Moment expansion approach to the time dynamics of genetic evolution,International Journal of Quantum Chemistry

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Moment expansion approach to the time dynamics of genetic evolution
International Journal of Quantum Chemistry ( IF 2.3 ) Pub Date : 2019-10-31 , DOI: 10.1002/qua.26089
Hamid‐Reza Rastegar‐Sedehi ₁ , Tim Byrnes _{2,

3,

4,

5,

6} , Reza Khordad ₇

Affiliation

We use moment expansion methods to analyze the time dynamics for genetic evolution under selection, mutation, and reproduction. We consider a N‐allele diploid genotype reproducing randomly in a fitness landscape with either one or two maxima, and mutation is assumed to occur such that any allele can mutate into any other type. We find that the moment expansion works well, where a small number of moments can capture the general behavior toward equilibrium. Our methods allow a systematic way to capture the time dynamics of the evolutionary process efficiently using a small number of coupled equations.

中文翻译：

遗传进化时间动态的矩扩展方法

我们使用矩扩展方法来分析在选择，突变和繁殖下遗传进化的时间动态。我们认为N等位基因二倍体基因型在一个或两个最大值的适应环境中随机繁殖，并且假定发生突变，使得任何等位基因都可以突变为任何其他类型。我们发现，矩扩展效果很好，少数矩可以捕获朝向平衡的一般行为。我们的方法提供了一种系统的方法，可以使用少量耦合方程高效地捕获演化过程的时间动态。

更新日期：2019-12-21

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