A comparison of alternative crop response models

Michael D. Frank, Bruce R. Beattie, Mary E. Embleton

Research output: Contribution to journalArticlepeer-review

95 Scopus citations


Three parsimonious models are hypothesized to represent com yield response to nitrogen and phosphorus. Each model imposes specific restrictions with regard to the elasticity of factor substitution and growth plateau. Nonnested hypothesis tests are used to evaluate the competing hypotheses. The results support the restrictions imposed by the Mitscherlich-Baule model. For these data, corn response is characterized by limited substitution between nitrogen and phosphorus and a growth plateau. Further, the cost of using optimal input levels implied by the Mitscherlich-Baule if it were not “true” is small relative to the other parsimonious forms and a translog approximation.

Original languageEnglish (US)
Pages (from-to)597-603
Number of pages7
JournalAmerican Journal of Agricultural Economics
Issue number3
StatePublished - Aug 1990
Externally publishedYes


  • Crop response
  • Elasticity of factor substitution
  • Growth plateau
  • Nonnested hypotheses

ASJC Scopus subject areas

  • Agricultural and Biological Sciences (miscellaneous)
  • Economics and Econometrics


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