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Spatiotemporal analysis of traffic oscillation propagation at consecutive merging bottlenecks using trajectory data

Author

Listed:
  • Chen, Qiucheng
  • Xiao, Wenbin
  • Zhu, Shunying
  • Wu, Jingan
  • Zhao, Xiaoyue

Abstract

Spatiotemporal traffic oscillations at consecutive merging bottlenecks play a critical role in the formation and amplification of congestion. A better understanding of their propagation is essential for developing effective traffic control strategies. While previous studies have primarily examined oscillations from macroscopic perspectives or in isolated bottleneck settings, the interactions between oscillations across closely spaced merging bottlenecks remain underexplored. This study addresses this gap by analyzing empirical trajectory data to investigate oscillation dynamics at a mesoscopic, lane-specific level. To accurately identify oscillation patterns, a wavelet transform method was applied to the trajectory data. The data were then aggregated using a spatiotemporal window structure. The Spatial autoregressive with autoregressive disturbances (SARAR) model, incorporating a Gaussian kernel-based spatiotemporal weights matrix, was employed to quantify the influence of both endogenous and exogenous factors. Results found that traffic oscillations exhibit a significant spatial spillover effect, whereby an existing oscillation can trigger a new oscillation in adjacent regions. However, this spatial effect is not deterministic; theoretical lag distance analysis shows that local disruptions can be absorbed if vehicles maintain stable operation for a sufficient duration (approximately 100 s in our data). Furthermore, the upstream bottleneck acts as a powerful amplifier, inducing a unique oscillation pattern. Merging events within these oscillations exhibit a distinct characteristic: both pre- and post-merge time headways remain consistently low (around 3 s). This persistent low-headway merging serves as a mechanism for cumulative disruption in acceleration and speed. This study provides a framework to characterize spatiotemporal propagation of oscillations and highlights the importance of local interactions in congested traffic flow.

Suggested Citation

  • Chen, Qiucheng & Xiao, Wenbin & Zhu, Shunying & Wu, Jingan & Zhao, Xiaoyue, 2025. "Spatiotemporal analysis of traffic oscillation propagation at consecutive merging bottlenecks using trajectory data," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 678(C).
    • Handle: RePEc:eee:phsmap:v:678:y:2025:i:c:s0378437125006132
    DOI: 10.1016/j.physa.2025.130961
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    1. Jean Dubé & Diègo Legros, 2013. "Dealing with spatial data pooled over time in statistical models," Letters in Spatial and Resource Sciences, Springer, vol. 6(1), pages 1-18, March.
    2. Chen, Danjue & Laval, Jorge & Zheng, Zuduo & Ahn, Soyoung, 2012. "A behavioral car-following model that captures traffic oscillations," Transportation Research Part B: Methodological, Elsevier, vol. 46(6), pages 744-761.
    3. Leslie C. Edie, 1961. "Car-Following and Steady-State Theory for Noncongested Traffic," Operations Research, INFORMS, vol. 9(1), pages 66-76, February.
    4. Hu, Xiaojian & Qiao, Longqi & Hao, Xiatong & Lin, Chenxi & Liu, Tenghui, 2022. "Research on the impact of entry points on urban arterial roads in the framework of Kerner’s three-phase traffic theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 605(C).
    5. Castillo, Jose M. del, 2001. "Propagation of perturbations in dense traffic flow: a model and its implications," Transportation Research Part B: Methodological, Elsevier, vol. 35(4), pages 367-389, May.
    6. Luc Anselin & Raymond J. G. M. Florax, 1995. "Small Sample Properties of Tests for Spatial Dependence in Regression Models: Some Further Results," Advances in Spatial Science, in: Luc Anselin & Raymond J. G. M. Florax (ed.), New Directions in Spatial Econometrics, chapter 2, pages 21-74, Springer.
    7. 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).
    8. Chen, Qiucheng & Zhu, Shunying & Wu, Jingan & Chen, Guojun & Wang, Hong, 2024. "Empirical dynamics of traffic moving jams: Insights from Kerner’s three-phase traffic theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 648(C).
    9. Yanhong Wang & Rui Jiang & Yu (Marco) Nie & Ziyou Gao, 2021. "Impact of Information on Topology-Induced Traffic Oscillations," Transportation Science, INFORMS, vol. 55(2), pages 475-490, March.
    10. Zhao, Jiandong & Shen, Jin & Yu, Zhixin & Gao, Yuhang & Jiang, Rui, 2024. "Exploration on relation between vehicle oscillation type and platoon oscillation evolution based on multi-scenario field experiment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 640(C).
    11. Lee, Ha Youn & Lee, Hyun-Woo & Kim, Doochul, 2000. "Traffic states of a model highway with on-ramp," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 281(1), pages 78-86.
    12. Tian, Junfang & Li, Guangyu & Treiber, Martin & Jiang, Rui & Jia, Ning & Ma, Shoufeng, 2016. "Cellular automaton model simulating spatiotemporal patterns, phase transitions and concave growth pattern of oscillations in traffic flow," Transportation Research Part B: Methodological, Elsevier, vol. 93(PA), pages 560-575.
    13. Zheng, Zuduo & Ahn, Soyoung & Chen, Danjue & Laval, Jorge, 2011. "Freeway traffic oscillations: Microscopic analysis of formations and propagations using Wavelet Transform," Transportation Research Part B: Methodological, Elsevier, vol. 45(9), pages 1378-1388.
    14. Li, Zhen-Hua & Zheng, Shi-Teng & Jiang, Rui & Tian, Jun-Fang & Zhu, Kai-Xuan & Di Pace, Roberta, 2022. "Empirical and simulation study on traffic oscillation characteristic using floating car data," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 605(C).
    15. Mattas, K. & Albano, G. & Donà, R. & He, Y. & Ciuffo, B., 2023. "On the Relationship between Traffic Hysteresis and String Stability of Vehicle Platoons," Transportation Research Part B: Methodological, Elsevier, vol. 174(C).
    16. Li, Xiaopeng & Peng, Fan & Ouyang, Yanfeng, 2010. "Measurement and estimation of traffic oscillation properties," Transportation Research Part B: Methodological, Elsevier, vol. 44(1), pages 1-14, January.
    17. Pan, Wei & Xue, Yu & He, Hong-Di & Lu, Wei-Zhen, 2018. "Impacts of traffic congestion on fuel rate, dissipation and particle emission in a single lane based on Nasch Model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 503(C), pages 154-162.
    18. Tian, Junfang & Jiang, Rui & Jia, Bin & Gao, Ziyou & Ma, Shoufeng, 2016. "Empirical analysis and simulation of the concave growth pattern of traffic oscillations," Transportation Research Part B: Methodological, Elsevier, vol. 93(PA), pages 338-354.
    19. Zheng, Zuduo & Ahn, Soyoung & Chen, Danjue & Laval, Jorge, 2011. "Applications of wavelet transform for analysis of freeway traffic: Bottlenecks, transient traffic, and traffic oscillations," Transportation Research Part B: Methodological, Elsevier, vol. 45(2), pages 372-384, February.
    20. Hwasoo Yeo & Alexander Skabardonis, 2009. "Understanding Stop-and-go Traffic in View of Asymmetric Traffic Theory," Springer Books, in: William H. K. Lam & S. C. Wong & Hong K. Lo (ed.), Transportation and Traffic Theory 2009: Golden Jubilee, chapter 0, pages 99-115, Springer.
    21. Jiang, Yangsheng & Cong, Hongwei & Wang, Yi & Wu, Yunxia & Li, Hongwu & Yao, Zhihong, 2023. "A new control strategy of CAVs platoon for mitigating traffic oscillation in a two-lane highway," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 630(C).
    22. Gupta, A.K. & Katiyar, V.K., 2006. "Phase transition of traffic states with on-ramp," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 371(2), pages 674-682.
    23. Sun, Jie & Li, Zhipeng & Sun, Jian, 2015. "Study on traffic characteristics for a typical expressway on-ramp bottleneck considering various merging behaviors," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 440(C), pages 57-67.
    24. Zhao, Tingting & Nie, Yu (Marco) & Zhang, Yi, 2014. "Extended spectral envelope method for detecting and analyzing traffic oscillations," Transportation Research Part B: Methodological, Elsevier, vol. 61(C), pages 1-16.
    25. David M. Drukker & Ingmar Prucha & Rafal Raciborski, 2013. "Maximum likelihood and generalized spatial two-stage least-squares estimators for a spatial-autoregressive model with spatial-autoregressive disturbances," Stata Journal, StataCorp LLC, vol. 13(2), pages 221-241, June.
    26. Yao, Handong & Li, Qianwen & Li, Xiaopeng, 2020. "A study of relationships in traffic oscillation features based on field experiments," Transportation Research Part A: Policy and Practice, Elsevier, vol. 141(C), pages 339-355.
    27. Tian, Junfang & Treiber, Martin & Ma, Shoufeng & Jia, Bin & Zhang, Wenyi, 2015. "Microscopic driving theory with oscillatory congested states: Model and empirical verification," Transportation Research Part B: Methodological, Elsevier, vol. 71(C), pages 138-157.
    28. Laval, Jorge A., 2011. "Hysteresis in traffic flow revisited: An improved measurement method," Transportation Research Part B: Methodological, Elsevier, vol. 45(2), pages 385-391, February.
    29. Jiang, Rui & Hu, Mao-Bin & Zhang, H.M. & Gao, Zi-You & Jia, Bin & Wu, Qing-Song, 2015. "On some experimental features of car-following behavior and how to model them," Transportation Research Part B: Methodological, Elsevier, vol. 80(C), pages 338-354.
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