Generation mean analysis not only provides information regarding nature and magnitude of gene effects but also about the non-allelic interactions operating in the inheritance of quantitative traits. In the present study, the generation mean analysis involving five parameter model was employed to partition the genetic variance into additive, dominance and epistasis, which helps in formulating an effective, and sound breeding programme. The comparative mean performance of F1, F2 and F3 generations of two crosses viz., CO 7 × V2709 and CO 8 × V2709 are given in Table 1. Eight traits recorded from the parental and segregating generations were analysed to assess the gene action involved for the inheritance of the traits. Scaling test (Cavalli, 1952) for C and D, indicated the inadequacy of the simple additive-dominance model in explaining all the traits from the two crosses studied except for plant height in CO 7 × V2709.
Plant height
In case of CO 7 × V2709 (56.81 cm) and CO 8 × V2709 (44.36 cm) the mean of P2 (39.36 cm) was lower than that of the corresponding parent P1 (Table 1). The F1 mean of CO 8 × V2709 (45.06 cm) was higher than the corresponding parental means, whereas the F1 mean (50.43 cm) of CO 7 × V2709 was intermediate between the parents (CO 7 and V2709). The F2 mean of CO 7 × V2709 and CO 8 × V2709 were 48.48 cm and 39.26 cm respectively, which were lower than F1 and found to be intermediate between their respective parents. The F3 mean (46.74 cm) of CO 7 × V2709 was intermediate between the parents but lower than the corresponding F1 and F2 mean. The F3 mean (40.04 cm) of CO 8 × V2709 was intermediate between the parents as well as lower than F1 and higher than F2 of the cross. The scaling test revealed that either or both C and D scales were significant in the cross, CO 8 × V2709
(Table 2). Therefore, it revealed the inadequacy of the simple additive-dominance model in this cross. Hence, the model was extended to study the additive, dominance and epistatic effects. In the cross CO 7 × V2709, absence of epistasis indicated the involvement of additive gene (d) effects alone for plant height. The additive (d) gene effect for plant height was also described by Devendra et al. (2010). Both additive × additive (i) and dominance × dominance (l) interaction were reported by Singh et al. (2016). The two crosses (CO 7 × V2709, CO 8 × V2709) exhibited positive and significant mid parental effect (m) and exhibited significant positive additive gene effect (d). CO 7 × V2709, exhibited opposite and CO 8 × V2709 exhibited same signs of dominance (h) and dominance × dominance (l) suggesting that epistasis was complementary and duplicate type respectively. Both complementary and duplicate type of epistasis was documented by Devendra et al. (2010), whereas duplicate type of epistasis was documented earlier by Pathak et al. (2015). Use of reciprocal recurrent selection has been suggested to improve the characters when both additive and non-additive gene effects are involved.
Days to first flowering
The mean of P1 was 32 days and 28 days in the cross CO 7 × V2709 and CO 8 × V2709 respectively and was also lower than the corresponding P2 (33 days) (Table 1). The F1 mean was intermediate between both the parents in two crosses (CO 7 × V2709 (30 days) and CO 8 × V2709 (27 days)). The F2 mean of two crosses viz., CO 7 × V2709 (32 days) and CO 8 × V2709 (30 days) were intermediate between the respective parents but higher than their F1. The F3 mean (31 days) of CO 7 × V2709 was lower than both the parents and F2, whereas higher than F1. The F3 mean (31 days) of CO 8 × V2709 was intermediate between the parents and higher than F1 and F2 of the cross. In analyzing five genetic parameters both the crosses recorded significant and positive mid parent effect (m) (Table 2). The cross CO 7 × V2709 exhibited significant dominance (h) gene action, whereas in the cross CO 8 × V2709, additive (d) and dominance (h) gene effects were significant and the magnitude of the additive (d) gene action was greater than dominance (h) gene action. This indicated the importance of both additive and dominant type of gene action in the inheritance of days to first flowering. The higher magnitude of additive × additive (i) interaction as compared to dominance × dominance (l) interaction in two crosses (CO7 × V2709, CO 8 × V2709) suggested the predominant role of additive × additive (i) epistasis in the interaction of these two crosses. Both additive × additive (i) and dominance × dominance (l) interactions were reported by Singh et al. (2016). Same signs of dominance (h) and dominance × dominance (l) in CO 8 × V2709 suggested complementary type of epistasis. On contrary, the cross (CO 7 × V2709) showed opposite signs of ‘h’ and ‘l’ suggested that duplicate type of epistasis could also play a role in expression of days to first flowering. Duplicate type of epistasis for days to first flowering was also reported by Singh et al. (2016).
Days to fifty per cent flowering
The mean of P1 in two crosses viz., CO 7 × V2709 (36 days) and CO 8 × V2709 (33 days) were lower than their corresponding P2 (37 days) (Table 1). The F1 mean 36 days of CO 7 × V2709 was the same as P1 and lower than P2. The F1 mean of the cross CO 8 × V2709 (32 days) were lower than their respective parents. The F2 mean (37 days) CO 7 × V2709 were inclined towards the respective P2 (37 days). The F2 mean (35 days) of CO 8 × V2709 was intermediate between P1 (33 days) and P2 (37 days) and higher than F1. The F3 mean
(36 days) of CO 7 × V2709 was similar to P1 and F1 whereas lower than P2 and F2. The F3 mean of CO 8 × V2709 (35 days) were similar to their corresponding F2. The mid-parental value (m) was significant and positive in all the four cross combinations (Table 2). The additive (d) and dominance (h) gene effects were significant in CO 8 × V2709, and the magnitude of additive (d) gene action was greater than dominance (h) gene action, whereas the cross CO 7 × V2709 exhibited significant dominance (h) gene action. This portrayed the importance of both additive and dominant type of gene action in the inheritance of days to fifty per cent flowering. Both additive (d) and dominance (h) gene effects were detailed by Singh et al. (2016). The higher magnitude of additive × additive (i) interaction as compared to dominance × dominance (l) interaction in two crosses (CO7 × V2709, CO 8 × V2709) suggested the predominant role of additive × additive (i) epistasis interaction in these two crosses. Both additive × additive (i) and dominance × dominance (l) interaction were detailed by Singh et al. (2016). Same sign of dominance (h) and dominance × dominance (l) in CO 8 × V2709 suggested complementary type of epistasis. On contrary, CO 7 × V2709 showed opposite signs of ‘h’ and ‘l’ suggested that duplicate type of epistasis could also play a role in expression of days to fifty per cent flowering. Similar type of inheritance for days to fifty per cent flowering was detailed earlier by Pathak et al. (2015).
Number of pods per plant
The mean of P1 (46.20 and 41.00) in two crosses viz., CO 7 × V2709 and CO 8 × V2709 were lower than their corresponding P2 mean (25.80 and 25.80) (Table 1). The mean of F1 (50.80 and 47.00) in two crosses was higher than their respective parents. The mean of F2 (38.55 and 34.35) in two was intermediate between their respective parents but lower than their F1. The F3 mean of CO 7 × V2709 (41.53) and CO 8 × V2709 (37.25) were inclined towards their P1, higher than P2 and F2 and lower than F1. Significant positive mid parent effect (m) was observed in both the crosses (Table 2). Only additive (d) gene action was positive and significant in two crosses suggesting that simple selection following pedigree method would be effective for this trait. Similar results of additive (d) gene action were stated by Devendra et al. (2010) and Singh et al. (2016). Among the components of epistasis, dominance × dominance (l) interaction was significant in two crosses suggesting the predominant role of non-additive type of epistasis for this trait. The dominance × dominance (l) interaction in number of pods per plants was also observed by Devendra et al. (2010) and Singh et al. (2016). Perhaps, reciprocal recurrent selection would be a better strategy to exploit dominance and dominance based genetic control for genetic enhancement of number of pods per plant. Same signs of (h) and (l) in CO 7 × V2709 and CO 8 × V2709 suggested complementary type of epistasis. It recommended effective execution of simple selection method of breeding procedure that could be followed for the improvement of number of pods per plant. Singh et al. (2016) stated duplicate epistasis while Devendra et al. (2010) reported both complementary and duplicate epistasis in the inheritance of number of pods per plant.
Pod length
The P1 mean (8.31 cm) of CO 7 × V2709 was higher than P2 (7.10 cm), whereas the mean of P1 (6.99 cm) of CO 8 × V2709 were lower than their corresponding P2 (7.10 cm) (Table 1). The F1 mean (8.66 cm and 7.48 cm) of CO 7 × V2709 and CO 8 × V2709 crosses were higher than their respective parents. The F2 mean (8.58 cm and 7.43 cm) and F3 mean (8.63 cm and 7.46 cm) of CO 7 × V2709 and CO 8 × V2709 was higher than their respective parents and lower than F1. However, the F3 mean of CO 7 × V2709 and CO 8 × V2709 was higher than their F2 mean. The mid-parental value (m) was significant and positive in both the cross combinations
(Table 2). Additive (d) gene action was significant in two crosses (CO 7 × V2709, CO 8 × V2709). The additive (d) effect for pod length was also reported by Devendra et al. (2010), whereas both additive (d) and dominance (h) effect was stated by Singh et al. (2016). The interaction component (i) was significant in CO 7 × V2709 and CO 8 × V2709 representing the additive type of epistasis in these two crosses. This was akin to the findings of Devendra et al. (2010) and Singh et al. (2016) with additive × additive (i) interaction effect. The higher magnitude of dominance × dominance (l) interaction as compared to additive × additive (i) interactions suggested the predominant role of non-additive type of epistasis for this trait. The opposite signs of dominance (h) and dominance × dominance (l) suggested that epistasis was predominantly duplicate type as described by Devendra et al. (2010).
Number of seeds per pod
The P1 mean (10.40 and 12.20) of CO 7 × V2709 and CO 8 × V2709 was higher than P2 (9.40) (Table 1). The mean of F1 (11.40 and 12.40) in two crosses was higher than their respective parents. The F2 mean (11.09) of CO 7 × V2709 was higher than the parents and lower than F1 whereas, the F2 mean (11.69) of CO 8 × V2709 was intermediate between the respective parents and lower than F1. The F3 mean of CO 7 × V2709 (11.24) was higher than the parents and F2 and lower than F1. The F3 mean of CO 8 × V2802BG (12.03) was intermediate between the respective parents, lower than F1 and higher than F2. Significant and positive mid-parent effect (m) was observed in both the crosses (Table 2). The additive (d) gene effect was significant in two crosses indicating the importance of additive type of gene action in controlling pod length in CO 7 × V2709 and CO 8 × V2709. Significant additive (d) gene effect for number of seeds per pod was also stated by Singh et al. (2016) and Devendra et al. (2010). CO 8 × V2709 exhibited significant dominance × dominance (l) interaction. Both additive × additive (i) and dominance × dominance (l) interaction were reported by Devendra et al. (2010), whereas additive × additive (i) interaction alone by Singh et al. (2016). The opposite signs of dominance (h) and dominance × dominance (l) suggested that epistasis was predominantly of duplicate type. Devendra et al. (2010) reported both duplicate and complementary type of epistasis for the inheritance of number of seeds per pod.
Hundred seed weight
The P1 mean (4.15 g) of CO 7 × V2709 was higher than P2 mean (3.80 g) whereas, P1 (3.78 g) of CO 8 × V2709 was lower than their corresponding P2 (3.80 g) (Table 1). The F1 mean of CO 7 × V2709 (4.33 g) and CO 8 × V2709 (3.91 g) was higher than the respective parents. The F2 mean of CO 7 × V2709 (4.00 g) was intermediate between the respective parents and lower than F1. The F2 mean (3.76 g) of CO 8 × V2709 was lower than parents and F1. The F3 mean of CO 7 × V2709 (4.08 g) was intermediate between the respective parents, lower than F1 and higher than F2. The F3 mean of CO 8 × V2709 (3.83 g) was higher than parents and F2, whereas lower than F1. Significant and positive mid-parent effect (m) was noticed in both the crosses (CO 7 × V2709, CO 8 × V2709) (Table 2). The additive (d) gene effect was significant in CO 7 × V2709 indicating the importance of additive type of gene action in controlling hundred seed weight. Such a parallel finding for additive (d) gene effects were reported by Devendra et al. (2010). CO 7 × V2709 exhibited significant dominance × dominance (l) effect. CO 8 × V2709 exhibited both additive × additive (i) as well as dominance × dominance (l) interaction effect with higher magnitude of dominance × dominance (l) interaction, revealing the predominant role of non-additive type of epistasis. Both additive × additive (i) and dominance × dominance (l) interaction in hundred seed weight were stated by Devendra et al. (2010). The opposite signs of dominance (h) and dominance × dominance (l) suggested that epistasis was predominantly of duplicate type in CO 7 × V2709. Same signs of ‘h’ and ‘l’ in CO 8 × V2709 exhibited complementary type of epistasis. Pathak et al. (2015) stated duplicate type of epistasis, whereas Devendra et al. (2010) reported both duplicate and complementary type of epistasis in the inheritance of hundred seed weight.
Single plant yield
The mean of P1 (16.18 g and 15.01 g) in two crosses viz., CO 7 × V2709 and CO 8 × V2709 was were higher than their corresponding P2 (7.44 g and 7.44 g) (Table 1). The mean of F1 (20.30 g and 17.59 g) in two crosses was higher than their respective parents. The F2 mean (13.13 g and 11.44 g) of CO 7 × V2709 and CO 8 × V2802BG was intermediate between their respective parents and lower than F1. The F3 mean of CO 7 × V2709 (14.93 g) and CO 8 × V2709 (13.35 g) was inclined towards their P1, higher than P2 and F2 and also lower than F1. Significant and positive value for mid-parent effect (m) and additive component (d) was noticed in both the crosses (Table 2). Single plant yield (g). The dominance (h) gene effect was significant in the cross CO 7 × V2709, whereas both additive (d) and dominance (h) gene effects were significant in the cross CO 8 × V2709 with higher magnitude of additive (d) effect. Both dominance (h) and additive (d) gene effect for single plant was showed by Devendra et al. (2010), whereas dominance (h) effect alone by Singh et al. (2016). Both additive × additive (i) and dominance × dominance (l) interactions were significant in two crosses (CO 7 × V2709, CO 8 × V2709) with higher magnitude for additive × additive (i) interaction. Devendra et al. (2010) and Singh et al. (2016) also reported both additive × additive (i) and dominance × dominance (l) interaction for single plant yield.
From the above discussion, it could be concluded that there was a major contribution of the additive and additive × additive gene action for the expression of pod length; additive and dominance × dominance type of gene interaction for the expression of plant height, number of pods per plant, number of seeds per pod, hundred seed weight and single plant yield; dominance and additive × additive type of gene effects played major role in expression of days to first flowering and days to fifty per cent flowering.
Though, generation mean analysis is valuable for detection and estimation of the additive, dominance and epistatic gene effects, it does have some limitations. In the presence of linkage, the estimates of additive × additive and dominance × dominance gene effects are biased to an unknown extent (Mather and Jinks, 1982). Inferences based on the magnitude of additive effects are not advisable, because the distribution of positive and negative gene effects in the parents may result in different degrees of cancellation of effects in the expression of the generation means. For the same reason, the magnitudes of additive gene effects do not necessarily reflect the magnitude of additive variance.
However, dominance (h) and dominance × dominance (l) are independent of the degree of gene distribution due to which the combined estimates of dominance could be considered to be the best representative of sign and magnitude of individual dominance (h) and dominance × dominance (l), respectively. So, practically these are the only components which can safely be used to determine the type of epistasis that may have influence on the observed performance of generations (Mather and Jinks, 1982). For the same reason, emphasis has been given to the traits which are governed by such gene effects for suggesting appropriate breeding method that could be followed to achieve higher expression of such traits.