Related Experiment Video
Updated: Jul 4, 2026

10:46
A Method of Trigonometric Modelling of Seasonal Variation Demonstrated with Multiple Sclerosis Relapse Data
Published on: December 9, 2015
Evaluation of two methods of interpolating quarterly trihalomethane levels between sampling dates
Wayne Richter1, Thomas F Hart, Thomas Luben
1New York State Department of Health, Troy, New York 12180, USA. wxr04@health.state.ny.us
Summary
Estimating exposure to disinfection byproducts (DBPs) like trihalomethanes (THMs) during pregnancy can be improved. Linear interpolation of monthly water quality data provides more accurate exposure estimates than single quarterly samples.
Area of Science:
- Environmental Health
- Epidemiology
- Water Quality Monitoring
Background:
- Epidemiological studies often rely on single quarterly samples for disinfection byproduct (DBP) exposure assessment.
- Trihalomethanes (THMs), a common DBP class, exhibit significant temporal fluctuations, potentially misrepresenting exposure over pregnancy.
- Existing methods may not adequately capture the dynamic nature of THM concentrations in drinking water.
Purpose of the Study:
- To evaluate interpolation methods for improving exposure estimates of trihalomethanes (THMs) using available water quality data.
- To compare the accuracy of cubic splines and linear interpolation against actual quarterly measurements.
Main Methods:
- Utilized monthly THM sampling data from the New York City water supply system.
- Employed cubic spline and linear interpolation techniques to estimate THM levels between quarterly compliance samples.
- Validated interpolated values against actual data from the remaining months within each quarter.
Main Results:
- Both interpolation methods demonstrated generally acceptable fits, with 90% of discrepancies under 14 µg/l for total THMs (THM4).
- Linear interpolation outperformed cubic splines, showing lower average discrepancies and fewer large deviations.
- Interpolated values were significantly more precise than typical quarterly variations and the range of values used in many existing studies.
Conclusions:
- Linear interpolation offers a practical and effective approach to enhance exposure estimates from sparse quarterly water quality monitoring data.
- This method can improve the accuracy of epidemiological studies linking DBPs to adverse birth outcomes by better characterizing exposure.
- The findings support the use of linear interpolation for more robust environmental exposure assessments in public health research.

