Original Article

Heredity (2008) 101, 321–328; doi:10.1038/hdy.2008.53; published online 9 July 2008

A nonlinear mixed-effect mixture model for functional mapping of dynamic traits

W Hou1, H Li1, B Zhang2, M Huang2 and R Wu1,2,3

  1. 1Department of Statistics, University of Florida, Gainesville, FL, USA
  2. 2The Key Laboratory of Forest Genetics and Gene Engineering, Nanjing Forestry University, Nanjing, Jiangsu, People's Republic of China
  3. 3UF Genetics Institute, University of Florida, Gainesville, FL, USA

Correspondence: Professor R Wu, Department of Statistics, University of Florida, Gainesville, FL 32611, USA. E-mail: rwu@stat.ufl.edu

Received 10 March 2008; Revised 25 April 2008; Accepted 30 April 2008; Published online 9 July 2008.

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Abstract

Functional mapping has emerged as a next-generation statistical tool for mapping quantitative trait loci (QTL) that affect complex dynamic traits. In this article, we incorporated the idea of nonlinear mixed-effect (NLME) models into the mixture-based framework of functional mapping, aimed to generalize the spectrum of applications for functional mapping. NLME-based functional mapping, implemented with the linearization algorithm based on the first-order Taylor expansion, can provide reasonable estimates of QTL genotypic-specific curve parameters (fixed effect) and the between-individual variation of these parameters (random effect). Results from simulation studies suggest that the NLME-based model is more general than traditional functional mapping. The new model can be useful for the identification of the ontogenetic patterns of QTL genetic effects during time course.

Keywords:

mixture model, nonlinear mixed-effect model, growth trajectories, QTL mapping, poplar

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