title: Relationship between speed and time in running.
abstract: The purpose of this study was to evaluate the effect of using different mathematical models to describe the relationship between treadmill running speed and time to exhaustion. All models generated a value for an aerobic parameter (critical speed; S (critical)). 35 university students performed 5-7 constant-speed 0%-slope treadmill tests at speeds that elicited exhaustion in ∼3 min to ∼10 min. Speed and time data were fitted using 3 models: (1) a 2-parameter hyperbolic model; (2) a 3-parameter hyperbolic model; and (3) a hybrid 3-parameter hyperbolic+exponential model. The 2-parameter model generated values for S (critical) (mean (± SD): 186 ± 33 m·min (-1)) and anaerobic distance capacity (ADC; 251 ± 122 m) with a high level of statistical certainty (i.e., with small SEEs). The 3-parameter models generated parameter estimates that were unrealistic in magnitude and/or associated with large SEEs and little statistical certainty. Therefore, it was concluded that, for the range of exercise durations used in the present study, the 2-parameter model is preferred because it provides a parsimonious description of the relationship between velocity and time to fatigue, and it produces parameters of known physiological significance, with excellent confidence.
authors.affiliation: University of North Texas, Kinesiology, Health Promotion and Recreation, Denton 76203, USA. david.hill@unt.edu
authors.forename: D W
authors.initials: DW
authors.lastname: Hill
authors.forename: J L
authors.initials: JL
authors.lastname: Vingren
authors.forename: F Y
authors.initials: FY
authors.lastname: Nakamura
authors.forename: E
authors.initials: E
authors.lastname: Kokobun
mesh_terms: D000328:Adult; D005080:Exercise Test / Q000379:methods*; D017079:Exercise Tolerance / Q000502:physiology; D005221:Fatigue; D005260:Female; D006801:Humans; D008297:Male; D015233:Models, Statistical; D008962:Models, Theoretical; D012420:Running / Q000502:physiology*; D013997:Time Factors; D055815:Young Adult