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2014 A population model with non-neutral mutations using branching processes with immigration
Hongwei Bi, Jean-Francois Delmas
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Electron. J. Probab. 19: 1-23 (2014). DOI: 10.1214/EJP.v19-2939


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.


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Hongwei Bi. Jean-Francois Delmas. "A population model with non-neutral mutations using branching processes with immigration." Electron. J. Probab. 19 1 - 23, 2014.


Accepted: 20 July 2014; Published: 2014
First available in Project Euclid: 4 June 2016

zbMATH: 1312.60104
MathSciNet: MR3238782
Digital Object Identifier: 10.1214/EJP.v19-2939

Primary: 60J80 , 92D10
Secondary: 60G10 , 60G55 , 60J68 , 92D25

Keywords: bottleneck , branching process , Genealogical tree , immigration , MRCA , non-neutral mutation , population model


Vol.19 • 2014
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