SWIFT: a dynamical model of saccade generation during reading.

Mathematical models have become an important tool for understanding the control of eye movements during reading. Main goals of the development of the SWIFT model (R. Engbert, A. Longtin, & R. Kliegl, 2002) were to investigate the possibility of spatially distributed processing and to implement a general mechanism for all types of eye movements observed in reading experiments. The authors present an advanced version of SWIFT that integrates properties of the oculomotor system and effects of word recognition to explain many of the experimental phenomena faced in reading research. They propose new procedures for the estimation of model parameters and for the test of the model's performance. They also present a mathematical analysis of the dynamics of the SWIFT model. Finally, within this framework, they present an analysis of the transition from parallel to serial processing.

[1]  S. Liversedge,et al.  Saccadic eye movements and cognition , 2000, Trends in Cognitive Sciences.

[2]  H. Deubel,et al.  Saccade target selection and object recognition: Evidence for a common attentional mechanism , 1996, Vision Research.

[3]  G. C. Orden.  A ROWS is a ROSE: Spelling, sound, and reading , 1987 .

[4]  Gary E. Raney,et al.  Eye movement control in reading: a comparison of two types of models. , 1996, Journal of experimental psychology. Human perception and performance.

[5]  M. Pickering,et al.  Eye guidance in reading and scene perception , 1998 .

[6]  David E. Goldberg,et al.  Genetic Algorithms in Search Optimization and Machine Learning , 1988 .

[7]  R. Reilly,et al.  Eye movement control during reading: A simulation of some word-targeting strategies , 1998, Vision Research.

[8]  G. V. van Orden.  A ROWS is a ROSE: spelling, sound, and reading. , 1987, Memory & cognition.

[9]  J. O'Regan,et al.  Convenient fixation location within isolated words of different length and structure. , 1984, Journal of experimental psychology. Human perception and performance.

[10]  R. Wurtz,et al.  Saccade-related activity in monkey superior colliculus. I. Characteristics of burst and buildup cells. , 1995, Journal of neurophysiology.

[11]  G. Legge,et al.  Mr. Chips 2002: new insights from an ideal-observer model of reading , 2002, Vision Research.

[12]  J. O'Regan,et al.  Fixation location effects on fixation durations during reading: an inverted optimal viewing position effect , 2001, Vision Research.

[13]  G. V. Simpson,et al.  Flow of activation from V1 to frontal cortex in humans , 2001, Experimental Brain Research.

[14]  G. McConkie,et al.  Eye movements during reading: a theory of saccade initiation times , 2001, Vision Research.

[15]  Keith Rayner,et al.  Eye movements in reading: Old questions and new directions , 2004 .

[16]  A. Kennedy,et al.  Theoretical perspectives on eye movements in reading: Past controversies, current issues, and an agenda for future research , 2004 .

[17]  Reinhold Kliegl,et al.  Complexity of Eye Movements in Reading , 2004, Int. J. Bifurc. Chaos.

[18]  J. O'Regan.  Eye movements and reading. , 1990, Reviews of oculomotor research.

[19]  G. McConkie,et al.  Asymmetry of the perceptual span in reading , 1976 .

[20]  M. Pascual.  Understanding nonlinear dynamics , 1996 .

[21]  R. May.  Uses and Abuses of Mathematics in Biology , 2004, Science.

[22]  K. A. Ericsson,et al.  Long-term working memory. , 1995, Psychological review.

[23]  A. Kennedy,et al.  The influence of parafoveal typographical errors on eye movements in reading , 2004 .

[24]  K. Rayner,et al.  Comparing naming, lexical decision, and eye fixation times: Word frequency effects and individual differences , 1998, Memory & cognition.

[25]  R. Duncan Luce,et al.  Individual Choice Behavior: A Theoretical Analysis , 1979 .

[26]  D. Sparks.  The brainstem control of saccadic eye movements , 2002, Nature Reviews Neuroscience.

[27]  Eileen Kowler.  Eye movements and their role in visual and cognitive processes. , 1990, Reviews of oculomotor research.

[28]  I. J. Myung,et al.  Toward a method of selecting among computational models of cognition. , 2002, Psychological review.

[29]  K. Rayner.  Eye movements and visual cognition : scene perception and reading , 1992 .

[30]  Erik D. Reichle,et al.  Toward a model of eye movement control in reading. , 1998, Psychological review.

[31]  A. Jacobs,et al.  Models of visual word recognition: Sampling the state of the art. , 1994 .

[32]  K. Rayner.  Eye movements in reading and information processing: 20 years of research. , 1998, Psychological bulletin.

[33]  Alan Kennedy,et al.  Parafoveal Processing in Word Recognition , 2000, The Quarterly journal of experimental psychology. A, Human experimental psychology.

[34]  J. O'Regan.  Optimal Viewing Position in Words and the Strategy-Tactics Theory of Eye Movements in Reading , 1992 .

[35]  Z. Kapoula,et al.  Evidence for a range effect in the saccadic system , 1985, Vision Research.

[36]  G. McConkie,et al.  Eye movements and integrating information across fixations. , 1978, Journal of experimental psychology. Human perception and performance.

[37]  Alan Kennedy,et al.  Attention Allocation in Reading: Sequential or Parallel? , 2000 .

[38]  J. O'Regan,et al.  Eye-movement strategy and tactics in word recognition and reading. , 1987 .

[39]  P. J. Holmes,et al.  Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields , 1983, Applied Mathematical Sciences.

[40]  R. Wurtz.  Vision for the control of movement. The Friedenwald Lecture. , 1996, Investigative ophthalmology & visual science.

[41]  A. Baddeley.  The episodic buffer: a new component of working memory? , 2000, Trends in Cognitive Sciences.

[42]  K. Rayner,et al.  Asymmetry of the effective visual field in reading , 1980, Perception & psychophysics.

[43]  Iain D Gilchrist,et al.  Refixation frequency and memory mechanisms in visual search , 2000, Current Biology.

[44]  M. Coltheart.  Attention and Performance XII: The Psychology of Reading , 1987 .

[45]  R. Radach,et al.  Chapter 7 – Relations Between Spatial and Temporal Aspects of Eye Movement Control , 2000 .

[46]  Heiner Deubel,et al.  Commentary on Section 2. Attention, information processing and eye movement control. , 2000 .

[47]  From Clocks to Chaos: The Rhythms of Life , 1988 .

[48]  R. Carpenter,et al.  The neural control of looking , 2000, Current Biology.

[49]  W. Becker,et al.  An analysis of the saccadic system by means of double step stimuli , 1979, Vision Research.

[50]  A. Treisman,et al.  Illusory words: the roles of attention and of top-down constraints in conjoining letters to form words. , 1986, Journal of experimental psychology. Human perception and performance.

[51]  R. Walker,et al.  A model of saccade generation based on parallel processing and competitive inhibition , 1999, Behavioral and Brain Sciences.

[52]  Heiner Deubel,et al.  The mind's eye : cognitive and applied aspects of eye movement research , 2003 .

[53]  Ralf Engbert,et al.  A dynamical model of saccade generation in reading based on spatially distributed lexical processing , 2002, Vision Research.

[54]  Reinhold Kliegl,et al.  Noise-enhanced performance in reading , 2003, Neurocomputing.

[55]  P. E. Hallett,et al.  Retinal eccentricity and the latency of eye saccades , 1994, Vision Research.

[56]  P. Subramanian.  Active Vision: The Psychology of Looking and Seeing , 2006 .

[57]  J. Wolfe,et al.  Guided Search 2.0 A revised model of visual search , 1994, Psychonomic bulletin & review.

[58]  George W. McConkie,et al.  Saccade generation during reading: Are words necessary? , 2004 .

[59]  Alexander Pollatsek,et al.  E–Z Reader: A cognitive-control, serial-attention model of eye-movement behavior during reading , 2006, Cognitive Systems Research.

[60]  Robin K. Morris,et al.  Phonological codes are used in integrating information across saccades in word identification and reading. , 1992, Journal of experimental psychology. Human perception and performance.

[61]  A. Treisman,et al.  Binding in short-term visual memory. , 2002, Journal of experimental psychology. General.

[62]  K. Rayner.  Eye Guidance in Reading: Fixation Locations within Words , 1979, Perception.

[63]  K. Rayner,et al.  Mindless reading revisited: Eye movements during reading and scanning are different , 1996, Perception & psychophysics.

[64]  Ralf Engbert,et al.  Length, frequency, and predictability effects of words on eye movements in reading , 2004 .

[65]  R. Luce,et al.  Individual Choice Behavior: A Theoretical Analysis. , 1960 .

[66]  M D Reddix,et al.  Eye movement control during reading: II. Frequency of refixating a word , 1989, Perception & psychophysics.

[67]  Erik D. Reichle,et al.  Tests of the E-Z Reader model: Exploring the interface between cognition and eye-movement control , 2006, Cognitive Psychology.

[68]  Gordon E Legge,et al.  Psychophysics of reading XX. Linking letter recognition to reading speed in central and peripheral vision , 2001, Vision Research.

[69]  David S. Broomhead,et al.  Mathematical models of eye movements , 2003 .

[70]  R. E. Morrison,et al.  Manipulation of stimulus onset delay in reading: evidence for parallel programming of saccades. , 1984, Journal of experimental psychology. Human perception and performance.

[71]  J. Henderson,et al.  Effects of foveal processing difficulty on the perceptual span in reading: implications for attention and eye movement control. , 1990, Journal of experimental psychology. Learning, memory, and cognition.

[72]  Erik D. Reichle,et al.  The E-Z Reader model of eye-movement control in reading: Comparisons to other models , 2003, Behavioral and Brain Sciences.

[73]  G. McConkie,et al.  Regressive Saccades and Word Perception in Adult Reading , 2000 .

[74]  Yuichi Mori,et al.  Handbook of Computational Statistics , 2004 .

[75]  C. Clifton,et al.  Determinants of parafoveal preview benefit in high and low working memory capacity readers: implications for eye movement control. , 1995, Journal of experimental psychology. Learning, memory, and cognition.

[76]  Reinhold Kliegl,et al.  The game of word skipping: Who are the competitors? , 2003, Behavioral and Brain Sciences.

[77]  Ralf Engbert,et al.  Fixation durations before word skipping in reading , 2005, Psychonomic bulletin & review.

[78]  G. Schöner,et al.  Dynamic Field Theory of Movement Preparation , 2022 .

[79]  Ralf Engbert,et al.  Tracking the mind during reading: the influence of past, present, and future words on fixation durations. , 2006, Journal of experimental psychology. General.

[80]  C. J. Erkelens,et al.  PII: S0042-6989(97)00287-3 , 2003 .

[81]  R. Wurtz,et al.  Fixation cells in monkey superior colliculus. II. Reversible activation and deactivation. , 1993, Journal of neurophysiology.

[82]  G. Legge,et al.  Mr. Chips: An ideal-observer model of reading , 1997 .

[83]  J. O'Regan,et al.  Mindless reading: Eye-movement characteristics are similar in scanning letter strings and reading texts , 1995, Perception & psychophysics.

[84]  E. Matin.  Saccadic suppression: a review and an analysis. , 1974, Psychological bulletin.

[85]  A. Koriat,et al.  The extraction of structure during reading: Evidence from reading prosody , 2002, Memory & cognition.

[86]  Richard J. Krauzlis,et al.  Going for the goal , 2003, Nature Neuroscience.

[87]  J. Spall.  STOCHASTIC OPTIMIZATION , 2002 .

[88]  B. Dosher,et al.  The role of attention in the programming of saccades , 1995, Vision Research.

[89]  A. Treisman,et al.  A feature-integration theory of attention , 1980, Cognitive Psychology.

[90]  John H. Holland,et al.  Adaptation in Natural and Artificial Systems: An Introductory Analysis with Applications to Biology, Control, and Artificial Intelligence , 1992 .

[91]  Alexander Pollatsek,et al.  The effects of frequency and predictability on eye fixations in reading: implications for the E-Z Reader model. , 2004, Journal of experimental psychology. Human perception and performance.

[92]  B. Kendall.  Nonlinear Dynamics and Chaos , 2001 .

[93]  Frank Moss,et al.  Noise in nonlinear dynamical systems. Volume 3. experiments and simulations. , 1989 .

[94]  Joël Pynte,et al.  Reading as a Perceptual Process , 2000 .

[95]  G. McConkie,et al.  Chapter 4 – Determinants of Fixation Positions in Words During Reading , 1998 .

[96]  R. Wurtz,et al.  Fixation cells in monkey superior colliculus. I. Characteristics of cell discharge. , 1993, Journal of neurophysiology.

[97]  K. Rayner,et al.  Eye movements and information processing during reading , 2004 .

[98]  K. Rayner,et al.  Eye movements during reading: some current controversies , 2001, Trends in Cognitive Sciences.

[99]  Seth N. Greenberg,et al.  Allocation of Visuo-Spatial Attention and Saccade Programming During Reading , 2000 .

[100]  Ralf Engbert,et al.  Mislocated fixations during reading and the inverted optimal viewing position effect , 2005, Vision Research.

[101]  Kevin O’Regan,et al.  Saccade size control in reading: Evidence for the linguistic control hypothesis , 1979, Perception & psychophysics.

[102]  J T McIlwain,et al.  Distributed spatial coding in the superior colliculus: A review , 1991, Visual Neuroscience.

[103]  Jan Ygge,et al.  Eye movements in reading , 1994 .

[104]  Robin K. Morris,et al.  Eye movement guidance in reading: the role of parafoveal letter and space information. , 1990, Journal of experimental psychology. Human perception and performance.

[105]  A. Jacobs,et al.  Optimal viewing position effect in word recognition: A challenge to current theory. , 1992 .

[106]  A. Kennedy,et al.  Parafoveal-on-foveal effects in normal reading , 2005, Vision Research.

[107]  Erik D. Reichle,et al.  Eye movement control in reading: accounting for initial fixation locations and refixations within the E-Z Reader model , 1999, Vision Research.

[108]  D Wyman,et al.  Letter: Latency characteristics of small saccades. , 1973, Vision research.

[109]  O. Mimura.  [Eye movements]. , 1992, Nippon Ganka Gakkai zasshi.

[110]  Barbara J. Juhasz,et al.  The effect of plausibility on eye movements in reading. , 2004, Journal of experimental psychology. Learning, memory, and cognition.

[111]  Daniel Guitton,et al.  Superior colliculus encodes distance to target, not saccade amplitude, in multi-step gaze shifts , 2003, Nature Neuroscience.

[112]  Reinhold Kliegl,et al.  Mathematical models of eye movements in reading: a possible role for autonomous saccades , 2001, Biological Cybernetics.

[113]  C. Scudder,et al.  The microscopic anatomy and physiology of the mammalian saccadic system , 1996, Progress in Neurobiology.

[114]  P. W. Kerr,et al.  Eye movement control during reading: I. The location of initial eye fixations on words , 1987, Vision Research.

[115]  Roger Ratcliff,et al.  A Theory of Memory Retrieval. , 1978 .

[116]  R. Wurtz,et al.  Saccade-related activity in monkey superior colliculus. II. Spread of activity during saccades. , 1995, Journal of neurophysiology.

[117]  P. McClintock,et al.  Noise in nonlinear dynamical systems: Contents , 1989 .

[118]  J. Wolfe,et al.  Preattentive Object Files: Shapeless Bundles of Basic Features , 1997, Vision Research.

[119]  D. Robinson,et al.  Shared neural control of attentional shifts and eye movements , 1996, Nature.

[120]  M. Posner,et al.  Orienting of Attention* , 1980, The Quarterly journal of experimental psychology.

[121]  K. Rayner,et al.  Lexical complexity and fixation times in reading: Effects of word frequency, verb complexity, and lexical ambiguity , 1986, Memory & cognition.