Advertisement

The European Physical Journal Special Topics

, Volume 225, Issue 10, pp 1985–1995 | Cite as

How log-normal is your country? An analysis of the statistical distribution of the exported volumes of products

  • Mario Alberto AnnunziataEmail author
  • Alberto Petri
  • Giorgio Pontuale
  • Andrea Zaccaria
Regular Article Network Economics
Part of the following topical collections:
  1. Complex, Inter-networked Economic and Social Systems

Abstract

We have considered the statistical distributions of the volumes of 1131 products exported by 148 countries. We have found that the form of these distributions is not unique but heavily depends on the level of development of the nation, as expressed by macroeconomic indicators like GDP, GDP per capita, total export and a recently introduced measure for countries’ economic complexity called fitness. We have identified three major classes: a) an incomplete log-normal shape, truncated on the left side, for the less developed countries, b) a complete log-normal, with a wider range of volumes, for nations characterized by intermediate economy, and c) a strongly asymmetric shape for countries with a high degree of development. Finally, the log-normality hypothesis has been checked for the distributions of all the 148 countries through different tests, Kolmogorov-Smirnov and Cramér-Von Mises, confirming that it cannot be rejected only for the countries of intermediate economy.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    B. Balassa, The Manchester School 33, 99 (1965)CrossRefGoogle Scholar
  2. 2.
    M. Bee, M. Riccaboni, S. Schiavo, Phys. Rev. E 84, 026104 (2011)ADSCrossRefGoogle Scholar
  3. 3.
    S.T. Bramwell, T. Fennell, P.C.W. Holdsworth, B. Portelli, EPL 57, 310 (2002)ADSCrossRefGoogle Scholar
  4. 4.
    G. Caldarelli, M. Cristelli, A. Gabrielli, L. Pietronero, A. Scala, A. Tacchella, PLoS ONE 7, e47278 (2012)ADSCrossRefGoogle Scholar
  5. 5.
    M. Cristelli, A. Gabrielli, A. Tacchella, G. Caldarelli, L. Pietronero, PLoS ONE 10, e70726 (2013)CrossRefGoogle Scholar
  6. 6.
    M. Cristelli, A. Tacchella, A. Zaccaria, L. Pietronero, Growth scenarios for sub-saharan countries in the framework of economic complexity (2014) https://mpra.ub.uni-muenchen.de/71594
  7. 7.
    M. Cristelli, A. Tacchella, L. Pietronero, PLoS ONE 10, e0117174 (2015)CrossRefGoogle Scholar
  8. 8.
    D.A. Darling, The Annals of Mathematical Statistics 28, 823 (1957)MathSciNetCrossRefGoogle Scholar
  9. 9.
    W. Easterly, A. Reshef, J. Schwenkenberg, The World Bank Policy Research Working Paper, 5081 (2009)Google Scholar
  10. 10.
    G. Fagiolo, J. Econ. Interact. and Coordi. 5, 1 (2010)CrossRefGoogle Scholar
  11. 11.
    G. Gaulier, S. Zignago, Centre d’Etudes Prospectives et d’Informations Internationales (2010), http://www.cepii.fr/anglaisgraph/workpap/pdf/2010/wp2010-23.pdf
  12. 12.
    E. Helpman, M.J. Melitz, S.R. Yeaple, Export versus fdi. Technical report, National Bureau of Economic Research (2003)Google Scholar
  13. 13.
    C. Hidalgo, R. Hausmann, Proc. Natl. Acad. Sci. 106, 10570 (2009)ADSCrossRefGoogle Scholar
  14. 14.
    I.M. Jánosi, J.A.C. Gallas, Physica A 271, 448 (1999)ADSCrossRefGoogle Scholar
  15. 15.
    M.J. Melitz, Econometrica 71, 1695 (2003)MathSciNetCrossRefGoogle Scholar
  16. 16.
  17. 17.
  18. 18.
    A. Petri, A. Baldassarri, F. Dalton, G. Pontuale, L. Pietronero, S. Zapperi, Eur. Phys. J. B 64, 531 (2008)ADSCrossRefGoogle Scholar
  19. 19.
    E. Pugliese, A. Zaccaria, L. Pietronero, On the convergence of the fitness-complexity algorithm [arXiv:1410.0249] (2014)
  20. 20.
    E. Pugliese, G.L. Chiarotti, A. Zaccaria, L. Pietronero, Complex economies have a lateral escape from the poverty trap [arXiv:1511.08622] (2015)
  21. 21.
    W.J. Reed, M. Jorgensen, Communications in statistics: Theory and Methods 33, 1733 (2004)MathSciNetCrossRefGoogle Scholar
  22. 22.
    W. Shockley, Proceedings of the IRE 45, 180 (1957)CrossRefGoogle Scholar
  23. 23.
    T. Squartini, G. Fagiolo, D. Garlaschelli, Phys. Rev. E 84, 046118 (2011)ADSCrossRefGoogle Scholar
  24. 24.
    A. Tacchella, M. Cristelli, G. Caldarelli, A. Gabrielli, L. Pietronero, Sci. Rep. 2, 723 (2012)ADSCrossRefGoogle Scholar
  25. 25.
    A. Zaccaria, M. Cristelli, A. Tacchella, L. Pietronero, PLoS ONE 9, e113770 (2014)ADSCrossRefGoogle Scholar
  26. 26.
    A. Zaccaria, M. Cristelli, R. Kupers, A. Tacchella, L. Pietronero, J. Econ. Interact. Coordi. 11, 151 (2016)CrossRefGoogle Scholar

Copyright information

© EDP Sciences and Springer 2016

Authors and Affiliations

  • Mario Alberto Annunziata
    • 1
    Email author
  • Alberto Petri
    • 1
  • Giorgio Pontuale
    • 1
  • Andrea Zaccaria
    • 1
  1. 1.CNR, Istituto dei Sistemi Complessi Dipartimento di Fisica, Università SapienzaRomaItaly

Personalised recommendations