, Volume 138, Issue 8, pp 853–860 | Cite as

Mapping genome-wide QTL of ratio traits with Bayesian shrinkage analysis for its component traits

Original Research


The ratio trait is defined as a ratio of two regular quantitative traits with normal distribution, which is distinguished from regular quantitative traits in the genetic analysis because it does not follow the normal distribution. On the basis of maximum likelihood method that uses a special linear combination of the two component traits, we develop a Bayesian mapping strategy for ratio traits, which firstly analyzes the two component traits by Bayesian shrinkage method, and then generates a new posterior sample of genetic effects for a ratio trait from ones of population means and genetic effects for the two component traits, finally, infers QTL for the ratio trait via post MCMC analysis for the new posterior sample. A simulation study demonstrates that the new method has higher detecting power of the QTL than maximum likelihood method. An application is illustrated to map genome-wide QTL for relative growth rate of height on soybean.


Ratio trait QTL Bayesian shrinkage Relative growth rate 



The research was supported by the Chinese National Natural Science Foundation Grant 30972077 to RY.


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Copyright information

© Springer Science+Business Media B.V. 2010

Authors and Affiliations

  1. 1.College of Animal Science and Veterinary MedicineHeilongjiang Bayi Agricultural UniversityDaqingPeople’s Republic of China
  2. 2.School of Agriculture and BiologyShanghai Jiaotong UniversityShanghaiChina
  3. 3.Department of BiologyNorthwest University, National Engineering Research Center for Miniaturized Detection SystemXi’anPeople’s Republic of China
  4. 4.Agricultural CollegeNortheast Agricultural UniversityHarbinPeople’s Republic of China

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