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Spatial fluctuations of pedestrian velocities in bidirectional streams: Exploring the effects of self-organization

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  • Saberi, Meead
  • Aghabayk, Kayvan
  • Sobhani, Amir

Abstract

Individual pedestrian velocities vary over time and space depending on the crowd size, location of individuals’ within the crowd, and formation of self-organized lanes. We use empirical data to explore the spatial fluctuations of pedestrian velocities in bidirectional streams. We find that, unlike ordinary fluids, the velocity profile in bidirectional pedestrian streams does not necessarily follow a hyperbolic form. Rather, the shape of the velocity profile is highly dependent on the formation of self-organized lanes. We also show that the spatial fluctuations of pedestrian velocities along and transverse to the flow direction are widely distributed and can be modeled by a sum of Gaussian distributions. Results suggest that the effect of self-organization phenomenon is strong enough that for the same crowd size, the velocity distribution does not significantly change when pedestrians are highly mixed compared to when separate lanes are formed.

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  • Saberi, Meead & Aghabayk, Kayvan & Sobhani, Amir, 2015. "Spatial fluctuations of pedestrian velocities in bidirectional streams: Exploring the effects of self-organization," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 434(C), pages 120-128.
    • Handle: RePEc:eee:phsmap:v:434:y:2015:i:c:p:120-128
    DOI: 10.1016/j.physa.2015.04.008
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    Cited by:

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    2. Shi, Yihan & Xu, Jie & Zhang, Hui & Jia, Limin & Qin, Yong, 2022. "Empirical investigation on turning behavior of passengers in subway station," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 606(C).
    3. Li, Yongxing & Yang, Xiaoxia & Wang, Zijia & Chen, Liang & Chen, Yanyan, 2022. "Lane-design for mixed pedestrian flow in T-shaped passage," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 589(C).
    4. Jiang, Yan-Qun & Hu, Ying-Gang & Huang, Xiaoqian, 2022. "Modeling pedestrian flow through a bottleneck based on a second-order continuum model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 608(P1).
    5. Hu, Yanghui & Zhang, Jun & Song, Weiguo, 2019. "Experimental study on the movement strategies of individuals in multidirectional flows," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 534(C).
    6. Shi, Yihan & Xu, Jie & Zhang, Hui & Jia, Limin & Qin, Yong, 2022. "Walking model on passenger in merging passage of subway station considering overtaking behavior," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 585(C).
    7. Zhang, Dawei & Zhu, Haitao & Hostikka, Simo & Qiu, Shi, 2019. "Pedestrian dynamics in a heterogeneous bidirectional flow: Overtaking behaviour and lane formation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 72-84.

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