The TMRCA of general genealogies in populations with deterministically varying size

IF 1.2 4区生物学 Q4 ECOLOGY

Theoretical Population Biology Pub Date : 2025-07-02 DOI:10.1016/j.tpb.2025.06.002

Alejandro H. Wences , Lizbeth Peñaloza , Matthias Steinrücken , Arno Siri-Jégousse

引用次数: 0

Abstract

We study the time to the most recent common ancestor (TMRCA) of a sample of finite size in a wide class of genealogical models for populations with deterministically varying size. This is made possible by recently developed results on inhomogeneous phase-type random variables, allowing us to obtain the density and the moments of the TMRCA of time-dependent coalescent processes in terms of matrix formulas. We also provide matrix simplifications permitting a more straightforward calculation. With these results, the TMRCA provides an explanatory variable to distinguish different evolutionary scenarios, and to infer model parameters.

查看原文本刊更多论文

具有决定性大小变化的人群中一般家谱的TMRCA。

我们研究了一个有限大小的样本的最近共同祖先（TMRCA）的时间在一个广泛的类家谱模型具有确定性的变化大小的群体。这可以通过最近发展的非均匀相位型随机变量的结果来实现，使我们能够根据矩阵公式获得时变凝聚过程的TMRCA的密度和矩。我们还提供了矩阵简化，允许更直接的计算。有了这些结果，TMRCA提供了一个解释变量来区分不同的进化情景，并推断模型参数。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Theoretical Population Biology 生物-进化生物学

CiteScore

2.50

自引率

14.30%

发文量

审稿时长

6-12 weeks

期刊介绍： An interdisciplinary journal, Theoretical Population Biology presents articles on theoretical aspects of the biology of populations, particularly in the areas of demography, ecology, epidemiology, evolution, and genetics. Emphasis is on the development of mathematical theory and models that enhance the understanding of biological phenomena. Articles highlight the motivation and significance of the work for advancing progress in biology, relying on a substantial mathematical effort to obtain biological insight. The journal also presents empirical results and computational and statistical methods directly impinging on theoretical problems in population biology.