University of Hertfordshire

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Original languageEnglish
Pages (from-to)584-596
Number of pages13
JournalJournal of Strength and Conditioning Research
Publication statusPublished - 1 Feb 2019


The relationship between exercise intensity and time to task-failure (P-T relationship) is hyperbolic, and characterised by its asymptote (critical power, CP) and curvature constant (W’). The determination of these parameters is of interest for researchers and practitioners, but the testing protocol for CP and W’ determination has not yet been standardised. Conventionally, a series of constant work-rate tests (CWR) to task-failure have been used to construct the P-T relationship. However, the duration, number, and recovery between predictive CWR, and the mathematical model (hyperbolic or derived linear models) are known to affect CP and W’. Moreover, repeating CWR may be deemed as a cumbersome and impractical protocol. Recently, CP and W’ have been determined in field and laboratory settings using time-trials, but the validity of these methods has raised concerns. Alternatively, a 3-min all-out test (3MT) has been suggested, as it provides a simpler method for the determination of CP and W’, whereby power output at the end of the test represents CP, and the amount of work performed above this end-test power equates to W’. However, the 3MT still requires an initial incremental test, and may overestimate CP. The aim of this review is, therefore, to appraise current methods to estimate CP and W’, providing guidelines and suggestions for future research where appropriate.


© 2018 National Strength and Conditioning Association. This is a non-final version of an article published in final form in Muniz-Pumares D, Karsten B, Triska C, Glaister M. Methodological Approaches and Related Challenges Associated With the Determination of Critical Power and Curvature Constant. J Strength Cond Res. 2019;33(2):584-596:

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