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Modeling Cities in 3D: A Cellular Automaton Approach

Author

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  • Lucien Benguigui

    (Solid State Institute and Physics Department, Technion – Israel Institute of Technology, 32000 Haifa, Israel)

  • Daniel Czamanski
  • Rafael Roth

Abstract

This paper presents a quasi-3D cellular automaton (CA) simulation model of cities. A 2D CA model includes a cell attribute that represents building height information. Dynamic processes are depicted using four parameters: initial building coverage, interaction with adjacent neighborhood, inertia, and noise. These parameters can assume simple economic interpretation. Some combinations of values of the parameters result in cities that experience paths of convergent growth. Some values lead to cities that experience phase transitions. We suggest a typology of resulting urban patterns and note the emergence of spatial clusters of high-rise buildings.

Suggested Citation

  • Lucien Benguigui & Daniel Czamanski & Rafael Roth, 2008. "Modeling Cities in 3D: A Cellular Automaton Approach," Environment and Planning B, , vol. 35(3), pages 413-430, June.
    • Handle: RePEc:sae:envirb:v:35:y:2008:i:3:p:413-430
    DOI: 10.1068/b33075
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    References listed on IDEAS

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    1. Lucien Benguigui & Daniel Czamanski & Maria Marinov & Yuval Portugali, 2000. "When and Where is a City Fractal?," Environment and Planning B, , vol. 27(4), pages 507-519, August.
    2. Lucien Benguigui & Daniel Czamanski & Maria Marinov, 2001. "City Growth as a Leap-frogging Process: An Application to the Tel-Aviv Metropolis," Urban Studies, Urban Studies Journal Limited, vol. 38(10), pages 1819-1839, September.
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    Cited by:

    1. Yingxue Rao & Jiang Zhou & Min Zhou & Qingsong He & Jiayu Wu, 2020. "Comparisons of three‐dimensional urban forms in different urban expansion types: 58 sample cities in China," Growth and Change, Wiley Blackwell, vol. 51(4), pages 1766-1783, December.
    2. Dani Broitman & Daniel Czamanski, 2015. "Bursts and Avalanches: The Dynamics of Polycentric Urban Evolution," Environment and Planning B, , vol. 42(1), pages 58-75, February.
    3. Daniel Czamanski & Rafael Roth, 2011. "Characteristic time, developers’ behavior and leapfrogging dynamics of high-rise buildings," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 46(1), pages 101-118, February.
    4. Yanyan Xu & Miao Liu & Yuanman Hu & Chunlin Li & Zaiping Xiong, 2019. "Analysis of Three-Dimensional Space Expansion Characteristics in Old Industrial Area Renewal Using GIS and Barista: A Case Study of Tiexi District, Shenyang, China," Sustainability, MDPI, vol. 11(7), pages 1-22, March.
    5. Czamanski, Daniel & Broitman, Dani, 2017. "Information and communication technology and the spatial evolution of mature cities," Socio-Economic Planning Sciences, Elsevier, vol. 58(C), pages 30-38.
    6. Guan, ChengHe, 2019. "Spatial distribution of high-rise buildings and its relationship to public transit development in Shanghai," Transport Policy, Elsevier, vol. 81(C), pages 371-380.
    7. Dani Broitman & Daniel Czamanski, 2012. "Cities in Competition, Characteristic Time, and Leapfrogging Developers," Environment and Planning B, , vol. 39(6), pages 1105-1118, December.
    8. Anasua Chakraborty & Sujit Sikder & Hichem Omrani & Jacques Teller, 2022. "Cellular Automata in Modeling and Predicting Urban Densification: Revisiting the Literature since 1971," Land, MDPI, vol. 11(7), pages 1-19, July.
    9. Yuanyuan Huang & Scott N. Lieske & Yan Liu, 2023. "Factors influencing vertical urban development at the parcel scale: The case in Brisbane, Australia," Environment and Planning B, , vol. 50(3), pages 694-708, March.

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