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How to fit the degree distribution of the air network?

Author

Listed:
  • Li, W.
  • Wang, Q.A.
  • Nivanen, L.
  • Le Méhauté, A.

Abstract

We investigate three different approaches for fitting the degree distributions of China-, US- and the composite China+US air network, in order to reveal the nature of such distributions and the potential theoretical background on which they are based. Our first approach is the fitting with q-statistics probability distribution, done separately in two regimes. This yields acceptable outcomes but generates two sets of fitting parameters. The second approach is an entire fitting to all data points with the formula proposed by Tsallis et al. So far, this trial is not able to produce consistent results. In the third approach, we fit the data with two composite distributions which may lack theoretical support for the moment.

Suggested Citation

  • Li, W. & Wang, Q.A. & Nivanen, L. & Le Méhauté, A., 2006. "How to fit the degree distribution of the air network?," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 368(1), pages 262-272.
    • Handle: RePEc:eee:phsmap:v:368:y:2006:i:1:p:262-272
    DOI: 10.1016/j.physa.2005.11.050
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    Cited by:

    1. Wang, Qiuping A., 2021. "Principle of least effort vs. maximum efficiency: deriving Zipf-Pareto's laws," Chaos, Solitons & Fractals, Elsevier, vol. 153(P1).
    2. Livadiotis, George, 2007. "Approach to general methods for fitting and their sensitivity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 375(2), pages 518-536.
    3. Dunn, Sarah & Wilkinson, Sean M., 2016. "Increasing the resilience of air traffic networks using a network graph theory approach," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 90(C), pages 39-50.
    4. Sean Wilkinson & Sarah Dunn & Shu Ma, 2012. "The vulnerability of the European air traffic network to spatial hazards," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 60(3), pages 1027-1036, February.

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