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Estimation of genetic parameters in the analysis of square lattice experiment group

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Author(s): VIANA JOSÉ MARCELO SORIANO | REGAZZI ADAIR JOSÉ

Journal: Bragantia
ISSN 0006-8705

Volume: 58;
Issue: 1;
Start page: 195;
Date: 1999;
Original page

Keywords: quantitative genetics | genetic parameters | variance components | covariance components | joint analysis | square lattice

ABSTRACT
Aiming to demonstrate how to obtain unbiased estimates of genetic parameters of base populations, unaffected by genotype x environment effects, this paper presents the variance and covariance components of the intra-block analysis of a group of square lattice experiments and the estimators of the components associated to treatment effect. Random model and mixed models with environment effect fixed and other effects random are considered. In the analysis with treatments not corrected for blocks/replications/environments, the estimators of the variance and covariance components due to treatment effect are different from those of the analysis considering the complete block model. Data from two experiments of a breeding program of Eucalyptus pyrocarpa were used for genetic analysis. The analysis of variance of height and diameter indicated absence of interaction between progeny and environment. Due to this result, the prediction of the direct and indirect genetic gains was based on the mean of the two environments. The high estimates of narrow sense heritabilities and additive genetic correlation indicate that selection of the superior families will be effective in changing the means of the base population for both traits.
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