The mean values with standard errors of YMD scores pertaining to the six generations belonging to the four crosses are presented in the Table 1. None of the F
1s had better disease score than the respective parents and all the four F
1s recorded similar score as that of the resistant parent (P
2) indicating the oligogenic nature of the trait. The oligogenic nature of YMD is in accordance with previously published results
[Mahalingam et al., (2018) and
Sudha et al., (2013)]. None of the F
2s are better than the F
1s and had inbreeding depression, indicating the probable operation of dominance type of gene action for YMD inheritance. However, actual gene action will be revealed after performing the generation mean analysis.
It is pertinent from the means of other traits (Table 1) that the F1s of all the four crosses with respect to seeds per pod, plant height, clusters per plant and pod length were intermediate between the parents. Similarly; one cross (MGG 385 × LGG 607) for branches per plant; one cross (MGG 385 × LGG 630) for days to maturity; three crosses (MGG 385 × LGG 607, MGG 385 × WGG 42 and MGG 385 × PM 5) for pods per plant; three crosses (MGG 385 × LGG 607, MGG 385 × LGG 630 and MGG 385 × WGG 42) for test weight and; two crosses ((MGG 385 × LGG 607 and MGG 385 × WGG 42) for days to 50% flowering also had intermediate F
1s values indicating the quantitative nature of inheritance of these traits in the mentioned crosses. The F
1s of three crosses (MGG 385 × LGG 630, MGG 385 × WGG 42 and MGG 385 × PM 5) for branches per plant; three crosses (MGG 385 × LGG 607, MGG 385 × WGG 42 and MGG 385 × PM 5) for days to maturity; all four crosses for pods per plant; one cross (MGG 385 × PM 5) for test weight and; two crosses (MGG 385 × LGG 630 and MGG 385 × WGG 42) for yield per plant had superior F
1s than the respective parent with less F
2 means indicating the probable operation of dominance for these traits in these crosses. However, exact gene action can be understood only after examining the results of generation mean analysis.
Gene effects of yellow mosaic disease (YMD)
There was significant deviation from ‘zero’ for at least one of the scaling tests and significantly deviated from Chi-square table values in joint scaling test (Table 2) in all the four crosses for YMD. This indicate the inadequacy of additive-dominant model and suggests the involvement of inter-allelic interactions
viz., [
i], [
j] and [
l] in the inheritance of this trait. The component means (Table 3) derived from generation mean analysis revealed; positive and significant [
m] component, [
d] components and [
h] components for all the four crosses.
The estimates of dominant × dominant [
l] gene effects are significant and higher in magnitude than that of both additive × additive [
i] and additive [
d] estimates in all the four crosses indicating the operation of dominant × dominant [
l] type of non-allelic interactions in the inheritance of this character. Though, additive and additive × additive gene (in one cross) effects are significant along with additive × dominant effects, dominant × dominant gene effects overpower them because of their higher magnitude of estimates. Operation of such dominant × dominant gene action for this character was reported by
Narasimhulu et al., (2018). Further these crosses also had significant [
l] and [
h] estimates with opposite signs (Table 3) indicating the operation of duplicate type of epistasis. Such duplicate type of epistasis for this trait was earlier observed by
Narasimhulu et al., (2018). This duplicate epistasis hinders the improvement through selection and also act as limitation for exploitation of higher magnitudes of dominance and dominance × dominance gene effects. In presence of such dominant × dominant type of inter-allelic interaction with duplicate type of epistasis, population approach in self-pollinated crops proposed by
Palmer (1953) which is similar to recurrent selection in cross pollinated crops or biparental mating followed by conventional selection in the later generations should be adopted for identifying desirable segregants.
Gene effects of other yield related traits
Generation mean analysis of yield and yield related traits except YMD, indicate that additive-dominant model is adequate only for two traits
viz., number of branches per plant and pods per cluster. All other nine traits
viz., days to 50% flowering, plant height, days to maturity, clusters per plant, pods per plant, pod length, seeds per pod, test weight and grain yield per plant had significance for one or more scaling tests and also had significant Chi-square values of joint scaling tests (Table 2). This clearly indicate the inadequacy of additive-dominant model in explaining the inheritance in these traits. Hence, the estimates of inter-allelic or non-allelic gene effects were obtained (Table 3) using six parameter model of generation mean analysis. In spite of having significant additive [
d] and dominance [
h] components, the non-allelic interaction overpowered them due to their higher estimates hence, had a great role in the inheritance of these twelve traits.
The trait wise observations of inter-allelic interactions (Table 3) indicate that, dominant × dominant [
l] type of gene effects are found to control the inheritance of days to maturity in all the four crosses. In case of plant height, two (MGG 385 × LGG 607 and MGG 385 × WGG 42) of the crosses, dominant × dominant [
l] type of gene effects are found to be important and in the remaining two crosses (MGG 385 × LGG 630 and MGG 385 × WGG PM 5), the inheritance is under control of additive × additive [
i] gene effects. The inheritance of days to maturity in all the four crosses is under the control of [
l] type of inter-allelic interactions. Inheritance of clusters per plant is under the control of [
l] component in two crosses (MGG 385 × LGG 607 and MGG 385 × WGG PM 5) and [
i] component of non-allelic interactions in another two crosses (MGG 385 × LGG 630 and MGG 385 × WGG 42). In case of pods per plant it is evident that the inheritance is under influence of [
l] type of gene effects in all the four crosses.
The inheritance of pod length is determined by dominant × dominant [
l] type of epistasis in three crosses (MGG 385 × LGG 607, MGG 385 × LGG 630 and MGG 385 × PM 5) and by additive × additive [
i] type of epistasis in the remaining one crosses (MGG 385 × WGG 42). The trait, seeds per pod is under control of additive × additive [
i] type of gene effects in all the four crosses. Test weight’s inheritance is under influence of; dominant × dominant [
l] gene effects in one cross (MGG 385 × PM 5); additive × additive [
i] gene effects in one cross (MGG 385 × LGG 630) and; additive × dominant [
j] gene effects in the remaining two crosses (MGG 385 × LGG 607 and MGG 385 × WGG 42). With respect to grain yield per plant, all the four crosses, inheritance is under the control of additive × additive [
i] type of non-allelic interactions. In spite of having significant magnitudes of other gene effects for various traits of different crosses, the above-mentioned gene effects overpowered them due to their higher magnitudes of effects.
Similar results of involvement of non-allelic or inter-allelic interactions in the inheritance of various traits were reported by many scientists
[Khattak et al., (2004), Singh et al., (2006), Alam et al., (2014), Pathak et al., (2015), Singh et al., (2016), Narasimhulu et al., (2018), Yadav et al., (2017) and
Sinha et al., (2020)] in mungbean. The observed differences in the crosses in terms of gene action for the same trait could be attributed to change in gene frequencies and proportion of dominant and recessive genes possessed by the parents involved in the crosses
(Viana et al., 1999). Inadequacy of additive-dominant model for explaining the inheritance of the ten out of twelve traits emphasizes the complex nature of gene effects suggesting that simple selection procedures may not be sufficient to improve the yield and its contributing traits. Further, significant magnitudes with opposite signs of [
h] and [
l] gene effects indicate the operation of duplicate type of epistasis. This control of duplicate type of epistasis in the inheritance is evident at least in few crosses for all the traits (except grain yield per plant) that had inadequacy for additive-dominant model. This duplicate type of epistasis was earlier indicated for various traits by different scientists
[Khattak et al., (2004), Singh et al., (2006), Pathak et al., (2015), Singh et al., (2016), Narasimhulu et al., (2018), Yadav et al., (2017) and
Sinha et al., (2020)]. This duplicate type of epistasis will reduce the variation in F
2 and subsequent generations, consequently hinders the pace of the progress through selection. Therefore, the best strategy to counter this duplicate epistasis in presence of non-allelic interactions is to go for inter-matings in early segregating generations and postpone the selections to the later generations.