Kinesiology, Vol. 21. No. 1., 1989.
Original scientific paper
Mathematical modeling of performance and underlying abilities in sprint
Martin Lames
; Department of Sports, University of Mainz, Federal Republic of Germany
Abstract
The classical method - time and average speed for specific intervals (mostly 10m) - of describing performance has significant drawbacks:
- It produces a non-continuous step-function of sprinting speed which doesn't allow detailed investigation, i. e. the maximum speed can only be located in and interval but not in a certain point of course.
- It is very sensitive to errors because not only differences of measurements are taken but - due to the arrangement as a chain of intervals - the random error for one interval becomes a systematic one for the next interval.
It is suggested to model sprinting speed by continuous function with parameters fitted by non-linear regression. Using a system-approach to modelling two growth-processes are combined: acceleration and fatigue.
Advantages of this method are:
- continuous functions are easy to analyze. By differentiation/integration a complete kinematic description of sprinting behavior is available.
- sensitivity to errors is reduced because of the fitting approach.
- the obtained parameters allow an interpretation as basic abilities underlying the complex sprinting ability. By this was indicators of basic abilities are measured during competition and not under testing circumstances, which is remarkable theoretical aspect.
Analyzng the finals in Rome 1987 demonstrates the capability of the suggested method to provide detailed information on the structure of the complex sprinting ability.
Keywords
Hrčak ID:
256974
URI
Publication date:
1.5.1989.
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