Land use interpretation for cellular automata models with socioeconomic heterogeneity

Furtado, Bernardo Alves

Abstracts

Cellular automata models for simulation of urban development usually lack the social heterogeneity that is typical of urban environments. In order to handle this shortcoming, this paper proposes the use of supervised clustering analysis to provide socioeconomic intra-urban land use classification at different levels to be applied to cellular automata models. An empirical test in a highly diverse context in the Greater Metropolitan Area of Belo Horizonte (RMBH) in Brazil is provided. The results show that a reliable division into different socioeconomic land-use classes at large scale enable detailed urban dynamic analysis. Furthermore, the results also allow the quantification of the proportion of urban space occupation for different levels of income; (2) and their pattern in relation to the city centre.

Cellular automata models; Urban development; RMBH; Supervised clustering analysis

Modelos de autômatos celulares para simulação da dinâmica urbana usualmente não incluem heterogeneidades sociais, típicas do espaço urbano. No intuito de lidar com tais falhas, este texto propõe a utilização de análise de agrupamento supervisionada para prover classificação em diferentes níveis socioeconômicos do uso do solo intra-urbano para utilização em modelos de autômatos celulares. Um teste empírico é aplicado no contexto altamente diversificado da Região Metropolitana de Belo Horizonte (RMBH). Os resultados demonstram que divisão de classes socioeconômicas de uso do solo em grande escala permite análise da dinâmica urbana detalhada. Além disso, os resultados permitem a quantificação da proporção da ocupação espacial urbana para os diferentes níveis de renda; e seu padrão em relação à localização do centro urbano.

Modelos de autômatos celulares; Desenvolvimento urbano; RMBH; Aanálise de agrupamento supervisionada

ALLEN, P. M. Cities and Regions as Self-Organizing Systems: models of complexity. Amsterdam, Netherlands: Taylor & Francis, 1997.
ALONSO, W. Location and Land Use: toward a general theory of land rent. Cambridge, MA: Harvard University Press, 1964.
ARTHUR, B. Inductive Reasoning and Bounded Rationality. The American Economic Review, v. 84, n. 2, p. 406-411, 1994.
BATTY, M. Agents, Cells and Cities; new representational models for simulating multiscale urban dynamics. Environment and Planning A, v. 37, n. 8, p. 1373-1394, 2005a.
BATTY, M. Urban Evolution on the Desktop: simulation with the use of extended cellular automata. Environment and Planning A, v. 30, n. 11, p. 1943-1967, 1998.
BATTY, M. Cities and Complexity: understanding cities with cellular automata, agent-based models and fractals. Cambridge, MA: The MIT Press, 2005b.
BATTY, M.; LONGLEY, P. Fractal Cities: a geometry of form and function: Academic Press, 1994.
BENENSON, I.; TORRENS, P. M. Geosimulation: automata-based modeling of urban phenomena. London: John Wiley, 2004.
BENENSON, I. et al. Geographic Automata Systems and the OBEUS Software For Their Implementation. In: PORTUGALI, J. Complex Artificial Environments Amsterdam, Netherlands: Springer Berlin Heidelberg, 2006. p. 137-153.
BERLEKAMP, E. R. et al. Winning Ways for Your Mathematical Plays Wellesley, MA: A K Peters Ltd., 2004.
BOURASSA, S. C. et al. Defining Housing Submarkets. Journal of Housing Economics, v. 8, n. 2, p.160-83, 1999.
BROWN, D. G. et al. Path Dependence and the Validation of Agent-Based Spatial Models of Land Use. International Journal of Geographical Information System, v. 19, n. 2, p.153-174, 2005.
CAPELLO, R.; NIJKAMP, P. (Eds.). Urban Dynamics and Growth: advances in urban economics. Amsterdam: Elsevier, 2004.
CLARKE, K. C. et al A Self-Modifying Cellular Automaton Model of Historical Urbanization in the San Francisco Bay area. Environment and Planning B: Planning and Design v. 24, n. 2, p. 247–261, 1997.
COSTA, H. et al. Novas Periferias Metropolitanas: a expansão metropolitana em Belo Horizonte. Belo Horizonte, Brazil: C/Arte, 2006.
ENGELEN, G. et al. Report 2550016006/2005 Environmental Planning Agency Bilthoven, The Netherlands, 2005
ESRI. ArcMAP Desktop Help [Software]. Redlands, CA: ESRI Press, 2006.
FERNANDEZ, L. et al. Characterizing Location Preferences in an Exurban Population: implications for agent-based modeling. Environment and Planning B, v. 32, n. 6, p.799-820, 2005.
GARDNER, M. Mathematical Games: the fantastic combinations of John Conway's new solitaire game 'Life'. Scientific American, v. 223, n. 4, p.120-123, 1970.
HAGEN-ZANKER, A. Map Comparison Methods that Simultaneously Address Overlap and Structure. Journal of Geographical Systems, v. 8, p.165–185, 2006.
HAGEN-ZANKER, A. et al. Measuring Performance of Land Use Models. In: European Colloquium on Theoretical and Quantitative Geography, 14., Tomar, Portugal, 2005. Proceedings... Tomar, Portugal, 2005. 11 p.
HAGOORT, M. J. The Neighbourhood Rules: land-use interactions, urban dynamics and cellular automata modelling. Utrecht, Netherlands: Faculteit Geowetenschappen Universiteit Utrecht, 2006.
HARDMAN, A.; IOANNIDES, Y. M. Neighbors' Income Distribution: economic segregation and mixing in US urban neighborhoods. Journal of Housing Economics, v. 13, p. 368-82, 2003.
HOLLAND, J. Complex Adaptive Systems. Daedalus, v. 121, n. 1, p.17-30, 1992.
HUBACEK, K.; BERGH, J. C. J. M. Changing Concepts of 'Land' in Economic Theory: from single to multi-disciplinary approaches. Ecological Economics, v. 56, p.5-27, 2006.
INSTITUTO BRASILEIRO DE GEOGRAFIA E ESTATÍSTICA. Censo Demográfico 1991: agregado por setores censitários dos resultados do universo. Brasília, Brazil: Ministério do Planejamento/Instituto Brasileiro de Geografia e Estatística (IBGE), 1991.
INSTITUTO BRASILEIRO DE GEOGRAFIA E ESTATÍSTICA. Censo Demográfico 2000: agregado por setores censitários dos resultados do universo. Brasília, Brazil: Instituto Brasileiro de Geografia e Estatística (IBGE), 2003.
LILLESAND, T. M. et al. Remote Sensing and Image Interpretation New York: Wiley, 2004.
LUCAS, R.; ROSSI-HANSBERG, E. On the Internal Structure of Cities. Econometrica, v. 70, n. 4, p. 1445-176, jul. 2002.
MCGARIGAL, K. et al. FRAGSTATS: spatial pattern analysis program for categorical maps [Software]. Amherst, MA: University of Massachusetts, 2002.
MENDONÇA, J. G. Segregação e Mobilidade Residencial na RMBH Rio de Janeiro, Brazil: UFRJ, 2002.
MENG, G. et al. Multi-Group Segregation Indices for Measuring Ordinal Classes. Computers, Environment and Urban Systems, v. 30, n. 3, p. 275-299, 2006.
MONTE-MÓR, R. L. Belo Horizonte: espaços e tempos em construção. Belo Horizonte: CEDEPLAR/PBH, 1994.
PINHEIRO, F. J. Desenvolvimento Humano na Região Metropolitana de Belo Horizonte: atlas metropolitano. Belo Horizonte: Centro de Estudos Econômicos e Sociais, Fundação João Pinheiro, 2006.
PLAMBEL. O Mercado da Terra na Região Metropolitana de Belo Horizonte Belo Horizonte: Plambel, 1987.
PONTIUS, R. et al. Comparing the Input, Output, and Validation Maps for Several Models of Land Change. The Annals of Regional Science, v. 42, n. 1, p. 11-37, 2008.
PORTUGALI, J. Self-Organization and the City Berlin: Springer-Verlag, 2000.
RIKS. Map Comparison Kit 3: user manual. Maastricht, Netherlands: RIKS BV, 2006.
SANTIAGO, R. Obsolescência Programada no Mercado Imobiliário: o espaço como forma de entesouramento. Belo Horizonte, Brazil: Escola de Arquitetura/UFMG, 2006.
SCHELLING, T. C. Micromotives and Macrobehavior New York, London: W W Norton & Co Ltd, 1978.
SILVA, E. A.; CLARKE, K. C. Calibration of the SLEUTH Urban Growth Model for Lisbon and Porto, Portugal. Computers, Environment and Urban Systems, v. 26, p.525-252, 2002.
SIMÕES, R. F. Localização Industrial e Relações Intersetoriais: uma análise de fuzzy cluster para Minas Gerais. Campinas, Brazil: Instituto de Economia/Unicamp, 2003.
SIMÕES, R. F. Localização Industrial e Relações Intersetoriais: uma análise de fuzzy cluster para Minas Gerais. Campinas: Instituto de Economia/Unicamp, 2003.
SIMÕES, R. F. Métodos de Análise Regional e Urbana: diagnóstico aplicado ao planejamento. Belo Horizonte, Brazil: CEDEPLAR/UFMG, 2005.
SOJA, E. W. Postmetropolis: critical studies of cities and regions. Malden, MA: Blackwell Publishers, 2000.
THÜNEN, J. H. Der isolierte Staat New York: Pergamon Press, 1966.
VISSER, H.; NIJS, T. The Map Comparison Kit. Environmental Modeling & Software, v. 21, n. 3, p. 346-358, 2006.
WADDELL, P.; ULFARSSON, G. F. Dynamic Simulation of Real Estate Development and Land Prices Within an Integrated Land Use and Transportation Model System. In: TRANSPORTATION RESEARCH BOARD ANNUAL MEETING, 82., Washington, D.C., 2003. Proceedings..., Washington, D. C., 2003.
WADDELL, P. et al. Incorporating Land Use in Metropolitan Transportation Planning. Transportation Research, v. 41, p.382-410, 2007.
WHITE, R.; ENGELEN, G. Cellular Automata and Fractal Urban Form: a cellular modelling approach to the evolution of urban land-use patterns. Environment and Planning A, v. 25, n., p. 1175-1199, 1993.

Publication Dates

Publication in this collection
20 Jan 2012
Date of issue
Dec 2011

History

Received
18 Mar 2011
Accepted
26 Nov 2011

This work is licensed under a Creative Commons Attribution 4.0 International License.

[1] ALLEN, P. M. Cities and Regions as Self-Organizing Systems: models of complexity. Amsterdam, Netherlands: Taylor & Francis, 1997.

[2] ALONSO, W. Location and Land Use: toward a general theory of land rent. Cambridge, MA: Harvard University Press, 1964.

[3] ARTHUR, B. Inductive Reasoning and Bounded Rationality. The American Economic Review, v. 84, n. 2, p. 406-411, 1994.

[4] BATTY, M. Agents, Cells and Cities; new representational models for simulating multiscale urban dynamics. Environment and Planning A, v. 37, n. 8, p. 1373-1394, 2005a.

[5] BATTY, M. Urban Evolution on the Desktop: simulation with the use of extended cellular automata. Environment and Planning A, v. 30, n. 11, p. 1943-1967, 1998.

[6] BATTY, M. Cities and Complexity: understanding cities with cellular automata, agent-based models and fractals. Cambridge, MA: The MIT Press, 2005b.

[7] BATTY, M.; LONGLEY, P. Fractal Cities: a geometry of form and function: Academic Press, 1994.

[8] BENENSON, I.; TORRENS, P. M. Geosimulation: automata-based modeling of urban phenomena. London: John Wiley, 2004.

[9] BENENSON, I. et al. Geographic Automata Systems and the OBEUS Software For Their Implementation. In: PORTUGALI, J. Complex Artificial Environments Amsterdam, Netherlands: Springer Berlin Heidelberg, 2006. p. 137-153.

[10] BERLEKAMP, E. R. et al. Winning Ways for Your Mathematical Plays Wellesley, MA: A K Peters Ltd., 2004.

[11] BOURASSA, S. C. et al. Defining Housing Submarkets. Journal of Housing Economics, v. 8, n. 2, p.160-83, 1999.

[12] BROWN, D. G. et al. Path Dependence and the Validation of Agent-Based Spatial Models of Land Use. International Journal of Geographical Information System, v. 19, n. 2, p.153-174, 2005.

[13] CAPELLO, R.; NIJKAMP, P. (Eds.). Urban Dynamics and Growth: advances in urban economics. Amsterdam: Elsevier, 2004.

[14] CLARKE, K. C. et al A Self-Modifying Cellular Automaton Model of Historical Urbanization in the San Francisco Bay area. Environment and Planning B: Planning and Design v. 24, n. 2, p. 247–261, 1997.

[15] COSTA, H. et al. Novas Periferias Metropolitanas: a expansão metropolitana em Belo Horizonte. Belo Horizonte, Brazil: C/Arte, 2006.

[16] ENGELEN, G. et al. Report 2550016006/2005 Environmental Planning Agency Bilthoven, The Netherlands, 2005

[17] ESRI. ArcMAP Desktop Help [Software]. Redlands, CA: ESRI Press, 2006.

[18] FERNANDEZ, L. et al. Characterizing Location Preferences in an Exurban Population: implications for agent-based modeling. Environment and Planning B, v. 32, n. 6, p.799-820, 2005.

[19] GARDNER, M. Mathematical Games: the fantastic combinations of John Conway's new solitaire game 'Life'. Scientific American, v. 223, n. 4, p.120-123, 1970.

[20] HAGEN-ZANKER, A. Map Comparison Methods that Simultaneously Address Overlap and Structure. Journal of Geographical Systems, v. 8, p.165–185, 2006.

[21] HAGEN-ZANKER, A. et al. Measuring Performance of Land Use Models. In: European Colloquium on Theoretical and Quantitative Geography, 14., Tomar, Portugal, 2005. Proceedings... Tomar, Portugal, 2005. 11 p.

[22] HAGOORT, M. J. The Neighbourhood Rules: land-use interactions, urban dynamics and cellular automata modelling. Utrecht, Netherlands: Faculteit Geowetenschappen Universiteit Utrecht, 2006.

[23] HARDMAN, A.; IOANNIDES, Y. M. Neighbors' Income Distribution: economic segregation and mixing in US urban neighborhoods. Journal of Housing Economics, v. 13, p. 368-82, 2003.

[24] HOLLAND, J. Complex Adaptive Systems. Daedalus, v. 121, n. 1, p.17-30, 1992.

[25] HUBACEK, K.; BERGH, J. C. J. M. Changing Concepts of 'Land' in Economic Theory: from single to multi-disciplinary approaches. Ecological Economics, v. 56, p.5-27, 2006.

[26] INSTITUTO BRASILEIRO DE GEOGRAFIA E ESTATÍSTICA. Censo Demográfico 1991: agregado por setores censitários dos resultados do universo. Brasília, Brazil: Ministério do Planejamento/Instituto Brasileiro de Geografia e Estatística (IBGE), 1991.

[27] INSTITUTO BRASILEIRO DE GEOGRAFIA E ESTATÍSTICA. Censo Demográfico 2000: agregado por setores censitários dos resultados do universo. Brasília, Brazil: Instituto Brasileiro de Geografia e Estatística (IBGE), 2003.

[28] LILLESAND, T. M. et al. Remote Sensing and Image Interpretation New York: Wiley, 2004.

[29] LUCAS, R.; ROSSI-HANSBERG, E. On the Internal Structure of Cities. Econometrica, v. 70, n. 4, p. 1445-176, jul. 2002.

[30] MCGARIGAL, K. et al. FRAGSTATS: spatial pattern analysis program for categorical maps [Software]. Amherst, MA: University of Massachusetts, 2002.

[31] MENDONÇA, J. G. Segregação e Mobilidade Residencial na RMBH Rio de Janeiro, Brazil: UFRJ, 2002.

[32] MENG, G. et al. Multi-Group Segregation Indices for Measuring Ordinal Classes. Computers, Environment and Urban Systems, v. 30, n. 3, p. 275-299, 2006.

[33] MONTE-MÓR, R. L. Belo Horizonte: espaços e tempos em construção. Belo Horizonte: CEDEPLAR/PBH, 1994.

[34] PINHEIRO, F. J. Desenvolvimento Humano na Região Metropolitana de Belo Horizonte: atlas metropolitano. Belo Horizonte: Centro de Estudos Econômicos e Sociais, Fundação João Pinheiro, 2006.

[35] PLAMBEL. O Mercado da Terra na Região Metropolitana de Belo Horizonte Belo Horizonte: Plambel, 1987.

[36] PONTIUS, R. et al. Comparing the Input, Output, and Validation Maps for Several Models of Land Change. The Annals of Regional Science, v. 42, n. 1, p. 11-37, 2008.

[37] PORTUGALI, J. Self-Organization and the City Berlin: Springer-Verlag, 2000.

[38] RIKS. Map Comparison Kit 3: user manual. Maastricht, Netherlands: RIKS BV, 2006.

[39] SANTIAGO, R. Obsolescência Programada no Mercado Imobiliário: o espaço como forma de entesouramento. Belo Horizonte, Brazil: Escola de Arquitetura/UFMG, 2006.

[40] SCHELLING, T. C. Micromotives and Macrobehavior New York, London: W W Norton & Co Ltd, 1978.

[41] SILVA, E. A.; CLARKE, K. C. Calibration of the SLEUTH Urban Growth Model for Lisbon and Porto, Portugal. Computers, Environment and Urban Systems, v. 26, p.525-252, 2002.

[42] SIMÕES, R. F. Localização Industrial e Relações Intersetoriais: uma análise de fuzzy cluster para Minas Gerais. Campinas, Brazil: Instituto de Economia/Unicamp, 2003.

[43] SIMÕES, R. F. Localização Industrial e Relações Intersetoriais: uma análise de fuzzy cluster para Minas Gerais. Campinas: Instituto de Economia/Unicamp, 2003.

[44] SIMÕES, R. F. Métodos de Análise Regional e Urbana: diagnóstico aplicado ao planejamento. Belo Horizonte, Brazil: CEDEPLAR/UFMG, 2005.

[45] SOJA, E. W. Postmetropolis: critical studies of cities and regions. Malden, MA: Blackwell Publishers, 2000.

[46] THÜNEN, J. H. Der isolierte Staat New York: Pergamon Press, 1966.

[47] VISSER, H.; NIJS, T. The Map Comparison Kit. Environmental Modeling & Software, v. 21, n. 3, p. 346-358, 2006.

[48] WADDELL, P.; ULFARSSON, G. F. Dynamic Simulation of Real Estate Development and Land Prices Within an Integrated Land Use and Transportation Model System. In: TRANSPORTATION RESEARCH BOARD ANNUAL MEETING, 82., Washington, D.C., 2003. Proceedings..., Washington, D. C., 2003.

[49] WADDELL, P. et al. Incorporating Land Use in Metropolitan Transportation Planning. Transportation Research, v. 41, p.382-410, 2007.

[50] WHITE, R.; ENGELEN, G. Cellular Automata and Fractal Urban Form: a cellular modelling approach to the evolution of urban land-use patterns. Environment and Planning A, v. 25, n., p. 1175-1199, 1993.

Brasil

Brasil

Land use interpretation for cellular automata models with socioeconomic heterogeneity

Interpretação do uso do solo para modelos de autômatos celulares com heterogeneidade socioeconômica

Abstracts

Publication Dates

History