Introduction Changes in the parameters of the power–time relationship (critical power (CP) and W′) during endurance exercise would have important implications for performance. We tested the hypotheses that CP and W′, estimated using the end-test power (EP) and the work done above EP (WEP), respectively, during a the 3-min all-out test (3MT), can be reliably determined, and would be lower, after completing 2 h of heavy-intensity exercise. Methods In study 1, six cyclists completed a 3MT immediately after 2 h of heavy-intensity exercise on two occasions to establish the reliability of EP and WEP. In study 2, nine cyclists completed a control 3MT, and a fatigued 3MT and constant power output tests to 30 min or the limit of tolerance (Tlim) below and above F-EP after 2 h of heavy-intensity exercise. Results In study 1, EP (273 ± 52 vs 276 ± 58 W) and WEP (12.4 ± 4.3 vs 12.8 ± 4.3 kJ) after 2 h of heavy-intensity exercise were not different (P > 0.05) and were highly correlated (r = 0.99; P F-EP and Tlim was shorter than 30 min during exercise
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