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| Markov Jump Processes in Estimating Sharing of Identity by Descent | |
| 作者姓名： | Xian CHEN Wei GUO Xu-min NI |
| 作者单位： | School of Mathematical Sciences;Academy of Mathematics and Systems Science;Department of Mathematics |
| 基金项目： | supported by the Fundamental Research Funds for the Central Universities(2020RC001)。 |
| 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. |
| 关 键 词： | IBD sharing structured coalescent theory Markov jump process Kolmogorov backward equation |
Markov Jump Processes in Estimating Sharing of Identity by Descent |
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| Xian CHEN,Wei GUO,Xu-min NI.Markov Jump Processes in Estimating Sharing of Identity by Descent[J].Acta Mathematicae Applicatae Sinica,2021,37(1):183-191. | |
| Authors: | Chen Xian Guo Wei Ni Xu-min |
| Institution: | 1.School of Mathematical Sciences, Xiamen University, Xiamen, 361005, China ;2.Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100190, China ;3.Department of Mathematics, Beijing Jiaotong University, Beijing, 100044, China ; |
| Abstract: | Acta Mathematicae Applicatae Sinica, English Series - Identity by descent (IBD) sharing is a very important genomic feature in population genetics which can be used to reconstruct recent... |
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