The nk model of fitness interactions is examined. This model has been used by previous authors to investigate the effects of fitness epistasis on substitution dynamics in molecular evolution, and to make broader claims about the importance of epistasis. To examine these claims, an infinite-allele approximation is introduced. In this limit, it is shown that the nk model is, at an appropriate level of description, formally identical to the non-epistatic House-of-Cards model—a well-studied model in theoretical population genetics. It is further shown that in many parameter regimes, the analytical results obtained from this infinite-allele approximation are very close to results from the full nk model (with a finite number of alleles per locus). The findings presented shed light on a number of previous results.
Evaluates "patterns of introgression across the hybrid zone for 13 diagnostic X-linked loci with known chromosomal positions using a maximum likelihood model". Finds different patterns. Correlates cline width and cline center at different loci.
P. Jagers, O. Nerman, and Z. Ta\"ıb. Selected Proceedings of the Sheffield Symposium on Applied Probability (Sheffield, 1989), volume 18 of IMS Lecture Notes Monogr. Ser., page 118--126. Hayward, CA, Inst. Math. Statist., (1991)
R. Wang, J. Wakeley, and J. Hey. Genetics, 147 (3):
1091-1106(1997)In three species of Drosophila, looks at three different nuclear loci (two of which is on the X chromosome) and finds evidence of recent gene flow in one, but not in the other two. Cites mtDNA and allozyme studies as well, with differing conclusions..
M. Macholan, P. Munclinger, M. Sugerkova, P. Dufkova, B. Bimova, E. Bozikova, J. Zima, and J. Pialek. Evolution, 61 (4):
746-771(2007)The "first comprehensive study of the introgression of both autosomal and sex-chromosome markers across the central European portion of the hybrid zone between two house mouse subspecies, Mus musculus musculus and M. m. domesticus."
Gets different results for autosomal and X-linked loci. Used four microsats, seven (enzymatic) autosomal loci, and five X-linked loci. Has data from about 1500 mice. Lots of fancy 2-D cline fitting. Estimates strength of selection from fitted cline shapes. Has "sobering" conclusions about the difficulty of such an analysis..