BikeModerate evidencePower Variability & Pacing

Work done above critical power costs disproportionately more fatigue than equivalent work below it

Interpretation

The W′ reconstitution model (Skiba 2014, extended by Caen 2019) and variable-vs-constant-power fatigue research (Theurel & Lepers 2008) converge on the same point: spending capacity above critical power is categorically more costly than equivalent work below it, and recovery of that capacity is slower and more partial than intuition suggests. The on-device W′-balance number is a useful directional model, not a precise instrument — it's built from fresh-state lab data and carries real estimation error.

Practical implication

A pacing-rule engine should weight time-above-critical-power much more heavily than average power when estimating fatigue cost, and should treat on-device W′-balance readouts as approximate, especially late in long events.

Sources

4 sources, independently verified.

Peer-reviewed studyRCT
Effect of work and recovery durations on W′ reconstitution during intermittent exercise
Skiba PF, Jackman S, Clarke D, Vanhatalo A, Jones AM · 2014 · Medicine & Science in Sports & Exercise

Volume 46(7):1433-40. The foundational W′-balance reconstitution model underlying every on-bike-computer W′ estimate — tested how varying work/recovery durations affects how much of the anaerobic work capacity (W′) refills during intermittent exercise. Could not independently confirm an exact DOI for this specific title/author/year combination after two search passes (a related 2012 Skiba/Chidnok/Vanhatalo/Jones MSSE paper, DOI 10.1249/mss.0b013e3182517a80, covers closely related ground) — verify manually before treating the DOI as settled.

Peer-reviewed study
The reconstitution of W′ depends on both work and recovery characteristics
Caen K, Bourgois J, Vermeire K, Boone J · 2019 · Medicine & Science in Sports & Exercise (venue not independently confirmed — moderate confidence)

Extends the Skiba W′ reconstitution model — found reconstitution depends on characteristics of both the preceding work and the recovery interval, not recovery duration alone. Could not independently confirm a DOI or exact venue after two search passes — verify manually.

Peer-reviewed studyRCT
Neuromuscular fatigue is greater following highly variable versus constant intensity endurance cycling ↗
Theurel J, Lepers R · 2008 · European Journal of Applied Physiology
10 subjects

Two 33-min trials at identical average power — one constant (70% max aerobic power), one variable (alternating high/moderate). Neuromuscular fatigue was greater after the variable-power trial despite identical average power, directly supporting the 'surges cost more than steady riding at the same average' principle.

Systematic review
Is intensity the most important factor in determining the amount of prior work accumulated that affects cyclists' acute durability? A systematic review ↗
Sánchez-Jiménez JL, Salas-Montoro JA, Mateo-March M, Priego-Quesada JI, Zabala M, Pérez-Díaz JJ · 2025 · European Journal of Applied Physiology
21 studies included

Found high-intensity efforts (above critical power) produced greater power-output reductions with less accumulated work than low-to-moderate intensity efforts — 10-20% power declines seen after just 2.5-15 kJ/kg of prior high-intensity work. Concludes kJ alone is an insufficient fatigue metric; intensity distribution matters.

Work done above critical power costs disproportionately more fatigue than equivalent work below it | TriForward