Conditional genealogies and the age of a neutral mutant

TY - JOUR

T1 - Conditional genealogies and the age of a neutral mutant

AU - Wiuf, Carsten

AU - Donnelly, Peter

PY - 1999/1/1

Y1 - 1999/1/1

N2 - This paper is concerned with the structure of the genealogy of a sample in which it is observed that some subset of chromosomes carries a particular mutation, assumed to have arisen uniquely in the history of the population. A rigorous theoretical study of this conditional genealogy is given using coalescent methods. Particular results include the mean, variance, and density of the age of the mutation conditional on its frequency in the sample. Most of the development relates to populations of constant size, but we discuss the extension to populations which have grown exponentially to their present size.

AB - This paper is concerned with the structure of the genealogy of a sample in which it is observed that some subset of chromosomes carries a particular mutation, assumed to have arisen uniquely in the history of the population. A rigorous theoretical study of this conditional genealogy is given using coalescent methods. Particular results include the mean, variance, and density of the age of the mutation conditional on its frequency in the sample. Most of the development relates to populations of constant size, but we discuss the extension to populations which have grown exponentially to their present size.

KW - Age of allele

KW - Coalescent model

KW - Conditional genealogies

UR - http://www.scopus.com/inward/record.url?scp=0033213012&partnerID=8YFLogxK

U2 - 10.1006/tpbi.1998.1411

DO - 10.1006/tpbi.1998.1411

M3 - Journal article

C2 - 10544068

AN - SCOPUS:0033213012

SN - 0040-5809

VL - 56

SP - 183

EP - 201

JO - Theoretical Population Biology

JF - Theoretical Population Biology

IS - 2

ER -