A UAV Hyperspectral Inversion Framework for Mapping Soil Heavy Metals Based on Spectral Harmonization, Weighted Ensemble Learning, and Environmental Variable Integration
Highlights
- An interpretable UAV–laboratory synergistic framework integrating spectral harmonization, weighted ensemble learning, and environmental covariates successfully mapped soil Cd and Pb in an open-pit mining area, achieving the best predictive performance (R2 = 0.85).
- SHAP and Grad-CAM analyses showed that Cd prediction was mainly associated with the 440–580 nm range and pH–SOM interactions, whereas Pb prediction was dominated by the 720–740 nm range and SOM–SMC coupling.
- The framework demonstrates that UAV hyperspectral inversion, when combined with spectral transfer correction and stable ensemble learning, can provide reliable and interpretable monitoring of soil heavy metals in complex mining environments.
- By linking UAV spectral observations with model-derived spectral responses and environmental associations through explainable AI, this study provides a practical and interpretable framework for Cd and Pb mapping, balancing predictive accuracy, model stability, and mechanistic interpretability.
Abstract
1. Introduction
2. Materials and Methods
2.1. Study Area
2.2. Data Acquisition: Synchronous Air-Ground Observation
2.3. Spectral Processing and Feature Engineering
2.3.1. UAV Image Preprocessing and Spectrum Extraction
2.3.2. Spectral Scale Transfer via Direct Standardization (DS)
2.3.3. Advanced Preprocessing and Feature Selection
2.4. Predicting Model for Soil Pollution by Heavy Metals
2.4.1. Machine Learning Baseline Models
2.4.2. Voting Ensemble Model
2.4.3. Convolutional Neural Network (CNN)
2.5. Multi-Scenario Inversion Modeling
2.6. Explainable AI Framework
2.6.1. SHapley Additive Explanation (SHAP)
2.6.2. Grad-CAM-Based Interpretation of Convolutional Feature Responses
2.7. Evaluation of Model Performance
2.8. Workflow
3. Results and Discussion
3.1. Descriptive Statistics of the Heavy Metals Content
3.2. Characteristics of Soil Spectral Reflectance
3.2.1. Spectroscopic Calibration via Direct Standardization
3.2.2. Spectral Preprocessing and Feature Band Selection
3.3. Model Performance Evaluation
3.3.1. Preliminary Performance Screening of Machine Learning Models
3.3.2. Evaluation of Heavy-Metal Concentration Prediction
3.3.3. Comparison of Ensemble and CNN Models and Mapping of Heavy-Metal Concentrations
3.4. Spatial Analysis and Model Interpretation in Black Box Systems
3.4.1. Effects of Different Environmental Covariates on Model Accuracy
3.4.2. Screening of Characteristic Variables Based on SHAP
3.4.3. Grad-CAM-Based Visualization of CNN Spectral Attention and Deep Feature Responses
3.5. Identification of Heavy-Metal-Sensitive Wavelengths via Multi-Model Sensitivity Analysis
3.6. Limitations and Future Prospects
4. Conclusions
Author Contributions
Funding
Data Availability Statement
Conflicts of Interest
Abbreviations
| HMs | Heavy Metals |
| CNN | Convolutional Neural Network |
| DS | Direct Standardization |
| ICP-AES | Inductively Coupled Plasma Atomic Emission Spectrometry |
| SOM | Soil Organic Matter |
| SMC | Soil Moisture Content |
| FD | First Derivative |
| SD | Second Derivative |
| MSC | Multiplicative Scatter Correction |
| SNV | Standard Normal Variate |
| SG | Savitzky–Golay smoothing |
| DSI | Difference Spectral Index |
| RSI | Ratio Spectral Index |
| NDSI | Normalized Difference Spectral Index |
| RR | Ridge Regression |
| KNN | k-Nearest Neighbors |
| SVM | Support Vector Machine |
| BPNN | Back Propagation Neural Network |
| RF | Random Forest |
| GBDT | Gradient Boosting Decision Tree |
| XGBoost | Extreme Gradient Boosting |
| RMSE | Root Mean Square Error |
| SHAP | SHapley Additive explanation |
| Grad-CAM | Gradient-weighted Class Activation Mapping |
Appendix A
Appendix A.1. Study Area
Appendix A.2. Laboratory Spectral Data Acquisition
Appendix A.3. Comparison of Spectral Preprocessing Methods







| Main Technical Details | Data |
|---|---|
| Spectral range | 400–1000 nm |
| Spectral resolution | 2.1 nm |
| Spectral channels | 561 |
| Spatial channels | 900 |
| Maximum frame rate | 249 fps |
| Scanning frequency | 320,000 points/s |
| UAV type | DJI M350 RTK |
| Main Flight Parameters | Data |
|---|---|
| Flight height | 100 m |
| Flight speed | 5 m/s |
| Time interval | 1 ms |
| Field of view | 17.6° |
| Side overlap | 75% |
| Forward overlap | 80% |
| Category | Component | Configuration |
|---|---|---|
| Input | Input data | Standardized spectral features |
| Input | Input shape | samples × 1 × spectral bands |
| Convolution block 1 | Conv1D | 32 filters, kernel size = 5, stride = 1, padding = 0 |
| Convolution block 1 | Batch normalization | BatchNorm1D, 32 channels |
| Convolution block 1 | Activation | ReLU |
| Convolution block 1 | Pooling | MaxPool1D, kernel size = 2, stride = 2 |
| Convolution block 2 | Conv1D | 64 filters, kernel size = 3, stride = 1, padding = 0 |
| Convolution block 2 | Batch normalization | BatchNorm1D, 64 channels |
| Convolution block 2 | Activation | ReLU |
| Convolution block 2 | Pooling | MaxPool1D, kernel size = 2, stride = 2 |
| Convolution block 3 | Conv1D | 128 filters, kernel size = 3, stride = 1, padding = 0 |
| Convolution block 3 | Batch normalization | BatchNorm1D, 128 channels |
| Convolution block 3 | Activation | ReLU |
| Convolution block 3 | Pooling | MaxPool1D, kernel size = 2, stride = 2 |
| Fully connected layer | Flatten | Flattened convolutional features |
| Fully connected layer | Dense layer 1 | 128 neurons, ReLU |
| Regularization | Dropout 1 | Dropout rate = 0.3 |
| Fully connected layer | Dense layer 2 | 64 neurons, ReLU |
| Regularization | Dropout 2 | Dropout rate = 0.2 |
| Output | Regression output | 1 neuron, linear output |
| Loss function | MSE | Mean squared error |
| Optimizer | Adam | Learning rate = 1 × 10−3 |
| Regularization | Weight decay | 1 × 10−4 |
| Batch size | Mini-batch size | 16 |
| Training epochs | Maximum epochs | 100 |
| Learning-rate scheduler | ReduceLROnPlateau | patience = 5, factor = 0.5 |
| Early stopping | Criterion | Stop if validation loss does not improve for 15 consecutive epochs |
| Method | Curve Smoothness | Inter-Sample Dispersion | Shape Preservation | Main Effect | Selection |
|---|---|---|---|---|---|
| FD | High oscillation | Moderate | Low | Enhances local variation but amplifies noise | No |
| SD | Very high oscillation | Moderate | Low | Strongly enhances subtle features but amplifies high-frequency noise | No |
| MSC | Low | Low | High | Reduces scattering and improves curve consistency | Yes |
| Autoscale | Moderate | High | Moderate | Standardizes bands but may exaggerate local variation | No |
| SNV | Low | Low | High | Suppresses scattering noise and reduces dispersion | Yes |
| SG | Lowest | Moderate | High | Smooths spikes and high-frequency noise | Yes |
| Normalization | Low | Low | Moderate | Compresses dynamic range | No |
| Mean centering | Moderate | Moderate | Moderate | Enhances relative variation but retains noise | No |
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Yu, J.; Chen, Z.; Yi, H.; Chi, T.; Wang, S.; Zhang, L.; Fan, W.; Huo, M. A UAV Hyperspectral Inversion Framework for Mapping Soil Heavy Metals Based on Spectral Harmonization, Weighted Ensemble Learning, and Environmental Variable Integration. Remote Sens. 2026, 18, 1687. https://doi.org/10.3390/rs18111687
Yu J, Chen Z, Yi H, Chi T, Wang S, Zhang L, Fan W, Huo M. A UAV Hyperspectral Inversion Framework for Mapping Soil Heavy Metals Based on Spectral Harmonization, Weighted Ensemble Learning, and Environmental Variable Integration. Remote Sensing. 2026; 18(11):1687. https://doi.org/10.3390/rs18111687
Chicago/Turabian StyleYu, Jiaao, Zhen Chen, Hongchen Yi, Tianni Chi, Shuangjian Wang, Leilei Zhang, Wei Fan, and Mingxin Huo. 2026. "A UAV Hyperspectral Inversion Framework for Mapping Soil Heavy Metals Based on Spectral Harmonization, Weighted Ensemble Learning, and Environmental Variable Integration" Remote Sensing 18, no. 11: 1687. https://doi.org/10.3390/rs18111687
APA StyleYu, J., Chen, Z., Yi, H., Chi, T., Wang, S., Zhang, L., Fan, W., & Huo, M. (2026). A UAV Hyperspectral Inversion Framework for Mapping Soil Heavy Metals Based on Spectral Harmonization, Weighted Ensemble Learning, and Environmental Variable Integration. Remote Sensing, 18(11), 1687. https://doi.org/10.3390/rs18111687

