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An Allometric Algorithm for Fractal-Based Cobb-Douglas Function of Geographical Systems
Joint Authors
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-10-19
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
The generalized Cobb-Douglas production function has been derived from a general input-output relation based on fractality assumptions.
It was proved to be a useful self-affine model for geographical analysis.
However, the ordinary least square calculation is always an ineffectual method for the Cobb-Douglas modeling because of the multicollinearity in the logarithmic linear regression.
In this paper, a novel approach is proposed to build the geographical Cobb-Douglas models.
Combining the concept of allometric scaling with the linear regression technique, we obtain a simple algorithm that can be employed to estimate the parameters of the Cobb-Douglas function.
As a case, the algorithm and models are applied to the public transportation of China’s cities, and the results validate the allometric algorithm.
A conclusion can be drawn that the allometric analysis is an effective way of modeling geographical systems with the general Cobb-Douglas function.
This study is significant for integrating the notions of allometry, fractals, and scaling into a new framework to form a quantitative methodology of spatial analysis.
American Psychological Association (APA)
Luo, Hongyu& Chen, Yanguang. 2014. An Allometric Algorithm for Fractal-Based Cobb-Douglas Function of Geographical Systems. Discrete Dynamics in Nature and Society،Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-1017969
Modern Language Association (MLA)
Luo, Hongyu& Chen, Yanguang. An Allometric Algorithm for Fractal-Based Cobb-Douglas Function of Geographical Systems. Discrete Dynamics in Nature and Society No. 2014 (2014), pp.1-10.
https://search.emarefa.net/detail/BIM-1017969
American Medical Association (AMA)
Luo, Hongyu& Chen, Yanguang. An Allometric Algorithm for Fractal-Based Cobb-Douglas Function of Geographical Systems. Discrete Dynamics in Nature and Society. 2014. Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-1017969
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1017969