494 citations · 2.4k across the 84 of their papers we have counts for
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An allometric scaling relation based on logistic growth of cities
Yanguang Chen
The relationships between urban area and population size have been empirically demonstrated to follow the scaling law of allometric growth. This allometric scaling is based on expo…
Multifractals of central place systems: models, dimension spectrums, and empirical analysis
Yanguang Chen
Central place systems have been demonstrated to possess self-similar patterns in both the theoretical and empirical perspectives. A central place fractal can be treated as a monofr…
The spatial meaning of Pareto's scaling exponent of city-size distribution
Yanguang Chen
The scaling exponent of a hierarchy of cities used to be regarded as a fractal parameter. The Pareto exponent was treated as the fractal dimension of size distribution of cities, w…
Power-law distributions based on exponential distributions: Latent scaling, spurious Zipf's law, and fractal rabbits
Yanguang Chen
The different between the inverse power function and the negative exponential function is significant. The former suggests a complex distribution, while the latter indicates a simp…
Modeling complex spatial dynamics of two-population interaction in urbanization process
Yanguang Chen, Feng Xu
This paper is mainly devoted to lay an empirical foundation for further research on complex spatial dynamics of two-population interaction. Based on the US population census data,…
Redefining the Attraction Measure, Scaling Exponent and Impedance Function of the Gravity Model
Yanguang Chen, Feng Xu
The attraction measure, scaling exponent, and impedance function of the gravity model are redefined using the concepts from fractals and spatial complexity. Firstly, the attraction…
Fourier Analysis of an Expanded Gravity Model for Spatio-Temporal Interactions
Yanguang Chen, Fahui Wang
Fourier analysis and cross-correlation function are successfully applied to improving the conventional gravity model of interaction between cities by introducing a time variable to…
A Set of Formulae on Fractal Dimension Relations and Its Application to Urban Form
Yanguang Chen
The area-perimeter scaling can be employed to evaluate the fractal dimension of urban boundaries. However, the formula in common use seems to be not correct. By means of mathematic…