Beyond a Single Time Constant: Evaluating the Cross- Protocol Transferability of τW′ in Cyclists

Authors

  • Görkem A. Balci Coaching Education Department, Faculty of Sports Sciences, Ege University, İzmir, Turkiye
  • Burak Alperen Ünsal Ege University, Faculty of Sport Sciences, Izmir, Türkiye
  • Bent R. Rønnestad Section for Health and Exercise Physiology, Institute of Public Health and Sport Sciences, University of Inland, Lillehammer, Norway
  • Richard A. Ferguson School of Sport, Exercise and Health Sciences, Loughborough University, Loughborough, LE11 3TU, UK
  • Alexander J. Welburn School of Sport, Exercise and Health Sciences, Loughborough University, Loughborough, LE11 3TU, UK

Keywords:

critical power, W' balance modelling, recovery kinetics, high-intensity interval training, time constant

Abstract

The quantification of W′ reconstitution kinetics (τW′) is central to W′ balance (W′BAL) modelling, yet whether an individualized τW′ can be transferred across different intermittent exercise structures remains unclear. This study examined the cross-protocol transferability of a reference τW′ derived from a 60 s - 30 s high intensity interval training (HIIT) protocol. Six trained male cyclists completed baseline testing and four exhaustive HIIT protocols: 60 s–30 s HIIT, short HIIT (S-HIIT), long HIIT (L-HIIT), and decreasing power output HIIT (DPO-HIIT). The τW′ required to yield W′BAL = 0 kJ at task failure during 60 s - 30 s HIIT was defined as Ref-τW′ and subsequently applied to the other protocols. End-exercise W′BAL differed across protocols (p<0.001). Ref-τW′ produced the smallest bias and root mean square error during S-HIIT (3.3 and 4.3 kJ), whereas larger errors were observed during L-HIIT (6.5 and 7.0 kJ) and DPO-HIIT (6.8 and 7.4 kJ). Protocol-specific τW′ values also differed (p<0.001), with no differences between 60 s - 30 s and S-HIIT or between L-HIIT and DPO-HIIT. These findings indicate that τW′ is protocol dependent and that a single individualised value may not accurately transfer across distinct HIIT structures. Transferability therefore appears greater between protocols with similar work and recovery characteristics.

Downloads

Download data is not yet available.

References

Bartram, J. C., Thewlis, D., Martin, D. T., & Norton, K. I. (2018). Accuracy of W′ Recovery Kinetics in High Performance Cyclists—Modeling Intermittent Work Capacity. https://doi.org/10.1123/ijspp.2017-0034

Caen, K., Bourgois, G., Dauwe, C., Blancquaert, L., Vermeire, K., Lievens, E., … Boone, J. (2021). W’ Recovery Kinetics after Exhaustion: A Two-Phase Exponential Process Influenced by Aerobic Fitness. Medicine and Science in Sports and Exercise, 53(9), 1911-1921. https://doi.org/10.1249/MSS.0000000000002673

Chorley, A., Bott, R. P., Marwood, S., & Lamb, K. L. (2022). Bi-exponential modelling of W′ reconstitution kinetics in trained cyclists. European Journal of Applied Physiology, 122(3), 677-689. https://doi.org/10.1007/s00421-021-04874-3

De Pauw, K., Roelands, B., Cheung, S. S., de Geus, B., Rietjens, G., & Meeusen, R. (2013). Guidelines to classify subject groups in sport-science research. International Journal of Sports Physiology and Performance, 8(2), 111-122. https://doi.org/10.1123/ijspp.8.2.111

Pugh, C. F., Beaven, C. M., Ferguson, R. A., Driller, M. W., Palmer, C. D., & Paton, C. D. (2022). Critical Power, Work Capacity, and Recovery Characteristics of Team-Pursuit Cyclists. https://doi.org/10.1123/ijspp.2021-0478

Welburn, A. J., Pugh, C. F., Bailey, S. J., & Ferguson, R. A. (2026). W′ reconstitution modelling during intermittent exercise performed to task failure. European Journal of Applied Physiology, 126(2), 765-778. https://doi.org/10.1007/s00421-025-05912-0

Published

2026-10-30

How to Cite

Balci, G. A., Ünsal, B. A., Rønnestad , B. R., Ferguson , R. A., & Welburn, A. J. (2026). Beyond a Single Time Constant: Evaluating the Cross- Protocol Transferability of τW′ in Cyclists. Journal of Science and Cycling, 15(2), 17. Retrieved from https://www.jsc-journal.com/index.php/JSC/article/view/1163

Most read articles by the same author(s)

<< < 1 2