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Urban chaos and replacement dynamics in nature and society

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  • Chen, Yanguang

Abstract

Replacements resulting from competition are ubiquitous phenomena in both nature and society. The evolution of a self-organized system is always a physical process substituting one type of components for another type of components. A logistic model of replacement dynamics has been proposed in terms of technical innovation and urbanization, but it fails to arouse widespread attention in the academia. This paper is devoted to laying the foundations of general replacement principle by using analogy and induction. The empirical base of this study is urban replacement, including urbanization and urban growth. The sigmoid functions can be employed to model various processes of replacement. Many mathematical methods such as allometric scaling and head/tail breaks can be applied to analyzing the processes and patterns of replacement. Among varied sigmoid functions, the logistic function is the basic and the simplest model of replacement dynamics. A new finding is that replacement can be associated with chaos in a nonlinear system, e.g., urban chaos is just a part of replacement dynamics. The aim of developing replacement theory is at understanding complex interaction and conversion. This theory provides a new way of looking at urbanization, technological innovation and diffusion, Volterra–Lotka’s predator–prey interaction, man–land relation, and dynastic changes resulting from peasant uprising, and all that. Especially, the periodic oscillations and chaos of replacement dynamics can be used to explain and predict the catastrophic occurrences in the physical and human systems.

Suggested Citation

  • Chen, Yanguang, 2014. "Urban chaos and replacement dynamics in nature and society," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 413(C), pages 373-384.
    • Handle: RePEc:eee:phsmap:v:413:y:2014:i:c:p:373-384
    DOI: 10.1016/j.physa.2014.06.060
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    References listed on IDEAS

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    1. Karmeshu & Bhargava, S. C. & Jain, V. P., 1985. "A rationale for law of technological substitution," Regional Science and Urban Economics, Elsevier, vol. 15(1), pages 137-141, February.
    2. Lucien Benguigui & Daniel Czamanski & Maria Marinov, 2001. "City Growth as a Leap-frogging Process: An Application to the Tel-Aviv Metropolis," Urban Studies, Urban Studies Journal Limited, vol. 38(10), pages 1819-1839, September.
    3. Chen, Yanguang, 2012. "Fractal dimension evolution and spatial replacement dynamics of urban growth," Chaos, Solitons & Fractals, Elsevier, vol. 45(2), pages 115-124.
    4. Batten, David, 1982. "On the dynamics of industrial evolution," Regional Science and Urban Economics, Elsevier, vol. 12(3), pages 449-462, August.
    5. D N Rao & Karmeshu & V P Jain, 1989. "Dynamics of Urbanization: The Empirical Validation of the Replacement Hypothesis," Environment and Planning B, , vol. 16(3), pages 289-295, September.
    6. Chen, Yanguang, 2009. "Spatial interaction creates period-doubling bifurcation and chaos of urbanization," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1316-1325.
    7. Chen, Yanguang, 2014. "An allometric scaling relation based on logistic growth of cities," Chaos, Solitons & Fractals, Elsevier, vol. 65(C), pages 65-77.
    8. Karmeshu, 1988. "Demographic Models of Urbanization," Environment and Planning B, , vol. 15(1), pages 47-54, March.
    9. Chen, Yanguang & Jiang, Shiguo, 2009. "An analytical process of the spatio-temporal evolution of urban systems based on allometric and fractal ideas," Chaos, Solitons & Fractals, Elsevier, vol. 39(1), pages 49-64.
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    Cited by:

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    3. Lü Ye & Yanguang Chen & Yuqing Long, 2023. "Exploring the Relationship between Urbanization and Ikization," Sustainability, MDPI, vol. 15(12), pages 1-17, June.
    4. Chen, Yanguang & Huang, Linshan, 2019. "Modeling growth curve of fractal dimension of urban form of Beijing," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 523(C), pages 1038-1056.

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