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Distribution of gene frequencies in a geographically structured population: II.Distribution of deleterious genes and of lethal genes *

Distribution of gene frequencies in a geographically structured population: II.Distribution of... 11. Distribution of deleterious genes and of lethal genes* BY TAKE0 MARUYAMA National Institute of Genetics, Mishima, Japan INTRODUCTION I n my previous paper, I dealt with the neutral and nearly neutral genes in a geographically structured population and obtained approximation formulae for the distribution of gene frequencies in the entire population and in a local population (Maruyama, 1972). I n this paper I will discuss the fate of the deleterious genes which arise in geographicallystructured populations. As in the previous paper, I will use two models of population structure : the stepping-stone model and the continuous model. I n Q 2 of this paper the assumption is made that a colony of a onedimensional population exchanges its members with each of its two neighbouring colonies at the rate ijm and a colony of a two-dimensional population exchanges its members with each of its four neighbouring colonies at the rate &m,and that the migration in a continuous population is isotropical and the variance of the migration distance is &'. These assumptions are not essential but made for simplicity. For further details of the models, see Maruyama (1970, 1971). DELETERIOUS GENES Assume that a mutant gene a has arisen http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Annals of Human Genetics Wiley

Distribution of gene frequencies in a geographically structured population: II.Distribution of deleterious genes and of lethal genes *

MARUYAMA, TAKEO
Annals of Human Genetics , Volume 35 (4) – Apr 1, 1972
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References (7)

Publisher
Wiley
Copyright
Copyright © 1972 Wiley Subscription Services, Inc., A Wiley Company
ISSN
0003-4800
eISSN
1469-1809
DOI
10.1111/j.1469-1809.1957.tb01867.x
Publisher site
See Article on Publisher Site

Abstract

11. Distribution of deleterious genes and of lethal genes* BY TAKE0 MARUYAMA National Institute of Genetics, Mishima, Japan INTRODUCTION I n my previous paper, I dealt with the neutral and nearly neutral genes in a geographically structured population and obtained approximation formulae for the distribution of gene frequencies in the entire population and in a local population (Maruyama, 1972). I n this paper I will discuss the fate of the deleterious genes which arise in geographicallystructured populations. As in the previous paper, I will use two models of population structure : the stepping-stone model and the continuous model. I n Q 2 of this paper the assumption is made that a colony of a onedimensional population exchanges its members with each of its two neighbouring colonies at the rate ijm and a colony of a two-dimensional population exchanges its members with each of its four neighbouring colonies at the rate &m,and that the migration in a continuous population is isotropical and the variance of the migration distance is &'. These assumptions are not essential but made for simplicity. For further details of the models, see Maruyama (1970, 1971). DELETERIOUS GENES Assume that a mutant gene a has arisen

Journal

Annals of Human Genetics – Wiley

Published: Apr 1, 1972

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