IDEAS home Printed from https://ideas.repec.org/a/eee/transe/v205y2026ics1366554525005484.html

Integrating geometric and causation probability approaches into Dynamic Bayesian Networks for real-time collision risk prediction

Author

Listed:
  • Çelik, Cihad
  • Li, Huanhuan
  • Liu, Jiongjiong
  • Bashir, Musa
  • Zou, Lu
  • Yang, Zaili

Abstract

Maritime transportation is vital for international trade, yet collision accidents continue to pose serious risks to navigational safety and global economic stability. This study develops a novel collision risk prediction model based on Dynamic Bayesian Networks (DBN), incorporating both geometric and causation probability approaches to realise real-time ship collision risk prediction and probabilistic risk assessment. Leveraging raw Automatic Identification System (AIS) data, the proposed model dynamically updates the probabilities of influential factors using Markov-chain-based transition analyses, mitigating uncertainties caused by noisy or incomplete data. In contrast to traditional deterministic models, the DBN captures mutual dependencies among dynamic risk factors, including variations in speed ratio, relative bearing, and temporal-spatial parameters such as Distance to Closest Point of Approach (DCPA), Time to Closest Point of Approach (TCPA) and relative distance. The model categorises collision risk into five discrete levels, ranging from very low to very high, providing decision-makers with actionable insights for real-time navigational safety. A key innovation lies in modelling these interdependencies among influential factors, which enables a holistic understanding of collision dynamics. Simulation results demonstrate that the DBN model outperforms traditional Collision Risk Index (CRI) approaches, particularly in accurately predicting complex collision scenarios and reflecting aggressive manoeuvres. This study presents a robust framework for maritime collision risk prediction, offering a foundation for enhancing navigational safety in increasingly congested and mixed-traffic environments involving the coexistence of manned and unmanned vessels.

Suggested Citation

  • Çelik, Cihad & Li, Huanhuan & Liu, Jiongjiong & Bashir, Musa & Zou, Lu & Yang, Zaili, 2026. "Integrating geometric and causation probability approaches into Dynamic Bayesian Networks for real-time collision risk prediction," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 205(C).
  • Handle: RePEc:eee:transe:v:205:y:2026:i:c:s1366554525005484
    DOI: 10.1016/j.tre.2025.104520
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S1366554525005484
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.tre.2025.104520?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to

    for a different version of it.

    References listed on IDEAS

    as
    1. Guo, Wenqiang & Zhang, Xinyu & Ge, Ying-En & Du, Yuquan, 2025. "Deep Q-network and knowledge jointly-driven ship operational efficiency optimization in a seaport," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 197(C).
    2. Xin, Xuri & Liu, Kezhong & Loughney, Sean & Wang, Jin & Li, Huanhuan & Ekere, Nduka & Yang, Zaili, 2023. "Multi-scale collision risk estimation for maritime traffic in complex port waters," Reliability Engineering and System Safety, Elsevier, vol. 240(C).
    3. Xiaoxue Ma & He Lan & Weiliang Qiao & Bing Han & Heilong He, 2024. "On the causation correlation of maritime accidents based on data mining techniques," Journal of Risk and Reliability, , vol. 238(5), pages 905-919, October.
    4. Li, Mengxia & Mou, Junmin & Chen, Pengfei & Rong, Hao & Chen, Linying & van Gelder, P.H.A.J.M., 2022. "Towards real-time ship collision risk analysis: An improved R-TCR model considering target ship motion uncertainty," Reliability Engineering and System Safety, Elsevier, vol. 226(C).
    5. Guo, Yunlong & Jin, Yongxing & Hu, Shenping & Yang, Zaili & Xi, Yongtao & Han, Bing, 2023. "Risk evolution analysis of ship pilotage operation by an integrated model of FRAM and DBN," Reliability Engineering and System Safety, Elsevier, vol. 229(C).
    6. Li, Huanhuan & Ren, Xujie & Yang, Zaili, 2023. "Data-driven Bayesian network for risk analysis of global maritime accidents," Reliability Engineering and System Safety, Elsevier, vol. 230(C).
    7. Antão, P. & Sun, S. & Teixeira, A.P. & Guedes Soares, C., 2023. "Quantitative assessment of ship collision risk influencing factors from worldwide accident and fleet data," Reliability Engineering and System Safety, Elsevier, vol. 234(C).
    8. Rong, H. & Teixeira, A.P. & Guedes Soares, C., 2021. "Spatial correlation analysis of near ship collision hotspots with local maritime traffic characteristics," Reliability Engineering and System Safety, Elsevier, vol. 209(C).
    9. Yu, Qing & Liu, Kezhong & Yang, Zhisen & Wang, Hongbo & Yang, Zaili, 2021. "Geometrical risk evaluation of the collisions between ships and offshore installations using rule-based Bayesian reasoning," Reliability Engineering and System Safety, Elsevier, vol. 210(C).
    10. Zhang, D. & Yan, X.P. & Yang, Z.L. & Wall, A. & Wang, J., 2013. "Incorporation of formal safety assessment and Bayesian network in navigational risk estimation of the Yangtze River," Reliability Engineering and System Safety, Elsevier, vol. 118(C), pages 93-105.
    11. Li, Huanhuan & Jiao, Hang & Yang, Zaili, 2023. "AIS data-driven ship trajectory prediction modelling and analysis based on machine learning and deep learning methods," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 175(C).
    12. Wang, Yuhong & Li, Pengchang & Hong, Cheng & Yang, Zaili, 2025. "Causation analysis of ship collisions using a TM-FRAM model," Reliability Engineering and System Safety, Elsevier, vol. 260(C).
    13. Li, Huanhuan & Xing, Wenbin & Jiao, Hang & Yang, Zaili & Li, Yan, 2024. "Deep bi-directional information-empowered ship trajectory prediction for maritime autonomous surface ships," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 181(C).
    14. Li, Huanhuan & Çelik, Cihad & Bashir, Musa & Zou, Lu & Yang, Zaili, 2024. "Incorporation of a global perspective into data-driven analysis of maritime collision accident risk," Reliability Engineering and System Safety, Elsevier, vol. 249(C).
    15. Zhang, Mingyang & Montewka, Jakub & Manderbacka, Teemu & Kujala, Pentti & Hirdaris, Spyros, 2021. "A Big Data Analytics Method for the Evaluation of Ship - Ship Collision Risk reflecting Hydrometeorological Conditions," Reliability Engineering and System Safety, Elsevier, vol. 213(C).
    16. Fan, Hanwen & Jia, Haiying & He, Xuzhuo & Lyu, Jing, 2024. "Navigating uncertainty: A dynamic Bayesian network-based risk assessment framework for maritime trade routes," Reliability Engineering and System Safety, Elsevier, vol. 250(C).
    17. Liu, Jiongjiong & Zhang, Jinfen & Yang, Zaili & Wan, Chengpeng & Zhang, Mingyang, 2024. "A novel data-driven method of ship collision risk evolution evaluation during real encounter situations," Reliability Engineering and System Safety, Elsevier, vol. 249(C).
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Wang, Yuhong & Li, Pengchang & Hong, Cheng & Yang, Zaili, 2025. "Causation analysis of ship collisions using a TM-FRAM model," Reliability Engineering and System Safety, Elsevier, vol. 260(C).
    2. Sui, Zhongyi & Wang, Shuaian, 2025. "Traffic advisory for ship encounter situation based on linear dynamic system," Reliability Engineering and System Safety, Elsevier, vol. 253(C).
    3. Zhou, Kaiwen & Xing, Wenbin & Wang, Jingbo & Li, Huanhuan & Yang, Zaili, 2024. "A data-driven risk model for maritime casualty analysis: A global perspective," Reliability Engineering and System Safety, Elsevier, vol. 244(C).
    4. Zhang, Liye & Gu, Kewang & Ma, Zhicheng & Wu, Bing & Song, Jie, 2025. "Modelling collision risk between container and fishing ships during cross encounter in a cordon area," Reliability Engineering and System Safety, Elsevier, vol. 264(PB).
    5. Xin, Xuri & Liu, Kezhong & Loughney, Sean & Wang, Jin & Li, Huanhuan & Ekere, Nduka & Yang, Zaili, 2023. "Multi-scale collision risk estimation for maritime traffic in complex port waters," Reliability Engineering and System Safety, Elsevier, vol. 240(C).
    6. Rong, H. & Teixeira, A.P. & Guedes Soares, C., 2022. "Maritime traffic probabilistic prediction based on ship motion pattern extraction," Reliability Engineering and System Safety, Elsevier, vol. 217(C).
    7. Liu, Xintong & Ji, Huiting & Teixeira, Ângelo P. & Rong, Hao & Yu, Qing, 2026. "Enhancing maritime accident causation analysis through a hybrid machine learning approach," Reliability Engineering and System Safety, Elsevier, vol. 267(PB).
    8. Zhang, Mingyang & Zhang, Di & Fu, Shanshan & Kujala, Pentti & Hirdaris, Spyros, 2022. "A predictive analytics method for maritime traffic flow complexity estimation in inland waterways," Reliability Engineering and System Safety, Elsevier, vol. 220(C).
    9. Rong, H. & Teixeira, A.P. & Guedes Soares, C., 2024. "A framework for ship abnormal behaviour detection and classification using AIS data," Reliability Engineering and System Safety, Elsevier, vol. 247(C).
    10. Hörteborn, Axel & Ringsberg, Jonas W. & Lundbäck, Olov & Mao, Wengang, 2025. "Probabilistic analysis of ship-bridge allisions when designing bridges," Reliability Engineering and System Safety, Elsevier, vol. 260(C).
    11. Dugan, Spencer August & Utne, Ingrid Bouwer, 2025. "Improved identification of maritime risk-influencing factors using AIS data in regression analysis," Reliability Engineering and System Safety, Elsevier, vol. 262(C).
    12. Wang, Jiaxin & Fan, Hanwen & Chang, Zheng & Lyu, Jing, 2025. "Unleashing data power: Driving maritime risk analysis with Bayesian networks," Reliability Engineering and System Safety, Elsevier, vol. 264(PA).
    13. Li, Huanhuan & Çelik, Cihad & Bashir, Musa & Zou, Lu & Yang, Zaili, 2024. "Incorporation of a global perspective into data-driven analysis of maritime collision accident risk," Reliability Engineering and System Safety, Elsevier, vol. 249(C).
    14. Zhang, Fan & Sui, Zhongyi & Liu, Yihao & Chen, Hualong & Wang, Shuaian, 2026. "Ship importance evaluation based on multi-attribute ranking method for maritime safety management," Reliability Engineering and System Safety, Elsevier, vol. 265(PB).
    15. Yang, Lichao & Liu, Jingxian & Zhou, Qin & Liu, Zhao & Chen, Yang & Wang, Yukuan & Liu, Yang, 2025. "Enabling autonomous navigation: adaptive multi-source risk quantification in maritime transportation," Reliability Engineering and System Safety, Elsevier, vol. 261(C).
    16. Li, Huanhuan & Jiao, Hang & Chen, Zhong Shuo & Lam, Jasmine Siu Lee & Yang, Zaili, 2026. "COVID crisis-aware maritime risk assessment: A Bayesian network analysis," Reliability Engineering and System Safety, Elsevier, vol. 266(PB).
    17. Xin, Xuri & Liu, Kezhong & Loughney, Sean & Wang, Jin & Yang, Zaili, 2023. "Maritime traffic clustering to capture high-risk multi-ship encounters in complex waters," Reliability Engineering and System Safety, Elsevier, vol. 230(C).
    18. Ma, Quandang & Lian, Zhouyu & Du, Xu & Jiang, Yuting & BahooToroody, Ahmad & Zhang, Mingyang, 2026. "A deep learning method to predict ship short-term trajectory for proactive maritime traffic management," Reliability Engineering and System Safety, Elsevier, vol. 265(PB).
    19. Du, Jiaxin & Weng, Jinxian & Xi, Yongtao & Zhu, Qinghua & Ding, Haifeng & Shi, Kun, 2026. "Multi-scale collision risk assessment in restricted waters considering ship trajectory uncertainty," Reliability Engineering and System Safety, Elsevier, vol. 265(PA).
    20. Zhang, Mingyang & Taimuri, Ghalib & Zhang, Jinfen & Zhang, Di & Yan, Xinping & Kujala, Pentti & Hirdaris, Spyros, 2025. "Systems driven intelligent decision support methods for ship collision and grounding prevention: Present status, possible solutions, and challenges," Reliability Engineering and System Safety, Elsevier, vol. 253(C).

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:transe:v:205:y:2026:i:c:s1366554525005484. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/wps/find/journaldescription.cws_home/600244/description#description .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.