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The genealogical process of neutral genes with mutation in geographically structured populations

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Abstract

The genealogical process of neutral genes with mutation in geographically structured populations is investigated. Following Watterson [24], the sampled genes are partitioned into two types, old equivalence classes and new equivalence classes. The model is described by a bivariate continuous time Markov chain as an interactive particle system. Some results are obtained in the two-population model and the stepping stone model with symmetric nearest-neighbour migration.

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Notohara, M. The genealogical process of neutral genes with mutation in geographically structured populations. J. Math. Biol. 31, 123–132 (1993). https://doi.org/10.1007/BF00171221

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