“…Importantly, as a dynamical system approaches a phase transition, the constraints among the system's components begin to break down. A number of methods have been proposed as a means of detecting these phase transitions, such as changes in variability and autocorrelation (Dakos, Van Nes, D'Odorico, & Scheffer, 2012), examining shifts in the values to which the system is attracted (Butler, 2011), changes in entropy and power law scaling (Stephen, Boncoddo, Magnuson, & Dixon, 2009;Stephen, Dixon, & Isenhower, 2009), measures of fluctuation (Schiepek & Strunk, 2010), and, more qualitatively, cognitive event analysis (Steffensen, Vall ee-Tourangeau, & Vall ee-Tourangeau, 2016).…”