caa a22 4500 445845007 CHVBK 20180317145356.0 cr unu---uuuuu 170323e20110901xx s 000 0 eng 10.1007/s10709-011-9614-9 doi (NATIONALLICENCE)springer-10.1007/s10709-011-9614-9 Multiallelic models of genetic effects and variance decomposition in non-equilibrium populations [Elektronische Daten] [José Álvarez-Castro, Rong-Cai Yang] Quantitative genetics stems from the theoretical models of genetic effects, which are re-parameterizations of the genotypic values into parameters of biological (genetic) relevance. Different formulations of genetic effects are adequate to address different subjects. We thus need to generalize and unify them under a common framework for enabling researchers to easily transform genetic effects between different biological meanings. The Natural and Orthogonal Interactions (NOIA) model of genetic effects has been developed to achieve this aim. Here, we further implement the statistical formulation of NOIA with multiple alleles under Hardy-Weinberg departures (HWD). We show that our developments are straightforwardly connected to the decomposition of the genetic variance and we point out several emergent properties of multiallelic quantitative genetic models, as compared to the biallelic ones. Further, NOIA entails a natural extension of one-locus developments to multiple epistatic loci under linkage equilibrium. Therefore, we present an extension of the orthogonal decomposition of the genetic variance to multiple epistatic, multiallelic loci under HWD. We illustrate this theory with a graphical interpretation and an analysis of published data on the human acid phosphatase (ACP1) polymorphism. The Author(s), 2011 Models of genetic effects nationallicence Hardy-Weinberg disequilibrium nationallicence Multiple alleles nationallicence Variance decomposition nationallicence Acid phosphatase polymorphism nationallicence Álvarez-Castro José Department of Genetics, University of Santiago de Compostela, Avda. Carvalho Calero s/n, 27002, Lugo, Galiza, Spain aut Yang Rong-Cai Research and Innovation Division, Alberta Agriculture and Rural Development, T6H 5T6, Edmonton, AB, Canada aut Genetica Springer Netherlands 139/9(2011-09-01), 1119-1134 0016-6707 139:9<1119 2011 139 10709 https://doi.org/10.1007/s10709-011-9614-9 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10709-011-9614-9 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Álvarez-Castro José Department of Genetics, University of Santiago de Compostela, Avda. Carvalho Calero s/n, 27002, Lugo, Galiza, Spain aut NATIONALLICENCE 700 1- Yang Rong-Cai Research and Innovation Division, Alberta Agriculture and Rural Development, T6H 5T6, Edmonton, AB, Canada aut NATIONALLICENCE 773 0- Genetica Springer Netherlands 139/9(2011-09-01), 1119-1134 0016-6707 139:9<1119 2011 139 10709 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer