A Complex Network Approach to Urban Growth
Open accessAbstract
Economic geography can be viewed as a large and growing network of interacting activities. This fundamental network structure and the large size of such systems makes the complex network approach an attractive model for growth dynamics modeling. In this paper the authors propose the use of complex networks for geographical modeling and demonstrate how such an application can be combined with a cellular model to produce output that is consistent with large-scale regularities such as power laws and fractality. Complex networks can provide a stringent framework for growth dynamic modeling where concepts from, for example, spatial interaction models and multiplicative growth models, can be combined with the flexible representation of land and behaviour found in cellular automata and agent-based models. In addition, there exists a large body of theory for the analysis of complex networks that have direct applications in urban geographic problems. The intended use of such models is twofold: (1) to address the problem of how the empirically observed hierarchical structure of settlements can be explained as a stationary property of a stochastic evolutionary process rather than as equilibrium points in a dynamic process, and, (2) to improve the predictive quality of applied urban modeling.
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The evolution of social and economic life in cities increases with population size: wages, income, gross domestic product and bank deposits scale superlinearly, over different years and nations, with statistically consistent exponents.
“The evolution of social and economic life in cities increases with population size: wages, income, gross domestic product and bank deposits scale super linearly, over different years and nations, with statistically consistent exponents (Bettencourt et al. 2007;Andersson et al. 2006;Florida 2004;Barabasi and Albert 1999).”
From A Network Approach to Link Visibility and Urban Activity Location (2018) · cites this paper as Andersson et al. 2006
The Model validation section reports a linear relationship between population and land value for Swedish clusters, not superlinear scaling of wages, income, GDP, or bank deposits. Searches for those measures and for consistent exponents across years and nations found no passage addressing the attributed finding. (LLM, conf=0.78)
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Cites
The Spatial Economy: Cities, Regions, and International Trade
Fujita, M., Krugman, P., & Venables, A. J. (1999) · doi:10.7551/mitpress/6389.001.0001 · Cited by 4,788 · cited 2× · see citing works
“…1964; 1972; Arthur, 1987; Axtell and Florida, 2001; Batty, 1991; Batty and Longley, 1994; Berry and Garrison, 1958; Dendrinos and Rosser, 1992; Fujita et al, 1999; Gabaix, 1999; Henderson, 1974; Lane, 2002; Makse et al, 1998; Manrubia et al, 1999; Marsili and Zhang, 1998; Reed, 2002; Rosser,…”
BackgroundA statistical theory of spatial distribution models
Wilson, A. G. (1967) · Transportation Research · doi:10.1016/0041-1647(67)90035-4 · Cited by 1,127 · cited 1× · see citing works
“This also means that entropy measures that are commonly used in spatial interaction modeling could also find use in relation to complex networks (Wilson, 1967; 1970).”
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Research works printed but not linked: 38
- Aiello, W., F. Chung, and L. Lu (2000). A random graph model for massive graphs. Proceedings of the 32nd ACM Symposium on the Theory of Computing , 171-180.
- Alonso, W. (1964). Location and Land Use . Harvard University Press.
- Andersson, C., A. Hellervik, K. Lindgren, A. Hagson, and J. Tornberg (2003). The urban economy as a scale-free network. Physical Review E 68 (036124).
- Arthur, W. B. (1987). Urban systems and historical path dependence. In J. H. Ausubel and R. Herman (Eds.), Cities and Their Vital Systems , pp. 85-97. : The University of Michigan Press, Ann Arbor.
- Barab´ asi, A.-L., H. Jeong, R. Ravasz, Z. N´ eda, T. Vicsek, and A. Schubert (2002). Statistical mechanics of complex networks. Review of Modern Physics 74 , 47-97.
- Batty, M. and P. Longley (1994). Fractal Cities: A Geometry of Form and Function . Academic Press.
- Berry, B. J. L. and W. L. W. L. Garrison (1958). Alternate explanations of urban rank size relationships. Annals of the Association of American Geographers 48 , 83-91.
- Bianconi, G. and A.-L. Barab´ asi (2001). Competition and multiscaling in evolving networks. Europhysics Letters 54 (4) , 436-442.
- Brakman, S., H. Garretsen, and C. van Marrewijk (2001). An Introduction to Geographical Economics . Cambridge University Press, Cambridge UK.
- Camacho, J., R. Guimera, and L. A. N. Amaral (2002). Analytical solution of a model for complex food webs. Physical Review E 65 , 030901.
- Cohen, R., K. Erez, D. ben Avraham, , and S. Havlin (2001). Breakdown of the internet under intentional attack. Phys. Rev. Letters 86 , 3682.
- Cohen, R., K. Erez, D. ben Avraham, and S. Havlin (2000). Resilience of the internet to random breakdowns. Phys. Rev. Letters 85 , 4626.
- Curry, L. (1964). The random spatial economy: an exploration in settlement theory. Annals of the Association of American Geographers 54 , 138-146.
- Dendrinos, D. S. and J. B. Rosser (1992). Fundamental issues in nonlinear urban population dynamic models: theory and a synthesis. The Annals of Regional Science 26 , 135-145.
- Gabaix, X. (1999). Zipf's law for cities: an explanation. Quarterly Journal of Economics 114 , 739-767.
- Ghiselin, M. (1974). A radical solution to the species problem. Systematic Zoology 23 (4), 536-544.
- Girvan, M. and M. E. J. Newman (2002). Community structure in social and biological networks. Proc. Natl. Acad. Sci. 99 , 8271-827.
- Haken, H. (1977). Synergetics - an introduction; Nonequilibrium Phase Transitions and Self-Organization in Physics, Chemistry and Biology . Springer-Verlag.
- Henderson, J. V. (1974). The size and types of cities. American Economic Review 64 , 640-656.
- Hohenberg, P. and L. Lees (1995). The Making of Urban Europe 1000-1994 . Cambridge MA and London: Harvard University Press.
- Holme, P. (2003). Network dynamics of ongoing social relationships. Europhysics Letters 64 , 427-433.
- Ioannides, Y. M. and H. G. Overman (2002, March). Zipf's law for cities: an empirical examination. Regional Science and Urban Economics 33 (2), 127-137.
- Isard, W. (1960). Methods of Regional Analysis . MIT Press.
- Itami, R. M. (1988). Cellular automatons as a framework for dynamic simulations in geographic information systems. in GIS/LIS '88 Proceedings .
- Krapivsky, P. L., S. Redner, and F. Leyvraz (2000). Connectivity of growing random networks. Physical Review Letters 85 , 4629.
- Krugman, P. (1991). Increasing returns and economic geography. Journal of Political Economy 99 (3), 483-499.
- Lane, D. (2002). Complexity and local interactions: Towards a theory of industrial districts. In A. C. Quadrio and M. Fortis (Eds.), Complexity and Industrial Clusters . Berlin: Springer Verlag.
- Marsili, M. and Y.-C. Zhang (1998). Interacting individuals leading to zipf's law. Physical Review Letters 80 (12), 2741-2744. Moss, M. L. and A. M. Townsend (2000). The internet backbone and the american metropolis. The Information Society Journal 16 (1), 35-47.
- Newman, M. E. J. (2003). The structure and function of complex networks. SIAM Review 45 (2), 167-256.
- Pastor-Satorras, R., A. V´ azquez, and A. Vespignani (2001). Dynamical and correlation properties of the internet. Physical Review Letters 87 (25).
- Pijanowski, B., D. Brown, B. Shellito, and G. Manik (2002). Using neural networks and gis to forecast land use changes: a land transformation model. Computers, Environment and Urban Systems 26 (6), 553-575.
- Redner, S. (1998). How popular is your paper? an empirical study of the citation distribution. European Physics Journal B4 , 131-134.
- Reed, B. (2002). On the rank-size distribution for human settlements. Journal of Regional Science 41 , 1-17.
- Rosen, K. T. and M. Resnick (1980). The size distribution of cities: an examination of the pareto law and primacy. Journal of Urban Economics 8 , 165-186.
- Rosser, J. B. (1998). Coordination and bifurcation in growing spatial economies. The Annals of Regional Science 32 , 133-143.
- Tobler, W. (1979). Cellular geography. In S. Gale and G. Olsson (Eds.), Philosophy in Geography , pp. 379-386. D. Reidel Publishing Company, Dordrecht, Holland.
- White, R., G. Engelen, and I. Uljee (1997). The use of constrained cellular automata for high-resolution modelling of urban land use dynamics. Environment and Planning B, Vol. 24 , 323-343.
- Yeh, A. G.-O. and X. Li (2002). Urban simulation using neural networks and cellular automata for land use planning. In D. Richardson and P. van Oosterom (Eds.), Advances in Spatial Data Handling , pp. 451-464. : The University of Michigan Press, Ann Arbor.
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A Network Approach to Link Visibility and Urban Activity Location
Natapov, A., Czamanski, D., & Fisher-Gewirtzman, D. (2018) · Networks and Spatial Economics · doi:10.1007/s11067-018-9411-4 · Cited by 11 · see citing works
“…economic life in cities increases with population size: wages, income, gross domestic product and bank deposits scale super linearly, over different years and nations, with statistically consistent exponents (Bettencourt et al. 2007; Andersson et al. 2006; Florida 2004; Barabasi and Albert 1999).”
Background
- Authors
- Andersson, C., Frenken, K., & Hellervik, A.
- Affiliations
- Chalmers University of Technology (SE)
- Utrecht University (NL)
- Brunel University of London (GB)
- Corresponding author
- Andersson, Claes
- Frenken, Koen
- Hellervik, Alexander
- Venue
- Environment and Planning A: Economy and Space
- Publisher
- SAGE Publications
- Published
- 2006-10
- Volume
- 38
- Issue
- 10
- Pages
- 1941-1964
- ISSN
- 0308-518X (ISSN-L)
- 1472-3409
- OpenAlex
- W2059757199
- Cited by
- 67
- References
- 2
- Citations by year
- 2024: 3 · 2023: 2 · 2022: 4 · 2021: 5 · 2020: 1 · 2019: 3 · 2018: 4 · 2017: 5 · 2016: 1 · 2015: 3 · 2014: 5 · 2013: 6 · 2012: 2
- FWCI
- 9.47
- Type
- journal article
- Language
- en
- Open access
- green
- dspace.library.uu.nl
- Locations
- Environment and Planning A Economy and Space (publishedVersion)
- TU/e Research Portal (publishedVersion)
- RePEc: Research Papers in Economics (submittedVersion)
- TU/e Research Portal (submittedVersion)
- Utrecht University Repository (Utrecht University) (submittedVersion, other-oa)
- Chalmers Research (Chalmers University of Technology) (submittedVersion)
- Topics
- Social Sciences › Economics, Econometrics and Finance › Economics and Econometrics › Regional Economics and Spatial Analysis
- Physical Sciences › Engineering › Building and Construction › Urban Design and Spatial Analysis
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Complex Network Analysis Techniques
- Keywords
- urban expansion, complex networks, cellular automata, agent-based modeling, power law, fractality, settlement hierarchy, spatial interaction models, urban modeling
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