RT Journal Article
T1 Multiallelic models of genetic effects and variance decomposition in non-equilibrium populations
A1 Álvarez Castro, José María
A1 Yang, Rong Cai
K1 Models of genetic effects
K1 Hardy–Weinberg disequilibrium
K1 Multiple alleles
K1 Variance decomposition
K1 Acid phosphatase polymorphism
AB 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
PB Springer
SN 0016-6707
YR 2011
FD 2011
LK http://hdl.handle.net/10347/24268
UL http://hdl.handle.net/10347/24268
LA eng
NO Genetica, volume 139, pages 1119–1134 (2011)
NO JAC acknowledges funding by an “Isidro Parga Pondal” contract from the autonomous administration Xunta de Galicia. This research has been partially supported by projects BFU2009-11988 and BFU2010-20003 form the Spanish Ministry of Science (JAC) and the Natural Sciences and Engineering Research Council of Canada, Grant OGP0183983 (RCY)
DS Minerva
RD 24 abr 2026