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Incorporating topography in a cellular automata model to simulate residents evacuation in a mountain area in China

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  • Wang, Li
  • Liu, Mao
  • Meng, Bo
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    Abstract

    In China, both the mountainous areas and the number of people who live in mountain areas occupy a significant proportion. When production accidents or natural disasters happen, the residents in mountain areas should be evacuated and the evacuation is of obvious importance to public safety. But it is a pity that there are few studies on safety evacuation in rough terrain. The particularity of the complex terrain in mountain areas, however, makes it difficult to study pedestrian evacuation. In this paper, a three-dimensional surface cellular automata model is proposed to numerically simulate the real time dynamic evacuation of residents. The model takes into account topographic characteristics (the slope gradient) of the environment and the biomechanics characteristics (weight and leg extensor power) of the residents to calculate the walking speed. This paper only focuses on the influence of topography and the physiological parameters are defined as constants according to a statistical report. Velocity varies with the topography. In order to simulate the behavior of a crowd with varying movement velocities, and a numerical algorithm is used to determine the time step of iteration. By doing so, a numerical simulation can be conducted in a 3D surface CA model. Moreover, considering residents evacuation around a gas well in a mountain area as a case, a visualization system for a three-dimensional simulation of pedestrian evacuation is developed. In the simulation process, population behaviors of congestion, queuing and collision avoidance can be observed. The simulation results are explained reasonably. Therefore, the model presented in this paper can realize a 3D dynamic simulation of pedestrian evacuation vividly in complex terrain and predict the evacuation procedure and evacuation time required, which can supply some valuable information for emergency management.

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    File URL: http://www.sciencedirect.com/science/article/pii/S0378437112008746
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    Bibliographic Info

    Article provided by Elsevier in its journal Physica A: Statistical Mechanics and its Applications.

    Volume (Year): 392 (2013)
    Issue (Month): 3 ()
    Pages: 520-528

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    Handle: RePEc:eee:phsmap:v:392:y:2013:i:3:p:520-528

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    Web page: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/

    Related research

    Keywords: Three-dimensional surface cellular automata model; Complex terrain in mountain area; Pedestrian evacuation; Visualized simulation;

    References

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    1. Tajima, Yusuke & Nagatani, Takashi, 2002. "Clogging transition of pedestrian flow in T-shaped channel," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 303(1), pages 239-250.
    2. Tajima, Yusuke & Takimoto, Kouhei & Nagatani, Takashi, 2001. "Scaling of pedestrian channel flow with a bottleneck," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 294(1), pages 257-268.
    3. Muramatsu, Masakuni & Nagatani, Takashi, 2000. "Jamming transition in two-dimensional pedestrian traffic," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 275(1), pages 281-291.
    4. Taku Fujiyama & Nick Tyler, 2010. "Predicting the walking speed of pedestrians on stairs," Transportation Planning and Technology, Taylor & Francis Journals, vol. 33(2), pages 177-202, January.
    5. Muramatsu, Masakuni & Nagatani, Takashi, 2000. "Jamming transition of pedestrian traffic at a crossing with open boundaries," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 286(1), pages 377-390.
    6. Burstedde, C & Klauck, K & Schadschneider, A & Zittartz, J, 2001. "Simulation of pedestrian dynamics using a two-dimensional cellular automaton," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 295(3), pages 507-525.
    7. Tajima, Yusuke & Nagatani, Takashi, 2001. "Scaling behavior of crowd flow outside a hall," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 292(1), pages 545-554.
    8. Weifeng, Yuan & Kang Hai, Tan, 2007. "A novel algorithm of simulating multi-velocity evacuation based on cellular automata modeling and tenability condition," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 379(1), pages 250-262.
    9. Nagatani, Takashi, 2001. "Dynamical transition and scaling in a mean-field model of pedestrian flow at a bottleneck," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 300(3), pages 558-566.
    10. Muramatsu, Masakuni & Irie, Tunemasa & Nagatani, Takashi, 1999. "Jamming transition in pedestrian counter flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 267(3), pages 487-498.
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