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| Power laws and athletic performance |
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| Author(s): Katz JS, Katz L |
| Source: JOURNAL OF SPORTS SCIENCES Volume: 17 Issue: 6 Pages: 467-476 Published: JUN 1999 |
| Times Cited: 9 References: 26 |
| Abstract: 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 accurately by 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 cower 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 coveting 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. |
| Document Type: Article |
| Language: English |
| Reprint Address: Katz, JS (reprint author), Univ Sussex, Sci Policy Res Unit, Brighton BN1 9RF, E Sussex England |
Addresses:
1. Univ Sussex, Sci Policy Res Unit, Brighton BN1 9RF, E Sussex England
2. Univ Saskatchewan, Dept Phys, Saskatoon, SK S7N 0W0 Canada |
| Publisher: ROUTLEDGE, 11 NEW FETTER LANE, LONDON EC4P 4EE, ENGLAND |
| Subject Category: Sport Sciences |
| IDS Number: 212LF |
| ISSN: 0264-0414 |
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