An Old Problem Revisited—and Solved: Upton and Dalton's Linear Production Response: A Note

Garth Holloway ()

Journal of Agricultural Economics, 2003, vol. 54, issue 3, 487-497

Abstract: This note presents a robust method for estimating response surfaces that consist of linear response regimes and a linear plateau. The linear response‐and‐plateau model has fascinated production scientists since von Liebig (1855) and, as Upton and Dalton indicated, some years ago in this Journal the response‐and‐plateau model seems to fit the data in many empirical studies. The estimation algorithm evolves from Bayesian implementation of a switching‐regression (finite mixtures) model and demonstrates routine application of Gibbs sampling and data augmentation—techniques that are now in widespread application in other disciplines.

Date: 2003
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