Markov Jump Processes in Estimating Sharing of Identity by Descent

• 作者: Xian CHEN Wei GUO Xu-min NI
• 来源期刊: 应用数学学报（英文版）
• 年，卷（期）: 2021,（1）
• 页码范围: 183-191
• 页数: 9页
• 语种: 英文

摘要

Identity by descent(IBD)sharing is a very important genomic feature in population genetics which can be used to reconstruct recent demographic history.In this paper we provide a framework to estimate IBD sharing for a demographic model called two-population model with migration.We adopt the structured coalescent theory and use a continuous-time Markov jump process {X(t),t ≥ 0} to describe the genealogical process in such model.Then we apply Kolmogorov backward equation to calculate the distribution of coalescence time and develop a formula for estimating the IBD sharing.The simulation studies show that our method to estimate IBD sharing for this demographic model is robust and accurate.