Comparison Between Linear and Non-parametric Regression Models for Genome-Enabled Prediction in Wheat

  • Paulino Pérez-Rodríguez
    Colegio de Postgraduados, Montecillo, Texcoco 56230, México
  • Daniel Gianola
    Departments of Animal Sciences, Dairy Science, and Biostatistics and Medical Informatics, University of Wisconsin-Madison, Madison, Wisconsin 53706
  • Juan Manuel González-Camacho
    Colegio de Postgraduados, Montecillo, Texcoco 56230, México
  • José Crossa
    Biometrics and Statistics Unit and Global Wheat Program, International Maize and Wheat Improvement Center (CIMMYT), 06600 Mexico, D.F., México
  • Yann Manès
    Biometrics and Statistics Unit and Global Wheat Program, International Maize and Wheat Improvement Center (CIMMYT), 06600 Mexico, D.F., México
  • Susanne Dreisigacker
    Biometrics and Statistics Unit and Global Wheat Program, International Maize and Wheat Improvement Center (CIMMYT), 06600 Mexico, D.F., México

抄録

<jats:title>Abstract</jats:title><jats:p>In genome-enabled prediction, parametric, semi-parametric, and non-parametric regression models have been used. This study assessed the predictive ability of linear and non-linear models using dense molecular markers. The linear models were linear on marker effects and included the Bayesian LASSO, Bayesian ridge regression, Bayes A, and Bayes B. The non-linear models (this refers to non-linearity on markers) were reproducing kernel Hilbert space (RKHS) regression, Bayesian regularized neural networks (BRNN), and radial basis function neural networks (RBFNN). These statistical models were compared using 306 elite wheat lines from CIMMYT genotyped with 1717 diversity array technology (DArT) markers and two traits, days to heading (DTH) and grain yield (GY), measured in each of 12 environments. It was found that the three non-linear models had better overall prediction accuracy than the linear regression specification. Results showed a consistent superiority of RKHS and RBFNN over the Bayesian LASSO, Bayesian ridge regression, Bayes A, and Bayes B models.</jats:p>

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