IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v574y2021ics037843712100282x.html
   My bibliography  Save this article

A Schelling model with a variable threshold in a closed city segregation model. Analysis of the universality classes

Author

Listed:
  • Ortega, Diego
  • Rodríguez-Laguna, Javier
  • Korutcheva, Elka

Abstract

Residential segregation is analyzed via the Schelling model, in which two types of agents attempt to optimize their situation according to certain preferences and tolerance levels. Several variants of this work are focused on urban or social aspects. Whereas these models consider fixed values for wealth or tolerance, here we consider how sudden changes in the tolerance level affect the urban structure in the closed city model. In this framework, when tolerance decreases continuously, the change rate is a key parameter for the final state reached by the system. On the other hand, sudden drops in tolerance tend to group agents into clusters whose boundary can be characterized using tools from kinetic roughening. This frontier can be categorized into the Edwards–Wilkinson (EW) universality class. Likewise, the understanding of these processes and how society adapts to tolerance variations are of the utmost importance in a world where migratory movements and pro-segregational attitudes are commonplace.

Suggested Citation

  • Ortega, Diego & Rodríguez-Laguna, Javier & Korutcheva, Elka, 2021. "A Schelling model with a variable threshold in a closed city segregation model. Analysis of the universality classes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 574(C).
    • Handle: RePEc:eee:phsmap:v:574:y:2021:i:c:s037843712100282x
    DOI: 10.1016/j.physa.2021.126010
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S037843712100282X
    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.2021.126010?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. L. Gauvin & J. Vannimenus & J.-P. Nadal, 2009. "Phase diagram of a Schelling segregation model," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 70(2), pages 293-304, July.
    2. Floriana Gargiulo & Yerali Gandica & Timoteo Carletti, 2017. "Emergent Dense Suburbs In A Schelling Metapopulation Model: A Simulation Approach," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 20(01), pages 1-17, February.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Ortega, Diego & Rodríguez-Laguna, Javier & Korutcheva, Elka, 2022. "Segregation in spatially structured cities," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 608(P1).

    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. Ortega, Diego & Rodríguez-Laguna, Javier & Korutcheva, Elka, 2021. "Avalanches in an extended Schelling model: An explanation of urban gentrification," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 573(C).
    2. Guifeng Su & Yi Zhang, 2023. "Significant suppression of segregation in Schelling’s metapopulation model with star-type underlying topology," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 96(7), pages 1-6, July.
    3. Anand Sahasranaman & Henrik Jeldtoft Jensen, 2018. "Ethnicity and wealth: The dynamics of dual segregation," PLOS ONE, Public Library of Science, vol. 13(10), pages 1-22, October.
    4. Shin, J.K. & Jung, P.S., 2013. "Analysis of phase transition points for a two-color agent-based model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(8), pages 1863-1872.
    5. Pablo Medina & Eric Goles & Roberto Zarama & Sergio Rica, 2017. "Self-Organized Societies: On the Sakoda Model of Social Interactions," Complexity, Hindawi, vol. 2017, pages 1-16, January.
    6. Caridi, Inés & Nemiña, Francisco & Pinasco, Juan P. & Schiaffino, Pablo, 2013. "Schelling-voter model: An application to language competition," Chaos, Solitons & Fractals, Elsevier, vol. 56(C), pages 216-221.
    7. Ribin Lye & James Peng Lung Tan & Siew Ann Cheong, 2012. "Understanding agent-based models of financial markets: a bottom-up approach based on order parameters and phase diagrams," Papers 1202.0606, arXiv.org.
    8. Akihisa Okada & Daisuke Inoue & Shihori Koyama & Tadayoshi Matsumori & Hiroaki Yoshida, 2022. "Dynamical cooperation model for mitigating the segregation phase in Schelling’s model," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 95(10), pages 1-10, October.
    9. Sheng Li & Kuo-Liang Chang & Lanlan Wang, 2020. "Racial residential segregation in multiple neighborhood markets: a dynamic sorting study," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 15(2), pages 363-383, April.
    10. Anand Sahasranaman & Henrik Jeldtoft Jensen, 2017. "Cooperative dynamics of neighborhood economic status in cities," PLOS ONE, Public Library of Science, vol. 12(8), pages 1-15, August.
    11. Amaud Banos, 2012. "Network Effects in Schelling's Model of Segregation: New Evidence from Agent-Based Simulation," Environment and Planning B, , vol. 39(2), pages 393-405, April.
    12. Lye, Ribin & Tan, James Peng Lung & Cheong, Siew Ann, 2012. "Understanding agent-based models of financial markets: A bottom–up approach based on order parameters and phase diagrams," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(22), pages 5521-5531.
    13. Caridi, I. & Pinasco, J.P. & Saintier, N. & Schiaffino, P., 2017. "Characterizing segregation in the Schelling–Voter model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 487(C), pages 125-142.
    14. Radi, Davide & Gardini, Laura, 2015. "Entry limitations and heterogeneous tolerances in a Schelling-like segregation model," Chaos, Solitons & Fractals, Elsevier, vol. 79(C), pages 130-144.
    15. Rocco Paolillo & Jan Lorenz, 2018. "How Different Homophily Preferences Mitigate And Spur Ethnic And Value Segregation: Schelling’S Model Extended," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 21(06n07), pages 1-17, September.
    16. Philippe Collard, 2020. "Second-order micromotives and macrobehaviour," Journal of Computational Social Science, Springer, vol. 3(1), pages 209-229, April.
    17. Anand Sahasranaman & Henrik Jeldtoft Jensen, 2016. "Dynamics of Transformation from Segregation to Mixed Wealth Cities," PLOS ONE, Public Library of Science, vol. 11(11), pages 1-12, November.
    18. Ortega, Diego & Rodríguez-Laguna, Javier & Korutcheva, Elka, 2022. "Segregation in spatially structured cities," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 608(P1).
    19. Clémentine Cottineau, 2022. "Modéliser les inégalités dans l’espace géographique," Post-Print halshs-03801388, HAL.

    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:574:y:2021:i:c:s037843712100282x. 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.