive assortative mating, when the rate is very fast. The probabilities of the gene frequencies having specified values after many generations are found, and gene fixation will always occur except in a population practising complete positive assortative mating. The results for this model are compared with those obtained for other models studied by Wright and Moran, and it is found that the present model is very similar to Wright's model under random mating but, otherwise, substantial differences in behaviour may occur.

Journal

Annals of Human Genetics – Wiley

Published: Mar 1, 1959

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