REF-1645 · Nevill et al., 2006 · European Journal of Applied Physiology, Vol. · Paper · PubMed

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

Main caveat: Number, level and sex of the riders are not in the abstract (male adults by the PubMed indexing only).
limited, mixed evidenceMeasured on a mixed groupRead from the abstract only

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

Not in the abstract: the number of riders, their level, age and sex. The PubMed record indexes them as male adults.

Protocol

Laboratory measures: maximal aerobic power, power at the ventilatory threshold, average power over a 1-h performance test, body mass.
Outcome: time-trial speed on the flat and on 6% and 12% gradients; where and how these speeds were recorded is not in the abstract.
Analysis: proportional allometric models of the form speed ∝ (power · mass^b)^c, fitted for each power measure, with cross-validation.

Key Results

TerrainBest modelVariance in speed explained
Flat(W_MAP·m^−0.48)^0.5469.3%
Flat(W_VT·m^−0.48)^0.4659.1%
Flat(W_AVG·m^−0.34)^0.5896.3%
Cross-validation (reported with the flat-road results)W_MAP with body mass94.6% (s = 0.686 km/h)
6% and 12% climbs(W_MAP·m^−0.91)^0.66not in the abstract
The authors' summary ratio for flat speed: about W·m^−0.32, matching earlier VO2-based ratios.
The power exponents (0.46-0.58) exceeded the cube-root value of 0.33; the authors suggest bicycle geometry, tractional resistance or a tailwind as explanations.
The abstract does not explain why the cross-validated figure for W_MAP (94.6%) exceeds the fitted one (69.3%).

Practical Application

On the flat, a heavier rider pays less for the extra mass than on climbs, where the cost is almost in proportion. Between riders, flat time-trial speed tracked power divided by a small power of mass (about m^0.32 by the authors' reading), while speed on 6% and 12% climbs tracked power divided by m^0.91, close to plain W/kg. W/kg is the right yardstick for climbing and overstates the penalty of mass on flat roads.
Inference, not tested here: for a light rider thinking about gaining mass, the gain pays on the flat if power rises, in percentage terms, by more than a modest share of the mass gain, and on climbs only if power rises nearly as much as mass does; so the mass has to bring power with it, and in the base a counselled energy surplus in elite athletes added mostly fat (REF-1089).
Inference, not tested here: for flat races, absolute power and aerodynamics matter more than W/kg; the physical reason is that frontal and drag area grow more slowly than mass (REF-1646).
Not settled by this design / not from this paper: what happens when one rider changes mass, women, drafted road races, descents and gradients other than 6% and 12%; the riders' level is not stated.

Limitations

Number, level and sex of the riders are not in the abstract (male adults by the PubMed indexing only).
How the flat and hill speeds were obtained is not in the abstract.
Between-rider associations; they do not show what a change in one rider's mass would do.
The abstract leaves unexplained why the cross-validated variance exceeds the fitted one.
Written from the abstract and the PubMed record; full text not read.
How this entry was checked and changed
Why this level

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

Content correction 2026-11-07
2026-11-07: added from the abstract and the PubMed record; level B- (cross-sectional modelling; number of riders and how the speeds were obtained not in the abstract).