IDEAS home Printed from https://ideas.repec.org/a/kap/jgeosy/v18y2016i4d10.1007_s10109-016-0234-x.html
   My bibliography  Save this article

The properties of tests for spatial effects in discrete Markov chain models of regional income distribution dynamics

Author

Listed:
  • Sergio J. Rey

    (Arizona State University)

  • Wei Kang

    (Arizona State University)

  • Levi Wolf

    (Arizona State University)

Abstract

Discrete Markov chain models (DMCs) have been widely applied to the study of regional income distribution dynamics and convergence. This popularity reflects the rich body of DMC theory on the one hand and the ability of this framework to provide insights on the internal and external properties of regional income distribution dynamics on the other. In this paper we examine the properties of tests for spatial effects in DMC models of regional distribution dynamics. We do so through a series of Monte Carlo simulations designed to examine the size, power and robustness of tests for spatial heterogeneity and spatial dependence in transitional dynamics. This requires that we specify a data generating process for not only the null, but also alternatives when spatial heterogeneity or spatial dependence is present in the transitional dynamics. We are not aware of any work which has examined these types of data generating processes in the spatial distribution dynamics literature. Results indicate that tests for spatial heterogeneity and spatial dependence display good power for the presence of spatial effects. However, tests for spatial heterogeneity are not robust to the presence of strong spatial dependence, while tests for spatial dependence are sensitive to the spatial configuration of heterogeneity. When the spatial configuration can be considered random, dependence tests are robust to the dynamic spatial heterogeneity, but not so to the process mean heterogeneity when the difference in process means is large relative to the variance of the time series.

Suggested Citation

  • Sergio J. Rey & Wei Kang & Levi Wolf, 2016. "The properties of tests for spatial effects in discrete Markov chain models of regional income distribution dynamics," Journal of Geographical Systems, Springer, vol. 18(4), pages 377-398, October.
    • Handle: RePEc:kap:jgeosy:v:18:y:2016:i:4:d:10.1007_s10109-016-0234-x
    DOI: 10.1007/s10109-016-0234-x
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10109-016-0234-x
    File Function: Abstract
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1007/s10109-016-0234-x?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. Daniela Schettini & Carlos Roberto Azzoni & Antonio Páez, 2011. "Neighborhood and Efficiency in Manufacturing in Brazilian Regions: a Spatial Markov Chain Analysis," ERSA conference papers ersa10p1052, European Regional Science Association.
    2. Tauchen, George & Hussey, Robert, 1991. "Quadrature-Based Methods for Obtaining Approximate Solutions to Nonlinear Asset Pricing Models," Econometrica, Econometric Society, vol. 59(2), pages 371-396, March.
    3. George Hammond, 2004. "Metropolitan/non-metropolitan divergence: A spatial Markov chain approach," Papers in Regional Science, Springer;Regional Science Association International, vol. 83(3), pages 543-563, July.
    4. Julie Le Gallo & Coro Chasco, 2009. "Spatial analysis of urban growth in Spain, 1900–2001," Studies in Empirical Economics, in: Giuseppe Arbia & Badi H. Baltagi (ed.), Spatial Econometrics, pages 59-80, Springer.
    5. Quah, Danny, 1993. "Empirical cross-section dynamics in economic growth," European Economic Review, Elsevier, vol. 37(2-3), pages 426-434, April.
    6. Tauchen, George, 1986. "Finite state markov-chain approximations to univariate and vector autoregressions," Economics Letters, Elsevier, vol. 20(2), pages 177-181.
    7. Maarten Bosker & Waldo Krugell, 2008. "Regional Income Evolution In South Africa After Apartheid," Journal of Regional Science, Wiley Blackwell, vol. 48(3), pages 493-523, August.
    8. Galindev, Ragchaasuren & Lkhagvasuren, Damba, 2010. "Discretization of highly persistent correlated AR(1) shocks," Journal of Economic Dynamics and Control, Elsevier, vol. 34(7), pages 1260-1276, July.
    9. 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.
    10. Karen Kopecky & Richard Suen, 2010. "Finite State Markov-chain Approximations to Highly Persistent Processes," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 13(3), pages 701-714, July.
    11. Terry, Stephen J. & Knotek II, Edward S., 2011. "Markov-chain approximations of vector autoregressions: Application of general multivariate-normal integration techniques," Economics Letters, Elsevier, vol. 110(1), pages 4-6, January.
    12. Charles I. Jones, 1997. "On the Evolution of the World Income Distribution," Journal of Economic Perspectives, American Economic Association, vol. 11(3), pages 19-36, Summer.
    13. Julie Le Gallo, 2004. "Space-Time Analysis of GDP Disparities among European Regions: A Markov Chains Approach," International Regional Science Review, , vol. 27(2), pages 138-163, April.
    14. Frank Bickenbach & Eckhardt Bode, 2003. "Evaluating the Markov Property in Studies of Economic Convergence," International Regional Science Review, , vol. 26(3), pages 363-392, July.
    15. Daniela Schettini & Carlos R. Azzoni & Antonio Paez, 2011. "Neighborhood and Efficiency in Manufacturing in Brazilian Regions," International Regional Science Review, , vol. 34(4), pages 397-418, October.
    16. Anselin, Luc, 1990. "Some robust approaches to testing and estimation in spatial econometrics," Regional Science and Urban Economics, Elsevier, vol. 20(2), pages 141-163, September.
    17. Quah, D., 1990. "Galton'S Fallacy And The Tests Of The Convergence Hypothesis," Working papers 552, Massachusetts Institute of Technology (MIT), Department of Economics.
    18. Sergio J. Rey & Julie Gallo, 2009. "Spatial Analysis of Economic Convergence," Palgrave Macmillan Books, in: Terence C. Mills & Kerry Patterson (ed.), Palgrave Handbook of Econometrics, chapter 27, pages 1251-1290, Palgrave Macmillan.
    19. Leonardo Monasterio, 2010. "Brazilian spatial dynamics in the long term (1872–2000): “path dependency” or “reversal of fortune”?," Journal of Geographical Systems, Springer, vol. 12(1), pages 51-67, March.
    20. Fingleton, Bernard, 1997. "Specification and Testing of Markov Chain Models: An Application to Convergence in the European Union," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 59(3), pages 385-403, August.
    21. James LeSage & Bryce Cashell, 2015. "A comparison of vector autoregressive forecasting performance: spatial versus non-spatial Bayesian priors," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 54(2), pages 533-560, March.
    22. Quah, Danny T., 1996. "Empirics for economic growth and convergence," European Economic Review, Elsevier, vol. 40(6), pages 1353-1375, June.
    23. Sergio J. Rey, 2015. "Discrete regional distributional dynamics revisited," Revue d'économie régionale et urbaine, Armand Colin, vol. 0(1), pages 83-104.
    24. Antonio J. Mora & Esther Vayá & Jordi Suriñach & Enrique López-Bazo, 1999. "original: Regional economic dynamics and convergence in the European Union," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 33(3), pages 343-370.
    25. Barro, Robert J & Sala-i-Martin, Xavier, 1992. "Convergence," Journal of Political Economy, University of Chicago Press, vol. 100(2), pages 223-251, April.
    26. Philippe Aghion & Peter Howitt, 1997. "Endogenous Growth Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262011662, April.
    27. 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. Wei Kang & Sergio J. Rey, 2020. "Inference for Income Mobility Measures in the Presence of Spatial Dependence," International Regional Science Review, , vol. 43(1-2), pages 10-39, January.
    2. Andrés Vallone & Coro Chasco, 2020. "Spatiotemporal methods for analysis of urban system dynamics: an application to Chile," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 64(2), pages 421-454, April.
    3. Zhongxun Zhang & Kaifang Shi & Zhiyong Zhu & Lu Tang & Kangchuan Su & Qingyuan Yang, 2022. "Spatiotemporal Evolution and Influencing Factors of the Rural Natural Capital Utilization Efficiency: A Case Study of Chongqing, China," Land, MDPI, vol. 11(5), pages 1-29, May.
    4. Wei Kang & Sergio J. Rey, 2018. "Conditional and joint tests for spatial effects in discrete Markov chain models of regional income distribution dynamics," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 61(1), pages 73-93, July.

    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. Maarten Bosker, 2009. "The spatial evolution of regional GDP disparities in the ‘old’ and the ‘new’ Europe," Papers in Regional Science, Wiley Blackwell, vol. 88(1), pages 3-27, March.
    2. Sergio Rey, 2014. "Rank-based Markov chains for regional income distribution dynamics," Journal of Geographical Systems, Springer, vol. 16(2), pages 115-137, April.
    3. Maarten Bosker & Waldo Krugell, 2008. "Regional Income Evolution In South Africa After Apartheid," Journal of Regional Science, Wiley Blackwell, vol. 48(3), pages 493-523, August.
    4. Cheong, Tsun Se & Wu, Yanrui, 2013. "Regional disparity, transitional dynamics and convergence in China," Journal of Asian Economics, Elsevier, vol. 29(C), pages 1-14.
    5. Wei Kang & Sergio J. Rey, 2018. "Conditional and joint tests for spatial effects in discrete Markov chain models of regional income distribution dynamics," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 61(1), pages 73-93, July.
    6. 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.
    7. 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.
    8. Le Pen, Yannick, 2011. "A pair-wise approach to output convergence between European regions," Economic Modelling, Elsevier, vol. 28(3), pages 955-964, May.
    9. Eckey, Hans-Friedrich & Türck, Matthias, 2005. "Convergence of EU-regions: A literature report," Volkswirtschaftliche Diskussionsbeiträge 80, University of Kassel, Faculty of Economics and Management.
    10. Kurt Geppert & Andreas Stephan, 2008. "Regional disparities in the European Union: Convergence and agglomeration," Papers in Regional Science, Wiley Blackwell, vol. 87(2), pages 193-217, June.
    11. Enrico Fabrizi & Gianni Guastella & Stefano Marta & Francesco Timpano, 2016. "Determinants of Intra-Distribution Dynamics in European Regions: An Empirical Assessment of the Role of Structural Intervention," Tijdschrift voor Economische en Sociale Geografie, Royal Dutch Geographical Society KNAG, vol. 107(5), pages 522-539, December.
    12. 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.
    13. Julie Le Gallo, 2004. "Space-Time Analysis of GDP Disparities among European Regions: A Markov Chains Approach," International Regional Science Review, , vol. 27(2), pages 138-163, April.
    14. Ezcurra, Roberto, 2007. "Is there cross-country convergence in carbon dioxide emissions?," Energy Policy, Elsevier, vol. 35(2), pages 1363-1372, February.
    15. Roberto Ezcurra & Pedro Pascual, 2007. "Regional Polarisation and National Development in the European Union," Urban Studies, Urban Studies Journal Limited, vol. 44(1), pages 99-122, January.
    16. 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].
    17. repec:cpn:umkeip:2012:v4:p:167-186 is not listed on IDEAS
    18. Eckey, Hans-Friedrich & Türck, Matthias, 2007. "Convergence of EU-Regions. A Literature Report," INVESTIGACIONES REGIONALES - Journal of REGIONAL RESEARCH, Asociación Española de Ciencia Regional, issue 10, pages 5-32.
    19. 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.
    20. Völlmecke, Dominik & Jindra, Björn & Marek, Philipp, 2016. "FDI, human capital and income convergence—Evidence for European regions," Economic Systems, Elsevier, vol. 40(2), pages 288-307.
    21. Cetorelli, Nicola, 2002. "Could Prometheus be bound again? A contribution to the convergence controversy," Journal of Economic Dynamics and Control, Elsevier, vol. 27(1), pages 29-50, November.

    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:kap:jgeosy:v:18:y:2016:i:4:d:10.1007_s10109-016-0234-x. 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.