Modeling Urban Growth and Form with Spatial Entropy

Author

Chen, Yanguang

Source

Complexity

Issue

Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-14, 14 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2020-11-19

Country of Publication

Egypt

No. of Pages

14

Main Subjects

Philosophy

Abstract EN

Entropy is one of the physical bases for the fractal dimension definition, and the generalized fractal dimension was defined by Renyi entropy.

Using the fractal dimension, we can describe urban growth and form and characterize spatial complexity.

A number of fractal models and measurements have been proposed for urban studies.

However, the precondition for fractal dimension application is to find scaling relations in cities.

In the absence of the scaling property, we can make use of the entropy function and measurements.

This paper is devoted to researching how to describe urban growth by using spatial entropy.

By analogy with fractal dimension growth models of cities, a pair of entropy increase models can be derived, and a set of entropy-based measurements can be constructed to describe urban growing process and patterns.

First, logistic function and Boltzmann equation are utilized to model the entropy increase curves of urban growth.

Second, a series of indexes based on spatial entropy are used to characterize urban form.

Furthermore, multifractal dimension spectra are generalized to spatial entropy spectra.

Conclusions are drawn as follows.

Entropy and fractal dimension have both intersection and different spheres of application to urban research.

Thus, for a given spatial measurement scale, fractal dimension can often be replaced by spatial entropy for simplicity.

The models and measurements presented in this work are significant for integrating entropy and fractal dimension into the same framework of urban spatial analysis and understanding spatial complexity of cities.

American Psychological Association (APA)

Chen, Yanguang. 2020. Modeling Urban Growth and Form with Spatial Entropy. Complexity،Vol. 2020, no. 2020, pp.1-14.
https://search.emarefa.net/detail/BIM-1144596

Modern Language Association (MLA)

Chen, Yanguang. Modeling Urban Growth and Form with Spatial Entropy. Complexity No. 2020 (2020), pp.1-14.
https://search.emarefa.net/detail/BIM-1144596

American Medical Association (AMA)

Chen, Yanguang. Modeling Urban Growth and Form with Spatial Entropy. Complexity. 2020. Vol. 2020, no. 2020, pp.1-14.
https://search.emarefa.net/detail/BIM-1144596

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1144596