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The Structure and Growth of Weighted Networks

  • Massimo Riccaboni
  • Stefano Schiavo

We develop a simple theoretical framework for the evolution of weighted networks that is consistent with a number of stylized features of real-world data. In our framework, the Barabasi-Albert model of network evolution is extended by assuming that link weights evolve according to a geometric Brownian motion. Our model is verified by means of simulations and real world trade data. We show that the model correctly predicts the intensity and growth distribution of links, the size-variance relationships of the growth of link weights, the relationship between the degree and strength of nodes, as well as the scale-free structure of the network.

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File URL: http://arxiv.org/pdf/0908.0348
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Paper provided by arXiv.org in its series Papers with number 0908.0348.

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Date of creation: Aug 2009
Date of revision: Dec 2009
Handle: RePEc:arx:papers:0908.0348
Contact details of provider: Web page: http://arxiv.org/

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  1. Elhanan Helpman & Marc Melitz & Yona Rubinstein, 2007. "Estimating Trade Flows: Trading Partners and Trading Volumes," NBER Working Papers 12927, National Bureau of Economic Research, Inc.
  2. Diego Garlaschelli & Stefano Battiston & Maurizio Castri & Vito D. P. Servedio & Guido Caldarelli, 2003. "The scale-free topology of market investments," Papers cond-mat/0310503, arXiv.org, revised Dec 2004.
  3. De Fabritiis, Gianni & Riccaboni, Massimo & Pammolli, Fabio, 2003. "On Size and Growth of Business Firms," MPRA Paper 15866, University Library of Munich, Germany.
  4. repec:ver:wpaper:36 is not listed on IDEAS
  5. Yamasaki, Kazuko & Matia, Kaushik & Buldyrev, Sergey V. & Fu, Dongfeng & Pammolli, Fabio & Riccaboni, Massimo & Stanley, H. Eugene, 2004. "Preferential attachment and growth dynamics in complex systems," MPRA Paper 15908, University Library of Munich, Germany, revised 06 Feb 2006.
  6. Dongfeng Fu & Fabio Pammolli & S. V. Buldyrev & Massimo Riccaboni & Kaushik Matia & Kazuko Yamasaki & H. E. Stanley, 2005. "The Growth of Business Firms: Theoretical Framework and Empirical Evidence," Papers physics/0512005, arXiv.org.
  7. Massimo Riccaboni & Fabio Pammolli & Sergey V. Buldyrev & Linda Ponta & H. Eugene Stanley, 2009. "The Size Variance Relationship of Business Firm Growth Rates," Papers 0904.1404, arXiv.org, revised Apr 2009.
  8. D. Garlaschelli & M. I. Loffredo, 2004. "Fitness-dependent topological properties of the World Trade Web," Papers cond-mat/0403051, arXiv.org, revised Oct 2004.
  9. K. Bhattacharya & G. Mukherjee & J. Saramaki & K. Kaski & S. S. Manna, 2007. "The International Trade Network: weighted network analysis and modelling," Papers 0707.4343, arXiv.org, revised Mar 2008.
  10. Growiec, Jakub & Pammolli, Fabio & Riccaboni, Massimo & Stanley, H. Eugene, 2008. "On the size distribution of business firms," Economics Letters, Elsevier, vol. 98(2), pages 207-212, February.
  11. Giorgio Fagiolo & Javier Reyes & Stefano Schiavo, 2007. "On the Topological Properties of the World Trade Web: A Weighted Network Analysis," Papers 0708.4359, arXiv.org.
  12. Giorgio Fagiolo & Javier Reyes & Stefano Schiavo, 2008. "The World-Trade Web: Topological Properties, Dynamics, and Evolution," Sciences Po publications 2008/16, Sciences Po.
  13. Robert C. Feenstra & Robert E. Lipsey & Haiyan Deng & Alyson C. Ma & Hengyong Mo, 2005. "World Trade Flows: 1962-2000," NBER Working Papers 11040, National Bureau of Economic Research, Inc.
  14. Thomas Chaney, 2008. "Distorted Gravity: The Intensive and Extensive Margins of International Trade," American Economic Review, American Economic Association, vol. 98(4), pages 1707-21, September.
  15. Sergey V. Buldyrev & Jakub Growiec & Fabio Pammolli & Massimo Riccaboni & H. Eugene Stanley, 2007. "The Growth of Business Firms: Facts and Theory," Journal of the European Economic Association, MIT Press, vol. 5(2-3), pages 574-584, 04-05.
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