The sawmill industry of the Lake States: a study of productivity, technological change, and factor demand

Abstract

A translog variable cost function of the sawmill industry in Michigan, Minnesota, and Wisconsin was estimated using pooled time-series data for the period 1963–1996 with inputs labour, materials, and capital. The estimated model imposed Hicks-neutral technical change and allowed for nonconstant returns to scale as well as nonunitary elasticities of substitution amongst the inputs. Results for the Allen–Uzawa partial elasticity of substitution and the Morishima elasticity of substitution indicate that the three inputs were inelastic substitutes. The own-price elasticities of demand and the cross-price elasticities were all inelastic. The industry exhibits increasing returns to scale and positive technical change. Total factor productivity was increasing by 0.69%/year over the study period.