scholarly journals Controlling for temporal discounting shifts rats from geometric to human-like arithmetic bisection

2018 ◽  
Author(s):  
Charles D Kopec ◽  
Carlos D Brody

AbstractHow our brains measure the passage of time is still largely open for debate. One behavioral task commonly used to study how durations are perceived is the Temporal Bisection Task, in which subjects categorize time durations as either “short” or “long.” The duration equally likely to be categorized as short or long is known as the bisection point. It has been consistently demonstrated that for humans, the bisection point is near the arithmetic mean of the longest and shortest durations the subject was trained on. In contrast, for non-human subjects it has been consistently found near the geometric mean. This difference implies that humans may process or represent temporal durations differently than other species. Here we present a behavioral model that reconciles the differences by demonstrating that rats’ performance on this task is driven not only by their noisy estimates of duration, but also by the temporally-discounted value of future rewards. The model correctly predicts shifts in the bisection point induced by unequal rewards and explains otherwise-paradoxical psychometric reversals documented three decades ago. Furthermore, as predicted by the model, we found that modifying the Temporal Bisection Task to eliminate the temporally-discounted reward component shifted the rats’ bisection point from the geometric mean to the arithmetic mean, thus bringing the rat results into line with the human results. We therefore propose that humans and rats (and perhaps other non-human subjects as well) process temporal information similarly, and that the difference between them in the Temporal Bisection Task may be simply due to rats weighing temporal discounting of future rewards more strongly than humans.


1996 ◽  
Vol 49 (1b) ◽  
pp. 24-44 ◽  
Author(s):  
J.H. Wearden ◽  
A. Ferrara

Two experiments with human subjects, using short-duration tones as stimuli to be judged, investigated the effect of the range of the stimulus set on temporal bisection performance. In Experiment 1, six groups of subjects were tested on a temporal bisection task, where each stimulus had to be classified as “short” or “long”. For three groups, the difference between the longest (L) and shortest (S) durations in the to-be-bisected stimulus set was kept constant at 400 msec, and the L / S ratio was varied over values of 5:1 and 2:1. For three other groups, the L/S ratio was kept constant at 4:1 but the L-S difference varied from 300 to 600 msec. The bisection point (the stimulus value resulting in 50% “long” responses) was located closer to the arithmetic mean of L and S than the geometric mean for all groups except that for which the L / S ratio was 2:1, in which case geometric mean bisection was found. In Experiment 2, stimuli were spaced between L and S either linearly or logarithmically, and the L / S ratio took values of either 2:1 or 19:1. Geometric mean bisection was found in both cases when the L / S ratio was 2:1, but effects of stimulus spacing were found only when the L / S ratio was 19:1. Overall, the results supported a previous conjecture that the L / S ratio used in a bisection task played a critical role in determining the behaviour obtained. A theoretical model of bisection advanced by Wearden (1991) dealt appropriately with bisection point shifts discussed above but encountered difficulties with stimulus spacing effects.



2002 ◽  
Vol 55 (3b) ◽  
pp. 193-211 ◽  
Author(s):  
Sylvie Droit-Volet ◽  
John Wearden

Children of 3, 5, and 8 years of age were trained on a temporal bisection task where visual stimuli in the form of blue circles of 200 and 800 ms or 400 and 1600 ms duration, preceded by a 5-s white circle, served as the short and long standards. Following discrimination training between the standards, stimuli in the ranges 200-800 ms or 400-1600 ms were presented with the white circle either constant or flickering. Relative to the constant white circle, the flicker (1) increased the proportion of “long” responses (responses appropriate to the long standard), (2) shifted the psychophysical functions to the left, (3) decreased bisection point values, at all ages, and (4) did not systematically affect measures of temporal sensitivity, such as difference limen and Weber ratio. The results were consistent with the idea that the repetitive flicker had increased the speed of the pacemaker of an internal clock in children as young as 3 years. The “pacemaker speed” interpretation of the results was further strengthened by a greater effect of flicker in the 400/1600-ms condition than in the 200/800-ms condition.



2019 ◽  
Vol 45 (1) ◽  
pp. 75-94 ◽  
Author(s):  
Renata Cambraia ◽  
Marco Vasconcelos ◽  
Jérémie Jozefowiez ◽  
Armando Machado


2012 ◽  
Vol 98 (1) ◽  
pp. 23-44 ◽  
Author(s):  
Marilia Pinheiro de Carvalho ◽  
Armando Machado


i-Perception ◽  
2018 ◽  
Vol 9 (2) ◽  
pp. 204166951876062
Author(s):  
Shuhei Shima ◽  
Yuki Murai ◽  
Kenichi Yuasa ◽  
Yuki Hashimoto ◽  
Yuko Yotsumoto

In recent years, several studies have reported that the allocation of spatial attention fluctuates periodically. This periodic attention was revealed by measuring behavioral performance as a function of cue-to-target interval in the Posner cueing paradigm. Previous studies reported behavioral oscillations using target detection tasks. Whether the influence of periodic attention extends to cognitively demanding tasks remains unclear. To assess this, we examined the effects of periodic attention on the perception of duration. In the experiment, participants performed a temporal bisection task while a cue was presented with various cue-to-target intervals. Perceived duration fluctuated rhythmically as a function of cue-to-target interval at a group level but not at an individual level when the target was presented on the same side as the attentional cue. The results indicate that the perception of duration is influenced by periodic attention. In other words, periodic attention can influence the performance of cognitively demanding tasks such as the perception of duration.



2020 ◽  
pp. 1-21 ◽  
Author(s):  
Quentin Hallez ◽  
Sylvie Droit-Volet

The aim of this study was to identify the age at which parameters of timing performance in a temporal bisection task converge on an adult-like stable level. Participants in the three- to 20-year-old range were tested using a temporal bisection task with sub-second and supra-second durations. The data were divided into two samples. In the first sample, all participants were integrated into the analysis regardless of their success. In the second sample, only performers were inserted. The point of subjective equality (PSE) and the Weber Ratio (WR) were analyzed for each participant in each sample. By fitting a mathematical model to these parameters as a function of age, we showed a large inter-individual variability in the PSE, such that it does not stabilize with increasing age, i.e., during the significant period of development. Interestingly, time sensitivity (WR) shows a similar pattern through the two samples as adult-like performance appeared at an earlier age for short than for long durations. For the first sample, the modeling of WR data suggests that the children reached an adult-like time sensitivity at the age of six years for the short durations and 8½ years for the long durations. For the second sample, the developmental curve was stable at about the same age for the long duration (seven years), and at earlier age for the short durations, i.e., before three years.



1995 ◽  
Vol 1 (2) ◽  
pp. 251-330 ◽  
Author(s):  
A.D. Wilkie

ABSTRACTThe risk premium on ordinary shares is investigated, by studying the total returns on ordinary shares, and on both long-term and short-term fixed-interest investments over the period 1919 to 1994, and by analysing the various components of that return. The total returns on ordinary shares exceeded those on fixed-interest investments by over 5% p.a. on a geometric mean basis and by over 7% p.a. on an arithmetic mean basis, but it is argued that these figures are misleading, because most of the difference can be accounted for by the fact that price inflation turned out to be about 4.5% p.a. over the period, whereas investors had been expecting zero inflation.Quotations from contemporary authors are brought forward to demonstrate what contemporary attitudes were. Simulations are used along with the Wilkie stochastic asset model to show what the results would be if investors make various assumptions about the future, but the true model turns out to be different from what they expected. The differences between geometric means of the data and arithmetic means are shown to correspond to differences between using medians or means of the distribution of future returns, and it is suggested that, for discounting purposes, medians are the better measure.



2016 ◽  
Vol 42 (1) ◽  
pp. 67-81 ◽  
Author(s):  
Marilia Pinheiro de Carvalho ◽  
Armando Machado ◽  
François Tonneau


2015 ◽  
Vol 68 (2) ◽  
pp. 381-401 ◽  
Author(s):  
Filiz Çoşkun ◽  
Zeynep Ceyda Sayalı ◽  
Emine Gürbüz ◽  
Fuat Balcı

In the temporal bisection task, participants categorize experienced stimulus durations as short or long based on their similarity to previously acquired reference durations. Reward maximization in this task requires integrating endogenous timing uncertainty as well as exogenous probabilities of the reference durations into temporal judgements. We tested human participants on the temporal bisection task with different short and long reference duration probabilities (exogenous probability) in two separate test sessions. Incorrect categorizations were not penalized in Experiment 1 but were penalized in Experiment 2, leading to different levels of stringency in the reward functions that participants tried to maximize. We evaluated the judgements within the framework of optimality. Our participants adapted their choice behaviour in a nearly optimal fashion and earned nearly the maximum possible expected gain they could attain given their level of endogenous timing uncertainty and exogenous probabilities in both experiments. These results point to the optimality of human temporal risk assessment in the temporal bisection task. The long categorization response times (RTs) were overall faster than short categorization RTs, and short but not long categorization RTs were modulated by reference duration probability manipulations. These observations suggested an asymmetry between short and long categorizations in the temporal bisection task.



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