Transient dynamics and scaling phenomena in urban growth

Fractals

Volumn 7, Issue 1, 1999, Pages 1-8

  Manrubia, Susanna C ^a   Zanette, Damián H ^b   Solé, Ricard V ^c,d  

^a FRITZ HABER INSTITUT DER MAX PLANCK GESELLSCHAFT   (Germany)

^b CENTRO ATÓMICO BARILOCHE   (Argentina)

^c UNIVERSITAT POLITÈCNICA DE CATALUNYA   (Spain)

^d SANTA FE INSTITUTE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0347563997     PISSN: 0218348X     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218348X99000025     Document Type: Article

References (21)

1. United Nations Center for Human Settlements, An Urbanizing World: Global Report on Human Settlements 1996 (Oxford University Press, 1996).
2. G. K. Zipf, Human Behavior and the Principle of Least Effort (Addison-Wesley, Cambridge MA, 1949).
3. H. A. Makse, S. Havlin and H. E. Stanley, Nature 377, 608 (1995); H. A. Makse, J. S. Andrade Jr., M. Batty, S. Havlin and H. E. Stanley, Phys. Rev. E58, 7054 (1998).
4. H. A. Makse, S. Havlin and H. E. Stanley, Nature 377, 608 (1995); H. A. Makse, J. S. Andrade Jr., M. Batty, S. Havlin and H. E. Stanley, Phys. Rev. E58, 7054 (1998).
5. M. Batty and P. Longley, Fractal Cities (Academic Press, San Diego, 1994).
6. M. J. Woldenberg, "An Allometric Analysis of Urban Land Use in the United States," Ekistics 36, 282-290 (1973).
7. C. Clark, J. R. Statist. Soc. A114, 490-496 (1951).
8. E. S. Mills and J. P. Tan, Urban Studies 17, 313-321 (1980).
9. H. A. Simon, Models of Man. Social and Rational (Wiley, New York, 1957).
10. P. M. Allen, J. L. Deneubourg, M. Sanglier et al., "Dynamic Urban Models," Reports Dept. Transp. TSC-1185 (1977).
11. P. Frankhauser, La fractalité des Structures Urbaines (Collection Villes, Anthropos, Paris, 1994).
12. F. Schweitzer and J. Steinbrink, "Urban Cluster Growth: Analysis and Computer Simulations of Urban Aggregations," in Self-Organization of Complex Structures (Gordon & Breach, Amsterdam, 1997).
13. M. Marsili and Y.-C. Zhang, Phys. Rev. Lett. 80, 2741-2744 (1998).
14. D. H. Zanette and S. C. Manrubia, Phys. Rev. Lett. 79, 523 (1997); S. C. Manrubia and D. H. Zanette, Phys. Rev. E58, 295 (1998).
15. D. H. Zanette and S. C. Manrubia, Phys. Rev. Lett. 79, 523 (1997); S. C. Manrubia and D. H. Zanette, Phys. Rev. E58, 295 (1998).
16. Source: National Center for Geographic Information and Analysis, Global Demography Project (http://ncgia.ucsb.edu/).
17. Source: Swiss Federal Statistical Office (http://www.admin.ch/bfs/).
18. 4 (e.g. Italy and Senegal).
19. -2, and even completely destroy it. In this sense, the distribution of country sizes and of Swiss municipalities has to be considered with some care: We find the evidence appealing, but are aware that some other mechanisms might be at play.
20. S. E. Page, Santa Fe Institute Working Paper 98-08-075.
21. B. Arthur, Increasing Returns and Path Dependence in the Economy (University of Michigan Press, 1989).