Fig. 12.

Illustration of Propositions 1 and 2 on a hypothetical 5-km race by Eliud Kipchoge. The lines show Kipchoge’s best possible finish times according to the hyperbolic (a.k.a. critical-power) and power-law (a.k.a. Riegel) model if he maintains the velocity given on the first axis over the first kilometre. The model parameters are as estimated in the section “Case study from Jones et al. (2019)”; the dotted line represents critical velocity. The figure illustrates that the power-law model considers over-pacing to be dangerous whilst the hyperbolic model does not