Scaling laws and forecasting in athletic world records.

@article{Carbone2001ScalingLA,
  title={Scaling laws and forecasting in athletic world records.},
  author={Vincenzo Carbone and Sandra Savaglio},
  journal={Journal of sports sciences},
  year={2001},
  volume={19 7},
  pages={477-84}
}
In this study, we analysed running world records and found that the mean speed of the race, mu, as a function of the record time, tau, can be described asymptotically by two well-defined scaling laws of the form mu approximately tau(-beta). There is a break in the scaling laws (approximately 1000 m) between the shorter and the longer races at a characteristic time of around 150-170 s, after which a new scaling regime emerges. This is the first occasion that this characteristic time has been… CONTINUE READING