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Linear Models for the Prediction of Animal Breeding Values


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Table of Contents

I: Preface 1: Genetic Evaluation with Different Sources of Records 2: Genetic Covariance Between Relatives 3: Best Linear Unbiased Prediction of Breeding Value: Univariate Models with One Random Effect 4: Best Linear Unbiased Prediction of Breeding Value: Models with Random Environmental Effects 5: Best Linear Unbiased Prediction of Breeding Value: Multivariate Animal Models 6: Methods to Reduce the Dimension of Multivariate Models 7: Maternal Trait Models: Animal and Reduced Animal Models 8: Social Interaction Models 9: Analysis of Longitudinal Data 10: Use of Genetic Markers in Breeding Value Prediction 11: Computation of Genomic Breeding Values and Genomic Selection 12: Non-additive Animal Models 13: Analysis of Ordered Categorical Traits 14: Survival Analysis 15: Estimation of Genetic Parameters 16: Use of Gibbs Sampling in Variance Component Estimation and Breeding Value Prediction 17: Solving Linear Equations Appendix A: Introduction to Matrix Algebra 2 Appendix B: Fast Algorithms for Calculating Inbreeding Based on the L Matrix Appendix C: Appendix C Appendix D: Methods for Obtaining Approximate Reliability for Genetic Evaluations Appendix E: Appendix E Appendix F: Procedure for Computing Deregressed Breeding Values Appendix G: Calculating F, a Matrix of Legendre Polynomials Evaluated at Different Ages or Time Periods

About the Author

Raphael A Mrode is Senior Geneticist, Scottish agricultural College, Penicuik, Scotland, UK

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