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The coalescent and the genealogical process in geographically structured population
 M. Notohara
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We shall extend Kingman's coalescent to the geographically structured population model with migration among colonies. It is described by a continuoustime Markov chain, which is proved to be a dual process of the diffusion process of steppingstone model. We shall derive a system of equations for the spatial distribution of a common ancestor of sampled genes from colonies and the mean time to getting to one common ancestor. These equations are solved in three particular models; a twopopulation model, the island model and the onedimensional steppingstone model with symmetric nearestneighbour migration.
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 Title
 The coalescent and the genealogical process in geographically structured population
 Journal

Journal of Mathematical Biology
Volume 29, Issue 1 , pp 5975
 Cover Date
 19901001
 DOI
 10.1007/BF00173909
 Print ISSN
 03036812
 Online ISSN
 14321416
 Publisher
 SpringerVerlag
 Additional Links
 Topics
 Keywords

 Coalescent
 Genealogical process
 Geographical structure
 Migration
 Markov chain
 Authors

 M. Notohara ^{(1)}
 Author Affiliations

 1. Department of Biology, Faculty of Science, Kyushu University, 33, 812, Fukuoka, Japan