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Markov Jump Processes in Estimating Sharing of Identity by Descent

文献类型：期刊论文

作者Chen, Xian1; Guo, Wei2; Ni, Xu-min3
刊名ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES
出版日期2021
卷号37期号:1页码:183-191
关键词IBD sharing structured coalescent theory Markov jump process Kolmogorov backward equation
ISSN号0168-9673
DOI10.1007/s10255-021-0989-9
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.
资助项目Fundamental Research Funds for the Central Universities[2020RC001]
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000605635400015
出版者SPRINGER HEIDELBERG
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/57955]  
专题中国科学院数学与系统科学研究院
通讯作者Ni, Xu-min
作者单位1.Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China
2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
3.Beijing Jiaotong Univ, Dept Math, Beijing 100044, Peoples R China
推荐引用方式
GB/T 7714		 Chen, Xian,Guo, Wei,Ni, Xu-min. Markov Jump Processes in Estimating Sharing of Identity by Descent[J]. ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES,2021,37(1):183-191.
APA Chen, Xian,Guo, Wei,&Ni, Xu-min.(2021).Markov Jump Processes in Estimating Sharing of Identity by Descent.ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES,37(1),183-191.
MLA Chen, Xian,et al."Markov Jump Processes in Estimating Sharing of Identity by Descent".ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES 37.1(2021):183-191.

入库方式： OAI收割

来源：数学与系统科学研究院

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