An approximate sampling formula under genetic hitchhiking
Etheridge, Alison ; Pfaffelhuber, Peter ; Wakolbinger, Anton
Ann. Appl. Probab., Tome 16 (2006) no. 1, p. 685-729 / Harvested from Project Euclid
For a genetic locus carrying a strongly beneficial allele which has just fixed in a large population, we study the ancestry at a linked neutral locus. During this “selective sweep” the linkage between the two loci is broken up by recombination and the ancestry at the neutral locus is modeled by a structured coalescent in a random background. For large selection coefficients α and under an appropriate scaling of the recombination rate, we derive a sampling formula with an order of accuracy of $\mathcal{O}((\log \alpha)^{-2})$ in probability. In particular we see that, with this order of accuracy, in a sample of fixed size there are at most two nonsingleton families of individuals which are identical by descent at the neutral locus from the beginning of the sweep. This refines a formula going back to the work of Maynard Smith and Haigh, and complements recent work of Schweinsberg and Durrett on selective sweeps in the Moran model.
Publié le : 2006-05-14
Classification:  Selective sweeps,  genetic hitchhiking,  approximate sampling formula,  random ancestral partition,  diffusion approximation,  structured coalescent,  Yule processes,  random background,  92D15,  60J80,  60J85,  60K37,  92D10
@article{1151592248,
     author = {Etheridge, Alison and Pfaffelhuber, Peter and Wakolbinger, Anton},
     title = {An approximate sampling formula under genetic hitchhiking},
     journal = {Ann. Appl. Probab.},
     volume = {16},
     number = {1},
     year = {2006},
     pages = { 685-729},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1151592248}
}
Etheridge, Alison; Pfaffelhuber, Peter; Wakolbinger, Anton. An approximate sampling formula under genetic hitchhiking. Ann. Appl. Probab., Tome 16 (2006) no. 1, pp.  685-729. http://gdmltest.u-ga.fr/item/1151592248/