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Linearization of the Kingman Coalescent

Slade, Paul F

Description

Kingman's coalescent process is a mathematical model of genealogy in which only pairwise common ancestry may occur. Inter-arrival times between successive coalescence events have a negative exponential distribution whose rate equals the combinatorial term (n/2) where n denotes the number of lineages present in the genealogy. These two standard constraints of Kingman's coalescent, obtained in the limit of a large population size, approximate the exact ancestral process ofWright-Fisher or Moran...[Show more]

CollectionsANU Research Publications
Date published: 2018
Type: Journal article
URI: http://hdl.handle.net/1885/171654
Source: Mathematics
DOI: 10.3390/math6050082
Access Rights: Open Access

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