IDEAS home Printed from https://ideas.repec.org/p/fda/fdaddt/2010-30.html
   My bibliography  Save this paper

Random–Walk–Based Segregation Measures

Author

Listed:
  • Marc Vorsatz
  • Pablo Coralio Ballester

Abstract

In this paper, we propose an intuitive way of how to measure residential segregation. Individuals are located in different nodes on a network that are interconnected through links. Each period, an individual either advances to an adjacent node or she stops moving. In this setting, the segregation index is then defined as the probability that a randomly chosen individual meets an individual of the same social group in the neighborhood where her random-walk terminates. It is shown in a dual theorem that the segregation index is as a natural generalization of the isolation index to networks and that it is proportional to the PageRank index applied by Google in order to determine the importance of web-pages. Finally, the segregation index is applied to the Spanish 2009 census tract data and compared with other prominent measures.

Suggested Citation

  • Marc Vorsatz & Pablo Coralio Ballester, 2010. "Random–Walk–Based Segregation Measures," Working Papers 2010-30, FEDEA.
    • Handle: RePEc:fda:fdaddt:2010-30
    as

    Download full text from publisher

    File URL: https://documentos.fedea.net/pubs/dt/2010/dt-2010-30.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. George J. Borjas, 2021. "Ethnicity, Neighborhoods, and Human-Capital Externalities," World Scientific Book Chapters, in: Foundational Essays in Immigration Economics, chapter 7, pages 135-160, World Scientific Publishing Co. Pte. Ltd..
    2. Federico Echenique & Roland G. Fryer, 2007. "A Measure of Segregation Based on Social Interactions," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 122(2), pages 441-485.
    3. David M. Cutler & Edward L. Glaeser, 1997. "Are Ghettos Good or Bad?," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 112(3), pages 827-872.
    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. Sandro Sousa & Vincenzo Nicosia, 2022. "Quantifying ethnic segregation in cities through random walks," Nature Communications, Nature, vol. 13(1), pages 1-12, December.
    2. Casilda Vega & Oscar Volij, 2014. "Segregation, informativeness and Lorenz dominance," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 43(3), pages 547-564, October.
    3. Oscar Volij, 2018. "Segregation: theoretical approaches," Chapters, in: Conchita D’Ambrosio (ed.), Handbook of Research on Economic and Social Well-Being, chapter 21, pages 480-503, Edward Elgar Publishing.
    4. Matthew Gentzkow & Jesse M. Shapiro & Matt Taddy, 2019. "Measuring Group Differences in High‐Dimensional Choices: Method and Application to Congressional Speech," Econometrica, Econometric Society, vol. 87(4), pages 1307-1340, July.
    5. Mariano Bosch & M. Carnero & Lídia Farré, 2015. "Rental housing discrimination and the persistence of ethnic enclaves," SERIEs: Journal of the Spanish Economic Association, Springer;Spanish Economic Association, vol. 6(2), pages 129-152, June.
    6. Michael D. König & Dominic Rohner & Mathias Thoenig & Fabrizio Zilibotti, 2017. "Networks in Conflict: Theory and Evidence From the Great War of Africa," Econometrica, Econometric Society, vol. 85, pages 1093-1132, July.
    7. Abhimanyu Khan & Ronald Peeters & Frank Thuijsman & Philippe Uyttendaele, 2016. "Network Characteristics Enabling Efficient Coordination: A Simulation Study," Dynamic Games and Applications, Springer, vol. 6(4), pages 495-519, December.
    8. Gordon Anderson & Oliver Linton & Jasmin Thomas, 2017. "Similarity, dissimilarity and exceptionality: generalizing Gini’s transvariation to measure “differentness” in many distributions," METRON, Springer;Sapienza Università di Roma, vol. 75(2), pages 161-180, August.
    9. Fernández-Huertas Moraga, Jesús & Ferrer-i-Carbonell, Ada & Saiz, Albert, 2019. "Immigrant locations and native residential preferences: Emerging ghettos or new communities?," Journal of Urban Economics, Elsevier, vol. 112(C), pages 133-151.
    10. Sergio Currarini, & Elena Fumagalli & Fabrizio Panebianco, 2012. "Games on Networks: Direct Complements and Indirect Substitutes," Discussion Papers in Economics 13/04, Division of Economics, School of Business, University of Leicester.
    11. Hannu Salonen, 2016. "Equilibria and centrality in link formation games," International Journal of Game Theory, Springer;Game Theory Society, vol. 45(4), pages 1133-1151, November.
    12. Gordon Anderson, 2018. "Measuring Aspects of Mobility, Polarization and Convergence in the Absence of Cardinality: Indices Based Upon Transitional Typology," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 139(3), pages 887-907, October.
    13. Herings, P. Jean-Jacques & Peeters, Ronald & Tenev, Anastas P. & Thuijsman, Frank, 2021. "Naïve imitation and partial cooperation in a local public goods model," Journal of Economic Behavior & Organization, Elsevier, vol. 191(C), pages 162-185.
    14. José M. Casado-Díaz & Raquel Simón-Albert & Hipólito Simón, 2022. "Reassessing the commuting penalty for immigrants: new evidence from Spain," Transportation, Springer, vol. 49(4), pages 1099-1132, August.
    15. Gauvin, Laetitia & Vignes, Annick & Nadal, Jean-Pierre, 2013. "Modeling urban housing market dynamics: Can the socio-spatial segregation preserve some social diversity?," Journal of Economic Dynamics and Control, Elsevier, vol. 37(7), pages 1300-1321.

    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. Florent Dubois & Christophe Muller, 2017. "Decomposing Well-being Measures in South Africa: The Contribution of Residential Segregation to Income Distribution," AMSE Working Papers 1719, Aix-Marseille School of Economics, France.
    2. Roland G. Fryer, Jr, 2010. "The Importance of Segregation, Discrimination, Peer Dynamics, and Identity in Explaining Trends in the Racial Achievement Gap," NBER Working Papers 16257, National Bureau of Economic Research, Inc.
    3. Cutler, David M. & Glaeser, Edward L. & Vigdor, Jacob L., 2008. "When are ghettos bad? Lessons from immigrant segregation in the United States," Journal of Urban Economics, Elsevier, vol. 63(3), pages 759-774, May.
    4. de Almeida Lopes Fernandes, Gustavo Andrey, 2017. "Is the Brazilian Tale of Peaceful Racial Coexistence True? Some Evidence from School Segregation and the Huge Racial Gap in the Largest Brazilian City," World Development, Elsevier, vol. 98(C), pages 179-194.
    5. Gregory Fairchild, 2009. "Racial segregation in the public schools and adult labor market outcomes: the case of black Americans," Small Business Economics, Springer, vol. 33(4), pages 467-484, December.
    6. Logan, Trevon D. & Parman, John M., 2017. "The National Rise in Residential Segregation," The Journal of Economic History, Cambridge University Press, vol. 77(1), pages 127-170, March.
    7. de Graaff, Thomas & Nijkamp, Peter, 2010. "Socio-economic impacts of migrant clustering on Dutch neighbourhoods: In search of optimal migrant diversity," Socio-Economic Planning Sciences, Elsevier, vol. 44(4), pages 231-239, December.
    8. Jacobson, Jerry Owen & Robinson, Paul & Bluthenthal, Ricky N., 2007. "A multilevel decomposition approach to estimate the role of program location and neighborhood disadvantage in racial disparities in alcohol treatment completion," Social Science & Medicine, Elsevier, vol. 64(2), pages 462-476, January.
    9. Tugce, Cuhadaroglu, 2013. "My Group Beats Your Group: Evaluating Non-Income Inequalities," SIRE Discussion Papers 2013-49, Scottish Institute for Research in Economics (SIRE).
    10. Matthias Doepke & Giuseppe Sorrenti & Fabrizio Zilibotti, 2019. "The Economics of Parenting," Annual Review of Economics, Annual Reviews, vol. 11(1), pages 55-84, August.
    11. Bøg, Martin, 2007. "Is Segregation Robust?," MPRA Paper 8774, University Library of Munich, Germany.
    12. Lévêque, Christophe & Saleh, Mohamed, 2018. "Does industrialization affect segregation? Evidence from nineteenth-century Cairo," Explorations in Economic History, Elsevier, vol. 67(C), pages 40-61.
    13. Anna Piil Damm, 2009. "Ethnic Enclaves and Immigrant Labor Market Outcomes: Quasi-Experimental Evidence," Journal of Labor Economics, University of Chicago Press, vol. 27(2), pages 281-314, April.
    14. Olof Åslund & Per-Anders Edin & Peter Fredriksson & Hans Grönqvist, 2011. "Peers, Neighborhoods, and Immigrant Student Achievement: Evidence from a Placement Policy," American Economic Journal: Applied Economics, American Economic Association, vol. 3(2), pages 67-95, April.
    15. Jere R. Behrman & Alejandro Gaviria & Miguel Székely, 2002. "Social Exclusion in Latin America: Introduction and Overview," Research Department Publications 3141, Inter-American Development Bank, Research Department.
    16. Borjas, George J., 1998. "To Ghetto or Not to Ghetto: Ethnicity and Residential Segregation," Journal of Urban Economics, Elsevier, vol. 44(2), pages 228-253, September.
    17. Anna Damm & Michael Rosholm, 2010. "Employment effects of spatial dispersal of refugees," Review of Economics of the Household, Springer, vol. 8(1), pages 105-146, March.
    18. Teresa Casey & Christian Dustmann, 2008. "Intergenerational Transmission of Language Capital and Economic Outcomes," Journal of Human Resources, University of Wisconsin Press, vol. 43(3), pages 4660-4687.
    19. Fairchild, Gregory B., 2008. "Residential segregation influences on the likelihood of black and white self-employment," Journal of Business Venturing, Elsevier, vol. 23(1), pages 46-74, January.
    20. Federico Echenique & Roland G. Fryer Jr., 2005. "On the Measurement of Segregation," Labor and Demography 0503006, University Library of Munich, Germany.

    More about this item

    JEL classification:

    • C0 - Mathematical and Quantitative Methods - - General
    • D85 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Network Formation
    • Z13 - Other Special Topics - - Cultural Economics - - - Economic Sociology; Economic Anthropology; Language; Social and Economic Stratification

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    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:fda:fdaddt:2010-30. 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: Carmen Arias (email available below). General contact details of provider: https://www.fedea.net .

    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.