journal article·2025-11-18Open access

Optimizing Vehicle Emission Estimation of On-Road Vehicles Using Deep Learning Frameworks

Egemen Belge, Rıdvan Keskin, Senol Hakan Kutoglu

Applied Sciences· Volume 15· Issue 22

Abstract

Vehicle, industrial, and urban emissions remain major contributors to air quality degradation, affecting public health and the level of environmental cleanliness. Cost-effective specific pollutant estimation models, i.e., for carbon monoxide CO, carbon dioxide CO2, and ammonia NH3, are essential to tackle the practical challenge of high-resolution monitoring for reducing vehicle emissions in traffic. Existing model design methods, however, may be insufficient, particularly for peak time estimations, since such models are typically designed using gridding-based vehicle-specific power polynomial and non-optimized artificial neural networks. In this paper, we propose vehicle emission models of pollutants based on a Bayesian Monte Carlo (MC) Dropout-based robust data-driven gated recurrent unit (BMC-GRU) method to enhance estimation robustness and mitigate the overfitting problem in the deep learning network. Bayesian optimization determines the optimal architecture by efficiently and probabilistically searching the hyperparameters of the network, while MC-Dropout quantifies epistemic uncertainty through multiple stochastic forward passes during testing. Therefore, the proposed method improves the models’ calibrations and robustness to distribution shifts. For benchmarking, least squares-based first- and fourth-order polynomials, conventional long-short term memory (LSTM), and bidirectional LSTM (BiLSTM)-based estimation models are designed. The proposed method outperforms the mentioned state-of-the-art methods with strong robust estimation performance. The experimental results on multiple real-world vehicle datasets demonstrate that the proposed method significantly outperforms state-of-the-art approaches. The method presents a promising solution for uncertainty-aware vehicle emission modeling that is applicable to transportation systems.
Source: crossref · Quality: baseline

Research context

OpenAlex topics: Vehicle emissions and performance · Air Quality Monitoring and Forecasting · Traffic Prediction and Management Techniques

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

Department of Electrical Electronic Engineering, Zonguldak Bulent Ecevit Üniversity, Zonguldak 67100, Türkiye

Department of Geomatics Engineering, Zonguldak Bulent Ecevit Üniversity, Zonguldak 67100, Türkiye

Funding

Research Fund of Zonguldak Bulent Ecevit University

References (59)

Show source-provided references
1. Investigating the effect of estimating urban air pollution considering transportation infrastructure layouts10.1016/j.trd.2024.104569 ↗
2. Smart prediction and optimization of air quality index with artificial intelligence10.1016/j.jes.2025.02.041 ↗
3. Integrated analysis of air quality-vegetation-health effects of near-future air pollution control strategies10.1016/j.envpol.2024.125407 ↗
4. Račić, N., Petrić, V., Mureddu, F., Portin, H., Niemi, J.V., Hussein, T., and Lovrić, M. (2025). A Proxy Model for Traffic Related Air Pollution Indicators Based on Traffic Count. Atmosphere, 16.10.3390/atmos16050538 ↗
5. The challenge to NO x emission control for heavy-duty diesel vehicles in China10.5194/acp-12-9365-2012 ↗
6. Low-cost video-based air quality estimation system using structured deep learning with selective state space modeling10.1016/j.envint.2025.109496 ↗
7. Estimating urban PM2. 5 concentration: An analysis on the nonlinear effects of explanatory variables based on gradient boosted regression tree10.1016/j.uclim.2022.101172 ↗
8. Validation of road vehicle and traffic emission models–A review and meta-analysis10.1016/j.atmosenv.2010.05.022 ↗
9. Assessing heavy-duty vehicles (HDVs) on-road NOx emission in China from on-board diagnostics (OBD) remote report data10.1016/j.scitotenv.2022.157209 ↗
10. Zhao, D., Li, H., Hou, J., Gong, P., Zhong, Y., He, W., and Fu, Z. (2023). A review of the data-driven prediction method of vehicle fuel consumption. Energies, 16.10.3390/en16145258 ↗
11. Dependence of pollutant emission factors and fuel consumption on driving conditions and gasoline vehicle types10.1016/j.apr.2020.10.016 ↗
12. Smit, R., Dia, H., and Morawska, L. (2009). Road traffic emission and fuel consumption modelling: Trends, new developments and future challenges. Traffic Related Air Pollution and Internal Combustion Engines, Nova Science Publishers, Inc.
13. Chan, K., Matthews, P., and Munir, K. (2025). Time Series Forecasting for Air Quality with Structured and Unstructured Data Using Artificial Neural Networks. Atmosphere, 16.10.3390/atmos16030320 ↗
14. MOVES versus MOBILE: Comparison of greenhouse gas and criterion pollutant emissions10.3141/2233-04 ↗
15. Evaluation of on-road vehicle CO and NOx National Emission Inventories using an urban-scale source-oriented air quality model10.1016/j.atmosenv.2013.11.020 ↗
16. Comparison of the MOVES2010a, MOBILE6. 2, and EMFAC2007 mobile source emission models with on-road traffic tunnel and remote sensing measurements10.1080/10962247.2012.699016 ↗
17. Kota, S.H., Ying, Q., and Schade, G.W. (2012, January 22–26). MOVES vs. MOBILE6. 2: Differences in emission factors and regional air quality predictions. Proceedings of the 91st Annual Meeting of the Transportation Research Board, Washington, DC, USA.
18. Simplified methodology to estimate emissions from mobile sources for ambient air quality assessment10.1061/(ASCE)0733-947X(2006)132:10(817) ↗
19. Jimenez-Palacios, J.L. (1998). Understanding and Quantifying Motor Vehicle Emissions with Vehicle Specific Power and TILDAS Remote Sensing. [Ph.D. Thesis, Massachusetts Institute of Technology].
20. Frey, H.C., Unal, A., Chen, J., and Li, S. (2003, January 22–24). Modeling mobile source emissions based upon in-use and second-by-second data: Development of conceptual approaches for EPA’s new moves model. Proceedings of the Annual Meeting of the Air and Waste Management Association, Pittsburgh, PA, USA.
21. On-road vehicle emission inventory and its uncertainty analysis for Shanghai, China10.1016/j.scitotenv.2008.01.038 ↗
22. Lindhjem, C.E., Pollack, A.K., Slott, R.S., and Sawyer, R.F. (2004). Analysis of EPA’s Draft Plan for Emissions Modeling in MOVES and MOVES GHG, Environ International Corporation. Research Report# CRC Project E-68.
23. Introducing specific power to bicycles and motorcycles: Application to electric mobility10.1016/j.trc.2014.11.005 ↗
24. Liang, Y.C., Maimury, Y., Chen, A.H.L., and Juarez, J.R.C. (2020). Machine learning-based prediction of air quality. Appl. Sci., 10.10.3390/app10249151 ↗
25. Predicting real-time within-vehicle air pollution exposure with mass-balance and machine learning approaches using on-road and air quality data10.1016/j.atmosenv.2023.120233 ↗
26. Wai, K.M., and Yu, P.K. (2023). Application of a machine learning method for prediction of urban neighborhood-scale air pollution. Int. J. Environ. Res. Public Health, 20.10.3390/ijerph20032412 ↗
27. Machine learning-based estimation of gaseous and particulate emissions using internally observable vehicle operating parameters10.1016/j.uclim.2023.101734 ↗
28. Azeez, O.S., Pradhan, B., and Shafri, H.Z. (2018). Vehicular CO emission prediction using support vector regression model and GIS. Sustainability, 10.10.3390/su10103434 ↗
29. ANN virtual sensors for emissions prediction and control10.1016/j.apenergy.2011.05.040 ↗
30. Azeez, O.S., Pradhan, B., Shafri, H.Z., Shukla, N., Lee, C.W., and Rizeei, H.M. (2019). Modeling of CO emissions from traffic vehicles using artificial neural networks. Appl. Sci., 9.10.3390/app9020313 ↗
31. Roadside vehicle particulate matter concentration estimation using artificial neural network model in Addis Ababa, Ethiopia10.1016/j.jes.2020.08.018 ↗
32. Prediction of instantaneous real-world emissions from diesel light-duty vehicles based on an integrated artificial neural network and vehicle dynamics model10.1016/j.scitotenv.2021.147359 ↗
33. Air quality prediction-a study using neural network based approach
34. PM10 emission forecasting using artificial neural networks and genetic algorithm input variable optimization10.1016/j.scitotenv.2012.10.110 ↗
35. Towards a comprehensive optimization of engine efficiency and emissions by coupling artificial neural network (ANN) with genetic algorithm (GA)10.1016/j.energy.2021.120331 ↗
36. An LSTM-based aggregated model for air pollution forecasting10.1016/j.apr.2020.05.015 ↗
37. Parallel attention-based LSTM for building a prediction model of vehicle emissions using PEMS and OBD10.1016/j.measurement.2021.110074 ↗
38. Spatiotemporal prediction of air quality based on LSTM neural network10.1016/j.aej.2020.12.009 ↗
39. Optimising air quality prediction in smart cities with hybrid particle swarm optimization-long-short term memory-recurrent neural network model10.1049/smc2.12080 ↗
40. Estimating gaseous pollutants from bus emissions: A hybrid model based on GRU and XGBoost10.1016/j.scitotenv.2021.146870 ↗
41. Modeling PM2. 5 forecast using a self-weighted ensemble GRU network: Method optimization and evaluation10.1016/j.ecolind.2023.111138 ↗
42. Enhancing vehicular emissions monitoring: A GA-GRU-based soft sensors approach for HDDVs10.1016/j.envres.2024.118190 ↗
43. Evaluation of low-cost sensors for weather and carbon dioxide monitoring in internet of things context10.3390/iot1020017 ↗
44. Instantaneous vehicle fuel consumption estimation using smartphones and recurrent neural networks10.1016/j.eswa.2018.12.006 ↗
45. Bengio, Y. (2012). Practical recommendations for gradient-based training of deep architectures. Neural Networks: Tricks of the Trade, Springer. [2nd ed.].10.1007/978-3-642-35289-8_26 ↗
46. Seoh, R. (2020). Qualitative analysis of monte carlo dropout. arXiv.
47. Martínez-Ramón, M., Ajith, M., and Kurup, A.R. (2024). Deep Learning: A Practical Introduction, John Wiley & Sons.10.1002/9781119861898 ↗
48. Gal, Y., and Ghahramani, Z. (2016, January 20–22). Dropout as a bayesian approximation: Representing model uncertainty in deep learning. Proceedings of the International Conference on Machine Learning, New York, NY, USA.
49. Folgoc, L.L., Baltatzis, V., Desai, S., Devaraj, A., Ellis, S., Manzanera, O.E.M., Nair, A., Qiu, H., Schnabel, J., and Glocker, B. (2021). Is MC dropout bayesian?. arXiv.
50. Assessing the uncertainty of deep learning soil spectral models using Monte Carlo dropout10.1016/j.geoderma.2022.116063 ↗
51. A critical review of RNN and LSTM variants in hydrological time series predictions10.1016/j.mex.2024.102946 ↗
52. Rezazadeh, N., de Oliveira, M., Perfetto, D., De Luca, A., and Caputo, F. (2023). Classification of unbalanced and bowed rotors under uncertainty using wavelet time scattering, LSTM, and SVM. Appl. Sci., 13.10.3390/app13126861 ↗
53. LSTM and GRU type recurrent neural networks in model predictive control: A Review10.1016/j.neucom.2025.129712 ↗
54. An ensemble method to forecast 24-h ahead solar irradiance using wavelet decomposition and BiLSTM deep learning network10.1007/s12145-021-00723-1 ↗
55. Sang, S., and Li, L. (2024). A stock prediction method based on heterogeneous bidirectional LSTM. Appl. Sci., 14.10.3390/app14209158 ↗
56. Prediction of wind and PV power by fusing the multi-stage feature extraction and a PSO-BiLSTM model10.1016/j.energy.2024.131345 ↗
57. Short-term solar irradiance forecasting based on a novel Bayesian optimized deep Long Short-Term Memory neural network10.1016/j.apenergy.2022.119727 ↗
58. Cui, P., and Wang, J. (2022). Out-of-distribution (ood) detection based on deep learning: A review. Electronics, 11.10.3390/electronics11213500 ↗
59. Constructing prediction intervals to explore uncertainty based on deep neural networks