Int J Sports Med 2023; 44(13): 969-975
DOI: 10.1055/a-2069-2192
Training & Testing

Running Critical Power: A Comparison Of Different Theoretical Models

1   Department of Physical Education and Sport, University of Granada, Granada, Spain
,
Alberto A Ñancupil-Andrade
2   Department of Health, Universidad de Los Lagos, Osorno, Chile
,
3   Department of Education, Faculty of Education Sciences, University of Almeria, Almeria, Spain
,
1   Department of Physical Education and Sport, University of Granada, Granada, Spain
4   Department of Physical Education, Sports and Recreation, Universidad de La Frontera, Temuco, Chile
› Author Affiliations
Fundings This project was supported by the Andalusian Sports Institute (Instituto Andaluz del Deporte, ref. 5562).

Abstract

This study aimed (i) to compare the critical power (CP) and work capacity over CP (W´) values reported by the different CP models available in current analysis software packages (Golden Cheetah and Stryd platform), (ii) to locate the CP values in the power-duration curve (PDC), and (iii) to determine the influence of the CP model used on the W´ balance. Fifteen trained athletes performed four time trials (i. e., 3, 5, 10, 20 minutes) to define their PDC through different CP models: work-time (CPwork), power-1/time (CP1/time), Morton hyperbolic (CPhyp), Stryd platform (CPstryd), and Bioenergetic Golden Cheetah (CPCheetah). Three additional time trials were performed: two to locate the CP values in the PDC (30 and 60 minutes), and one to test the validity of the W’ balance model (4 minutes). Significant differences (p<0.001) were reported between models for the estimated parameters (CP, W´). CPcheetah was associated with the power output developed between 10 to 20 minutes, CP1/time, CPstryd CPwork and CPhyp. The W´ reported by the three-parameter CP models overestimated the actual 4 minutes time to exhaustion, with CPwork (0.48 [− 0.19 to 1.16] minutes); and CP1/time (0.40 [− 0.13 to 0.94] minutes) being the only valid models (p≥0.240).



Publication History

Received: 19 January 2023

Accepted: 11 March 2023

Article published online:
29 September 2023

© 2023. Thieme. All rights reserved.

Georg Thieme Verlag
Rüdigerstraße 14, 70469 Stuttgart, Germany

 
  • References

  • 1 Ruiz-Alias SA, Olaya-Cuartero J, Ñacupil-Andrade A. et al. 9/3-Minute running critical power test: mechanical threshold location with respect to ventilatory thresholds and maximum oxygen uptake. Int J Sports Physiol Perform 2022; 1: 1-8
  • 2 Vandewalle H. Modelling of running performances: Comparisons of power-law, hyperbolic, logarithmic, and exponential models in elite endurance runners. Biomed Res Int 2018; 2018: 8203062
  • 3 Kirby BS, Winn BJ, Wilkins BW. et al. Interaction of exercise bioenergetics with pacing behavior predicts track distance running performance. J Appl Physiol 2021; 131: 1532-1542
  • 4 Galbraith A, Hopker J, Passfield L. Modeling intermittent running from a single-visit field test. Int J Sports 2015; 36: 365-370
  • 5 Moritani T, Ata AN, Devries HA. et al. Critical power as a measure of physical work capacity and anaerobic threshold. Ergonomics. 1981; 24: 339-350
  • 6 Whipp BJ, Huntsman DJ, Storer TW. et al. A constant which determines the duration of tolerance to high-intensity work. FASEB J 1982; 41: 1591
  • 7 Skiba PF, Clarke DC. The W′ balance model: Mathematical and methodological considerations. Int J Sports Physiol Perform 2021; 16: 1561-1572
  • 8 Morton RH, Billat L. The critical power model for intermittent exercise. Eur J Appl Physiol 2004; 91: 303-307
  • 9 Maturana FM, Fontana FY, Pogliaghi S. et al. Critical power: How different protocols and models affect its determination. J Sci Med Sport 2018; 21: 742-747
  • 10 Housh TJ, Cramer JT, Bull AJ. et al. The effect of mathematical modeling on critical velocity. Eur J Appl Physiol 2001; 84: 469-475
  • 11 Cerezuela-Espejo V, Hernández-Belmonte A, Courel-Ibáñez J. et al. Are we ready to measure running power? Repeatability and concurrent validity of five commercial technologies. Eur J Sport Sci 2021; 21: 341-350
  • 12 García-Pinillos F, Latorre-Román P, Roche-Seruendo LE. et al. Prediction of power output at different running velocities through the two-point method with the StrydTM power meter. Gait Posture 2019; 68: 238-243
  • 13 Imbach F, Candau R, Chailan R. et al. Validity of the Stryd power meter in measuring running parameters at submaximal speeds. Sports 2020; 8: 103
  • 14 Taboga P, Giovanelli N, Spinazzè E. et al. Running power: lab based vs. portable devices measurements and its relationship with aerobic power. Eur J Sport Sci 2021; 22: 1555-1568
  • 15 McKay AK, Stellingwerff T, Smith ES. et al. Defining training and performance caliber: A participant classification framework. Int J Sports Physiol Perform 2022; 17: 317-331
  • 16 Morton H. A 3-parameter critical power model. Ergonomics 1996; 39: 611-619
  • 17 Dearing CG, Paton CD. Is Stryd critical power a meaningful parameter for runners?. Biol Sport 2022; 40: 657-664
  • 18 Skiba PF, Fulford J, Clarke DC. et al. Intramuscular determinants of the ability to recover work capacity above critical power. Eur J Appl Physiol 2015; 115: 703-713
  • 19 Bland JM, Altman D. Statistical methods for assessing agreement between two methods of clinical measurement. Lancet 1986; 327: 307-310
  • 20 Ludbrook J. Statistical techniques for comparing measurers and methods of measurement: A critical review. Clin Exp Pharmacol Physiol 2002; 29: 527-536
  • 21 Ludbrook J. Linear regression analysis for comparing two measurers or methods of measurement: but which regression?. Clin Exp Pharmacol Physiol 2010; 37: 692-699
  • 22 Gaesser GA, Carnevale TJ, Garfinkel A. et al. Estimation of critical power with nonlinear and linear models. Med Sci Sports Exerc 1995; 27: 1430-1438
  • 23 Poole DC, Ward SA, Gardner GW. et al. Metabolic and respiratory profile of the upper limit for prolonged exercise in man. Ergonomics 1988; 31: 1265-1279
  • 24 Jones AM, Wilkerson DP, DiMenna F. et al. Muscle metabolic responses to exercise above and below the “critical power” assessed using 31P-MRS. Am J Physiol Regul Integr Comp Physiol 2008; 294: 585-593
  • 25 Hill DW, Poole DC, Smith JC. The relationship between power and the time to achieve VO2max. Med Sci Sports Exerc 2002; 34: 709-714
  • 26 Bergstrom HC, Housh TJ, Zuniga JM. et al. Differences among estimates of critical power and anaerobic work capacity derived from five mathematical models and the three-minute all-out test. J Strength Cond Res 2014; 28: 592-600
  • 27 Triska C, Karsten B, Beedie C. et al. Different durations within the method of best practice affect the parameters of the speed–duration relationship. Eur J Sport Sci 2018; 18: 332-340
  • 28 Triska C, Karsten B, Nimmerichter A. et al. Iso-duration determination of D′ and CS under laboratory and field conditions. Int J Sports Med 2017; 38: 527-533
  • 29 Girardi M, Gattoni C, Sponza L. et al. Performance prediction, pacing profile and running pattern of elite 1-h track running events. Sport Sci Health 2022; 18: 1457-1474