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A population model with non-neutral mutations using branching processes with immigration

Dublin Core		PKP Metadata Items	Metadata for this Document
1.	Title	Title of document	A population model with non-neutral mutations using branching processes with immigration
2.	Creator	Author's name, affiliation, country	Hongwei Bi; ENPC & Université Paris-Est & University of International Business and Economics; China
2.	Creator	Author's name, affiliation, country	Jean-Francois Delmas; ENPC & Université Paris-Est; France
3.	Subject	Discipline(s)
3.	Subject	Keyword(s)	non-neutral mutation; branching process; immigration; bottleneck; population model; genealogical tree; MRCA
3.	Subject	Subject classification	Primary: 60J80, 92D10; Secondary: 60G10, 60G55, 60J68, 92D25
4.	Description	Abstract	We consider a stationary continuous model of random size population with non-neutral mutations using a continuous state branching process with non-homogeneous immigration. We assume the type (or mutation) of the immigrants is random given by a constant mutation rate measure. We determine some genealogical properties of this process such as: distribution of the time to the most recent common ancestor (MRCA), bottleneck effect at the time to the MRCA (which might be drastic for some mutation rate measures), favorable type for the MRCA, asymptotics of the number of ancestors.
5.	Publisher	Organizing agency, location
6.	Contributor	Sponsor(s)
7.	Date	(YYYY-MM-DD)	2014-07-20
8.	Type	Status & genre	Peer-reviewed Article
8.	Type	Type
9.	Format	File format	PDF
10.	Identifier	Uniform Resource Identifier	http://ejp.ejpecp.org/article/view/2939
10.	Identifier	Digital Object Identifier	10.1214/EJP.v19-2939
11.	Source	Journal/conference title; vol., no. (year)	Electronic Journal of Probability; Vol 19
12.	Language	English=en	en
14.	Coverage	Geo-spatial location, chronological period, research sample (gender, age, etc.)
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