Principal component analysis
Principal component analysis (PCA) reflects the significance of the largest contributor to total variation at each axis of differentiation (
Sharma, 1998). The eigenvalues are frequently used to decide which components should be retained. In most cases, the total of the eigenvalues equals the number of variables.
PCA under timely sown conditions
Only four principal components (PCs) with eigen values greater than one were found to account for the majority of the variability, accounting for about 76.37% of the variability among the attributes investigated in 29 diverse lines (Fig 1). Thus, the current study prioritized these four PCs for detailed explanation. Among these, PC1 contributed maximum variance 34.51, followed by PC2, PC3 and PC4 with contribution 17.58, 13.44 and 10.83 percent variance, respectively (Table 2). With a total of 76.37 percent, PC1, PC2, PC3 and PC4 accounted for the majority of the variability.
Characters with the highest absolute value closer to unity in the first principal component have a greater effect on clustering than those with the lowest absolute value closest to zero (
Chahal and Gosal, 2002). Therefore, GYP (0.472) followed by GPS (0.390), harvest index (0.383), CC (0.382) and TPP (0.357) were major contributing traits towards diversity. The presence of positive and negative correlation trends among the components and variables are construed by positive and negative loading. Thousand grain weight (0.451) was major contributor towards the diversity amongst characters of PC2. Similarly, days to maturity (0.393) followed by thousand grain weight (0.348) were major contributors towards diversity in PC3. SL (0.838) reported maximum contribution in PC4 (Table 3). Depending on the respective loadings, one variable is chosen from the identified groups. Therefore, GYP, TGW, DM and SL reported greatest loadings in PC1, PC2, PC3 and PC4 respectively. Similarly,
Ambati et al., (2020) observed similar results with first four PCs accounting for 70.87% of cumulative variance in durum wheat germplasm.
PCA under late sown conditions/ terminal heat stress conditions
Under late sown conditions, only three principal components recorded eigen values of above one accounting for 71% of variance (Fig 2). Among these PC1 (48.53) reported maximum variance followed by PC2 (12.86) and PC3 (9.98) with cumulative variance of 71.39 per cent (Table 2). Similarly,
Khan et al., (2020) reported first nine components accounting for 68.23% of variation under heat stress conditions. Traits, GYP (0.388), CC (0.344), GPS (0.339), TPP (0.335) and HI (0.335) accounted major contribution towards diversity among PC1. Whereas DFF (0.64) followed by DM (0.604) reported maximum contribution towards diversity in PC2. In PC3, PH (0.784) and SL (0.340) were major contributors towards variance (Table 3).
Genotype by trait biplot
In the GT biplot, the interrelationships among traits can be visualized by drawing a vector from the origin to each trait. The magnitude of the trait’s effects on the yield can be measured by the length of the vector associated with it (
Yan and Tinker, 2005). The relationship value between two characteristics can be estimated by the cosine of the angle formed by their respective vectors (
Yan and Rajcan, 2002). Consequently, if the angle between two vectors is acute (<90°), the two characteristics are positively correlated, while if their vectors form an obtuse angle (>90°), they are negatively correlated (
Yan and Kang, 2003). Amongst all the characters under study, GYP reported significant negative correlation with CT and significant positive correlation with characters like GPS, CC, TSW, HI and remaining traits.
Ashik et al., (2023) ascertained the identical results with GYP. Similarly, CT was negatively correlated with most of the traits under evaluation as angles between them measuring more than 90° (Fig 2). These findings were in correspondence with
Fouad et al., (2020).
The distance from the biplot origin to the genotype serves as a distinctive indicator of the genotype’s characteristics, indicating its deviation from an “average” genotype. This hypothetical genotype is portrayed by the biplot origin and has an average level for all traits (
Yan and Fregeau-Reid, 2008). Thus, under timely sown circumstances genotypes such as G19, G11, G23, G5, G17, G18 and G29 (Rajendra Ghehu 3 ©) with elongated vectors exhibit extreme values in one or more traits (Fig 3). While these genotypes may or may not be superior, they can serve as potential parents for certain desirable traits. Whereas, under late sown conditions, G5, G19, G29 (Rajendra Ghehu 3 ©), G20 were potential genotypes that can be used as parents in crossing programs (Fig 3).
Cluster analysis
Using Ward’s method, a hierarchical clustering approach was employed to group 29 wheat lines based on data from eleven quantitative traits. This resulted in the formation of nine clusters under timely sown conditions, whereas six clusters were formed under late sown conditions. The dissimilarity coefficients calculated using the morphophysiological traits of these genotypes varied between 1.22 to 8.83 and 1.99 to 9.13 under timely and late sown conditions respectively. The dissimilarity distances showed that the genotype G20 was most dissimilar with G23 followed by G11, followed by genotype G15 with G23 and G11 under timely sown conditions (Table 4). Whereas in late sown conditions, the highest dissimilarity distances were reported between genotypes G19 with G18 followed by G20, G15 and G10 (Table 4). In timely sown conditions, the pair of genotypes such as G14 and G16 followed by G17 and G5, G4 and G5 exhibited the smallest dissimilarity distances, indicating these genotypes are closely related likely due to shared parentage in their pedigree. Whereas, under late sown conditions, the pair of genotypes such as G2 and G3 followed by G2 and G24, G3 and G12 reported smallest dissimilarity distances.
In timely sown conditions, nine clusters were reported in the analysis, maximum number of genotypes (7) were reported cluster 3 and cluster 7 whereas cluster 2 comprised of only one genotype
i.
e., G29 (Fig 4a). Cluster 1 comprised of three genotypes (G23, G11, G19) characterized by high tillers per plant, early days to fifty per cent flowering, low CT, high GPS, high CC and high GYP. Similar result was reported by
Singh et al., (2019) in which a cluster showed considerable high values for TPP and GYP. Cluster 2 contained only one genotype
i.
e., G29 (check Rajendra Ghehu 3) characterized by delayed DM, high TGW, high HI. Lowest PH was reported in cluster 9, while, cluster 4 exhibited a notably high SL.
Six clusters were reported in late sown conditions, cluster 3 contained maximum number of genotypes (7) and cluster 2 contained least number of genotypes (2) (Fig 4b). Cluster 1 comprised of genotypes (G4, G5, G19, G11, G23, G29) characterized with high TPP, low CT, high SL, high GPS, high CC, TGW, HI and low HSI. Cluster 2 characterized by dwarf PH, delayed DFF, DM. Similar findings were reported by
Kandel et al., (2018), Singh et al., (2019).