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 Mrode is Professor of Quantitative Genetics and Genomics at Scotland's Rural College and Principal Scientist in Quantitative Genetics in Dairy Cattle at the International Livestock Research Institute, Nairobi, Kenya. He has been lecturing on Edinburgh University's Masters course on quantitative genetics and genome analysis since 2005, and has given lectures on mixed linear models and the use of various BLUP models for genetic prediction. His research interests include data modelling and analysis, the incorporation of molecular information in genetic evaluation procedures, the application of innovative approaches for data capture, analysis and feedback and investigating methods for generating alternative and novel phenotypes in small dairy systems in developing countries.