Abstract
Purpose
Peak power output (\({\dot{{\rm W}}} \)peak) in an incremental exercise test (EXT) is considered an important predictor of performance for cyclists. However, \({\dot{{\rm W}}} \)peak is protocol dependent. The purpose of this study was to model the effect of EXT design on \({\dot{{\rm W}}} \)peak.
Methods
An adapted version of a previously developed mathematical model was used. For the purpose of validity testing, we compared predicted \({\dot{{\rm W}}} \)peak differences (predicted Δ\({\dot{{\rm W}}} \)peak) with actual Δ\({\dot{{\rm W}}} \)peak found in sports science literature.
Results
The model quantified Δ\({\dot{{\rm W}}} \)peak between 36 EXT designs with stage durations in the range 1–5 min and increments in the range 10–50 W. Predicted Δ\({\dot{{\rm W}}} \)peak and actual Δ\({\dot{{\rm W}}} \)peak across a wide range of performance levels of cyclists were in good agreement. Depending on the specific combination of increment and stage duration, \({\dot{{\rm W}}} \)peak may be widely different or equivalent. A minimum difference in increment (5 W) or in stage duration (1 min) already results in significantly different \({\dot{{\rm W}}} \)peak. In EXTs having the same ratio between increment and stage duration, \({\dot{{\rm W}}} \)peak in the EXT with the shortest stage duration or the greatest increment is significantly higher. Tests combining 15 W, 25 W or 40 W increments with 2, 3 and 4 min stage durations, respectively, are ‘special’ in that their \({\dot{{\rm W}}} \)peak approximates the power output associated with maximal oxygen uptake (\({\text{P}}-{\dot{\text{V}}\text{O}}_{2} \max\)).
Conclusions
The modeling results allow comparison of \({\dot{{\rm W}}} \)peak between widely different EXT designs. Absolute performance level does not affect Δ\({\dot{{\rm W}}} \)peak. \({\dot{{\rm W}}} \)peak15/2, \({\dot{{\rm W}}} \)peak25/3 and \({\dot{{\rm W}}} \)peak40/4 constitute a practical physiologic reference for performance diagnostics and exercise intensity prescription.
Similar content being viewed by others
Availability of data and materials
Not applicable.
Code availability
Not applicable.
Change history
09 February 2022
A Correction to this paper has been published: https://doi.org/10.1007/s00421-022-04910-w
Abbreviations
- EXT:
-
Incremental exercise test
- HRR:
-
Heart rate reserve (difference between maximal heart rate and resting heart rate)
- MMPt:
-
Maximum mean power for a duration of t min
- \({\dot{{\rm W}}} \)peak:
-
Peak power output in an EXT
- \({\text{P}} - {\dot{\text{V}}\text{O}}_{2} \max\) :
-
Power output associated with maximal oxygen uptake
- SED :
-
Standard error of the difference between two randomly drawn sample means
- SEM:
-
Standard error of the mean
- SD:
-
Stage duration in an EXT
- Tlim:
-
Time until task failure in a constant work rate test
- \({\dot{\text{V}}\text{O}}_{2} {\text{max}}\) :
-
Maximal oxygen uptake
- \({\dot{\text{V}}\text{O}}_{2} {\text{R}}\) :
-
VO2 reserve (difference between maximal oxygen uptake and resting oxygen uptake)
- \({\dot{{\rm W}}} \)completed:
-
Work rate for the highest fully completed work stage in an EXT
References
Adami A, Sivieri A, Moia C, Perini R, Ferretti G (2013) Effects of step duration in incremental ramp protocols on peak power and maximal oxygen consumption. Eur J Appl Physiol 113:2647–2653. https://doi.org/10.1007/s00421-013-2705-9
Amann M, Subudhi A, Foster C (2004) Influence of testing protocol on ventilatory thresholds and cycling performance. Med Sci Sports Exerc 36:613–622. https://doi.org/10.1249/01.mss.0000122076.21804.10
Balmer J, Davisson RCC, Bird SR (2000) Reliability of an air-braked ergometer to record peak power during a maximal cycling test. Med Sci Sports Exerc 32(10):1790–1793. https://doi.org/10.1097/00005768-200010000-00020
Bentley DJ, McNaughton LR (2003) Comparison of W(peak), VO2(peak) and the ventilation threshold from two different incremental exercise tests: relationship to endurance performance. J Sci Med Sport 6(4):422–435. https://doi.org/10.1016/s1440-2440(03)80268-2
Bergh A, Sjodin B, Forsberg A, Svedenhag J (1991) The relationship between body mass and oxygen uptake during running in humans. Med Sci Sports Exerc 23(2):205–211. https://doi.org/10.1249/00005768-199102000-00010
Bland JM, Altman DG (1999) Measuring agreement in method comparison studies. Stat Methods Med Res 8:135–160. https://doi.org/10.1191/096228099673819272
Caputo F, Mello MT, Denadai BS (2003) Oxygen uptake kinetics and time to exhaustion in cycling and running: a comparison between trained and untrained subjects. Arch Physiol Biochem 111(5):461–466. https://doi.org/10.3109/13813450312331342337
Davis JA, Whipp BJ, Lamarra N, Huntsman DJ, Frank MH, Wasserman K (1982) The effect of ramp slope on determination of aerobic parameters from the ramp exercise test. Med Sci Sports Exerc 14(5):339–343. https://doi.org/10.1249/00005768-198205000-00005
De Pauw K, Roelands B, Cheung SS, de Geus B, Rietjens G, Meeusen R (2013) Guidelines to classify subject groups in sport-science research. Int J Sports Physiol Perform 8:111–122. https://doi.org/10.1123/ijspp.8.2.111
Enoka RM, Duchateau J (2018) Muscle function: strength, speed and fatigability. In: Zoladz JA (ed) Muscle and exercise physiology, Elsevier Inc., pp 129–157
Hansen JE, Casaburi R, Cooper DM, Wasserman K (1988) Oxygen uptake as related to work rate increment during cycle ergometer exercise. Eur J Appl Physiol 57:140–145. https://doi.org/10.1007/bf00640653
Hawley JA, Noakes TD (1992) Peak power output predicts maximal oxygen uptake and performance time in trained cyclists. Eur J Appl Physiol 65:79–83. https://doi.org/10.1007/bf01466278
Jones AM, Burnley M, Black MI, Poole DC, Vanhatalo A (2019) The maximal metabolic steady state: redefining the ‘gold’ standard. Physiol Rep 7(10):e14098. https://doi.org/10.14814/phy2.14098
Lamberts RP, Swart J, Woolrich RW, Noakes TD, Lambert MI (2009) Measurement error associated with performance testing in well-trained cyclists: application to the precision of monitoring changes in training status. Int Sport Med J 10(1):33–44
Lamberts RP, Lambert MI, Swart J, Noakes TD (2012) Allometric scaling of peak power output accurately predicts time trial performance and maximal oxygen consumption in trained cyclists. Br J Sports Med 46:36–41. https://doi.org/10.1136/bjsm.2010.083071
Lee H, Martin DT, Anson JM, Grundy D, Hahn AG (2000) Physiological characteristics of successful mountain bikers and professional road cyclists. J Sports Sci 20:1001–1008. https://doi.org/10.1080/026404102321011760
Léger L, Mercier D (1984) Gross energy cost of horizontal treadmill running and track running. Sports Med 1:270–277
Lounana J, Campion F, Noakes TD, Medelli J (2007) Relationship between %HRmax, %HR reserve, %V̇O2max, and %VO2 reserve in elite cyclists. Med Sci Sports Exerc 39(2):350–357. https://doi.org/10.1249/01.mss.0000246996.63976.5f
Luttikholt H, McNaughton LR, Midgley AW, Bentley DJ (2006) A prediction model for peak power output from different incremental exercise tests. Int J Sports Physiol Perform 1:122–136. https://doi.org/10.1123/ijspp.1.2.122
Morton RH (1994) Critical power test for ramp exercise. Eur J Appl Physiol 69:435–438. https://doi.org/10.1007/bf00865408
Peiffer JJ, Quintana R, Parker DL (2005) The influence of graded exercise test selection on Pmax and a subsequent exercise bout. JEP Online 8(6):10–17
Roffey DM, Byrne NM, Hills AP (2007) Effect of stage duration on physiological variables commonly used to determine maximum aerobic performance during cycle ergometry. J Sports Sci 25(12):1325–1335. https://doi.org/10.1080/02640410601175428
Rønnestad BR (2014) Comparing two methods to assess power output associated with peak oxygen uptake in cyclists. J Strength Cond Res 28(1):134–139. https://doi.org/10.1519/jsc.0b013e3182987327
Stockhausen W, Grathwohl D, Burklin C, Spranz P, Keul J (1997) Stage duration and increase of work load in incremental exercise testing on a cycle ergometer. Eur J Appl Physiol Occup Physiol 76(4):295–301. https://doi.org/10.1007/s004210050251
Stone MR, Thomas K, Wilkinson M, St Clair Gibson A, Thompson KG (2011) Consistency of perceptual and metabolic responses to a laboratory-based simulated 4,000-m cycling time trial. Eur J Appl Physiol 111:1807–1813. https://doi.org/10.1007/s00421-010-1818-7
Svedenhag J (1995) Maximal and submaximal oxygen uptake during running: how should body mass be accounted for? Scand J Med Sci Sports 5:175–180. https://doi.org/10.1111/j.1600-0838.1995.tb00033.x
Vandewalle H (2018) Modelling of running performances: comparisons of power-law, hyperbolic, logarithmic and exponential models in elite endurance runners. Biomed Research Int. https://doi.org/10.1155/2018/8203062
Weston SB, Gray AB, Schneider DA, Gass GC (2002) Effect of ramp slope on ventilation thresholds and VO2peak in male cyclists. Int J Sports Med 23:22–27. https://doi.org/10.1055/s-2002-19267
Zhang Y, Johnson MC II, Chow N, Wasserman K (1991) Effect of exercise testing protocol on parameters of aerobic function. Med Sci Sports Exerc 23(5):625–630. https://doi.org/10.1249/00005768-199105000-00016
Funding
Not applicable.
Author information
Authors and Affiliations
Contributions
HL invented the modeling principles, carried out the calculations, made the figures and wrote the first draft manuscript. AJ reviewed and commented on all previous versions of the manuscript. All authors read and approved the manuscript.
Corresponding author
Ethics declarations
Conflict of interest
Not applicable.
Additional information
Communicated by Andrew Cresswell.
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Luttikholt, H., Jones, A.M. Effect of protocol on peak power output in continuous incremental cycle exercise tests. Eur J Appl Physiol 122, 757–768 (2022). https://doi.org/10.1007/s00421-021-04880-5
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00421-021-04880-5