Animal Breeding Notes

 

Mauricio A. Elzo

Department of Animal Sciences

University of Florida

Gainesville, FL 32611-0910

Tel: 1-352-392-7564; Email: elzo@animal.ufl.edu

 

 

Unibreed

·        CHAPTER 01: Definitions and Elementary Matrix Operations.

·        CHAPTER 02: Linear Dependence, Matrix Inverses, and Linear Equations.

·        CHAPTER 03: Eigenvalues, Eigenvectors, and Diagonalization of a Square Matrix.

·        CHAPTER 04: Definite Matrices.

·        CHAPTER 05: Differential Calculus in Matrix Notation.

·        CHAPTER 06: Distribution Functions of Random Variables.

·        CHAPTER 07: Expectation and Covariances of Random Variables and Random Vectors.

·        CHAPTER 08: Best Prediction.

·        CHAPTER 09: Best Linear Prediction.

·        CHAPTER 10: Best Linear Unbiased Prediction.

·        CHAPTER 11: The Mixed Linear Model.

·        CHAPTER 12: Estimation, Estimability And Solving The Mixed Model Equations When They Are Not Full-Rank.

·        CHAPTER 13: Genetic Covariances Between Individuals.

·        CHAPTER 14: The Matrix Of Additive Relationships And Its Inverse.

·        CHAPTER 15: Sire-Maternal Grandsire Approximation To The Matrix Of Additive Relationships And Its Inverse.

·        CHAPTER 16: Animal And Reduced Animal Models.

·        CHAPTER 17: Approximations To The Animal Model.

·        CHAPTER 18: Repeatability Models.

·        CHAPTER 19: Direct And Maternal Genetic Effects Models.

·        CHAPTER 20: Additive Genetic Group Models.

·        CHAPTER 21: Multiple Trait Models.

 

Multibreed

·        CHAPTER 14M – PART 2: Breeding Value Of An Animal For A Single Trait In A Multibreed Population.

·        CHAPTER 16M: Multibreed Animal Model.

a.     SAS IML Program

b.     SAS IML Output

·        CHAPTER 16M EQVE: Multibreed Animal Model With Equal Residual Variances.

a.     SAS IML Program

b.     SAS IML Output

·        CHAPTER 16M EQVE EQVA: Multibreed Animal Model With Equal Residual Variances And Equal Additive Genetic Variances.

a.     SAS IML Program

b.     SAS IML Output

·        CHAPTER 16M EQVE EQVA FXNA: Multibreed Animal Model With Equal Residual Variances, Equal Additive Genetic Variances, And No Random Nonadditive Genetic Effects.

a.     SAS IML Program

b.     SAS IML Output