The Proof of Gravity Model with Negative Exponential Land-mixed Entropy and Similar to the Method of Hyman Calibration Technology

Luo Xiao-Qiang*
Architecture School, Chang'an University, Shaanxi, Xi'an, 710061, China.

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© 2015 Luo Xiao-Qiang;

open-access license: This is an open access article distributed under the terms of the Creative Commons Attribution 4.0 International Public License (CC-BY 4.0), a copy of which is available at: This license permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

* Address correspondence to this author at the Architecture School, Chang'an University, Shaanxi, Xi'an, 710061, China; Tel: 029-82330000; E-mail:


Mixed Land use is a common concept used in urban planning and urban transportation. When changing the layout of the land in urban area, essential maintenance of trip demand between local and nonlocal balance in transportation planning becomes a problem. On the basis of the degree of land mixing shown with entropy function, this article makes use of maximum entropy principle which deduces the double restraint gravity model with the parameters of mixed land-use entropy. It also discusses the calibration of the model and problems in practical application. The research work carried out in this article indicates that trip distribution of gravity model described belongs to a special kind of simple giant system, while the mathematical structure of parameters of land-mixed entropy model carries a negative exponential. This result has certain theory value in promotion of the coordinated planning analysis of land use and transportation.

Keywords: Gravity model, land-mixed entropy, maximum entropy principle, the coordinated planning of land use and transportation.