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 fre-
quencies 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 one-
dimensional 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).
Description
Distribution of gene frequencies in a geographical... [Ann Hum Genet. 1972] - PubMed result
%0 Journal Article
%1 Maruyama:1972:Ann-Hum-Genet:5073689
%A Maruyama, T
%D 1972
%J Ann Hum Genet
%K deleterious_alleles recessive_alleles spatial_structure stepping_stone_models
%N 4
%P 425-432
%R 10.1111/j.1469-1809.1957.tb01867.x
%T Distribution of gene frequencies in a geographically structured population. II. Distribution of deleterious genes and of lethal genes
%U http://onlinelibrary.wiley.com/doi/10.1111/j.1469-1809.1957.tb01867.x/abstract
%V 35
%X 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 fre-
quencies 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 one-
dimensional 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).
@article{Maruyama:1972:Ann-Hum-Genet:5073689,
abstract = { 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 fre-
quencies 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 one-
dimensional 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).
},
added-at = {2010-09-02T03:54:37.000+0200},
author = {Maruyama, T},
biburl = {https://www.bibsonomy.org/bibtex/201a4321b6a21b761d9318e344534d43b/peter.ralph},
description = {Distribution of gene frequencies in a geographical... [Ann Hum Genet. 1972] - PubMed result},
doi = {10.1111/j.1469-1809.1957.tb01867.x},
interhash = {989668ffa184fa51b8ad25b4926adacd},
intrahash = {01a4321b6a21b761d9318e344534d43b},
journal = {Ann Hum Genet},
keywords = {deleterious_alleles recessive_alleles spatial_structure stepping_stone_models},
month = apr,
number = 4,
pages = {425-432},
pmid = {5073689},
timestamp = {2010-09-02T03:54:38.000+0200},
title = {Distribution of gene frequencies in a geographically structured population. {II.} {Distribution} of deleterious genes and of lethal genes},
url = {http://onlinelibrary.wiley.com/doi/10.1111/j.1469-1809.1957.tb01867.x/abstract},
volume = 35,
year = 1972
}