Body mass weighed far less on flat time-trial speed than on climbs: flat speed was best predicted by power divided by mass raised to only 0.34-0.48 (the authors back about W·m^−0.32), hill speed on 6% and 12% grades by power divided by mass^0.91, close to watts per kilogram
Allometric models of laboratory power output; with body mass, maximal aerobic power explained 94.6% of time-trial speed in cross-validation
Nevill and colleagues asked whether the oxygen-to-mass ratios earlier found to predict flat and hill-climbing cycling speed carry over to power outputs that are quick to measure in the laboratory: maximal aerobic power (W_MAP), power at the ventilatory threshold (W_VT) and average power held in a 1-h performance test (W_AVG).
They fitted proportional allometric models linking each power measure and body mass to time-trial speed. On the flat, the best models were (W_MAP·m^−0.48)^0.54, (W_VT·m^−0.48)^0.46 and (W_AVG·m^−0.34)^0.58, explaining 69.3%, 59.1% and 96.3% of the variance in speed.
In cross-validation, W_MAP together with body mass explained 94.6% of the variance, with a standard deviation about the regression line of 0.686 km/h.
The authors read this as support for a flat-road ratio of about W·m^−0.32, as earlier VO2 work found; the power exponents (0.54, 0.46, 0.58), however, sat above the cube root (0.33) that physics would predict, which they say could be explained by other confounding factors such as bicycle geometry, "tractional resistance" or a tailwind.
For the 6% and 12% climbs, speed was proportional to (W_MAP·m^−0.91)^0.66, a mass exponent of 0.91 that also agrees with earlier research.
Participants
Protocol
Key Results
| Terrain | Best model | Variance in speed explained |
|---|---|---|
| Flat | (W_MAP·m^−0.48)^0.54 | 69.3% |
| Flat | (W_VT·m^−0.48)^0.46 | 59.1% |
| Flat | (W_AVG·m^−0.34)^0.58 | 96.3% |
| Cross-validation (reported with the flat-road results) | W_MAP with body mass | 94.6% (s = 0.686 km/h) |
| 6% and 12% climbs | (W_MAP·m^−0.91)^0.66 | not in the abstract |
Practical Application
Limitations
How this entry was checked and changed
a cross-sectional correlational design (B) with key methods missing from the abstract: how many riders, who they were, and how the flat and hill speeds were obtained