IDEAS home Printed from https://ideas.repec.org/a/sae/inrsre/v33y2010i1p31-59.html
   My bibliography  Save this article

Evaluating Total Factor Productivity Differences by a Mapping Structure in Growth Models

Author

Listed:
  • Rosa Bernardini Papalia

    (Dipartimento di Scienze Statistiche, Università di Bologna, Bologna, Italy, rossella.bernardini@unibo.it)

  • Silvia Bertarelli

    (Dipartimento di Economia Istituzioni Territorio, Università di Ferrara, Ferrara, Italy, silvia.bertarelli@unife.it)

Abstract

The article aims at providing a suitable measure of total factor productivity (TFP) levels within the conditional convergence framework by introducing unobserved heterogeneity in terms of a ‘‘mapping model’’. Our goal is twofold. First, we develop a generalized maximum entropy estimation procedure to account for ill-posed and ill-conditioned inference problems in estimating a conditional convergence regression with fixed effects and heterogeneous coefficients across regions. Second, we provide an endogenous spatial representation of unobserved fixed effects by using a multidimensional scaling technique. The proposed approach is applied to assess the existence of catching-up across Italian regions over the period 1960—1995 and to identify the effects of technology and geographic spillovers on the determination of TFP levels.

Suggested Citation

  • Rosa Bernardini Papalia & Silvia Bertarelli, 2010. "Evaluating Total Factor Productivity Differences by a Mapping Structure in Growth Models," International Regional Science Review, , vol. 33(1), pages 31-59, January.
  • Handle: RePEc:sae:inrsre:v:33:y:2010:i:1:p:31-59
    DOI: 10.1177/0160017609334183
    as

    Download full text from publisher

    File URL: https://journals.sagepub.com/doi/10.1177/0160017609334183
    Download Restriction: no

    File URL: https://libkey.io/10.1177/0160017609334183?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
    ---><---

    References listed on IDEAS

    as
    1. Howitt, Peter & Mayer-Foulkes, David, 2005. "R&D, Implementation, and Stagnation: A Schumpeterian Theory of Convergence Clubs," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 37(1), pages 147-177, February.
    2. Faini, Riccardo & Giannini, Curzio & Ingrosso, Fulvio, 1992. "Finance and Development: The Case of Southern Italy," CEPR Discussion Papers 674, C.E.P.R. Discussion Papers.
    3. Robert M. Solow, 1956. "A Contribution to the Theory of Economic Growth," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 70(1), pages 65-94.
    4. Bernard, Andrew B. & Durlauf, Steven N., 1996. "Interpreting tests of the convergence hypothesis," Journal of Econometrics, Elsevier, vol. 71(1-2), pages 161-173.
    5. Durlauf, Steven N & Johnson, Paul A, 1995. "Multiple Regimes and Cross-Country Growth Behaviour," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 10(4), pages 365-384, Oct.-Dec..
    6. Klenow, Peter J. & Rodriguez-Clare, Andres, 1997. "Economic growth: A review essay," Journal of Monetary Economics, Elsevier, vol. 40(3), pages 597-617, December.
    7. Acemoglu, Daron & Johnson, Simon & Robinson, James A., 2005. "Institutions as a Fundamental Cause of Long-Run Growth," Handbook of Economic Growth, in: Philippe Aghion & Steven Durlauf (ed.), Handbook of Economic Growth, edition 1, volume 1, chapter 6, pages 385-472, Elsevier.
    8. Jean Imbs & Romain Wacziarg, 2003. "Stages of Diversification," American Economic Review, American Economic Association, vol. 93(1), pages 63-86, March.
    9. 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.
    10. Fabio Canova, 2004. "Testing for Convergence Clubs in Income Per Capita: A Predictive Density Approach," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 45(1), pages 49-77, February.
    11. Aghion, Philippe & Howitt, Peter, 1992. "A Model of Growth through Creative Destruction," Econometrica, Econometric Society, vol. 60(2), pages 323-351, March.
    12. Barro, Robert J & Sala-i-Martin, Xavier, 1997. "Technological Diffusion, Convergence, and Growth," Journal of Economic Growth, Springer, vol. 2(1), pages 1-26, March.
    13. Abramovitz, Moses, 1986. "Catching Up, Forging Ahead, and Falling Behind," The Journal of Economic History, Cambridge University Press, vol. 46(2), pages 385-406, June.
    14. Levine, Ross & Renelt, David, 1992. "A Sensitivity Analysis of Cross-Country Growth Regressions," American Economic Review, American Economic Association, vol. 82(4), pages 942-963, September.
    15. Oded Galor & Joseph Zeira, 1993. "Income Distribution and Macroeconomics," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 60(1), pages 35-52.
    16. Golan, Amos & Judge, George G. & Miller, Douglas, 1996. "Maximum Entropy Econometrics," Staff General Research Papers Archive 1488, Iowa State University, Department of Economics.
    17. Terry Elrod, 1988. "Choice Map: Inferring a Product-Market Map from Panel Data," Marketing Science, INFORMS, vol. 7(1), pages 21-40.
    18. Kiviet, Jan F., 1995. "On bias, inconsistency, and efficiency of various estimators in dynamic panel data models," Journal of Econometrics, Elsevier, vol. 68(1), pages 53-78, July.
    19. Holbrook, Morris B & Moore, William L & Winer, Russell S, 1982. "Constructing Joint Spaces from Pick-Any Data: A New Tool for Consumer Analysis," Journal of Consumer Research, Journal of Consumer Research Inc., vol. 9(1), pages 99-105, June.
    20. Arnold Zellner, 1999. "New Information-Based Econometric Methods in Agricultural Economics: Discussion," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 81(3), pages 742-746.
    21. Evans, Paul & Karras, Georgios, 1996. "Convergence revisited," Journal of Monetary Economics, Elsevier, vol. 37(2-3), pages 249-265, April.
    22. Zellner, Arnold, 1996. "Models, prior information, and Bayesian analysis," Journal of Econometrics, Elsevier, vol. 75(1), pages 51-68, November.
    23. Caselli, Francesco & Esquivel, Gerardo & Lefort, Fernando, 1996. "Reopening the Convergence Debate: A New Look at Cross-Country Growth Empirics," Journal of Economic Growth, Springer, vol. 1(3), pages 363-389, September.
    24. Robert E. Hall & Charles I. Jones, 1999. "Why do Some Countries Produce So Much More Output Per Worker than Others?," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 114(1), pages 83-116.
    25. N. Gregory Mankiw & David Romer & David N. Weil, 1992. "A Contribution to the Empirics of Economic Growth," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 107(2), pages 407-437.
    26. Roberto BASILE & Bernard GRESS, 2005. "Semi-Parametric Spatial Auto-Covariance Models Of Regional Growth In Europe," Region et Developpement, Region et Developpement, LEAD, Universite du Sud - Toulon Var, vol. 21, pages 93-118.
    27. 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.
    28. Keane, Michael P & Runkle, David E, 1992. "On the Estimation of Panel-Data Models with Serial Correlation When Instruments Are Not Strictly Exogenous," Journal of Business & Economic Statistics, American Statistical Association, vol. 10(1), pages 1-9, January.
    29. Liu, Zhenjuan & Stengos, Thanasis, 1999. "Non-linearities in Cross-Country Growth Regressions: A Semiparametric Approach," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 14(5), pages 527-538, Sept.-Oct.
    30. Golan, Amos & Judge, G. & Miller, D., 1997. "The Maximum Entropy Approach to Estimation and Inference: An Overview," Staff General Research Papers Archive 1327, Iowa State University, Department of Economics.
    31. Howitt, Peter & Aghion, Philippe, 1998. "Capital Accumulation and Innovation as Complementary Factors in Long-Run Growth," Journal of Economic Growth, Springer, vol. 3(2), pages 111-130, June.
    32. Lucas, Robert Jr., 1988. "On the mechanics of economic development," Journal of Monetary Economics, Elsevier, vol. 22(1), pages 3-42, July.
    33. Philippe Aghion, 2005. "Growth and Institutions," Empirica, Springer;Austrian Institute for Economic Research;Austrian Economic Association, vol. 32(1), pages 3-18, March.
    34. Benhabib, Jess & Spiegel, Mark M., 1994. "The role of human capital in economic development evidence from aggregate cross-country data," Journal of Monetary Economics, Elsevier, vol. 34(2), pages 143-173, October.
    35. 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.
    36. David Cass, 1965. "Optimum Growth in an Aggregative Model of Capital Accumulation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 32(3), pages 233-240.
    37. Leone Leonida & Carmelo Petraglia & Luis Murillo-Zamorano, 2004. "Total factor productivity and the convergence hypothesis in the Italian regions," Applied Economics, Taylor & Francis Journals, vol. 36(19), pages 2187-2193.
    38. Javier Andrés & José E. Boscá & Rafael Doménech, 2004. "Convergence in the OECD: Transitional Dynamics or Narrowing Steady-State Differences?," Economic Inquiry, Western Economic Association International, vol. 42(1), pages 141-149, January.
    39. Romer, Paul M, 1990. "Endogenous Technological Change," Journal of Political Economy, University of Chicago Press, vol. 98(5), pages 71-102, October.
    40. R. Cellini & A. Scorcu, 1995. "How many Italies?," Working Papers 215, Dipartimento Scienze Economiche, Universita' di Bologna.
    41. Sala-i-Martin, Xavier, 1997. "I Just Ran Two Million Regressions," American Economic Review, American Economic Association, vol. 87(2), pages 178-183, May.
    42. Rosa Bernardini Papalia, 1999. "Local generalized method of moments estimation based on kernel weights: An application to panel data," Journal of Applied Statistics, Taylor & Francis Journals, vol. 26(8), pages 1005-1015.
    43. Keane, Michael P & Runkle, David E, 1992. "On the Estimation of Panel-Data Models with Serial Correlation When Instruments Are Not Strictly Exogenous: Reply," Journal of Business & Economic Statistics, American Statistical Association, vol. 10(1), pages 26-29, January.
    44. Dowrick, Steve & Nguyen, Duc-Tho, 1989. "OECD Comparative Economic Growth 1950-85: Catch-Up and Convergence," American Economic Review, American Economic Association, vol. 79(5), pages 1010-1030, December.
    45. Peter Howitt, 2000. "Endogenous Growth and Cross-Country Income Differences," American Economic Review, American Economic Association, vol. 90(4), pages 829-846, September.
    46. Manuel Arellano & Stephen Bond, 1991. "Some Tests of Specification for Panel Data: Monte Carlo Evidence and an Application to Employment Equations," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 58(2), pages 277-297.
    47. Barro, Robert J & Sala-i-Martin, Xavier, 1992. "Convergence," Journal of Political Economy, University of Chicago Press, vol. 100(2), pages 223-251, April.
    48. 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.
    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. Rosa Bernadini Papalia & Silvia Bertarelli, 2013. "Identification and Estimation of Club Convergence Models with Spatial Dependence," International Journal of Urban and Regional Research, Wiley Blackwell, vol. 37(6), pages 2094-2115, November.
    2. Francisco Javier ESCRIBA & María José MURGUI, 2014. "Time Varying Agglomeration Effects on Total Factor Productivity in Spanish Regions (1995-2008)," Regional and Sectoral Economic Studies, Euro-American Association of Economic Development, vol. 14(2).
    3. Thomas Schatzer & Matthias Siller & Janette Walde & Gottfried Tappeiner, 2019. "The Impact of Model Choice on Estimates of Regional TFP," International Regional Science Review, , vol. 42(1), pages 98-116, January.
    4. Bengoa, Marta & Román, Valeriano Martínez-San & Pérez, Patricio, 2017. "Do R&D activities matter for productivity? A regional spatial approach assessing the role of human and social capital," Economic Modelling, Elsevier, vol. 60(C), pages 448-461.
    5. Giuseppe Arbia, 2011. "A Lustrum of SEA: Recent Research Trends Following the Creation of the Spatial Econometrics Association (2007--2011)," Spatial Economic Analysis, Taylor & Francis Journals, vol. 6(4), pages 377-395, July.
    6. Rosa Bernardini Papalia & Silvia Bertarelli, 2013. "Nonlinearities in economic growth and club convergence," Empirical Economics, Springer, vol. 44(3), pages 1171-1202, June.
    7. Rosa Bernardini Papalia & Silvia Bertarelli & Carlo Filippucci, 2011. "Human capital, technological spillovers and development across OECD countries," Working Papers 15, AlmaLaurea Inter-University Consortium.

    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. Rosa Bernardini Papalia & Silvia Bertarelli, 2013. "Nonlinearities in economic growth and club convergence," Empirical Economics, Springer, vol. 44(3), pages 1171-1202, June.
    2. Capolupo, Rosa, 2009. "The New Growth Theories and Their Empirics after Twenty Years," Economics - The Open-Access, Open-Assessment E-Journal (2007-2020), Kiel Institute for the World Economy (IfW Kiel), vol. 3, pages 1-72.
    3. 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.
    4. 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.
    5. Penna, Christiano Modesto & Linhares, Fabricio Carneiro, 2013. "Há controvérsia entre análises de beta e sigma-convergência no Brasil?," Revista Brasileira de Economia - RBE, EPGE Brazilian School of Economics and Finance - FGV EPGE (Brazil), vol. 67(1), April.
    6. repec:fgv:epgrbe:v:67:n:1:a:6 is not listed on IDEAS
    7. Nazrul Islam, 2003. "What have We Learnt from the Convergence Debate?," Journal of Economic Surveys, Wiley Blackwell, vol. 17(3), pages 309-362, July.
    8. Bayraktar-Sağlam, Bahar & Yetkiner, Hakan, 2014. "A Romerian contribution to the empirics of economic growth," Journal of Policy Modeling, Elsevier, vol. 36(2), pages 257-272.
    9. Patrizia Margani & Roberto Ricciuti, 2001. "Further Evidence on Convergence across Italian Regions," ERSA conference papers ersa01p104, European Regional Science Association.
    10. Rosa Bernardini Papalia & Silvia Bertarelli & Carlo Filippucci, 2011. "Human capital, technological spillovers and development across OECD countries," Working Papers 15, AlmaLaurea Inter-University Consortium.
    11. Huang, Ho-Chuan, 2005. "Diverging evidence of convergence hypothesis," Journal of Macroeconomics, Elsevier, vol. 27(2), pages 233-255, June.
    12. Zeira, Joseph & di Vaio, Gianfranco & Battisti, Michele, 2013. "Global Divergence in Growth Regressions," CEPR Discussion Papers 9687, C.E.P.R. Discussion Papers.
    13. Bos, J.W.B. & Economidou, C. & Koetter, M. & Kolari, J.W., 2010. "Do all countries grow alike?," Journal of Development Economics, Elsevier, vol. 91(1), pages 113-127, January.
    14. Howitt, Peter & Mayer-Foulkes, David, 2005. "R&D, Implementation, and Stagnation: A Schumpeterian Theory of Convergence Clubs," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 37(1), pages 147-177, February.
    15. John Knight & Sai Ding, 2008. "Why has China Grown so Fast? The Role of Structural Change," Economics Series Working Papers 415, University of Oxford, Department of Economics.
    16. 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.
    17. ?gel de la Fuente, "undated". "Convergence Across Countries And Regions: Theory And Empirics," UFAE and IAE Working Papers 447.00, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
    18. Steven N. Durlauf & Andros Kourtellos & Chih Ming Tan, 2008. "Empirics of Growth and Development," Chapters, in: Amitava Krishna Dutt & Jaime Ros (ed.), International Handbook of Development Economics, Volumes 1 & 2, volume 0, chapter 3, Edward Elgar Publishing.
    19. Matthew Higgins & Daniel Levy & Andrew T. Young, 2003. "Growth and Convergence across the US: Evidence from County-Level Data," Working Papers 2003-03, Bar-Ilan University, Department of Economics.
    20. Bloom, David E. & Canning, David & Kotschy, Rainer & Prettner, Klaus & Schünemann, Johannes, 2024. "Health and economic growth: Reconciling the micro and macro evidence," World Development, Elsevier, vol. 178(C).
    21. Chen, Binkai & Lin, Justin Yifu, 2021. "Development strategy, resource misallocation and economic performance," Structural Change and Economic Dynamics, Elsevier, vol. 59(C), pages 612-634.

    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:sae:inrsre:v:33:y:2010:i:1:p:31-59. 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: SAGE Publications (email available below). General contact details of provider: .

    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.