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Updated: Sep 17, 2025

Ecotoxicological Methodologies to Evaluate Biomarkers at Different Scales in Neotropical Anurans
Published on: April 28, 2023
Four-parameter nonlinear regression and maximum achievable effect in ecotoxicology: just visually appealing or
Benjamin Daniels1, Udo Hommen2, Monika Ratte1
1ToxRat Solutions GmbH & Co. KG, Alsdorf, Germany.
In ecotoxicology, the concentration causing x% effect (ECx) definition is complex. Four-parameter regressions yield absolute or relative ECx values, necessitating regulatory guidance for consistent interpretation.
Area of Science:
- Ecotoxicology
- Environmental Science
- Chemical Risk Assessment
Background:
- The definition of ECx (concentration causing x% effect) is standard in ecotoxicology.
- Four-parameter regressions (4PR) allow for two ECx calculations: absolute and relative.
- Current software and literature lack uniformity in choosing between absolute and relative ECx.
Purpose of the Study:
- To analyze the differences between absolute and relative ECx values derived from 4PR.
- To highlight the impact of curve steepness and lower limit on ECx calculations.
- To emphasize the need for regulatory guidance on ECx determination.
Main Methods:
- Sensitivity analysis of 4PR models.
- Comparison of absolute ECx and relative ECx calculations.
- Literature review of current practices and software implementations.
Main Results:
- Relative ECx from 4PR can be significantly lower than absolute ECx.
- The choice between absolute and relative ECx depends on curve characteristics.
- Inconsistent application of ECx calculations is prevalent in current practice.
Conclusions:
- The selection of absolute versus relative ECx requires clear regulatory direction, not user preference.
- Standardized guidelines are crucial for consistent, transparent ecotoxicological data interpretation.
- Further discussion and detailed guidance are needed to address the ambiguity in ECx calculations from 4PR.
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