We consider a class of haploid population models with nonoverlapping
generations and fixed population size $N$ assuming that the family sizes within
a generation are exchangeable random variables. A weak convergence criterion is
established for a properly scaled ancestral process as $N \to \infty$. It
results in a full classification of the coalescent generators in the case of
exchangeable reproduction. In general the coalescent process allows for
simultaneous multiple mergers of ancestral lines.
Publié le : 2001-10-14
Classification:
Ancestral processes,
coalescent,
exchangeability,
generator,
neutrality,
population genetics,
weak convergence,
92D25,
60J70,
92D15,
60F17
@article{1015345761,
author = {M\"ohle, Martin and Sagitov, Serik},
title = {A Classification of Coalescent Processes for Haploid Exchangeable
Population Models},
journal = {Ann. Probab.},
volume = {29},
number = {1},
year = {2001},
pages = { 1547-1562},
language = {en},
url = {http://dml.mathdoc.fr/item/1015345761}
}
Möhle, Martin; Sagitov, Serik. A Classification of Coalescent Processes for Haploid Exchangeable
Population Models. Ann. Probab., Tome 29 (2001) no. 1, pp. 1547-1562. http://gdmltest.u-ga.fr/item/1015345761/