Abstract
Approaching sensation scientifically is relatively straightforward. There are physical attributes for stimulating the central nervous system, and there are specific receptors for each sense for translating the physical signals into codes that brain will recognize. When studying time though, it is far from obvious that there are any specific receptors or specific stimuli. Consequently, it becomes important to determine whether internal time obeys some laws or principles usually reported when other senses are studied. In addition to reviewing some classical methods for studying time perception, the present chapter focusses on one of these laws, Weber law, also referred to as the scalar property in the field of time perception. Therefore, the question addressed here is the following: does variability increase linearly as a function of the magnitude of the duration under investigation? The main empirical facts relative to this question are reviewed, along with a report of the theoretical impact of these facts on the hypotheses about the nature of the internal mechanisms responsible for estimating time.
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Notes
- 1.
Traditionally in psychophysics, when a psychometric function is used, the distance on the x axis corresponding to 75 and 25 % of “long” responses, divided by 2, is the discrimination threshold.
- 2.
The reader will also find a Weber fraction increase for tempo discrimination, from 1 to 1.4 s, in Ehrlé and Samson [63, Table 5].
References
Vierordt K. Der zeitsinn nach versuchen. Tubingen: Laupp; 1868.
Bolton T. Rhythm. Am J Psychol. 1894;6(2):145–238.
James W. The principles of psychology. New York: Dover; 1890.
Fraisse P. Les structures rythmiques. Louvain: Studia Psychologica; 1956.
Fraisse P. Psychologie du temps. Paris: Presses Universitaires de France; 1957.
Gibbon J, Allan LG, editors. Timing and time perception, vol. 423. New York: New York Academy of Sciences; 1984.
Grondin S. Methods for studying psychological time. In: Grondin S, editor. Psychology of time. Bingley: Emerald Group; 2008. p. 51–74.
Zakay D, Block RA. Temporal cognition. Curr Dir Psychol Sci. 1997;6(1):12–6.
Ornstein R. On the experience of time. New York: Penguin; 1969.
Boltz MG. Effects of event structure on retrospective duration judgments. Percept Psychophys. 1995;57(7):1080–96.
Bisson N, Grondin S. Time estimates of internet surfing and video gaming. Timing Time Percept. 2013;1(1):39–64.
Bisson N, Tobin S, Grondin S. Remembering the duration of joyful and sad musical excerpts. Neuroquantology. 2009;7(1):46–57.
Bisson N, Tobin S, Grondin S. Prospective and retrospective time estimates of children: a comparison based on ecological tasks. PLoS One. 2012;7(3):e33049. http://www.plosone.org/article/info%3Adoi%2F10.1371%2Fjournal.pone.0033049.
Grondin S, Plourde M. Judging multi-minute intervals retrospectively. Q J Exp Psychol. 2007;60(9):1303–12.
Tobin S, Bisson N, Grondin S. An ecological approach to prospective and retrospective timing of long durations: a study involving gamers. PLoS One. 2010;5(2):e9271. http://www.plosone.org/article/info%3Adoi%2F10.1371%2Fjournal.pone.0009271.
Burt CDB. The effect of actual event duration and event memory on the reconstruction of duration information. Appl Cogn Psychol. 1993;7(1):63–73.
Burt CDB, Kemp S. Retrospective duration estimation of public events. Mem Cognit. 1991;19(3):252–62.
Burt CDB. Reconstruction of the duration of autobiographical events. Mem Cognit. 1992;20(2):124–32.
Burt CDB, Kemp S, Conway M. What happens if you retest autobiographical memory 10 years on? Mem Cognit. 2001;29(1):127–36.
Allan LG. The perception of time. Percept Psychophys. 1979;26(5):340–54.
Killeen PR. Counting the minutes. In: Macar F, Pouthas V, Friedman W, editors. Time, action and cognition: towards bridging the gap. Dordrecht: Kluwer; 1992. p. 203–14.
Gibbon J. Scalar expectancy theory and Weber’s law in animal timing. Psychol Rev. 1977;84(3):279–325.
Gibbon J. Origins of scalar timing. Learn Motiv. 1991;22(1):3–38.
Grondin S. Timing and time perception: a review of recent behavioral and neuroscience findings and theoretical directions. Atten Percept Psychophys. 2010;72(3):561–82.
Stevens SS. Psychophysics: introduction to its perceptual, neural and social prospects. New York: Wiley; 1975.
Eisler H. Experiments on subjective duration 1878–1975: a collection of power function exponents. Psychol Bull. 1976;83(6):1154–71.
Rammsayer TH, Grondin S. Psychophysics of human timing. In: Miller RA, editor. Time and the brain. Reading: Harwood Academic; 2000. p. 157–67.
Getty D. Discrimination of short temporal intervals: a comparison of two models. Percept Psychophys. 1975;18(1):1–8.
Killeen PR, Weiss NA. Optimal timing and the Weber function. Psychol Rev. 1987;94(4):455–68.
Creelman CD. Human discrimination of auditory duration. J Acoust Soc Am. 1962;34(5):582–93.
Treisman M. Temporal discrimination and the indifference interval: implications for a model of the “internal clock”. Psychol Monogr. 1963;77(13):1–31.
Grondin S. From physical time to the first and second moments of psychological time. Psychol Bull. 2001;127(1):22–44.
Allan LG, Kristofferson AB. Psychophysical theories of duration discrimination. Percept Psychophys. 1974;16(1):26–34.
Matthews WJ. Can we use verbal estimation to dissect the internal clock? Differentiating the effects of pacemaker rate, switch latencies, and judgment processes. Behav Processes. 2011;86(1):68–74.
Allan LG. The influence of the scalar timing model on human timing research. Behav Processes. 1998;44(2):101–17.
Lejeune H, Wearden JH. Scalar properties in animal timing: conformity and violations. Q J Exp Psychol. 2006;59(11):1875–908.
Wearden J. Applying the scalar timing model to human time psychology: progress and challenges. In: Helfrich H, editor. Time and mind II. Göttingen: Hogrefe & Huber; 2003. p. 21–39.
Balsam PD, Drew MR, Gallistel CR. Time and associative learning. Comp Cogn Behav Rev. 2010;5:1–22.
Gorea A. Ticks per thought or thoughts per tick? A selective review of time perception with hints on future research. J Physiol Paris. 2011;105(4–6):153–63.
Buonomano DV. The biology of time across different scales. Nat Chem Biol. 2007;3(10):594–7.
Buhusi CV, Meck WH. What makes us tick? Functional and neural mechanisms of interval timing. Nat Rev Neurosci. 2005;6(10):755–65.
Mauk MD, Buonomano DV. The neural basis of temporal processing. Annu Rev Neurosci. 2004;27:307–40.
Wackerman J. Inner and outer horizons of time experience. Span J Psychol. 2007;10:20–32.
Merchant H, Zarco W, Prado L. Do we have a common mechanism for measuring time in the hundreds of millisecond range? Evidence from multiple-interval timing tasks. J Neurophysiol. 2008;99(2):939–49.
Grondin S. Unequal Weber fraction for the categorization of brief temporal intervals. Atten Percept Psychophys. 2010;72(5):1422–30.
Grondin S. Violation of the scalar property for time perception between 1 and 2 seconds: evidence from interval discrimination, reproduction, and categorization. J Exp Psychol Hum Percept Perform. 2012;38(4):880–90.
Drake C, Botte MC. Tempo sensitivity in auditory sequences: evidence for a multiple-look model. Percept Psychophys. 1993;54(3):277–86.
Grondin S, McAuley JD. Duration discrimination in crossmodal sequences. Perception. 2009;38(10):1542–59.
Ten Hoopen G, Van Den Berg S, Memelink J, Bocanegra B, Boon R. Multiple-look effects on temporal discrimination within sound sequences. Atten Percept Psychophys. 2011;73(7):2249–69.
Merchant H, Zarco W, Bartolo R, Prado L. The context of temporal processing is represented in the multidimensional relationships between timing tasks. PLoS One. 2008;3(9):e3169. http://www.plosone.org/article/info%3Adoi%2F10.1371%2Fjournal.pone.0003169.
Keele SW, Nicoletti R, Ivry R, Pokorny RA. Mechanisms of perceptual timing: beat-based or interval-based judgements? Psychol Res. 1989;50(4):251–6.
Grube M, Lee KH, Griffiths TD, Barker AT, Woodruff PW. Transcranial magnetic theta-burst stimulation of the human cerebellum distinguishes absolute, duration-based from relative, beat-based perception of subsecond time intervals. Front Psychol. 2010;1:171. http://www.frontiersin.org/Journal/10.3389/fpsyg.2010.00171/abstract.
Grube M, Cooper FE, Chinnery PF, Griffiths TD. Dissociation of duration-based and beat-based auditory timing in cerebellar degeneration. Proc Natl Acad Sci U S A. 2010;107(25):11597–601.
Teki S, Grube M, Kumar S, Griffiths TD. Distinct neural substrates of duration-based and beat-based auditory timing. J Neurosci. 2011;31(10):3805–12.
Bangert AS, Reuter-Lorenz PA, Seidler RD. Dissecting the clock: understanding the mechanisms of timing across tasks and temporal intervals. Acta Psychol (Amst). 2011;136(1):20–34.
Grondin S, Ouellet B, Roussel MÈ. Benefits and limits of explicit counting for discriminating temporal intervals. Can J Exp Psychol. 2004;58(1):1–12.
Grondin S, Killeen PR. Tracking time with song and count: different weber functions for musicians and non-musicians. Atten Percept Psychophys. 2009;71(7):1649–54.
Hinton SC, Rao SM. “One thousand-one … one-thousand-two …”: chronometric counting violates the scalar property in interval timing. Psychon Bull Rev. 2004;11(1):24–30.
Grondin S, Killeen S. Effects of singing and counting during successive interval productions. Neuroquantology. 2009;7(1):77–84.
Bizo LA, Chu JYM, Sanabria F, Killeen PR. The failure of Weber’s law in time perception and production. Behav Processes. 2006;71(2):201–10.
Halpern AR, Darwin CJ. Duration discrimination in a series of rhythmic events. Percept Psychophys. 1982;31(1):86–9.
Grondin S. Duration discrimination of empty and filled intervals marked by auditory and visual signals. Percept Psychophys. 1993;54(3):383–94.
Ehrlé N, Samson S. Auditory discrimination of anisochrony: influence of the tempo and musical backgrounds of listeners. Brain Cogn. 2005;58(1):133–47.
Grondin S, Meilleur-Wells G, Lachance R. When to start explicit counting in time-intervals discrimination task: a critical point in the timing process of humans. J Exp Psychol Hum Percept Perform. 1999;25(4):993–1004.
Fraisse P. Time and rhythm perception. In: Carterette E, Friedman M, editors. Handbook of perception VIII. New York: Academic; 1978. p. 203–54.
Woodrow H. The reproduction of temporal intervals. J Exp Psychol. 1930;13(6):479–99.
Stott LH. The discrimination of short tonal durations. Unpublished doctoral dissertation, University of Illinois at Urbana; 1933.
Grondin S. Studying psychological time with Weber’s law. In: Buccheri R, Saniga M, Stuckey M, editors. The nature of time: geometry, physics and perception. Dordrecht: Kluwer; 2003. p. 33–41.
Grondin S. Discriminating time intervals presented in sequences marked by visual signals. Percept Psychophys. 2001;63(7):1214–28.
Madison G. Variability in isochronous tapping: higher order dependencies as a function of intertap interval. J Exp Psychol Hum Percept Perform. 2001;27(2):411–21.
Gibbon J, Malapani C, Dale CL, Gallistel C. Toward a neurobiology of temporal cognition: advances and challenges. Curr Opin Neurobiol. 1997;7(2):170–84.
Meck WH, editor. Functional and neural mechanisms of interval timing. Boca Raton: CRC; 2003.
Hinton SC, Harrington DL, Binder JR, Durgerian S, Rao SM. Neural systems supporting timing and chronometric counting: an FMRI study. Brain Res Cogn Brain Res. 2004;21(2):183–92.
Grondin S. Production of time intervals from segmented and nonsegmented inputs. Percept Psychophys. 1992;52(3):345–50.
Crystal JD. Nonlinearities to sensitivity to time: implications for oscillator-based representations of interval and circadian clocks. In: Meck WH, editor. Functional and neural mechanisms of interval timing. Boca Raton: CRC; 2003. p. 61–75.
Crystal JD. Sensitivity to time: implications for the representation of time. In: Wasserman EA, Zentall TR, editors. Comparative cognition: experimental explorations of animal intelligence. New York: Oxford University Press; 2006. p. 270–84.
Cowan N. The magical number 4 in short-term memory: a reconsideration of mental storage capacity. Behav Brain Sci. 2001;24(1):87–185.
Miller GA. The magical number seven, plus or minus two: some limits on our capacity for processing information. Psychol Rev. 1956;63(2):81–97.
Gilden DL, Marusich LR. Contraction of time in attention-deficit hyperactivity disorder. Neuropsychology. 2009;23(2):265–9.
Grondin S. A temporal account of the limited processing capacity. Behav Brain Sci. 2001;24(1):122–3.
Lavoie P, Grondin S. Information processing limitations as revealed by temporal discrimination. Brain Cogn. 2004;54(3):198–200.
Michon J. The making of the present: a tutorial review. In: Requin J, editor. Attention and performance VII. Hillsdale: Erlbaum; 1978. p. 89–111.
Pöppe E. A hierarchical model of temporal perception. Trends Cogn Sci. 1997;1(2):56–61.
Grondin S, Rousseau R. Judging the relative duration of multimodal short empty time intervals. Percept Psychophys. 1991;49(3):245–56.
Jones MR, Boltz MG. Dynamic attending and responses to time. Psychol Rev. 1989;96(3):459–91.
Karmarkar UR, Buonomano DV. Timing in the absence of clocks: encoding time in neural network states. Neuron. 2007;53(3):427–38.
Rammsayer TH. Neuropharmacological approaches to human timing. In: Grondin S, editor. Psychology of time. Bingley: Emerald Group; 2008. p. 295–320.
Rammsayer TH, Lima SD. Duration discrimination of filled and empty auditory intervals: cognitive and perceptual factors. Percept Psychophys. 1991;50(6):565–74.
Zelaznik HN, Spencer RMC, Ivry RB. Dissociation of explicit and implicit timing in repetitive tapping and drawing movements. J Exp Psychol Hum Percept Perform. 2002;28(3):575–88.
Zelaznik HN, Spencer RMC, Ivry RB. Behavioral analysis of human movement timing. In: Grondin S, editor. Psychology of time. Bingley: Emerald Group; 2008. p. 233–60.
Matell MS, Meck WH. Cortico-striatal circuits and interval timing: coincidence detection of oscillatory processes. Brain Res Cogn Brain Res. 2004;21(2):139–70.
Evans JSBT. Dual-processing accounts of reasoning, judgment, and social cognition. Annu Rev Psychol. 2008;59:255–78.
Acknowledgement
This research program conducted by the author is supported by research grants from the Natural Sciences and Engineering Council of Canada since 1991. I would like to thank Emi Hasuo and Vincent Laflamme for their comments on the text or help with the figures.
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Grondin, S. (2014). About the (Non)scalar Property for Time Perception. In: Merchant, H., de Lafuente, V. (eds) Neurobiology of Interval Timing. Advances in Experimental Medicine and Biology, vol 829. Springer, New York, NY. https://doi.org/10.1007/978-1-4939-1782-2_2
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