Explaining worldwide patterns of human genetic variation using a coalescent-based serial founder model of migration outward from Africa
Michael DeGiorgio a, Mattias Jakobsson b and Noah A. Rosenberg a,c,1
+ Author Affiliations
aCenter for Computational Medicine and Bioinformatics and
cDepartment of Human Genetics and the Life Sciences Institute, University of Michigan, Ann Arbor, MI 48109-2218; and
bDepartment of Evolutionary Biology, Evolutionary Biology Centre, Uppsala University, Norbyägen 18D, Uppsala, Sweden
Edited by Richard G. Klein, Stanford University, Stanford, CA, and approved July 15, 2009 (received for review March 27, 2009)
Abstract
Studies of worldwide human variation have discovered three trends in summary statistics as a function of increasing geographic distance from East Africa: a decrease in heterozygosity, an increase in linkage disequilibrium (LD), and a decrease in the slope of the ancestral allele frequency spectrum. Forward simulations of unlinked loci have shown that the decline in heterozygosity can be described by a serial founder model, in which populations migrate outward from Africa through a process where each of a series of populations is formed from a subset of the previous population in the outward expansion. Here, we extend this approach by developing a retrospective coalescent-based serial founder model that incorporates linked loci. Our model both recovers the observed decline in heterozygosity with increasing distance from Africa and produces the patterns observed in LD and the ancestral allele frequency spectrum. Surprisingly, although migration between neighboring populations and limited admixture between modern and archaic humans can be accommodated in the model while continuing to explain the three trends, a competing model in which a wave of outward modern human migration expands into a series of preexisting archaic populations produces nearly opposite patterns to those observed in the data. We conclude by developing a simpler model to illustrate that the feature that permits the serial founder model but not the archaic persistence model to explain the three trends observed with increasing distance from Africa is its incorporation of a cumulative effect of genetic drift as humans colonized the world.
admixture heterozygosity linkage disequilibrium population divergence
Footnotes
1To whom correspondence should be addressed. E-mail: rnoah@umich.edu
Author contributions: M.D., M.J., and N.A.R. designed research; M.D. and M.J. performed research; M.D. and M.J. analyzed data; and M.D. and N.A.R. wrote the paper.
The authors declare no conflict of interest.
This article is a PNAS Direct Submission.
This article contains supporting information online at www.pnas.org/cgi/content/full/0903341106/DCSupplemental.
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