Wences Alejandro H, Peñaloza Lizbeth, Steinrücken Matthias, Siri-Jégousse Arno
LAAS - CNRS, Université de Toulouse, France.
Instituto de Investigaciόn de Matemáticas y Actuaría, Universidad del Mar, campus Huatulco, México.
bioRxiv. 2024 Sep 24:2024.09.19.613917. doi: 10.1101/2024.09.19.613917.
We study the time to the most recent common ancestor of a sample of finite size in a wide class of genealogical models for populations with variable 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 explicative variable to distinguish different evolutionary scenarios.
我们研究了在一大类种群大小可变的系谱模型中，有限大小样本到最近共同祖先的时间。最近关于非齐次相位型随机变量的研究成果使这成为可能，使我们能够根据矩阵公式获得时间依赖合并过程的最近共同祖先时间（TMRCA）的密度和矩。我们还提供了矩阵简化形式，以便进行更直接的计算。有了这些结果，TMRCA提供了一个解释变量来区分不同的进化场景。
