Estimation of combining ability and heterosis
The analysis of variance revealed that mean sum of squares due to GCA and SCA effects were highly significant indicating that both additive and non-additive gene action are involved in governing inheritance of seed yield (Table 1). The 𝛔
2 SCA were found to be higher than 𝛔
2 GCA, indicating preponderance of non-additive gene effects. The presence of non-additive gene effects indicated that heterosis breeding will be rewarding in increasing seed yield.
Phad et al., (2007) also reported that dominance gene effect was involved in controlling seed yield. The results of heterosis estimation revealed that hybrid Paras × PA 624 showed maximum MPH, BPH and SH of 227.71%, 183.33% and 175.68% respectively (Table 2).
Estimation of genetic diversity
The analysis of genetic diversity revealed presence of four different clusters (Table 3). The cluster I showed maximum mean for plant height (232.5), number of secondary branches (15.1), number of pods/plant (211.6) and seed yield/plant (52.1) hence the genotypes in this cluster can be used as donors for these traits. The cluster II was found to be the earliest maturing cluster (126.5) with highest number of primary branches (14.0). The cluster III was found had highest mean for pod length (5.2), number of seed per pods (4.5) and 100 seed weight (9.2).
Relationship between different parameters and heterosis
The MPH, BPH and SH were found to be perfectly positively correlated with each other (Table 4). The SCA effects were found to be positively and significantly correlated with the MPH (r=0.899**), BPH (r=0.918**) and SH (r=0.939**) respectively (Table 4). The significant linear regression of SCA effects and very high R
2 value further revealed that SCA was good determinant of heterosis (Fig 1). The regression analysis of SCA effects on heterosis indicated that 80.90%, 84.34%, 88.17% variation in MPH, BPH and SH is due to SCA (Fig 1). A critical analysis of Table 5 indicated that out of the 45 hybrids, 42 hybrids exhibited significant MPH, BPH and SH. Out of these 42 heterotic hybrids, 21 hybrids exhibited good SCA, 13 hybrids exhibited poor SCA and 8 hybrids exhibited average SCA effects. A critical analysis of Table 6 indicated that good SCA effects showed highest heterotic frequency (50.00%) followed by poor SCA (30.95%) and average SCA (19.05%) effects. These results clearly indicated that highest frequency of hybrids (50%) was reported in case of crosses having good SCA. The results indicated that SCA is the most important factor for determination of heterosis and is supported by
Pandey et al., (2015). The MGCA effects were found to be positively and significantly correlated with MPH (r=0.504**), BPH (r=0.526**) and SH (r=0.532**) respectively. The significant linear regression of MGCA on MPH, BPH and SH and high R
2 value revealed that MGCA was also a good determinant of heterosis (Fig 2). The regression analysis of MGCA effects on heterosis indicated that 25.41%, 27.73% and 28.38%, variation in MPH, BPH and SH is due to MGCA effects. The highest heterotic frequency (47.62%) was observed by crossing parents having good × poor combination while the poor × poor (7.15%) combination showed the least heterotic frequency. The good × good parental combination produce (23.81%) heterotic frequency. These results indicated that if the parents had good × poor GCA effects than it results in high heterotic frequency, however, the parents having good × good GCA effects produces a moderate level of heterotic hybrids. In present study, the mean GCA of both parents (MGCA) also emerged as another important factor which can be used in predicting the heterosis. The present study revealed that the GCA effects of parental lines have potential application in hybrid development programmes and supported the findings of
Fan et al., (2014). The SCA and MGCA emerged as the independent parameters in present study since they exhibited poor relationship (r=0.209). The parental mean (PM), was found to be negatively and non-significantly correlated with the better parent (r=-0.250) and standard heterosis (r=-0.112), however with the mid parent heterosis (r=-0.387**) it was negatively and significantly correlated. The linear regressions of PM on heterosis were also found to be non-significant. These results suggested that parental mean was not a reliable criteria to predict heterosis. The highest frequency of heterotic hybrids (59.52%) was reported when parents having high and low mean were crossed
i.e. high × low combination. The negligible correlation of parental mean with all the other studied parameters further indicated that the parental mean had not exhibited any role in determination of heterosis, combining ability, genetic diversity as well as
per se performance of the hybrids in pigeonpea. Hence the parental mean cannot be used as sole determinant of heterosis as well as parental selection for hybridization. These results supported the earlier findings of
Hallauer, (1990);
Lee et al., (2007) in maize. The genetic distance (GD) was found to be negatively and non- significantly correlated with MPH (r=-0.010), BPH (r=-0.003) while it was positively and non-significantly correlated with SH (r=0.006). The linear regressions of GD on heterosis were found to be non-significant. The highest frequency of heterotic hybrids were produced when parents having moderate amount of diversity were crossed (83.33%) while the parents having high level of genetic diversity results in very less frequency of heterotic hybrids (14.29%) and the least frequency (2.38 %) was showed by parents belonging to low diversity class parents.