IDEAS home Printed from https://ideas.repec.org/a/spr/anresc/v72y2024i3d10.1007_s00168-023-01226-1.html
   My bibliography  Save this article

Urban growth in the long term: Belgium, 1880–1970

Author

Listed:
  • Rafael González-Val

    (Universidad de Zaragoza
    Institut d’Economia de Barcelona (IEB))

  • Arturo Ramos

    (Universidad de Zaragoza)

  • Samuel Standaert

    (Institute on Comparative Regional Integration Studies, United Nations University
    Ghent University)

Abstract

We take advantage of a new data set on Belgian cities to test random growth, that is, Gibrat’s law. This unique data set provides annual population estimates for all Belgian municipalities (2680 cities) from 1880 to 1970. The use of panel data methodology and unit root tests can provide a precise test of Gibrat’s law (a unit root is equivalent to random growth). We run both time series and panel data unit root tests, thus obtaining strong support for random growth in the long term. Results hold when allowing for the presence of one and two structural breaks in the mean, with the timing of the breaks coinciding with some major historical events, such as the World Wars and the economic crisis of 1929–1933.

Suggested Citation

  • Rafael González-Val & Arturo Ramos & Samuel Standaert, 2024. "Urban growth in the long term: Belgium, 1880–1970," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 72(3), pages 881-902, March.
    • Handle: RePEc:spr:anresc:v:72:y:2024:i:3:d:10.1007_s00168-023-01226-1
    DOI: 10.1007/s00168-023-01226-1
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s00168-023-01226-1
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s00168-023-01226-1?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. Peter C. B. Phillips & Shuping Shi & Jun Yu, 2015. "Testing For Multiple Bubbles: Historical Episodes Of Exuberance And Collapse In The S&P 500," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 56(4), pages 1043-1078, November.
    2. Jan Eeckhout, 2004. "Gibrat's Law for (All) Cities," American Economic Review, American Economic Association, vol. 94(5), pages 1429-1451, December.
    3. Peter C. B. Phillips & Yangru Wu & Jun Yu, 2011. "EXPLOSIVE BEHAVIOR IN THE 1990s NASDAQ: WHEN DID EXUBERANCE ESCALATE ASSET VALUES?," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 52(1), pages 201-226, February.
    4. Gilles Duranton, 2007. "Urban Evolutions: The Fast, the Slow, and the Still," American Economic Review, American Economic Association, vol. 97(1), pages 197-221, March.
    5. Jörg Breitung & Samarjit Das, 2005. "Panel unit root tests under cross‐sectional dependence," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 59(4), pages 414-433, November.
    6. Sharma, Shalini, 2003. "Persistence and stability in city growth," Journal of Urban Economics, Elsevier, vol. 53(2), pages 300-320, March.
    7. Thomas J. Holmes & John J. Stevens, 2002. "Geographic Concentration and Establishment Scale," The Review of Economics and Statistics, MIT Press, vol. 84(4), pages 682-690, November.
    8. M. Hashem Pesaran, 2021. "General diagnostic tests for cross-sectional dependence in panels," Empirical Economics, Springer, vol. 60(1), pages 13-50, January.
    9. Garcia-López, Miquel-Ángel & Holl, Adelheid & Viladecans-Marsal, Elisabet, 2015. "Suburbanization and highways in Spain when the Romans and the Bourbons still shape its cities," Journal of Urban Economics, Elsevier, vol. 85(C), pages 52-67.
    10. Mark D. Partridge & Dan S. Rickman & Kamar Ali & M. Rose Olfert, 2008. "Lost in space: population growth in the American hinterlands and small cities," Journal of Economic Geography, Oxford University Press, vol. 8(6), pages 727-757, November.
    11. Chen, Zhihong & Fu, Shihe & Zhang, Dayong, 2010. "Searching for the parallel growth of cities," MPRA Paper 21528, University Library of Munich, Germany.
    12. Karlsson, Sune & Lothgren, Mickael, 2000. "On the power and interpretation of panel unit root tests," Economics Letters, Elsevier, vol. 66(3), pages 249-255, March.
    13. Frees, Edward W., 1995. "Assessing cross-sectional correlation in panel data," Journal of Econometrics, Elsevier, vol. 69(2), pages 393-414, October.
    14. Perron, Pierre & Vogelsang, Timothy J, 1992. "Nonstationarity and Level Shifts with an Application to Purchasing Power Parity," Journal of Business & Economic Statistics, American Statistical Association, vol. 10(3), pages 301-320, July.
    15. Zhihong Chen & Shihe Fu & Dayong Zhang, 2013. "Searching for the Parallel Growth of Cities in China," Urban Studies, Urban Studies Journal Limited, vol. 50(10), pages 2118-2135, August.
    16. Aurélie Lalanne & Martin Zumpe, 2020. "Time-Series Based Empirical Assessment of Random Urban Growth: New Evidence from France," Journal of Quantitative Economics, Springer;The Indian Econometric Society (TIES), vol. 18(4), pages 911-926, December.
    17. Clemente, Jesus & Montanes, Antonio & Reyes, Marcelo, 1998. "Testing for a unit root in variables with a double change in the mean," Economics Letters, Elsevier, vol. 59(2), pages 175-182, May.
    18. Rafael González-Val & Luis Lanaspa & Fernando Sanz-Gracia, 2014. "New Evidence on Gibrat’s Law for Cities," Urban Studies, Urban Studies Journal Limited, vol. 51(1), pages 93-115, January.
    19. Stijn Ronsse & Samuel Standaert, 2017. "Combining growth and level data: An estimation of the population of Belgian municipalities between 1880 and 1970," Historical Methods: A Journal of Quantitative and Interdisciplinary History, Taylor & Francis Journals, vol. 50(4), pages 218-226, October.
    20. Stijn Ronsse & Samuel Standaert, 2017. "Combining growth and level data: an estimation of the population of Belgian cities between 1880 and 1970," Working Papers of Faculty of Economics and Business Administration, Ghent University, Belgium 17/927, Ghent University, Faculty of Economics and Business Administration.
    21. Marcelo Resende, 2004. "Gibrat's Law and the Growth of Cities in Brazil: A Panel Data Investigation," Urban Studies, Urban Studies Journal Limited, vol. 41(8), pages 1537-1549, July.
    22. repec:wyi:journl:002175 is not listed on IDEAS
    23. Henderson, J. Vernon & Wang, Hyoung Gun, 2007. "Urbanization and city growth: The role of institutions," Regional Science and Urban Economics, Elsevier, vol. 37(3), pages 283-313, May.
    24. Bosker, Maarten & Brakman, Steven & Garretsen, Harry & Schramm, Marc, 2007. "Looking for multiple equilibria when geography matters: German city growth and the WWII shock," Journal of Urban Economics, Elsevier, vol. 61(1), pages 152-169, January.
    25. Anindya Banerjee & Massimiliano Marcellino & Chiara Osbat, 2005. "Testing for PPP: Should we use panel methods?," Empirical Economics, Springer, vol. 30(1), pages 77-91, January.
    26. Rafael González‐Val, 2010. "The Evolution Of U.S. City Size Distribution From A Long‐Term Perspective (1900–2000)," Journal of Regional Science, Wiley Blackwell, vol. 50(5), pages 952-972, December.
    27. Dickey, David A & Fuller, Wayne A, 1981. "Likelihood Ratio Statistics for Autoregressive Time Series with a Unit Root," Econometrica, Econometric Society, vol. 49(4), pages 1057-1072, June.
    28. Hoyt Bleakley & Jeffrey Lin, 2012. "Portage and Path Dependence," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 127(2), pages 587-644.
    29. Duncan Black & Vernon Henderson, 2003. "Urban evolution in the USA," Journal of Economic Geography, Oxford University Press, vol. 3(4), pages 343-372, October.
    30. Perron, Pierre, 1989. "The Great Crash, the Oil Price Shock, and the Unit Root Hypothesis," Econometrica, Econometric Society, vol. 57(6), pages 1361-1401, November.
    31. Peter C. B. Phillips & Shuping Shi & Jun Yu, 2015. "Testing For Multiple Bubbles: Historical Episodes Of Exuberance And Collapse In The S&P 500," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 56, pages 1043-1078, November.
    32. Devadoss, Stephen & Luckstead, Jeff, 2015. "Growth process of U.S. small cities," Economics Letters, Elsevier, vol. 135(C), pages 12-14.
    33. Aurélie Lalanne & Martin Zumpe, 2019. "La croissance des villes canadiennes et australiennes guidée par le hasard? Enjeux et mesure de la croissance urbaine aléatoire," Post-Print hal-02640473, HAL.
    34. Donald R. Davis & David E. Weinstein, 2002. "Bones, Bombs, and Break Points: The Geography of Economic Activity," American Economic Review, American Economic Association, vol. 92(5), pages 1269-1289, December.
    35. Edward L Glaeser & Jesse M Shapiro, 2003. "Urban Growth in the 1990s: Is City Living Back?," Journal of Regional Science, Wiley Blackwell, vol. 43(1), pages 139-165, February.
    36. Michiel van Meeteren & Kobe Boussauw & Ben Derudder & Frank Witlox, 2016. "Flemish Diamond or ABC-Axis? The spatial structure of the Belgian metropolitan area," European Planning Studies, Taylor & Francis Journals, vol. 24(5), pages 974-995, May.
    37. Salvador Barrios & Luisito Bertinelli & Eric Strobl, 2006. "Geographic Concentration And Establishment Scale: An Extension Using Panel Data," Journal of Regional Science, Wiley Blackwell, vol. 46(4), pages 733-746, October.
    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. Rafael González-Val & Luis Lanaspa & Fernando Sanz-Gracia, 2014. "New Evidence on Gibrat’s Law for Cities," Urban Studies, Urban Studies Journal Limited, vol. 51(1), pages 93-115, January.
    2. Ronan Lyons & Elisa Maria Tirindelli, 2022. "The Rise & Fall of Urban Concentration in Britain: Zipf, Gibrat and Gini across two centuries," Trinity Economics Papers tep0522, Trinity College Dublin, Department of Economics.
    3. Rafael Gonz�lez-Val & Luis Lanaspa, 2016. "Patterns in US Urban Growth, 1790-2000," Regional Studies, Taylor & Francis Journals, vol. 50(2), pages 289-309, February.
    4. González-Val, Rafael & Lanaspa, Luis & Sanz, Fernando, 2008. "New Evidence on Gibrat’s Law for Cities," MPRA Paper 10411, University Library of Munich, Germany.
    5. Rafael González-Val & Luis Lanaspa & Fernando Sanz, 2011. "Gibrat's Law for Cities Revisited," ERSA conference papers ersa10p199, European Regional Science Association.
    6. Sánchez-Vidal, María & González-Val, Rafael & Viladecans-Marsal, Elisabet, 2014. "Sequential city growth in the US: Does age matter?," Regional Science and Urban Economics, Elsevier, vol. 44(C), pages 29-37.
    7. Bosker, Maarten & Brakman, Steven & Garretsen, Harry & Schramm, Marc, 2008. "A century of shocks: The evolution of the German city size distribution 1925-1999," Regional Science and Urban Economics, Elsevier, vol. 38(4), pages 330-347, July.
    8. Aurélie Lalanne & Martin Zumpe, 2020. "Time-Series Based Empirical Assessment of Random Urban Growth: New Evidence from France," Journal of Quantitative Economics, Springer;The Indian Econometric Society (TIES), vol. 18(4), pages 911-926, December.
    9. Rafael González‐Val & Javier Silvestre, 2023. "War and city size: The asymmetric effects of the Spanish Civil War," Journal of Regional Science, Wiley Blackwell, vol. 63(4), pages 898-921, September.
    10. Chengri Ding & Zhi Li, 2019. "Size and urban growth of Chinese cities during the era of transformation toward a market economy," Environment and Planning B, , vol. 46(1), pages 27-46, January.
    11. González-Val, Rafael & Lanaspa, Luis & Sanz, Fernando, 2008. "New Evidence on Gibrat’s Law for Cities," MPRA Paper 10411, University Library of Munich, Germany.
    12. Sánchez-Vidal, María & González-Val, Rafael & Viladecans-Marsal, Elisabet, 2014. "Sequential city growth in the US: Does age matter?," Regional Science and Urban Economics, Elsevier, vol. 44(C), pages 29-37.
    13. Aurélie Lalanne & Shana Sundstrom & Ahjond Garmestani, 2023. "Discontinuous structure of regional and subregional urban systems: Nouvelle-Aquitaine, France (1800–2015)," Urban Studies, Urban Studies Journal Limited, vol. 60(5), pages 869-884, April.
    14. Daniel ARRIBAS-BEL & Fernando SANZ GRACIA & Domingo P. XIMENEZ-DE-EMBUN, 2012. "Kangaroos, Cities And Space: A First Approach To The Australian Urban System," Region et Developpement, Region et Developpement, LEAD, Universite du Sud - Toulon Var, vol. 36, pages 165-187.
    15. Kwok Tong Soo, 2014. "Zipf, Gibrat and geography: Evidence from China, India and Brazil," Papers in Regional Science, Wiley Blackwell, vol. 93(1), pages 159-181, March.
    16. Jan David Bakker & Christopher Parsons & Ferdinand Rauch, 2020. "Migration and Urbanization in Post-Apartheid South Africa," The World Bank Economic Review, World Bank, vol. 34(2), pages 509-532.
    17. David Cuberes & Rafael González-Val, 2017. "The effect of the Spanish Reconquest on Iberian cities," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 58(3), pages 375-416, May.
    18. Acikgoz, Senay & Ben Ali, Mohamed Sami, 2019. "Where does economic growth in the Middle Eastern and North African countries come from?," The Quarterly Review of Economics and Finance, Elsevier, vol. 73(C), pages 172-183.
    19. Ramos, Arturo & Sanz-Gracia, Fernando & González-Val, Rafael, 2013. "A new framework for the US city size distribution: Empirical evidence and theory," MPRA Paper 52190, University Library of Munich, Germany.
    20. Stephen J. Redding, 2013. "Economic Geography: A Review of the Theoretical and Empirical Literature," Palgrave Macmillan Books, in: Daniel Bernhofen & Rod Falvey & David Greenaway & Udo Kreickemeier (ed.), Palgrave Handbook of International Trade, chapter 16, pages 497-531, Palgrave Macmillan.

    More about this item

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes
    • N93 - Economic History - - Regional and Urban History - - - Europe: Pre-1913
    • O18 - Economic Development, Innovation, Technological Change, and Growth - - Economic Development - - - Urban, Rural, Regional, and Transportation Analysis; Housing; Infrastructure
    • R11 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General Regional Economics - - - Regional Economic Activity: Growth, Development, Environmental Issues, and Changes
    • R12 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General Regional Economics - - - Size and Spatial Distributions of Regional Economic Activity; Interregional Trade (economic geography)

    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:spr:anresc:v:72:y:2024:i:3:d:10.1007_s00168-023-01226-1. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.