IDEAS home Printed from https://ideas.repec.org/p/ira/wpaper/200805.html
   My bibliography  Save this paper

Panel Data Stochastic Convergence Analysis of the Mexican Regions

Author

Listed:
  • Josep Lluís Carrion-i-Silvestre

    (Faculty of Economics, University of Barcelona)

  • Vicente German-Soto

    (Facultad de Economía, Universidad Autónoma de Coahuila.)

Abstract

The stochastic convergence amongst Mexican Federal entities is analyzed in panel data framework. The joint consideration of cross-section dependence and multiple structural breaks is required to ensure that the statistical inference is based on statistics with good statistical properties. Once these features are accounted for, evidence in favour of stochastic convergence is found. Since stochastic convergence is a necessary, yet insufficient condition for convergence as predicted by economic growth models, the paper also investigates whether beta-convergence process has taken place. We found that the Mexican states have followed either heterogeneous convergence patterns or divergence process throughout the analyzed period.

Suggested Citation

  • Josep Lluís Carrion-i-Silvestre & Vicente German-Soto, 2008. "Panel Data Stochastic Convergence Analysis of the Mexican Regions," IREA Working Papers 200805, University of Barcelona, Research Institute of Applied Economics, revised Apr 2008.
  • Handle: RePEc:ira:wpaper:200805
    as

    Download full text from publisher

    File URL: http://www.ub.edu/irea/working_papers/2008/200805.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Josep Lluis Carrion Silvestre & Tomas del Barrio Castro & Enrique Lopez Bazo, 2002. "Level shifts in a panel data based unit root test. An application to the rate of unemployment," Working Papers in Economics 79, Universitat de Barcelona. Espai de Recerca en Economia.
    2. Pedroni, Peter & Yao, James Yudong, 2006. "Regional income divergence in China," Journal of Asian Economics, Elsevier, vol. 17(2), pages 294-315, April.
    3. Jushan Bai & Serena Ng, 2002. "Determining the Number of Factors in Approximate Factor Models," Econometrica, Econometric Society, vol. 70(1), pages 191-221, January.
    4. Anindya Banerjee & Massimiliano Marcellino & Chiara Osbat, 2004. "Some cautions on the use of panel methods for integrated series of macroeconomic data," Econometrics Journal, Royal Economic Society, vol. 7(2), pages 322-340, December.
    5. Anindya Banerjee, 1999. "Panel Data Unit Roots and Cointegration: An Overview," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 61(S1), pages 607-629, November.
    6. Moon, H.R.Hyungsik Roger & Perron, Benoit, 2004. "Testing for a unit root in panels with dynamic factors," Journal of Econometrics, Elsevier, vol. 122(1), pages 81-126, September.
    7. Kaddour Hadri, 2000. "Testing for stationarity in heterogeneous panel data," Econometrics Journal, Royal Economic Society, vol. 3(2), pages 148-161.
    8. Quah, Danny, 1993. "Empirical cross-section dynamics in economic growth," European Economic Review, Elsevier, vol. 37(2-3), pages 426-434, April.
    9. Kwiatkowski, Denis & Phillips, Peter C. B. & Schmidt, Peter & Shin, Yongcheol, 1992. "Testing the null hypothesis of stationarity against the alternative of a unit root : How sure are we that economic time series have a unit root?," Journal of Econometrics, Elsevier, vol. 54(1-3), pages 159-178.
    10. Josep Lluis Carrion-I-Silvestre & Vicente German-Soto, 2007. "Stochastic Convergence amongst Mexican States," Regional Studies, Taylor & Francis Journals, vol. 41(4), pages 531-541.
    11. M. Hashem Pesaran, 2007. "A simple panel unit root test in the presence of cross-section dependence," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 22(2), pages 265-312.
    12. Chiquiar, Daniel, 2005. "Why Mexico's regional income convergence broke down," Journal of Development Economics, Elsevier, vol. 77(1), pages 257-275, June.
    13. Strazicich, Mark C. & Lee, Junsoo & Day, Edward, 2004. "Are incomes converging among OECD countries? Time series evidence with two structural breaks," Journal of Macroeconomics, Elsevier, vol. 26(1), pages 131-145, March.
    14. Timothy J. Vogelsang & Marc Tomljanovich, 2002. "Are U.S. regions converging? Using new econometric methods to examine old issues," Empirical Economics, Springer, vol. 27(1), pages 49-62.
    15. M. Hashem Pesaran, 2021. "General diagnostic tests for cross-sectional dependence in panels," Empirical Economics, Springer, vol. 60(1), pages 13-50, January.
    16. Lee, Kevin & Pesaran, M Hashem & Smith, Ron, 1997. "Growth and Convergence in Multi-country Empirical Stochastic Solow Model," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 12(4), pages 357-392, July-Aug..
    17. Josep Carrion-i-Silvestre & Andreu Sansó, 2006. "A guide to the computation of stationarity tests," Empirical Economics, Springer, vol. 31(2), pages 433-448, June.
    18. Jushan Bai & Serena Ng, 2004. "A PANIC Attack on Unit Roots and Cointegration," Econometrica, Econometric Society, vol. 72(4), pages 1127-1177, July.
    19. Bernard, Andrew B & Durlauf, Steven N, 1995. "Convergence in International Output," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 10(2), pages 97-108, April-Jun.
    20. Jushan Bai & Pierre Perron, 1998. "Estimating and Testing Linear Models with Multiple Structural Changes," Econometrica, Econometric Society, vol. 66(1), pages 47-78, January.
    21. John Dawson & Amit Sen, 2007. "New evidence on the convergence of international income from a group of 29 countries," Empirical Economics, Springer, vol. 33(2), pages 199-230, September.
    22. Robert J. Barro & Xavier Sala-i-Martin, 1991. "Convergence across States and Regions," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 22(1), pages 107-182.
    23. 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.
    24. Evans, Paul, 1998. "Using Panel Data to Evaluate Growth Theories," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 39(2), pages 295-306, May.
    25. Im, Kyung So & Pesaran, M. Hashem & Shin, Yongcheol, 2003. "Testing for unit roots in heterogeneous panels," Journal of Econometrics, Elsevier, vol. 115(1), pages 53-74, July.
    26. Smyth, Russell & Inder, Brett, 2004. "Is Chinese provincial real GDP per capita nonstationary?: Evidence from multiple trend break unit root tests," China Economic Review, Elsevier, vol. 15(1), pages 1-24.
    27. Donggyu Sul & Peter C. B. Phillips & Chi‐Young Choi, 2005. "Prewhitening Bias in HAC Estimation," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 67(4), pages 517-546, August.
    28. repec:bla:obuest:v:61:y:1999:i:0:p:631-52 is not listed on IDEAS
    29. 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.
    30. Loewy, Michael B. & Papell, David H., 1996. "Are U.S. regional incomes converging? Some further evidence," Journal of Monetary Economics, Elsevier, vol. 38(3), pages 587-598, December.
    31. Lee, Junsoo & Huang, Cliff J. & Shin, Yongcheol, 1997. "On stationary tests in the presence of structural breaks," Economics Letters, Elsevier, vol. 55(2), pages 165-172, August.
    32. Gabriel Rodríguez, 2006. "The role of the interprovincial transfers in the ß: Further empirical evidence for Canada," Journal of Economic Studies, Emerald Group Publishing, vol. 33(1), pages 12-29, January.
    33. Paul Evans, 1997. "How Fast Do Economies Converge?," The Review of Economics and Statistics, MIT Press, vol. 79(2), pages 219-225, May.
    34. repec:bla:reviec:v:9:y:2001:i:1:p:153-62 is not listed on IDEAS
    35. Evans, Paul & Karras, Georgios, 1996. "Convergence revisited," Journal of Monetary Economics, Elsevier, vol. 37(2-3), pages 249-265, April.
    36. Josep Lluís Carrion-i-Silvestre & Tomás del Barrio-Castro & Enrique López-Bazo, 2005. "Breaking the panels: An application to the GDP per capita," Econometrics Journal, Royal Economic Society, vol. 8(2), pages 159-175, July.
    37. Quah, Danny T., 1996. "Empirics for economic growth and convergence," European Economic Review, Elsevier, vol. 40(6), pages 1353-1375, June.
    38. Montañés, Antonio & Reyes, Marcelo, 1998. "Effect Of A Shift In The Trend Function On Dickey–Fuller Unit Root Tests," Econometric Theory, Cambridge University Press, vol. 14(3), pages 355-363, June.
    39. Carlino, Gerald A. & Mills, Leonard O., 1993. "Are U.S. regional incomes converging? : A time series analysis," Journal of Monetary Economics, Elsevier, vol. 32(2), pages 335-346, November.
    40. G. S. Maddala & Shaowen Wu, 1999. "A Comparative Study of Unit Root Tests with Panel Data and a New Simple Test," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 61(S1), pages 631-652, November.
    41. repec:bla:obuest:v:61:y:1999:i:0:p:607-29 is not listed on IDEAS
    42. Quah, Danny T, 1996. "Convergence Empirics across Economies with (Some) Capital Mobility," Journal of Economic Growth, Springer, vol. 1(1), pages 95-124, March.
    43. Levin, Andrew & Lin, Chien-Fu & James Chu, Chia-Shang, 2002. "Unit root tests in panel data: asymptotic and finite-sample properties," Journal of Econometrics, Elsevier, vol. 108(1), pages 1-24, May.
    44. Barro, Robert J & Sala-i-Martin, Xavier, 1992. "Convergence," Journal of Political Economy, University of Chicago Press, vol. 100(2), pages 223-251, April.
    45. Ng, Serena, 2006. "Testing Cross-Section Correlation in Panel Data Using Spacings," Journal of Business & Economic Statistics, American Statistical Association, vol. 24, pages 12-23, January.
    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. Syed A. Basher & Josep Lluís Carrion-i-Silvestre, 2007. "Another Look at the Null of Stationary RealExchange Rates. Panel Data with Structural Breaks and Cross-section Dependence," IREA Working Papers 200710, University of Barcelona, Research Institute of Applied Economics, revised May 2007.
    2. Mariam Camarero & Josep Lluis Carrion-i-Silvestre & Cecilio Tamarit, 2006. "New evidence of the real interest rate parity for OECD countries using panel unit root tests with breaks," Working Papers CREAP2006-14, Xarxa de Referència en Economia Aplicada (XREAP), revised Dec 2006.
    3. Werner, Daniel, 2013. "New insights into the development of regional unemployment disparities," IAB-Discussion Paper 201311, Institut für Arbeitsmarkt- und Berufsforschung (IAB), Nürnberg [Institute for Employment Research, Nuremberg, Germany].
    4. Lin, Pei-Chien & Huang, Ho-Chuan (River), 2012. "Inequality convergence revisited: Evidence from stationarity panel tests with breaks and cross correlation," Economic Modelling, Elsevier, vol. 29(2), pages 316-325.
    5. Abdou-Aziz Niang, 2017. "Testing economic convergence in non-stationary panel," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 26(1), pages 135-156, March.
    6. Burcu Ozcan, 2014. "Does Income Converge among EU Member Countries following the Post-War Period? Evidence from the PANKPSS Test," Journal for Economic Forecasting, Institute for Economic Forecasting, vol. 0(3), pages 22-38, October.
    7. Werner, Daniel, 2013. "Regional convergence analysis for skill-specific employment groups," VfS Annual Conference 2013 (Duesseldorf): Competition Policy and Regulation in a Global Economic Order 79706, Verein für Socialpolitik / German Economic Association.
    8. Syed A. Basher & Josep Lluis Carrión-i-Silvestre, 2008. "Price level convergence, purchasing power parity and multiple structural breaks: An application to US cities," Working Papers XREAP2008-08, Xarxa de Referència en Economia Aplicada (XREAP), revised Jul 2008.
    9. Amélie Charles & Olivier Darne & Jean-François Hoarau, 2012. "Convergence of real per capita GDP within COMESA countries: A panel unit root evidence," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 49(1), pages 53-71, August.
    10. Matsuki, Takashi & Usami, Ryoichi, 2007. "China's Regional Convergence in Panels with Multiple Structural Breaks," MPRA Paper 10167, University Library of Munich, Germany, revised 17 May 2008.
    11. Romero-Ávila, Diego, 2009. "Are OECD consumption-income ratios stationary after all?," Economic Modelling, Elsevier, vol. 26(1), pages 107-117, January.
    12. Tolga Omay & Mübariz Hasanov & Yongcheol Shin, 2018. "Testing for Unit Roots in Dynamic Panels with Smooth Breaks and Cross-Sectionally Dependent Errors," Computational Economics, Springer;Society for Computational Economics, vol. 52(1), pages 167-193, June.
    13. Lee, Chien-Chiang & Chang, Chun-Ping, 2009. "Stochastic convergence of per capita carbon dioxide emissions and multiple structural breaks in OECD countries," Economic Modelling, Elsevier, vol. 26(6), pages 1375-1381, November.
    14. Breitung, Jörg & Pesaran, Mohammad Hashem, 2005. "Unit roots and cointegration in panels," Discussion Paper Series 1: Economic Studies 2005,42, Deutsche Bundesbank.
    15. Kaddour Hadri & Eiji Kurozumi, 2008. "A Simple Panel Stationarity Test in the Presence of Cross-Sectional Dependence," Global COE Hi-Stat Discussion Paper Series gd08-016, Institute of Economic Research, Hitotsubashi University.
    16. Amélie Charles & Olivier Darné & Jean-François Hoarau, 2009. "Does the real GDP per capita convergence hold in the Common Market for Eastern and Southern Africa?," Working Papers hal-00422522, HAL.
    17. Diego Romero‐Ávila, 2007. "The Unit Root Hypothesis for Aggregate Output May Not Hold after All: New Evidence from a Panel Stationarity Test with Multiple Breaks," Southern Economic Journal, John Wiley & Sons, vol. 73(3), pages 642-658, January.
    18. Tolga Omay & Muhammad Shahbaz & Chris Stewart, 2021. "Is there really hysteresis in the OECD unemployment rates? New evidence using a Fourier panel unit root test," Empirica, Springer;Austrian Institute for Economic Research;Austrian Economic Association, vol. 48(4), pages 875-901, November.
    19. Serranito, Francisco, 2013. "Heterogeneous technology and the technological catching-up hypothesis: Theory and assessment in the case of MENA countries," Economic Modelling, Elsevier, vol. 30(C), pages 685-697.
    20. Eftychia Tsanana & Constantinos Katrakilidis, 2014. "Do Balkan economies catch up with EU? New evidence from panel unit root analysis," Empirica, Springer;Austrian Institute for Economic Research;Austrian Economic Association, vol. 41(4), pages 641-662, November.

    More about this item

    Keywords

    Stochastic convergence; beta-convergence; non-stationarity panel data tests; cross-section dependence; multiple structural breaks.;
    All these keywords.

    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
    • C32 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes; State Space Models
    • O40 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - General
    • R11 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General Regional Economics - - - Regional Economic Activity: Growth, Development, Environmental Issues, and Changes

    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:ira:wpaper:200805. 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: Alicia García (email available below). General contact details of provider: https://edirc.repec.org/data/feubaes.html .

    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.