IDEAS home Printed from https://ideas.repec.org/p/wpa/wuwpur/0404008.html
   My bibliography  Save this paper

Sigma-convergence in the presence of spatial effects

Author

Listed:
  • Sergio J. Rey

    (San Diego State University)

  • Boris Dev

    (San Diego State University)

Abstract

This paper explores the implications that spatial effects can hold for the application of measures of sigma-convergence. The bias of a common indicator of convergence is examined for a family of spatial process models including: [a] spatial lag, [b] spatial error, and [c] spatial moving average. We show that the measure of sigma-convergence is sensitive to a number of distinct influences including global dispersion, spatial dependence and a variety of forms of spatial heterogeneity. We suggest a decomposition of the convergence indicator into two components: one reflecting global dispersion and one reflecting the influence of spatial effects. We then illustrate this approach with a case study of the U.S. states over the 1929-2000 period.

Suggested Citation

  • Sergio J. Rey & Boris Dev, 2004. "Sigma-convergence in the presence of spatial effects," Urban/Regional 0404008, University Library of Munich, Germany, revised 22 Apr 2004.
    • Handle: RePEc:wpa:wuwpur:0404008
    Note: Type of Document - ps; pages: 21
    as

    Download full text from publisher

    File URL: https://econwpa.ub.uni-muenchen.de/econ-wp/urb/papers/0404/0404008.ps.gz
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Jones, Charles I, 1997. "Convergence Revisited," Journal of Economic Growth, Springer, vol. 2(2), pages 131-153, July.
    2. Bernard, Andrew B & Jones, Charles I, 1996. "Productivity across Industries and Countries: Time Series Theory and Evidence," The Review of Economics and Statistics, MIT Press, vol. 78(1), pages 135-146, February.
    3. Sala-i-Martin, Xavier X, 1996. "The Classical Approach to Convergence Analysis," Economic Journal, Royal Economic Society, vol. 106(437), pages 1019-1036, July.
    4. Carlino, Gerald & Mills, Leonard, 1996. "Are U.S. regional incomes converging? Reply," Journal of Monetary Economics, Elsevier, vol. 38(3), pages 599-601, December.
    5. Florax, Raymond J. G. M. & Folmer, Hendrik & Rey, Sergio J., 2003. "Specification searches in spatial econometrics: the relevance of Hendry's methodology," Regional Science and Urban Economics, Elsevier, vol. 33(5), pages 557-579, September.
    6. Bernard, Andrew B. & Durlauf, Steven N., 1996. "Interpreting tests of the convergence hypothesis," Journal of Econometrics, Elsevier, vol. 71(1-2), pages 161-173.
    7. Galor, Oded, 1996. "Convergence? Inferences from Theoretical Models," Economic Journal, Royal Economic Society, vol. 106(437), pages 1056-1069, July.
    8. Kevin Lee & M. Hashem Pesaran & Ron Smith, 1998. "Growth Empirics: A Panel Data Approach—A Comment," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 113(1), pages 319-323.
    9. Cletus C. Coughlin & Thomas B. Mandelbaum, 1988. "Why have state per capita incomes diverged recently?," Review, Federal Reserve Bank of St. Louis, issue Sep, pages 24-36.
    10. LE GALLO, Julie & ERTUR, Cem, 2000. "Exploratory spatial data analysis of the distribution of regional per capita GDP in Europe, 1980-1995," LATEC - Document de travail - Economie (1991-2003) 2000-09, LATEC, Laboratoire d'Analyse et des Techniques EConomiques, CNRS UMR 5118, Université de Bourgogne.
    11. Raymond J.G.M. Florax & Henri L.F. de Groot & Reinout Heijungs, 2002. "The Empirical Economic Growth Literature," Tinbergen Institute Discussion Papers 02-040/3, Tinbergen Institute, revised 31 Oct 2003.
    12. Durlauf, Steven N. & Quah, Danny T., 1999. "The new empirics of economic growth," Handbook of Macroeconomics, in: J. B. Taylor & M. Woodford (ed.), Handbook of Macroeconomics, edition 1, volume 1, chapter 4, pages 235-308, Elsevier.
    13. de la Fuente, Angel, 1997. "The empirics of growth and convergence: A selective review," Journal of Economic Dynamics and Control, Elsevier, vol. 21(1), pages 23-73, January.
    14. Sergio J. Rey & Mark V. Janikas, 2003. "Convergence and space," Urban/Regional 0311002, University Library of Munich, Germany, revised 16 Nov 2003.
    15. Sala-i-Martin, Xavier, 1997. "I Just Ran Two Million Regressions," American Economic Review, American Economic Association, vol. 87(2), pages 178-183, May.
    16. Sergio Rey & Brett Montouri, 1999. "US Regional Income Convergence: A Spatial Econometric Perspective," Regional Studies, Taylor & Francis Journals, vol. 33(2), pages 143-156.
    17. Carlos R. Azzoni, 2001. "Economic growth and regional income inequality in Brazil," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 35(1), pages 133-152.
    18. Quah, D., 1990. "Galton'S Fallacy And The Tests Of The Convergence Hypothesis," Working papers 552, Massachusetts Institute of Technology (MIT), Department of Economics.
    19. Esteban, J., 2000. "Regional convergence in Europe and the industry mix: a shift-share analysis," Regional Science and Urban Economics, Elsevier, vol. 30(3), pages 353-364, May.
    20. Efthymios Tsionas, 2000. "Real convergence in Europe. How robust are econometric inferences?," Applied Economics, Taylor & Francis Journals, vol. 32(11), pages 1475-1482.
    21. Attfield, C. L. F. & Cannon, Edmund S. & Demery, D. & Duck, Nigel W., 2000. "Economic growth and geographic proximity," Economics Letters, Elsevier, vol. 68(1), pages 109-112, July.
    22. Jonathan Temple, 1999. "The New Growth Evidence," Journal of Economic Literature, American Economic Association, vol. 37(1), pages 112-156, March.
    23. Bernard, Andrew B & Jones, Charles I, 1996. "Comparing Apples to Oranges: Productivity Convergence and Measurement across Industries and Countries," American Economic Review, American Economic Association, vol. 86(5), pages 1216-1238, December.
    24. Evans, Paul & Karras, Georgios, 1996. "Do Economies Converge? Evidence from a Panel of U.S. States," The Review of Economics and Statistics, MIT Press, vol. 78(3), pages 384-388, August.
    25. Nazrul Islam, 1995. "Growth Empirics: A Panel Data Approach," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 110(4), pages 1127-1170.
    26. repec:bla:scandj:v:95:y:1993:i:4:p:427-43 is not listed on IDEAS
    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. ALVARO ANGERIZ & JOHN McCOMBIE & MARK ROBERTS, 2006. "Productivity, Efficiency And Technological Change In European Union Regional Manufacturing: A Data Envelopment Analysis Approach," Manchester School, University of Manchester, vol. 74(4), pages 500-525, July.
    2. Pfaffermayr, Michael, 2009. "Conditional [beta]- and [sigma]-convergence in space: A maximum likelihood approach," Regional Science and Urban Economics, Elsevier, vol. 39(1), pages 63-78, January.
    3. García Callejas, Danny, 2011. "Per Capita GDP Convergence in South America, 1960-2007," Borradores Departamento de Economía 8983, Universidad de Antioquia, CIE.
    4. Julie Le Gallo & Sandy Dall'erba, 2008. "Spatial and sectoral productivity convergence between European regions, 1975–2000," Papers in Regional Science, Wiley Blackwell, vol. 87(4), pages 505-525, November.
    5. Sergio J. Rey & Mark V. Janikas, 2004. "STARS: Space-Time Analysis of Regional Systems," Urban/Regional 0406001, University Library of Munich, Germany.

    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. Sergio J. Rey & Mark V. Janikas, 2003. "Convergence and space," Urban/Regional 0311002, University Library of Munich, Germany, revised 16 Nov 2003.
    2. Sergio J. Rey & Mark V. Janikas, 2005. "Regional convergence, inequality, and space," Journal of Economic Geography, Oxford University Press, vol. 5(2), pages 155-176, April.
    3. Julie Le Gallo & Sandy Dall'erba, 2008. "Spatial and sectoral productivity convergence between European regions, 1975–2000," Papers in Regional Science, Wiley Blackwell, vol. 87(4), pages 505-525, November.
    4. Cem Ertur & Julie Le Gallo & Catherine Baumont, 2006. "The European Regional Convergence Process, 1980-1995: Do Spatial Regimes and Spatial Dependence Matter?," International Regional Science Review, , vol. 29(1), pages 3-34, January.
    5. Stephen Dobson & Carlyn Ramlogan & Eric Strobl, 2006. "Why Do Rates Of Β‐Convergence Differ? A Meta‐Regression Analysis," Scottish Journal of Political Economy, Scottish Economic Society, vol. 53(2), pages 153-173, May.
    6. Markus Eberhardt & Francis Teal, 2011. "Econometrics For Grumblers: A New Look At The Literature On Cross‐Country Growth Empirics," Journal of Economic Surveys, Wiley Blackwell, vol. 25(1), pages 109-155, February.
    7. Cem Ertur & Thiaw Kalidou, 2005. "Growth and Spatial Dependence - The Mankiw, Romer and Weil model revisited," ERSA conference papers ersa05p660, European Regional Science Association.
    8. Maria ABREU & Henri L.F. DE GROOT & Raymond J.G.M. FLORAX, 2005. "Space And Growth: A Survey Of Empirical Evidence And Methods," Region et Developpement, Region et Developpement, LEAD, Universite du Sud - Toulon Var, vol. 21, pages 13-44.
    9. Nazrul Islam, 2003. "What have We Learnt from the Convergence Debate?," Journal of Economic Surveys, Wiley Blackwell, vol. 17(3), pages 309-362, July.
    10. Massimiliano Affinito, 2011. "Convergence clubs, the euro-area rank and the relationship between banking and real convergence," Temi di discussione (Economic working papers) 809, Bank of Italy, Economic Research and International Relations Area.
    11. Roberto Leon-Gonzalez & Daniel Montolio, 2004. "Growth, convergence and public investment. A Bayesian model averaging approach," Applied Economics, Taylor & Francis Journals, vol. 36(17), pages 1925-1936.
    12. Arfat Ahmad Sofi & Subash Sasidharan & Mohammad Younus Bhat, 2023. "Economic growth and club convergence: Is there a neighbour's effect?," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 28(3), pages 2475-2494, July.
    13. Peter Mulder & Henri Groot, 2007. "Sectoral Energy- and Labour-Productivity Convergence," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 36(1), pages 85-112, January.
    14. Freeman, Donald G. & Yerger, David B., 2001. "Interpreting cross-section and time-series tests of convergence: the case of labor productivity in manufacturing," Journal of Economics and Business, Elsevier, vol. 53(6), pages 593-607.
    15. Peter C. B. Phillips & Donggyu Sul, 2009. "Economic transition and growth," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 24(7), pages 1153-1185, November.
    16. Daniel J. Henderson, 2010. "A test for multimodality of regression derivatives with application to nonparametric growth regressions," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 25(3), pages 458-480.
    17. Sergio Rey & Brett Montouri, 1999. "US Regional Income Convergence: A Spatial Econometric Perspective," Regional Studies, Taylor & Francis Journals, vol. 33(2), pages 143-156.
    18. Julie Le Gallo & Sandy Dall’erba, 2006. "Evaluating the Temporal and Spatial Heterogeneity of the European Convergence Process, 1980–1999," Journal of Regional Science, Wiley Blackwell, vol. 46(2), pages 269-288, May.
    19. G. Urga & P. A. Geroski & S. Lazarova & C. F. Walters, 2003. "Are differences in firm size transitory or permanent?," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 18(1), pages 47-59.
    20. Magrini, Stefano, 2004. "Regional (di)convergence," Handbook of Regional and Urban Economics, in: J. V. Henderson & J. F. Thisse (ed.), Handbook of Regional and Urban Economics, edition 1, volume 4, chapter 62, pages 2741-2796, Elsevier.

    More about this item

    Keywords

    convergence; spatial dependence; spatial heterogeneity;
    All these keywords.

    JEL classification:

    • R - Urban, Rural, Regional, Real Estate, and Transportation Economics

    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:wpa:wuwpur:0404008. 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: EconWPA (email available below). General contact details of provider: https://econwpa.ub.uni-muenchen.de .

    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.