ANOVA (analysis of variance) showed that differences in the genotypes were highly significant for all the traits, which indicated an ample scope to identify desirable genotypes to improve various traits.
Mahalanobis’s D
2 statistics computed 435 pairs by using data of ten characters of 30 genotypes. The generalized distance (D) between two populations varies from 0.00 (intra cluster) to 19.456 (inter cluster) which indicates that there was a considerable diversity existed in the genotypes studied for the majority of the characters.
Cluster composition
Total twelve clusters were formed and their compositions are given in Table 2. Largest cluster was Cluster I with 10 genotypes followed by cluster II (7 genotypes), clusters III, V and X (each with 2 genotypes) and clusters IV, VI, VII, VIII, IX, XI and XII were with one genotype each.
D
2 analysis was done by many workers in this crop. Based on divergence
Rahim et al., (2010) found 3 clusters from 26 genotypes,
Sunil et al., (2011) found 8 clusters from 129 genotypes,
Titumeer et al., (2014) found six clusters from 50 genotypes,
Abbas et al., (2018) grouped 58 genotypes into four clusters and
Mahalingam et al., (2018) grouped 445 genotypes into three clusters.
Intra and inter-cluster distance
The result of intra and inter-cluster distance (D) between all possible pairs of twelve clusters are shown in Table 3. Also, cluster diagram (Fig 1) showing the interrelationship among clusters. Intracluster divergence means the divergence between the genotypes of the same cluster. Intercluster divergence indicates the divergence between the genotypes of the different clusters.
Result showed that the intercluster distance (D) ranged from 5.721 to 19.456. Minimum intercluster distance (D = 5.721) was observed between clusters XI and XII. It indicated the presence of similarity in the genetic architecture of the genotypes of one cluster and another cluster. Maximum intercluster distance (D = 19.456) was observed between clusters IX and XI. It indicated the entire differences in the genetic architecture of genotypes of one cluster to another cluster.
Considering the highest intercluster distance, LM-584 (belonging to cluster XI) was genetically divergent to LM-1 (belonging to cluster IX) and GM-4 and GAM-5 (belonging to cluster X) which can be used for hybridization programme. Range of intra cluster distance (D) was 0.000 to 5.639. Highest intracluster value (D = 5.639) was noticed for cluster X followed by cluster I (D = 5.295) which indicated that genotypes of these clusters were most heterogeneous, probably have different genetic architecture and these clusters were the best for within group hybridization. Lowest intra cluster value (D = 4.199) was noticed for cluster III which proved that these accessions were passed through similar evolutionary factors than other cluster’s genotypes. As the clusters IV, VI, VII, VIII, IX, XI and XII contains solitary genotype no intracluster distance has been worked out (D = 0.000 each). Earlier researchers like
Singh et al., (2009) found five mono selection clusters,
Gokulakrishnan et al., (2012) and Panigrahi and Baisakh (2014) each found two clusters with solitary genotype,
Gadakh et al., (2013) and
Ahmad et al., (2016) each found three mono selection clusters.
The result revealed wide divergence (Fig 1) and substantial genetic diversity in the studied material for majority of the characters.
Singh et al., (2009), Gokulakrishnan et al., (2012), Panigrahi and Baisakh (2014),
Sunil et al., (2011), Titumeer et al., (2014) also found significant genetic diversity in this crop.
In heterosis breeding, inter-crossing between parents belonging to most divergent clusters are assumed to produce maximum amount of heterosis. However, to improve a specific character in breeding programme, it is advised to choose the donor from an appropriate cluster.
Cluster means of various quantitative traits
Cluster means of ten traits of thirty genotypes are shown in Table 4. Cluster data showed that genotypes in cluster X had medium pod (8.22), maximum 100-seed weight (4.37), maximum protein content (21.88) and maximum seed yield per plant (5.19); genotypes in cluster VIII had maximum number of branches per plant (1.00) and more number of pods per plant (20.36); genotypes in cluster XI had maximum number of branches per plant (1.00), late flowering (55.75), lowest number of pods per plant (10.35) and minimum seed yield (2.10); genotypes in cluster XII were late maturing (84.75) and tallest (98.90); genotypes in cluster III were early maturing (59.38), medium heighted (53.85) and with minimum number of seeds per pod (10.09); genotypes in cluster IV had the highest mean value for number of seeds per pod (12.08); genotypes in cluster V had the lowest protein content (20.14); genotypes in cluster VI were short podded (6.46) and with lowest 100-seed weight (2.56); genotypes in cluster IX were early flowering (38.75) and with lowest number of branches per plant (0.00).
These results indicated that cluster X which contained the popular check varieties GM-4 and GAM-5 with most desirable characters, could be directly selected and utilized for breeding programme. Also, it is advised to cross between genotypes from most distance clusters with high mean performance to achieve desirable transgressive segregants.
Per cent contribution of different traits towards divergence
The selection of parents mostly depends on contribution of various traits towards divergence. The component of D
2s (because of each character variable) were ranked in descending order of magnitude (highest value has given rank I). The component of D
2 is the squares of difference in the transformed uncorrelated mean values related to that character variable. The total of these ranks in all possible 435 combinations provides indirect knowledge of the order of priority in the forms of percentage contribution of the trait to the total divergence. This per cent contribution of various traits towards divergence is shown in Table 5.
Number of branches per plant was the greatest contributor to the total divergence
i.e., 208 times (47.81%) out of 435 . The next larger contributors are pod length (77 cases or 17.70%) followed by 100-seed weight (55 cases or 12.64%), plant height (26 cases or 5.98%), protein content (21 cases or 4.83%), days to maturity (20 cases or 4.60%), number of pods per plant (14 cases or 3.22 %), number of seeds per pod (7 cases or 1.61%), days to flowering (6 cases or 1.38%) and seed yield per plant (1 cases or 0.23%). Similar trend noticed by
Singh et al., (2009) and
Rekha et al., (2015) for 100-seed weight.