Abstract
This paper presents an econometric analysis of factor demands in the Norwegian primary aluminium industry using annual plant-level panel data. The translog cost function approach is applied, and a multivariate error-correction model of the cost shares of labour, raw materials and electricity is estimated. Capital is assumed tobe quasi-fixed. The hypothesis of fixed input coefficients is rejected for this industry, but the estimated own-price and cross-price elasticities suggest that relative price variations have limited effect on conditional factor demands.
Similar content being viewed by others
References
Akaike H (1974) A new look at the statistical model identification. IEEE Transactions on Automatic Control 19:716–723
Anderson GJ, Blundell RW (1982) Estimation and hypothesis testing in dynamic singular equation systems. Econometrica 50:1559–1571
Anderson TW, Hsiao C (1982) Formulation and estimation of dynamic models using panel data. Journal of Econometrics 18:47–82
Bergstrøm V, Epaminondas EP (1992) How robust is the capital-skill complementarity hypothesis? The Review of Economics and Statistics 74:540–546
Berndt ER, Savin NE (1975) Estimation and hypothesis testing in singular equation systems with autoregressive disturbances. Econometrica 43:937–957
Binswanger HP (1974) A cost function approach to the measurement of factor demand elasticities and of elasticities of substitution. American Journal of Agricultural Economics 56:377–386
Blackorby C, Russell RR (1989) Will the real elasticities of substitution please stand up? (A Comparison of the Allen/Uzawa and Morishima Elasticities). American Economic Review 79:882–888
Bradley J, Gerald JF, Kearney I (1990) Modelling manufacturing sector behaviour using a restricted cost function: An application to a small open economy. Unpublished paper
Bresnahan TF, Suslow VY (1989) Oligopoly pricing with capacity constraints. Annales d'Économie et de Statistique 15/16:267–289
Bye T, Førsund FR (1990) Structural change in the Norwegian primary aluminium industry. Working Paper 37/1990, Center for Research in Economics and Business Administration (SNF), Oslo
Bye T, Strøm S (1987) Kraftpriser og kraftforbruk. Sosialøkonomen 4 (in Norwegian)
Chambers RG (1988) Applied production analysis. Cambridge University Press
Christensen LR, Jorgenson DW, Lau L (1971) Conjugate duality and the transcendental logarithmic production function. Econometrica 39:255–256
Christensen LR, Jorgenson DW, Lau L (1973) Transcendental logarithmic production frontiers. Review of Economics and Statistics 55:28–45
Engle RF, Granger CWJ (1987) Cointegration and error correction: Representation, estimating and testing. Econometrica 55:251–276
Friesen J (1992) Testing dynamic specification of factor demand equations for US manufacturing. The Review of Economics and Statistics 74:240–250
Froeb L, Geweke J (1987) Long run competition in the US aluminum industry. International Journal of Industrial Organization 5:67–78
Førsund FR, Jansen ES (1983) Technical progress and structural change in the Norwegian primary aluminium industry. Scandinavian Journal of Economics 85:113–126
Godfrey LG (1988) Misspecification tests in econometrics. Cambridge University Press
Gordon S (1992) Costs of adjustment, the aggregation problem and investment. The Review of Economics and Statistics 74:422–429
Grant JH (1993) The translog approximate function. Substitution among inputs in manufacturing evaluated at sample means. Economics Letters 41:235–240
Hendry DF, Mizon GE (1978) Serial correlation as a convenient simplification, not a nuisance: A comment on a study of the demand for money by the bank of England. Economic Journal 88:549–563
Holly S, Smith P (1989) Interrelated factor demands for manufacturing: A dynamic translog cost function approach. European Economic Review 33:111–126
Jorgensen DW (1986) Econometric methods for modelling producer behaviour. In: Griliches Z, Intriligator MD (eds) Handbook of Econometrics Volume III. Amsterdam North-Holland
Kiviet JF (1986) On the rigour of some misspecification tests for modelling dynamic relationships. Review of Economic Studies 53:241–261
Klette TJ (1990) The Norwegian aluminium industry, electricity prices and welfare. Økonomiske Doktoravhandlinger 6. Department of Economics, University of Oslo
Longva S, Olsen Ø (1983) Price sensitivity of energy demand in Norwegian industries. Scandinavian Journal of Economics 85:17–36
Mahmud SF, Robb AL, Scarth WM (1987) On estimating dynamic factor demands. Journal of Applied Econometrics 2:69–75
Mizon G (1977) Inferential procedures in nonlinear models: An application in a UK industrial cross section study of factor substitution and returns to scale. Econometrica 45:1221–1242
Mohnen PA, Nadiri MI, Prucha IR (1986) R&D, production structure and rates of return in the US, Japanese and German manufacturing sectors. European Economic Review 30:749–771
Morishima M (1967) A few suggestions on the theory of elasticity (in Japanese), Keizai Hyoron (Economic Review) 16:144–150
Morrison C (1988) Quasi-fixed inputs in US and Japanese manufacturing: A generalized leontief restricted cost function approach. The Review of Economics and Statistics 70:275–287
Moschini G, Moro D (1994) Autocorrelation specification in singular equation systems. Economic Letters 46:303–309
Nickell S, Wadhwani S (1991) Employment determination in British industry: Investigations using micro-data. Review of Economic Studies 58:955–969
Olsen Ø (1983) Etterspørselsfunksjoner for arbeidskraft, energi og vareinnsats. Rapporter 83/11 (in Norwegian), Statistics Norway, Oslo
Pindyck RS, Rotemberg J (1983a) Dynamic factor demands and the effects of energy price shocks. The American Economic Review 73:1066–1079
Pindyck RS, Rotemberg J (1983b) Dynamic factor demands under rational expectations. Scandinavian Journal of Economics 85:223–238
Pollak RA, Wales TJ (1991) The likelihood dominance criterion. A new approach to model selection. Journal of Econometrics 47:227–242
Reynolds SS (1986) Strategic capital investiment in the American aluminum industry. The Journal of Industrial Economics 34:225–245
Rosenbaum DI (1989) An empirical test of the effect of excess capacity in price setting, capacityconstrained supergames. International Journal of Industrial Organization 7:231–241
Sato K (1975) Production functions and aggregation, contributions to economic analysis Vol 90. Amsterdam North-Holland
Toevs AL (1982) Approximate variance formulas for the elasticities of substitution obtained from translog cost functions. Economic Letters 10:107–113
Urbain J-P (1992) On weak exogeneity in error correction models. Oxford Bulletin of Economics and Statistics 54:187–207
Wolfson P (1993) Compositional change, aggregation, and dynamic factor demand. Estimates on a panel of manufacturing firms. Journal of Applied Econometrics 8:129–148
Author information
Authors and Affiliations
Additional information
The author wishes to thank Ådne Cappelen, Tor Jakob Klette, Asbjørn Rødseth, Margaret Simpson, Terje Skjerpen, participants at the Econometric Society European Meeting 1994 and two anonymous referees for valuable comments. Financial support for this research was provided by Norges Forskningsråd (Nærings-LOS, project 2150101).
Rights and permissions
About this article
Cite this article
Lindquist, KG. The existence of factor substitution in the primary aluminium industry: A multivariate error-correction approach using Norwegian panel data. Empirical Economics 20, 361–383 (1995). https://doi.org/10.1007/BF01180672
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01180672