Submitted:
02 September 2025
Posted:
03 September 2025
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Abstract
Keywords:
1. Introduction
2. Materials and Methods
- Yijk= observation of genotype i in environment j and block k;
- µ= overall mean
- (B/A)jk= effect of block k within environment j
- Gi= fixed effect of genotype i
- Aj = fixed effect of the environment j
- (GA)ij = interaction effect of genotype i and environment j
- eijk= random error associated with Yijk, with normal distribution N(0, σ2)
- Ij= Index of environment j
- Xj= Mean of the environment j
- X(..)= Overall mean
- Wi = Genotypic confidence index of genotype i
- Y(i.) (%) = Relative mean of genotype i across the evaluated environments
- Z(1-α) = Quantile of the Z distribution at α=0.95
- σi= Relative standard deviation of genotype i across the evaluated environments
3. Results
3.1. Environmental Effects
3.2. Adaptability and Stability Analyses
3.3. Comparison of Climate Data Between 2004 and 2020-2024
4. Discussion
4.1. Importance of Muyuy, Rafael Belaunde, and San Miguel
4.2. GxE Interaction and Adaptability and Stability Analysis
4.3. Climate Change in the Amazon Region
4.4. Limitations and Future Research
5. Conclusions
Author Contributions
Funding
Data Availability Statement
Acknowledgments
Conflicts of Interest
Abbreviations
| GY | Grain yield |
| NPP | Number of pods per plant |
| DF | Days to flowering |
| DPM | Days to physiological maturity |
| DH | Days to harvest |
| GGE | Genotype + Genotype-by-Environment interaction |
| AMMI | Additive Main effects and Multiplicative Interaction |
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| Characteristics | Unit | Environments | ||
| San Miguel | Rafael Belaunde |
Muyuy | ||
| Clay | (%) | 34.1 | 16.1 | 34.6 |
| Silt | (%) | 57.3 | 23.3 | 52.6 |
| Sand | (%) | 8.6 | 60.6 | 12.8 |
| pH H2O | 5.7 | 7.2 | 5.5 | |
| P | mg/kg | 18.2 | 7.5 | 13.9 |
| H⁺ + Al³⁺ | cmolc/dm³ | 0.5 | 0.3 | 0.3 |
| K+ | cmolc/dm³ | 0.2 | 0.1 | 0.1 |
| Ca2+ | cmolc/dm³ | 9.3 | 5.1 | 18.2 |
| Mg2+ | cmolc/dm³ | 2.9 | 0.5 | 3.0 |
| ECEC | cmolc/dm³ | 12.8 | 6.0 | 21.6 |
| m | % | 3.9 | 5.0 | 1.4 |
| Organic Carbon | % | 0.9 | 0.3 | 0.8 |
| N | % | 0.1 | 0.0 | 0.1 |
| Bulk density | g/cm3 | 1.3 | 1.5 | 0.0 |
| Mean Square | ||||||
| FV | GL | Yield grain (kg/ha) |
Number of pods per plant |
Days to flowering | Days to Physiological maturity |
Days to harvest |
| Environment (E) | 2 | 1564786.7** | 1109.9** | 1.7** | 30.5** | 27.7** |
| Block/E | 3 | 24993.0ns | 73.9* | 1.4* | 4.0* | 18.0** |
| Genotype (G) | 11 | 8971.4ns | 34.0ns | 9.9** | 25.0** | 10.1** |
| GxE | 22 | 8490.9ns | 15.2ns | 0.8* | 3.6** | 2.2* |
| Error | 33 | 22705.7 | 17.7 | 0.4 | 1.1 | 1.1 |
| Total | 71 | |||||
| Mean | 815.38 | 33.25 | 43.19 | 62.32 | 69.47 | |
| CV (%) | 18.82 | 12.66 | 1.39 | 1.66 | 1.50 | |
| Environment | Yield grain (kg/ha) | Number of pods per plant | Days to flowering | Days to physiological maturity | Days to harvest |
| Muyuy | 1027.8a | 40.2a | 43.5a | 63.3a | 70.7a |
| Rafael Belaunde | 532.1c | 26.6c | 43.1b | 62.6b | 69.2b |
| San Miguel | 886.3b | 33.0b | 43.0b | 61.1c | 68.6b |
| Site | Mean | Ij | Class |
| Grain yield - GY (kg ha-1) | |||
| San Miguel | 886.25 | 70.87 | Favorable |
| Rafael Belaunde | 532.08 | -283.29 | Unfavorable |
| Muyuy | 1027.79 | 212.41 | Favorable |
| Number of pods per plant - NPP | |||
| San Miguel | 32.96 | -0.29 | Unfavorable |
| Rafael Belaunde | 26.60 | -6.65 | Unfavorable |
| Muyuy | 40.19 | 6.94 | Favorable |
| Days to flowering - DF† | |||
| San Miguel | 43.00 | -0.19 | Favorable |
| Rafael Belaunde | 43.08 | -0.11 | Favorable |
| Muyuy | 43.50 | 0.31 | Unfavorable |
| Days to physiological maturity - DPM† | |||
| San Miguel | 61.08 | -1.24 | Favorable |
| Rafael Belaunde | 62.58 | 0.26 | Unfavorable |
| Muyuy | 63.29 | 0.97 | Unfavorable |
| Days to harvest - DH† | |||
| San Miguel | 68.58 | -0.89 | Favorable |
| Rafael Belaunde | 69.17 | -0.31 | Favorable |
| Muyuy | 70.67 | 1.19 | Unfavorable |
| Lines | Yield grain (kg ha-1)† | Number of pods per plant | Days to flowering | Days to physiological maturity | Days to harvest |
| CAR 3002 | 780. 6 | 35.2 | 42.5de | 62.3c | 69.8a |
| CAR 3003 | 753.4 | 36.2 | 40.7f | 60.5e | 68.0b |
| CAR 3004 | 778.6 | 34.0 | 42.2e | 61.0de | 70.3a |
| CAR 3005 | 825.5 | 35.3 | 45.0a | 65.0ab | 70.0a |
| CAR 3006 | 799.0 | 31.9 | 42.0e | 64.3b | 68.0b |
| CAR 3009 | 845.7 | 31.3 | 45.0a | 62.0cd | 70.3a |
| CAR 3010 | 897.5 | 34.2 | 43.3c | 61.0de | 70.3a |
| CAR 3013 | 852.7 | 33.2 | 44.2b | 64.7ab | 70.2a |
| CAR 3014 | 799.2 | 27.4 | 44.3ab | 65.7a | 70.2a |
| CAR 3015 | 804.0 | 31.9 | 43.0cd | 60.0e | 70.2a |
| cv. CAU 9 (TM) | 817.6 | 34.9 | 43.2cd | 60.8de | 66.3c |
| cv. Vaina Blanca (TL) | 830.4 | 33.5 | 43.0cd | 60.5e | 70.0a |
| Wi(%)† | ||||||
| N° | Genotype | GY | NPP | DF* | DPM* | DH* |
| 1 | CAR 3002 | 81.16 | 100.56 | 100.69 | 102.57 | 104.66 |
| 2 | CAR 3003 | 90.61 | 84.57 | 97.58 | 99.03 | 99.70 |
| 3 | CAR 3004 | 67.98 | 86.25 | 101.41 | 100.16 | 102.57 |
| 4 | CAR 3005 | 81.59 | 98.41 | 105.23 | 107.45 | 103.33 |
| 5 | CAR 3006 | 90.68 | 87.96 | 98.23 | 105.68 | 100.27 |
| 6 | CAR 3009 | 95.71 | 88.22 | 105.23 | 99.03 | 102.57 |
| 7 | CAR 3010 | 103.54 | 101.86 | 101.52 | 102.49 | 102.57 |
| 8 | CAR 3013 | 89.40 | 91.62 | 106.02 | 100.94 | 103.83 |
| 9 | CAR 3014 | 85.37 | 53.19 | 106.46 | 111.59 | 102.92 |
| 10 | CAR 3015 | 79.55 | 86.97 | 100.57 | 107.80 | 102.92 |
| 11 | cv. CAU 9 (TM) | 92.80 | 100.80 | 100.12 | 99.18 | 98.63 |
| 12 | cv. Vaina Blanca (TL) | 95.82 | 91.61 | 100.69 | 100.14 | 103.33 |
|
† alpha=0.05, z=1.645 * Wi was estimated by adapting the Annicchiarico index as described in formula 4. Lines with Wi values less than 100% were considered suitable for earliness. | ||||||
| Variable | n | Mean (2004) | Mean (2020-2024) |
Difference | t | p-value |
| Mean Temperature (°C) | 90 | 26.39 | 26.96 | 0.57 | -3.42 | 0.0009 |
| Max. Temperature (°C) | 90 | 30.96 | 32.18 | 1.21 | -4.98 | <0.0001 |
| Min. Temperature (°C) | 90 | 21.96 | 22.71 | 0.75 | -6.66 | <0.0001 |
| Sunshine Hours | 92 | 3.72 | 3.96 | 0.25 | -0.73 | 0.4699 |
| Precipitation (mm) | 92 | 3.12 | 5.38 | 2.26 | -2.71 | 0.0081 |
| Relative Humidity (%) | 90 | 93.63 | 87.03 | -6.60 | 20.85 | <0.0001 |
| Variable | n | Mean (2005-2007) |
Mean (2020-2024) |
Difference | t | p-value |
| Mean Temperature (°C) | 92 | 27.07 | 26.96 | -0.11 | 0.98 | 0.3277 |
| Max. Temperature (°C) | 92 | 32.04 | 32.15 | 0.12 | -0.88 | 0.3817 |
| Min. Temperature (°C) | 92 | 22.01 | 22.72 | 0.71 | -8.73 | <0.0001 |
| Sunshine Hours | 92 | 5.38 | 3.96 | -1.41 | 5.80 | <0.0001 |
| Precipitation (mm) | 92 | 4.26 | 5.38 | 1.12 | -1.44 | 0.1538 |
| Relative Humidity (%) | 92 | 87.23 | 87.04 | -0.19 | 0.66 | 0.5131 |
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