TY  - BP
AU  - Ceron Rojas,J.J.
AU  - Crossa,J.
TI  - Chapter 2. The linear phenotypic selection index theory
PY  - 2018///.
CY  - Switzerland : 
PB  - Springer, 
KW  - AGROVOC
KW  - Phenotypic variation
KW  - Genetic gain
KW  - Selection criteria
N1  - Open Access
N2  - The main distinction in the linear phenotypic selection index (LPSI) theory is between the net genetic merit and the LPSI. The net genetic merit is a linear combination of the true unobservable breeding values of the traits weighted by their respective economic values, whereas the LPSI is a linear combination of several observable and optimally weighted phenotypic trait values. It is assumed that the net genetic merit and the LPSI have bivariate normal distribution; thus, the regression of the net genetic merit on the LPSI is linear. The aims of the LPSI theory are to predict the net genetic merit, maximize the selection response and the expected genetic gains per trait (or multi-trait selection response), and provide the breeder with an objective rule for evaluating and selecting parents for the next selection cycle based on several traits. The selection response is the mean of the progeny of the selected parents, whereas the expected genetic gain per trait, or multi-trait selection response, is the population means of each trait under selection of the progeny of the selected parents. The LPSI allows extra merit in one trait to offset slight defects in another; thus, with its use, individuals with very high merit in one trait are saved for breeding even when they are slightly inferior in other traits. This chapter describes the LPSI theory and practice. We illustrate the theoretical results of the LPSI using real and simulated data. We end this chapter with a brief description of the quadratic selection index and its relationship with the LPSI
UR  - https://repository.cimmyt.org/handle/10883/19801
DO  - https://doi.org/10.1007/978-3-319-91223-3_2
T2  - Linear selection indices in modern plant breeding
ER  -