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Gravity model explained by the radiation model on a population landscape

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  • Inho Hong
  • Woo-Sung Jung
  • Hang-Hyun Jo

Abstract

Understanding the mechanisms behind human mobility patterns is crucial to improve our ability to optimize and predict traffic flows. Two representative mobility models, i.e., radiation and gravity models, have been extensively compared to each other against various empirical data sets, while their fundamental relation is far from being fully understood. In order to study such a relation, we first model the heterogeneous population landscape by generating a fractal geometry of sites and then by assigning to each site a population independently drawn from a power-law distribution. Then the radiation model on this population landscape, which we call the radiation-on-landscape (RoL) model, is compared to the gravity model to derive the distance exponent in the gravity model in terms of the properties of the population landscape, which is confirmed by the numerical simulations. Consequently, we provide a possible explanation for the origin of the distance exponent in terms of the properties of the heterogeneous population landscape, enabling us to better understand mobility patterns constrained by the travel distance.

Suggested Citation

  • Inho Hong & Woo-Sung Jung & Hang-Hyun Jo, 2019. "Gravity model explained by the radiation model on a population landscape," PLOS ONE, Public Library of Science, vol. 14(6), pages 1-13, June.
    • Handle: RePEc:plo:pone00:0218028
    DOI: 10.1371/journal.pone.0218028
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    Cited by:

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    2. Xue Jiang & Tianyu Zhao, 2020. "Research on the Spatial Structure of County Greenway Network Based on Gravitation-Resistance Measurement—A Case Study of Ning’an in China," Sustainability, MDPI, vol. 12(4), pages 1-19, February.
    3. Nir Kaplan & Itzhak Omer, 2022. "Multiscale Accessibility—A New Perspective of Space Structuration," Sustainability, MDPI, vol. 14(9), pages 1-19, April.
    4. Sun, Long Long & Hu, Ya Peng & Zhu, Chen Ping, 2023. "Scaling invariance in domestic passenger flight delays in the United States," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 611(C).

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