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Genomic Prediction of Genotype × Environment Interaction Kernel Regression Models.

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    Genomic selection models using nonlinear Gaussian kernels improve prediction accuracy in wheat and maize. These advanced models, RKHS KA and RKHS EB, outperform traditional methods by better capturing complex genetic interactions.

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    Area of Science:

    • Agricultural Science
    • Genetics
    • Biotechnology

    Background:

    • Genomic selection (GS) is crucial for crop improvement.
    • Genotype × Environment interaction (G × E) significantly impacts breeding success.
    • Modeling G × E, particularly marker × environment (M × E) interactions, is essential for accurate predictions.

    Purpose of the Study:

    • To propose and evaluate two novel nonlinear Gaussian kernel methods for modeling G × E in GS.
    • To compare the performance of these methods (RKHS KA, RKHS EB) against traditional linear kernel approaches (GBLUP).
    • To assess prediction accuracy in single-environment and across-environment analyses for wheat and maize.

    Main Methods:

    • Implementation of reproducing kernel Hilbert space with kernel averaging (RKHS KA).
    • Application of Gaussian kernel with empirical Bayesian bandwidth estimation (RKHS EB).
    • Comparison with single-environment GBLUP and GBLUP-G × E models using wheat and maize datasets.

    Main Results:

    • Both RKHS EB and RKHS KA demonstrated higher prediction accuracy than GBLUP in single-environment analyses.
    • RKHS KA-G × E and RKHS EB-G × E showed substantial superiority (60-68%) over single-environment models for wheat under positive correlations.
    • Gaussian kernel models achieved higher accuracies (up to 17% for wheat, 5-6% for maize) compared to GBLUP-G × E.

    Conclusions:

    • Nonlinear Gaussian kernels (RKHS KA, RKHS EB) offer superior prediction accuracy in GS compared to linear kernels.
    • The flexibility of Gaussian kernels effectively captures complex marker main effects and marker-specific interactions.
    • These advanced models hold significant promise for enhancing crop breeding programs by improving genomic prediction accuracy.