On the presence and absence of behavioural traits in sport: An example from championship squash match-play

Here we report two experiments that analysed sport (squash) competition as a non-linear system that transits intermittently between different behavioural states. The first experiment involved a perceptual analysis of 60 rallies in which stable behaviour and unstable behaviour, delineated by behavioural transitions (i.e. shot perturbations), were reliably (kappa=0.930) and validly (kappa=0.844) identified by independent observers. In addition, experts were better than non-experts at identifying the type of system behaviour (P<0.01). These results provide for three alternative descriptions: (a) the system is multi-stable and transits between states via the mechanism of instability; (b) the system is bi-stable and abruptly transits between two states, labelled stable and unstable; or (c) the system is mono-stable and displays variability, marked by transient instability, as a result of system perturbations. The second experiment analysed squash behaviour as expressed in the phase relation between the two players from time-motion analysis. The data, from four rallies, yielded evidence of a tight anti-phase coupling with transient phase shifts, or perturbations, that were quickly damped. These data suggest a mono-stable system with a single (anti-phase) attractor onto which system fluctuations are occasionally written. However, these fluctuations failed to correspond with the short perturbations that were identified from perceptual analysis. Together, these results affirm the presence of transient behaviours in squash match-play, although the information that forms these perceptual judgements has yet to be identified.