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The birth process with immigration, and the genealogical structure of large populations

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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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  1. Mathematics Department, University of Utah, 84112, Salt Lake City, UT, USA

    Simon Tavaré

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  1. Simon Tavaré
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Tavaré, S. The birth process with immigration, and the genealogical structure of large populations. J. Math. Biology 25, 161–168 (1987). https://doi.org/10.1007/BF00276387

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  • DOI: https://doi.org/10.1007/BF00276387

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