Bayesian methods, where [p.sub.i] and [q.sub.i] were the allelic frequencies, and [mathematical expression not reproducible] was the additive genetic variance of the ith marker; (ii) the predictive ability ([r.sub.[??],y]) of the method consisted of the correlation between the estimated genomic value and the phenotypic value
; (iii) the regression coefficient between the estimated genomic value and the phenotypic value
was given by [mathematical expression not reproducible]; (iv) the predictive ability, [r.sub.I,y], consisted of correlation of the genomic value estimated by index and phenotypic value
; and (v) the regression coefficient was between estimated genomic value via index and phenotypic value
given by [[??].sub.I,y].
Table 1: Phenotypic value
of 120 CNDH lines and parental 'Cheongcheong/Nagdong' for WBPH resistance
The additive/dominant model was used to generate the genotypic value of each individual, and a simulated environmental effect was added assuming normal distribution with a mean of zero, and the variance ([[sigma].sup.2]) provided the phenotypic value
submitted to analyses.
During seven years the total genotypic value corresponded to 550.82kg x [ha.sup.-1], and to 78.68 kg ha-1 in average, while the total phenotypic value
was 16.176kg x [ha.sup.-1], or 2310kg ha-1 on average for the seven years (Table III).
Thus, it measures the reliability of the phenotypic value
as an indicator of the genotypic value (Ramalho et al., 1993).
For small and isolated populations, genetic drift or mating between relatives may increase homozygosity, and then results in a reduction of the mean phenotypic value
of traits associated with fitness, such as inbreeding depression (Charlesworth & Charlesworth 1987, Falconer & Mackay 1996).
Based on the method of principal components obtained from the correlation matrix, and considering a value of [R.sup.2] of 90%, 4 years of successive harvests to assess the phenotypic value
of the progenies would be necessary.
where p is the phenotypic value
of macro- or microenvironmental plasticity; g and r are the genotypic and replicate contributions to p, respectively; and [Xi] is the parameter characterizing the strength of genotype X replicate interaction: there is no interaction if [Xi] = 0, whereas larger values of [Xi] indicate more multiplicative interaction.
(2) The method to generate individual phenotypic value
in non-basic group was similar with that of basic group.
The most important function of the heritability of metric characters is its predictive role, expressing the reliability of the phenotypic value
as guide to the breeding value (Falconer and Mackay,1996).
The results corroborate this premise, since in the present work it was observed that the environmental effect is the main responsible for the change in the phenotypic value
. Therefore, the genotypes that potentiated the effects of their interaction with the cultivation environment were the most promising.
where, FC = average phenotypic value
of the reciprocal crosses, P = average phenotypic value
of two parental populations.