Abstract
Many traits are defined as ratios of two quantitative traits. Methods of QTL mapping for regular quantitative traits are not optimal when applied to ratios due to lack of normality for traits defined as ratios. We develop a new method of QTL mapping for traits defined as ratios. The new method uses a special linear combination of the two component traits, and thus takes advantage of the normal property of the new variable. Simulation study shows that the new method can substantially increase the statistical power of QTL detection relative to the method which treats ratios as regular quantitative traits. The new method also outperforms the method that uses Box-Cox transformed ratio as the phenotype. A real example of QTL mapping for relative growth rate in soybean demonstrates that the new method can detect more QTL than existing methods of QTL mapping for traits defined as ratios.
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References
Casas E, Shackelford SD, Keele JW, Koohmaraie M, Smith TPL, Stone RT (2003) Detection of quantitative trait loci for growth and carcass composition in cattle. J Animal Sci 81:2976–2983
Dempster AP, Laird NM, Rubin DB (1977) Maximum likelihood from incomplete data via EM algorithm. J R Stat Soc Ser B 39:1–38
Lander ES, Botstein D (1989) Mapping mendelian factors underlying quantitative traits using RFLP linkage maps. Genetics 121:185–199
Sun D, Li W, Zhang Z, Cheng Q, Yang Q (2006) Analysis of QTL for plant height at different developmental stages in soybean. Acta Agronomica Sinica 4:509–514
Tsarouhas V, Gullberg U, Lagercrantz U (2002) An AFLP and RFLP linkage map and quantitative trait locus (QTL) analysis of growth traits in Salix. Theor Appl Genet 105(2–3):277–288
van Kaam JB, Bink MC, Bovenhuis H, Quaas RL (2002) Scaling to account for heterogeneous variances in a Bayesian analysis of broiler quantitative trait loci. J Animal Sci 80:45–56
Viitala SM, Schulman NF, de Koning DJ, Elo K, Kinos R, Virta A, Virta J, Mäki-Tanila A, Vilkki JH (2003) Quantitative trait loci affecting milk production traits in finnish ayrshire dairy cattle. J Dairy Sci 86:1828–1836
Weller JI, Golik M, Seroussi E, Ezra E, Ron M (2003) Population-wide analysis of a QTL affecting milk-fat production in the Israeli holstein population. J Dairy Sci 86:2219–2227
Yang R, Yi N, Xu S (2006) Box-Cox transformation for QTL mapping. Genetica 128:133–143
Acknowledgements
The research was supported by the National Institute of Health Grant R01-GM55321 and the National Science Foundation Grant DBI-0345205 to SX, and the Chinese National Natural Science Foundation Grant 30471236 to RY.
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Yang, R., Li, J. & Xu, S. Mapping quantitative trait loci for traits defined as ratios. Genetica 132, 323–329 (2008). https://doi.org/10.1007/s10709-007-9175-0
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DOI: https://doi.org/10.1007/s10709-007-9175-0