A Family of Differential Input Demand Systems with Application to Greek Agriculture

Panos Fousekis and Christos Pantzios

Journal of Agricultural Economics, 1999, vol. 50, issue 3, 549-563

Abstract: This paper develops a family of input demand systems via alternative parametrisations of Theil's differential model. Each member of this family is as flexible as any other locally flexible functional form. More importantly, selection among the competing family members is possible via simple parameter restrictions. The family of differential input demand systems is applied to the agricultural sector in Greece for the period 1961–96. Formal tests suggest that the model with the CBS‐type effects dominates the alternative models. Divisia and price elasticities are calculated from the selected model and a decomposition of changes in the demand for inputs into technical change, total input volume, substitution, and residual effects is performed. The empirical results are quite reasonable. Overall, the analysis in this paper indicates that, in certain cases, the differential approach may provide an attractive alternative to the dual approach in modelling production behaviour.

Date: 1999
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https://doi.org/10.1111/j.1477-9552.1999.tb00898.x

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