Markov Jump Processes in Estimating Sharing of Identity by Descent

doi:10.1007/s10255-021-0989-9

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	Markov Jump Processes in Estimating Sharing of Identity by Descent
	Chen, Xian 1; Guo, Wei 2; Ni, Xu-min 3
	2021
发表期刊	ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES
ISSN	0168-9673
卷号	37 期号:1 页码:183-191
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
DOI	10.1007/s10255-021-0989-9
收录类别	SCI
语种	英语
资助项目	Fundamental Research Funds for the Central Universities[2020RC001]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000605635400015
出版者	SPRINGER HEIDELBERG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/57956
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.