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Crowd macro state detection using entropy model

Author

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  • Zhao, Ying
  • Yuan, Mengqi
  • Su, Guofeng
  • Chen, Tao

Abstract

In the crowd security research area a primary concern is to identify the macro state of crowd behaviors to prevent disasters and to supervise the crowd behaviors. The entropy is used to describe the macro state of a self-organization system in physics. The entropy change indicates the system macro state change. This paper provides a method to construct crowd behavior microstates and the corresponded probability distribution using the individuals’ velocity information (magnitude and direction). Then an entropy model was built up to describe the crowd behavior macro state. Simulation experiments and video detection experiments were conducted. It was verified that in the disordered state, the crowd behavior entropy is close to the theoretical maximum entropy; while in ordered state, the entropy is much lower than half of the theoretical maximum entropy. The crowd behavior macro state sudden change leads to the entropy change. The proposed entropy model is more applicable than the order parameter model in crowd behavior detection. By recognizing the entropy mutation, it is possible to detect the crowd behavior macro state automatically by utilizing cameras. Results will provide data support on crowd emergency prevention and on emergency manual intervention.

Suggested Citation

  • Zhao, Ying & Yuan, Mengqi & Su, Guofeng & Chen, Tao, 2015. "Crowd macro state detection using entropy model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 431(C), pages 84-93.
    • Handle: RePEc:eee:phsmap:v:431:y:2015:i:c:p:84-93
    DOI: 10.1016/j.physa.2015.02.068
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    References listed on IDEAS

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    1. Dirk Helbing & Illés Farkas & Tamás Vicsek, 2000. "Simulating dynamical features of escape panic," Nature, Nature, vol. 407(6803), pages 487-490, September.
    2. Zhang, X.L. & Weng, W.G. & Yuan, H.Y. & Chen, J.G., 2013. "Empirical study of a unidirectional dense crowd during a real mass event," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(12), pages 2781-2791.
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    1. Rangel-Huerta, A. & Ballinas-Hernández, A.L. & Muñoz-Meléndez, A., 2017. "An entropy model to measure heterogeneity of pedestrian crowds using self-propelled agents," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 473(C), pages 213-224.
    2. Zhang, Xuguang & Shu, Xiaohu & He, Zhen, 2019. "Crowd panic state detection using entropy of the distribution of enthalpy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 935-945.

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