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A decay model for the fundamental diagram of pedestrian movement

Author

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  • Wang, Litao
  • Shen, Shifei

Abstract

Pedestrian dynamics has many significant applications, such as the evacuation and the design and optimization of pedestrian facilities. The most important characteristic of pedestrian dynamics is the fundamental diagram, which indicates the relationship between density, velocity and flow of pedestrians. The fundamental diagram varies for different facilities like corridors, stairs or ramps, and it also depends on whether the pedestrian flow is unidirectional or bidirectional. However, the general model for the fundamental diagram is unknown. Here we use a decay model to quantify the relationship between the walking speed and density. The concept ‘maximum density’, which was thought previously as the density where pedestrians hardly move, is corrected to the density where the ‘turbulent’ crowd conditions arise. The decay characteristic of pedestrian movement is found, which is seldom studied before. The decay model agrees well with empirical results, and it can interpret the disagreement of different fundamental diagrams quantitatively.

Suggested Citation

  • Wang, Litao & Shen, Shifei, 2019. "A decay model for the fundamental diagram of pedestrian movement," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 531(C).
    • Handle: RePEc:eee:phsmap:v:531:y:2019:i:c:s0378437119309999
    DOI: 10.1016/j.physa.2019.121739
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    Citations

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    Cited by:

    1. Gao Pan & Mingxi Peng & Tiejun Zhou & Zhanzhi Wan & Zheng Liang, 2023. "Research on Safety Design Strategy of Evacuation Stairs in Deep Underground Station Based on Human Heart Rate and Ascending Evacuation Speed," Sustainability, MDPI, vol. 15(13), pages 1-15, July.
    2. Zhang, Hui & Xu, Jie & Jia, Limin & Shi, Yihan, 2021. "Research on walking efficiency of passengers around corner of subway station," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 573(C).
    3. Jiang, Yan-Qun & Zhou, Shu-Guang & Duan, Ya-Li & Huang, Xiao-Qian, 2023. "A viscous continuum model with smoke effect for pedestrian evacuation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 621(C).

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