Volume 132, Number 4, November 2020
|Number of page(s)||7|
|Section||Interdisciplinary Physics and Related Areas of Science and Technology|
|Published online||30 December 2020|
Generalized maximal entropy argument for the gravity law in human mobility
1 Department of Physics and Astronomy and Center for Theoretical Physics, Seoul National University Seoul 08826, Korea
2 Department of Healthcare Information Technology, Inje University - Gimhae 50834, Korea
3 Department of Geography, Sungshin Women's University - Seoul 02844, Korea
Received: 4 July 2020
Accepted: 22 October 2020
In this work, we elaborate on the entropy argument for the trip-chain distribution and derive the unconstrained gravity model. From the most probable trip-chain configurations under the global constraints of the mean trip-chain length as well as the cost, the resulting flow is shown to follow the gravity law. We apply the model to assess the passenger flow in Seoul public transportation system. With the trip-chain cost taking into account the loss from trip time as well as the gain from visiting, the flow is estimated well from the numbers of departing and arriving passengers. It is thus concluded that the gravity model in general can be rationalized through the single paradigm of maximal entropy.
PACS: 89.75.Fb – Structures and organization in complex systems / 89.40.Bb – Land transportation / 05.20.Gg – Classical ensemble theory
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