Individual narrow-sense heritability
([h.sup.2.sub.a]) was obtained by: [h.sup.2.sub.a] = [[sigma].sup.2.sub.a]/[[sigma].sup.2.sub.a]/[[sigma].sup.2.sub.p] + [[sigma].sup.2.sub.e] where [[sigma].sup.2.sub.a] is the individual additive genetic variance; [[sigma].sup.2.sub.p] the variance of permanent effects and [[sigma].sup.2.sub.e] the residual variance.
High values of broad-sense heritability (h2b) and low to moderate narrow-sense heritability
(h2n) were observed for all investigated characters (Table 9).
A modest but significant narrow-sense heritability
was found for the EQ.
of individuals within families ([h.sup.2.sub.ns]) was determined based on the parent-offspring regression.
Broad-sense heritability ([H.sup.2]b) ranged from 74.50 to 99%, for DFFI, DFF, DFPM, and DNPM, while the narrow-sense heritability
([h.sup.2]n) varied from 73.60% to 99% (Table 2).
The highest estimates in narrow-sense heritability
([h.sup.2.sub.a]) were detected for fruit weight (FW), pulp yield (PY), total yield (YLD), soluble solids content (SSC), and ascorbic acid content (AAC).
Similarly, there is a wide range of variation for narrow-sense heritability
and predicted gain with selection estimates for iron and zinc concentrations in Middle American and Andean common bean seeds (Cichy, Forster, Grafton, & Hosfield, 2005; Jost et al., 2009; Rosa et al., 2010; Mukamuhirwa et al., 2015; Possobom et al., 2015).
It indicates that the narrow-sense heritability
cannot be achieved satisfactorily in complex diseases and traits with a complex inheritance such as human height (Eichler et al., 2010; Yang et al., 2010).
We also used a "family-based" version of this method to estimate the full narrow-sense heritability
, which reflects the additive contributions of all variants, including unmeasured rare variants (Yang et al.
The narrow-sense heritability
is the ratio of additive genetic variance to the total phenotypic variance.
Considering the significance of the variance of genotypes, Hayman method  was used to calculate the trait controlling genetic parameters including additive effect, dominance effect, average dominance degree, number of trait controlling genes, the ratio of the genes having positive and negative effects in parents, broad-sense and narrow-sense heritability
, and graphic analysis.
The change in a population's mean phenotype (in standard deviation units) that is expected in the next generation ([R.sub.[sigma]]) is equal to the product of the variance-standardized selection gradient and the trait's narrow-sense heritability
([R.sub.[sigma]] = [[beta].sub.[sigma]]h2).