Power laws and athletic performance
Deutscher übersetzter Titel: | Rechnerische Gesetzmaessigkeiten und sportliche Leistung |
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Autor: | Katz, J.S.; Katz, L. |
Erschienen in: | Journal of sports sciences |
Veröffentlicht: | 17 (1999), 6, S. 467-476, Lit. |
Format: | Literatur (SPOLIT) |
Publikationstyp: | Zeitschriftenartikel |
Medienart: | Gedruckte Ressource |
Sprache: | Englisch |
ISSN: | 0264-0414, 1466-447X |
Schlagworte: | |
Online Zugang: | |
Erfassungsnummer: | PU199908400878 |
Quelle: | BISp |
Abstract des Autors
In a previous study, we showed that the 1992 men's world record running times in the 100 m to 200 km could be represented accuratelyby the equation T=cD**n, where T is the calculated record time for distance D, and c and n are positive constants. Here, we extend that to cover the years 1925-65 at 10-year intervals and 1970-95 in 5-year intervals for distances of 100 m to 10 km. Values of n for all years lie along a straight line with a small negative slope. A regression analysis yields an equation for values of n covering the period 1925-95. Values of c from 1925 to 1995 were fitted by a quadratic equation. These two equations define a surface in three-dimensional space [log(T), log(D), date] for all men's world record runs over the 70-year period for distances of 100 m to 10 km. We also demonstrated previously that event times, t, do not scatter randomly with respect to the values of T but form a consistent pattern about the straight lines in log(T) versus log(D) plots. In this study, we show that the pattern of (t-T)/t as a function of date has remained constant for the past 70 years. Verf.-Referat