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The South African Aggregate Production Function: Estimation Of The Constant Elasticity Of Substitution Function

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  • Lumengo Bonga‐bonga

Abstract

This paper assesses the validity of the constant elasticity of substitution (CES) and the Cobb‐Douglas (CD) production functions in modelling the aggregate production function and computing the total factor productivity (TFP) in South Africa for the period 1970‐2006. The CES function is estimated with Nerlove's two‐step procedure using the autoregressive distributed lag (ARDL) cointegration and the Kalman filter estimation techniques, while the CD production function is estimated using the Kalman filter technique. The results of the forecast performance of the two model specifications show that the CD specification outperforms the CES for the period 1970‐2006, although the CD specification may be too restrictive.

Suggested Citation

  • Lumengo Bonga‐bonga, 2009. "The South African Aggregate Production Function: Estimation Of The Constant Elasticity Of Substitution Function," South African Journal of Economics, Economic Society of South Africa, vol. 77(2), pages 332-349, June.
    • Handle: RePEc:bla:sajeco:v:77:y:2009:i:2:p:332-349
    DOI: 10.1111/j.1813-6982.2009.01208.x
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    1. Antràs Pol, 2004. "Is the U.S. Aggregate Production Function Cobb-Douglas? New Estimates of the Elasticity of Substitution," The B.E. Journal of Macroeconomics, De Gruyter, vol. 4(1), pages 1-36, April.
    2. Pesaran, M. H. & Shin, Y. & Smith, R. J., 1996. "Testing for the 'Existence of a Long-run Relationship'," Cambridge Working Papers in Economics 9622, Faculty of Economics, University of Cambridge.
    3. Shaik, Saleem, 2008. "Accounting for (In)Efficiency in the Estimation of Time-Varying Returns to Scale," Agribusiness & Applied Economics Report 44308, North Dakota State University, Department of Agribusiness and Applied Economics.
    4. Lee, Dongin & Schmidt, Peter, 1996. "On the power of the KPSS test of stationarity against fractionally-integrated alternatives," Journal of Econometrics, Elsevier, vol. 73(1), pages 285-302, July.
    5. Yu Hsing, 1996. "An empirical estimation of regional production functions for the U.S. manufacturing industry," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 30(4), pages 351-358.
    6. 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.
    7. Rainer Klump & Harald Preissler, 2000. "CES Production Functions and Economic Growth," Scandinavian Journal of Economics, Wiley Blackwell, vol. 102(1), pages 41-56, March.
    8. repec:zbw:bofrdp:2001_010 is not listed on IDEAS
    9. Harvey,Andrew C., 1991. "Forecasting, Structural Time Series Models and the Kalman Filter," Cambridge Books, Cambridge University Press, number 9780521405737, September.
    10. M. Hashem Pesaran & Yongcheol Shin & Richard J. Smith, 2001. "Bounds testing approaches to the analysis of level relationships," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 16(3), pages 289-326.
    11. Charlotte DU Toit & Elna Moolman, 2003. "Estimating Potential Output And Capacity Utilisation For The South African Economy," South African Journal of Economics, Economic Society of South Africa, vol. 71(1), pages 96-118, March.
    12. Duffy, John & Papageorgiou, Chris, 2000. "A Cross-Country Empirical Investigation of the Aggregate Production Function Specification," Journal of Economic Growth, Springer, vol. 5(1), pages 87-120, March.
    13. Paul Conway & Ben Hunt, 1997. "Estimating potential output: a semi-structural approach," Reserve Bank of New Zealand Discussion Paper Series G97/9, Reserve Bank of New Zealand.
    14. Eric Miller, 2008. "An Assessment of CES and Cobb-Douglas Production Functions: Working Paper 2008-05," Working Papers 19992, Congressional Budget Office.
    15. H. Bhorat & J. Hodge, 1999. "Decomposing Shifts in Labour Demand in South Africa," South African Journal of Economics, Economic Society of South Africa, vol. 67(3), pages 155-168, September.
    16. Mr. Vivek B. Arora & Mr. Ashok Bhundia, 2003. "Potential Output and total Factor Productivity Growth in Post-Apartheid South Africa," IMF Working Papers 2003/178, International Monetary Fund.
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    Cited by:

    1. Neil Rankin & Rulof Burger & Friedrich Kreuser, 2015. "The elasticity of substitution and labour-displacing technical change in post-apartheid South Africa," WIDER Working Paper Series 101, World Institute for Development Economic Research (UNU-WIDER).
    2. Saten Kumar & Gail Pacheco & Stephanié Rossouw, 2010. "How to Increase the Growth Rate in South Africa?," EERI Research Paper Series EERI_RP_2010_31, Economics and Econometrics Research Institute (EERI), Brussels.
    3. Paul E. Brockway & Matthew K. Heun & João Santos & John R. Barrett, 2017. "Energy-Extended CES Aggregate Production: Current Aspects of Their Specification and Econometric Estimation," Energies, MDPI, vol. 10(2), pages 1-23, February.
    4. Alberto Behar, 2010. "Would Cheaper Capital Replace Labour?," South African Journal of Economics, Economic Society of South Africa, vol. 78(2), pages 131-151, June.
    5. Rulof P. Burger & Francis J. Teal, 2015. "The Effect of Schooling on Worker Productivity: Evidence from a South African Industry Panel," Journal of African Economies, Centre for the Study of African Economies, vol. 24(5), pages 629-644.

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