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Characterizing Growth and Form of Fractal Cities with Allometric Scaling Exponents
Author
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-22, 22 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-09-13
Country of Publication
Egypt
No. of Pages
22
Main Subjects
Abstract EN
Fractal growth is a kind of allometric growth, and the allometric scaling exponents can be employed to describe growing fractal phenomena such as cities.
The spatial features of the regular fractals can be characterized by fractal dimension.
However, for the real systems with statistical fractality, it is incomplete to measure the structure of scaling invariance only by fractal dimension.
Sometimes, we need to know the ratio of different dimensions rather than the fractal dimensions themselves.
A fractal-dimension ratio can make an allometric scaling exponent (ASE).
As compared with fractal dimension, ASEs have three advantages.
First, the values of ASEs are easy to be estimated in practice; second, ASEs can reflect the dynamical characters of system's evolution; third, the analysis of ASEs can be made through prefractal structure with limited scale.
Therefore, the ASEs based on fractal dimensions are more functional than fractal dimensions for real fractal systems.
In this paper, the definition and calculation method of ASEs are illustrated by starting from mathematical fractals, and, then, China's cities are taken as examples to show how to apply ASEs to depiction of growth and form of fractal cities.
American Psychological Association (APA)
Chen, Yanguang. 2010. Characterizing Growth and Form of Fractal Cities with Allometric Scaling Exponents. Discrete Dynamics in Nature and Society،Vol. 2010, no. 2010, pp.1-22.
https://search.emarefa.net/detail/BIM-453539
Modern Language Association (MLA)
Chen, Yanguang. Characterizing Growth and Form of Fractal Cities with Allometric Scaling Exponents. Discrete Dynamics in Nature and Society No. 2010 (2010), pp.1-22.
https://search.emarefa.net/detail/BIM-453539
American Medical Association (AMA)
Chen, Yanguang. Characterizing Growth and Form of Fractal Cities with Allometric Scaling Exponents. Discrete Dynamics in Nature and Society. 2010. Vol. 2010, no. 2010, pp.1-22.
https://search.emarefa.net/detail/BIM-453539
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-453539