Time, Space, and Short-Term Memory

This article describes a linear timekeeping system that can account for four main results from the human time-production literature: (1) Variability of interresponse intervals (IRIs) in repetitive finger-tapping tasks increases with mean IRI; (2) The difference between mean and required IRI is a roughly sinusoidal function of required IRI (the "oscillator signature"); (3) The function relating standard deviation of IRI to relative phase, phi, in bimanual tapping has minima at relative phases of 0, 0.5, and 1, and maxima close to 0.5 (the "seagull" effect); (4) In the production of polyrhythms, the ratios that can be produced get "simpler" as response frequency increases. It is shown that all these phenomena can be accounted for with a linear timekeeper model. The model is rendered spatially with delay lines whose lengths provide a basis for varying time intervals. The model makes new predictions about timing, provides an account of time perception and time production, and predicts the existence of short-term memory.

[1]  Peter J. Beek,et al.  Multifrequency coordination in bimanual tapping: Asymmetrical coupling and signs of supercriticality. , 1995 .

[2]  M. T. Turvey,et al.  ‘Clock’ and ‘motor’ components in absolute coordination of rhythmic movements , 1989, Neuroscience.

[3]  Andras Semjen,et al.  On the Timing Basis of Bimanual Coordination in Discrete and Continuous Tasks , 2002, Brain and Cognition.

[4]  J A Kelso,et al.  Dynamic pattern generation in behavioral and neural systems. , 1988, Science.

[5]  Jeff Pressing,et al.  Cognitive multiplicity in polyrhythmic pattern performance. , 1996 .

[6]  R. Church,et al.  Categorical time production: Evidence for discrete timing in motor control , 1992, Perception & psychophysics.

[7]  Alan M. Wing The uncertain motor system: perspectives on the variability of movement , 1993 .

[8]  A. Wing 28 The Long and Short of Timing in Response Sequences , 1980 .

[9]  Shaffer Lh Rhythm and timing in skill. , 1982 .

[10]  R. Ivry,et al.  Perception and production of temporal intervals across a range of durations: evidence for a common timing mechanism. , 1995, Journal of experimental psychology. Human perception and performance.

[11]  David J. Getty,et al.  Discrimination of short temporal intervals: A comparison of two models , 1975 .

[12]  George Sperling,et al.  The information available in brief visual presentations. , 1960 .

[13]  W. Meck,et al.  Neuropsychological mechanisms of interval timing behavior. , 2000, BioEssays : news and reviews in molecular, cellular and developmental biology.

[14]  A. Kristofferson,et al.  Response delays and the timing of discrete motor responses , 1973 .

[15]  Michael T. Turvey,et al.  Resonance Constraints on Rhythmic Movement , 1993 .

[16]  Peter J. Beek,et al.  Bifurcations in Polyrhythmic Tapping: In Search of Farey Principles , 1991 .

[17]  G. Stelmach,et al.  Tutorials in Motor Behavior , 1980 .

[18]  A. Kristofferson Quantal and Deterministic Timing in Human Duration Discrimination , 1984, Annals of the New York Academy of Sciences.

[19]  Alan M. Wing,et al.  Chapter 4 Modeling variability and dependence in timing , 1996 .

[20]  Peter J. Beek,et al.  Dynamical Models of Movement Coordination , 1995 .

[21]  D. Rosenbaum,et al.  Timing of behavior : neural, psychological, and computational perspectives , 1998 .

[22]  A. Daffertshofer,et al.  Modeling Rhythmic Interlimb Coordination: Beyond the Haken–Kelso–Bunz Model , 2002, Brain and Cognition.

[23]  William E. Cooper,et al.  Cognitive Aspects of Skilled Typewriting , 2011, Springer New York.

[24]  P. Killeen,et al.  Optimal timing and the Weber function. , 1987, Psychological review.

[25]  G. Stelmach Information processing in motor control and learning , 1978 .

[26]  S. Swinnen Interlimb coordination : neural, dynamical, and cognitive constraints , 1994 .

[27]  D. Glencross,et al.  Motor control and sensory motor integration : issues and directions , 1995 .

[28]  Linda B. Smith,et al.  A Dynamic Systems Approach to the Development of Cognition and Action , 2007, Journal of Cognitive Neuroscience.

[29]  Alan M. Wing,et al.  Variability in the timing of responses during repetitive tapping with alternate hands , 1989 .

[30]  Gordon D. Logan,et al.  Time, Information, and the Various Spans in Typewriting , 1983 .

[31]  J. Gibbon,et al.  Timing and time perception. , 1984, Annals of the New York Academy of Sciences.

[32]  R Kliegl,et al.  The fast and the slow of skilled bimanual rhythm production: parallel versus integrated timing. , 2000, Journal of experimental psychology. Human perception and performance.

[33]  Timothy D. Lee,et al.  Motor Control and Learning: A Behavioral Emphasis , 1982 .

[34]  H. Woodrow,et al.  The reproduction of temporal intervals. , 1930 .

[35]  H. Heuer,et al.  Motor behavior : programming, control, and acquisition , 1985 .

[36]  David A. Rosenbaum,et al.  Successive Approximations to a Model of Human Motor Programming , 1988 .

[37]  Stephen Monsell,et al.  The Latency and Duration of Rapid Movement Sequences: Comparisons of Speech and Typewriting , 1978 .

[38]  Jeffery J. Summers,et al.  Coordinating the Two Hands in Polyrhythmic Tapping , 1994 .

[39]  G. Stelmach,et al.  Tutorials in motor neuroscience , 1991 .

[40]  D. Rosenbaum On choosing between movement sequences: comments on Rose (1988). , 1990, Journal of experimental psychology. Human perception and performance.

[41]  Mitsuo Kawato,et al.  Two coupled oscillators as a model for the coordinated finger tapping by both hands , 1980, Biological Cybernetics.

[42]  David A. Rosenbaum,et al.  Motor Programming: A Review and Scheduling Theory , 1985 .

[43]  Reinhold Kliegl,et al.  TEMPO-INDUCED TRANSITIONS IN POLYRHYTHMIC HAND MOVEMENTS , 1997 .

[44]  G Aschersleben,et al.  Synchronizing actions with events: The role of sensory information , 1995, Perception & psychophysics.

[45]  D. Meyer,et al.  Attention and Performance XIV , 1973 .

[46]  R B Ivry,et al.  The coupled oscillator model of between-hand coordination in alternate-hand tapping: a reappraisal. , 2001, Journal of experimental psychology. Human perception and performance.

[47]  G D Brown,et al.  Oscillator-based memory for serial order. , 2000, Psychological review.

[48]  G. Schöner Timing, Clocks, and Dynamical Systems , 2002, Brain and Cognition.

[49]  V. Braitenberg,et al.  Morphological observations on the cerebellar cortex , 1958, The Journal of comparative neurology.

[50]  Ralf Engbert,et al.  Representational Models and Nonlinear Dynamics: Irreconcilable Approaches to Human Movement Timing and Coordination or Two Sides of the Same Coin? Introduction to the Special Issue on Movement Timing and Coordination , 2002, Brain and Cognition.

[51]  D A Rosenbaum,et al.  Is dynamical systems modeling just curve fitting? , 1998, Motor control.

[52]  M. Peters The relationship between variability of intertap intervals and interval duration , 1989 .

[53]  A. Gordon,et al.  Choosing between movement sequences: A hierarchical editor model. , 1984 .

[54]  J. Requin Attention and Performance VII , 1980 .