
Figure 1.
Location of the study area and schematic diagram of the strip-plot arrangement of sunflower hybrid crops at the experimental fields of the Mykolaiv State Agricultural Research Station in 2019–2021
Table 1.
Main Timeline of the Experiments
| Year | Sowing Date | Harvest Date |
|---|---|---|
| 2019 | 24/04 | 26/08 |
| 2020 | 29/04 | 22/08 |
| 2021 | 10/05 | 12/09 |

Figure 2.
Climatic conditions of the sunflower growing season in 2019–2021: a – mean monthly air temperature (°C); b – precipitation amount (mm)

Figure 3.
Seasonal NDVI distribution of sunflower hybrids in the experimental field (2019)

Figure 4.
Seasonal NDVI distribution of sunflower hybrids in the experimental field (2020)

Figure 5.
Seasonal NDVI distribution of sunflower hybrids in the experimental field (2021)
Table 2.
Yield of Sunflower Hybrids Depending on Factors A (Hybrid), B (Plant Growth Regulator), and C (Study Year), (t/ha)
| Hybrid (A) | Regulator (B) | 2019 | 2020 | 2021 | Mean |
|---|---|---|---|---|---|
| Oplot | Control | 2.82 | 1.98 | 2.88 | 2.56 |
| Architect™ | 3.07 | 2.01 | 3.12 | 2.73 | |
| Helafit Combi | 3.10 | 2.04 | 3.11 | 2.75 | |
| Hector | Control | 1.92 | 1.54 | 2.04 | 1.83 |
| Architect™ | 2.14 | 1.68 | 2.23 | 2.02 | |
| Helafit Combi | 2.10 | 1.72 | 2.22 | 2.01 | |
| DSL403 | Control | 2.44 | 1.83 | 2.54 | 2.27 |
| Architect™ | 2.55 | 1.88 | 2.86 | 2.43 | |
| Helafit Combi | 2.60 | 1.93 | 2.90 | 2.48 | |
| P64HE133 | Control | 2.71 | 1.90 | 2.92 | 2.51 |
| Architect™ | 2.88 | 1.95 | 3.05 | 2.63 | |
| Helafit Combi | 2.89 | 2.02 | 3.10 | 2.67 | |
| 8KH477KL | Control | 2.22 | 1.68 | 2.41 | 2.10 |
| Architect™ | 2.37 | 1.71 | 2.96 | 2.35 | |
| Helafit Combi | 2.37 | 1.74 | 3.09 | 2.40 |

Figure 6.
Effect of multifunctional plant growth regulators on the productivity increase of sunflower hybrids in the steppe zone
Table 3.
Results of Analysis of Variance (GLM) of the Effects of Year, Hybrid, and Plant Growth Regulator on Sunflower Yield under a Non-Replicated Strip-Plot Field Experiment
| Source of variation | df | SS | MS | F | p |
|---|---|---|---|---|---|
| Year | 2 | 6.9618 | 3.4809 | 131.2198 | < 0.0001 |
| Hybrid | 4 | 2.9755 | 0.7439 | 28.0416 | < 0.0001 |
| Regulator | 2 | 0.3722 | 0.1861 | 7.0150 | 0.0034 |
| Hybrid × Regulator | 8 | 0.0219 | 0.0027 | 0.1033 | 0.9988 |
| Error | 28 | 0.7428 | 0.0265 | – | – |
Table 4.
Least Significant Difference (LSD0.05), (t/ha)
| Source of variation | n | LSD0.05, t/ha |
|---|---|---|
| Factor A (Hybrid) | 9 | 0.157 |
| Factor B (Regulator) | 15 | 0.122 |
| Factor C (Year) | 15 | 0.122 |
| Interaction A×B | 3 | 0.272 |
Table 5.
Multiple Comparison of Mean Yield Values by Regulator Factor (Tukey HSD, p ≤ 0.05)
| Regulator | Yield, t/ha (mean) | Δ to Control, t/ha | Δ, % | Tukey group |
|---|---|---|---|---|
| Control | 2.33 | — | — | a |
| Architect™ | 2.51 | +0.18 | +7.7 | b |
| Helafit Combi | 2.55 | +0.22 | +9.4 | b |
Table 6.
Effect of Foliar Application of Plant Growth Regulators on Sunflower Yield (Average for 2019–2021)
| Hybrid | Control | Architect™ | Helafit Combi | ΔA, t/ha | ΔA, % | ΔH, t/ha | ΔH, % |
|---|---|---|---|---|---|---|---|
| Oplot | 2.56 | 2.73 | 2.75 | +0.17 | +6.6 | +0.19 | +7.4 |
| Hector | 1.83 | 2.02 | 2.01 | +0.19 | +10.4 | +0.18 | +9.8 |
| DSL403 | 2.27 | 2.43 | 2.48 | +0.16 | +7.0 | +0.21 | +9.3 |
| P64HE133 | 2.51 | 2.63 | 2.67 | +0.12 | +4.8 | +0.16 | +6.4 |
| 8KH477KL | 2.10 | 2.35 | 2.40 | +0.25 | +11.9 | +0.30 | +14.3 |

Figure 7.
Spatial differentiation of the generalised values of the NDVI for sunflower hybrids from 2019 to 2021: a – cartograms; b – histogram; c – cumulative curve

Figure 8.
Cartograms of distribution of the crop yields of sunflower hybrids in 2019–2021

Figure 9.
Spatial differentiation of sunflower hybrid productivity in 2019–2021: a – graph of spatial differentiation; b – histogram; c – cumulative curve
Table 7.
Three-way ANOVA results for sunflower yield explained by Hybrid, Year and NDVIphase indices (GLM)
| Source of variation | df | SS | MS | F | p | η2 | Partial η2 |
|---|---|---|---|---|---|---|---|
| Hybrid (A) | 4 | 2.98 | 0.745 | 28.04 | <0.0001 | 0.19 | 0.31 |
| Year (C) | 2 | 6.96 | 3.481 | 131.22 | <0.0001 | 0.44 | 0.67 |
| NDVI phase (D) | 2 | 1.84 | 0.920 | 34.67 | <0.0001 | 0.12 | 0.29 |
| A × C | 8 | 0.64 | 0.080 | 3.02 | 0.011 | 0.04 | 0.09 |
| A × D | 8 | 0.51 | 0.064 | 2.41 | 0.031 | 0.03 | 0.07 |
| C × D | 4 | 0.73 | 0.182 | 6.87 | 0.0003 | 0.05 | 0.14 |
| A × C × D | 16 | 0.58 | 0.036 | 1.36 | 0.148 | 0.04 | 0.06 |
| Error | 210 | 5.57 | 0.0265 | – | – | – | – |
| Total | 254 | 19.81 | – | – | – | 1.00 | – |
Table 8.
Parameters of OLS Models for Forecasting Yield of Sunflower Hybrids Based on Phase-Specific NDVI Indices (Combined Data for 2019–2021)
| Hybrid | β 0 | β1 NDVI16-19 | β2 NDVI61-67 | β3 NDVI79-80 | R2 | RMSE | MAE | MAPE, % |
|---|---|---|---|---|---|---|---|---|
| 8KH477KL | −1.960 | 16.780 | 7.098 | −0.583 | 0.979 | 0.078 | 0.062 | 2.81 |
| DSL403 | −1.363 | 1.454 | 6.067 | 9.598 | 0.972 | 0.072 | 0.052 | 2.33 |
| Hector | −0.609 | 14.556 | 4.232 | −2.925 | 0.919 | 0.076 | 0.051 | 2.60 |
| Oplot | −0.106 | 9.787 | 0.822 | 16.552 | 0.952 | 0.113 | 0.092 | 3.90 |
| P64HE133 | −1.547 | 18.034 | 5.034 | 6.533 | 0.978 | 0.076 | 0.056 | 2.44 |

Figure 10.
Level of approximation of the universal yield forecasting model for the sunflower hybrid Oplot based on data from 2019–2021
Table 9.
Parameters of OLS Models for Forecasting Yield of Sunflower Hybrids Based on the Integrated NDVIyear Index (Differentiated by Year-Type Moisture Regime, 2019–2021)
| Year | Hybrid | n | a | b | R2 | RMSE | MAE | MAPE, % |
|---|---|---|---|---|---|---|---|---|
| 2019 | 8KH477KL | 74 | 0.402 | 6.346 | 0.973 | 0.010 | 0.008 | 0.34 |
| DSL403 | 126 | 0.506 | 6.535 | 0.832 | 0.016 | 0.013 | 0.50 | |
| Hector | 127 | 0.281 | 5.838 | 0.857 | 0.016 | 0.012 | 0.58 | |
| Oplot | 183 | 0.402 | 8.415 | 0.832 | 0.030 | 0.023 | 0.76 | |
| P64HE133 | 112 | 0.450 | 7.816 | 0.931 | 0.017 | 0.014 | 0.50 | |
| 2020 | 8KH477KL | 417 | 0.430 | 4.645 | 0.712 | 0.025 | 0.020 | 1.19 |
| DSL403 | 618 | 0.310 | 5.614 | 0.859 | 0.019 | 0.014 | 0.72 | |
| Hector | 698 | 0.299 | 4.905 | 0.848 | 0.017 | 0.012 | 0.73 | |
| Oplot | 818 | 0.257 | 6.430 | 0.899 | 0.022 | 0.018 | 0.87 | |
| P64HE133 | 578 | 0.434 | 5.377 | 0.689 | 0.027 | 0.021 | 1.08 | |
| 2021 | 8KH477KL | 363 | 0.705 | 6.544 | 0.833 | 0.043 | 0.035 | 1.26 |
| DSL403 | 364 | 0.219 | 7.791 | 0.978 | 0.023 | 0.013 | 0.45 | |
| Hector | 363 | 0.518 | 5.853 | 0.986 | 0.024 | 0.017 | 0.78 | |
| Oplot | 361 | 0.345 | 9.943 | 0.969 | 0.035 | 0.028 | 0.94 | |
| P64HE133 | 364 | 0.166 | 8.679 | 0.966 | 0.026 | 0.015 | 0.51 |