Hull's early work (1943, 1951) suggested that the relationship between repetition and habit strength follows an asymptotic curve in which automaticity increases steadily—but by a smaller amount with each repetition—until it reaches an asymptote (plateau).
Modelling the habit formation process in individuals allowed us to calculate the time taken for automaticity scores to plateau; operationalized here as time to reach 95% of asymptote. [...] The essential nature of an asymptote—that it is never reached—means it is impossible to assess the time to reach 100% of asymptote, and anything above 95% leads to a very large estimate of time taken because of the shape of the curve. From visual inspection, the points identified using 95% are approximately where the curves appear to reach asymptote, whereas 90% identifies a level clearly below where the curves level off.
Ten of these participants were performing eating behaviours, 15 drinking behaviours and 13 exercise behaviours. The median time to reach 95% of asymptote was 66 days, with a range from 18 to 254 days.
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