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Reproduction of Duration: How Should I Count the Ways?

  • Joseph Glicksohn
  • Rotem Leshem
Part of the Lecture Notes in Computer Science book series (LNCS, volume 6789)

Abstract

We take a close look at the task of prospective time reproduction, wherein an individual is aware of the fact that she will subsequently be asked to reproduce a demarked duration. Our participants were either explicitly instructed not to count, or were allowed to count. When participants are allowed to count, their reproductions (R) tend to be a linear function of target duration (D). When instructed not to count, they exhibited a shorter log(R) mean value than those who were allowed to count. Participants not counting are thus less veridical in time estimation. Given that for them β <1, this suggests that subjective time for them is not a linear function of physical time. We further contrast four major indices relating reproduced time to target duration: R/D, D/R, |R − D|, and |R − D|/D. While the D/R ratio score detected the difference between groups; this was not the case for the other measures.

Keywords

Time estimation Time reproduction Psychophysics Ratio score Absolute discrepancy Absolute error 

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References

  1. 1.
    Roeckelein, J.E.: The Concept of Time in Psychology: A Resource Book and Annotated Bibliography. Greenwood Press, Westport (2000)Google Scholar
  2. 2.
    Bindra, D., Waksberg, H.: Methods and Terminology in Studies of Time Estimation. Psychol. Bull. 53, 155–159 (1956)CrossRefGoogle Scholar
  3. 3.
    Blankenship, D.A., Anderson, N.H.: Subjective Duration: A Functional Measurement Analysis. Percept. Psychophys. 20, 168–172 (1976)CrossRefGoogle Scholar
  4. 4.
    Kerns, K.A., McInerney, R.J., Wilde, N.J.: Time Reproduction, Working Memory, and Behavioral Inhibition in Children with ADHD. Child Neuropsychol. 7, 21–31 (2001)CrossRefGoogle Scholar
  5. 5.
    Zakay, D.: The Evasive Art of Subjective Time Measurement: Some Methodological Dilemmas. In: Block, R.A. (ed.) Cognitive Models of Psychological Time, pp. 59–84. Lawrence Erlbaum Associates, Inc., Hillsdale (1990)Google Scholar
  6. 6.
    Rammsayer, T.H.: On the Relationship Between Personality and Time Estimation. Pers. Individ. Differ. 23, 739–744 (1997)CrossRefGoogle Scholar
  7. 7.
    Thomas, E.A.C., Brown Jr, I.: Time Perception and the Filled-Duration Illusion. Percept. Psychophys. 16, 449–458 (1974)CrossRefGoogle Scholar
  8. 8.
    Glicksohn, J., Ron-Avni, R.: The Relationship Between Preference for Temporal Conceptions and Time Estimation. Eur. J. of Cogn. Psychol. 9, 1–15 (1997)CrossRefGoogle Scholar
  9. 9.
    Wackermann, J., Späti, J., Ehm, W.: Individual Response Characteristics in Time Reproduction and Time Production Tasks. In: Monahan, J.S., Sheffert, S.M., Townsend, J.T. (eds.) Fechner Day 2005. Proceedings of the 21st Annual Meeting of the International Society for Psychophysics, pp. 359–364. International Society for Psychophysics, Traverse City (2005)Google Scholar
  10. 10.
    Brown, S.W.: Time, Change, and Motion: The Effects of Stimulus Movement on Temporal Perception. Percept. Psychophys. 57, 105–116 (1995)CrossRefGoogle Scholar
  11. 11.
    Killeen, P.R.: Counting the Minutes. In: Macar, F., Pouthas, V., Friedman, W.J. (eds.) Time, Action and Cognition: Towards Bridging the Gap, pp. 203–214. Kluwer Academic Publishers, Dordrecht (1992)CrossRefGoogle Scholar
  12. 12.
    Poynter, D.: Judging the Duration of Time Intervals: A Process of Remembering Segments of Experience. In: Levin, I., Zakay, D. (eds.) Time and Human Cognition: A Life-Span Perspective, pp. 305–331. Elsevier Science Publishers, Amsterdam (1989)CrossRefGoogle Scholar
  13. 13.
    Carlson, V.R., Feinberg, I.: Time Judgment as a Function of Method, Practice, and Sex. J. Exp. Psychol. 85, 171–180 (1970)CrossRefGoogle Scholar
  14. 14.
    Baudouin, A., Vanneste, S., Isingrini, M., Pouthas, V.: Differential Involvement of Internal Clock and Working Memory in the Production and Reproduction of Duration: A Study on Older Adults. Acta Psychol. 121, 285–296 (2006)CrossRefGoogle Scholar
  15. 15.
    Pouthas, V., Perbal, S.: Time Perception Depends on Accurate Clock Mechanisms as Well as Unimpaired Attention and Memory Processes. Acta Neurobiol. Exp. 64, 367–385 (2004)Google Scholar
  16. 16.
    Burle, B., Casini, L.: Dissociation Between Activation and Attention Effects in Time Estimation: Implications for Internal Clock Models. J. Exp. Psychol.-Hum. Percept. Perform 27, 195–205 (2001)CrossRefGoogle Scholar
  17. 17.
    Casini, L., Macar, F.: Multiple Approaches to Investigate the Existence of an Internal Clock using Attentional Resources. Behav. Processes 45, 73–85 (1999)CrossRefGoogle Scholar
  18. 18.
    Macar, F., Grondin, S., Casini, L.: Controlled Attention Sharing Influences Time Estimation. Mem. Cogn. 22, 673–686 (1994)CrossRefGoogle Scholar
  19. 19.
    Seri, Y., Kofman, O., Shay, L.: Time Estimation Could be Impaired in Male, but not Female Adults with Attention Deficits. Brain Cogn. 48, 553–558 (2002)Google Scholar
  20. 20.
    Fortin, C., Breton, R.: Temporal Interval Production and Processing in Working Memory. Percept. Psychophys. 57, 203–215 (1995)CrossRefGoogle Scholar
  21. 21.
    Rubia, K., Smith, A.: The Neural Correlates of Cognitive Time Management: A Review. Acta Neurobiol. Exp. 64, 329–340 (2004)Google Scholar
  22. 22.
    Lewis, P.A., Miall, R.C.: Remembering the Time: A Continuous Clock. Trends Cogn. Sci. 10, 401–406 (2006)CrossRefGoogle Scholar
  23. 23.
    Lustig, C., Matell, M.S., Meck, W.H.: Not “Just” a Coincidence: Frontal-Striatal Interactions in Working Memory and Interval Timing. Memory 13, 441–448 (2005)CrossRefGoogle Scholar
  24. 24.
    Brown, S.W.: Time Perception and Attention: The Effects of Prospective versus Retrospective Paradigms and Task Demands on Perceived Duration. Percept. Psychophys. 38, 115–124 (1985)CrossRefGoogle Scholar
  25. 25.
    Brown, S.W.: Attentional Resources in Timing: Interference Effects in Concurrent Temporal and Nontemporal Working Memory Tasks. Percept. Psychophys. 59, 1118–1140 (1997)CrossRefGoogle Scholar
  26. 26.
    Rammsayer, T.H., Rammstedt, B.: Sex-Related Differences in Time Estimation: The Role of Personality. Pers. Individ. Differ. 29, 301–312 (2000)CrossRefGoogle Scholar
  27. 27.
    Barkley, R.A., Murphy, K.R., Bush, T.: Time Perception and Reproduction in Young Adults with Attention Deficit Hyperactivity Disorder. Neuropsychology 15, 351–360 (2001)CrossRefGoogle Scholar
  28. 28.
    Angrilli, A., Cherubini, P., Pavese, A., Manfredini, S.: The Influence of Affective Factors on Time Perception. Percept. Psychophys. 59, 972–982 (1997)CrossRefGoogle Scholar
  29. 29.
    Brown, S.W., Boltz, M.G.: Attentional Processes in Time Perception: Effects of Mental Workload and Event Structure. J. Exp. Psychol.-Hum. Percept. Perform. 28, 600–615 (2002)CrossRefGoogle Scholar
  30. 30.
    Gibbon, J., Malapani, C., Dale, C.L., Gallistel, C.R.: Toward a Neurobiology of Temporal Cognition: Advances and Challenges. Curr. Opin. Neurobiol. 7, 170–184 (1997)CrossRefGoogle Scholar
  31. 31.
    Matell, M.S., Meck, W.H.: Cortico-Striatal Circuits and Interval Timing: Coincidence Detection of Oscillatory Processes. Cognit. Brain Res. 21, 139–170 (2004)CrossRefGoogle Scholar
  32. 32.
    Brown, S.W.: Influence of Individual Differences in Temporal Sensitivity on Timing Performance. Perception 27, 609–625 (1998)CrossRefGoogle Scholar
  33. 33.
    Eisler, H.: The Parallel-Clock Model: A Tool for Quantification of Experienced Duration. In: Buccheri, R., Saniga, M., Stuckey, W.M. (eds.) The Nature of Time: Geometry, Physics and Perception, pp. 19–26. Kluwer Academic, Amsterdam (2003)CrossRefGoogle Scholar
  34. 34.
    Wackermann, J.: From Neural Mechanics to the Measure of Subjective Time: The Klepsydra model. In: Oliveira, A.M., Teixara, M., Borges, G.F., Ferro, M.J. (eds.) Fechner Day 2004: Proceedings of the Twentieth Annual Meeting of the International Society for Psychophysics, pp. 164–169. International Society for Psychophysics, Coimbra (2004)Google Scholar
  35. 35.
    Eisler, H.: Time Perception from a Psychophysicist’s Perspective. In: Helfrich, H. (ed.) Time and Mind, pp. 65–86. Hogrefe & Huber, Seattle (1996)Google Scholar
  36. 36.
    Eisler, A.D., Eisler, H., Montgomery, H.: A Quantitative Model for Retrospective Subjective Duration. NeuroQuantology 4, 263–291 (2004)Google Scholar
  37. 37.
    Eisler, H.: Applicability of the Parallel-Clock Model to Duration Discrimination. Percept. Psychophys. 29, 225–233 (1981)CrossRefGoogle Scholar
  38. 38.
    Wackermann, J., Ehm, W.: The Dual Klepsydra Model of Internal Time Representation and Time Reproduction. J. Theor. Biol. 239, 482–493 (2006)CrossRefGoogle Scholar
  39. 39.
    Wackermann, J., Ehm, W., Späti, J.: The ’Klepsydra Model’ of Internal Time Representation. In: Berglund, B., Borg, E. (eds.) Fechner Day 2003: Proceedings of the Nineteenth Annual Meeting of the International Society for Psychophysics, pp. 331–336. International Society for Psychophysics, Larnaca Bay (2003)Google Scholar
  40. 40.
    Glicksohn, J., Hadad, Y.: Sex Differences in Time Production Revisited. J. Individ. Differ. (in press)Google Scholar
  41. 41.
    Wichmann, F.A., Hill, N.J.: The Psychometric Function: I. Fitting, Sampling, and Goodness of Fit. Percept. Psychophys. 63, 1293–1313 (2001)CrossRefGoogle Scholar
  42. 42.
    Eisler, H.: Experiments on Subjective Duration 1868-1975: A Collection of Power Function Exponents. Psychol. Bull. 83, 1154–1171 (1976)CrossRefGoogle Scholar
  43. 43.
    Eisler, A.D., Eisler, H.: Subjective Time in a Patient with Neurological Impairment. Psychologica 28, 193–206 (2001)Google Scholar
  44. 44.
    Wearden, J.H.: ”Beyond the Fields we Know...” Exploring and Developing Scalar Timing Theory. Behav. Processes 45, 3–21 (1999)Google Scholar
  45. 45.
    Wearden, J.H.: Applying the Scalar Timing Model to Human Time Psychology: Progress and Challenges. In: Helfrich, H. (ed.) Time and Mind II: Information-Processing Perspectives, pp. 21–39. Kluwer, Dordrecht (2003)Google Scholar
  46. 46.
    Hinton, S.C., Rao, S.M.: ”One-Thousand One... One-Thousand Two... ” Chronometric Counting Violates the Scalar Property in Interval Timing. Psychon. Bull. Rev. 11, 24–30 (2004)Google Scholar
  47. 47.
    Wearden, J.H.: Do Humans Possess an Internal Clock with Scalar Timing Properties? Learn. Motiv. 22, 59–83 (1991)CrossRefGoogle Scholar
  48. 48.
    Boltz, M.: Time Estimation and Attentional Perspective. Percept. Psychophys. 49, 422–433 (1991)CrossRefGoogle Scholar
  49. 49.
    Fetterman, J.G., Killeen, P.R.: A Componential Analysis of Pacemaker-Counter Timing Systems. J. Exp. Psychol.-Hum. Percept. Perform. 16, 766–780 (1990)CrossRefGoogle Scholar
  50. 50.
    Grondin, S., Meilleur-Wells, G., Lachance, R.: When to Start Explicit Counting in a Time-Intervals Discrimination Task: A Critical Point in the Timing Process of Humans. J. Exp. Psychol.-Hum. Percept. Perform. 25, 993–1004 (1999)CrossRefGoogle Scholar
  51. 51.
    Hinton, S.C., Harrington, D.L., Binder, J.R., Durgerian, S., Rao, S.M.: Neural Systems Supporting Timing and Chronometric Counting: An fMRI Study. Cognit. Brain Res. 21, 183–192 (2004)CrossRefGoogle Scholar
  52. 52.
    Eisler, A.D., Eisler, H., Derwinger, A.: Time Perception in Extravert and Introvert Personalities. In: Guirao, M. (ed.) Procesos Sensoriales y Cognitivos, pp. 371–387. Ediciones Dunken, Argentina (1997)Google Scholar
  53. 53.
    Richards, W.: Time Estimates Measured by Reproduction. Percept. Mot. Skills 18, 929–943 (1964)CrossRefGoogle Scholar
  54. 54.
    Anderson, R.B.: The Power Law as an Emergent Property. Mem. Cogn. 29, 1061–1068 (2001)CrossRefGoogle Scholar
  55. 55.
    Grondin, S.: From Physical Time to the First and Second Moments of Psychological Time. Psychol. Bull. 127, 22–44 (2001)CrossRefGoogle Scholar
  56. 56.
    Dehaene, S.: The Neural Basis of the Weber-Fechner Law: A Logarithmic Mental Number. Trends Cogn. Sci. 7, 145–147 (2003)CrossRefGoogle Scholar
  57. 57.
    Dehaene, S., Izard, V., Spelke, E., Pica, P.: Log or Linear? Distinct Intuitions of the Number Scale in Western and Amazonian Indigene Cultures. Science 320, 1217–1220 (2008)CrossRefzbMATHMathSciNetGoogle Scholar
  58. 58.
    Siegler, R.S., Opfer, J.E.: The Development of Numerical Estimation: Evidence for Multiple Representations of Numerical Quantity. Psychol. Sci. 14, 237–243 (2003)CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • Joseph Glicksohn
    • 1
  • Rotem Leshem
    • 1
  1. 1.Department of Criminology and The Leslie and Susan Gonda (Goldschmied) Multidisciplinary Research CenterBar-Ilan UniversityIsrael

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