This paper examines the effects of purchased services and imported intermediate materials on the labour demand for different skills in German manufacturing sectors. We derive and estimate a factor demand system based on the generalised Box-Cox cost function nesting both the normalised quadratic and the translog functional form. We find that the impacts of output and capital growth are more important in explaining the demand for heterogeneous labour than substitution effects between labour and non-labour inputs. Similarly, the increasing use of both imported materials and purchased services is a consequence of output growth rather than input substitution.

Die Discussion Papers dienen einer möglichst schnellen Verbreitung von neueren Forschungsarbeiten des ZEW. Die Beiträge liegen in alleiniger Verantwortung der Autoren und stellen nicht notwendigerweise die Meinung des ZEW dar.Discussion Papers are intended to make results of ZEW research promptly available to other economists in order to encourage discussion and suggestions for revisions. The authors are solely responsible for the contents which do not necessarily represent the opinion of the ZEW.Download this ZEW Discussion Papers from our ftp server:ftp://ftp.zew.de/pub/zew-docs/dp/dp0070.pdf Abstract. We present a new method for imposing and testing concavity of a cost function using asymptotic least squares, which can easily be implemented even for cost functions which are nonlinear in parameters. We provide an illustration on the basis of a (generalized) Box-Cox cost function with six inputs: capital, labor disaggregated in three skill levels, energy, and intermediate materials. A parametric test of the concavity of the cost function in prices is presented, and price elasticities are compared when curvature conditions are imposed and when they are not. The results show that, although concavity is statistically rejected, the estimates are not very sensitive to its imposition. We find that substitution is stronger between the different types of labor than between any other pair of inputs.

The disaggregation of labour in different skill classes has been of major interest in applied labour demand analysis for many countries in recent years.Most of the studies on heterogenous labour demand systems, however, are based on static models implicitly assuming that labour demands adjust to change in prices instantaneously. This paper presents a general dynamic heterogeneous labour demand model based on the quadratic cost function. A special emphazis is directed at three possible determinants of labour demand: capital-skill complementarity, the price sensitivity of labour by different skill classes and the impact of intermediate materials on the different types of labour.Based on west German industry data over the period 1976-1995, it was found that the general dynamic model performs well on statistical grounds. Both in the short-run and the long-run labour by different skill classes have inelastic demands. Unskilled labour was found to have a higher wage elasticity compared to medium-skilled labour. This explains a part of the shift of demand away from unskilled labour. We find that intermediate materials are a substitute for unskilled labour, with a short-run cross price elasticity of 0.27. Despite some temporary falls in the input prices of materials, unskilled labour-material substitutability only explains a small part of the movement of demand away from low-skilled employment. Capital accumulation alone can only account between 6 and 13 percent of the observed shift in demand towards university graduates. A Dynamic Heterogeneous Labour DemandModel for German Manufacturing * Martin Falk* and Bertrand Koebel * * Abstract. This paper presents an application of the Generalised Error Correction Model (GECM) for heterogeneous factor demands based on the quadratic cost function. Using data for 26 West German manufacturing industries over the period 1976-1995, it turns out that less general specifications such as the partial adjustment and the static AR(1) model are rejected. Furthermore, both shortrun and long-run labour demands of different skill classes are inelastic. Unskilled labour is found to have a somewhat higher wage elasticity in absolute terms than medium-skilled labour. A small part of shift in demand away from unskilled labour can be explained by the substitutability relationship between intermediate materials and unskilled labour. Between 6 and 13 percent of the observed shift towards high-skilled labour can be explained by capital accumulation.

Standard-Nutzungsbedingungen:Die Dokumente auf EconStor dürfen zu eigenen wissenschaftlichen Zwecken und zum Privatgebrauch gespeichert und kopiert werden.Sie dürfen die Dokumente nicht für öffentliche oder kommerzielle Zwecke vervielfältigen, öffentlich ausstellen, öffentlich zugänglich machen, vertreiben oder anderweitig nutzen.Sofern die Verfasser die Dokumente unter Open-Content-Lizenzen (insbesondere CC-Lizenzen) zur Verfügung gestellt haben sollten, gelten abweichend von diesen Nutzungsbedingungen die in der dort genannten Lizenz gewährten Nutzungsrechte. The Institute for the Study of Labor (IZA) in Bonn is a local and virtual international research center and a place of communication between science, politics and business. IZA is an independent, nonprofit limited liability company (Gesellschaft mit beschränkter Haftung) supported by Deutsche Post World Net. The center is associated with the University of Bonn and offers a stimulating research environment through its research networks, research support, and visitors and doctoral programs. IZA engages in (i) original and internationally competitive research in all fields of labor economics, (ii) development of policy concepts, and (iii) dissemination of research results and concepts to the interested public. The current research program deals with (1) mobility and flexibility of labor, (2) internationalization of labor markets, (3) welfare state and labor market, (4) labor markets in transition countries, (5) the future of labor, (6) evaluation of labor market policies and projects and (7) general labor economics. Terms of use: Documents in D I S C U S S I O N P A P E R S E R I E SIZA Discussion Papers often represent preliminary work and are circulated to encourage discussion. Citation of such a paper should account for its provisional character. A revised version may be available on the IZA website (www.iza.org) or directly from the author. We study the impact of office and computing machinery (OCM) on the demands for workers with different educational levels. The empirical analysis relies on a system of demand equations that nests the translog, the generalised Leontief and the normalised quadratic specifications. Using panel data on 35 German industries, we find little evidence for a robust substitutability relationship between unskilled workers and OCM capital in manufacturing industries. In the non-manufacturing sector, however, we find some evidence for substitutability between OCM capital and unskilled workers.

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