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

Author

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  • 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
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    1. Aghion, Philippe & Howitt, Peter, 1992. "A Model of Growth through Creative Destruction," Econometrica, Econometric Society, vol. 60(2), pages 323-351, March.
    2. Jean Imbs & Romain Wacziarg, 2003. "Stages of Diversification," American Economic Review, American Economic Association, vol. 93(1), pages 63-86, March.
    3. 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.
    4. Barro, Robert J & Sala-i-Martin, Xavier, 1992. "Convergence," Journal of Political Economy, University of Chicago Press, vol. 100(2), pages 223-251, April.
      • Barro, R.J. & Sala-I-Martin, X., 1991. "Convergence," Papers 645, Yale - Economic Growth Center.
      • Barro, Robert J. & Sala-i-Martin, Xavier, 1992. "Convergence," Scholarly Articles 3451299, Harvard University Department of Economics.
    5. Philippe Aghion, 2005. "Growth and Institutions," Empirica, Springer;Austrian Institute for Economic Research;Austrian Economic Association, vol. 32(1), pages 3-18, March.
    6. 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.
    7. 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.
    8. Bernard, Andrew B. & Durlauf, Steven N., 1996. "Interpreting tests of the convergence hypothesis," Journal of Econometrics, Elsevier, vol. 71(1-2), pages 161-173.
    9. 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..
    10. Klenow, Peter J. & Rodriguez-Clare, Andres, 1997. "Economic growth: A review essay," Journal of Monetary Economics, Elsevier, vol. 40(3), pages 597-617, December.
    11. 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.
    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. 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.
    14. 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.
    15. 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.
    16. 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.
    17. 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.
    18. 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.
    19. 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.
    20. 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.
    21. 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.
    22. 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.
    23. 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.
    24. Romer, Paul M, 1990. "Endogenous Technological Change," Journal of Political Economy, University of Chicago Press, vol. 98(5), pages 71-102, October.
    25. Golan, Amos & Judge, George G. & Miller, Douglas, 1996. "Maximum Entropy Econometrics," Staff General Research Papers Archive 1488, Iowa State University, Department of Economics.
    26. Terry Elrod, 1988. "Choice Map: Inferring a Product-Market Map from Panel Data," Marketing Science, INFORMS, vol. 7(1), pages 21-40.
    27. 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, Oxford University Press, vol. 114(1), pages 83-116.
    28. 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.
    29. R. Cellini & A. Scorcu, 1995. "How many Italies?," Working Papers 215, Dipartimento Scienze Economiche, Universita' di Bologna.
    30. Sala-i-Martin, Xavier, 1997. "I Just Ran Two Million Regressions," American Economic Review, American Economic Association, vol. 87(2), pages 178-183, May.
    31. 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.
    32. 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.
    33. 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.
    34. 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.
    35. 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.
    36. Evans, Paul & Karras, Georgios, 1996. "Convergence revisited," Journal of Monetary Economics, Elsevier, vol. 37(2-3), pages 249-265, April.
    37. Zellner, Arnold, 1996. "Models, prior information, and Bayesian analysis," Journal of Econometrics, Elsevier, vol. 75(1), pages 51-68, November.
    38. 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.
    39. Peter Howitt, 2000. "Endogenous Growth and Cross-Country Income Differences," American Economic Review, American Economic Association, vol. 90(4), pages 829-846, September.
    40. 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.
    41. 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.
    42. 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.
    43. 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.
    44. 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.
    45. 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.
    46. 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.
    47. 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.
    48. Lucas, Robert Jr., 1988. "On the mechanics of economic development," Journal of Monetary Economics, Elsevier, vol. 22(1), pages 3-42, July.
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    Cited by:

    1. 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.
    2. 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.
    3. 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.
    4. 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).
    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.

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