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Stepping stone models of finite length

Published online by Cambridge University Press:  01 July 2016

Takeo Maruyama
Takeo Maruyama*
Affiliation:
National Institute of Genetics, Mishima, Japan
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Abstract

The stepping stone model of population structure, of finite length, is analysed with special reference to the variance, and correlation coefficients of gene frequencies. Explicit formulas for these quantities are obtained. The model is also analysed for the genetic variability maintained in the population. In order to check the validity of the analytical results, several numerical computations were carried out using two different methods: iterations and Monte Carlo experiments. The values obtained by these numerical methods agree well with the theoretical values obtained by formulas derived analytically.

Information

Type
Research Article
Information
Advances in Applied Probability , Volume 2 , Issue 2 , Autumn 1970, pp. 229 - 258
Copyright
Copyright © Applied Probability Trust 1970 

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References

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