Conditional genealogies and the age of a neutral mutant

被引：53

作者：

Wiuf, C

Donnelly, P

机构：

[1] Univ Oxford, Dept Stat, Oxford OX1 3TG, England

[2] Univ Aarhus, Inst Biol Sci, DK-8000 Aarhus, Denmark

来源：

THEORETICAL POPULATION BIOLOGY | 1999年 / 56卷 / 02期

基金：

英国工程与自然科学研究理事会; 美国国家科学基金会; 英国生物技术与生命科学研究理事会;

关键词：

age of allele; coalescent model; conditional genealogies;

D O I：

10.1006/tpbi.1998.1411

中图分类号：

Q14 [生态学（生物生态学）];

学科分类号：

071012 ; 0713 ;

摘要：

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. (C) 1999 Academic Press.

引用

页码：183 / 201

页数：19

共 15 条

[1]

[Anonymous], 1998, COMMUN STAT STOCH MO, DOI [DOI 10.1080/15326349808807471, 10.1080/15326349808807471]

[2] Coalescents and genealogical structure under neutrality [J].

Donnelly, P ;

Tavare, S .

ANNUAL REVIEW OF GENETICS, 1995, 29 :401-421

[3] SAMPLING THEORY FOR NEUTRAL ALLELES IN A VARYING ENVIRONMENT [J].

GRIFFITHS, RC ;

TAVARE, S .

PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY OF LONDON SERIES B-BIOLOGICAL SCIENCES, 1994, 344 (1310) :403-410

[4]

Hoffmann-Jorgensen J., 1994, Probability with a View Towards Statistics

[5]

Hudson R.R., 1990, Oxford Surveys in Evolutionary Biology, V7, P1

[6]

KIMURA M, 1973, GENETICS, V75, P199

[7]

Kingman J.F., 1982, Stochastic Process. Appl., V13, P235, DOI [DOI 10.1016/0304-4149(82)90011-4, 10.1016/0304-4149(82)90011-4]

[8]

Kingman J.F. C., 1982, EXCHANGEABILITY PROB, P97

[9]

MORAN PAP, 1958, P CAMB PHILOS SOC, V54, P60, DOI DOI 10.1017/S0305004100033193)

[10] ON THE GENEALOGY OF NESTED SUBSAMPLES FROM A HAPLOID POPULATION [J].

SAUNDERS, IW ;

TAVARE, S ;

WATTERSON, GA .

ADVANCES IN APPLIED PROBABILITY, 1984, 16 (03) :471-491

← 1 2 →