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Analysis of population structure: II. Two‐dimensional stepping sone models of finite length and other geographically structured populations *

Analysis of population structure: II. Two‐dimensional stepping sone models of finite length and... Britain Analysis of population structure 11. Two-dimensional stepping stone models of finite length and other geographically structured populations* BY TAKE0 MARUYAMA National Institute of Genetics, Mishivnu, Japan 1. INTRODUCTION AND MODELS Many human populations as well as other animal and plant populations are divided into colonies (villages).These colonies are usually distributed geographically on a plane, and the size of a colony may be small in the sense that the random drift may cause appreciable variation in the gene frequency among colonies. Usually these colonies constituting a population are not completely separated but there are some exchanges among them, and the closer two colonies are geographically the more exchanges there are. Therefore genetical similarity between colonies is a function of their distance and, of course, of the migration rate. Strictly speaking real population structure may be too complicated to be handled mathematically. However, the stepping stone model of a population structure proposed by Kimura (1953) is a mathematically tractable approximation to real situations. The population consists of colonies, each located at a gridpoint of 2-dimensional integer lattice. All colonies have equal and finite size ( N ) which does not vary in time. We use (i,j)to denote the position http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Annals of Human Genetics Wiley

Analysis of population structure: II. Two‐dimensional stepping sone models of finite length and other geographically structured populations *

MARUYAMA, TAKEO
Annals of Human Genetics , Volume 35 (2) – Oct 1, 1971
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References (16)

Publisher
Wiley
Copyright
Copyright © 1971 Wiley Subscription Services, Inc., A Wiley Company
ISSN
0003-4800
eISSN
1469-1809
DOI
10.1111/j.1469-1809.1956.tb01391.x
Publisher site
See Article on Publisher Site

Abstract

Britain Analysis of population structure 11. Two-dimensional stepping stone models of finite length and other geographically structured populations* BY TAKE0 MARUYAMA National Institute of Genetics, Mishivnu, Japan 1. INTRODUCTION AND MODELS Many human populations as well as other animal and plant populations are divided into colonies (villages).These colonies are usually distributed geographically on a plane, and the size of a colony may be small in the sense that the random drift may cause appreciable variation in the gene frequency among colonies. Usually these colonies constituting a population are not completely separated but there are some exchanges among them, and the closer two colonies are geographically the more exchanges there are. Therefore genetical similarity between colonies is a function of their distance and, of course, of the migration rate. Strictly speaking real population structure may be too complicated to be handled mathematically. However, the stepping stone model of a population structure proposed by Kimura (1953) is a mathematically tractable approximation to real situations. The population consists of colonies, each located at a gridpoint of 2-dimensional integer lattice. All colonies have equal and finite size ( N ) which does not vary in time. We use (i,j)to denote the position

Journal

Annals of Human Genetics – Wiley

Published: Oct 1, 1971

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