Genetic Divergence and Principal Component Analysis for Identification of Superior and Heat Stress-tolerant Genotypes in Field Pea (Pisum sativum L.)

L
Laxmidas Verma1,#
A
Anand Kumar2,#,*
D
Deepak Kumar Prajapati1
A
Anupam Tripathi1
N
Nikita3
S
Shiva Nath1,#
R
Rajneesh Bhardwaj4
S
Subhash Kumar Jawla5
P
Pooja Yadav6
R
Rajbir Singh7
1Department of Genetics and Plant Breeding, Acharya Narendra Deva University of Agriculture and Technology, Kumarganj, Ayodhya-224 229, Uttar Pradesh, India.
2Faculty of Agricultural Sciences, GLA University, Mathura-281 406, Uttar Pradesh, India.
3Faculty of life Sciences, Dr. Kn Modi University, Modinagar Ghaziabad- 201 204, Uttar Pradesh, India.
4Graphic Era Hill University, Dehradun-248 002, Uttrakhand, India.
5Department of Agricultural Economics and Extension, Lovely Professional University, Phagwara-144 411, Punjab, India.
6Department of Microbiology, Vinayak Vidyapeeth College, Modipuram, Meerut-250 110, Uttar Pradesh, India.
7School of Agricultural Sciences, IIMT University, Meerut-250 001, Uttar Pradesh, India.
  • Submitted19-06-2026|

  • Accepted20-07-2026|

  • First Online 06-08-2026|

  • doi 10.18805/LR-5691

Background: Genetic diversity is an important prerequisite for the improvement of field pea through hybridization and selection. The current study was undertaken to assess genetic divergence among 10 parental lines and 45 F1 hybrids of field pea under TS and LS conditions to identify genetically diverse and superior genotypes for breeding high-yielding and heat stress-tolerant cultivars.

Methods: A total of 55 genotypes, comprising 10 parental lines and 45 F1 hybrids, were evaluated under TS and LS conditions. Genetic divergence was assessed through Mahalanobis’ D2 statistics, while PCA was employed to determine the contribution of different traits to overall variability and to identify promising genotypes.

Result: The maximum inter-cluster distances were recorded between clusters V and VI (timely sown) and clusters II and V (late sown), suggesting their potential for generating superior recombinants. PCA demonstrated that the leading four principal components explained 80.51% and 78.18% of the total variation under timely and late sowing, respectively. Seed yield/plant, biological yield/plant, pods/plant and primary branch/plant, secondary branches/plant were the main contributors to genetic divergence. The hybrids IPF 22-22 × IPF 22-24 and RFP 2020-2 × IPF 22-24 were identified as promising across environments, while parental lines IPF 22-22 and IPF 22-24 showed superior performance under late sowing, indicating their potential as heat stress-tolerant parents.

Field pea (Pisum sativum L.) is a cold-season legume belonging to family Leguminosae (2n =2x=14), is a vital protein source, carbohydrates, vitamins and minerals for human as well as animal nutrition. Beyond its nutritional importance, field pea contributes to sustainable agriculture through biological nitrogen fixation, thereby enhancing soil fertility and reduces the need for nitrogen fertilizers (Smýkal et al., 2012). Temperature Abiotic stress is among the key environmental factors that significantly affect field pea productivity. Delayed sowing often exposes the crop to elevated temperatures during flowering and pod development, adversely affecting pollen viability, pod set and seed filling, ultimately reducing yield (Devi et al., 2023). Therefore, developing high-yielding and heat-tolerant cultivars is a most important breeding goal. Crop improvement requires genetic diversity, since it enables breeders to identify and exploit desirable traits (Begna, 2024). Multivariate statistical approaches such as Mahalanobis’ D² statistics and PCA are widely used to measure genetic divergence and determine the characteristics that lead to variability. D² analysis groups genotypes based on genetic distance, while PCA summarizes complex datasets and reveals the major sources of variation within a population (Mahalanobis, 1936; Rao, 1952; Jolliffe, 2002). Therefore, the current research was undertaken to examine genetic diversity among field pea genotypes across TS and LS conditions using Mahalanobis’ D² statistics and PCA, with the objective of identifying diverse and promising genotypes targeted for future crop improvement programs.
This study was carried out across two successive Rabi seasons (2023-24 and 2024-25) at the research farm of Genetics and Plant Breeding, Acharya Narendra Deva University of Agriculture and Technology, Kumarganj, Ayodhya, Uttar Pradesh, India. During Rabi 2023-24, ten diverse field pea genotypes, namely Pant P 545, Pant P 550, RFP 2020-2, KPMR 907, Pant P 554, IPF 22-22, IPF 22-24, HFP 1960, HFP 1961 and VL 42, were subjected to crossing in a half-diallel fashion excluding reciprocals (Griffing, 1956) to generate 45 F1 hybrids. In Rabi 2024-25, the 45 F1 hybrids along with their 10 parents were subjected to evaluation under timely-sown and late-sown conditions in three replications using randomized block design. Each genotype was planted in a single row at a spacing of 45 cm × 10 cm and the recommended agronomic practices were followed throughout the crop season. Data collection was carried out on five randomly chosen plants for eleven traits, namely days to 50 per cent flowering, days to maturity, primary branches/plant, secondary branches/plant, plant height, pods/plant, seeds/pod, biological yield/plant, harvest index, seed index and seed yield/plant. The average values were utilized for multivariate analysis using R software. Genetic divergence was estimated using Mahalanobis D2 statistics (Mahalanobis, 1936) and Genotypes were classified into clusters using Tocher’s method (Rao, 1952). PCA was performed on standardized data to determine the principal sources of variation among genotypes. components with eigenvalues exceeding unity were retained according to Kaiser’s rule (Kaiser, 1960) and genotype relationships were visualized using principal component scores.
Genetic divergence analysis
 
Genetic diversity among 45 F1 hybrids and 10 parental lines of field pea was evaluated using Mahalanobis D2 statistics. The 55 genotypes were organized into six distinct clusters under both timely and late sown conditions (Table 1 and 2; Fig 1 and 2), indicating substantial genetic variability among the studied material. Under timely sowing, Cluster III represented the largest cluster with 15 genotypes, whereas Cluster IV accounted for the smallest with 5 genotypes. Under late sowing, Clusters I and III each contained 11 genotypes, while Cluster II was the smallest with 7 genotypes. The variation in cluster composition across environments suggests that environmental conditions influenced the expression of quantitative traits and altered genetic relationships among genotypes. Similar findings have been reported by Singh et al., (2021) and Guruprasad et al., (2021).

Table 1: Clustering pattern of 10 parents along with 45 F1 crosses of eleven characters under timely sown (TS) condition.



Table 2: Clustering pattern of 10 parents along with 45 F1 crosses of eleven characters under late sown (LS) condition.



Fig 1a: Clustering pattern of 10 Parents and their F1 hybrids under timely sown condition.



Fig 1b: Clustering pattern of 10 Parents and their F1 hybrids under late sown (LS) condition.



Fig 2: Scree plot showing the eigenvalues of eleven principal components under timely sown (TS) condition.


 
Inter and intra cluster distance
 
Intra-cluster and inter-cluster distances among the six clusters are available in Table 3. In timely sown conditions, cluster V exhibited the high intra-cluster distance (26.76), whereas in late sown conditions, cluster II recorded the high intra-cluster distance (30.28), suggesting greater variability under clusters II and V. The largest inter-cluster value was observed between clusters V and VI (51.12) under timely sowing and between clusters II and V (63.30) under late sowing, reflecting the highest genetic divergence among these cluster combinations. In contrast, the lowest inter-cluster value was recorded between clusters III and VI under both environments, indicating closer genetic relationships among the genotypes. Overall, inter-cluster distances were generally greater than intra-cluster distances, suggesting substantial genetic diversity among clusters. Therefore, crosses involving genotypes from clusters V and VI under timely sowing and clusters II and V under late sowing may be promising for generating broad variability and superior segregants in breeding programmes.

Table 3: Estimates of average intra and inter-cluster distance for six clusters of field pea genotypes under timely (TS) and late sown (LS) conditions.


 
Cluster means
 
Substantial variability in cluster means across different traits under timely and late-sown conditions provided further evidence of diversity. Cluster mean values for all eleven characters in TS and LS environments are given in Table 4. As revealed by Table 4, under timely sown conditions, cluster I showed the largest mean value for PH (113.41 cm) and BYPP (80.62 g) and smallest mean values for DTF (67.50 days). Cluster II exhibited the largest mean values for DTM (112.27 days), harvest index (39.83%) and SYPP (31.65 g). Cluster III showed high mean values for PB (2.87), SB (4.86), PPP (29.51), SPP (6.18), SI (19.41), HI (41.70%) and SYPP (35.32 g). Cluster IV recorded the highest value for PH (114.04 cm) but lowest for PB (2.35), SI (17.22), BYPP (66.32 g), HI (35.21%) and SYPP (23.20 g). Cluster V showed highest values for DTF (71.94 days) and DTM (111.11 days), while exhibiting lower values for PH (93.46 cm), SB (3.63), PPP (22.80), BYPP (64.25 g) and SYPP (23.69 g). Cluster VI exhibited the high values for PB (3.13), SB (5.35), PPP (29.96), SI (19.56), BYPP (93.69 g) and SYPP (35.53 g), while lowest values for DTM (106.04 days). Under late sown conditions, cluster I exhibited one of the highest mean values for HI (37.98%). Cluster II showed the highest mean values for DTF (67.76 days) and DTM (104.85 days), but recorded the lowest values for PH (92.14 cm), PB (2.18), SB (2.97), PPP (18.63), SPP (5.35), SI (15.50), BYPP (45.57 g) and SYPP (15.48 g). Cluster III showed the lowest values for DTF (62.87 days) and DTM (99.69 days), while maintaining comparatively higher values for PPP (25.85), SI (16.65), BYPP (69.67 g) and SYPP (23.95 g). Cluster IV was among the superior clusters for SPP (5.95) and BYPP (68.52 g). Cluster V emerged as the most promising cluster under late sowing, exhibiting the largest values for PH (107.76 cm), PB (2.93), SB (4.10), PPP (26.20), SI (17.69), BYPP (74.64 g) and SYPP (27.32 g). Cluster VI showed moderate performance for most traits but recorded the lowest harvest index (30.77%).

Table 4: Cluster mean for different characters in field pea under timely (TS) and late (LS) sown conditions.


       
The results showed that each cluster exhibited strengths for specific characteristics under both TS and LS conditions. However, clusters III and VI under timely sowing and cluster V under late sowing showed better overall performance for seed yield/plant and most of its contributing traits. Therefore, genotypes belonging to these clusters can be considered promising candidates for use as parents in breeding programme. Crossing these genotypes with those from genetically diverse clusters having high inter-cluster distances may help to generate greater variability and increase the chances of obtaining superior recombinants in subsequent generations.
 
Principal component analysis (PCA)
 
Principal Component Analysis (PCA) was conducted to determine the principal sources of variation and traits contributing to genetic diversity among 10 parental lines and 45 F1 hybrids of field pea under TS and LS conditions. The eigenvalues, factor loadings and percentage of variance explained by the principal components are presented in Table 5, while the scree plots and PCA biplots are shown in Fig 2-5.

Table 5: Factor loadings of 11 quantitative traits on the first four principal components in 10 parental lines and 45 F1 hybrids of field pea under timely sown (TS) and late sown (LS) condition.



Fig 3: Scree plot showing the eigenvalues of eleven principal components under late sown (LS) condition.



Fig 4: PCA biplot of genotypes and traits under timely sown (TS) condition.



Fig 5: PCA biplot of genotypes and traits under late sown (LS) condition.


       
The initial four principal components exhibited eigenvalues more than one under both timely and late sown conditions and contributed largely to the total variation observed. Under timely sowing, PC1-PC4 noted for 80.51% of the cumulative variation, while under late sowing they explained 78.18% to the overall variation. The scree plots showed the eigenvalues after the first component decline syarply, indicating first four components captured most of the variation present in the dataset. Similar observations have been noted by Anand et al., (2025) and Pratap et al., (2024).
       
The factor loadings revealed that PC1 was predominantly related with seed yield/plant and its governing traits in both environments. Seed yield/plant showed the highest positive loading under timely (0.952) and late sown (0.957) conditions, followed by BYPP, PPP, PB and SB, indicating their major contribution to genetic divergence. In contrast, DTF and DTM exhibited negative loadings. PC2 was mainly influenced by phenological traits and harvest index, while PC3 was largely associated with harvest index under both environments. The variation in trait loadings across principal components reflects the differential contribution of traits to genetic variability under contrasting sowing conditions.
       
The PCA biplot under timely sown (TS) conditions showed that PC1 and PC2 together explained 60.88% of total variability. Traits such as seed yield/plant (SYPP), biological yield/plant (BYPP), pods/plant (PPP), primary branches/plant (PB), secondary branches/plant (SB), seeds/pod (SPP) and seed index (SI) were closely grouped and oriented in the same direction, indicating strong positive associations among these traits. In contrast, DTF and DTM were positioned opposite to the yield-related traits, suggesting a negative association between crop duration and productivity. Parental lines HFP 1961, KPMR 907, Pant P 550, VL 42 and RFP 2020-2 were located away from the origin, indicating greater genetic divergence. Hybrids Pant P 545 × IPF 22-22, Pant P 545 × VL 42, RFP 2020-2 × IPF 22-24 and IPF 22-22 × IPF 22-24 were associated with yield-related vectors, suggesting their potential for yield improvement. Under LS conditions, PC1 and PC2 accounted for 57.24% of the overall variation. A similar clustering of SYPP, BYPP, PPP, PB and SB was observed, indicating strong positive relationships among these traits. The separation between yield-related and phenological traits was more pronounced under LS conditions, highlighting the importance of earliness under terminal heat stress. Parents HFP 1961, KPMR 907, Pant P 550 and RFP 2020-2 occupied extreme positions, while hybrids IPF 22-22 × IPF 22-24, Pant P 545 × IPF 22-22 and RFP 2020-2 × IPF 22-24 were closely associated with yield-enhancing traits. These results revealed that SYPP, BYPP, PPP, PB and SB were the major contributors to variability under both environments. Similar observations have been noted by Patel et al., (2023), Pratap et al., (2024) and Anand et al., (2025), demonstrating the effectiveness of PCA in identifying genetically diverse and high-yielding breeding materials.
This study demonstrated considerable genetic divergence within the evaluated material of field pea under TS and LS conditions. Genotypes were grouped into six clusters based on the D² analysis, while PCA revealed that the first four PC explained greater than 78% of the overall variability under both environments. Clusters III and VI under timely sowing and cluster V under late sowing exhibited superiority for seed yield and related traits. Among the parental lines, IPF 22-22 and IPF 22-24 performed well under late sowing, indicating their potential as heat stress-tolerant parents. The hybrids IPF 22-22 × IPF 22-24 and RFP 2020-2 × IPF 22-24 were identified as promising genotypes due to their strong association with yield and yield-contributing traits. These genotypes may be strategically exploited in breeding programmes focused on developing high-yielding and heat stress-tolerant field pea cultivars.
The present work was carried out with the support of the Department of Genetics and Plant Breeding, Acharya Narendra Deva University of Agriculture and Technology, Kumarganj, Ayodhya, Uttar Pradesh, India.
The authors confirm that no conflicts of interest are associated with the publication of this article. The study was conducted independently, without any external funding or sponsorship influencing its design, data collection, analysis, decision to publish, or manuscript preparation.

  1. Anand, K.J., Singh, S.K., Patel, T., Nagre, S.P. and Katara, V.K. (2025). Exploring genetic diversity for yield and yield attributing traits in pea (Pisum sativum L.) through D2 and principal component analysis. International Journal of Economic Plants. 12(3): 01-08.

  2. Begna, T. and Teressa, T. (2024). Middle East Journal of Agriculture Research. Middle East J. 13(1): 128-136.

  3. Griffing, B.R.U.C.E. (1956). Concept of general and specific combining ability in relation to diallel crossing systems. Australian Journal of Biological Sciences. 9(4): 463-493.

  4. Guruprasad, A., Patil, M.D. and Katageri, I.S. (2021). Assessment of genetic diversity based on morpho-phenological and productivity traits in field pea (Pisum sativum L.). Journal of Farm Sciences. 34(01): 37-40.

  5. Devi, J., Sagar, V., Mishra, G.P., Jha, P.K., Gupta, N., Dubey, R.K. and Prasad, P.V. (2023). Heat stress tolerance in peas (Pisum sativum L.): Current status and way forward. Frontiers in Plant Science. 13: 1108276. 

  6. Jolliffe, I. (2002). Principal Component Analysis. In: International Encyclopedia of Statistical Science. Berlin, Heidelberg: Springer Berlin Heidelberg. (pp. 1945-1948).

  7. Kaiser, H.F. (1960). The application of electronic computers to factor analysis. Educational and Psychological Measurement 20(1): 141-151.

  8. Mahalanobis, P.C. (1936). On the generalized distance in statistics. Proceedings of National Academic Science. India. 2: 79- 85.

  9. Pratap, V., Sharma, V., Kumar, H., Shukla, G. and Kumar, M. (2024). Multivariate analysis of quantitative traits in field pea (Pisum sativum var. arvense). Legume Research: An International Journal. 47(6): 917-921. doi: 10.18805/LR-4604.

  10. Patel, N., Lakhani, J.P., Singh, S.K., Chauhan, P. and Dangi, D. (2023). Principal components analysis for yield and quality contributing traits in field pea (Pisum sativum L.) Genotypes. Biological Forum-An International Journal. 15(10): 502- 507.

  11. Rao, C.R. (1952). Advanced Statistical Methods in Biometric Research. John Wiley and Sons.

  12. Singh, S., Sharma, V.R., Nannuru, V.K.R., Singh, B. and Kumar, M. (2021). Phenotypic diversity of pea genotypes (Pisum sativum L.) based on multivariate analysis. Legume Research. 44(8): 875-881. doi: 10.18805/LR-4165.

  13. Smýkal, P., Aubert, G., Burstin, J., Coyne, C.J., Ellis, N.T., Flavell, A. J. and Warkentin, T.D. (2012). Pea (Pisum sativum L.) in the genomic era. Agronomy. 2(2): 74-115.

Genetic Divergence and Principal Component Analysis for Identification of Superior and Heat Stress-tolerant Genotypes in Field Pea (Pisum sativum L.)

L
Laxmidas Verma1,#
A
Anand Kumar2,#,*
D
Deepak Kumar Prajapati1
A
Anupam Tripathi1
N
Nikita3
S
Shiva Nath1,#
R
Rajneesh Bhardwaj4
S
Subhash Kumar Jawla5
P
Pooja Yadav6
R
Rajbir Singh7
1Department of Genetics and Plant Breeding, Acharya Narendra Deva University of Agriculture and Technology, Kumarganj, Ayodhya-224 229, Uttar Pradesh, India.
2Faculty of Agricultural Sciences, GLA University, Mathura-281 406, Uttar Pradesh, India.
3Faculty of life Sciences, Dr. Kn Modi University, Modinagar Ghaziabad- 201 204, Uttar Pradesh, India.
4Graphic Era Hill University, Dehradun-248 002, Uttrakhand, India.
5Department of Agricultural Economics and Extension, Lovely Professional University, Phagwara-144 411, Punjab, India.
6Department of Microbiology, Vinayak Vidyapeeth College, Modipuram, Meerut-250 110, Uttar Pradesh, India.
7School of Agricultural Sciences, IIMT University, Meerut-250 001, Uttar Pradesh, India.
  • Submitted19-06-2026|

  • Accepted20-07-2026|

  • First Online 06-08-2026|

  • doi 10.18805/LR-5691

Background: Genetic diversity is an important prerequisite for the improvement of field pea through hybridization and selection. The current study was undertaken to assess genetic divergence among 10 parental lines and 45 F1 hybrids of field pea under TS and LS conditions to identify genetically diverse and superior genotypes for breeding high-yielding and heat stress-tolerant cultivars.

Methods: A total of 55 genotypes, comprising 10 parental lines and 45 F1 hybrids, were evaluated under TS and LS conditions. Genetic divergence was assessed through Mahalanobis’ D2 statistics, while PCA was employed to determine the contribution of different traits to overall variability and to identify promising genotypes.

Result: The maximum inter-cluster distances were recorded between clusters V and VI (timely sown) and clusters II and V (late sown), suggesting their potential for generating superior recombinants. PCA demonstrated that the leading four principal components explained 80.51% and 78.18% of the total variation under timely and late sowing, respectively. Seed yield/plant, biological yield/plant, pods/plant and primary branch/plant, secondary branches/plant were the main contributors to genetic divergence. The hybrids IPF 22-22 × IPF 22-24 and RFP 2020-2 × IPF 22-24 were identified as promising across environments, while parental lines IPF 22-22 and IPF 22-24 showed superior performance under late sowing, indicating their potential as heat stress-tolerant parents.

Field pea (Pisum sativum L.) is a cold-season legume belonging to family Leguminosae (2n =2x=14), is a vital protein source, carbohydrates, vitamins and minerals for human as well as animal nutrition. Beyond its nutritional importance, field pea contributes to sustainable agriculture through biological nitrogen fixation, thereby enhancing soil fertility and reduces the need for nitrogen fertilizers (Smýkal et al., 2012). Temperature Abiotic stress is among the key environmental factors that significantly affect field pea productivity. Delayed sowing often exposes the crop to elevated temperatures during flowering and pod development, adversely affecting pollen viability, pod set and seed filling, ultimately reducing yield (Devi et al., 2023). Therefore, developing high-yielding and heat-tolerant cultivars is a most important breeding goal. Crop improvement requires genetic diversity, since it enables breeders to identify and exploit desirable traits (Begna, 2024). Multivariate statistical approaches such as Mahalanobis’ D² statistics and PCA are widely used to measure genetic divergence and determine the characteristics that lead to variability. D² analysis groups genotypes based on genetic distance, while PCA summarizes complex datasets and reveals the major sources of variation within a population (Mahalanobis, 1936; Rao, 1952; Jolliffe, 2002). Therefore, the current research was undertaken to examine genetic diversity among field pea genotypes across TS and LS conditions using Mahalanobis’ D² statistics and PCA, with the objective of identifying diverse and promising genotypes targeted for future crop improvement programs.
This study was carried out across two successive Rabi seasons (2023-24 and 2024-25) at the research farm of Genetics and Plant Breeding, Acharya Narendra Deva University of Agriculture and Technology, Kumarganj, Ayodhya, Uttar Pradesh, India. During Rabi 2023-24, ten diverse field pea genotypes, namely Pant P 545, Pant P 550, RFP 2020-2, KPMR 907, Pant P 554, IPF 22-22, IPF 22-24, HFP 1960, HFP 1961 and VL 42, were subjected to crossing in a half-diallel fashion excluding reciprocals (Griffing, 1956) to generate 45 F1 hybrids. In Rabi 2024-25, the 45 F1 hybrids along with their 10 parents were subjected to evaluation under timely-sown and late-sown conditions in three replications using randomized block design. Each genotype was planted in a single row at a spacing of 45 cm × 10 cm and the recommended agronomic practices were followed throughout the crop season. Data collection was carried out on five randomly chosen plants for eleven traits, namely days to 50 per cent flowering, days to maturity, primary branches/plant, secondary branches/plant, plant height, pods/plant, seeds/pod, biological yield/plant, harvest index, seed index and seed yield/plant. The average values were utilized for multivariate analysis using R software. Genetic divergence was estimated using Mahalanobis D2 statistics (Mahalanobis, 1936) and Genotypes were classified into clusters using Tocher’s method (Rao, 1952). PCA was performed on standardized data to determine the principal sources of variation among genotypes. components with eigenvalues exceeding unity were retained according to Kaiser’s rule (Kaiser, 1960) and genotype relationships were visualized using principal component scores.
Genetic divergence analysis
 
Genetic diversity among 45 F1 hybrids and 10 parental lines of field pea was evaluated using Mahalanobis D2 statistics. The 55 genotypes were organized into six distinct clusters under both timely and late sown conditions (Table 1 and 2; Fig 1 and 2), indicating substantial genetic variability among the studied material. Under timely sowing, Cluster III represented the largest cluster with 15 genotypes, whereas Cluster IV accounted for the smallest with 5 genotypes. Under late sowing, Clusters I and III each contained 11 genotypes, while Cluster II was the smallest with 7 genotypes. The variation in cluster composition across environments suggests that environmental conditions influenced the expression of quantitative traits and altered genetic relationships among genotypes. Similar findings have been reported by Singh et al., (2021) and Guruprasad et al., (2021).

Table 1: Clustering pattern of 10 parents along with 45 F1 crosses of eleven characters under timely sown (TS) condition.



Table 2: Clustering pattern of 10 parents along with 45 F1 crosses of eleven characters under late sown (LS) condition.



Fig 1a: Clustering pattern of 10 Parents and their F1 hybrids under timely sown condition.



Fig 1b: Clustering pattern of 10 Parents and their F1 hybrids under late sown (LS) condition.



Fig 2: Scree plot showing the eigenvalues of eleven principal components under timely sown (TS) condition.


 
Inter and intra cluster distance
 
Intra-cluster and inter-cluster distances among the six clusters are available in Table 3. In timely sown conditions, cluster V exhibited the high intra-cluster distance (26.76), whereas in late sown conditions, cluster II recorded the high intra-cluster distance (30.28), suggesting greater variability under clusters II and V. The largest inter-cluster value was observed between clusters V and VI (51.12) under timely sowing and between clusters II and V (63.30) under late sowing, reflecting the highest genetic divergence among these cluster combinations. In contrast, the lowest inter-cluster value was recorded between clusters III and VI under both environments, indicating closer genetic relationships among the genotypes. Overall, inter-cluster distances were generally greater than intra-cluster distances, suggesting substantial genetic diversity among clusters. Therefore, crosses involving genotypes from clusters V and VI under timely sowing and clusters II and V under late sowing may be promising for generating broad variability and superior segregants in breeding programmes.

Table 3: Estimates of average intra and inter-cluster distance for six clusters of field pea genotypes under timely (TS) and late sown (LS) conditions.


 
Cluster means
 
Substantial variability in cluster means across different traits under timely and late-sown conditions provided further evidence of diversity. Cluster mean values for all eleven characters in TS and LS environments are given in Table 4. As revealed by Table 4, under timely sown conditions, cluster I showed the largest mean value for PH (113.41 cm) and BYPP (80.62 g) and smallest mean values for DTF (67.50 days). Cluster II exhibited the largest mean values for DTM (112.27 days), harvest index (39.83%) and SYPP (31.65 g). Cluster III showed high mean values for PB (2.87), SB (4.86), PPP (29.51), SPP (6.18), SI (19.41), HI (41.70%) and SYPP (35.32 g). Cluster IV recorded the highest value for PH (114.04 cm) but lowest for PB (2.35), SI (17.22), BYPP (66.32 g), HI (35.21%) and SYPP (23.20 g). Cluster V showed highest values for DTF (71.94 days) and DTM (111.11 days), while exhibiting lower values for PH (93.46 cm), SB (3.63), PPP (22.80), BYPP (64.25 g) and SYPP (23.69 g). Cluster VI exhibited the high values for PB (3.13), SB (5.35), PPP (29.96), SI (19.56), BYPP (93.69 g) and SYPP (35.53 g), while lowest values for DTM (106.04 days). Under late sown conditions, cluster I exhibited one of the highest mean values for HI (37.98%). Cluster II showed the highest mean values for DTF (67.76 days) and DTM (104.85 days), but recorded the lowest values for PH (92.14 cm), PB (2.18), SB (2.97), PPP (18.63), SPP (5.35), SI (15.50), BYPP (45.57 g) and SYPP (15.48 g). Cluster III showed the lowest values for DTF (62.87 days) and DTM (99.69 days), while maintaining comparatively higher values for PPP (25.85), SI (16.65), BYPP (69.67 g) and SYPP (23.95 g). Cluster IV was among the superior clusters for SPP (5.95) and BYPP (68.52 g). Cluster V emerged as the most promising cluster under late sowing, exhibiting the largest values for PH (107.76 cm), PB (2.93), SB (4.10), PPP (26.20), SI (17.69), BYPP (74.64 g) and SYPP (27.32 g). Cluster VI showed moderate performance for most traits but recorded the lowest harvest index (30.77%).

Table 4: Cluster mean for different characters in field pea under timely (TS) and late (LS) sown conditions.


       
The results showed that each cluster exhibited strengths for specific characteristics under both TS and LS conditions. However, clusters III and VI under timely sowing and cluster V under late sowing showed better overall performance for seed yield/plant and most of its contributing traits. Therefore, genotypes belonging to these clusters can be considered promising candidates for use as parents in breeding programme. Crossing these genotypes with those from genetically diverse clusters having high inter-cluster distances may help to generate greater variability and increase the chances of obtaining superior recombinants in subsequent generations.
 
Principal component analysis (PCA)
 
Principal Component Analysis (PCA) was conducted to determine the principal sources of variation and traits contributing to genetic diversity among 10 parental lines and 45 F1 hybrids of field pea under TS and LS conditions. The eigenvalues, factor loadings and percentage of variance explained by the principal components are presented in Table 5, while the scree plots and PCA biplots are shown in Fig 2-5.

Table 5: Factor loadings of 11 quantitative traits on the first four principal components in 10 parental lines and 45 F1 hybrids of field pea under timely sown (TS) and late sown (LS) condition.



Fig 3: Scree plot showing the eigenvalues of eleven principal components under late sown (LS) condition.



Fig 4: PCA biplot of genotypes and traits under timely sown (TS) condition.



Fig 5: PCA biplot of genotypes and traits under late sown (LS) condition.


       
The initial four principal components exhibited eigenvalues more than one under both timely and late sown conditions and contributed largely to the total variation observed. Under timely sowing, PC1-PC4 noted for 80.51% of the cumulative variation, while under late sowing they explained 78.18% to the overall variation. The scree plots showed the eigenvalues after the first component decline syarply, indicating first four components captured most of the variation present in the dataset. Similar observations have been noted by Anand et al., (2025) and Pratap et al., (2024).
       
The factor loadings revealed that PC1 was predominantly related with seed yield/plant and its governing traits in both environments. Seed yield/plant showed the highest positive loading under timely (0.952) and late sown (0.957) conditions, followed by BYPP, PPP, PB and SB, indicating their major contribution to genetic divergence. In contrast, DTF and DTM exhibited negative loadings. PC2 was mainly influenced by phenological traits and harvest index, while PC3 was largely associated with harvest index under both environments. The variation in trait loadings across principal components reflects the differential contribution of traits to genetic variability under contrasting sowing conditions.
       
The PCA biplot under timely sown (TS) conditions showed that PC1 and PC2 together explained 60.88% of total variability. Traits such as seed yield/plant (SYPP), biological yield/plant (BYPP), pods/plant (PPP), primary branches/plant (PB), secondary branches/plant (SB), seeds/pod (SPP) and seed index (SI) were closely grouped and oriented in the same direction, indicating strong positive associations among these traits. In contrast, DTF and DTM were positioned opposite to the yield-related traits, suggesting a negative association between crop duration and productivity. Parental lines HFP 1961, KPMR 907, Pant P 550, VL 42 and RFP 2020-2 were located away from the origin, indicating greater genetic divergence. Hybrids Pant P 545 × IPF 22-22, Pant P 545 × VL 42, RFP 2020-2 × IPF 22-24 and IPF 22-22 × IPF 22-24 were associated with yield-related vectors, suggesting their potential for yield improvement. Under LS conditions, PC1 and PC2 accounted for 57.24% of the overall variation. A similar clustering of SYPP, BYPP, PPP, PB and SB was observed, indicating strong positive relationships among these traits. The separation between yield-related and phenological traits was more pronounced under LS conditions, highlighting the importance of earliness under terminal heat stress. Parents HFP 1961, KPMR 907, Pant P 550 and RFP 2020-2 occupied extreme positions, while hybrids IPF 22-22 × IPF 22-24, Pant P 545 × IPF 22-22 and RFP 2020-2 × IPF 22-24 were closely associated with yield-enhancing traits. These results revealed that SYPP, BYPP, PPP, PB and SB were the major contributors to variability under both environments. Similar observations have been noted by Patel et al., (2023), Pratap et al., (2024) and Anand et al., (2025), demonstrating the effectiveness of PCA in identifying genetically diverse and high-yielding breeding materials.
This study demonstrated considerable genetic divergence within the evaluated material of field pea under TS and LS conditions. Genotypes were grouped into six clusters based on the D² analysis, while PCA revealed that the first four PC explained greater than 78% of the overall variability under both environments. Clusters III and VI under timely sowing and cluster V under late sowing exhibited superiority for seed yield and related traits. Among the parental lines, IPF 22-22 and IPF 22-24 performed well under late sowing, indicating their potential as heat stress-tolerant parents. The hybrids IPF 22-22 × IPF 22-24 and RFP 2020-2 × IPF 22-24 were identified as promising genotypes due to their strong association with yield and yield-contributing traits. These genotypes may be strategically exploited in breeding programmes focused on developing high-yielding and heat stress-tolerant field pea cultivars.
The present work was carried out with the support of the Department of Genetics and Plant Breeding, Acharya Narendra Deva University of Agriculture and Technology, Kumarganj, Ayodhya, Uttar Pradesh, India.
The authors confirm that no conflicts of interest are associated with the publication of this article. The study was conducted independently, without any external funding or sponsorship influencing its design, data collection, analysis, decision to publish, or manuscript preparation.

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