Modeling growth curve of fractal dimension of urban form of Beijing

@article{Chen2019ModelingGC,
  title={Modeling growth curve of fractal dimension of urban form of Beijing},
  author={Yanguang Chen and Linshan Huang},
  journal={Physica A: Statistical Mechanics and its Applications},
  year={2019}
}
The growth curves of fractal dimension of urban form take on squashing effect and can be described by sigmoid functions. The fractal dimension growth of urban form in western countries can be modeled by Boltzmann’s equation and logistic function. However, these models cannot be well applied to the fractal dimension growth curve of Beijing city, the national capital of China. In this paper, the experimental method is employed to find parametric models for the growth curves of fractal dimension… 

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References

SHOWING 1-10 OF 79 REFERENCES
LOGISTIC MODELS OF FRACTAL DIMENSION GROWTH OF URBAN MORPHOLOGY
Urban form can be described with fractal dimension, which is a measurement of space filling of urban evolution. However, how to model and understand the fractal dimension growth of urban morphology
Multifractal Characterization of Urban Form and Growth: The Case of Beijing
Urban form takes on properties similar to random growing fractals and can be described in terms of fractal geometry. However, a model of simple fractals is not effectual enough to characterize both
Fractal dimension evolution and spatial replacement dynamics of urban growth
Abstract 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 proposed
A three dimensional box-counting method for estimating fractal dimension of urban form
Urban fractal dimension analysis is an important method for quantifying the measurement of urban morphology. With rapid urban development in China in recent two decades,the three-dimensional
Spatiotemporal Evolution of Urban Form and Land-Use Structure in Hangzhou, China: Evidence from Fractals
Using fractal theory and urban land-use maps for 1949, 1959, 1980, and 1996, this study is devoted to analyzing the evolutionary features of urban form and land-use structure in Hangzhou, China. We
Fractal dimension and fractal growth of urbanized areas
  • G. Shen
  • Geography, Computer Science
    Int. J. Geogr. Inf. Sci.
  • 2002
TLDR
This paper computes planar fractal dimensions of 20 large US cities along with their surrounding urbanized areas and explores fractal dimension and fractal growth of Baltimore, MD for the 200-year span from 1792–1992.
An allometric scaling relation based on logistic growth of cities
Abstract 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 exponential
Defining urban and rural regions by multifractal spectrums of urbanization
The spatial pattern of urban-rural regional system is associated with the dynamic process of urbanization. How to characterize the urban-rural terrain using quantitative measurement is a difficult
The size, shape and dimension of urban settlements
In this paper, we propose a scale theory of urban form and growth which enables us to consistently explain and estimate relationships between urban population size, area, field and boundary length
Fractal dimension versus density of the built-up surfaces in the periphery of Brussels
This paper aims at showing the usefulness of the fractal dimension for characterizing the spatial structure of the built-up surfaces within the periurban fringe. We first discuss our methodology and
...
1
2
3
4
5
...