Transient Dynamics and Scaling Phenomena in Urban Growth

Manrubia, Susanna C.; Zanette , Damián H.; Solé, Ricard V.

doi:10.1142/S0218348X99000025

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Transient Dynamics and Scaling Phenomena in Urban Growth

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Manrubia, Susanna C.
Physical Chemistry, Fritz Haber Institute, Max Planck Society;

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Citation

Manrubia, S. C., Zanette, D. H., & Solé, R. V. (1999). Transient Dynamics and Scaling Phenomena in Urban Growth. Fractals: Complex Geometry Patterns and Scaling in Nature and Society, 07(1), 1-8. doi:10.1142/S0218348X99000025.

Cite as: https://hdl.handle.net/21.11116/0000-0008-E4A0-1

Abstract

Urban centers present all over the world striking similarities which translate into universal laws describing their growth and morphology. In this paper, we study a simple two-dimensional cellular automata model containing what we identify as essential ingredients in the demographic
change. The slow addition of population to an initially empty area (mimicking migration) added with a reaction diﬀusion process (representing reorganization of the population) allow us to recover many real data and provide us with a better understanding of the main processes
forming and shaping the modern metropolis.