Abstract
An integral urban growth model is introduced. We developed this model to capture the different spatial morphologies and urban dynamics observed when more than one city are interacting on a specific region creating large metropolitan areas at different geographical scales. For small scales (1:1500000) our model is based on two well-known fractal growth processes, diffusion and percolation, in order to represent two of the main urban growth drivers: people migration and economics of agglomeration respectively. Morphology at large scales (1:50000) is derived from a Self-Organized Criticality (SOC) model, adapted to urban interactions to explore the possible relations between “avalanches” and city redensification processes.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Murcio R, Rodriguez-Romo S (2009) Physica A 388:2689–2698
Murcio R, Rodríguez-Romo S (2011) Physica A 390(16):2895–2903
Murcio R, Rodriguez-Romo S (2011) Modeling Mexican urban metropolitan area by a self-organized approach. In: Sayama H, Minai A, Braha D, Bar-Yam Y (eds) Unifying themes in complex systems volume VIII: Proceedings of the eighth international conference on complex systems. New England complex systems institute series on complexity. NECSI Knowledge Press, Cambridge, pp 630–642. ISBN 978-0-9656328-4-3
Witten TA, Sander LM (1981) Phys Rev Lett 47:1400
Vicsek T, Szalay A (1987) Fractal distribution of galaxies modeled by a cellular-automaton-type stochastic process. Phys Rev Lett 58:2818–2821
Fujita M, Thisse JF (2002) Economics of agglomeration. Cities, industrial location, and regional growth. Cambridge University Press, Cambridge
Batty M (2007) Cities and complexity: understanding cities with cellular automata, agent-based models, and fractals. MIT Press, Cambridge
Allen PM (1997) Cities and regions as self-organizing systems: models of complexity. Gordon & Breach, New York
Bak P, Tang C, Wiesenfeld K (1987) Phys Rev Lett 59:381
Bak P, Tang C, Wiesenfeld K (1988) Phys Rev A 38:364
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2013 Springer International Publishing Switzerland
About this paper
Cite this paper
Murcio, R., Rodríguez-Romo, S. (2013). Modeling Urban Patterns Across Geographical Scales by a Fractal Diffusion-Aggregation Approach. In: Gilbert, T., Kirkilionis, M., Nicolis, G. (eds) Proceedings of the European Conference on Complex Systems 2012. Springer Proceedings in Complexity. Springer, Cham. https://doi.org/10.1007/978-3-319-00395-5_102
Download citation
DOI: https://doi.org/10.1007/978-3-319-00395-5_102
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-00394-8
Online ISBN: 978-3-319-00395-5
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)