“…When Pierce and I subsequently plotted the derived response time surface, it suggested that there are formal sequential dependencies in the stream of vigilance in which the propensities for hit, miss, false alarm, and correct rejection, respectively, follow lawfully upon one another, contingent, of course, also on the stream of objective stimuli presented. These sequential dependencies can be modeled approximately as a cusp catastrophe (see Guastello, 2014, Figure 1). In the case of vigilance, in which the vast number of responses prove to be correct rejections of nontarget events, the response time goes down (i.e., improves) across the period on watch, whereas for false alarms, the complement of correct rejections, the response time increases (i.e., degrades).…”