The DOI matches its Crossref record; 32 of the 32 references it cites were found in a registry or an index.
Understanding admixture fractions: theory and estimation of gene-flow
Abstract
Estimation of admixture fractions has become one of the most commonly used computational tools in population genomics. How ever, there is remarkably little population genetic theory on their statistical properties. We develop theoretical results that can accurately predict means and variances of admixture proportions within a population using models with recombination and genetic drift. Based on established theory on measures of multilocus disequilibrium, we show that there is a set of recurrence relations that can be used to derive expectations for higher moments of the admixture fraction distribution. We obtain closed form solutions for some special cases. Using these results, we develop a method for estimating admixture parameters from estimated admixture proportion obtained from programs such as Structure or Admixture. We apply this method to HapMap data and find that the population history of African Americans, as expected, is not best explained by a single admixture event between people of European and African ancestry. A model of constant gene flow for the past 11 generations until 2 generations ago gives a better fit.
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“indicating that it originates from very recent historical admixture without time to reach equilibrium across the population (15).”
From Message in a bottleneck: Nested founder effects from French Polynesia to Rapa Nui and Hawaiʻi (2026) · cites this paper as [15]
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Cites
Inference of Population Structure Using Multilocus Genotype Data
Pritchard, J. K., Stephens, M., & Donnelly, P. (2000) · Genetics · doi:10.1093/genetics/155.2.945 · Cited by 33,908
Fast model-based estimation of ancestry in unrelated individuals
Alexander, D. H., Novembre, J., & Lange, K. (2009) · Genome Research · doi:10.1101/gr.094052.109 · Cited by 9,898
Falush, D., Stephens, M., & Pritchard, J. K. (2003) · Genetics · doi:10.1093/genetics/164.4.1567 · Cited by 7,959
Integrating common and rare genetic variation in diverse human populations
The International HapMap 3 Consortium (2010) · Nature · doi:10.1038/nature09298 · Cited by 3,026
Genetic Structure of Human Populations
Rosenberg, N. A., Pritchard, J. K., Weber, J. L., Cann, H. M., Kidd, K. K., Zhivotovsky, L. A., & Feldman, M. W. (2002) · Science · doi:10.1126/science.1078311 · Cited by 2,222
RFMix: A Discriminative Modeling Approach for Rapid and Robust Local-Ancestry Inference
Maples, B. K., Gravel, S., Kenny, E. E., & Bustamante, C. D. (2013) · The American Journal of Human Genetics · doi:10.1016/j.ajhg.2013.06.020 · Cited by 900
Estimation of individual admixture: Analytical and study design considerations
Tang, H., Peng, J., Wang, P., & Risch, N. J. (2005) · Genetic Epidemiology · doi:10.1002/gepi.20064 · Cited by 671
Efficient Coalescent Simulation and Genealogical Analysis for Large Sample Sizes
Kelleher, J., Etheridge, A. M., & McVean, G. (2016) · PLOS Computational Biology · doi:10.1371/journal.pcbi.1004842 · Cited by 654
A tutorial on how not to over-interpret STRUCTURE and ADMIXTURE bar plots
Lawson, D. J., van Dorp, L., & Falush, D. (2018) · Nature Communications · doi:10.1038/s41467-018-05257-7 · Cited by 560
Inferring admixture histories of human populations using linkage disequilibrium
Loh, P.-R., Lipson, M., Patterson, N., Moorjani, P., Pickrell, J. K., Reich, D., & Berger, B. (2013) · Genetics · doi:10.1534/genetics.112.147330 · Cited by 466
Research works printed but not linked: 1
- Haldane JBS (1919) The combination of linkage values and the calculation of distances between the loci of linked factors. J Genet 8(29):299–309
Cited by
Message in a bottleneck: Nested founder effects from French Polynesia to Rapa Nui and Hawaiʻi
Shanks, C., Huang, E. C., Thomassin, C., Emde, A.-K., Rodière, V., Moraga, M., Sandoval, K., Merriman, T., Pascart, T., Moreno-Estrada, A., et al. (2026) · Science · doi:10.1126/science.aec7662
Metadata
- Authors
- Liang, M., Shishkin, M., Shchur, V., & Nielsen, R.
- ORCID
- Shchur, Vladimir
- Venue
- Journal of Mathematical Biology
- Published
- 2024-10-04
- Volume
- 89
- Issue
- 5
- ISSN
- 0303-6812
- 1432-1416
- PMC
- PMC12042791
- Cited by
- 5
- References
- 32
- Language
- en
- Licence
- www.springernature.com/gp/researchers/text-and-data-mining (tdm)
- www.springernature.com/gp/researchers/text-and-data-mining (vor)
- Funders
- Russian Science Foundation (22-71-10056)
- NIH (R01GM138634)
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