Systematic Underreproduction of Time Is Independent of Judgment Certainty

Cortical quantity representations of visual numerosity and timing overlap increasingly into superior cortices but remain distinct

Many sensory brain areas are organized as topographic maps where neural response preferences change gradually across the cortical surface. Within association cortices, 7-Tesla fMRI and neural model-based analyses have also revealed many topographic maps for quantities like numerosity and event timing, often in similar locations. Numerical and temporal quantity estimations also show behavioral similarities and even interactions. For example, the duration of high-numerosity displays is perceived as longer than that of low-numerosity displays. Such interactions are often ascribed to a generalized magnitude system with shared neural responses across quantities. Anterior quantity responses are more closely linked to behavior. Here, we investigate whether common quantity representations hierarchically emerge by asking whether numerosity and timing maps become increasingly closely related in their overlap, response preferences, and topography. While the earliest quantity maps do not overlap, more superior maps overlap increasingly. In these overlapping areas, some intraparietal maps have consistently correlated numerosity and timing preferences, and some maps have consistent angles between the topographic progressions of numerosity and timing preferences. However, neither of these relationships increases hierarchically like the amount of overlap does. Therefore, responses to different quantities are initially derived separately, then progressively brought together, without generally becoming a common representation. Bringing together distinct responses to different quantities may underlie behavioral interactions and allow shared access to comparison and action planning systems.

Reducing the tendency for chronometric counting in duration discrimination tasks

Chronometric counting is a prevalent issue in the study of human time perception as it reduces the construct validity of tasks and can conceal existing timing deficits. Several methods have been proposed to prevent counting strategies, but the factors promoting those strategies in specific tasks are largely uninvestigated. Here, we modified a classical two-interval duration discrimination task in two aspects that could affect the tendency to apply counting strategies. We removed the pause between the two intervals and changed the task instructions: Participants decided whether a short event occurred in the first or in the second half of a reference duration. In Experiment 1, both classical and modified task versions were performed under timing conditions, in which participants were asked not to count, and counting conditions, in which counting was explicitly instructed. The task modifications led to (i) a general decrease in judgment precision, (ii) a shift of the point of subjective equality, and (iii) a counting-related increase in reaction times, suggesting enhanced cognitive effort of counting during the modified task version. Precision in the two task versions was not differently affected by instructed counting. Experiment 2 demonstrates that—in the absence of any counting-related instructions—participants are less likely to engage in spontaneous counting in the modified task version. These results enhance our understanding of the two-interval duration discrimination task and demonstrate that the modifications tested here—although they do not significantly reduce the effectiveness of instructed counting—can diminish the spontaneous tendency to adopt counting strategies.

Negative errors in time reproduction tasks

In time reproduction tasks, the reaction time of motor responses is intrinsically linked to the measure of perceptual timing. Decisions are based on a continuous comparison between elapsed time and a memory trace of the to-be-reproduced interval. Here, we investigate the possibility that negative reproduction errors can be explained by the tendency to prefer earlier over later response times, or whether the whole range of possible response times is shifted. In experiment 1, we directly compared point reproduction (participants indicate the exact time point of equality) and range reproduction (participants bracket an interval containing this time point). In experiment 2, participants indicated, in three separate tasks, the exact time point at which the reproduction phase was equal to the standard duration (point reproduction), the earliest (start reproduction), or the latest moment (stop reproduction) at which the exact time point of equality might have been reached. The results demonstrate that the bias towards earlier responses not only affects reproduction of the exact time point of equality. Rather, even if the decision threshold is changed in favor of late responses, they exhibit a continuous shift towards negative errors that increases with the length of the standard duration. The findings are discussed in the context of the hypothesis that systematic errors in time reproduction tasks reflect a dimension-unspecific tendency towards earlier responses caused by the psychophysical method rather than by a time-specific perceptual distortion.