Key result
Shorter race distances yield ~5% higher Critical Speed values, suggesting Critical Power is a mathematical artifact.
Why the study?
To generate an evidence-based debate on the Critical Power, or analogous Critical Speed, concept.
Observational
Absolute Event Rate: 19.62% vs 18.68%
p-value: p=< 0.01
Critical Power/Speed may be a mathematical artifact corresponding to 95-99% of the average speed of the longest distance chosen, rather than a true physiological gold-standard.
Questions reliance on critical speed for performance modeling in runners; leaves open its utility pending direct physiological confirmation.
This report aims to generate an evidence‐based debate of the Critical Power (CP), or its analogous Critical Speed (CS), concept. Race times of top Spanish runners were utilized to calculate CS based on three (1500‐m to 5000‐m; CS 1.5‐5km ) and four (1500‐m to 10000‐m; CS 1.5‐10km ) distance performances. Male running world records from 1000 to 5000‐m (CS 1‐5km ), 1000 to 10,000‐m (CS 1‐10km ), 1000‐m to half marathon (CS 1km‐half marathon ), and 1000‐m to marathon (CS 1km‐marathon ) distance races were also utilized for CS calculations. CS 1.5‐5km (19.62 km h −1 ) and CS 1.5‐10km (18.68 km h −1 ) were different ( p < 0.01), but both approached the average race speed of the longest distance chosen in the model, and were remarkably homogeneous among subjects (97% ±1% and 98% ±1%, respectively). Similar results were obtained using the world records. CS values progressively declined, until reaching a CS 1km‐marathon value of 20.77 km h −1 (10% lower than CS 1‐5km ). Each CS value approached the average speed of the longest distance chosen in the model (96.4%–99.8%). A power function better fitted the speed‐time relationship compared with the standardized hyperbolic function. However, the horizontal asymptote of a power function is zero. This better approaches the classical definition of CP: the power output that can be maintained almost indefinitely without exhaustion. Beyond any sophisticated mathematical calculation, CS corresponds to 95%–99% of the average speed of the longest distance chosen as an exercise trial. CP could be considered a mathematical artifact rather than an important endurance performance marker. In such a case, the consideration of CP as a physiological “gold‐standard” should be reevaluated.
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Gorostiaga et al. (2021) conducted an observational in Endurance running performance. Critical Speed (CS) calculation models vs. Different distance models was evaluated on Critical Speed (CS) values (p=< 0.01). Critical Speed values calculated from 1500-5000m versus 1500-10000m distances differed significantly (19.62 vs 18.68 km/h; p<0.01), suggesting Critical Power is a mathematical artifact.
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