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. 1987;25(2):161-8.
doi: 10.1007/BF00276387.

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

S Tavaré

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

S Tavaré. J Math Biol. 1987.

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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References

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