1977
DOI: 10.1007/978-94-009-5787-9
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Introduction to Biometrical Genetics

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Cited by 329 publications
(260 citation statements)
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“…Total phenotypic variance is defined by the equation V P ϭ a 2 ϩ d 2 ϩ c 2 ϩ e 2 ϭ 1, where genotypic effects (h) comprise a and any effects of d. Additive genetic influences are those in which the total genetic effect is simply the sum of effects at individual loci, with no interaction. Nonadditive genetic effects comprise dominance, which involves allelic interaction, and epistasis, which involves nonallelic interaction between genes at different loci on one or more chromosomes (45). Genetic nonadditivity and shared environment are completely confounded in data on twin pairs reared together (43, 44, 46 -48), and only one of them can be estimated.…”
Section: Discussionmentioning
confidence: 99%
“…Total phenotypic variance is defined by the equation V P ϭ a 2 ϩ d 2 ϩ c 2 ϩ e 2 ϭ 1, where genotypic effects (h) comprise a and any effects of d. Additive genetic influences are those in which the total genetic effect is simply the sum of effects at individual loci, with no interaction. Nonadditive genetic effects comprise dominance, which involves allelic interaction, and epistasis, which involves nonallelic interaction between genes at different loci on one or more chromosomes (45). Genetic nonadditivity and shared environment are completely confounded in data on twin pairs reared together (43, 44, 46 -48), and only one of them can be estimated.…”
Section: Discussionmentioning
confidence: 99%
“…In the complete model (m, a, d, aa, ad, dd), the parameters were estimated by the method of ordinary least squares. In the additive-dominant model (m, a, d), the parameters were estimated by the weighted least squares method proposed by Mather & Jinks (1982). The adequacy of complete and additive-dominant model was evaluated using the coefficient of determination (R 2 ), which expresses the degree of similarities of the estimates between the estimated values and the observed ones.…”
Section: Methodsmentioning
confidence: 99%
“…If the goal of the breeding program is to develop superior inbred lines, the magnitude and sign of additive effects and additive x additive effects need to be evaluated. When the goal is to develop a hybrid, it is necessary to perform analysis of contributions of genetic effects of dominance, dominance x dominance, additive x dominance, selecting for heterosis in the desired direction, with greater heterosis expected when such effects are predominantly directional (Mather & Jinks, 1982;Marame et al, 2009a).…”
Section: Palavras-chavementioning
confidence: 99%
“…Environmental variance (σ 2 E ) was estimated as the geometric mean of the variances of P 1 , P 2 and F 1 generations. Genetic variance (σˆ 2 G ), and its additive (σˆ 2 A ) and dominance (σˆ 2 D ) components, as well as broad sense heritability (H 2 ) were estimated (Mather and Jinks 1977). Generation mean analysis was carried out based on the data by the weighted least squares method (Mather and Jinks 1977), in order to test the fitness of a simple additive-dominant model, and to estimate the mean degree of dominance (MDD).…”
Section: Methodsmentioning
confidence: 99%
“…Based on the means and variances components (Mather and Jinks 1977), data were subjected to a normal distribution, as follows: Tests using maximum likelihood were made via LR (Gonçalves et al 2004):…”
Section: Methodsmentioning
confidence: 99%