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On the Frequency of Severe Terrorist Events

Author

Listed:
  • Aaron Clauset

    (Santa Fe Institute, New Mexico and Department of Computer Science, University of New Mexico, Albuquerque)

  • Maxwell Young

    (Department of Computer Science, University of New Mexico, Albuquerque)

  • Kristian Skrede Gleditsch

    (Department of Government, University of Essex, United Kingdom and Centre for the Study of Civil War, Oslo, Norway)

Abstract

In the spirit of Lewis Richardson’s original study of the statistics of deadly conflicts, we study the frequency and severity of terrorist attacks worldwide since 1968. We show that these events are uniformly characterized by the phenomenon of “scale invariance,†that is, the frequency scales as an inverse power of the severity, P(x) Αx -α . We find that this property is a robust feature of terrorism, persisting when we control for economic development of the target country, the type of weapon used, and even for short time scales. Further, we show that the center of the distribution oscillates slightly with a period of roughly τ≈ 13 years, that there exist significant temporal correlations in the frequency of severe events, and that current models of event incidence cannot account for these variations or the scale invariance property of global terrorism. Finally, we describe a simple toy model for the generation of these statistics and briefly discuss its implications.

Suggested Citation

  • Aaron Clauset & Maxwell Young & Kristian Skrede Gleditsch, 2007. "On the Frequency of Severe Terrorist Events," Journal of Conflict Resolution, Peace Science Society (International), vol. 51(1), pages 58-87, February.
  • Handle: RePEc:sae:jocore:v:51:y:2007:i:1:p:58-87
    DOI: 10.1177/0022002706296157
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    References listed on IDEAS

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    1. B. Peter Rosendorff & Todd Sandler, 2005. "The Political Economy of Transnational Terrorism," Journal of Conflict Resolution, Peace Science Society (International), vol. 49(2), pages 171-182, April.
    2. Per Baltzer Overgaard, 1994. "The Scale of Terrorist Attacks as a Signal of Resources," Journal of Conflict Resolution, Peace Science Society (International), vol. 38(3), pages 452-478, September.
    3. Robert Serfling, 2002. "Efficient and Robust Fitting of Lognormal Distributions," North American Actuarial Journal, Taylor & Francis Journals, vol. 6(4), pages 95-109.
    4. Neil Johnson & Michael Spagat & Jorge A. Restrepo & Nicolás Suárez, 2005. "From old wars to new wars and global terrorism," Documentos de Economía 2745, Universidad Javeriana - Bogotá.
    5. Pape, Robert A., 2003. "The Strategic Logic of Suicide Terrorism," American Political Science Review, Cambridge University Press, vol. 97(3), pages 343-361, August.
    6. M. Goldstein & S. Morris & G. Yen, 2004. "Problems with fitting to the power-law distribution," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 41(2), pages 255-258, September.
    7. Sandler, Todd & Lapan, Harvey E., 1988. "The Calculus of Dissent: An Analysis of Terrorists' Choice of Targets," Staff General Research Papers Archive 10818, Iowa State University, Department of Economics.
    8. Cederman, Lars-Erik, 2003. "Modeling the Size of Wars: From Billiard Balls to Sandpiles," American Political Science Review, Cambridge University Press, vol. 97(1), pages 135-150, February.
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    13. Marcovina Marco & Pellero Bruno, 2015. "A Mathematical Analysis of Domestic Terrorist Activity in the Years of Lead in Italy," Peace Economics, Peace Science, and Public Policy, De Gruyter, vol. 21(3), pages 351-389, August.

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