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War Size Distribution: Empirical Regularities Behind the Conflicts

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  • Rafael González-Val

    (Universidad de Zaragoza and Instituto de Economía de Barcelona)

Abstract

This paper analyses the statistical distribution of war size. We find strong support for a Pareto-type distribution (power law) using data from different sources (COW and UCDP) and periods. A power law describesaccurately the size distribution of all wars, but also the distribution of the sample of wars in any given period. The estimated Pareto exponent is always less than 1, indicating that the distribution is heavy-tailed; this means that the war average loss is controlled by the largest conflicts. Furthermore, the study of battle deaths’growth rates reveals a clear decreasing pattern; the growth of deaths declines faster the greater the number of initial deaths.

Suggested Citation

  • Rafael González-Val, 2014. "War Size Distribution: Empirical Regularities Behind the Conflicts," Working Papers 2014.98, Fondazione Eni Enrico Mattei.
    • Handle: RePEc:fem:femwpa:2014.98
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    References listed on IDEAS

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    1. Yannis M. Ioannides & Henry G. Overman, 2004. "Spatial evolution of the US urban system," Journal of Economic Geography, Oxford University Press, vol. 4(2), pages 131-156, April.
    2. John Sutton, 1997. "Gibrat's Legacy," Journal of Economic Literature, American Economic Association, vol. 35(1), pages 40-59, March.
    3. Jack S. Levy & T. Clifton Morgan, 1984. "The Frequency and Seriousness of War," Journal of Conflict Resolution, Peace Science Society (International), vol. 28(4), pages 731-749, December.
    4. Juan Camilo Bohorquez & Sean Gourley & Alexander R. Dixon & Michael Spagat & Neil F. Johnson, 2009. "Common ecology quantifies human insurgency," Nature, Nature, vol. 462(7275), pages 911-914, December.
    5. 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.
    6. Saperstein Alvin M., 2010. "A Comment on the Power Law Relation Between Frequency and Severity of Terrorist Attacks," Peace Economics, Peace Science, and Public Policy, De Gruyter, vol. 16(1), pages 1-6, September.
    7. 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.
    8. Rafael Gonz�lez-Val & Arturo Ramos & Fernando Sanz-Gracia, 2013. "The accuracy of graphs to describe size distributions," Applied Economics Letters, Taylor & Francis Journals, vol. 20(17), pages 1580-1585, November.
    9. Xavier Gabaix & Parameswaran Gopikrishnan & Vasiliki Plerou & H. Eugene Stanley, 2006. "Institutional Investors and Stock Market Volatility," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 121(2), pages 461-504.
    10. Soo, Kwok Tong, 2005. "Zipf's Law for cities: a cross-country investigation," Regional Science and Urban Economics, Elsevier, vol. 35(3), pages 239-263, May.
    11. Gabaix, Xavier & Ioannides, Yannis M., 2004. "The evolution of city size distributions," Handbook of Regional and Urban Economics, in: J. V. Henderson & J. F. Thisse (ed.), Handbook of Regional and Urban Economics, edition 1, volume 4, chapter 53, pages 2341-2378, Elsevier.
    12. Gabaix, Xavier & Ibragimov, Rustam, 2011. "Rank − 1 / 2: A Simple Way to Improve the OLS Estimation of Tail Exponents," Journal of Business & Economic Statistics, American Statistical Association, vol. 29(1), pages 24-39.
    13. Ioannides, Yannis M. & Overman, Henry G., 2003. "Zipf's law for cities: an empirical examination," Regional Science and Urban Economics, Elsevier, vol. 33(2), pages 127-137, March.
    14. Xavier Gabaix & Rustam Ibragimov, 2011. "Rank - 1 / 2: A Simple Way to Improve the OLS Estimation of Tail Exponents," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 29(1), pages 24-39, January.
    15. Xavier Gabaix, 1999. "Zipf's Law for Cities: An Explanation," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 114(3), pages 739-767.
    16. Clauset Aaron & Young Maxwell & Gleditsch Kristian Skrede, 2010. "A Novel Explanation of the Power-Law Form of the Frequency of Severe Terrorist Events: Reply to Saperstein," Peace Economics, Peace Science, and Public Policy, De Gruyter, vol. 16(1), pages 1-7, December.
    17. Nils Petter Gleditsch & Peter Wallensteen & Mikael Eriksson & Margareta Sollenberg & Hã…Vard Strand, 2002. "Armed Conflict 1946-2001: A New Dataset," Journal of Peace Research, Peace Research Institute Oslo, vol. 39(5), pages 615-637, September.
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    More about this item

    Keywords

    War Size Distribution; Battle Feaths; Power Law; Pareto Distribution;
    All these keywords.

    JEL classification:

    • D74 - Microeconomics - - Analysis of Collective Decision-Making - - - Conflict; Conflict Resolution; Alliances; Revolutions
    • F51 - International Economics - - International Relations, National Security, and International Political Economy - - - International Conflicts; Negotiations; Sanctions
    • N40 - Economic History - - Government, War, Law, International Relations, and Regulation - - - General, International, or Comparative

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