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Genetics. Mar 1995; 139(3): 1421–1428.
PMCID: PMC1206467

A Nonparametric Approach for Mapping Quantitative Trait Loci

Abstract

Genetic mapping of quantitative trait loci (QTLs) is performed typically by using a parametric approach, based on the assumption that the phenotype follows a normal distribution. Many traits of interest, however, are not normally distributed. In this paper, we present a nonparametric approach to QTL mapping applicable to any phenotypic distribution. The method is based on a statistic Z(w), which generalizes the nonparametric Wilcoxon rank-sum test to the situation of whole-genome search by interval mapping. We determine the appropriate significance level for the statistic Z(w), by showing that its asymptotic null distribution follows an Ornstein-Uhlenbeck process. These results provide a robust, distribution-free method for mapping QTLs.

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Selected References

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  • Ahn S, Tanksley SD. Comparative linkage maps of the rice and maize genomes. Proc Natl Acad Sci U S A. 1993 Sep 1;90(17):7980–7984. [PMC free article] [PubMed]
  • Andersson L, Haley CS, Ellegren H, Knott SA, Johansson M, Andersson K, Andersson-Eklund L, Edfors-Lilja I, Fredholm M, Hansson I, et al. Genetic mapping of quantitative trait loci for growth and fatness in pigs. Science. 1994 Mar 25;263(5154):1771–1774. [PubMed]
  • Bishop MD, Kappes SM, Keele JW, Stone RT, Sunden SL, Hawkins GA, Toldo SS, Fries R, Grosz MD, Yoo J, et al. A genetic linkage map for cattle. Genetics. 1994 Feb;136(2):619–639. [PMC free article] [PubMed]
  • Dietrich W, Katz H, Lincoln SE, Shin HS, Friedman J, Dracopoli NC, Lander ES. A genetic map of the mouse suitable for typing intraspecific crosses. Genetics. 1992 Jun;131(2):423–447. [PMC free article] [PubMed]
  • Dietrich WF, Lander ES, Smith JS, Moser AR, Gould KA, Luongo C, Borenstein N, Dove W. Genetic identification of Mom-1, a major modifier locus affecting Min-induced intestinal neoplasia in the mouse. Cell. 1993 Nov 19;75(4):631–639. [PubMed]
  • Dietrich WF, Miller JC, Steen RG, Merchant M, Damron D, Nahf R, Gross A, Joyce DC, Wessel M, Dredge RD, et al. A genetic map of the mouse with 4,006 simple sequence length polymorphisms. Nat Genet. 1994 Jun;7(2 Spec No):220–245. [PubMed]
  • Drinkwater NR, Klotz JH. Statistical methods for the analysis of tumor multiplicity data. Cancer Res. 1981 Jan;41(1):113–119. [PubMed]
  • Feingold E, Brown PO, Siegmund D. Gaussian models for genetic linkage analysis using complete high-resolution maps of identity by descent. Am J Hum Genet. 1993 Jul;53(1):234–251. [PMC free article] [PubMed]
  • Haley CS, Knott SA, Elsen JM. Mapping quantitative trait loci in crosses between outbred lines using least squares. Genetics. 1994 Mar;136(3):1195–1207. [PMC free article] [PubMed]
  • Hilbert P, Lindpaintner K, Beckmann JS, Serikawa T, Soubrier F, Dubay C, Cartwright P, De Gouyon B, Julier C, Takahasi S, et al. Chromosomal mapping of two genetic loci associated with blood-pressure regulation in hereditary hypertensive rats. Nature. 1991 Oct 10;353(6344):521–529. [PubMed]
  • Jacob HJ, Lindpaintner K, Lincoln SE, Kusumi K, Bunker RK, Mao YP, Ganten D, Dzau VJ, Lander ES. Genetic mapping of a gene causing hypertension in the stroke-prone spontaneously hypertensive rat. Cell. 1991 Oct 4;67(1):213–224. [PubMed]
  • Jansen RC. Interval mapping of multiple quantitative trait loci. Genetics. 1993 Sep;135(1):205–211. [PMC free article] [PubMed]
  • Jansen RC, Stam P. High resolution of quantitative traits into multiple loci via interval mapping. Genetics. 1994 Apr;136(4):1447–1455. [PMC free article] [PubMed]
  • Moreno-Gonzalez J. Efficiency of generations for estimating marker-associated QTL effects by multiple regression. Genetics. 1993 Sep;135(1):223–231. [PMC free article] [PubMed]
  • Moser AR, Dove WF, Roth KA, Gordon JI. The Min (multiple intestinal neoplasia) mutation: its effect on gut epithelial cell differentiation and interaction with a modifier system. J Cell Biol. 1992 Mar;116(6):1517–1526. [PMC free article] [PubMed]
  • Paterson AH, Lander ES, Hewitt JD, Peterson S, Lincoln SE, Tanksley SD. Resolution of quantitative traits into Mendelian factors by using a complete linkage map of restriction fragment length polymorphisms. Nature. 1988 Oct 20;335(6192):721–726. [PubMed]
  • Postlethwait JH, Johnson SL, Midson CN, Talbot WS, Gates M, Ballinger EW, Africa D, Andrews R, Carl T, Eisen JS, et al. A genetic linkage map for the zebrafish. Science. 1994 Apr 29;264(5159):699–703. [PubMed]
  • Rise ML, Frankel WN, Coffin JM, Seyfried TN. Genes for epilepsy mapped in the mouse. Science. 1991 Aug 9;253(5020):669–673. [PubMed]
  • Rodolphe F, Lefort M. A multi-marker model for detecting chromosomal segments displaying QTL activity. Genetics. 1993 Aug;134(4):1277–1288. [PMC free article] [PubMed]
  • Rohrer GA, Alexander LJ, Keele JW, Smith TP, Beattie CW. A microsatellite linkage map of the porcine genome. Genetics. 1994 Jan;136(1):231–245. [PMC free article] [PubMed]
  • Sax K. The Association of Size Differences with Seed-Coat Pattern and Pigmentation in PHASEOLUS VULGARIS. Genetics. 1923 Nov;8(6):552–560. [PMC free article] [PubMed]
  • Stuber CW, Lincoln SE, Wolff DW, Helentjaris T, Lander ES. Identification of genetic factors contributing to heterosis in a hybrid from two elite maize inbred lines using molecular markers. Genetics. 1992 Nov;132(3):823–839. [PMC free article] [PubMed]
  • Tanksley SD, Ganal MW, Prince JP, de Vicente MC, Bonierbale MW, Broun P, Fulton TM, Giovannoni JJ, Grandillo S, Martin GB, et al. High density molecular linkage maps of the tomato and potato genomes. Genetics. 1992 Dec;132(4):1141–1160. [PMC free article] [PubMed]
  • Todd JA, Aitman TJ, Cornall RJ, Ghosh S, Hall JR, Hearne CM, Knight AM, Love JM, McAleer MA, Prins JB, et al. Genetic analysis of autoimmune type 1 diabetes mellitus in mice. Nature. 1991 Jun 13;351(6327):542–547. [PubMed]
  • Zeng ZB. Theoretical basis for separation of multiple linked gene effects in mapping quantitative trait loci. Proc Natl Acad Sci U S A. 1993 Dec 1;90(23):10972–10976. [PMC free article] [PubMed]

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