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A new aggregation model. Application to town growth

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  • Benguigui, L.

Abstract

A variant of the Eden model with noise reduction is presented. A site is occupied if it is visited p times but the neighboring sites are added to the potential sites not after occupancy but immediately after the first visit. It results in aggregates with a very different pattern from that of Eden aggregates. If p is large enough, scaling properties are observed. Possible application to the morphology of large towns is proposed.

Suggested Citation

  • Benguigui, L., 1995. "A new aggregation model. Application to town growth," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 219(1), pages 13-26.
    • Handle: RePEc:eee:phsmap:v:219:y:1995:i:1:p:13-26
    DOI: 10.1016/0378-4371(95)00145-W
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    Cited by:

    1. Carvalho, Rui & Penn, Alan, 2004. "Scaling and universality in the micro-structure of urban space," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 332(C), pages 539-547.
    2. Ikeda, Kiyohiro & Murota, Kazuo & Takayama, Yuki & Kamei, Motohiro, 2016. "Group-theoretic spectrum analysis of hexagonal city distributions in Southern Germany and Eastern USA," MPRA Paper 74567, University Library of Munich, Germany.
    3. Reinhard Koenig & Christian Bauriedel, 2009. "Generating Settlement Structures: A Method for Urban Planning and Analysis Supported by Cellular Automata," Environment and Planning B, , vol. 36(4), pages 602-624, August.
    4. Ciamarra, M. Pica & Coniglio, A., 2006. "Random walk, cluster growth, and the morphology of urban conglomerations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 363(2), pages 551-557.
    5. Lucien Benguigui & Daniel Czamanski & Maria Marinov, 2001. "The Dynamics of Urban Morphology: The Case of Petah Tikvah," Environment and Planning B, , vol. 28(3), pages 447-460, June.
    6. Claes Andersson & Steen Rasmussen & Roger White, 2002. "Urban Settlement Transitions," Environment and Planning B, , vol. 29(6), pages 841-865, December.
    7. Saeedimoghaddam, Mahmoud & Stepinski, T.F., 2021. "Multiplicative random cascade models of multifractal urban structures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 569(C).

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