Division of Plant Sciences, Research School of Biology, The Australian National University, Canberra, ACT, Australia.
Mol Ecol. 2011 Aug;20(15):3156-66. doi: 10.1111/j.1365-294X.2011.05171.x. Epub 2011 Jul 8.
Mutual information (I) provides a robust measure of genetic differentiation for the purposes of estimating dispersal between populations. At present, however, there is little predictive theory for I. The growing importance in population biology of analyses of single-nucleotide and other single-feature polymorphisms (SFPs) is a potent reason for developing an analytic theory for I with respect to a single locus. This study represents a first step towards such a theory. We present theoretical predictions of I between two populations with respect to a single haploid biallelic locus. Dynamical and steady-state forecasts of I are derived from a Wright-Fisher model with symmetrical mutation between alleles and symmetrical dispersal between populations. Analytical predictions of a simple Taylor approximation to I are in good agreement with numerical simulations of I and with data on I from SFP analyses of dispersal experiments on Drosophila fly populations. The theory presented here also provides a basis for the future inclusion of selection effects and extension to multiallelic loci.
互信息 (I) 为估计种群间的扩散提供了一种稳健的遗传分化衡量标准。然而，目前对于 I 还没有预测理论。在种群生物学中，对单核苷酸和其他单一特征多态性 (SFP) 的分析越来越重要，这是发展针对单个基因座的 I 分析理论的一个有力原因。本研究代表了朝着这一理论迈出的第一步。我们提出了关于单倍体二倍体基因座的两个种群之间 I 的理论预测。从具有等位基因间对称突变和种群间对称扩散的 Wright-Fisher 模型中得出了 I 的动态和稳态预测。I 的简单泰勒逼近的解析预测与 I 的数值模拟以及来自果蝇种群扩散实验 SFP 分析的 I 数据非常吻合。本文提出的理论也为未来纳入选择效应和扩展到多等位基因座提供了基础。
