IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v363y2006i2p551-557.html
   My bibliography  Save this article

Random walk, cluster growth, and the morphology of urban conglomerations

Author

Listed:
  • Ciamarra, M. Pica
  • Coniglio, A.

Abstract

We propose a new model of cluster growth according to which the probability that a new unit is placed in a point at a distance r from the city center is a Gaussian with mean equal to the cluster radius and variance proportional to the mean, modulated by the local density ρ(r). The model is analytically solvable in d=2 dimensions, where the density profile varies as a complementary error function. The model reproduces experimental observations relative to the morphology of cities, determined via an original analysis of digital maps with a very high spatial resolution, and helps understanding the emergence of vehicular traffic.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:363:y:2006:i:2:p:551-557
    DOI: 10.1016/j.physa.2005.08.049
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437105008344
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/j.physa.2005.08.049?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. 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.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    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. 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.
    3. 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.
    4. 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.
    5. Claes Andersson & Steen Rasmussen & Roger White, 2002. "Urban Settlement Transitions," Environment and Planning B, , vol. 29(6), pages 841-865, December.
    6. 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).

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:phsmap:v:363:y:2006:i:2:p:551-557. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.