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The effect of stepping on pedestrian trajectories

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  • Seitz, Michael J.
  • Dietrich, Felix
  • Köster, Gerta

Abstract

The natural biomechanical motion process of many animals is stepwise. This feature of human movement and other bipeds is largely ignored in simulation models of pedestrians and crowds. We present a concise movement model for pedestrians based on stepwise movement. A series of controlled experiments was conducted to calibrate the model based on individual behaviour of pedestrians. We find that a change of direction is constrained by the current walking speed: the higher the speed the smaller the possible change of direction. Additionally, we present the trajectories and distances subjects held to a wall when walking around a corner. We use this result as a parameter for the simulation model. Finally, we validate the model’s behaviour with an egress scenario with a corridor as bottleneck. The resulting trajectories show behaviour that has been found in controlled experiments with similar set-ups: if there is enough space, individuals try to walk in the middle of the corridor, but when a congestion is present multiple lanes form allowing for higher pedestrian flow. The model separates the behavioural aspects from biomechanical movement thus facilitating expandability and allowing experts to focus on their respective fields of expertise.

Suggested Citation

  • Seitz, Michael J. & Dietrich, Felix & Köster, Gerta, 2015. "The effect of stepping on pedestrian trajectories," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 421(C), pages 594-604.
  • Handle: RePEc:eee:phsmap:v:421:y:2015:i:c:p:594-604
    DOI: 10.1016/j.physa.2014.11.064
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    Cited by:

    1. Wang, Jiayue & Boltes, Maik & Seyfried, Armin & Zhang, Jun & Ziemer, Verena & Weng, Wenguo, 2018. "Linking pedestrian flow characteristics with stepping locomotion," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 500(C), pages 106-120.
    2. Jonathan B Dingwell & Joseph P Cusumano, 2019. "Humans use multi-objective control to regulate lateral foot placement when walking," PLOS Computational Biology, Public Library of Science, vol. 15(3), pages 1-28, March.
    3. von Sivers, Isabella & Köster, Gerta, 2015. "Dynamic stride length adaptation according to utility and personal space," Transportation Research Part B: Methodological, Elsevier, vol. 74(C), pages 104-117.
    4. Sobhana, Karthika P. & Choubey, Nipun & Verma, Ashish, 2023. "Modelling and simulating the leader–follower behaviour of pedestrians in unidirectional flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 623(C).
    5. Cristiani, E. & Menci, M. & Malagnino, A. & Amaro, G.G., 2023. "An all-densities pedestrian simulator based on a dynamic evaluation of the interpersonal distances," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 616(C).

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