Allometric Scaling of Uphill Cycling Performance

Abstract

Previous laboratory-based investigations have identified optimal body mass scaling exponents in the range 0.79 – 0.91 for uphill cycling. The purpose of this investigation was to evaluate whether or not these exponents are also valid in a field setting. A proportional allometric model was used to predict the optimal power-to-mass ratios associated with road-based uphill time-trial cycling performance. The optimal power function models predicting mean cycle speed during a 5.3 km, 5.4 % road hill-climb time-trial were (V˙O_2max · m^−1.24)^0.55 and (RMP_max · m^−1.04)^0.54, explained variance being 84.6 % and 70.5 %, respectively. Slightly higher mass exponents were observed when the mass predictor was replaced with the combined mass of cyclist and equipment (m_C). Uphill cycling speed was proportional to (V˙O_2max · m_C ^−1.33)^0.57 and (RMP_max · m_C ^−1.10)^0.59. The curvilinear exponents, 0.54 – 0.59, identified a relatively strong curvilinear relationship between cycling speed and energy cost, suggesting that air resistance remains influential when cycling up a gradient of 5.4 %. These results provide some support for previously reported uphill cycling mass exponents derived in laboratories. However, the exponents reported here were a little higher than those reported previously, a finding possibly explained by a lack of geometric similarity in this sample.

Key words

allometric modelling - body size - road cycling - oxygen uptake - power output

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