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Can a Simple Trapezoidal Integration Approach Accurately Estimate the Supra-Critical Speed Distance Capacity of a
Karla R Bulte1,2,3, Lachlan L G Mitchell1, Rodney Siegel2
1Victorian Institute of Sport, Albert Park, VIC, Australia.
International Journal of Sports Physiology and Performance
|April 20, 2026
Summary
Trapezoidal integration (TI) accurately estimates swimmers' supra-CS distance capacity (D') in the 12 × 25-m swim test. This method simplifies calculations, making physiological monitoring more accessible for coaches and athletes.
Area of Science:
- Sports Science
- Exercise Physiology
- Swimming Analytics
Background:
- The 12 × 25-m swim test is crucial for physiological monitoring in swimming, assessing parameters like critical speed (CS) and supra-CS distance capacity (D').
- Current methods for calculating D' require specialized software, limiting test accessibility for many coaches and athletes.
Purpose of the Study:
- To evaluate trapezoidal integration (TI) as a simpler, more accurate method for estimating D' from the 12 × 25-m swim test.
- To enhance the accessibility of this performance profiling tool for a broader range of swimming practitioners.
Main Methods:
- Thirty-one national-level swimmers' data from the 12 × 25-m swim test was analyzed.
- D' was calculated using both the established model fit method and the proposed TI approach.
- Linear regression, Pearson correlations, paired t-tests, and Bland-Altman plots were used to assess the relationship and agreement between the two methods.
Main Results:
- A very strong positive correlation (r = .999) was observed between D' values calculated by TI and the model fit method.
- The difference between the two methods was minimal (0.040 m) and not statistically significant (P = .495).
Conclusions:
- Trapezoidal integration (TI) is a valid and reliable method for estimating D' in the 12 × 25-m swim test.
- This simplification eliminates the need for specialized software, significantly increasing the test's accessibility.
- The findings will empower a wider range of swimming coaches and athletes to utilize this valuable physiological monitoring tool.
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