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Int J Sports Med 2011; 32(7): 519-522
DOI: 10.1055/s-0031-1275298
Training & Testing

© Georg Thieme Verlag KG Stuttgart · New York

Relationship Between Speed and Time in Running

D. W. Hill1 , J. L. Vingren1 , F. Y. Nakamura2 , E. Kokobun3
  • 1University of North Texas, Kinesiology, Health Promotion and Recreation, Denton, United States
  • 2Universidade Estadual de Londrina, Departamento de Educação Física, Londrina, Brazil
  • 3Universidade Estadual Paulista, Instituto de Biociências, Rio Claro, Brazil
Further Information

Publication History

accepted after revision February 11, 2011

Publication Date:
11 May 2011 (online)

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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; Scritical). 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 Scritical (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.

Key words

aerobic - anaerobic - critical power - critical velocity - mathematical - model

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Correspondence

Dr. David W. Hill

University of North Texas

Kinesiology, Health Promotion

and Recreation

1155 Union Circle #310769

76203 Denton

United States

Phone: 940/565/22 52

Fax: 940/565/49 04

Email: david.hill@unt.edu