THE NEUTRAL TWO-LOCUS MODEL AS A MEASURE-VALUED DIFFUSION

被引：10

作者：

ETHIER, SN ^{[1
]}

GRIFFITHS, RC ^{[1
]}

机构：

[1] MONASH UNIV,DEPT MATH,CLAYTON,VIC 3168,AUSTRALIA

来源：

ADVANCES IN APPLIED PROBABILITY | 1990年 / 22卷 / 04期

关键词：

POPULATION GENETICS; RECOMBINATION; MARTINGALE PROBLEM; WEAK ERGODICITY;

D O I：

10.2307/1427561

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

The neutral two-locus model in population genetics is reformulated as a measure-valued diffusion process and is shown under certain conditions to have a unique stationary distribution and be weakly ergodic. The limits of the process and its stationary distribution as the recombination parameter tends to infinity are found. Genealogies are incorporated into the model, and it is shown that a random sample of size n from the population at stationarity has a common ancestor.

引用

页码：773 / 786

页数：14

共 10 条

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ETHIER, SN
NAGYLAKI, T
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[4] LIMIT-THEOREM FOR 2-LOCUS DIFFUSION-MODELS IN POPULATION-GENETICS
ETHIER, SN
[J]. JOURNAL OF APPLIED PROBABILITY, 1979, 16 (02) : 402 - 408
[5] THE INFINITELY-MANY-NEUTRAL-ALLELES DIFFUSION-MODEL
ETHIER, SN
KURTZ, TG
[J]. ADVANCES IN APPLIED PROBABILITY, 1981, 13 (03) : 429 - 452
[6] ETHIER SN, 1990, IN PRESS J MATH BIOL
[7] ETHIER SN, 1988, UNPUB 2 LOCUS INFINI
[8] HUDSON RR, 1985, GENETICS, V111, P147
[9] Kurtz T.G., 1981, CBMS NSF REGIONAL C, V36
[10] LITTLER RA, 1972, THESIS MONASH U

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