Abstract
Statistical Description of Arrival Sequences in Amateur Long-Distance Races
Highlights
IntroductionAmateur runners challenge themselves taking part in long distance races organized all over the world
Running is one of the most popular physical activities
The linear parts of the plots obtained for the half marathons analyzed in this work are not all parallel to each other: only the Silesia and the Seoul half marathons have almost identical arrival time – ranking characteristics; the long upper tail observed in the Silesia characteristic indicates presence of a severe outlier
Summary
Amateur runners challenge themselves taking part in long distance races organized all over the world. The most popular among amateur athletes are 10 km races. Running longer distances, such as half marathons (21.0975 km) and marathons (42.195 km), demands more serious systematic training. Judging from the number of participants, long-distance running events are dynamic mass gatherings. As such, they have been analyzed as stochastic processes with attention being paid to congestion-diffusion effects [1], appearance of critical phenomena in the dynamic process [2], crowding being the effect of both competition and cooperation between the runners [3], or correlations in arrival sequences [4]. Garcia-Manso et al showed that speed of athletes as a function of time in middle and long distance races (from 1500 m to marathon) can be modelled by power laws [5]
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