Duality, ancestral and diffusion processes in models with selection
Duality, ancestral and diffusion processes in models with selection
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DOI：
10.1016/j.tpb.2009.01.007
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发表时间：
2009-03-01
影响因子：
1.4
通讯作者：
Mano, Shuhei
中科院分区：
文献类型：
--
作者：
Mano, Shuhei
群体遗传学中的祖先选择图由Krone和诺伊豪泽[Krone，S.M.，诺伊豪泽，C.，1997.有选择的祖先过程。Theor.波普尔Biol.51，210-237]作为来自中性进化群体的基因样本的结合系谱的类似物。图中的粒子数，在时间上是一个出生和死亡的过程，具有二次死亡率和线性出生率。本文利用Kimura [Kimura，M.，1955.自然选择下基因频率的随机过程与分布。冷泉港定量生物学研讨会20，33-53]。结果表明，扩散模型中等位基因的固定过程对应于祖先过程收敛到其平稳测度。固定的等位基因条件固定的时间进行了研究的祖先的过程。(C)2009爱思唯尔公司All rights reserved.
The ancestral selection graph in population genetics was introduced by Krone and Neuhauser [Krone, S.M., Neuhauser, C., 1997. Ancestral process with selection. Theor. Popul. Biol. 51, 210-237] as an analogue of the coalescent genealogy of a sample of genes from a neutrally evolving population. The number of particles in this graph, followed backwards in time, is a birth and death process with quadratic death and linear birth rates. In this paper in explicit form of the probability distribution of the number of particles is obtained by using the density of the allele frequency in the corresponding diffusion model obtained by Kimura [Kimura, M., 1955. Stochastic process and distribution of gene frequencies under natural selection. Cold Spring Harbor Symposia on Quantitative Biology 20, 33-53]. It is shown that the process of fixation of the allele in the diffusion model Corresponds to convergence of the ancestral process to its stationary measure. The time to fixation of the allele conditional on fixation is studied in terms of the ancestral process. (C) 2009 Elsevier Inc. All rights reserved.