Letter | Published:

Simulating dynamical features of escape panic

Nature volume 407, pages 487490 (28 September 2000) | Download Citation



One of the most disastrous forms of collective human behaviour is the kind of crowd stampede induced by panic, often leading to fatalities as people are crushed or trampled. Sometimes this behaviour is triggered in life-threatening situations such as fires in crowded buildings1,2; at other times, stampedes can arise during the rush for seats3,4 or seemingly without cause. Although engineers are finding ways to alleviate the scale of such disasters, their frequency seems to be increasing with the number and size of mass events2,5. But systematic studies of panic behaviour6,7,8,9 and quantitative theories capable of predicting such crowd dynamics5,10,11,12 are rare. Here we use a model of pedestrian behaviour to investigate the mechanisms of (and preconditions for) panic and jamming by uncoordinated motion in crowds. Our simulations suggest practical ways to prevent dangerous crowd pressures. Moreover, we find an optimal strategy for escape from a smoke-filled room, involving a mixture of individualistic behaviour and collective ‘herding’ instinct.

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  1. 1.

    The myth of panic. Fire J. 57–61, 147 (May 1982).

  2. 2.

    & Football stadia disasters in the United Kingdom: learning from tragedy? Ind. Environ. Crisis Q. 7(3), 205–229 (1993).

  3. 3.

    & in Hazard Management and Emergency Planning (eds Parker, D. J. & Handmer, J. W.) Ch. 10 (James & James Science, London, 1992).

  4. 4.

    Panic at “The Who Concert Stampede”: an empirical assessment. Soc. Problems 34(4), 362– 373 (1987).

  5. 5.

    & (eds) Engineering for Crowd Safety (Elsevier, Amsterdam, 1993).

  6. 6.

    Non-adaptive group behavior. J. Abnormal Normal Social Psychol. 46, 150–159 ( 1951).

  7. 7.

    , , & Collective behavior in a simulated panic situation. J. Exp. Social Psychol. 1, 20–54 (1965).

  8. 8.

    The behavior of panic participants. Sociol. Social Res. 41, 187–194 (1957).

  9. 9.

    Social Psychology (Free, New York, 1965).

  10. 10.

    et al. in Proc. 1992 Emergency Management and Engineering Conf. (ed. Drager, K. H.) 101–108 (Society for Computer Simulation, Orlando, Florida, 1992).

  11. 11.

    , & A model for simulating human behavior during emergency evacuation based on classificatory reasoning and certainty value handling. Microcomput. Civil Eng. 7, 63– 71 (1992).

  12. 12.

    New computer system can predict human behaviour response to building fires. Fire 84, 40–41 (1993).

  13. 13.

    & Personenströme in Gebäuden–Berechnungsmethoden für die Projektierung (Müller, Köln-Braunsfeld, 1971).

  14. 14.

    Transporttechnik der Fußgänger (Institut für Verkehrsplanung, Transporttechnik, Straßen- und Eisenbahnbau (IVT), ETH Zürich, 1993).

  15. 15.

    , & Freezing by heating in a driven mesoscopic system. Phys. Rev. Lett. 84, 1240–1243 (2000).

  16. 16.

    & Social force model for pedestrian dynamics. Phys. Rev. E 51, 4282– 4286 (1995).

  17. 17.

    & Density patterns in two-dimensional hoppers. Phys. Rev. E 50, R5– R8 (1994).

  18. 18.

    & (eds) Friction, Arching, Contact Dynamics (World Scientific, Singapore, 1997).

  19. 19.

    , , , & Novel type of phase transition in a system of self-driven particles. Phys. Rev. Lett. 75, 1226–1229 (1995).

  20. 20.

    & in The Handbook of Social Psychology Vol. 4 (eds Lindzey, G. & Aronson, E.) (Addison-Wesley, Reading, Massachusetts, 1969).

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D.H. thanks the German Research Foundation (DFG) for financial support by a Heisenberg scholarship. T.V. and I.F. are grateful for partial support by OTKA and FKFP.

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  1. *Collegium Budapest–Institute for Advanced Study, Szentháromság u. 2, H-1014 Budapest, Hungary

    • Dirk Helbing
    •  & Tamás Vicsek
  2. †Institute for Economics and Traffic, Dresden University of Technology, D-01062 Dresden, Germany

    • Dirk Helbing
  3. ‡Department of Biological Physics, Eötvös University, Pázmány Péter Sétány 1A, H-1117 Budapest, Hungary

    • Illés Farkas
    •  & Tamás Vicsek


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Correspondence to Dirk Helbing.

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