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An Approach to Estimating Quadratic Logistic Model Parameters of Fractal Dimension Curves
Yanguang Chen
The fractal dimension curves of urban form and growth fall into two categories: One can be described by common logistic function, and the other can be described with quadratic logi…
Structural Decomposition of Moran's Index by Getis-Ord's Indices
Yanguang Chen
Moran's index and Getis-Ord,s indices are important statistical measures of spatial autocorrelation analysis. Each of them has its own function and scope of application. However, t…
On measure problems in allometric analysis of cities -- How to correctly understand the law of allometric growth
Yanguang Chen
The law of allometric growth originated from biology has been widely used in urban research for a long time. Some conditional research conclusions based on biological phenomena hav…
Geographical space based on urban allometry and fractal dimension
Yanguang Chen
The conventional concept of geographical space is mainly referred to actual space based on landscape, maps, and remote sensing images. However, this notion of space is not enough t…
Scaling invariance of spatial autocorrelation in urban built-up area
Meng Fu, Yanguang Chen
City is proved to be a scale-free phenomenon, and spatial autocorrelation is often employed to analyze spatial redundancy of cities. Unfortunately, spatial analysis results deviate…
Nonlinear Autoregressive Approach to Estimating Logistic Model Parameters of Urban Fractal Dimension Curves
Yanguang Chen
A time series of fractal dimension values of urban form can form a fractal dimension curve and reflects urban growth. In many cases, the fractal dimension curves of cities can be m…
Logistic Regression Modeling Based on Fractal Dimension Curves of Urban Growth
Yanguang Chen
Fractal dimension is an effective scaling exponent of characterizing scale-free phenomena such as cities. Urban growth can be described with time series of fractal dimension of urb…
Multivariable-based correlation dimension analysis for generalized space
Yanguang Chen
Fractal geometry proved to be an effective mathematical tool for exploring real geographical space based on digital maps and remote sensing images. Whether the fractal theory tool…
Deriving two sets of bounds of Moran's index by conditional extremum method
Yanguang Chen
Moran's index is a basic measure of spatial autocorrelation, which has been applied to varied fields of both natural and social sciences. A good measure should have clear boundary…
Exploring Spatial Patterns of Interurban Passenger Flows Using Dual Gravity Models
Zihan Wang, Yanguang Chen
Passenger flows in a traffic network reflect spatial interaction patterns in an urban systems. Gravity models can be employed to quantitatively describe and predict spatial flows.…
Modeling Growth Process of \b{eta} index of Transport Network Based on Nonlinear Spatial Dynamics
Yanguang Chen
The \b{eta} index is one of important measurements reflecting development level of traffic networks. However, how to explain and predict the \b{eta} index growth for a geographical…
Demonstration of Duality of Fractal Gravity Models by Scaling Symmetry
Yanguang Chen
A pair of fractal gravity models can be derived from the spatial interaction models based on entropy maximizing principle and allometric scaling law. The models can be expressed as…
A Study on the Curves of Scaling Behavior of Fractal Cities
Yanguang Chen
The curves of scaling behavior is a significant concept in fractal dimension analysis of complex systems. However, the underlying rationale of this kind of curves for fractal citie…
Stage Division of Urban Growth Based on Logistic Model of Fractal Dimension Curves
Yanguang Chen
The time series of fractal dimension values of urban form always take on sigmoid curves. The basic model of these curves is logistic function. From the logistic model of fractal di…
Gravitational and Autoregressive Analysis Spatial Diffusion of COVID-19 in Hubei Province, China
Yanguang Chen, Yajing Li, Yuqing Long +1
The spatial diffusion of epidemic disease follows distance decay law in geography, but different diffusion processes may be modeled by different mathematical functions under differ…
Modeling Urban Growth and Socio-Spatial Dynamics of Hangzhou: 1964-2010
Jian Feng, Yanguang Chen
Urban population density provides a good perspective for understanding urban growth and socio-spatial dynamics. Based on sub-district data of the five times of national population…
Spatial Signal Analysis based on Wave-Spectral Fractal Scaling: A Case of Urban Street Networks
Yanguang Chen, Yuqing Long
For a long time, many methods are developed to make temporal signal analyses based on time series. However, for geographical systems, spatial signal analyses are as important as te…
Fractal-based modeling and spatial analysis of urban form and growth: a case study of Shenzhen in China
Xiaoming Man, Yanguang Chen
Fractal dimension curves of urban growth can be modeled with sigmoid functions, including logistic function and quadratic logistic function. Different types of logistic functions i…
Multifractal scaling analyses of the spatial diffusion pattern of COVID-19 pandemic in Chinese mainland
Yuqing Long, Yanguang Chen, Yajing Li
Revealing spatiotemporal evolution regularity in the spatial diffusion of epidemics is helpful for preventing and controlling the spread of epidemics. Based on the real-time COVID-…
Exploring the Level of Urbanization Based on Zipf's Scaling Exponent
Yanguang Chen
The rank-size distribution of cities follows Zipf's law, and the Zipf scaling exponent often tends to a constant 1. This seems to be a general rule. However, a recent numerical exp…
Modeling Urban Growth and Form with Spatial Entropy
Yanguang Chen
Entropy is one of physical bases for fractal dimension definition, and the generalized fractal dimension was defined by Renyi entropy. Using fractal dimension, we can describe urba…
Derivation of Relations between Scaling Exponents and Standard Deviation Ratios
Yanguang Chen
The law of allometric growth is one of basic rules for understanding urban evolution. The general form of this law is allometric scaling law. However, the deep meaning and underlyi…
Multifractal scaling analyses of urban street network structure: the cases of twelve megacities in China
Yuqing Long, Yanguang Chen
Traffic networks have been proved to be fractal systems. However, previous studies mainly focused on monofractal networks, while complex systems are of multifractal structure. This…
Geographical Analysis: from Distance-based Space to Dimension-based Space
Yanguang Chen
The traditional concept of space in geography is based on the notion of distance. Where there is a spatial analysis, there is a distance measurement. However, the precondition for…