IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v683y2026ics037843712500891x.html

Emergent traffic flow patterns from different intelligent levels of autonomous vehicles in fog

Author

Listed:
  • Qian, Yongsheng
  • Zhang, Qingru
  • Zeng, Junwei
  • Wei, Xu

Abstract

Before the widespread adoption of L4 and L5 autonomous vehicles, the road system will remain in a phase where L2 and L3 autonomous vehicles mix with human-driven vehicles for a long time. Low visibility in foggy conditions further affects both the traffic efficiency and safety of the mixed traffic flow. This paper considers the differences in driving characteristics of L0, L2, L3, and L4 autonomous vehicles under foggy conditions, constructs a two-lane cellular automata model for foggy highways, and calibrates the parameters of the Gipps model using actual car-following data. Through simulations under varying visibility conditions, we analyze the impact of autonomous vehicles at different levels on overall traffic flow. The results show that the autonomous vehicles can significantly enhance the capacity and average speed of the mixed traffic flows while reducing the congestion rate, and these benefits become more pronounced as the level of automation increases. Moreover, due to varying visibility, road density and penetration rates in different foggy scenarios, there are notable differences in how vehicles of different automation levels affect traffic safety (TET、TERCRI) and stability (SD). Within specific density ranges, the presence of autonomous vehicles improves the safety and stability of mixed traffic flow.

Suggested Citation

  • Qian, Yongsheng & Zhang, Qingru & Zeng, Junwei & Wei, Xu, 2026. "Emergent traffic flow patterns from different intelligent levels of autonomous vehicles in fog," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 683(C).
  • Handle: RePEc:eee:phsmap:v:683:y:2026:i:c:s037843712500891x
    DOI: 10.1016/j.physa.2025.131239
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S037843712500891X
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

    File URL: https://libkey.io/10.1016/j.physa.2025.131239?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. Yao, Zhihong & Deng, Haowei & Chen, Zikang & He, Xiang & Ai, Yi & Wu, Yunxia, 2024. "Linear internal stability for mixed traffic flow of CAVs with different automation levels," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 642(C).
    2. Jiao Yao & Jiaping He & Yujie Bao & Jiayang Li & Yin Han, 2022. "Study on Freeway Congestion Propagation in Foggy Environment Based on CA-SIR Model," Sustainability, MDPI, vol. 14(23), pages 1-18, December.
    3. Ma, Ke & Shi, Haotian & Ma, Chenyuan & Huang, Zhitong & Wang, Qingzheng & Li, Xiaopeng, 2025. "Development, Calibration, and validation of a Novel nonlinear Car-Following Model: Multivariate piecewise linear approach for adaptive cruise control vehicles," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 199(C).
    4. Zeng, Junwei & Qian, Yongsheng & Mi, Pengfei & Zhang, Chaoyang & Yin, Fan & Zhu, Leipeng & Xu, Dejie, 2021. "Freeway traffic flow cellular automata model based on mean velocity feedback," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 562(C).
    5. Jiang, Yangsheng & Wang, Sichen & Yao, Zhihong & Zhao, Bin & Wang, Yi, 2021. "A cellular automata model for mixed traffic flow considering the driving behavior of connected automated vehicle platoons," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 582(C).
    6. Wang, Xuan & Zeng, Junwei & Qian, Yongsheng & Wei, Xuting & Zhang, Futao, 2024. "Heterogeneous traffic flow of expressway with Level 2 autonomous vehicles considering moving bottlenecks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 650(C).
    7. Ma, Ke & Wang, Hao & Ruan, Tiancheng, 2021. "Analysis of road capacity and pollutant emissions: Impacts of Connected and automated vehicle platoons on traffic flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 583(C).
    8. Chen, Danjue & Ahn, Soyoung & Chitturi, Madhav & Noyce, David A., 2017. "Towards vehicle automation: Roadway capacity formulation for traffic mixed with regular and automated vehicles," Transportation Research Part B: Methodological, Elsevier, vol. 100(C), pages 196-221.
    9. Jiang, Yangsheng & Chen, Hongyu & Cong, Hongwei & Wu, Yunxia & Yao, Zhihong, 2024. "Fundamental diagram of mixed traffic flow of CAVs with different connectivity and automation levels," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 646(C).
    10. Pan, Yuchen & Wu, Yu & Xu, Lu & Xia, Chengyi & Olson, David L., 2024. "The impacts of connected autonomous vehicles on mixed traffic flow: A comprehensive review," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 635(C).
    11. Kerner, Boris S., 2013. "Criticism of generally accepted fundamentals and methodologies of traffic and transportation theory: A brief review," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(21), pages 5261-5282.
    12. Ye, Lanhang & Yamamoto, Toshiyuki, 2019. "Evaluating the impact of connected and autonomous vehicles on traffic safety," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 526(C).
    13. Ma, Ke & Zhou, Hang & Liang, Zhaohui & Li, Xiaopeng, 2025. "Automated vehicle microscopic energy consumption study (AV-Micro): Data collection and model development," Energy, Elsevier, vol. 320(C).
    14. Ye, Lanhang & Yamamoto, Toshiyuki, 2018. "Modeling connected and autonomous vehicles in heterogeneous traffic flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 490(C), pages 269-277.
    15. Jing Shi & Jinhua Tan, 2013. "Effect Analysis of Intermittent Release Measures in Heavy Fog Weather with an Improved CA Model," Discrete Dynamics in Nature and Society, Hindawi, vol. 2013, pages 1-7, November.
    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. Wu, Yunxia & Li, Le & Jiang, Chenming & Jiang, Yangsheng & Yao, Zhihong, 2025. "The impact of selfish driving behavior of autonomous vehicles on mixed traffic flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 672(C).
    2. Wu, Yuanyuan & Wang, David Z.W. & Zhu, Feng, 2022. "Influence of CAVs platooning on intersection capacity under mixed traffic," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 593(C).
    3. Yao, Zhihong & Gu, Qiufan & Jiang, Yangsheng & Ran, Bin, 2022. "Fundamental diagram and stability of mixed traffic flow considering platoon size and intensity of connected automated vehicles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 604(C).
    4. Xu, Linghui & Lu, Jia & Zheng, Yuan & He, Kangkang & Zhang, Shuichao, 2024. "Study on mixed traffic characteristics around highway on-ramp bottleneck using a microscopic simulation model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 654(C).
    5. Li, Xia & Xiao, Yuewen & Zhao, Xiaodong & Ma, Xinwei & Wang, Xintong, 2023. "Modeling mixed traffic flows of human-driving vehicles and connected and autonomous vehicles considering human drivers’ cognitive characteristics and driving behavior interaction," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 609(C).
    6. Yao, Zhihong & Ma, Zhiyu & Wang, Jinrun & Wu, Yunxia & Jiang, Chenming, 2026. "Connected vehicle-based simulation of variable speed limit effects on highway mixed traffic flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 685(C).
    7. Guangyang Hou, 2023. "Evaluating Efficiency and Safety of Mixed Traffic with Connected and Autonomous Vehicles in Adverse Weather," Sustainability, MDPI, vol. 15(4), pages 1-19, February.
    8. Wang, Zhengwu & Chen, Tao & Wang, Yi & Li, Hao, 2024. "A cellular automaton model for mixed traffic flow considering the size of CAV platoon," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 643(C).
    9. Guo, Mengting & Bai, Yang & Li, Xia & Zhou, Wei & Wang, Chunyang & Ma, Xinwei & Gao, Huixin & Xiao, Yuewen, 2023. "Freeway capacity modeling and analysis for traffic mixed with human-driven and connected automated vehicles considering driver behavior characteristics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 623(C).
    10. Bafandkar, Shayan & Talebpour, Alireza, 2026. "Charging while driving lanes: A boon to electric vehicle owners or a disruption to traffic flow," Transportation Research Part A: Policy and Practice, Elsevier, vol. 204(C).
    11. Li, Haijian & Zhang, Junjie & Sun, Xiaoliang & Niu, Jun & Zhao, Xiaohua, 2022. "A survey of vehicle group behaviors simulation under a connected vehicle environment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 603(C).
    12. Du, Wenju & Huang, Zhekai & Li, Shukai & Zhang, Jiangang, 2025. "Fundamental diagram and stability analysis of mixed traffic flow considering platoon intensity and multiclass time delay," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 675(C).
    13. Wang, Xuan & Zeng, Junwei & Qian, Yongsheng & Wei, Xuting & Zhang, Futao, 2024. "Heterogeneous traffic flow of expressway with Level 2 autonomous vehicles considering moving bottlenecks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 650(C).
    14. Manivasakan, Hesavar & Kalra, Riddhi & O'Hern, Steve & Fang, Yihai & Xi, Yinfei & Zheng, Nan, 2021. "Infrastructure requirement for autonomous vehicle integration for future urban and suburban roads – Current practice and a case study of Melbourne, Australia," Transportation Research Part A: Policy and Practice, Elsevier, vol. 152(C), pages 36-53.
    15. Hu, Xiaojian & Hao, Xiatong & Wang, Han & Su, Ziyi & Zhang, Fang, 2020. "Research on on-street temporary parking effects based on cellular automaton model under the framework of Kerner’s three-phase traffic theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 545(C).
    16. Zhou, Yongjie & Liang, Jun, 2025. "Platoon agglomeration strategy and analysis in CAV dedicated lanes under low CAV penetration," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 664(C).
    17. Li, Jia & Li, Bin & Liu, Zhitao & Su, Hongye, 2025. "Co-optimized operation of electrified transportation systems considering mixed human and automated traffic flows," Energy, Elsevier, vol. 324(C).
    18. Yao, Zhihong & Li, Le & Liao, Wenbin & Wang, Yi & Wu, Yunxia, 2024. "Optimal lane management policy for connected automated vehicles in mixed traffic flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 637(C).
    19. Li, Ruijie & Sun, Siyuan & Wu, Yunxia & Hao, Huijun & Wen, Xuguang & Yao, Zhihong, 2023. "Fundamental diagram of mixed traffic flow considering time lags, platooning intensity, and the degradation of connected automated vehicles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 627(C).
    20. Xin Chang & Xingjian Zhang & Haichao Li & Chang Wang & Zhe Liu, 2022. "A Survey on Mixed Traffic Flow Characteristics in Connected Vehicle Environments," Sustainability, MDPI, vol. 14(13), pages 1-22, June.

    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:phsmap:v:683:y:2026:i:c:s037843712500891x. 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.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    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.