
Figure 1.
Measurement of tulips’ roots with 3D scanning WhinRhizo program (a: control, b: 100 ppm, c: 200 ppm and d: 400 ppm).

Figure 2.
The MLP structure with 7 inputs, 4 outputs, and 10 hidden neurons.

Figure 3.
Change rate of plant upper part characteristics compared to control values after GA3 applications. GA3: gibberellic acid.
Table 1.
Correlations between vegetative, root architectural properties and bulb nutritional content.
| Flower stem length (cm) | Number of flover | Flower stem diameter (mm) | Perianth length (cm) | Number of leaves | Leaflength (cm) | Leaf width (cm) | Mother bulb diameter (mm) | Number of bulblet | Bulblet diameter (mm) | Bulblet weight (g) | N (%) | P (%) | K (%) | Ca (%) | Mg (%) | Fe (mg · kg−1) | Cu (mg · kg−1) | Zn (mg · kg−1) | Mn (mg · kg−1) | Root length (cm) | Root surface area (cm2) | Root diameter (mm) | Root volume (cm3) | Number of tips | Number of forks | Number of crossings | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Plant height (cm) | 0.996** | –0.994** | –0.919 | 0.603 | –0.952* | 0.992** | 0.978* | 0.450 | 0.740 | –0.242 | 0.236 | 0.262 | –0.991** | –0.725 | 0.192 | 0.401 | 0.324 | –0.186 | 0.165 | –0.664 0.277 | –0.295 | –0.180 | 0.452 | 0.123 | –0.489 | 0.058 | –0.614 |
| Flower stem length (cm) | –0.998** | –0.931 | 0.543 | –0.955* | 0.979* | 0.982* | 0.372 | 0.678 | –0.210 | 0.234 | 0.305 | –0.975* | –0.684 | 0.267 | 0.356 | 0.408 | –0.160 | 0.198 | –0.729 0.283 | –0.277 | –0.215 | 0.383 | 0.039 | –0.493 | 0.033 | –0.671 | |
| Number of hovers | 0.908 | –0.512 | 0.971* | –0.973* | –0.969* | –0.351 | –0.667 | 0.264 | –0.292 | –0.355 | 0.972* | 0.715 | –0.238 | –0.402 | –0.412 | 0.216 | –0.144 | 0.734 -0.225 | 0.220 | 0.161 | –0.351 | –0.060 | 0.440 | –0.090 | 0.644 | ||
| Flower stem diameter | –0.617 | 0.784 | –0.917 | –0.981* | –0.372 | –0.612 | –0.158 | 0.127 | –0.034 | 0.895 | 0.400 | –0.504 | –0.008 | –0.442 | –0.211 | –0.540 | 0.712 -0.606 | 0.569 | 0.553 | –0.456 | 0.180 | 0.768 | 0.333 | 0.837 | |||
| Perianth length (cm) | –0.380 | 0.695 | 0.629 | 0.948 | 0.927 | 0.090 | –0.32 | –0.560 | –0.689 | –0.431 | –0.159 | 0.151 | –0.427 | 0.185 | 0.322 | 0.107 0.594 | –0.756 | –0.310 | 0.982* | 0.468 | –0.684 | –0.272 | –0.182 | ||||
| Number of leaves | –0.917 | –0.881 | –0.274 | –0.614 | 0.473 | –0.512 | –0.533 | 0.928 | 0.820 | –0.096 | –0.578 | –0.399 | 0.435 | 0.085 | 0.715 0.014 | –0.011 | –0.066 | –0.228 | –0.157 | 0.213 | –0.319 | 0.503 | |||||
| Leaf length (cm) | 0.974* | 0.553 | 0.811 | –0.214 | 0.171 | 0.155 | –0.998** | –0.726 | 0.139 | 0.394 | 0.220 | –0.149 | 0.188 | –0.578 0.331 | –0.374 | –0.199 | 0.558 | 0.192 | –0.537 | 0.021 | –0.573 | ||||||
| Leaf width (cm) | 0.425 | 0.693 | –0.034 | 0.045 | 0.140 | –0.962* | –0.569 | 0.357 | 0.202 | 0.386 | 0.022 | 0.368 | –0.697 0.459 | –0.451 | –0.382 | 0.471 | –0.029 | –0.650 | –0.149 | –0.742 | |||||||
| Mother bulb weight (g) | 0.927 | –0.117 | –0.182 | –0.546 | –0.562 | –0.513 | –0.463 | 0.339 | –0.666 | –0.024 | 0.045 | 0.351 0.354 | –0.573 | –0.029 | 0.978* | 0.715 | –0.431 | –0.042 | 0.135 | ||||||||
| Mother bulb diameter (mm) | –0.278 | 0.047 | –0.242 | –0.823 | –0.738 | –0.340 | 0.501 | –0.390 | –0.186 | 0.007 | 0.009 0.288 | –0.468 | –0.001 | 0.893 | 0.646 | –0.440 | 0.087 | –0.087 | |||||||||
| Number of bulblet | –0.943 | –0.653 | 0.266 | 0.814 | 0.701 | –0.971* | 0.186 | 0.995** | 0.917 | –0.014 0.829 | –0.718 | –0.910 | 0.083 | –0.680 | –0.694 | –0.979* | –0.478 | ||||||||||
| Bulblet diameter (mm) | 0.866 | –0.216 | –0.705 | –0.457 | 0.861 | 0.128 | –0.964* | –0.854 | –0.233 -0.866 | 0.840 | 0.839 | –0.362 | 0.398 | 0.730 | 0.951* | 0.294 | |||||||||||
| Bulblet weight (g) | –0.179 | –0.439 | 0.037 | 0.526 | 0.598 | –0.702 | –0.539 | –0.608 -0.688 | 0.793 | 0.514 | –0.654 | –0.109 | 0.564 | 0.685 | –0.108 | ||||||||||||
| N (%) | 0.763 | –0.090 | –0.444 | –0.196 | 0.201 | –0.134 | 0.559 -0.284 | 0.335 | 0.145 | –0.555 | –0.235 | 0.494 | –0.073 | 0.532 | |||||||||||||
| p (%) | 0.491 | –0.918 | 0.128 | 0.764 | 0.534 | 0.216 0.353 | –0.221 | –0.526 | –0.374 | –0.678 | –0.147 | –0.679 | –0.071 | ||||||||||||||
| K(%) | –0.720 | 0.823 | 0.673 | 0.806 | –0.707 0.603 | –0.380 | –0.821 | –0.289 | –0.937 | –0.591 | –0.703 | –0.891 | |||||||||||||||
| Ca (%) | –0.269 | –0.944 | –0.825 | 0.018 -0.675 | 0.530 | 0.821 | 0.150 | 0.776 | 0.516 | 0.904 | 0.412 | ||||||||||||||||
| Mg (%) | 0.138 | 0.344 | –0.921 0.100 | 0.136 | –0.370 | –0.588 | –0.806 | –0.165 | –0.174 | –0.786 | |||||||||||||||||
| Fe (mg · kg−1) | 0.933 | 0.002 0.874 | –0.781 | –0.925 | 0.177 | –0.623 | –0.748 | –0.992** | –0.484 | ||||||||||||||||||
| Cu(mg·kg−1) | –0.305 0.950 | –0.840 | –1.000** | 0.250 | –0.657 | –0.901 | –0.969* | –0.749 | |||||||||||||||||||
| Zn (mg · kg−1) | –0.157 | –0.021 | 0.332 | 0.295 | 0.570 | 0.299 | 0.078 | 0.854 | |||||||||||||||||||
| Mn (mg·kg−1) | –0.966* | –0.944 | 0.539 | –0.390 | –0.973* | –0.925 | –0.645 | ||||||||||||||||||||
| Root length (cm) | 0.828 | –0.730 | 0.143 | 0.948 | 0.836 | 0.479 | |||||||||||||||||||||
| Root surface area (cm2) | –0.233 | 0.672 | 0.899 | 0.963* | 0.767 | ||||||||||||||||||||||
| Root diameter (mm) | 0.560 | –0.599 | –0.246 | –0.011 | |||||||||||||||||||||||
| Root volume (cm3) | 0.322 | 0.610 | 0.689 | ||||||||||||||||||||||||
| Number of tips | 0.825 | 0.730 | |||||||||||||||||||||||||
| Number of forks | 0.567 | ||||||||||||||||||||||||||
| Number of crossings |

Figure 4.
Change rate of bulb properties compared to control values after GA3 applications. GA3: gibberellic acid.

Figure 5.
Change rate of vase life compared to control values after GA3 applications. GA3: gibberellic acid.

Figure 6.
Change rate of bulb nutrient content compared to control values after GA3 applications. GA3: gibberellic acid.

Figure 7.
The rate of change of root architectural features compared to the control values of the analysis results after GA3 applications. GA3: gibberellic acid.

Figure 8.
DT obtained by J.48 Method. DT, decision tree.
Table 2.
Prediction performance of ML models representing the relationship between GA3 variables and the change of root architectural features of T. saxatilis.
| Classifiers | Accuracy (%) | Kappa | TP | FP | Precision | Recall | F-score |
|---|---|---|---|---|---|---|---|
| MultilayerPerceptron | 85.9 | 0.81 | 0.86 | 0.04 | 0.88 | 0.86 | 0.86 |
| Baggin | 74.2 | 0.65 | 0.74 | 0.08 | 0.75 | 0.74 | 0.74 |
| J48 | 85.7 | 0.80 | 0.86 | 0.05 | 0.87 | 0.86 | 0.86 |
| PART | 80.0 | 0.73 | 0.80 | 0.06 | 0.82 | 0.80 | 0.80 |
| LR | 94.3 | 0.92 | 0.94 | 0.01 | 0.94 | 0.94 | 0.94 |
| MCC | 88.6 | 0.85 | 0.87 | 0.04 | 0.90 | 0.89 | 0.88 |