The birth process with immigration, and the genealogical structure of large populations
J. Math. Biol., 25 (2):
161--168 (1987)Abstract
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.
Description
The birth process with immigration, and the genealogical structure of large populations