Skip to main content

Advertisement

Log in

Bayesian functional mapping of dynamic quantitative traits

  • Original Paper
  • Published:
Theoretical and Applied Genetics Aims and scope Submit manuscript

Abstract

Without consideration of other linked QTLs responsible for dynamic trait, original functional mapping based on a single QTL model is not optimal for analyzing multiple dynamic trait loci. Despite that composite functional mapping incorporates the effects of genetic background outside the tested QTL in mapping model, the arbitrary choice of background markers also impact on the power of QTL detection. In this study, we proposed Bayesian functional mapping strategy that can simultaneously identify multiple QTL controlling developmental patterns of dynamic traits over the genome. Our proposed method fits the change of each QTL effect with the time by Legendre polynomial and takes the residual covariance structure into account using the first autoregressive equation. Also, Bayesian shrinkage estimation was employed to estimate the model parameters. Especially, we specify the gamma distribution as the prior for the first-order auto-regressive coefficient, which will guarantee the convergence of Bayesian sampling. Simulations showed that the proposed method could accurately estimate the QTL parameters and had a greater statistical power of QTL detection than the composite functional mapping. A real data analysis of leaf age growth in rice is used for the demonstration of our method. It shows that our Bayesian functional mapping can detect more QTLs as compared to composite functional mapping.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3

Similar content being viewed by others

References

  • Gao HJ, Yang RQ (2006) Composite interval mapping of QTL for dynamic traits. Chin Sci Bull 51(15):1857–1862

    Article  Google Scholar 

  • Gianola D, Perez-Enciso M, Toro MA (2003) On marker-assisted prediction of genetic value: beyond the ridge. Genetics 163(1):347–365

    PubMed  CAS  Google Scholar 

  • Giraldo J (2003) Empirical models and Hill coefficients. Trends Pharmacol Sci 24(2):63–65

    Article  PubMed  CAS  Google Scholar 

  • Henderson CR Jr (1982) Analysis of covariance in the mixed model: higher-level, nonhomogeneous, and random regressions. Biometrics 38(3):623–640

    Article  PubMed  Google Scholar 

  • Jansen RC, Stam P (1994) High resolution of quantitative traits into multiple loci via interval mapping. Genetics 136(4):1447–1455

    PubMed  CAS  Google Scholar 

  • Kirkpatrick M, Heckman N (1989) A quantitative genetic model for growth, shape, reaction norms, and other infinite-dimensional characters. J Math Biol 27(4):429–450

    Article  PubMed  CAS  Google Scholar 

  • Kirkpatrick M, Lofsvold D, Bulmer M (1990) Analysis of the inheritance, selection and evolution of growth trajectories. Genetics 124(4):979–993

    PubMed  CAS  Google Scholar 

  • Lander ES, Botstein D (1989) Mapping Mendelian factors underlying quantitative traits using RFLP linkage maps. Genetics 121(1):185–199

    PubMed  CAS  Google Scholar 

  • Ma CX, Casella G, Wu R (2002) Functional mapping of quantitative trait loci underlying the character process: a theoretical framework. Genetics 161(4):1751–1762

    PubMed  Google Scholar 

  • Macgregor S, Knott SA, White I, Visscher PM (2005) Quantitative trait locus analysis of longitudinal quantitative trait data in complex pedigrees. Genetics 171(3):1365–1376

    Article  PubMed  CAS  Google Scholar 

  • Perelson AS, Neumann AU, Markowitz M, Leonard JM, Ho DD (1996) HIV-1 dynamics in vivo: virion clearance rate, infected cell life-span, and viral generation time. Science 271(5255):1582–1586

    Article  PubMed  CAS  Google Scholar 

  • Schaeffer LR (2004) Application of random regression models in animal breeding. Livest Prod Sci 86(3):35–45

    Article  Google Scholar 

  • Sen S, Churchill GA (2001) A statistical framework for quantitative trait mapping. Genetics 159(1):371–387

    PubMed  CAS  Google Scholar 

  • Sillanpää MJ, Arjas E (1998) Bayesian mapping of multiple quantitative trait loci from incomplete inbred line cross data. Genetics 148(3):1373–1388

    PubMed  Google Scholar 

  • Sillanpää MJ, Arjas E (1999) Bayesian mapping of multiple quantitative trait loci from incomplete outbred offspring data. Genetics 151(4):1605–1619

    PubMed  Google Scholar 

  • Tobalske BW, Hedrick TL, Dial KP, Biewener AA (2003) Comparative power curves in bird flight. Nature 421(6921):363–366

    Article  PubMed  CAS  Google Scholar 

  • Wang H, Zhang YM, Li X, Masinde GL, Mohan S, Baylink DJ, Xu S (2005) Bayesian shrinkage estimation of quantitative trait loci parameters. Genetics 170(1):465–480

    Article  PubMed  CAS  Google Scholar 

  • Weng QM, Wu WR, Li WM, Liu HQ, Tang DZ, Zhou YC, Zhang QF (2000) Construction of an RFLP linkage map of rice using DNA probes from two different sources. J Fujian Agric Univ 29(2):129–133

    Google Scholar 

  • Wu R, Ma CX, Littell RC, Wu SS, Yin T, Huang M, Wang M, Casella G (2002) A logistic mixture model for characterizing genetic determinants causing differentiation in growth trajectories. Genet Res 79(3):235–245

    Article  PubMed  Google Scholar 

  • Wu R, Ma CX, Zhao W, Casella G (2003) Functional mapping for quantitative trait loci governing growth rates: a parametric model. Physiol Genomics 14(3):241–249

    PubMed  CAS  Google Scholar 

  • Wu R, Ma CX, Lin M, Casella G (2004a) A general framework for analyzing the genetic architecture of developmental characteristics. Genetics 166(3):1541–1551

    Article  PubMed  CAS  Google Scholar 

  • Wu RL, Ma CX, Lin M, Wang ZH, George C (2004b) Functional mapping of quantitative trait loci underlying growth trajectories using a transform-both-sides logistic model. Biometrics 60(4):729–738

    Article  PubMed  Google Scholar 

  • Xu S (2007) Derivation of the shrinkage estimates of quantitative trait locus effects. Genetics 177(2):1255–1258

    Article  PubMed  Google Scholar 

  • Yang R, Xu S (2007) Bayesian shrinkage analysis of quantitative trait loci for dynamic traits. Genetics 176(2):1169–1185

    Article  PubMed  CAS  Google Scholar 

  • Yang R, Tian Q, Xu S (2006) Mapping quantitative trait loci for longitudinal traits in line crosses. Genetics 173(4):2339–2356

    Article  PubMed  CAS  Google Scholar 

  • Yang R, Gao H, Wang X, Zhang J, Zeng ZB, Wu R (2007) A semiparametric approach for composite functional mapping of dynamic quantitative traits. Genetics 177(3):1859–1870

    Article  PubMed  Google Scholar 

  • Yi N, Xu S (2000a) Bayesian mapping of quantitative trait loci for complex binary traits. Genetics 155(3):1391–1403

    PubMed  CAS  Google Scholar 

  • Yi N, Xu S (2000b) Bayesian mapping of quantitative trait loci under the identity-by-descent-based variance component model. Genetics 156(1):411–422

    PubMed  CAS  Google Scholar 

  • Yi N, George V, Allison DB (2003a) Stochastic search variable selection for identifying multiple quantitative trait loci. Genetics 164(3):1129–1138

    PubMed  CAS  Google Scholar 

  • Yi N, Xu S, Allison DB (2003b) Bayesian model choice and search strategies for mapping interacting quantitative trait loci. Genetics 165(2):867–883

    PubMed  CAS  Google Scholar 

  • Yi N, Yandell BS, Churchill GA, Allison DB, Eisen EJ, Pomp D (2005) Bayesian model selection for genome-wide epistatic quantitative trait loci analysis. Genetics 170(3):1333–1344

    Article  PubMed  CAS  Google Scholar 

  • Zeng ZB (1994) Precision mapping of quantitative trait loci. Genetics 136(4):1457–1468

    PubMed  CAS  Google Scholar 

  • Zhang YM, Xu S (2005) Advanced statistical methods for detecting multiple quantitative trait loci. Recent Res Devel Genet Breed 2(1):1–23

    Google Scholar 

  • Zhao W, Chen YQ, Casella G, Cheverud JM, Wu R (2005) A non-stationary model for functional mapping of complex traits. Bioinformatics 21(10):2469–2477

    Article  PubMed  CAS  Google Scholar 

  • Zhou Y, Li W, Wu W, Chen Q, Mao D, Worland J (2001) Genetic dissection of heading time and its components in rice. Theor Appl Genet 102(8):1236–1242

    Article  CAS  Google Scholar 

Download references

Acknowledgments

This work was partially supported by the National Natural Science Foundation of China (30972077).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Runqing Yang.

Additional information

Communicated by F. van Eeuwijk.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Yang, R., Li, J., Wang, X. et al. Bayesian functional mapping of dynamic quantitative traits. Theor Appl Genet 123, 483–492 (2011). https://doi.org/10.1007/s00122-011-1601-0

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00122-011-1601-0

Keywords

Navigation