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Induced motion of a fixated target: Influence of voluntary eye deviation

Perception & Psychophysics, 1991
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Perception &: Psychophysics 1991. 50 (3), 230-236 Induced motion of a fixated target: Influence of voluntary eye deviation THOMAS HECKMANN General Motors Research Laboratories, Warren, Michigan and ROBERT B. POST and LINDA DEERING University of California, Davis, California Induced motion (1M) was observed in a fixated target in the direction opposite to the real mo- tion of a moving background. Relative to a fixation target located straight ahead, 1Mdecreased when fixation was deviated 10° in the same direction as background motion and increased when fixation was deviated 10° opposite background motion. These results are consistent with a "nystagmus-suppression" hypothesis for subjective motion of fixated targets: the magnitude of illusory motion is correlated with the amount of voluntary efference required to oppose involun- tary eye movements that would occur in the absence of fixation. In addition to the form of 1M studied, this explanation applies to autokinesis, apparent concomitant motion, and the oculogyral illusion. Accounts of 1M that stress visual capture of vection, afferent mechanisms, egocenter deviations, or phenomenological principles, although they may explain some forms of 1M, do not account for the present results. According to a "nystagmus-suppression" hypothesis (Post & Leibowitz, 1985), illusory motion of a fixated target can arise in an efferent signal for ocular pursuit that opposes involuntary eye movements to maintain a sta- ble fixation. This hypothesis requires two assumptions. First, efferent pathways responsible for ocular pursuit are the same as those that support fixation when stimuli to involuntary eye movements occur. Second, if the first as- sumption is true, then equivalent sensations of foveated target motion should arise when these efferent pursuit pathways are active, whether or not the target actually moves. Post and Leibowitz (1985) and Heckmann and Post (1988) have reviewed the physiological and be- havioral bases for these assumptions in detail. Corollary to these assumptions, the magnitude of registered target motion should be proportional to the in- voluntary eye movement that would occur in the absence of fixation. This is supported by work with several illu- sory motions of fixated targets. First, autokinesis is biased in the direction of eccentric fixation, its vigor proportional to the degree of gaze eccentricity (Adams, 1912; Carr, 1910; Leibowitz, Shupert, Post, & Dichgans, 1983). This follows from the voluntary effort required to overcome the viscoelastic forces and reflexive tone that tend to re- tain the eye in the primary position and that increase with eccentricity of gaze. Second, apparent concomitant motion of a fixated target during lateral head excursion (Post & Leibowitz, 1982) and, third, the magnitude of the oculo- gyral illusion (Evanoff & Lackner, 1987) are proportional Correspondence should be addressed to Thomas Heckmann, General Motors ResearchLaboratories, 30500MoundRd., Warren,MI 48090-9055. to the amount of vestibuloocular reflex (VOR) that must be suppressed to maintain fixation. The identical analysis applies to illusory motion of a fixated target opposite the direction of a moving contoured background. In this case, the stimulus to involuntary eye movement is optokinetic. Magnitudes of illusory fixation- target motion in one direction are correlated with measures of optokinetic nystagmus (OKN) slow phase in the opposite direction across variations in theillumination, velocity (post, 1986), and duration (Heckmann & Post, 1988) of uni- directionally moving background contours. This correlation is also obtained across the oscillation frequencies of bi- directionally moving backgrounds (post, Chi, Heckmann, & Chaderjian, 1989). Here, the nystagmus-suppression hypothesis assumes that voluntary ocular pursuit is the "fast" component ofOKN, which supports a more archaic "slow" OKN to give normal OKN in the absence of a fixation target. When fixation is required, however, pur- suit dissociates from archaic OKN and opposes it; in which case, archaic OKN is represented by optokinetic aftemystagmus (OKAN; see Heckmann & Post, 1988; Post, 1986). The foregoing cases meet the defining criteria (Duncker, 1929) of induced motion (1M). Hence, we also call them 1M. However, a number of illusions differing widely in phenomenology and explanation, many of which entail no fixation at all, also fit this definition (for detailed discussion, see Heckmann & Howard, in press; Heck- mann & Post, 1988; Reinhardt-Rutland, 1988; Wade & Swanston, 1987). The use of 1M to test the nystagmus-suppression hy- pothesis has previously depended on correlating 1M mag- Copyright 1991 Psychonomic Society, Inc. 230
Figure 1. Structure of hypothesis. Dashed arrows represent in- voluntary factors: the slow-phase (SP) signal in archaic OKN sys- tem and the viscoelastic forces and reDexive tone (VE), which tend to abduct deviated eyes hack to the primary gaze position. Solid arrows represent the components of pursuit effort, PFSP and PEVE, which oppose SP and VE, respectively. Arrows of like type com- bine algebraically. 1M magnitude is proportional to combined pur- suit efforts (PE NE1). (A) With-stimulus condition, eyes are deviated in the same direction as the OKN slow phase. VE assists in oppos- ing SP, requiring less PESP to oppose the involuntary forces and maintain fixation. In addition, PEVE to maintain deviated gaze is opposite in sign to PESP, so PE NET is less than in: (8) Straight- ahead condition, eyes are straight ahead. PE NET equals PESP. (C) Opposite-Qimulus condition, eyes are deviated opposite the direc- tion of stimulus motion. SP and VE combine positively, requiring positive combination of PESP and PEVE and giving the largest PE NET among the three conditions. nitude with an oculomotor measure. The present experi- ment, however, employed the ability of the hypothesis to predict variations in 1M magnitude from the fixation task. Fixation of a target located straight ahead gave a baseline of voluntary effort required to oppose the slow phase of OKN, as well as a baseline magnitude of 1M. Following the analysis of autokinesis during fixation of an eccentrically deviated target, voluntary effort in the pursuit system is required to oppose viscoelastic forces and reflexive tone in order to maintain fixation. If the devi- ation is extreme, this effort registers as illusory motion of the fixated target in the same direction as the eye devi- ation. However, for more moderate deviations, which alone do not reliably produce illusory motion (Adams, 1912; Carr, 1910; Leibowitz et al., 1983), the pursuit ef- ference involved will combine with that needed to oppose the slow phase of OKN, giving different results depend- ing on the direction of the eye deviation with respect to the OKN stimulus, as illustrated in Figure 1. We predicted that eye deviation in the same direction as the stimulus would result in reduced 1M (Figure lA). Less voluntary efference would be required to oppose OKN slow phase than that in the baseline condition, be- cause OKN slow phase during this eye deviation would also be opposed by viscoelastic forces and reflexive tone, which force the eye back to the primary position. As in autokinesis, these forces require a component of volun- tary efference in the same direction as OKN slow phase and voluntary eye deviation, subtracting from the volun- tary efference required to oppose OKN. Net voluntary efference and 1M, however, would still be in the direc- METHOD tion opposite OKN slow phase. This is because the effer- ence required to maintain a moderate gaze deviation is, as noted, too small to give an illusion of motion on its own, compared with the robust illusion of motion that oc- curs during OKN suppression . For eye deviation opposite the direction of OKN slow phase, we predicted greater 1M, because the voluntary efference required to overcome physical and reflexive forces resisting the eye deviation should summate with that necessary to suppress OKN (Figure lC). Thus, we compared 1M magnitudes in three conditions of fixation- target position, in order of increasing predictedmagnitude: eyes deviated in the same direction as stimulus contour motion, eyes straight ahead, and eyes deviated opposite the direction of stimulus motion. Ten individuals. aged 21 to 37 years, 5 women and 5 men, served as subjects. They were either emmetropic or mildly myopic and wore their normal corrections during the experiment. The experimental apparatus, the techniques for inducing and mea- suring 1M, and the choice of inducing stimulus parameters have been dealt with in detail elsewhere (Heckmann and Post, 1988; Post & Heckmann, 1986). All observations were binocular, with the sub- ject seated at the center of a vertical hemicylindrical screen (radius = 50 ern, extending 180° x95°) onto which vertical stripes mov- ing horizontally at 60° /sec were projected by means of a shadow caster. Each pair of dark -light stripes subtended 15 0. A fixation target approximately .25° in diameter was projected onto the screen by means of a laser and a galvanometer-mounted mirror. The method for measuring 1M magnitude, originally employed by Post and Heckmann (1986), was based on reports (e.g., Wallach, Bacon, & Schulman, 1978) that orthogonaldirections ofiM and real fixation-target motion combine to yield an apparent path of motion that is the vector sum of the two. During exposure to horizontally moving contours, the subject continuously adjusts a rod manually by feel to match the apparently slanted path of travel resulting from real vertical motion of a fixation target and a horizontal vector of 1M. The method is effective in capturing moment-to-moment changes in 1M magnitude during prolonged stimulation, permitting the dy- namics of the illusion and its aftereffects to be studied (Heckmann & Howard, in press; Heckmann & Post, 1988; Post & Heckmann, 1986; Post & Lott, 1990). Measurements correlate highly with a technically more complex version of the method in which the horizontal 1M vector is canceled rather than matched; errors owing to matching a manually palpated slant to a visual one are negligible compared with differences in magnitudes of 1M obtained across stim- ulus conditions (Heckmann, 1986). 1M of fixated target observed with this method correlates highly with that measured by apparent horizontal displacement of a fixation target that is stable in the verti- cal, as well as the horizontal, direction (Post et al., 1989) and is in- dependent of vection (induced motion of the self) experienced during prolonged exposure to large, rapidly moving backgrounds, even though such stimuli are optimal for generating vection as well as ro- bust OKN (Heckmann & Howard, in press; Heckmann & Post, 1988). On each trial, the subject initially sat in darkness and indicated when ready for the trial to start. Each trial began with the appear- ance of the fixation target and the moving striped background, whereupon the subject began to continuously adjust the slant of the rod to match the apparent slant of the path of the fixation target. The target moved upward 15° at 3°/sec, was extinguished. immedi- ately reappeared at its original starting point, and began moving upward as before. The subject refixated it and tracked it upward again without interrupting the continuous slant-matching task. The INDUCED MOTION AND EYE DEVIATION 231 PESP c .-- PEVE PE NET .... VE ....... SP . . .... -- B .. A ..... .......
Perception &: Psychophysics 1991. 50 (3), 230-236 Induced motion of a fixated target: Influence of voluntary eye deviation THOMAS HECKMANN General Motors Research Laboratories, Warren, Michigan and ROBERT B. POST and LINDA DEERING University of California, Davis, California Induced motion (1M) was observed in a fixated target in the direction opposite to the real motion of a moving background. Relative to a fixation target located straight ahead, 1M decreased when fixation was deviated 10° in the same direction as background motion and increased when fixation was deviated 10° opposite background motion. These results are consistent with a "nystagmus-suppression" hypothesis for subjective motion of fixated targets: the magnitude of illusory motion is correlated with the amount of voluntary efference required to oppose involuntary eye movements that would occur in the absence of fixation. In addition to the form of 1M studied, this explanation applies to autokinesis, apparent concomitant motion, and the oculogyral illusion. Accounts of 1M that stress visual capture of vection, afferent mechanisms, egocenter deviations, or phenomenological principles, although they may explain some forms of 1M, do not account for the present results. According to a "nystagmus-suppression" hypothesis (Post & Leibowitz, 1985), illusory motion of a fixated target can arise in an efferent signal for ocular pursuit that opposes involuntary eye movements to maintain a stable fixation. This hypothesis requires two assumptions. First, efferent pathways responsible for ocular pursuit are the same as those that support fixation when stimuli to involuntary eye movements occur. Second, if the first assumption is true, then equivalent sensations of foveated target motion should arise when these efferent pursuit pathways are active, whether or not the target actually moves. Post and Leibowitz (1985) and Heckmann and Post (1988) have reviewed the physiological and behavioral bases for these assumptions in detail. Corollary to these assumptions, the magnitude of registered target motion should be proportional to the involuntary eye movement that would occur in the absence of fixation. This is supported by work with several illusory motions of fixated targets. First, autokinesis is biased in the direction of eccentric fixation, its vigor proportional to the degree of gaze eccentricity (Adams, 1912; Carr, 1910; Leibowitz, Shupert, Post, & Dichgans, 1983). This follows from the voluntary effort required to overcome the viscoelastic forces and reflexive tone that tend to retain the eye in the primary position and that increase with eccentricity of gaze. Second, apparent concomitant motion of a fixated target during lateral head excursion (Post & Leibowitz, 1982) and, third, the magnitude of the oculogyral illusion (Evanoff & Lackner, 1987) are proportional Correspondence should be addressed to Thomas Heckmann, General MotorsResearchLaboratories, 30500MoundRd., Warren, MI 48090-9055. Copyright 1991 Psychonomic Society, Inc. 230 to the amount of vestibuloocular reflex (VOR) that must be suppressed to maintain fixation. The identical analysis applies to illusory motion of a fixated target opposite the direction of a moving contoured background. In this case, the stimulus to involuntary eye movement is optokinetic. Magnitudes of illusory fixationtarget motion in one direction are correlated with measures of optokinetic nystagmus (OKN) slow phase in the opposite direction across variations in theillumination, velocity (post, 1986), and duration (Heckmann & Post, 1988) of unidirectionally moving background contours. This correlation is also obtained across the oscillation frequencies of bidirectionally moving backgrounds (post, Chi, Heckmann, & Chaderjian, 1989). Here, the nystagmus-suppression hypothesis assumes that voluntary ocular pursuit is the "fast" component ofOKN, which supports a more archaic "slow" OKN to give normal OKN in the absence of a fixation target. When fixation is required, however, pursuit dissociates from archaic OKN and opposes it; in which case, archaic OKN is represented by optokinetic aftemystagmus (OKAN; see Heckmann & Post, 1988; Post, 1986). The foregoing cases meet the defining criteria (Duncker, 1929) of induced motion (1M). Hence, we also call them 1M. However, a number of illusions differing widely in phenomenology and explanation, many of which entail no fixation at all, also fit this definition (for detailed discussion, see Heckmann & Howard, in press; Heckmann & Post, 1988; Reinhardt-Rutland, 1988; Wade & Swanston, 1987). The use of 1M to test the nystagmus-suppression hypothesis has previously depended on correlating 1M mag- INDUCED MOTION AND EYE DEVIATION .......• . . PESP ..... . A .......• SP ....• VE . - - PEVE ....-B PE NET c Figure 1. Structure of hypothesis. Dashed arrows represent involuntary factors: the slow-phase (SP) signal in archaic OKN system and the viscoelastic forces and reDexive tone (VE), which tend to abduct deviated eyes hack to the primary gaze position. Solid arrows represent the components of pursuit effort, PFSP and PEVE, which oppose SP and VE, respectively. Arrows of like type combine algebraically. 1M magnitude is proportional to combined pursuit efforts (PE NE1). (A) With-stimulus condition, eyes are deviated in the same direction as the OKN slow phase. VE assists in opposing SP, requiring less PESP to oppose the involuntary forces and maintain fixation. In addition, PEVE to maintain deviated gaze is opposite in sign to PESP, so PE NET is less than in: (8) Straightahead condition, eyes are straight ahead. PE NET equals PESP. (C) Opposite-Qimulus condition, eyes are deviated opposite the direction of stimulus motion. SP and VE combine positively, requiring positive combination of PESP and PEVE and giving the largest PE NET among the three conditions. nitude with an oculomotor measure. The present experiment, however, employed the ability of the hypothesis to predict variations in 1M magnitude from the fixation task. Fixation of a target located straight ahead gave a baseline of voluntary effort required to oppose the slow phase of OKN, as well as a baseline magnitude of 1M. Following the analysis of autokinesis during fixation of an eccentrically deviated target, voluntary effort in the pursuit system is required to oppose viscoelastic forces and reflexivetone in order to maintain fixation. If the deviation is extreme, this effort registers as illusory motion of the fixated target in the same direction as the eye deviation. However, for more moderate deviations, which alone do not reliably produce illusory motion (Adams, 1912; Carr, 1910; Leibowitz et al., 1983), the pursuit efference involved will combine with that needed to oppose the slow phase of OKN, giving different results depending on the direction of the eye deviation with respect to the OKN stimulus, as illustrated in Figure 1. We predicted that eye deviation in the same direction as the stimulus would result in reduced 1M (Figure lA). Less voluntary efference would be required to oppose OKN slow phase than that in the baseline condition, because OKN slow phase during this eye deviation would also be opposed by viscoelastic forces and reflexive tone, which force the eye back to the primary position. As in autokinesis, these forces require a component of voluntary efference in the same direction as OKN slow phase and voluntary eye deviation, subtracting from the voluntary efference required to oppose OKN. Net voluntary efference and 1M, however, would still be in the direc- 231 tion opposite OKN slow phase. This is because the efference required to maintain a moderate gaze deviation is, as noted, too small to give an illusion of motion on its own, compared with the robust illusion of motion that occurs during OKN suppression . For eye deviation opposite the direction of OKN slow phase, we predicted greater 1M, because the voluntary efference required to overcome physical and reflexive forces resisting the eye deviation should summate with that necessary to suppress OKN (Figure lC). Thus, we compared 1M magnitudes in three conditions of fixationtarget position, in order of increasing predicted magnitude: eyes deviated in the same direction as stimulus contour motion, eyes straight ahead, and eyes deviated opposite the direction of stimulus motion. METHOD Ten individuals. aged 21 to 37 years, 5 women and 5 men, served as subjects. They were either emmetropic or mildly myopic and wore their normal corrections during the experiment. The experimental apparatus, the techniques for inducing and measuring 1M, and the choice of inducing stimulus parameters have been dealt with in detail elsewhere (Heckmann and Post, 1988; Post & Heckmann, 1986). All observations were binocular, with the subject seated at the center of a vertical hemicylindrical screen (radius = 50 ern, extending 180° x95°) onto which vertical stripes moving horizontally at 60° /sec were projected by means of a shadow caster. Each pair of dark-light stripes subtended 15 0. A fixation target approximately .25° in diameter was projected onto the screen by means of a laser and a galvanometer-mounted mirror. The method for measuring 1M magnitude, originally employed by Post and Heckmann (1986), was based on reports (e.g., Wallach, Bacon, & Schulman, 1978) that orthogonal directions ofiM and real fixation-target motion combine to yield an apparent path of motion that is the vector sum of the two. During exposure to horizontally moving contours, the subject continuously adjusts a rod manually by feel to match the apparently slanted path of travel resulting from real vertical motion of a fixation target and a horizontal vector of 1M. The method is effective in capturing moment-to-moment changes in 1M magnitude during prolonged stimulation, permitting the dynamics of the illusion and its aftereffects to be studied (Heckmann & Howard, in press; Heckmann & Post, 1988; Post & Heckmann, 1986; Post & Lott, 1990). Measurements correlate highly with a technically more complex version of the method in which the horizontal 1M vector is canceled rather than matched; errors owing to matching a manually palpated slant to a visual one are negligible compared with differences in magnitudes of 1M obtained across stimulus conditions (Heckmann, 1986). 1M of ~ fixated target observed with this method correlates highly with that measured by apparent horizontal displacement of a fixation target that is stable in the vertical, as well as the horizontal, direction (Post et al., 1989) and is independent of vection (induced motion of the self) experienced during prolonged exposure to large, rapidly moving backgrounds, even though such stimuli are optimal for generating vection as well as robust OKN (Heckmann & Howard, in press; Heckmann & Post, 1988). On each trial, the subject initially sat in darkness and indicated when ready for the trial to start. Each trial began with the appearance of the fixation target and the moving striped background, whereupon the subject began to continuously adjust the slant of the rod to match the apparent slant of the path of the fixation target. The target moved upward 15° at 3°/sec, was extinguished. immediately reappeared at its original starting point, and began moving upward as before. The subject refixated it and tracked it upward again without interrupting the continuous slant-matching task. The 232 HECKMANN, POST, AND DEERING extent of the vertical path of the spot bisected the horizontal plane of gaze, so that there was no net deviation of gaze from the horizontal. Trials lasted 30 sec, during which slant was sampled every 10 sec. There were three pairs of trials per subject. In one pair of trials, the fixation target was positioned at the subject's median sagittal plane (straight ahead). In another pair of trials, it was positioned 10° left of straight ahead. In a third pair, it was placed 10° right of straight ahead. Within each pair of trials, the striped background moved left in one trial and right in the other. The orders of fixationtarget position and background direction were randomized within each subject. This scheme gave three conditions of direction of fixation with respect to the direction of background stimulus motion, with leftward and rightward stimulus motion being represented in each condition. In one condition, target fixation required deviation of the eyes away from straight ahead in the same direction as background stimulus motion (the with-stimulus condition), the head being stabilized in line with the body by means of a dental-impression bitebar so that only the eyes deviated to maintain target fixation. In a second condition, target fixation was straight ahead of the subject (the straight-ahead condition). In the third condition, target fixation required deviation of the eyes away from straight ahead in the direction opposite that of background motion (the opposite-stimulus condition). Perceived slants were sampled at 10, 20, and 30 sec after trial initiation to permit verification of a previously reported gradual increase in 1M magnitude during prolonged stimulation (Heckmann & Howard, in press; Heckmann & Post, 1988; Post & Chaderjian, 1988; Post & Heckmann, 1986; Post & Lott, 1990) and evaluation of its interaction with the direction of fixation. Prior to analysis, data were trigonometrically converted to the horizontal 1M velocity vectors required to give the reported apparent slants. RESULTS A three-way within-subject analysis of variance assessed three main effects (stimulus duration, fixation direction, and stimulus direction) and their interactions (Table 1). The absence of significant interactions among the main effects allowed each to be considered independently. Figure 2 represents the effect of stimulus duration. The illusory horizontal velocity ofIM, averaged over subjects and collapsed across fixation direction and stimulus direction, is plotted at 10, 20, and 30 sec. The gradual increase in 1M magnitude with stimulus duration replicates findings with other subject groups (Heckmann & Howard, in press; Heckmann & Post, 1988; Post & Chaderjian, 1988; Post & Heckmann, 1986; Post & Lott, 1990). The Table 1 Analysis of Variance ~ue Stimulus Duration Fixation Direction Stimulus Direction Stimulus Duration Stimulus Duration Fixation Direction Three-Way df 2 2 I x x x Fixation Direction Stimulus Direction Stimulus Direction 4 2 2 4 F p 25.27 <.001 5.81 <.025 10.31 <.025 1.07 n.s. 1.35 n.s. 1.24 ' n.s . .64 n.s. 14 12 U 10 W en a W 8 C ::iE 6 4 2 0 0 10 20 30 TIME: SECONDS Figure 2. Average over 10 subjects oUM magnitude sampled 10, 20, and 30 sec during exposure to bemicyIindricaIb8ckground of pr0jected vertical stripes moving borizonta1ly at 60° !sec. 1M magnitude increases with stimulus duration. Error bars represent ± I SEM. increase in 1M magnitude over time was statistically significant [F(2,18) = 25.27, P < .001]. Histograms in Figure 3 represent average 1M magnitudes for the three conditions of fixation direction, collapsed over the two other factors. The difference in 1M magnitude across the three conditions was statistically significant[F(2, 18) = 5.81, P < .025]. Differences across conditions were also in the predicted order: the smallest 1M magnitude occurred in the with-stimulus condition, and the greatest occurred in the opposite-stimulus condition. A post hoc comparison between treatments revealed a significant difference between the with-stimulus and opposite-stimulus conditions (Scheffe criterion, p < .01), but not between other conditions. There is also a significant effect of stimulus direction [F(l ,9) = 10.31, p < .025], in which average rightward 1Min response to leftward background motion was 8.2 °/sec and mean leftward 1M in response to rightward stimulation was H.2°/sec. This directional bias is presumed to be an artifact of the manner in which the hand-held rod was mounted on the apparatus. Its plane of rotation was oblique rather than normal to a frontal plane of the subject, approaching the subject from the left to the right. Thus, the wrist of the right hand was already hyperextended toward the right when the rod was gripped without any slant, giving an attenuated range of wrist motion in this direction (in response to leftward stimulation), compared with the range available for leftward wrist rotation (in response to rightward stimulation). Other studies in which the plane of rod rotation was normal to a frontal plane have found no effect of stimulus direction (Heck- INDUCED MOTION AND EYE DEVIATION 12 10 () 8 W (J) a ~ 6 4 2 o WITH STIMULUS STRAIGHT AHEAD OPPOSITE STIMULUS DIRECTION OF FIXATION Figure 3. 1M magnitude averaged over 10 subjects and three durations for witb-sdmulus, straiIbt-abead, and opposite-stimulus c0n- ditions. 1M magnitude increases across fixation conditions as predicted In Figure 1. Error bars equal ± 1 SEM. mann & Howard, in press; Post & Lott, 1990). The stimulus-direction effect in the present experiment did not, in any event, influence responses to stimulus duration and fixation direction, as shown by the absence of interactions among the three main effects. DISCUSSION When subjects fixate a horizontally stationary target in the presence of prolonged unidirectional background movement, the magnitude of fixation-target 1M decreases when fixation requires deviation of the eyes in the same direction that the slow phase of OKN would otherwise occur. This is consistent with a reduction in the voluntary fixational effort required to suppress the slow phase of OKN. Suppression is partially assisted by viscoelastic and reflexive forces resulting from the eye deviation. Also, a component of voluntary effort, required to maintain eye deviation in the same direction as the slow phase, subtracts from the effort that opposes nystagmus. 1M magnitude increases when the eye deviation required to fixate is opposite the direction of the suppressed OKN slow phase. This is consistent with an increase in the voluntary effort to suppress nystagmus, which is required to overcome viscoelastic and reflexive forces resisting the eye deviation. These results do not conflict with pursuit as the efferent mechanism for suppression of nystagmus by retinally stabilized or imaginary targets (Howard, Giaschi, & Murasugi, 1989; Wyatt & Pola, 1984). Evidence for the physiological identity of effector mechanisms in pursuit and nystagmus suppression has already been reviewed (Heckmann & Post, 1988). Nystagmus suppression oc- 233 curring with afterimages and imaginary targets is consistent with this identity, since pursuit itself is similarly effective with afterimages (Mack & Bachant, 1969) and during imaginary and predicted target motions (Steinbach, 1976; Whittaker & Eaholtz, 1982). A predictive component of nystagmus suppression has also been detected (Larsby, Hyden, & Odqvist, 1984). The present results argue against an account that considers 1M the cause, rather than the result, of pursuit efference (Wyatt & Pola, 1979). First, the gradual increase in 1M magnitude over time is highly correlated with an increase in optokinetic system activity as assessed through OKAN (Heckmann & Post, 1988). Causal precedence of 1M over pursuit would require an 1M that builds up over time independently of the duration effect on the optokinetic system. However, no principle available from alternatives to the nystagmus-suppression account independently explains the duration effect on 1M and its exquisite tuning to the dynamics of the optokinetic system (Heckmann & Post, 1988; Post et al., 1989). Since evidence reviewed by Heckmann and Post (1988) indicates that the pursuit signal is the mechanism for nystagmus suppression, it is simpler to assume that nystagmus suppression is causally prior to 1M. Similarly, if examination of alternative accounts of 1M phenomena supply no basis independent of nystagmus suppression for the present fixation-direction effect, then nystagmus suppression itself remains the sole explanation of this effect. A number of explanations apart from nystagmus suppression have been developed for the wide variety of phenomena defined as 1M, and they fall into four main categories: vection-entrained 1M, oculocentric 1M, object-relative 1M, and subject-relative 1M. The ability of each to explain the present results is considered, the first two as valid manifestations of semiautonomous motion mechanisms that function within different physiological frames of reference and produce their own characteristic forms of 1M. In vection-entrained 1M, stationary contours within or adjacent to a vection-inducing display are often experienced as moving along with the self during vection (Duncker, 1929; Fischer & Kornmiiller, 1930; Warren, 1895). Although use of small contour fields is no guarantee against vection (Johansson, 1977), large fields of contour in prolonged unidirectional motion are optimal not only for vection, but for OKN as well. Their effectiveness in stimulating the optokinetic system has made such fields the stimuli of choice in testing the nystagmussuppression hypothesis through the use of 1M. Yet, OKN and vection can be directionally dissociated by placing the OKN stimulus closer to the subject than the vection stimulus (Brandt, Dichgans, & Buchele, 1974; Brandt, Dichgans, & Koenig, 1973). Using a similar stimulus configuration, Heckmann and Howard (in press) obtained complete directional dissociation of fixation-target 1M measured by the present method not only from vection, but from vection-entrained 1M; the two forms of 1M could be driven in opposite directions at the same time. Furthermore, measures of vection and fixation-target 1M were 234 HECKMANN, POST, AND DEERING quantitatively independent of one another, regardless of their relative directions, showing that fixation-target 1M is unaffected by concurrent vection. The present results, therefore, are not attributable to any change in vectionentrained 1M accompanying fixation-target 1M. Heckmann and Howard (in press) interpreted vection and vection-entrained 1M as illusory motion occurring in an "exocentric" frame of reference for relations between the world and the whole body. The entire frame of reference for "egocentric" motions of objects relative to the self is carried along with the self during vection. Vectionentrained 1M thus adds subjective velocity to objects undergoing egocentric motion; they move "along with" the self, but only as fast as the self is moving. Thus, there is no additional registration of egocentric motion-motion relativeto the self-giving no effect on the 1Mofa fixation target when registered as the horizontal vector of an apparent slant. Egocentric motions and IMs may further be broken down into "headcentric" and "oculocentric" forms. Headcentric motion is represented by motion sensations associated with ocular pursuit and illusions arising from nystagmus suppression (such as 1M in the present study), since these experiences are fundamentally about motion with respect to the head. Oculocentric real motion and 1M, which arise from afferent motion mechanisms operating in retinal coordinates, are superimposed on the headcentric form. Oculocentric mechanisms are those responsible for such effects as spatial and velocity tuning of the 1M of stationary, as opposed to moving, gratings (Levi & Schor, 1984) and 1M in different parts of the visual field in opposite directions at the same time (Brosgole, 1968; Gogel, 1977; Heckmann & Howard, in press; Nakayama & Tyler, 1978). In such cases, the motion sensation is often "fleeting and ephemeral" (Heckmann & Post, 1988), occurring at full strength immediately upon viewing and fading in and out, in contrast with the robustness and gradual increase in 1M of the headcentric or nystagmus-suppression type. Preliminary measures of simultaneous, but opposite, IMs of the oculocentric type made with the present slant-matching method show that this method does indeed register oculocentric 1M. However, the magnitude of the oculocentric form is negligible compared with that of the nystagmus-suppression type (Heckmann & Howard, in press), representing a few minutes of arc per second of subjective velocity. Differences among fixation directions in the present study were measurable in degrees per second rather than minutes per second and were also robust across time, as indicated by the gradual buildup in magnitude and the absence of interaction between stimulus duration and fixation direction. These facts argue against oculocentric 1M as the source of the present results. Another argument against oculocentric factors in the present results is the symmetry of retinal configuration across fixation conditions. No retinal differences were available across conditions that might serve as a basis for oculocentric effects on fixation direction. Symmetry of configuration across fixation conditions also eliminates the object-relative-motion account (Duncker, 1929), because it imputes 1M to a change in the position of a stationary target relative to that of a background, such as a moving rectangle, which develops an asymmetrical visual frame of reference as it moves. Stimulus symmetry also eliminates the subject-relative account (Bridgeman & Klassen, 1983; Brosgole, 1968; Duncker, 1929), in which illusory motion of a stationary target is interpreted from an apparent shift in the visual egocenter within a shifted, asymmetrical frame of reference. Further disconfirmation of this account is found in the fact that a positional shift in the visual egocenter in the direction of background motion develops very slowly, taking about 60 sec to complete (Post & Heckmann, 1986). However, a slowly developing factor did not influence the effect of fixation direction, as shown by its failure to interact with stimulus duration in the analysis. The requirements ofvection induction, the independence of fixation-target 1M from vection, the feebleness of oculocentric 1M (relative to that of a single fixation target), the ad hoc nature of phenomenological accounts, and the dynamics of visual egocenter change during induction leave nystagmus suppression alone to account for 1M of the classical type: robust, continuous illusory fixation-target motion induced by a moving rectangular frame (e.g., Duncker, 1929; Rock, Auster, Schiffman, & Wheeler, 1982; Wallach et al., 1978; Wallach & Becklen, 1983). This idea receives positive support from the identical dependence of OKN and 1M on the oscillation frequency of a frame inducer (Post et al .• 1989). Also, depth adjacency in 1M, originally studied with such stimuli (e.g., Gogel & Koslow, 1972), can also be attributed to nystagmus suppression. This is because adjacency of convergence to an inducing background determines the direction ofIM more strongly than does simple adjacency of fixation target and inducer (Heckmann & Howard, in press). This is similar to the dependence of OKN on the depth relationship of convergence and inducer (Howard & Gonzalez. 1987; Howard & Simpson, 1989). Even so, it should be clear from the foregoing that the nystagmus-suppression hypothesis is not intended to explain all 1M phenomena. Rather, 1M of a fixated target has been used as an experimental model to test various implications of nystagmus suppression when the stimulus is optokinetic, versus vestibular or spontaneous, as in other illusions of fixation-target motion. Certain forms of 1M still pose a challenge to the proposed categories of exocentric, headcentric, and oculocentric motion-sensitivity mechanisms. A case in point is 1M in depth with respect to a frontoparallel plane (Gogel & Griffin, 1982). Nystagmus suppression may yet, however. serve as a unifying explanation for other cases that seem at first to defy these categories. For example, the direction and magnitude of 1M is influenced by attention to competing inducing stimuli (Gogel & MacCracken, 1979; Gogel & Sharkey, 1989; Gogel & Tietz, 1976). This is consistent with enhancement of OKN gain by attention directed at a moving display (Barnes & Hill, 1984; Cheng INDUCED MOTION AND EYE DEVIATION & Outerbridge, 1975; Dubois & Collewijn, 1979; HolmJensen, 1984). The fact that 1M occurs with discrete, as well as continuous, changes in the background (Bridgeman & Klassen, 1983)does not argue againstnystagmus suppression, since OKN can occur with a stroboscopically illuminated stimulus (Schor, Lakshminarayanan, & Narayan, 1984). Apparent retrograde motion of a small stationary target when tracking the inducing stimulus has been termed 1M (Gogel & Griffin, 1982; Wallach et al., 1978). 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(Manuscript received February 7, 1990; revision accepted for publication May 6, 1991.)
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