The birth process with immigration,and the genealogical structure of large populations |
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| Authors: | Tavaré Simon |
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| Institution: | (1) Mathematics Department, University of Utah, 84112 Salt Lake City, UT, USA |
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| Abstract: | This paper studies a version of the birth and immigration process in which families are followed in the order of their appearance. This age structure is related to a number of results from population genetics, in particular the genealogical structure of the infinitely-many neutral alleles model. The asymptotic behavior of this genealogy is an easy consequence of the structure of the age-ordered family size process. |
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| Keywords: | Population genetics Genealogy Birth process Point process Poisson-Dirichlet distribution |
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