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Problems with Regional Production Functions and Estimates of Agglomeration Economies: A Caveat Emptor for Regional Scientists

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  • Jesus Felipe
  • John McCombie

Abstract

Over the last 20 years or so, mainstream economists have become more interested in spatial economics and have introduced largely neoclassical economic concepts and tools to explain phenomena that were previously the preserve of economic geographers. One of these concepts is the aggregate production function, which is also central to much of regional growth theory. However, as Franklin Fisher, inter alios, has shown, the conditions necessary to aggregate microproduction functions into an aggregate production function are so stringent that in all probability the aggregate production function does not exist. This paper shows that the good statistical fits commonly found empirically are solely due to the use of value data and an underlying accounting identity. The result is that the estimates obtained cannot be regarded as providing evidence of the underlying technological structure of the spatial economy, including the aggregate elasticity of substitution, the degree of returns to scale, and the rate of technical progress.

Suggested Citation

  • Jesus Felipe & John McCombie, 2012. "Problems with Regional Production Functions and Estimates of Agglomeration Economies: A Caveat Emptor for Regional Scientists," Economics Working Paper Archive wp_725, Levy Economics Institute.
  • Handle: RePEc:lev:wrkpap:wp_725
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    1. Nikos Benos & Stelios Karagiannis, 2008. "Convergence And Economic Performance In Greece: Evidence At Regional And Prefecture Level," Review of Urban & Regional Development Studies, Wiley Blackwell, vol. 20(1), pages 52-69, March.
    2. Mercedes Delgado & Michael E. Porter & Scott Stern, 2010. "Clusters and entrepreneurship," Journal of Economic Geography, Oxford University Press, vol. 10(4), pages 495-518, July.
    3. Mark Roberts & Mark Setterfield, 2010. "Endogenous Regional Growth: A Critical Survey," Chapters, in: Mark Setterfield (ed.), Handbook of Alternative Theories of Economic Growth, chapter 21, Edward Elgar Publishing.
    4. John McCombie & Maurizio Pugno & Bruno Soro (ed.), 2002. "Productivity Growth and Economic Performance," Palgrave Macmillan Books, Palgrave Macmillan, number 978-0-230-50423-3.
    5. Florax, Raymond & Folmer, Henk, 1992. "Specification and estimation of spatial linear regression models : Monte Carlo evaluation of pre-test estimators," Regional Science and Urban Economics, Elsevier, vol. 22(3), pages 405-432, September.
    6. Asier Minondo, 2010. "Exports' Productivity and Growth across Spanish Regions," Regional Studies, Taylor & Francis Journals, vol. 44(5), pages 569-577.
    7. Hiro Izushi, 2008. "What Does Endogenous Growth Theory Tell about Regional Economies? Empirics of R&D Worker-based Productivity Growth," Regional Studies, Taylor & Francis Journals, vol. 42(7), pages 947-960.
    8. John B. Davis & Alain Marciano & Jochen Runde (ed.), 2004. "The Elgar Companion To Economics and Philosophy," Books, Edward Elgar Publishing, number 2696.
    9. E. H. Phelps Brown, 1957. "The Meaning of the Fitted Cobb-Douglas Function," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 71(4), pages 546-560.
    10. Guido Ascari & Valeria di Cosmo, 2005. "Determinants of total factor productivity in the italian Regions," SCIENZE REGIONALI, FrancoAngeli Editore, vol. 2005(2).
    11. Roberta Capello & Peter Nijkamp (ed.), 2009. "Handbook of Regional Growth and Development Theories," Books, Edward Elgar Publishing, number 12874.
    12. Luisa Corrado & Bernard Fingleton, 2012. "Where Is The Economics In Spatial Econometrics?," Journal of Regional Science, Wiley Blackwell, vol. 52(2), pages 210-239, May.
    13. Douglas, Paul H, 1976. "The Cobb-Douglas Production Function Once Again: Its History, Its Testing, and Some New Empirical Values," Journal of Political Economy, University of Chicago Press, vol. 84(5), pages 903-915, October.
    14. Roberto Esposti & Stefania Bussoletti, 2008. "Impact of Objective 1 Funds on Regional Growth Convergence in the European Union: A Panel-data Approach," Regional Studies, Taylor & Francis Journals, vol. 42(2), pages 159-173.
    15. Martin, Ron, 1999. "The New 'Geographical Turn' in Economics: Some Critical Reflections," Cambridge Journal of Economics, Oxford University Press, vol. 23(1), pages 65-91, January.
    16. Anyadike-Danes, Michael & Godley, Wynne, 1989. "Real Wages and Employment: A Sceptical View of Some Recent Empirical Work," The Manchester School of Economic & Social Studies, University of Manchester, vol. 57(2), pages 172-187, June.
    17. Mark Setterfield (ed.), 2010. "Handbook of Alternative Theories of Economic Growth," Books, Edward Elgar Publishing, number 12814.
    18. Hans-Friedrich Eckey & Reinhold Kosfeld & Matthias Türck, 2007. "Regional Convergence in Germany: a Geographically Weighted Regression Approach," Spatial Economic Analysis, Taylor & Francis Journals, vol. 2(1), pages 45-64.
    19. Michael Storper, 2011. "From Retro to Avant-garde: A Commentary on Paul Krugman's 'The New Economic Geography, Now Middle-aged'," Regional Studies, Taylor & Francis Journals, vol. 45(1), pages 9-15.
    20. Ron Martin & Peter Sunley, 1998. "Slow Convergence? The New Endogenous Growth Theory and Regional Development," Economic Geography, Taylor & Francis Journals, vol. 74(3), pages 201-227, July.
    21. Jesus Felipe & Franklin M. Fisher, 2003. "Aggregation in Production Functions: What Applied Economists should Know," Metroeconomica, Wiley Blackwell, vol. 54(2‐3), pages 208-262, May.
    22. Hoover,Kevin D., 2015. "Applied Intermediate Macroeconomics," Cambridge Books, Cambridge University Press, number 9781107436824, January.
    23. John S. L. McCombie & Mark Roberts, 2007. "Returns To Scale And Regional Growth: The Static-Dynamic Verdoorn Law Paradox Revisited," Journal of Regional Science, Wiley Blackwell, vol. 47(2), pages 179-208, May.
    24. Paul Bishop & Peter Gripaios, 2010. "Spatial Externalities, Relatedness and Sector Employment Growth in Great Britain," Regional Studies, Taylor & Francis Journals, vol. 44(4), pages 443-454.
    25. Harris, Richard I D & Trainor, Mary, 1997. "Productivity Growth in the UK Regions, 1968-91," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 59(4), pages 485-509, November.
    26. O'Donnell, A T & Swales, J K, 1979. "Factor Substitution, the C.E.S. Production Function and U.K. Regional Economics," Oxford Economic Papers, Oxford University Press, vol. 31(3), pages 460-476, November.
    27. Nijkamp, P. & Abreu, M., 2009. "Regional development theory," Serie Research Memoranda 0029, VU University Amsterdam, Faculty of Economics, Business Administration and Econometrics.
    28. J. S. L. McCombie, 1998. "'Are There Laws of Production': an assessment of the early criticisms of the," Review of Political Economy, Taylor & Francis Journals, vol. 10(2), pages 141-173.
    29. Gasper A. Garofalo & Steven Yamarik, 2002. "Regional Convergence: Evidence From A New State-By-State Capital Stock Series," The Review of Economics and Statistics, MIT Press, vol. 84(2), pages 316-323, May.
    30. Vassilis Tselios, 2009. "Growth and Convergence in Income Per Capita and Income Inequality in the Regions of the EU," Spatial Economic Analysis, Taylor & Francis Journals, vol. 4(3), pages 343-370.
    31. Nakamura, Ryohei, 1985. "Agglomeration economies in urban manufacturing industries: A case of Japanese cities," Journal of Urban Economics, Elsevier, vol. 17(1), pages 108-124, January.
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    3. Pinkovetskaia Iuliia Ginzburg Maria, 2018. "Is Russia Rationally Developing its Small and Medium-Sized Enterprises? An Analysis of Regional Production Functions," Zagreb International Review of Economics and Business, Faculty of Economics and Business, University of Zagreb, vol. 21(2), pages 37-48, November.
    4. Roberta Capello & Silvia Cerisola, 2020. "Concentrated versus diffused growth assets: agglomeration economies and regional cohesion," Growth and Change, Wiley Blackwell, vol. 51(4), pages 1440-1453, December.
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    More about this item

    Keywords

    Accounting Identity; Agglomeration Economies; Regional Aggregate Production Functions;
    All these keywords.

    JEL classification:

    • B50 - Schools of Economic Thought and Methodology - - Current Heterodox Approaches - - - General
    • O4 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity
    • R11 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General Regional Economics - - - Regional Economic Activity: Growth, Development, Environmental Issues, and Changes

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