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Markov Jump Processes in Estimating Sharing of Identity by Descent
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作者 Xian CHEN Wei GUO xu-min ni 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2021年第1期183-191,共9页
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... 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. 展开更多
关键词 IBD sharing structured coalescent theory Markov jump process Kolmogorov backward equation
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