A Wave-Spectrum Analysis of Urban Population Density: Entropy, Fractal, and Spatial Localization
The method of spectral analysis is employed to research the spatial dynamics of urban population distribution. First of all, the negative exponential model is derived in a new way by using an entropy-maximizing idea. Then an approximate scaling relation between wave number and spectral density is de...
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| Format: | Article |
| Language: | English |
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Wiley
2008-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2008/728420 |
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| _version_ | 1849403924751056896 |
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| author | Yanguang Chen |
| author_facet | Yanguang Chen |
| author_sort | Yanguang Chen |
| collection | DOAJ |
| description | The method of spectral analysis is employed to research the spatial dynamics of urban population distribution. First of all, the negative exponential model is derived in a new way by using an entropy-maximizing idea. Then an approximate scaling relation between wave number and spectral density is derived by Fourier transform of the negative exponential model. The theoretical results suggest the locality of urban population activities. So the principle of entropy maximization can be utilized to interpret the locality and localization of urban morphology. The wave-spectrum model is applied to the city in the real world, Hangzhou, China, and spectral exponents can give the dimension values of the fractal lines of urban population profiles. The changing trend of the fractal dimension does reflect the localization of urban population growth and diffusion. This research on spatial dynamics of urban evolvement is significant for modeling spatial complexity and simulating spatial complication of city systems by cellular automata. |
| format | Article |
| id | doaj-art-97c6a3c28eb04affa0077eab63bc4310 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2008-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-97c6a3c28eb04affa0077eab63bc43102025-08-20T03:37:08ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2008-01-01200810.1155/2008/728420728420A Wave-Spectrum Analysis of Urban Population Density: Entropy, Fractal, and Spatial LocalizationYanguang Chen0Department of Urban and Economic Geography, College of Urban and Environmental Sciences, Peking University, Beijing 100871, ChinaThe method of spectral analysis is employed to research the spatial dynamics of urban population distribution. First of all, the negative exponential model is derived in a new way by using an entropy-maximizing idea. Then an approximate scaling relation between wave number and spectral density is derived by Fourier transform of the negative exponential model. The theoretical results suggest the locality of urban population activities. So the principle of entropy maximization can be utilized to interpret the locality and localization of urban morphology. The wave-spectrum model is applied to the city in the real world, Hangzhou, China, and spectral exponents can give the dimension values of the fractal lines of urban population profiles. The changing trend of the fractal dimension does reflect the localization of urban population growth and diffusion. This research on spatial dynamics of urban evolvement is significant for modeling spatial complexity and simulating spatial complication of city systems by cellular automata.http://dx.doi.org/10.1155/2008/728420 |
| spellingShingle | Yanguang Chen A Wave-Spectrum Analysis of Urban Population Density: Entropy, Fractal, and Spatial Localization Discrete Dynamics in Nature and Society |
| title | A Wave-Spectrum Analysis of Urban Population Density: Entropy, Fractal, and Spatial Localization |
| title_full | A Wave-Spectrum Analysis of Urban Population Density: Entropy, Fractal, and Spatial Localization |
| title_fullStr | A Wave-Spectrum Analysis of Urban Population Density: Entropy, Fractal, and Spatial Localization |
| title_full_unstemmed | A Wave-Spectrum Analysis of Urban Population Density: Entropy, Fractal, and Spatial Localization |
| title_short | A Wave-Spectrum Analysis of Urban Population Density: Entropy, Fractal, and Spatial Localization |
| title_sort | wave spectrum analysis of urban population density entropy fractal and spatial localization |
| url | http://dx.doi.org/10.1155/2008/728420 |
| work_keys_str_mv | AT yanguangchen awavespectrumanalysisofurbanpopulationdensityentropyfractalandspatiallocalization AT yanguangchen wavespectrumanalysisofurbanpopulationdensityentropyfractalandspatiallocalization |