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Model for the growth of the world airline network

Author

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  • T. Verma

    (ETH Zürich, Computational Physics for Engineering Materials, Institute for Building Materials, Wolfgang-Pauli-Strasse 27, HIT, CH-8093 Zürich, Switzerland)

  • N. A. M. Araújo

    (#x2020;Departamento de Física, Faculdade de Ciências, Universidade de Lisboa, P-1749-016 Lisboa, Portugal‡Centro de Física Teórica e Computacional, Universidade de Lisboa, 1749-016 Lisboa, Portugal)

  • J. Nagler

    (ETH Zürich, Computational Physics for Engineering Materials, Institute for Building Materials, Wolfgang-Pauli-Strasse 27, HIT, CH-8093 Zürich, Switzerland)

  • J. S. Andrade

    (ETH Zürich, Computational Physics for Engineering Materials, Institute for Building Materials, Wolfgang-Pauli-Strasse 27, HIT, CH-8093 Zürich, Switzerland§Departamento de Física, Universidade Federal do Ceará, Campus do Pici, 60455-760 Fortaleza, Ceará, Brazil)

  • H. J. Herrmann

    (ETH Zürich, Computational Physics for Engineering Materials, Institute for Building Materials, Wolfgang-Pauli-Strasse 27, HIT, CH-8093 Zürich, Switzerland§Departamento de Física, Universidade Federal do Ceará, Campus do Pici, 60455-760 Fortaleza, Ceará, Brazil)

Abstract

We propose a probabilistic growth model for transport networks which employs a balance between popularity of nodes and the physical distance between nodes. By comparing the degree of each node in the model network and the World Airline Network (WAN), we observe that the difference between the two is minimized for α≈2. Interestingly, this is the value obtained for the node–node correlation function in the WAN. This suggests that our model explains quite well the growth of airline networks.

Suggested Citation

  • T. Verma & N. A. M. Araújo & J. Nagler & J. S. Andrade & H. J. Herrmann, 2016. "Model for the growth of the world airline network," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 27(12), pages 1-6, December.
    • Handle: RePEc:wsi:ijmpcx:v:27:y:2016:i:12:n:s0129183116501412
    DOI: 10.1142/S0129183116501412
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