PMID: 3611979Jan 1, 1987Paper

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

Journal of Mathematical Biology
S Tavaré

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.

References

Apr 1, 1977·Theoretical Population Biology·J F Kingman
Mar 1, 1972·Theoretical Population Biology·W J Ewens

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Citations

Jan 1, 1989·Journal of Mathematical Biology·R C Griffiths
Nov 3, 2016·Bulletin of Mathematical Biology·Michael D Nicholson, Tibor Antal

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