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Fractal systems of central places based on intermittency of space-filling

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  • Chen, Yanguang

Abstract

The central place models are fundamentally important in theoretical geography and city planning theory. The texture and structure of central place networks have been demonstrated to be self-similar in both theoretical and empirical studies. However, the underlying rationale of central place fractals in the real world has not yet been revealed so far. This paper is devoted to illustrating the mechanisms by which the fractal patterns can be generated from central place systems. The structural dimension of the traditional central place models is d=2 indicating no intermittency in the spatial distribution of human settlements. This dimension value is inconsistent with empirical observations. Substituting the complete space filling with the incomplete space filling, we can obtain central place models with fractional dimension D

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  • Chen, Yanguang, 2011. "Fractal systems of central places based on intermittency of space-filling," Chaos, Solitons & Fractals, Elsevier, vol. 44(8), pages 619-632.
    • Handle: RePEc:eee:chsofr:v:44:y:2011:i:8:p:619-632
    DOI: 10.1016/j.chaos.2011.05.016
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    References listed on IDEAS

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    1. R White & G Engelen, 1993. "Cellular Automata and Fractal Urban Form: A Cellular Modelling Approach to the Evolution of Urban Land-Use Patterns," Environment and Planning A, , vol. 25(8), pages 1175-1199, August.
    2. repec:cai:popine:popu_p1998_10n1_0240 is not listed on IDEAS
    3. Lucien Benguigui & Daniel Czamanski & Maria Marinov & Yuval Portugali, 2000. "When and Where is a City Fractal?," Environment and Planning B, , vol. 27(4), pages 507-519, August.
    4. Chen, Yanguang & Zhou, Yixing, 2008. "Scaling laws and indications of self-organized criticality in urban systems," Chaos, Solitons & Fractals, Elsevier, vol. 35(1), pages 85-98.
    5. Chen, Yanguang, 2009. "Urban gravity model based on cross-correlation function and Fourier analyses of spatio-temporal process," Chaos, Solitons & Fractals, Elsevier, vol. 41(2), pages 603-614.
    6. Chen, Yanguang, 2009. "Analogies between urban hierarchies and river networks: Fractals, symmetry, and self-organized criticality," Chaos, Solitons & Fractals, Elsevier, vol. 40(4), pages 1766-1778.
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    1. Chen, Yanguang, 2014. "Multifractals of central place systems: Models, dimension spectrums, and empirical analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 402(C), pages 266-282.
    2. Chen, Yanguang, 2021. "Exploring the level of urbanization based on Zipf’s scaling exponent," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 566(C).
    3. Chen, Yanguang, 2023. "Demonstration of duality of fractal gravity models by scaling symmetry," Chaos, Solitons & Fractals, Elsevier, vol. 170(C).
    4. Karima Kourtit, 2021. "City intelligence for enhancing urban performance value: a conceptual study on data decomposition in smart cities," Asia-Pacific Journal of Regional Science, Springer, vol. 5(1), pages 191-222, February.
    5. Chen, Yanguang & Huang, Linshan, 2018. "A scaling approach to evaluating the distance exponent of the urban gravity model," Chaos, Solitons & Fractals, Elsevier, vol. 109(C), pages 303-313.
    6. Xiaohui Xu, 2022. "The Impacts of COVID-19 on the Rank-Size Distribution of Regional Tourism Central Places: A Case of Guangdong-Hong Kong-Macao Greater Bay Area," Sustainability, MDPI, vol. 14(19), pages 1-21, September.
    7. Fernández-Rosales, Iván Yair & Angulo-Brown, Fernando & Pérez-Campuzano, Enrique & Guzmán-Vargas, Lev, 2020. "Distance distributions of human settlements," Chaos, Solitons & Fractals, Elsevier, vol. 136(C).

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