This open access book focuses on the linear selection index (LSI) theory and its statistical properties. It addresses the single-stage LSI theory by assuming that economic weights are fixed and known - or fixed, but unknown - to predict the net genetic merit in the phenotypic, marker and genomic context.
J. Jesus Ceron-Rojas and José Crossa HiriartCIMMYT, Biometrics and Statistics Unit, Apdo. Postal 6-641, 06600 Mexico DF, Mexico
General introduction.- The linear phenotypic selection index theory.- Constrained linear phenotypic selection indices.- Constrained linear phenotypic selection indices.- Linear marker and genomic selection indices.- Linear genomic selection indices.- Constrained linear genomic selection indices.- Linear phenotypic eigen selection index methods.- Linear molecular and genomic eigen selection index methods.- Multistage linear selection indices.- Stochastic simulation of four linear phenotypic selection indices.- RIndSel: Selection indices with R.