494 citations · 2.4k across the 84 of their papers we have counts for
12 papers · 1 filter
Fractal dimension evolution and spatial replacement dynamics of urban growth
Yanguang Chen
This paper presents a new perspective of looking at the relation between fractals and chaos by means of cities. Especially, a principle of space filling and spatial replacement is…
Urban chaos and replacement dynamics in nature and society
Yanguang Chen
Many growing phenomena in both nature and society can be predicted with sigmoid function. The growth curve of the level of urbanization is a typical S-shaped one, and can be descri…
On the Four Types of Weight Functions for Spatial Contiguity Matrix
Yanguang Chen
This is a "spatial autocorrelation analysis" of spatial autocorrelation. I use the 1-dimension spatial autocorrelation function (ACF) and partial autocorrelation function (PACF) to…
Fractal Systems of Central Places Based on Intermittency of Space-filling
Yanguang Chen
The central place models are fundamentally important in theoretical geography and city planning theory. The texture and structure of central place networks have been demonstrated t…
Multi-Scaling Allometric Analysis for Urban and Regional Development
Yanguang Chen
The concept of allometric growth is based on scaling relations, and it has been applied to urban and regional analysis for a long time. However, most allometric analyses were devot…
On the Spaces and Dimensions of Geographical Systems
Yanguang Chen
To remove the confusion of concepts about different sorts of geographical space and dimension, a new framework of space theory is proposed in this paper. Based on three sets of fra…
The Rank-Size Scaling Law and Entropy-Maximizing Principle
Yanguang Chen
The rank-size regularity known as Zipf's law is one of scaling laws and frequently observed within the natural living world and in social institutions. Many scientists tried to der…
Modeling fractal structure of city-size distributions using correlation function
Yanguang Chen
Zipf's law is one the most conspicuous empirical facts for cities, however, there is no convincing explanation for the scaling relation between rank and size and its scaling expone…
Zipf's law, 1/f noise, and fractal hierarchy
Yanguang Chen
Fractals, 1/f noise, Zipf's law, and the occurrence of large catastrophic events are typical ubiquitous general empirical observations across the individual sciences which cannot b…
Unraveling the Rank-Size Rule with Self-Similar Hierarchies
Yanguang Chen
Many scientists are interested in but puzzled by the various inverse power laws with a negative exponent 1 such as the rank-size rule. The rank-size rule is a very simple scaling l…
Zipf's law, Hierarchical Structure, and Shuffling-Cards Model for Urban Development
Yanguang Chen
A new angle of view is proposed to find the simple rules dominating complex systems and regular patterns behind random phenomena such as cities. Hierarchy of cities reflects the ub…
The Mathematical Relationship between Zipf's Law and the Hierarchical Scaling Law
Yanguang Chen
The empirical studies of city-size distribution show that Zipf's law and the hierarchical scaling law are linked in many ways. The rank-size scaling and hierarchical scaling seem t…