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. 2026 Apr 3;56(7):1637–1674. doi: 10.1007/s40279-026-02410-x

Table 3.

Testing protocol characteristics and modelling methods of studies investigating critical speed (CS) and D′ measurement

Study Alternate test protocol Fixed effort distance Fixed effort duration Fixed effort intensity linear (distance time) linear (inverse time) 2-parameter hyperbolic 3-parameter hyperbolic Exponential Stryd Measurement or modelling assessment
Antonio et al. [93] T10 2 trials; 1200, 2400 m – – x – – – – – Comparison of multi-trial testing vs. T10 on CS value
Barbosa et al. [120] T10 3 trials; 1200, 2400, 3600 m – – x – – – – – Comparison of multi-trial testing vs. T10 on CS value. Reliability assessment
Bull et al. [90] – – – 4–5 trials; lasting ~ 3–20 min x x x x x – Comparison of models on CS value
de Borba et al. [94] T10 3 trials; 1200, 2400, 3600 m – – x – – – – – Comparison of multi-trial testing vs. T10 on CS value
Dearing and Paton [91] – – 4 trials; 3, 5, 10, 20 min – – x – – – x Comparison of models on CS value
Follador et al. [96] T10 3 trials; 1200, 2400, 3600 m – – x – – – – – Comparison of multi-trial testing vs. T10 on CS value. Reliability assessment
Figueiredo et al. [95] – 3 trials; 1000, 1800, 2600 m – – x – – – – – Comparison of number and length of trials used on CS value
Gorostiaga et al. [97] – 1000, 1500, 3000, 5000, 10,000 m, half marathon, and marathona – – x – – – – – Comparison of number and length of trials used on CS value
Jaén-Carrillo et al. [121] – – 2 trials; 3 and 9 min – – x – – – – Comparison of task surface (track vs. trail) on CS estimation
Kirby et al. [98] CVST 3 trials; 1200, 2400, 5000 m – – x – – – – – Comparison of multi-trial testing vs. CVST on CS value. Reliability assessment
Kranenburg and Smith [99] – 3 trials; 907, 2268, 4082 m – 3 trials; ~ 3, 7, 13 min x x – – – – Comparison of testing methods on CS (track TT vs. treadmill TTE)
Lord et al. [100] –

Shuttle running test; 100, 400, 1500 m

3 trials; 1200, 2400, 3600 m

1, 5, 10, 60, 300 s – x x – – – – Comparison multi-trial testing vs. gameplay data on CS value. Reliability assessment
Ñancupil-Andrade et al. [101] – – 10 trials; 1, 2, 3, 4, 5, 10, 20, 30, 50, 60 min – – – – – – x Comparison of methods on CS value (TTs vs. 95% 20 min TT)
Olaya–Cuartero et al. [102] – Half marathona 3, 9 min – – – – – – x Comparison of methods on CS value (TTs vs. half marathon power)
Patoz et al. [19] – – – 90, 100, 110, 120% peak speed – – – x – – Comparison of different CP values and CS
Gamelin et al. [43] – – 6, 9, 12 min – x x x x x – Comparison of models on CS value
Simões et al. [92] – 2 trials; 500, 3000 m – Heart rate deflection point velocity x x – – – – Comparison of 2 vs. 3 trials and model on CS value
van Rassel et al. [18] – 3 trials; 1200, 2400, and 3600, 4000 or 4400 m – – – – x – – – Comparison of CP and CS and 2 vs. 3 trials on CS value

COD change of direction, CP critical power, CS critical speed, TT time trial, TTE time to exhaustion, – no data to report, x the model used

aRace data used