IDEAS home Printed from https://ideas.repec.org/p/pra/mprapa/57950.html
   My bibliography  Save this paper

War Size Distribution: Empirical Regularities Behind the Conflicts

Author

Listed:
  • Rafael, González-Val

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 describes accurately 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," MPRA Paper 57950, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:57950
    as

    Download full text from publisher

    File URL: https://mpra.ub.uni-muenchen.de/57950/1/MPRA_paper_57950.pdf
    File Function: original version
    Download Restriction: no

    File URL: https://mpra.ub.uni-muenchen.de/59554/1/MPRA_paper_59554.pdf
    File Function: revised version
    Download Restriction: no

    File URL: https://mpra.ub.uni-muenchen.de/61281/1/MPRA_paper_61281.pdf
    File Function: revised version
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    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. 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.
    3. 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.
    4. 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.
    5. 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.
    6. 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.
    7. 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.
    8. 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.
    9. 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.
    10. John Sutton, 1997. "Gibrat's Legacy," Journal of Economic Literature, American Economic Association, vol. 35(1), pages 40-59, March.
    11. 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.
    12. 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.
    13. 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.
    14. 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.
    15. 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.
    16. 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.
    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.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Sen, Hu & Chunxia, Yang & Xueshuai, Zhu & Zhilai, Zheng & Ya, Cao, 2015. "Distributions of region size and GDP and their relation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 430(C), pages 46-56.
    2. Rafael González‐Val, 2019. "Historical urban growth in Europe (1300–1800)," Papers in Regional Science, Wiley Blackwell, vol. 98(2), pages 1115-1136, April.
    3. Ramos, Arturo & Sanz-Gracia, Fernando & González-Val, Rafael, 2013. "A new framework for the US city size distribution: Empirical evidence and theory," MPRA Paper 52190, University Library of Munich, Germany.
    4. Marco Modica, 2014. "Does the EU have homogeneous urban structure area? The role of agglomeration and the impact of shocks on urban structure," ERSA conference papers ersa14p229, European Regional Science Association.
    5. Bosker, Maarten & Brakman, Steven & Garretsen, Harry & Schramm, Marc, 2008. "A century of shocks: The evolution of the German city size distribution 1925-1999," Regional Science and Urban Economics, Elsevier, vol. 38(4), pages 330-347, July.
    6. Duranton, Gilles & Puga, Diego, 2014. "The Growth of Cities," Handbook of Economic Growth, in: Philippe Aghion & Steven Durlauf (ed.), Handbook of Economic Growth, edition 1, volume 2, chapter 5, pages 781-853, Elsevier.
    7. Tomoya Mori & Tony E. Smith, 2009. "A Reconsideration of the NAS Rule from an Industrial Agglomeration Perspective," KIER Working Papers 669, Kyoto University, Institute of Economic Research.
    8. Xavier Gabaix, 2009. "Power Laws in Economics and Finance," Annual Review of Economics, Annual Reviews, vol. 1(1), pages 255-294, May.
    9. Ioannides, Yannis M. & Zhang, Junfu, 2017. "Walled cities in late imperial China," Journal of Urban Economics, Elsevier, vol. 97(C), pages 71-88.
    10. Kwok Tong Soo, 2018. "Innovation across cities," Journal of Regional Science, Wiley Blackwell, vol. 58(2), pages 295-314, March.
    11. repec:wiw:wiwrsa:ersa14p34 is not listed on IDEAS
    12. Valente J. Matlaba & Mark J. Holmes & Philip McCann & Jacques Poot, 2013. "A Century Of The Evolution Of The Urban System In Brazil," Review of Urban & Regional Development Studies, Wiley Blackwell, vol. 25(3), pages 129-151, November.
    13. Rafael González-Val, 2019. "US city-size distribution and space," Spatial Economic Analysis, Taylor & Francis Journals, vol. 14(3), pages 283-300, July.
    14. Arshad, Sidra & Hu, Shougeng & Ashraf, Badar Nadeem, 2019. "Zipf’s law, the coherence of the urban system and city size distribution: Evidence from Pakistan," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 513(C), pages 87-103.
    15. repec:wyi:journl:002175 is not listed on IDEAS
    16. Halvarsson, Daniel, 2013. "Industry Differences in the Firm Size Distribution," Ratio Working Papers 214, The Ratio Institute.
    17. Rafael González-Val, 2012. "A Nonparametric Estimation of the Local Zipf Exponent for all US Cities," Environment and Planning B, , vol. 39(6), pages 1119-1130, December.
    18. Rafael González-Val, 2021. "The Probability Distribution of Worldwide Forest Areas," Sustainability, MDPI, vol. 13(3), pages 1-19, January.
    19. Alexandra SCHAFFAR, 2012. "La Loi De Zipf Sous Le Prisme De L’Auto-Correlation Spatiale - Les Cas De La Chine Et De L’Inde," Region et Developpement, Region et Developpement, LEAD, Universite du Sud - Toulon Var, vol. 36, pages 189-204.
    20. Giorgio Fazio & Marco Modica, 2015. "Pareto Or Log-Normal? Best Fit And Truncation In The Distribution Of All Cities," Journal of Regional Science, Wiley Blackwell, vol. 55(5), pages 736-756, November.
    21. Cuberes, David, 2007. "A Model of Sequential City Growth," MPRA Paper 2172, University Library of Munich, Germany.
    22. Kristian GIESEN & Jens SÜDEKUM, 2012. "The French Overall City Size Distribution," Region et Developpement, Region et Developpement, LEAD, Universite du Sud - Toulon Var, vol. 36, pages 107-126.

    More about this item

    Keywords

    war size distribution; battle deaths; 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

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:pra:mprapa:57950. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Joachim Winter (email available below). General contact details of provider: https://edirc.repec.org/data/vfmunde.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.