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Updated: Jun 27, 2026

Split Point Analysis and Uncertainty Quantification of Thermal-Optical Organic/Elemental Carbon Measurements
Published on: September 7, 2019
Use of observations below detection limit for model calibration.
Michael LeFrancois1, Eileen Poeter
1Norwest Applied Hydrology, Denver, CO 80246, USA.
This study introduces a censored-residual approach to accurately calibrate models using chemical concentration data below detection limits. This method avoids bias introduced by deleting or substituting nondetect values, improving model predictions for low concentration environments.
Area of Science:
- Environmental Science
- Water Quality Analysis
- Geochemistry
Background:
- Nondetect values in water samples, representing concentrations below analytical detection limits, pose challenges in environmental modeling.
- Traditional methods of deleting or substituting these values can introduce significant bias in parameter estimation and model predictions.
- Accurate representation of low chemical concentrations is crucial for understanding environmental processes and risks.
Purpose of the Study:
- To develop and present a novel method for incorporating nondetect values into model calibration.
- To provide a more realistic and less biased approach to calibrating environmental models with censored data.
- To demonstrate the advantages of the proposed method, particularly for transport models dealing with low concentration data.
Main Methods:
- Proposing a censored-residual approach for handling nondetect observations during model calibration.
- Calculating residuals as the difference between the detection limit and simulated value when the simulated value exceeds the detection limit.
- Assigning a residual of zero when the simulated value is below the detection limit.
Main Results:
- The censored-residual approach offers a more realistic inclusion of nondetect values compared to deletion or substitution.
- This method reduces bias in estimated parameter values and model predictions.
- The approach is particularly beneficial for calibrating transport models using datasets with many low concentration measurements.
Conclusions:
- The censored-residual approach is a statistically sound and practical method for incorporating chemical nondetect values in model calibration.
- This technique enhances the accuracy of environmental models, especially those sensitive to low concentration data.
- Adoption of this method can lead to more reliable assessments of water quality and contaminant transport.
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