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Dynamic fluctuation model of complex networks with weight scaling behavior and its application to airport networks

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  • Zhang, Hai-Tian
  • Yu, Tao
  • Sang, Jian-Ping
  • Zou, Xian-Wu

Abstract

Airport networks are a kind of complex systems that display significant fluctuations. To describe this kind of phenomena a dynamical fluctuation model is proposed. In this model the fluctuations in growth rates of weight are exponential. There are two adjustable parameters: the exponent β and the creation probability Pd of a new node. β characterizes the tendency to retain an “optimal” allocation of weights (size of components) for a given kind of networks. Pd reflects the interactive effect between the weight fluctuation and variation of nodes and links (topological structure) for each real network. For airport networks the exponent β is 0.4 and the creation probability Pd is equal to 0.018 (China), 0.025 (US), 0.03 (Brazil) and 0.04 (Europe). This model quantitatively describes and reproduces these real airport networks.

Suggested Citation

  • Zhang, Hai-Tian & Yu, Tao & Sang, Jian-Ping & Zou, Xian-Wu, 2014. "Dynamic fluctuation model of complex networks with weight scaling behavior and its application to airport networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 393(C), pages 590-599.
    • Handle: RePEc:eee:phsmap:v:393:y:2014:i:c:p:590-599
    DOI: 10.1016/j.physa.2013.09.005
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    References listed on IDEAS

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    1. Ulanowicz, Robert E., 2009. "The dual nature of ecosystem dynamics," Ecological Modelling, Elsevier, vol. 220(16), pages 1886-1892.
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    Cited by:

    1. Lordan, Oriol & Sallan, Jose M. & Simo, Pep, 2014. "Study of the topology and robustness of airline route networks from the complex network approach: a survey and research agenda," Journal of Transport Geography, Elsevier, vol. 37(C), pages 112-120.
    2. Zhang, Yaping & Peng, Ting & Fu, Chuanyun & Cheng, Shaowu, 2016. "Simulation analysis of factors affecting air route connection in China," Journal of Air Transport Management, Elsevier, vol. 50(C), pages 12-20.
    3. Sun, Xiaoqian & Wandelt, Sebastian, 2014. "Network similarity analysis of air navigation route systems," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 70(C), pages 416-434.

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