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

   
@article{EJP2939,
	author = {Hongwei Bi and Jean-Francois Delmas},
	title = {A population model with non-neutral mutations using branching processes with immigration},
	journal = {Electron. J. Probab.},
	fjournal = {Electronic Journal of Probability},
	volume = {19},
	year = {2014},
	keywords = {non-neutral mutation; branching process;  immigration;   bottleneck;  population model;  genealogical tree; MRCA},
	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.},
	pages = {no. 62, 1-23},
	issn = {1083-6489},
	doi = {10.1214/EJP.v19-2939},    
        url = {http://ejp.ejpecp.org/article/view/2939}}