The stepping stone model: New formulas expose old myths (Q1872358)
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scientific article; zbMATH DE number 1906149
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The stepping stone model: New formulas expose old myths |
scientific article; zbMATH DE number 1906149 |
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The stepping stone model: New formulas expose old myths (English)
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6 May 2003
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The authors study the stepping stone model on the two-dimensional torus. They prove several new hitting time results for random walks from which they derive some simple approximation formulas for homozygosity in the stepping stone model as a function of the separation of the colonies and for Wright's genetic distance \(F_{ST}\). These results confirm a result of \textit{J. F. Crow} and \textit{K. Aoki} [Proc. Natl. Acad. Sci. USA 81, 6073--6077 (1984; Zbl 0559.92016)] found by simulation: in the usual biological range of parameters \(F_{ST}\) grows like the \(\log\) of the number of colonies.
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stepping stone model
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Wright's genetic distance \(F_{ST}\)
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hitting time results
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approximation formulas for homozygosity
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0.7595208
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0.7514625
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0.74229896
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