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Triadic motifs and dyadic self-organization in the World Trade Network

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  • Tiziano Squartini
  • Diego Garlaschelli
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    Abstract

    In self-organizing networks, topology and dynamics coevolve in a continuous feedback, without exogenous driving. The World Trade Network (WTN) is one of the few empirically well documented examples of self-organizing networks: its topology strongly depends on the GDP of world countries, which in turn depends on the structure of trade. Therefore, understanding which are the key topological properties of the WTN that deviate from randomness provides direct empirical information about the structural effects of self-organization. Here, using an analytical pattern-detection method that we have recently proposed, we study the occurrence of triadic "motifs" (subgraphs of three vertices) in the WTN between 1950 and 2000. We find that, unlike other properties, motifs are not explained by only the in- and out-degree sequences. By contrast, they are completely explained if also the numbers of reciprocal edges are taken into account. This implies that the self-organization process underlying the evolution of the WTN is almost completely encoded into the dyadic structure, which strongly depends on reciprocity.

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    File URL: http://arxiv.org/pdf/1201.1215
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    Bibliographic Info

    Paper provided by arXiv.org in its series Papers with number 1201.1215.

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    Date of creation: Jan 2012
    Date of revision: Jan 2012
    Publication status: Published in in Self-Organizing Systems (series: Lec. Notes Comp. Science 7166/2012), chapter 3, pp. 24-35, Springer (edited by F. A. Kuipers and P. E. Heegaard) (2012)
    Handle: RePEc:arx:papers:1201.1215

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    Web page: http://arxiv.org/

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    1. D. Garlaschelli & T. Di Matteo & T. Aste & G. Caldarelli & M. I. Loffredo, 2007. "Interplay between topology and dynamics in the World Trade Web," Papers physics/0701030, arXiv.org.
    2. D. Garlaschelli & M. I. Loffredo, 2004. "Fitness-dependent topological properties of the World Trade Web," Papers cond-mat/0403051, arXiv.org, revised Oct 2004.
    3. D. Garlaschelli & T. Di Matteo & T. Aste & G. Caldarelli & M. I. Loffredo, 2007. "Interplay between topology and dynamics in the World Trade Web," The European Physical Journal B - Condensed Matter and Complex Systems, Springer, vol. 57(2), pages 159-164, 05.
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