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Relative potency in nonsimilar dose–response curves

Published online by Cambridge University Press:  20 January 2017

Christian Ritz ,
Nina Cedergreen ,
Jens Erik Jensen  and
Jens Carl Streibig
Christian Ritz
Affiliation:
Department of Natural Sciences (Statistics Unit), The Royal Veterinary and Agricultural University, 40 Thorvaldsensvej, DK-1871 Frederiksberg C, Denmark
Jens Erik Jensen
Affiliation:
The Danish Agricultural Advisory Service, National Centre, Department of Crop Production, 15 Udkaersvej, DK-8200 Aarhus N, Denmark
Jens Carl Streibig
Affiliation:
Department of Agricultural Sciences (Crop Science), The Royal Veterinary and Agricultural University, 13 Højbakkegård Allé, DK-2630 Taastrup, Denmark
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Abstract

This article discusses the concept of relative potency of herbicides in bioassays where individual dose–response curves can be similar or nonsimilar, often denoted parallel and nonparallel curves, and have different upper and lower limits. The relative potency is constant for similar dose–response curves and measures the relative horizontal displacement of curves of a similar shape along the dose axis on a logarithmic scale. The concept of similar dose–response curves has been used extensively to assess results from herbicide experiments, for example, with the purpose of adjusting herbicide doses to environmental conditions, formulations, and adjuvants. However, deeming dose–response curves similar when they are not may greatly affect the calculation of the relative potency at response levels such as effective dosage (ED)90, which is relevant for effective weed control, or ED 10, which is used in crop tolerance studies. We present a method for calculating relative potencies between nonsimilar dose–response curves at any response level. It also is demonstrated that if the upper, lower, or both limits among response curves are substantially different, then the ED 50 or any other ED level cannot be used indiscriminately to compute the relative potency. Rather, the relative potency should be viewed as a function of the response level.

Keywords

Dose–response curvesexchange rationonsimilar curvesrelative responsespesticidetoxicity
Type
Physiology, Chemistry, and Biochemistry
Information
Weed Science , Volume 54 , Issue 3 , June 2006 , pp. 407 - 412
Copyright
Copyright © Weed Science Society of America 

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