Purpose: The relationships between distance (Dlim), speed (S) and exhaustion time (tlim) can be described by different empirical models: power laws (Dlim=ktlimg, and S=ktlim(g-1) in Kennelly's model); critical speed (SCrit) (Dlim=a+SCrit tlim) and logarithmic model (S=1-E*ln tlim in Péronnet-Thibault model). Methods: These models have been applied to the performance of nine physical education students. In the first session, they performed the Montreal Track Test whose speed at the last stage (sMTT) is assumed to correspond to maximal aerobic speed. Thereafter, they performed 3 exhausting running exercises at 90, 100 and 110% sMTT, in different sessions with randomized order. The values of g and k were computed as (g1, k1) from tlim at 90 (tlim90), 100 (tlim100) and 110% sMTT (g1, k1) and also from tlim90 and tlim100 (k2, g2). The values of SCrit were normalized to sMTT. Results: Significant correlations (r>0.999) of the relationships between the logarithms of Dlim and tlim were observed. SCrit was not significantly correlated with g1, g2 and E. In contrast, the correlations between the individual values of g1, g2 and E were highly significant. Conclusion: The high relationship between the logarithms of Dlim and tlim suggested that power laws can be applied to subjects not-specialized in endurance. However, further studies with different protocols are necessary to determine if the power-law model is more accurate and useful than the logarithmic model in subjects who are not specialized in endurance.
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