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Estimating factor shares from nonstationary panel data

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  • Juan Carlos Aquino

    (Central Reserve Bank of Peru)

  • N. R. Ramírez-Rondán

    (Universidad del Pacífico)

Abstract

The measurement of the sources of economic growth, essential for understanding the long-term perspective of any economy, depends on both the functional form that summarizes technology and factor share values. We estimate the share of physical capital in output, implied by a Cobb–Douglas production function, using fully modified and dynamic ordinary least squares estimators within a panel cointegration framework for 109 countries over the period 1960–2014. For several measures of labor, our estimates range between 0.46 and 0.56 for the worldwide set and vary significantly across regions. The panel estimates are: (i) similar when human capital is taken as a separate factor of production; and (ii) more robust than both the average of the individual cross-country estimates and those obtained in the model in differences. We also find that the CES production function estimates favor the Cobb–Douglas specification. Finally, we provide some evidence of a decline in the share of labor, in line with recent empirical studies.

Suggested Citation

  • Juan Carlos Aquino & N. R. Ramírez-Rondán, 2020. "Estimating factor shares from nonstationary panel data," Empirical Economics, Springer, vol. 58(5), pages 2353-2380, May.
  • Handle: RePEc:spr:empeco:v:58:y:2020:i:5:d:10.1007_s00181-019-01647-y
    DOI: 10.1007/s00181-019-01647-y
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    1. Robert C. Feenstra & Robert Inklaar & Marcel P. Timmer, 2015. "The Next Generation of the Penn World Table," American Economic Review, American Economic Association, vol. 105(10), pages 3150-3182, October.
    2. Xuguang Sheng & Jingyun Yang, 2013. "Truncated Product Methods for Panel Unit Root Tests," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 75(4), pages 624-636, August.
    3. Joakim Westerlund, 2006. "Testing for Panel Cointegration with Multiple Structural Breaks," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 68(1), pages 101-132, February.
    4. Chihwa Kao & Min‐Hsien Chiang & Bangtian Chen, 1999. "International R&D Spillovers: An Application of Estimation and Inference in Panel Cointegration," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 61(S1), pages 691-709, November.
    5. Phillips, Peter C B, 1995. "Fully Modified Least Squares and Vector Autoregression," Econometrica, Econometric Society, vol. 63(5), pages 1023-1078, September.
    6. Pedroni, Peter, 2004. "Panel Cointegration: Asymptotic And Finite Sample Properties Of Pooled Time Series Tests With An Application To The Ppp Hypothesis," Econometric Theory, Cambridge University Press, vol. 20(3), pages 597-625, June.
    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. Brent Neiman, 2014. "The Global Decline of the Labor Share," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 129(1), pages 61-103.
    9. Jeremy Greenwood & Boyan Jovanovic, 2001. "Accounting for Growth," NBER Chapters, in: New Developments in Productivity Analysis, pages 179-224, National Bureau of Economic Research, Inc.
    10. Hansen, Bruce E., 1992. "Efficient estimation and testing of cointegrating vectors in the presence of deterministic trends," Journal of Econometrics, Elsevier, vol. 53(1-3), pages 87-121.
    11. Douglas Gollin, 2002. "Getting Income Shares Right," Journal of Political Economy, University of Chicago Press, vol. 110(2), pages 458-474, April.
    12. Stock, James H & Watson, Mark W, 1993. "A Simple Estimator of Cointegrating Vectors in Higher Order Integrated Systems," Econometrica, Econometric Society, vol. 61(4), pages 783-820, July.
    13. Kao, Chihwa, 1999. "Spurious regression and residual-based tests for cointegration in panel data," Journal of Econometrics, Elsevier, vol. 90(1), pages 1-44, May.
    14. Peter Pedroni, 2000. "Fully Modified OLS for Heterogeneous Cointegrated Panels," Department of Economics Working Papers 2000-03, Department of Economics, Williams College.
    15. 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.
    16. Peter Phillips & Hyungsik Moon, 2000. "Nonstationary panel data analysis: an overview of some recent developments," Econometric Reviews, Taylor & Francis Journals, vol. 19(3), pages 263-286.
    17. Peter Pedroni, 1999. "Critical Values for Cointegration Tests in Heterogeneous Panels with Multiple Regressors," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 61(S1), pages 653-670, November.
    18. Sturgill, Brad, 2012. "The relationship between factor shares and economic development," Journal of Macroeconomics, Elsevier, vol. 34(4), pages 1044-1062.
    19. Barro, Robert J. & Lee, Jong Wha, 2013. "A new data set of educational attainment in the world, 1950–2010," Journal of Development Economics, Elsevier, vol. 104(C), pages 184-198.
    20. repec:bla:obuest:v:61:y:1999:i:0:p:631-52 is not listed on IDEAS
    21. Suzanne McCoskey & Chihwa Kao, 1998. "A residual-based test of the null of cointegration in panel data," Econometric Reviews, Taylor & Francis Journals, vol. 17(1), pages 57-84.
    22. Engle, Robert & Granger, Clive, 2015. "Co-integration and error correction: Representation, estimation, and testing," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 39(3), pages 106-135.
    23. Charles R. Hulten & Edwin R. Dean & Michael J. Harper, 2001. "New Developments in Productivity Analysis," NBER Books, National Bureau of Economic Research, Inc, number hult01-1.
    24. Choi, In, 2001. "Unit root tests for panel data," Journal of International Money and Finance, Elsevier, vol. 20(2), pages 249-272, April.
    25. Peretto, Pietro F. & Seater, John J., 2013. "Factor-eliminating technical change," Journal of Monetary Economics, Elsevier, vol. 60(4), pages 459-473.
    26. Ben S. Bernanke & Refet S. Gürkaynak, 2002. "Is Growth Exogenous? Taking Mankiw, Romer, and Weil Seriously," NBER Chapters, in: NBER Macroeconomics Annual 2001, Volume 16, pages 11-72, National Bureau of Economic Research, Inc.
    27. Psacharopoulos, George, 1994. "Returns to investment in education: A global update," World Development, Elsevier, vol. 22(9), pages 1325-1343, September.
    28. repec:oup:qjecon:v:129:y:2013:i:1:p:61-103 is not listed on IDEAS
    29. Bentolila Samuel & Saint-Paul Gilles, 2003. "Explaining Movements in the Labor Share," The B.E. Journal of Macroeconomics, De Gruyter, vol. 3(1), pages 1-33, October.
    30. Nelson C. Mark & Donggyu Sul, 2003. "Cointegration Vector Estimation by Panel DOLS and Long‐run Money Demand," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 65(5), pages 655-680, December.
    31. S. de Silva & K. Hadri & A. R. Tremayne, 2009. "Panel unit root tests in the presence of cross-sectional dependence: finite sample performance and an application," Econometrics Journal, Royal Economic Society, vol. 12(2), pages 340-366, July.
    32. 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.
    33. 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.
    34. Johansen, Soren, 1988. "Statistical analysis of cointegration vectors," Journal of Economic Dynamics and Control, Elsevier, vol. 12(2-3), pages 231-254.
    35. repec:bla:obuest:v:61:y:1999:i:0:p:653-70 is not listed on IDEAS
    36. Badi H. Baltagi & Chihwa Kao, 2000. "Nonstationary Panels, Cointegration in Panels and Dynamic Panels: A Survey," Center for Policy Research Working Papers 16, Center for Policy Research, Maxwell School, Syracuse University.
    37. Peter Pedroni, 2001. "Purchasing Power Parity Tests In Cointegrated Panels," The Review of Economics and Statistics, MIT Press, vol. 83(4), pages 727-731, November.
    38. Peter C. B. Phillips & Bruce E. Hansen, 1990. "Statistical Inference in Instrumental Variables Regression with I(1) Processes," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 57(1), pages 99-125.
    39. D. W. Jorgenson & Z. Griliches, 1967. "The Explanation of Productivity Change," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 34(3), pages 249-283.
    40. King, Robert G. & Plosser, Charles I. & Rebelo, Sergio T., 1988. "Production, growth and business cycles : II. New directions," Journal of Monetary Economics, Elsevier, vol. 21(2-3), pages 309-341.
    41. repec:bla:obuest:v:61:y:1999:i:0:p:691-709 is not listed on IDEAS
    42. King, Robert G. & Plosser, Charles I. & Rebelo, Sergio T., 1988. "Production, growth and business cycles : I. The basic neoclassical model," Journal of Monetary Economics, Elsevier, vol. 21(2-3), pages 195-232.
    43. Mohamed Ben Omar Ndiaye & Robert Dauda Korsu, 2016. "Growth Accounting in ECOWAS Countries: A Panel Unit Root and Cointegration Approach," Advances in African Economic, Social and Political Development, in: Diery Seck (ed.), Accelerated Economic Growth in West Africa, edition 127, pages 19-35, Springer.
    44. Abdelhak Senhadji, 2000. "Sources of Economic Growth: An Extensive Growth Accounting Exercise," IMF Staff Papers, Palgrave Macmillan, vol. 47(1), pages 1-6.
    45. Arne Henningsen & Géraldine Henningsen, 2011. "Econometric Estimation of the “Constant Elasticity of Substitution" Function in R: Package micEconCES," IFRO Working Paper 2011/9, University of Copenhagen, Department of Food and Resource Economics.
    46. Saikkonen, Pentti, 1991. "Asymptotically Efficient Estimation of Cointegration Regressions," Econometric Theory, Cambridge University Press, vol. 7(1), pages 1-21, March.
    47. 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.
    48. 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.
    49. Westerlund, Joakim, 2006. "Testing for panel cointegration with a level break," Economics Letters, Elsevier, vol. 91(1), pages 27-33, April.
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    More about this item

    Keywords

    Production function; Factor shares; Cointegration; Panel data;
    All these keywords.

    JEL classification:

    • C23 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Models with Panel Data; Spatio-temporal Models
    • E23 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Production
    • O47 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - Empirical Studies of Economic Growth; Aggregate Productivity; Cross-Country Output Convergence

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