Gender and performance in athletics

A comparison of women's and men's performance in swimming, running, and skating is made based on available world record data. The ratio of women's to men's record times is analyzed as a time series, and the asymptotic value of this ratio is discussed in the context of a model. "Rate of improvement curves" are defined over time and by event in a given sport and are compared across gender. The relationship of record time to event distance is estimated and also analyzed across event and gender boundaries. We make three conclusions: 1. The rate of improvement for women has been extraordinary and is larger for longer distance vents. 2. Law-like relations emerge for record times and event lengths. These relations have interesting physical interpretations when examined for various sports. 3. The male physiology is more suited to anaerobic strength events while, given increased access and participation, women can be expected to be more on a par with men in some long-distance aerobic events.