An empirical basis for route choice in cycling

Scarf, PA; Grehan, P

Abstract

We used data from international cycle stage races to examine a rule for cyclists that is similar to Naismith’s rule. Naismith’s
rule is used by walkers to estimate travel times for routes involving climb (i.e. the vertical distance component of a route).
The rule is also used in route choice decision-making to compare differing, competing routes. We developed such a rule for
use in cycling events, and also considered an extension of the climb-distance rule to take account of the effect of type of
terrain or rideability. A simple analysis of the data suggests that 1 m of vertical travel on a bicycle can be considered to be
equivalent to approximately 8 m of horizontal travel. Thus the equivalent distance of a route may be calculated by taking its
horizontal distance component and adding eight times its vertical distance component. The result obtained was shown to be
in accord with mathematical models that relate cycling power to speed and gradient. An index that considers the effect of
terrain is also reported, and incorporated into an equivalent distance model. Tentative values for the terrain or rideability
index are suggested, and we argue that a distance of 1 km over good off-road terrain is equivalent to a distance of 2 km onroad,
and that a distance of 1 km over poor off-road terrain is equivalent to a distance of 4 km on-road.

Citation

Scarf, P., & Grehan, P. (2005). An empirical basis for route choice in cycling. Journal of Sports Sciences, 23(9), 919-925. https://doi.org/10.1080/02640410400023282

• Journal Article Type: Article
• Publication Date: Jan 1, 2005
• Deposit Date: Oct 6, 2011
• Journal: Journal of Sports Sciences
• Print ISSN: 0264-0414
• Publisher: Taylor and Francis
• Peer Reviewed: Peer Reviewed
• Volume: 23
• Issue: 9
• Pages: 919-925
• DOI: https://doi.org/10.1080/02640410400023282
• Publisher URL: http://dx.doi.org/10.1080/02640410400023282