Rats received delay conditioning procedures with a white-noise conditioned stimulus (CS), a food unconditioned stimulus (US),and head entries into the food cup as the conditioned response. The stimulus duration (S) and the interval between food deliveries (C) were varied between groups: S =15,30, 60, and 120 sec; C =90, 180,and 360 sec. The stimulus/cycle duration ratio was negatively related to the asymptotic level of conditioning but had no effect on the rate of acquisition. Conditioning and timing of responses emerged together in training. Timingoccurred during the CS-US interval (lSI) and the US-US interval (ITI),as evidenced by increasing response rate gradients that were steeper for shorter intervals. The effects of the stimulus/cycle ratio on conditioning were attributed to independent timing of the S and C durations. Serial-, parallel-, and single-process accounts of conditioning and timing are compared. Because the total expectation (H) is the same during the stimulus (S) and cycle (C), the expectation densities (h s and he) are inversely related to the durations of the intervals (stimulus or cycle). The decision ofwhether to respond to a given stimulus is determined by the value of the ratio of the heights of the two expectation densities:If r exceeds a threshold, b, then responding will emerge to the stimulus.actually used the cycle/stimulus ratio, which resulted in an inverse relationship with cycles to acquisition criterion.) Recent studies have also reported the SIC ratio effect in a goal-tracking paradigm in rats (Holland, 2000;Lattal, 1999). To explain the SIC ratio effect on conditioning, Gibbon and Balsam (1981; and, later, Gallistel & Gibbon, 2000) proposed a two-stage model in which acquisition of conditioned responding to a stimulus (anincrease in the rate or probability of responding during the stimulus as a function of training) occurred first and timing of the stimulus duration (an increase in the rate or probability of responding over the duration of the stimulus) occurred much later.In the conditioning mechanism proposed by Gibbon and Balsam (1981), a given reinforcer supports a certain total expectancy, H, that is spread uniformly over the duration of the stimulus and over the duration of the cycle.
This creates expectation densities for the stimulus (h s ) and cycle (he):Two temporal variables that affect the acquisition of conditioned responding in a delay conditioning procedure are the stimulus duration (the interval from conditioned stimulus [CS] onset to unconditioned stimulus [US] delivery) and the cycle duration (the time between successive US deliveries). The strength and rate of conditioning are inversely related to stimulus duration in several paradigms, including nictitating membrane in