The Convergence to Equilibrium of Neutral Genetic Models
The Convergence to Equilibrium of Neutral Genetic Models
复制标题
中性遗传模型的平衡收敛
DOI：
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发表时间：
2007
期刊：
影响因子：
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通讯作者：
Sylvain Rubenthaler
中科院分区：
文献类型：
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作者：
P. Moral;L. Miclo;F. Patras;Sylvain Rubenthaler
研究了种群规模固定的中立型遗传种群模型的长时间行为。我们设计了一个明确的，有限的，准确的，基于系谱树的表示，固定人口，持有有限和无限类型（或等位基因）的模型。我们分析了衰减到平衡的有限人口的第一个共同祖先的平稳收敛。我们估计的总变差范数的分布流的李雅普诺夫指数。我们给这些指数的界限只取决于一个单一的个体突变的稳定性，他们是成反比的人口规模参数。
This article is concerned with the long-time behavior of neutral genetic population models with fixed population size. We design an explicit, finite, exact, genealogical tree based representation of stationary populations that holds both for finite and infinite types (or alleles) models. We analyze the decays to the equilibrium of finite populations in terms of the convergence to stationarity of their first common ancestor. We estimate the Lyapunov exponent of the distribution flows with respect to the total variation norm. We give bounds on these exponents only depending on the stability with respect to mutation of a single individual; they are inversely proportional to the population size parameter.