A test for choice between hyperbolic sigmoidal models of crop yield response to weed density

Scott M. Swinton, Conrad P. Lyford

Research output: Contribution to journalArticlepeer-review

20 Scopus citations

Abstract

The form of a crop yield-weed density response function influences control thresholds and risk management strategies. A choice of model test is introduced for evaluating whether yield response to weed density is sigmoidal or hyperbolic. A null hypothesis of hyperbolic yield response is evaluated in a Monte Carlo simulation of sigmoidal yield functions. The analysis considers two probability distributions of weed density and varying degrees of functional curvature, data variability, and sample size. The results suggest that, given empirical levels of functional curvature and data variability, sample sizes larger than the norm in weed science are required to reject the null hypothesis of hyperbolic response.

Original languageEnglish
Pages (from-to)97-106
Number of pages10
JournalJournal of Agricultural, Biological, and Environmental Statistics
Volume1
Issue number1
DOIs
StatePublished - 1996

Keywords

  • Hyperbola
  • Monte Carlo simulation
  • Nonlinear estimation
  • Sigmoid
  • Weeds
  • Yield response function

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