THE COALESCENT IN 2 PARTIALLY ISOLATED DIFFUSION POPULATIONS
THE COALESCENT IN 2 PARTIALLY ISOLATED DIFFUSION POPULATIONS
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DOI：
10.1017/s0016672300027683
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发表时间：
1988-12-01
影响因子：
1.5
通讯作者：
TAKAHATA, N
中科院分区：
文献类型：
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作者：
TAKAHATA, N
金曼（1982 a，B）的No聚结模型描述了来自一个全混种的No个体样本之间的家庭关系。它是由No-1个独立随机事件（聚结）产生的随机过程，在每个事件处n（2 ≤ n）。不等于n 0）一个样本的祖先谱系是第一次从n-1个不同的祖先传下来的。在这里，一个类似的系谱过程进行了研究，由两个种群之间的迁移。本文主要研究了两个连续聚结之间的时间间隔的概率密度以及当n到n-1聚结发生时两个种群中n-1个祖先谱系的空间分布。这些公式是基于一个非线性的出生和死亡过程的杀戮，并用于获得几个明确的公式在选择性中性群体遗传学模型。为了证实和补充分析结果，提出了一种基于底层二元马尔可夫链的模拟方法。这种方法提供了一个通用的方法来解决目前的问题，即使一个分析的方法显得非常困难。很明显，目前种群结构的影响对2比1聚结最明显，对n到n-1（3 ≤ n）的影响程度较小。n）聚结。这意味着在更一般的群体结构模型中，群体的数量和抽样的方式是决定n 0聚结的重要因素。
The No coalescent of Kingman (1982 a,b) describes the family relationships among a sample of No individuals drawn from a panmictic species. It is a stochastic process resulting from No-1 independent random events (coalescences) at each of which n (2 .ltoreq. n .ltoreq. n0) ancestral lineages of a sample are descended from n-1 distinct ancestors for the first time. Here a similar genealogical process is studied for a species consisting of two populations with migration between them. The main interest is with the probability density of the time length between two successive coalescences and the spatial distribution of n-1 ancestral lineages over two populations when n to n-1 coalescence takes place. These are formulated based on a non-linear birth and death process with killing, and are used to derive several explicit formulae in selectively neutral population genetics models. To confirm and supplement the analytical results, a simulation method is proposed based on the underlying bivariate Markov chain. This method provides a general way for solving the present problem even when an analytical approach appears very difficult. It becomes clear that the effects of the present population structure are most conspicuous on 2 to 1 coalescence, with lesser extents on n to n-1 (3 .ltoreq. n) coalescence. This implies that in a more general model of population structure, the number of populations and the way in which a sample is drawn are important factors which determine than n0 coalescent.