Exploring Trampling and Crushing in a Crowd
Publication: Journal of Transportation Engineering
Volume 131, Issue 8
Abstract
Using published field data on accidents in crowds involving either the trampling or crushing of pedestrians, a theory has been developed to model similar dangerous situations. Whether a particular situation is fatal is statistical, but general rules may be established. In cases involving trampling, which occurs when pedestrians are moving, it was found that the density of pedestrians is an important isotropic quantity that appears to determine the probability of a fatal accident. Previous studies have also identified the density of a crowd as determining the probability of crushing within a stationary crowd, although different densities are involved in the initiation of these two types of accidents. In a moving crowd, trampling will occur before crushing, but trampling does not occur in a static crowd. The cross-sectional size of pedestrians within the crowd is important in determining whether a particular density is dangerous in both types of accidents. Consequently, comparisons of accidents involving different groups of pedestrians, possibly in different countries, need to be standardized for the characteristics of the group.
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Acknowledgments
The writers would like to thank the Danish Foreign Ministry for its assistance in obtaining the coroner’s reports on the Roskilde Festival 2000 accident. The writers would also like to thank Mr. Paul Werthimer, principal of Crowd Management Strategies, U.S.A, for providing a copy of Rock Concert Safety, and Ms. Susanne Riehn Kristensen, correspondent for the official Web site of the Roskilde Festival, Denmark, for her help with locating the site map for the Roskilde Festival 2000.
References
Bokhary, J. (1993). “The Lan Kwai Fong disaster on January 1, 1993.” Final Report, Royal Commission, Hong Kong.
Canetti, E. (2000). Crowds and power, Phoenix Press, London.
Clements, R. R., and Hughes, R. L. (2004). “Mathematical modelling of a mediaeval battle: The Battle of Agincourt, 1415.” Mathematics and computers in simulation, 64, 259–269.
Greenshields, B. D. (1934). “A study of traffic capacity.” Highw. Res. Board, Proc. Annu. Meet., 14, 448–477.
Harada, T. (2002). “The Akashi fireworks disaster 21 July 2001.” Final Report, Coroner’s Inquest, Akashi, Japan (in Japanese).
Hughes, R. L. (2002). “A continuum theory for the flow of pedestrians.” Transp. Res., Part B: Methodol., 36, 507–535.
Lam, W. H. K., and Cheung, C.-Y (2000). “Pedestrian speed/flow relationships for walking facilities in Hong Kong.” J. Transp. Eng., 126(4), 343–349.
Lighthill, M. J., and Whitham, G. B. (1955). “On kinematic waves. I: Flood movement in long rivers; II: Theory of traffic flow on long crowded roads.” Proc. R. Soc. London, Ser. A, 229, 281–345.
Matthews, L. R. (1996). Cardiopulmonary anatomy and physiology, Lippincott-Raven, Philadelphia.
McPhail, C. (1991). The myth of the madding crowd, Walter de Gruyter, New York.
Merlung, E. (2002). “Statsadvokaten for Sjællands redegørelse vedr. ulykken på Roskilde Festival 2000.” Final Rep., Coroner’s Inquest, Roskilde, Denmark (in Danish).
Nicholson, C. E. (1993). “The investigation of the Hillsborough disaster by the Health and Safety Executive.” Engineering for crowd safety, R. A. Smith and J. Dickie, eds., Elsevier, Amsterdam, The Netherlands, 303–311.
Pheasant, S. T. (1998). Bodyspace: Anthropometry, ergonomics, and the design of work, Taylor and Francis, London.
Roskilde, Politi. (2000). “Report on the accident at Roskilde Festival on 30 June 2000.” Police Report, Roskilde, Denmark.
Tavris, C. (1991). “In groups, we shrink from loner’s heroics.” Los Angeles Times.
Taylor, P. (1990). “The Hillsborough Stadium disaster: 15 April 1989.” Final Rep., Royal Commission, Her Majesty’s Stationery Office, London.
Underwood, R. (1961). “Speed, volume, and density relationships.” Quality and theory of traffic flow, Yale Bureau of Highway Traffic, New Haven, Conn.
Valach, L., Young, R. A., and Lynam, M. J. (2002). A primer for applied research in the social sciences, Praeger, Westport, Conn.
Virkler, M. R., and Elayadath, S. (1994). “Pedestrian speed-flow-density relationships.” Transp. Res. Rec., Transportation Research Board, Washington, D.C., 51–58.
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© 2005 ASCE.
History
Received: Dec 23, 2002
Accepted: May 4, 2004
Published online: Aug 1, 2005
Published in print: Aug 2005
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