Cited by 302Forensic and Genetic ResearchGenetic diversity and population structureRace, Genetics, and Society

PCA-Correlated SNPs for Structure Identification in Worldwide Human Populations

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Paschou, Peristera, Ziv, Elad, Burchard, Esteban G, Choudhry, Shweta, Rodriguez-Cintron, William, Mahoney, Michael W, Drineas, Petros·2007·PLoS Genetics

Abstract

Existing methods to ascertain small sets of markers for the identification of human population structure require prior knowledge of individual ancestry. Based on Principal Components Analysis (PCA), and recent results in theoretical computer science, we present a novel algorithm that, applied on genomewide data, selects small subsets of SNPs (PCA-correlated SNPs) to reproduce the structure found by PCA on the complete dataset, without use of ancestry information. Evaluating our method on a previously described dataset (10,805 SNPs, 11 populations), we demonstrate that a very small set of PCA-correlated SNPs can be effectively employed to assign individuals to particular continents or populations, using a simple clustering algorithm. We validate our methods on the HapMap populations and achieve perfect intercontinental differentiation with 14 PCA-correlated SNPs. The Chinese and Japanese populations can be easily differentiated using less than 100 PCA-correlated SNPs ascertained after evaluating 1.7 million SNPs from HapMap. We show that, in general, structure informative SNPs are not portable across geographic regions. However, we manage to identify a general set of 50 PCA-correlated SNPs that effectively assigns individuals to one of nine different populations. Compared to analysis with the measure of informativeness, our methods, although unsupervised, achieved similar results. We proceed to demonstrate that our algorithm can be effectively used for the analysis of admixed populations without having to trace the origin of individuals. Analyzing a Puerto Rican dataset (192 individuals, 7,257 SNPs), we show that PCA-correlated SNPs can be used to successfully predict structure and ancestry proportions. We subsequently validate these SNPs for structure identification in an independent Puerto Rican dataset. The algorithm that we introduce runs in seconds and can be easily applied on large genome-wide datasets, facilitating the identification of population substructure, stratification assessment in multi-stage whole-genome association studies, and the study of demographic history in human populations.

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  • The bounds of Theorem 2 tend to be loose on real-world datasets.

    “Such a phenomenon is not a new observation, and much prior work has shown that the bounds tend to be loose on real-world datasets (Broadbent et al., 2010; Paschou et al., 2007; Jolliffe, 1972).”

    From Compactor: Calibrated Query-Agnostic KV Cache Compression with Approximate Leverage Scores (2025) · cites this paper as Paschou et al., 2007

    The Methods section on estimating significant principal components discusses eigenvalue bounds and tests on the paper’s datasets, but does not assess whether those bounds are loose. Searches for Theorem 2 and for loose or non-tight bounds on real-world data found no passage addressing the claim. No page numbers were available in our copy. (LLM, conf=0.76)

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Research works printed but not linked: 57

  1. Cavalli-Sforza L Feldman M 2003 The application of molecular genetic approaches to the study of human evolution Nat Genet 33 266 275 12610536
  2. Lander E Schork N 1994 Genetic dissection of complex traits Science 265 2037 2048 8091226
  3. Ziv E Burchard E 2003 Human population structure and genetic association studies Pharmacogenomics 4 431 441 12831322
  4. Pritchard J Stephens M Rosenberg N Donnelly P 2000a Association mapping in structured populations Am J Hum Genet 67 170 181 10827107 PMC1287075
  5. Reich D Goldstein D 2001 Detecting association in a case-control study while correcting for population stratification Genet Epidemiol 20 4 16 11119293
  6. Satten G Flanders W Yang Q 2001 Accounting for unmeasured population substructure in case-control studies of genetic association using a novel latent-class model Am J Hum Genet 68 466 477 11170894 PMC1235279
  7. Hoggart C Parra E Shriver M Bonilla C Kittles R 2003 Control of confounding of genetic associations in stratified populations Am J Hum Genet 72 1492 1504 12817591 PMC1180309
  8. Freedman M Reich D Penney K McDonald G Mignault A 2004 Assessing the impact of population stratification on genetic association studies Nat Genet 36 388 393 15052270
  9. Tsai H Choudhry S Naqvi M Rodriguez-Cintron W Burchard E 2005 Comparison of three methods to estimate genetic ancestry and control for stratification in genetic association studies among admixed populations Hum Genet 118 424 433 16208514
  10. Price A Patterson N Plenge R Weinblatt M Shadick N 2006 Principal components analysis corrects for stratification in genome-wide association studies Nat Genet 38 904 909 16862161
  11. Pritchard J Stephens M Donnelly P 2000b Inference of population structure using multilocus genotype data Genetics 155 945 959 10835412 PMC1461096
  12. Falush D Stephens M Pritchard J 2003 Inference of population structure using multilocus genotype data: Linked loci and correlated allele frequencies Genetics 164 1567 1587 12930761 PMC1462648
  13. Rosenberg N Pritchard J Weber J Cann H Kidd K 2002 Genetic structure of human populations Science 298 2381 2385 12493913
  14. Kim J Verdu P Pakstis A Speed W Kidd J 2005 Use of autosomal loci for clustering individuals and populations of East Asian origin Hum Genet 117 511 519 16028061
  15. Lao O vanDuijn K Kersbergen P de Knijff P Kayser M 2006 Proportioning whole-genome single-nucleotide-polymorphism diversity for the identification of geographic population structure and genetic ancestry Am J Hum Genet 78 680 690 16532397 PMC1424693
  16. Liu N Zhao H 2006 A non-parametric approach to population structure inference using multilocus genotypes Hum Genomics 2 353 364 16848973 PMC3525165
  17. Patterson N Price A Reich D 2006 Population structure and eigenanalysis PLoS Genet 2 e190. doi: 10.1371/journal.pgen.0020190 17194218 PMC1713260 · DOI · Paper page
  18. Tang H Peng J Wang P Risch N 2005 Estimation of individual admixture: Analytical and study design considerations Genet Epidemiol 28 289 301 15712363
  19. Paschou P Mahoney M Javed A Kidd J Pakstis A 2007 Intra- and interpopulation genotype reconstruction from tagging SNPs Genome Res 17 96 107 17151345 PMC1716273
  20. Menozzi P Piazza A Cavalli-Sforza L 1978 Synthetic maps of human gene frequencies in Europeans Science 201 786 792 356262
  21. Collins-Schramm H Phillips C Operario D Lee J Weber J 2002 Ethnic-difference markers for use in mapping by admixture linkage disequilibrium Am J Hum Genet 70 737 750 11845411 PMC384950
  22. Rosenberg N Li L Ward R Pritchard J 2003 Informativeness of genetic markers for inference of ancestry Am J Hum Genet 73 1402 1422 14631557 PMC1180403
  23. Shriver M Kennedy G Parra E Lawson H Sonpar V 2004 The genomic distribution of population substructure in four populations using 8,525 autosomal SNPs Hum Genomics 1 274 286 15588487 PMC3525267
  24. Pfaff C Barnholtz-Sloan J Wagner J Long J 2004 Information on ancestry from genetic markers Genet Epidemiol 26 305 315 15095390
  25. Weir B Cardon L Anderson A Nielsen D Hill W 2005 Measures of human population structure show heterogeneity among genomic regions Genome Res 15 1468 1476 16251456 PMC1310634
  26. Dean M Stephens J Winkler C Lomb D Ramsburg M 1994 Polymorphic admixture typing in human ethnic populations Am J Hum Genet 55 788 808 7942857 PMC1918306
  27. Wright S 1951 The genetical structure of populations Ann Eugen 15 323 354 24540312
  28. McKeigue P 1998 Mapping genes that underlie ethnic differences in disease risk: Methods for detecting linkage in admixed populations, by conditioning on parental admixture Am J Hum Genet 63 241 251 9634509 PMC1377232
  29. Drineas P Mahoney M Muthukrishnan S 2006 Sampling algorithms for ℓ2 regression and applications Proceedings of the 17th Annual ACM-SIAM Symposium on Discrete Algorithms: 1127–1136
  30. Drineas P Mahoney M Muthukrishnan S 2006 Subspace sampling and relative-error matrix approximation: Column-row-based methods Proceedings of the 14th Annual European Symposium on Algorithms (ESA): 304–314
  31. Shriver M Mei R Parra E Sonpar V Halder I 2005 Large-scale SNP analysis reveals clustered and continuous patterns of human genetic variation Hum Genomics 2 81 89 16004724 PMC3525270
  32. The International HapMap Consortium 2005 A haplotype map of the human genome Nature 437 1299 1320 16255080 PMC1880871
  33. Lin Z Altman R 2004 Finding haplotype tagging SNPs by use of principal components analysis Am Journal of Hum Genet 75 850 861 15389393 PMC1182114
  34. Skillicorn D 2007 Understanding complex datasets: Data mining using matrix decompositions Boca Raton (Florida) CRC Press 260
  35. Achlioptas D McSherry F 2001 Fast computation of low rank matrix approximations Proceedings of the 33rd Annual ACM Symposium on Theory of Computing: 611–618
  36. Burchard E Avila P Nazario S Casal J Torres A 2004 Lower bronchodilator responsiveness in Puerto Rican than in Mexican subjects with asthma Am J Respir Crit Care Med 169 14617512
  37. Bowcock A Ruiz-Linares A Tomfohrde J Minch E Kidd J 1994 High resolution of human evolutionary trees with polymorphic microsatellites Nature 368 455 457 7510853
  38. Mountain J Cavalli-Sforza L 1997 Multilocus genotypes, a tree of individuals, and human evolutionary history Am J Hum Genet 61 705 718 9326336 PMC1715971
  39. Bamshad M Wooding S Watkins W Ostler C Batzer M 2003 Human population genetic structure and inference of group membership Am J Hum Genet 72 578 589 12557124 PMC1180234
  40. Tang H Quertermous T Rodriguez B Kardia S Zhu X 2005 Genetic structure, self-identified race/ethnicity, and confounding in case-control association studies Am J Hum Genet 76 268 275 15625622 PMC1196372
  41. Seldin M Shigeta R Villoslada P Selmi C Tuomilehto J 2006 European population substructure: Clustering of northern and southern populations PLoS Genet 2 e143. e143 doi: 10.1371/journal.pgen.0020143 17044734 PMC1564423 · DOI
  42. Kim J Parker K 1999 Major histocompatibility complex differentiation in Sacramento river chinook salmon Genetics 151 1115 1122 10049927 PMC1460519
  43. Pritchard J Donnelly P 2001 Case-control studies of association in structured or admixed populations Theor Popul Biol 60 227 237 11855957
  44. McKeigue P 2005 Prospects for admixture mapping of complex traits Am J Hum Genet 76 1 7 15540159 PMC1196412
  45. Kidd K Pakstis A Speed W Grigorenko E Kajuna S 2006 Developing a SNP panel for forensic identification of individuals Forensic Sci Int 164 20 32 16360294
  46. Smith M Patterson N Lautenberger J Truelove A McDonald G 2004 A high-density admixture map for disease gene discovery in African Americans Am J Hum Genet 74 1001 1013 15088270 PMC1181963
  47. Yang N Li H Criswell L Gregersen P Alarcon-Riquelme M 2005 Examination of ancestry and ethnic affiliation using highly informative diallelic DNA markers: Application to diverse and admixed populations and implications for clinical epidemiology and forensic medicine Hum Genet 118 382 392 16193326
  48. Tian C Hinds D Shigeta R Kittles R Ballinger D 2006 A genomewide single-nucleotide-polymorphism panel with high ancestry information for African American admixture mapping Am J Hum Genet 79 640 649 16960800 PMC1592561
  49. Tian C Hinds D Shigeta R Adler S Lee A 2007 A genomewide single-nucleotidepolymorphism panel for Mexican American admixture mapping Am J Hum Genet 80 1014 1023 17557415 PMC1867091
  50. Price A Patterson N Yu F Cox D Waliszewska A 2007 A genomewide admixture map for latino populations Am J Hum Genet 80 1024 1036 17503322 PMC1867092
  51. Mao X Bigham A Mei R Gutierrez G Weiss K 2007 A genomewide admixture mapping panel for hispanic/latino populations Am J Hum Genet 80 1171 1178 17503334 PMC1867104
  52. Bauchet M McEvoy B Pearson L Quillen E Sarkisian T 2007 Measuring European population stratification with microarray genotype data Am J Hum Genet 80 948 956 17436249 PMC1852743
  53. Helgason A Yngvadottir B Hrafnkelsson B Gulcher J Stefansson K 2005 An Icelandic example of the impact of population structure on association studies Nat Genet 37 90 95 15608637
  54. Adams J Ward R 1973 Admixture studies and the detection of selection Science 180 1137 1143 4707061
  55. Long J 1991 The genetic structure of admixed populations Genetics 127 417 428 2004712 PMC1204369
  56. Alter O Brown P Botstein D 2000 Singular value decomposition for genome-wide expression data processing and modeling Proc Natl Acad Sci U S A 97 10101 10106 10963673 PMC27718
  57. Horn R Johnson C 1985 Matrix Analysis New York Cambridge University Press 575

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Authors
Paschou, P., Ziv, E., Burchard, E. G., Choudhry, S., Rodriguez-Cintron, W., Mahoney, M. W., & Drineas, P.
Affiliations
  • Democritus University of Thrace (GR)
  • University of California, San Francisco (US)
  • Yahoo (United States) (US)
Corresponding author
Paschou, Peristera
Venue
PLoS Genetics
Published
2007-09-21
Volume
3
Issue
9
Pages
e160
ISSN
  • 1553-7390 (ISSN-L)
  • 1553-7404
OpenAlex
W2024027525
Cited by
302
References
6
Citations by year
2026: 6 · 2025: 9 · 2024: 7 · 2023: 7 · 2022: 11 · 2021: 29 · 2020: 10 · 2019: 18 · 2018: 20 · 2017: 14 · 2016: 19 · 2015: 21 · 2014: 14 · 2013: 16 · 2012: 27
FWCI
8.60
Type
journal article
Language
en
Open access
Locations
  • PLoS Genetics (publishedVersion, cc-by)
  • Europe PMC (PubMed Central) (publishedVersion, other-oa)
  • PubMed Central (publishedVersion, other-oa)
  • PubMed (publishedVersion)
  • RePEc: Research Papers in Economics (submittedVersion)
  • DOAJ (DOAJ: Directory of Open Access Journals) (submittedVersion, cc-by-sa)
  • eScholarship (California Digital Library) (submittedVersion)
  • eScholarship (California Digital Library) (submittedVersion, cc-by)
  • Figshare (submittedVersion, cc-by)
Funders
  • National Science Foundation (CAREER)
  • U.S. Department of Defense
  • American Thoracic Society
  • National Institutes of Health
  • National Institute on Aging (U19AG23122, U19AG023122)
  • National Heart, Lung, and Blood Institute (HL078885, R01HL078885)
  • National Cancer Institute (K22CA109351)
Topics
  • Life Sciences › Biochemistry, Genetics and Molecular Biology › Genetics › Forensic and Genetic Research
  • Life Sciences › Biochemistry, Genetics and Molecular Biology › Genetics › Genetic diversity and population structure
  • Life Sciences › Biochemistry, Genetics and Molecular Biology › Genetics › Race, Genetics, and Society
Keywords
population structure, principal component analysis, SNP selection, ancestry inference, admixed populations, Puerto Rican population, HapMap populations, population stratification, whole-genome association studies, human population genetics
MeSH terms
Algorithms, Genetics, Population, Humans, Polymorphism, Single Nucleotide, Principal Component Analysis

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