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Probabilistic deep learning framework for dynamic carbon emission accounting of electric buses under grid uncertainty – Scientific Reports

  • Article
  • Open access
  • Published:
  • Shaoxuan Zhu1 na1,
  • Guolin Lü2 na1,
  • Chenhao Zhi1,
  • Shuhong Liu1,
  • Chenhao Li1 &
  • Kai Zhang1 

Scientific Reports (2026) Cite this article

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Abstract

The electrification of public transit has emerged as a pivotal pathway for deep urban decarbonization. However, existing carbon accounting methods predominantly rely on static grid emission factors and deterministic energy models, often overlooking spatiotemporal variability and uncertainty propagation. To address this limitation, this study establishes a dynamic, uncertainty-aware framework for the carbon accounting of electric bus systems. A hybrid deep learning architecture integrating Temporal Convolutional Networks (TCN), Bidirectional Long Short-Term Memory (BiLSTM) networks, and an Attention mechanism is developed to capture multi-scale temporal dependencies in energy consumption. In parallel, a time-varying probabilistic grid emission model is formulated using period-specific distributions across diurnal intervals, and Monte Carlo simulation is employed to propagate uncertainty throughout the accounting chain. Using high-frequency operational telemetry from ten electric buses in Shenzhen, the proposed model achieved an (R^2) of 0.9610 and an RMSE of 0.0523, outperforming ensemble learning methods, conventional deep learning baselines, and ablation variants. Leave-one-bus-out cross-validation further confirmed robust cross-vehicle generalizability, with a mean (R^2) of (0.9618 pm 0.0146). The results reveal pronounced heteroscedasticity in carbon emission profiles, with uncertainty expanding substantially during high-power transient events, while the time-varying emission factor model yields wider confidence intervals than static approaches. These findings demonstrate the importance of uncertainty-aware dynamic accounting and provide a robust data-driven basis for probabilistic carbon footprint estimation in urban public transport.

Acknowledgements

The authors would like to thank the Shenzhen Bus Group for providing the real-world operational data of electric buses, which was essential for the validation of the proposed framework. The authors also extend their gratitude to the anonymous reviewers and the editor for their insightful comments and suggestions that significantly improved the quality of this manuscript.

Funding

This work was supported by the Project from Science and Technology Innovation Committee of Shenzhen under Grant KCXST20221021111201002.

Author information

Author notes

  1. Shaoxuan Zhu and Guolin Lü have contributed equally to this work.

Authors and Affiliations

  1. Tsinghua Shenzhen International Graduate School, Tsinghua University, Shenzhen, China

    Shaoxuan Zhu, Chenhao Zhi, Shuhong Liu, Chenhao Li & Kai Zhang

  2. Shenzhen Urban Transport Planning Center Co., Ltd., Shenzhen, China

    Guolin Lü

Authors

  1. Shaoxuan Zhu
  2. Guolin Lü
  3. Chenhao Zhi
  4. Shuhong Liu
  5. Chenhao Li
  6. Kai Zhang

Corresponding author

Correspondence to Kai Zhang.

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Competing interests

The authors declare no competing interests.

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Cite this article

Zhu, S., Lü, G., Zhi, C. et al. Probabilistic deep learning framework for dynamic carbon emission accounting of electric buses under grid uncertainty. Sci Rep (2026). https://doi.org/10.1038/s41598-026-49360-y

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  • DOI: https://doi.org/10.1038/s41598-026-49360-y

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