Uncovering the Differences in Environmental Justice of Passenger and Freight Transportation Emissions Through Multi-Task Interpretable Deep Learning
Abstract
1. Introduction
2. Literature Review
2.1. Transportation-Related Environmental Justice
2.2. Passenger–Freight Differentiation and the Rise of Freight Justice
2.3. Urban Form, Compactness, and Nonlinear Mechanisms of Transport Injustice
3. Proposed Methodology
3.1. Construction of the Injustice Index and Spatial Pattern Analysis
3.2. Multi-Task Learning Model for Predicting Passenger and Freight Environmental Injustice
| Algorithm 1 Two-stage training procedure of the multi-task TabNet model. |
| Require: Shared variables , passenger-specific variables , freight-specific variables , passenger target , freight target , pretraining weight , task weight , regularization coefficient , maximum epochs and . Ensure: Trained parameters , , and . 1: Initialize the shared encoder and two temporary task heads. 2: For each epoch from 1 to , feed only into the shared encoder and generate temporary passenger and freight predictions. 3: Compute in Equation (11). 4: Update the shared encoder and temporary heads by backpropagation. 5: Save the pretrained encoder parameters . 6: Initialize the final multi-task model using as the shared encoder. 7: Attach the passenger-specific head with input and the freight-specific head with input . 8: For each epoch from 1 to , compute the passenger and freight predictions using Equation (9). 9: Compute and in Equation (10), then compute in Equation (12). 10: Update , , and jointly by backpropagation. 11: Monitor the validation loss and stop training when early stopping criteria are met. 12: Return the trained parameters of the final model. |
4. Data and Model Settings
4.1. Data
4.2. Model Settings
5. Results
5.1. Spatial Divergence and Dependence of Passenger and Freight Transportation Injustice
5.2. Analysis of Prediction Results
5.3. Interpretation Results of the Mechanisms of Passenger and Freight EIIs
6. Discussion
6.1. Local Governance Framework for Passenger Injustice
6.2. National Governance Framework for Freight Injustice
6.3. Coordinated Multi-Level Mitigation System
7. Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
Abbreviations
| EII | Exposure Injustice Index |
| PCA | Principal Component Analysis |
| UCI | Urban Compactness Index |
| SHAP | SHapley Additive exPlanations |
| NFN | National Highway Freight Network |
| MT-TabNet | Multi-Task TabNet |
| ST-TabNet | Single-Task TabNet |
| MAE | Mean Absolute Error |
| MAPE | Mean Absolute Percentage Error |
| RMSE | Root Mean Squared Error |
| R2 | Coefficient of Determination |
| ACS | American Community Survey |
| LEHD | Longitudinal Employer-Household Dynamics |
| FHWA | Federal Highway Administration |
| BEA | Bureau of Economic Analysis |
| EPA | Environmental Protection Agency |
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| Variable Name | Definition | Passenger Task | Freight Task |
|---|---|---|---|
| Passenger EII | Exposure injustice level of passenger transportation emissions | Yes | No |
| Freight EII | Exposure injustice level of freight transportation emissions | No | Yes |
| Median household income | Overall income level of county residents | Yes | Yes |
| Minority share | Racial and ethnic composition | Yes | Yes |
| Urban compactness index | Integrated urban-form characteristic | Yes | Yes |
| Population density | Intensity of population concentration | Yes | Yes |
| Retail employment density | Local consumption-oriented employment intensity | Yes | Yes |
| Transportation and warehousing employment density | Logistics and freight-related employment intensity | Yes | Yes |
| Manufacturing employment density | Industrial production intensity | Yes | Yes |
| Private vehicle ownership rate | Dependence on private car use | Yes | No |
| Public transit mode share | Share of public transport in daily mobility | Yes | No |
| Passenger traffic pressure | Passenger-dominated traffic intensity | Yes | No |
| Truck traffic intensity | Freight traffic intensity | No | Yes |
| NFN corridor dummy | Whether the county is traversed by the National Highway Freight Network | No | Yes |
| Freight hub dummy | Whether the county contains a major freight hub such as a seaport or cargo airport | No | Yes |
| Variable | Mean | Std. Dev. | Min | Max |
|---|---|---|---|---|
| Passenger EII (NOx) | 2.43 | 4.68 | 0.08 | 168.27 |
| Passenger EII (PM2.5) | 1.55 | 3.23 | 0.00 | 136.35 |
| Passenger EII (PM10) | 1.29 | 2.59 | 0.00 | 130.59 |
| Freight EII (NOx) | 2.83 | 11.78 | 0.07 | 616.16 |
| Freight EII (PM2.5) | 2.70 | 11.98 | 0.00 | 636.95 |
| Freight EII (PM10) | 2.29 | 10.87 | 0.00 | 588.34 |
| Median household income | 54,975.47 | 14,613.51 | 0.00 | 147,111.00 |
| Minority share | 0.23 | 0.18 | 0.02 | 0.92 |
| Urban compactness index | 0.12 | 0.10 | 0.00 | 1.00 |
| Population density | 55.08 | 296.36 | 0.00 | 11,127.35 |
| Retail employment density | 2.56 | 16.91 | 0.00 | 821.00 |
| Transportation and warehousing employment density | 0.98 | 5.90 | 0.00 | 168.86 |
| Manufacturing employment density | 1.83 | 5.17 | 0.00 | 96.20 |
| Private vehicle ownership rate | 0.86 | 0.02 | 0.81 | 0.93 |
| Public transit mode share | 0.11 | 0.03 | 0.05 | 0.17 |
| Passenger traffic pressure | 2015.68 | 515.22 | 1000.00 | 4000.00 |
| Truck traffic intensity | 183.53 | 747.24 | 0.00 | 24,193.21 |
| NFN corridor dummy | 0.30 | 0.46 | 0.00 | 1.00 |
| Freight hub dummy | 0.12 | 0.33 | 0.00 | 1.00 |
| Hyperparameter | Description | Value/Selection Rule |
|---|---|---|
| Training–test split | Data split ratio | 7:3 |
| Cross-validation folds | Number of CV folds | 5 |
| Optimizer | Optimization method | Adam |
| Initial learning rate | Initial learning rate | 0.001 |
| Learning-rate schedule | Learning-rate decay rule | |
| Pretraining loss weight () | Stage I task weight | 0.5 |
| Task balance coefficient () | Stage II task weight | Grid search over ; final value = 0.5 |
| Feature dimension () | Feature representation size | 16 |
| Attention dimension () | Attention representation size | 16 |
| Number of decision steps () | Number of decision steps | 4 |
| Batch size | Mini-batch size | 256 |
| Sparsity regularization coefficient () | Sparsity penalty | |
| Maximum pretraining epochs () | Max epochs in Stage I | 100 |
| Maximum fine-tuning epochs () | Max epochs in Stage II | 200 |
| Early-stopping patience | Early-stopping patience | 10 |
| Transport Sector | Pollutant | Global Moran’s I | p-Value | Significant |
|---|---|---|---|---|
| Passenger | 0.0667 | 0.0060 | Yes | |
| Passenger | 0.0339 | 0.0070 | Yes | |
| Passenger | 0.0088 | 0.0350 | Yes | |
| Freight | 0.0198 | 0.0120 | Yes | |
| Freight | 0.0149 | 0.0200 | Yes | |
| Freight | 0.0104 | 0.0230 | Yes |
| Sector | Pollutant | High–High | Low–Low | High–Low | Low–High | Not Significant |
|---|---|---|---|---|---|---|
| Passenger | 173 | 74 | 18 | 37 | 2823 | |
| Passenger | 169 | 19 | 23 | 55 | 2859 | |
| Passenger | 143 | 22 | 34 | 50 | 2876 | |
| Freight | 117 | 0 | 20 | 30 | 2958 | |
| Freight | 109 | 0 | 22 | 34 | 2960 | |
| Freight | 99 | 1 | 25 | 33 | 2967 |
| Pollutant | Passenger Hotspots | Freight Hotspots | Overlapping | Overlap Ratio (%) |
|---|---|---|---|---|
| 2367 | 1911 | 1737 | 68.36 | |
| 1596 | 1917 | 1291 | 58.10 | |
| 1103 | 1805 | 893 | 44.32 |
| Model | Passenger EII | Freight EII | ||||||
|---|---|---|---|---|---|---|---|---|
| MAE | MAPE | RMSE | MAE | MAPE | RMSE | |||
| RF | 0.858 | 0.188 | 16.52 | 0.258 | 0.841 | 0.197 | 17.08 | 0.273 |
| XGBoost | 0.879 | 0.176 | 15.21 | 0.244 | 0.862 | 0.186 | 16.03 | 0.259 |
| Transformer | 0.868 | 0.182 | 15.74 | 0.249 | 0.853 | 0.192 | 16.47 | 0.264 |
| ST-TabNet | 0.887 | 0.171 | 14.88 | 0.239 | 0.871 | 0.181 | 15.61 | 0.252 |
| MT-TabNet | 0.904 | 0.159 | 13.92 | 0.226 | 0.889 | 0.170 | 14.86 | 0.239 |
| Model | Passenger EII | Freight EII | ||||||
|---|---|---|---|---|---|---|---|---|
| MAE | MAPE | RMSE | MAE | MAPE | RMSE | |||
| RF | 0.861 | 0.185 | 16.31 | 0.255 | 0.844 | 0.195 | 16.89 | 0.270 |
| XGBoost | 0.883 | 0.173 | 14.97 | 0.240 | 0.865 | 0.183 | 15.78 | 0.255 |
| Transformer | 0.872 | 0.179 | 15.42 | 0.246 | 0.857 | 0.190 | 16.21 | 0.261 |
| ST-TabNet | 0.891 | 0.168 | 14.56 | 0.234 | 0.874 | 0.178 | 15.36 | 0.248 |
| MT-TabNet | 0.909 | 0.156 | 13.47 | 0.221 | 0.892 | 0.167 | 14.55 | 0.236 |
| Model | Passenger EII | Freight EII | ||||||
|---|---|---|---|---|---|---|---|---|
| MAE | MAPE | RMSE | MAE | MAPE | RMSE | |||
| RF | 0.852 | 0.191 | 16.88 | 0.262 | 0.836 | 0.201 | 17.46 | 0.278 |
| XGBoost | 0.874 | 0.179 | 15.46 | 0.248 | 0.857 | 0.189 | 16.24 | 0.264 |
| Transformer | 0.864 | 0.184 | 15.93 | 0.253 | 0.848 | 0.195 | 16.71 | 0.270 |
| ST-TabNet | 0.882 | 0.174 | 15.03 | 0.242 | 0.868 | 0.184 | 15.89 | 0.257 |
| MT-TabNet | 0.899 | 0.162 | 14.11 | 0.229 | 0.884 | 0.173 | 15.02 | 0.244 |
| Ablation Setting | Passenger EII | Freight EII | ||||||
|---|---|---|---|---|---|---|---|---|
| MAE | MAPE | RMSE | MAE | MAPE | RMSE | |||
| Full model | 0.899 | 0.162 | 14.11 | 0.229 | 0.884 | 0.173 | 15.02 | 0.244 |
| w/o Stage I pretraining | 0.886 | 0.173 | 15.05 | 0.241 | 0.867 | 0.186 | 16.08 | 0.256 |
| w/o shared encoder | 0.882 | 0.174 | 15.03 | 0.242 | 0.868 | 0.184 | 15.89 | 0.257 |
| w/o task-specific inputs | 0.862 | 0.186 | 16.17 | 0.253 | 0.838 | 0.202 | 17.42 | 0.278 |
| w/o sparsity reg | 0.892 | 0.166 | 14.39 | 0.234 | 0.878 | 0.178 | 15.31 | 0.247 |
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Zhu, H.; Liu, Z.; Yan, B. Uncovering the Differences in Environmental Justice of Passenger and Freight Transportation Emissions Through Multi-Task Interpretable Deep Learning. Sustainability 2026, 18, 5988. https://doi.org/10.3390/su18125988
Zhu H, Liu Z, Yan B. Uncovering the Differences in Environmental Justice of Passenger and Freight Transportation Emissions Through Multi-Task Interpretable Deep Learning. Sustainability. 2026; 18(12):5988. https://doi.org/10.3390/su18125988
Chicago/Turabian StyleZhu, Hanwen, Zhigang Liu, and Bing Yan. 2026. "Uncovering the Differences in Environmental Justice of Passenger and Freight Transportation Emissions Through Multi-Task Interpretable Deep Learning" Sustainability 18, no. 12: 5988. https://doi.org/10.3390/su18125988
APA StyleZhu, H., Liu, Z., & Yan, B. (2026). Uncovering the Differences in Environmental Justice of Passenger and Freight Transportation Emissions Through Multi-Task Interpretable Deep Learning. Sustainability, 18(12), 5988. https://doi.org/10.3390/su18125988
