Péronnet and Thibault's endurance index predicts maximal aerobic power deterioration over prolonged cycling duration

Authors

  • Jérémy Briand Université de Montréal, Montréal, Québec, Canada
  • Frédéric Grappe Équipe cycliste Groupama-FDJ United
  • Victor Scholler Équipe cycliste Groupama-FDJ United
  • Guy Thibault Université de Montréal, Montréal, Québec, Canada
  • Jonathan Tremblay Université de Montréal, Montréal, Québec, Canada

Keywords:

power-duration relationship, endurance index, durability, fatigability, professional cycling

Abstract

INTRODUCTION: The capacity to resist deterioration in physiological characteristics, such as maximal aerobic power (MAP), during prolonged exercise, is a determinant of cycling performance. This capacity has recently been defined as physiological resilience or durability. In 1989, Péronnet and Thibault proposed equations to model the power-duration relationship. The model estimates, from athletes' peak power records (PPR), anaerobic capacity, MAP, and an endurance index (E). E represents the rate of decline of sustainable aerobic power with prolonged exercise duration. However, the connection between E and MAP durability has yet to be investigated. METHODS: The study explores the relationship between E and MAP percentage decline across prior work levels. PPR at four prior work levels (0, 30, 40, and 50 kJ/kg) were recorded over durations ranging from 15 to 3600 s on fifty male professional cyclists (age: 23.0 ± 5.3 years; body mass: 67.8 ± 6.1 kg; V̇O₂max: 74.8 ± 5.8 ml·min⁻¹·kg⁻¹). The Péronnet and Thibault model was fitted to each PPR profile, at each prior work level. RESULTS: The model fitted PPR with mean absolute percentage errors ranging from 1.6 ± 0.6% to 2.2 ± 1.7%. Mean MAP declined from 396 ± 49 W, without prior work, to 349 ± 73 W after 50 kJ/kg (−13.9 ± 12.4%). Baseline MAP and E were strongly correlated (r = 0.85, p < 0.001). After adjusting for this relationship, E was significantly associated with MAP percentage decline (partial r = −0.34 to −0.40, p < 0.02) across all prior work levels. Linear regressions including both E and MAP explained 53% to 68% of the variance in MAP percentage decline. DISCUSSION: These findings suggest that E captures much of the durability construct. Péronnet and Thibault’s endurance index provides a practical means of assessing durability from routinely available PPR data, without requiring extensive fatigue protocols.

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References

Maunder, E., Seiler, S., Mildenhall, M. J., Kilding, A. E., & Plews, D. J. (2021). The importance of ‘durability’ in the physiological profiling of endurance athletes. Sports Medicine, 51(8), 1619–1628. doi:10.1007/s40279-021-01459-0

Péronnet, F., & Thibault, G. (1989). Mathematical analysis of running performance and world running records. Journal of Applied Physiology, 67(1), 453–465. doi:10.1152/jappl.1989.67.1.453

Zanini, M., Folland, J. P., & Blagrove, R. C. (2025). The effect of 90 and 120 min of running on the determinants of endurance performance in well-trained male marathon runners. Scandinavian Journal of Medicine & Science in Sports, 35(5), e70076. doi:10.1111/sms.70076

Published

2026-10-29

How to Cite

Briand, J., Grappe, F., Scholler, V., Thibault, G., & Tremblay, J. (2026). Péronnet and Thibault’s endurance index predicts maximal aerobic power deterioration over prolonged cycling duration. Journal of Science and Cycling, 15(2), 14. Retrieved from https://www.jsc-journal.com/index.php/JSC/article/view/1175

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