A Hierarchical Allometric Scaling Analysis of Chinese Cities: 1991–2014

Joint Authors

Feng, Jian
Chen, Yanguang

Source

Discrete Dynamics in Nature and Society

Issue

Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-15, 15 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2017-05-22

Country of Publication

Egypt

No. of Pages

15

Main Subjects

Mathematics

Abstract EN

The law of allometric scaling based on Zipf distributions can be employed to research hierarchies of cities in a geographical region.

However, the allometric patterns are easily influenced by random disturbance from the noises in observational data.

In theory, both the allometric growth law and Zipf’s law are related to the hierarchical scaling laws associated with fractal structure.

In this paper, the scaling laws of hierarchies with cascade structure are used to study Chinese cities, and the method of R/S analysis is applied to analyzing the change trend of the allometric scaling exponents.

The results show that the hierarchical scaling relations of Chinese cities became clearer and clearer from 1991 to 2014 year; the global allometric scaling exponent values fluctuated around 0.85, and the local scaling exponent approached 0.85.

The Hurst exponent of the allometric parameter change is greater than 0.5, indicating persistence and a long-term memory of urban evolution.

The main conclusions can be reached as follows: the allometric scaling law of cities represents an evolutionary order rather than an invariable rule, which emerges from self-organized process of urbanization, and the ideas from allometry and fractals can be combined to optimize spatial and hierarchical structure of urban systems in future city planning.

American Psychological Association (APA)

Chen, Yanguang& Feng, Jian. 2017. A Hierarchical Allometric Scaling Analysis of Chinese Cities: 1991–2014. Discrete Dynamics in Nature and Society،Vol. 2017, no. 2017, pp.1-15.
https://search.emarefa.net/detail/BIM-1151510

Modern Language Association (MLA)

Chen, Yanguang& Feng, Jian. A Hierarchical Allometric Scaling Analysis of Chinese Cities: 1991–2014. Discrete Dynamics in Nature and Society No. 2017 (2017), pp.1-15.
https://search.emarefa.net/detail/BIM-1151510

American Medical Association (AMA)

Chen, Yanguang& Feng, Jian. A Hierarchical Allometric Scaling Analysis of Chinese Cities: 1991–2014. Discrete Dynamics in Nature and Society. 2017. Vol. 2017, no. 2017, pp.1-15.
https://search.emarefa.net/detail/BIM-1151510

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1151510