Impulsive choice
Figure 1 displays the proportion of LL choices as a function of SS delay for the two groups during the pre- and post-intervention tasks. The FI group made more self-controlled choices than their ND control counterparts across the SS delays in the post-intervention impulsive choice task, though both groups made fewer LL choices at the 20-s delay in the post-intervention task compared to pre-intervention. The regression model included random effects of intercept and pre/post. Overall, there was a significant increase in LL choices as a function of SS delay, t(34,001) = 87.59, p < .001, b = 8.86 [8.66, 9.05]. There was also a significant Group × Pre/Post interaction t(34,001) = − 2.20, p = .028, b = − 0.37 [− 0.69, − 0.04]. As seen in Fig. 1, the group × Pre/Post interaction demonstrates that the two groups exhibited similar LL choice preference prior to the intervention at the 0-s intercept (bND = − 4.17, bFI = − 4.23), but the ND group made significantly fewer LL choices than the FI group at the 0-s intercept post-intervention (bND = − 3.75, bFI = − 2.33). The Group × Pre/Post × SS Delay interaction was also significant, t(34,001) = 2.67, p = .008, b = 0.27 [0.07, 0.47], and indicated that although the two groups exhibited similar slopes pre-intervention (bND = 10.32, bFI = 10.62), the FI group exhibited a shallower post-intervention slope (bFI = 6.86) compared to the ND group (bND = 7.64). This was due to the FI group’s elevated LL choices at the two shortest SS delays post-intervention. Both groups also had flatter slopes in the post-intervention task due to reduced LL choices at the 20-s delay.
Peak timing
Figure 2 displays responses per minute as a function of time in the SS and LL peak trials for the two groups during the pre- and post-intervention testing at each of the SS delays. As seen in the figure, the peak response rates generally increased during the post-intervention phase compared to the pre-intervention phase, and often were sharper. To further characterize the peak functions, the parameters from the fits of the peak functions were analyzed. Figure 3 shows the mean SS and LL peak times (a, b), peak spreads (c, d), and peak rates (e, f) for each group as a function of SS delay for the SS (a, c, and e) and LL lever (b, d, and f) before (pre) and after (post) the temporal intervention. For all models analyzing SS timing, the random effects structure included intercept, and for LL timing, the random effects structure included intercept and pre/post.
SS peak time
As seen in Fig. 3a, there was the expected increase in SS peak times with increases in SS delay, t(136) = 25.95, p < .001, b = 2.15 [1.98, 2.31], indicating that the rats learned the SS delay. There was also a significant decrease in SS peak time from the pre- to post-intervention phases, t(136) = − 3.65, p < .001, b = − 0.06 [− 0.10, − 0.03]. This effect was largely driven by improved timing of the 5-s delay, bpre = 7.8 s, bpost = 5.8 s, with post-intervention peak times closer to 5 s. The slope of the SS peak time as a function of SS delay was also steeper in the post-intervention phase compared to the pre-intervention phase for both groups, Pre/Post × SS Delay interaction, t(136) = 2.69, p = .008, b = 0.22 [0.06, 0.39], indicating increased sensitivity to changes in SS delay following the intervention. As this interaction was not moderated by group, these results indicate that the Pre/Post × SS Delay interaction on SS peak times was more likely driven by additional experience with the task.
SS peak spread
As in the peak time analysis, there was no main effect of group or interactions involving group (Fig. 3c), but there was an increase in peak spread as a function of SS delay, t(136) = 18.27, p < .001, b = 1.48 [1.32, 1.63], and a decrease in peak spread following the intervention phase, t(136) = − 7.95, p < .001, b = − 0.14 [− 0.17, − 0.10]. There was also a significant Pre/Post × SS Delay interaction on SS peak spreads, t(136) = 4.36, p < .001, b = 0.35 [0.19, 0.51], which was due to shallower slopes during the pre-intervention testing.
SS peak rate
SS peak rates significantly increased following the intervention (Fig. 3e), t(136) = 8.74, p < .001, b = 0.16 [0.12, 0.20]. Additionally, there was a significant Pre/Post × SS Delay interaction on SS peak rates, t(136) = − 2.26, p = .025, b = − 0.20 [− 0.37, − 0.02], in which there was an increase in peak rates with SS delay pre-intervention, but a decrease in peak rates with SS delay post-intervention. Overall, exposure to the intervention did not moderate SS peak timing measures of accuracy, precision, and rate.
LL peak time
On the LL lever, peak times were relatively constant (Fig. 3b), which is unsurprising, as the LL delay did not change throughout the experiment. There was a significant decrease in LL peak times post-intervention, t(136) = − 2.34, p = .021, b = − 0.04 [− 0.08, − 0.01], but there was no effect of group on LL peak times. Additionally, there was a significant Pre/Post × SS Delay interaction on LL peak times, t(136) = 3.60, p < .001, b = 0.23 [0.10, 0.36], in that peak times decreased slightly as a function of SS delay in the pre-intervention task but increased slightly as a function of SS delay in the post-intervention task. This likely reflects learning the LL delay in the pre-intervention testing then re-adapting to the LL delay in the post-intervention testing.
LL peak spread
There was no main effect of group or interactions involving group on LL peak spreads (Fig. 3d). LL peak spreads decreased significantly with SS delay, t(136) = − 4.22, p < .001, b = − 0.33 [− 0.48, − 0.17], and post-intervention, t(136) = − 6.05, p < .001, b = − 0.16 [− 0.21, − 0.11], likely reflecting increased experience with the interval (i.e., more experience resulting in greater precision). Moreover, there was a significant Pre/Post × SS Delay interaction, t(136) = 4.73, p < .001, b = 0.37 [0.21, 0.52], which was primarily driven by wider LL peak spreads during the pre-intervention exposure to the 5-s SS delay (i.e., the first phase of the experiment during which the rats were first exposed to and first learning the LL delay).
LL peak rate
LL peak rates increased significantly with SS delay (Fig. 3f), t(136) = 4.50, p < .001, b = 0.29 [0.16, 0.42], and post-intervention, t(136) = 6.79, p < .001, b = 0.17 [0.12, 0.22], also reflecting greater experience with the interval. Analysis also revealed a significant Pre/Post × SS Delay interaction, t(136) = − 5.05, p < .001, b = − 0.32 [− 0.45, − 0.20], such that the increase in LL peak rates with SS delay was steeper pre-intervention. Interestingly, while both groups exhibited similar peak rates across SS delays on the LL lever prior to the intervention, the groups diverged post-intervention. Specifically, there was a significant Group × Pre/Post interaction, t(136) = 2.96, p = .004, b = 0.08 [0.03, 0.13], in which the FI group showed higher response rates around the expected time of LL reward than the ND group post-intervention (bND = 4.68, bFI = 4.94).
Temporal bisection
The final model included a random intercept. Figure 4 shows the proportion of long lever responses as a function of signal duration. At the geometric mean of 6.93 s, the FI group (0.41 ± 0.02) was more likely to report the signal as long compared to the ND group (0.38 ± 0.02), t(2592) = 2.48, p = .013, b = 0.16 [0.03, 0.28]. This is consistent with the pattern in Fig. 4 of the FI group showing increased long choices at the geometric mean relative to the ND group. In addition, the FI group was closer to indifference at the geometric mean than the ND group (bFI = − 0.20, bND = − 0.51), indicating that they reached their point of indifference closer to the geometric mean. Tests of the group differences at the two anchor durations revealed that the FI group produced more long responses at the 4-s duration (FI = 0.21 ± 0.02; ND = 0.08 ± 0.01), t(2592) = 2.83, p = .005, b = 0.27 [0.08, 0.46], but there were no differences at the 12-s duration (FI = 0.88 ± 0.02, ND = 0.85 ± 0.02), t(2592) = − 0.37, p = .709, b = − 0.05 [− 0.29, 0.20]. There also was a significant increase in long responses with increases in signal duration, t(2592) = 22.03, p < .001, b = 6.03 [5.49, 6.56]. There was no Group × Signal Duration interaction.
PI task
The best-fitting model for the response rates included a random intercept. There were significant effects of PI increment, t(8025) = 4.64, p < .001, b = 0.26 [0.15, 0.37], PI duration, t(8025) = − 23.00, p < .001, b = − 2.07 [− 2.25, − 1.90], and Group × PI Duration t(8025) = − 3.97, p < .001, b = − 0.36 [− 0.53, − 0.18]. Figure 5 shows the nature of the significant Group × PI Duration interaction. Although both groups had similar response rates during the first PI duration, the FI group decreased their rate of responding more quickly across the PI durations within each PI increment, such that the response rates of the ND and FI groups diverged as the PI duration increased.
The regression model of the median response times included a random intercept and a random slope of PI duration. The median response time results are displayed in Fig. 6. Significant effects included main effects of PI increment t(7964) = 19.77, p < .001, b = 2.05 [1.85, 2.26], and PI duration, t(7964) = 81.93, p < .001, b = 18.65 [18.20, 19.09], as well as a PI Increment × PI Duration interaction, t(7964) = − 27.40, p < .001, b = − 6.21 [− 6.66, − 5.77]. These results indicate that both groups tracked the durations across PI increments similarly.
Exploratory body weight analysis
Given that body weight is related to impulsive choice behavior in humans (e.g., Weller et al. 2008; Rasmussen et al. 2010), an exploratory analysis was conducted on the impulsive choice data to determine if the body weights contributed to choice behavior as well as to the efficacy of the behavioral intervention. Animals were weighed at least 6 days each week, and their percentage of free-feeding body weight was used in this analysis. The final model of this analysis included a four-way interaction of Group × Pre/Post × SS Delay × Body Weight (with all lower interactions and main effects) and random effects of intercept and pre/post. There were several significant interactions involving body weight, Group × Pre/Post × Body Weight: t(33,993) = − 8.44, p < .001, b = − 0.13 [− 0.16, − 0.10]; Group × SS Delay × Body Weight: t(33,993) = − 3.77, p < .001, b = − 0.10 [− 0.15, − 0.05]; and Pre/Post × SS Delay × Body Weight: t(33,993) = 6.02, p < .001, b = 0.16 [0.10, 0.21]. These results indicate effects of body weight on impulsive choice behavior and receptivity to the FI intervention. Other significant effects included Group × Pre/Post × SS Delay: t(33,993) = 2.23, p = .025, b = 0.25 [0.03, 0.48]; SS Delay × Body Weight: t(33,993) = 3.49, p < .001, b = 0.09 [0.04, 0.14]; Group × Body Weight: t(33,993) = 5.87, p < .001, b = 0.09 [0.06, 0.12]; Pre/Post × SS Delay: t(33,993) = 15.63, p < .001, b = 1.78 [1.55, 2.00], Body Weight: t(33,993) = 2.82, p = .005, b = 0.04 [0.01, 0.08]; SS Delay: t(33,993) = 79.79, p < .001, b = 9.08 [8.85, 9.30]; and Pre/Post: t(33,993) = − 3.22, p = .001, b = − 0.56 [− 0.91, − 0.22].
Figure 7 displays the Group × Pre/Post × Body Weight interaction, which provides the clearest insight into a possible role of body weight on impulsive choice. To aid in visualization and simplification of data patterns, the rats were grouped, for display purposes only, by their average percentages of free-feeding body weight. These groups distributed the number observations somewhat evenly (N < 84% = 9591, N84–87% = 10,832, N > 87% = 13,586) and naturally separated the individuals near the target food restriction of 85% (84–87%), individuals lighter than the 85% target (< 84%), and individuals that remained heavier than the 85% target (> 87%). It is worth noting that rats fluctuated in weight throughout the experiment, and therefore, did not always fall into the same weight category for both pre- and post-intervention. Because we wanted to measure the effect of the body weight during the current phase on choice in that phase, this issue was dealt with by including a random effect of pre/post. As seen in Fig. 7, body weight contributed to impulsive choice behavior and the effects of the FI intervention. The intervention did not promote LL choices in the lightest rats (Fig. 7a), but had a large effect in reducing impulsive choice in the middle-weight rats (Fig. 7b). Finally, the trend towards increased impulsivity in the ND control group was driven by the heaviest rats in that group. In this weight-range, the FI behavioral interventions staved off the tendency toward increased impulsivity in heavier female rats during the post-intervention choice test (Fig. 7c).