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The Journal of Neuroscience, March 15, 2001, 21(6):2075-2084
Linked Target Selection for Saccadic and Smooth Pursuit Eye
Movements
Justin L.
Gardner and
Stephen G.
Lisberger
Howard Hughes Medical Institute, Department of Physiology, W. M. Keck Foundation Center for Integrative Neuroscience, and
Bioengineering Graduate Group, University of California, San Francisco,
California 94143
 |
ABSTRACT |
In natural situations, motor activity must often choose a single
target when multiple distractors are present. The present paper asks
how primate smooth pursuit eye movements choose targets, by analysis of
a natural target-selection task. Monkeys tracked two targets that
started 1.5° eccentric and moved in different directions (up, right,
down, and left) toward the position of fixation. As expected from
previous results, the smooth pursuit before the first saccade reflected
a vector average of the responses to the two target motions
individually. However, post-saccadic smooth eye velocity showed
enhancement that was spatially selective for the motion at the endpoint
of the saccade. If the saccade endpoint was close to one of the two
targets, creating a targeting saccade, then pursuit was selectively
enhanced for the visual motion of that target and suppressed for the
other target. If the endpoint landed between the two targets, creating
an averaging saccade, then post-saccadic smooth eye velocity also
reflected a vector average of the two target motions. Saccades with
latencies >200 msec were almost always targeting saccades. However,
pursuit did not transition from vector-averaging to target-selecting
until the occurrence of a saccade, even when saccade latencies were >300 msec. Thus, our data demonstrate that post-saccadic enhancement of pursuit is spatially selective and that noncued target selection for
pursuit is time-locked to the occurrence of a saccade. This raises the
possibility that the motor commands for saccades play a causal role,
not only in enhancing visuomotor transmission for pursuit but also in
choosing a target for pursuit.
Key words:
selective attention; visual motion processing; gain
control; movement initiation; vector averaging; winner-take-all
 |
INTRODUCTION |
In the natural world, motor systems
are often faced with many choices of targets as the endpoint of
movements. Once a specific target has been selected, the motor system
must selectively guide movement with sensory information from that
target alone and ignore all non-relevant stimuli. This process of
target selection is often further complicated by the need to coordinate
multiple movement systems. For example, when primates examine the fine
detail of an object moving through the visual field, they make both a
saccade to bring the image of the object onto the fovea and a
smooth pursuit eye movement to stabilize the image on the fovea (Dodge,
1903
; Robinson, 1965
). Saccades are programmed primarily to correct errors between target and eye position (for review, see Sparks and
Mays, 1990
), whereas pursuit represents an attempt to minimize the
difference between target and eye velocity (Rashbass, 1961
; cf.
Krauzlis and Stone, 1999
) (for review, see Lisberger et al., 1987
;
Keller and Heinen, 1991
). Thus, target selection for ocular tracking
involves isolation of both the position and velocity of a moving target
and coordinating the use of these signals among two different movement systems.
Saccadic eye movements have been used traditionally as a model system
for analysis of target selection, and considerable information is now
available about the evolution of commands for saccadic eye movements
throughout the parietal and frontal cortex (Schall and Hanes,
1993
; Platt and Glimcher, 1997
; Gold and Shadlen, 2000
) (for review,
see Schall and Thompson, 1999
). However, saccades are a special kind of
movement in which a target can be chosen, a motor command generated,
and precise motor circuits brought into play to execute the command
accurately without any sensory feedback. Because a saccadic movement
occurs at a single point in time, many saccades with different
latencies must be examined to make an inference from the behavior as to
how target selection develops over time. Numerous studies of this
nature have demonstrated that, depending on the relative location and
instructions given, earlier saccades tend to be made to a compromise,
vector-averaged position between two targets, and target-selecting
saccades generally occur with longer latencies (Becker and
Jürgens, 1979
; Findlay, 1982
; Ottes et al., 1985
;
Coëffé and O'Regan, 1987
; He and Kowler, 1989
; Chou et
al., 1999
). Smooth pursuit eye movements use visual feedback to guide
movement continuously and therefore offer the opportunity to directly
examine the behavioral consequences of target-selection processes as
they develop over time. Knowing that the initial, pre-saccadic pursuit
to two identical targets (Lisberger and Ferrera, 1997
) reflected a
vector average of the responses to each target individually, we set out
to examine whether the transition from vector-averaging to
target-selecting pursuit would mirror the inferred transition of the
saccadic system. We find that the transition from vector-averaging to
target selection does not follow the same time course as the transition
in the saccadic system, but instead is time-locked to the execution of a targeting saccade.
Our experiments were also motivated by previous results that indicate
that there is a strong interaction between the saccadic and pursuit
systems. The act of making a saccade to a target can activate the
visuomotor pathway for the pursuit system (Lisberger, 1998
). Pursuit
gain (eye velocity divided by target velocity) just after a saccade is
markedly enhanced compared with pursuit gain just before a saccade.
This post-saccadic enhancement is unlike other enhancement effects
described for ocular following (Kawano and Miles, 1986
) and disparity
vergence (Busettini et al., 1996
), because it is provoked by the motor
act of making the saccade rather than by the rapid motion of the visual
scene across the retina during a saccade. The properties of
post-saccadic enhancement of pursuit imply that visual motion inputs
are enhanced if they come from a target that is about to be brought
onto the fovea. Because previous experiments were done with single
target stimuli, it is not known whether enhancement is related to
cognitive functions, such as target selection, or whether it is simply
a non-specific enhancement of responses to all visual motion. Our results indicate that post-saccadic enhancement is indeed a spatially selective mechanism and may therefore be comparable with attention.
 |
MATERIALS AND METHODS |
Experiments were conducted on three adult male rhesus monkeys
(Macaca mulatta) weighing 7-9 kg. Experimental methods were the same as have been presented previously (Lisberger and Ferrera, 1997a
; Lisberger, 1998
). Briefly, monkeys were trained to fixate and
track visual targets for a liquid reward (Wurtz, 1969
). Eye position
was monitored using a scleral search coil (Judge et al., 1980
) that had
been implanted with hardware for head restraint during sterile surgery
under anesthesia with isoflurane. During experiments, monkeys sat in a
primate chair with their heads restrained to the top of the chair. All
methods had received previous approval from the Institutional Animal
Care and Use Committee at the University of California, San Francisco.
Visual stimuli were presented on a Pentium personal computer-controlled
Hewlett-Packard (Palo Alto, CA) 1304A oscilloscope that
subtended 36° × 24° of horizontal and vertical arc at a distance of 40 cm from the animal and had a refresh rate of 250 Hz. Targets consisted of spots of light that spanned 0.2° of visual arc. All experiments were conducted in dim light against a dark background. Experimental conditions were controlled by a custom-built UNIX application running on a DEC alpha workstation. Each daily
experiment consisted of a series of trials, in which each trial
presented a different target motion; because it is critical to the
design of the experiment, the structure of the trials will be presented in detail at the start of Results. Trials were presented in randomized order, and the monkey was rewarded only for successfully completed trials. Any failed trial was reordered to the end of the set of trials,
and a new set, in a different randomized order, did not begin until all
trials had been successfully completed. Monkeys typically performed
better than 85% correct on each trial set.
Eye velocity was provided by analog differentiation of the position
signal by a double-pole filter with a corner frequency of 25 Hz. For a
discussion of analog filtering effects on measurements of post-saccadic
eye velocity, see Lisberger (1998)
. Position and velocity traces were
sampled at 1 kHz and digitized for storage and subsequent analysis on
the UNIX workstation. Saccades were then marked by visual inspection of
individual trials using a custom-built program. All further analysis
was done using Matlab 5.2 (MathWorks Inc., Natick, MA). All eye
velocity data that occurred during saccades were excluded from analysis.
We measured the final position of each saccade, the position of both
targets at the end of each saccade, and the pre-saccadic and
post-saccadic eye velocity (defined below). We then used the same
equation to evaluate the relative contribution of the visual signals
from each target to each measure of saccade and pursuit behavior. We
calculated a weight w that best satisfied the following overconstrained equation in the least-squared sense:
|
(1)
|
For the w values associated with the post-saccadic
eye position (saccade weights),
is a vector representing the
position of one spot at the end of the saccade (Fig.
1B, arrow
a), and
represents the other spot. For the w values associated with
eye velocity (pursuit weights),
and
are vectors representing the
pre-saccadic or post-saccadic eye velocity (averaged over a 10 msec
window) during single spot trials in which one spot or the other is
presented.
is a
vector representing either the position or velocity of the eye (saccade
and pursuit weight, respectively) in individual trials in which both
spots represented by
and
were displayed.

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Figure 1.
Schematic diagram showing example trial
configuration and representative raw data traces. A,
Representation of a two-target trial that presents a downward and a
rightward moving target. The monkey was required to fixate a central
fixation point for 1-1.5 sec. Two targets appeared 1.5° eccentric
and moved toward the center for 148, 248, or 348 msec, after which one
target vanished and the other continued. After 100-648 msec, the final
target stopped and the monkey was required to fixate the target for 600 msec. B, Representative eye and target position
(short-dashed lines, downward target; long-dashed
lines, rightward target; solid lines, eye
position) and velocity traces for the trial configuration shown in
A. Arrow a marks the end of the saccade
in the horizontal eye position trace. Arrows b and
c mark the beginning and end of the saccade in the
horizontal eye velocity trace, respectively. Positive deflections in
all traces indicate rightward (horizontal traces) or
upward (vertical traces) position or velocity. Negative
deflections indicate leftward (horizontal traces) or
downward (vertical traces) position or velocity.
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|
As our measure of post-saccadic eye velocity, we used the mean
eye velocity for the 10 msec just after a saccade. A previous report
(Lisberger, 1998
) conducted an extensive evaluation of the use of this
epoch of eye velocity, demonstrating the validity of the filtering
methods we used to obtain post-saccadic eye velocity and showing that
enhancement in the 10 msec interval we used was not a motor
after-effect of the saccade itself. As an additional test of the
veracity of conclusions based on the first 10 msec of post-saccadic eye
velocity, Figures 5 and 6 examine the time course of the effects for
many subsequent 10 msec intervals as well.
Even in conditions in which the targets looked identical and had equal
probability of becoming the final tracking target, the monkeys
sometimes had strong choice biases. For each combination of two targets
in each experimental session, we calculated the choice index with the
following equation:
|
(2)
|
where nT0 and
nT1 are the numbers of trials in
which the monkey made a saccade in the direction of one target or the
other, and every saccade was assigned to a target according to whether
saccade weight was less than or greater than 0.5.
Ninety-five percent confidence intervals for choice probabilities were
estimated using the percentile method from a bootstrapped estimate of
the sampling distribution calculated by resampling the original
distribution with replacement 1000 times and recalculating the choice
probability (Mooney and Duval, 1993
).
 |
RESULTS |
Monkeys were rewarded for tracking spots in a trial configuration
designed to promote free choice between two equally salient targets.
Trials consisted of the four segments diagrammed in Figure 1A. (1) A fixation point appeared that
monkeys were required to fixate for 1-1.5 sec. (2) The
fixation point was extinguished. At the same time, two spots appeared
1.5° eccentric, in this case to the left and above the fixation
point, and moved down and right toward the point of fixation at
20°/sec for an interval that was randomized among 148, 248, and 348 msec. (3) One spot disappeared and the other continued
moving at 20°/sec for 100-648 msec. (4) The moving
spot stopped and was held stationary at an eccentric position for 600 msec. This design was necessary for the success of the experiments. It
allowed us to demonstrate vector-averaging in the pre-saccadic eye
velocity and target choice for pursuit in the post-saccadic eye
velocity in the same trials. All other experimental designs lack this
internal control. Targets that move away from the position of fixation
have very poor pre-saccadic pursuit, making it impossible to evaluate
whether vector-averaging holds and when target selection commences.
Targets that start more eccentric and move toward the position of
fixation, using the standard step-ramp of Rashbass (1961)
, lack the
saccades whose effect we wanted to study.
A crucial part of the trial was the second segment in which both
targets remained visible. If the monkey made a saccade to one or
the other target during this segment, then we could analyze the effect of the saccade on the sensorimotor transformation
of the two target motions into pursuit movements. To encourage the monkey not to withhold saccades during this segment, we randomized its
length. Monkeys then tended to make saccades while both targets were
visible for the trials in which the segment lasted 348 msec (mean ± SD saccade latency was 224 ± 55 msec). We restricted
our analysis to these trials. To allow the monkey to make a free
choice, fixation contingencies were suspended from the onset of the
second segment until 100-250 msec after the disappearance of one spot, after which monkeys were required to keep eye position within 3° of
the position of the remaining spot. The last two segments of the trial
were added simply to require the monkey to pursue a target until the
end of the trial. Each experiment included all six possible
combinations of two spots moving centripetally in the four cardinal
directions, as well as randomly interspersed trials that presented the
motion of single spots.
Figure 1B shows our basic finding for an individual
trial in which one spot moved downward (short-dashed lines)
and the other spot moved to the right (long-dashed lines).
Before the saccade (arrow b), eye velocity had rightward and
downward components of 3.8 and
4.4°/sec, respectively. Immediately
after the saccade (arrow c), which brought eye position to
the downward moving target, eye velocity was enhanced to
6.5°/sec
in the downward direction but displayed only a minimal rightward
component (1.3°/sec).
We analyzed these trials by relating the metrics of the saccade to the
average pre-saccadic eye velocity (Fig. 1B, 0-10
msec before arrow b) and post-saccadic eye velocity (Fig.
1B, 0-10 msec after arrow c). In Figure
2A, for example,
pre-saccadic eye position was near the position of fixation
(dots), and post-saccadic eye position was either downward
(red plus signs) or leftward (cyan plus signs),
indicating that the monkey had made a saccade to one of the two
targets. Color-coding of the time courses of associated smooth eye
velocity traces (Fig. 2B) illustrates the link
between the target selection for saccades and the post-saccadic pursuit. Presaccadic eye velocity included both downward and leftward components, consistent with vector-averaging. Moreover, pre-saccadic traces associated with saccades to the leftward- (blue
traces) and downward- (magenta traces) moving targets
primarily overlap each other, thus displaying little evidence of any
bias for the spot that will be selected later for tracking. In
contrast, post-saccadic eye velocity was primarily leftward or downward
when the saccade selected the leftward-moving spot (cyan
traces) or the downward-moving spot (red traces),
respectively. A similar result appears in Figure 2, C and
D, for two-spot stimuli consisting of leftward- and
rightward-moving spots.

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Figure 2.
Three examples of the effect of saccadic target
selection on pursuit velocity. Top row shows
pre-saccadic and post-saccadic eye position for trial configurations in
which the two targets moved downward and leftward
(A), leftward and rightward
(C), and upward and leftward
(E). Insets near the origin show
the stimulus configuration. Pre-saccadic eye positions are depicted as
dots, and post-saccadic eye positions are depicted as
plus signs. Points are colored according
to which target the saccade was directed toward (see Results).
Green points and purple crosses in
E mark eye position for vector-averaging saccades with
saccade weights between 0.35 and 0.65. Associated eye velocity for each
position graph is shown in B, D, and
F. Solid black lines are average eye
velocity traces for trials in which one or the other targets was
presented. Each velocity trace is interrupted during the rapid
deflections associated with the saccades. Vertical dashed
lines indicate the time at which one of the targets, not
necessarily the saccade target, was extinguished. After this point in
the trial, increased variability in the traces reflects the fact that
the monkey was forced to track whichever target remained.
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Figure 2, E and F, shows the analysis of a less
common case when some saccades (Fig. 2E, purple
plus signs) did not select either spot but instead took the eye to
a position that represented a weighted average between the positions of
the two spots (cf. Weber et al., 1993
; Edelman and Keller, 1998
; Chou
et al., 1999
). We classified these saccades as averaging if their
saccade weight (see Materials and Methods and below) was between 0.35 and 0.65. For the trials with averaging saccades, the post-saccadic eye velocities (Fig. 2F, purple traces) also
reflected a vector average of the responses to the two spots singly.
Recanzone and Wurtz (1999)
have shown that vector-averaging saccades
can be elicited in a task in which monkeys are cued to track one of two
moving targets if the monkey is given only a brief interval of time to identify the tracking target before initiating eye movements. In
concordance with our results, they found that post-saccadic pursuit for
trials with vector-averaging saccades is also vector-averaging.
To quantify the degree to which final saccadic eye position and
pre-saccadic and post-saccadic pursuit eye velocity reflected averaging
versus preferences for one spot or the other, we calculated a saccade
weight and pre-saccadic and post-saccadic pursuit weights for each
trial (see Materials and Methods). The saccade weight would be 0 or 1 if the saccade landed the eye on one or the other target, respectively.
The saccade weight would be 0.5 if the eye landed equidistant from the
positions of the two targets. Similarly, the pursuit weights would be
0.5 if the eye velocity reflected a vector average of the responses to
the two spots singly. Pursuit weights would be 0 or 1 if eye velocity
were identical to eye velocity evoked by one or the other target singly.
We then applied linear regression to the saccade and pursuit weights to
quantify the degree to which pursuit target selection depends on
saccadic target selection. Figure 3
displays the result of this analysis for the data presented in Figure
2. Each graph plots pre-saccadic or post-saccadic pursuit weight versus
saccade weight for individual trials. If pre-saccadic pursuit does not depend on which target the saccade is directed toward, the pre-saccadic points should plot with a slope of 0. A y-intercept of 0.5 would then indicate perfectly unbiased vector-averaging pursuit.
Indeed, the dashed regression lines for pre-saccadic weights
(x signs) have small slopes (0.264, 0.088, and 0.225;
p < 0.05) (Fig. 3A-C) and
y-intercepts between 0 and 0.5 (0.133, 0.473, and 0.223)
(Fig. 3A-C). In contrast, the post-saccadic pursuit weights
(filled circles) all show a strong positive
relationship to saccade weight (slope of 0.859, 0.744, and 0.685;
p < 0.001) (Fig. 3A-C) and y-intercepts near 0 (
0.185, 0.119, and 0.035) (Fig.
3A-C). Complete post-saccadic dependence of pursuit on the
saccade choice would yield a slope of 1 and a y-intercept of
0.

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Figure 3.
Results of regression analysis demonstrating that
pre-saccadic pursuit can be accounted for by vector-averaging and
post-saccadic pursuit is dominated by the motion of the saccade target.
Data are for the same experiments shown in Figure 2. Each
point plots pursuit weight as a function of saccade
weight for a single trial; x symbols represent
pre-saccadic pursuit, and filled circles represent
post-saccadic pursuit. Perfect vector-averaging would yield a line with
slope of 0 and a y-intercept of 0.5. Perfect target
selection would yield a line with slope 1 and an intercept of 0. Dashed and solid lines show the results
of linear regression for pre-saccadic and post-saccadic data,
respectively.
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The regression analysis is valid only when the monkeys made choices
between the two spots. Although some combinations of two spots did
evoke unbiased choices, others provoked idiosyncratic biases for
particular spot directions. At the extreme, monkeys occasionally chose
spots moving in particular directions as saccade targets to the
complete exclusion of another direction, precluding analysis of the
effects of saccadic target selection. Despite complete randomization of
the rewarded tracking spot, these preferences were fairly consistent
from one day to the next. Only 16.7% of the trial configurations
showed any significant difference (p > 0.05;
2 contingency table with Yates
correction) in the choice biases of individual monkeys from one day to
the following day. As a control on the validity of the regression
analysis, we defined the choice index, which quantifies the degree of
choice bias in each trial configuration (see Materials and Methods).
The choice index would be 1 for completely unbiased choices and 0 if
the monkey consistently made saccades to only one spot direction. The
choice indexes calculated for the trial configurations shown in Figure
2, A,B, C,D,
and E,F are 0.791, 0.240, and
0.615, respectively. The full distribution of choice index is
summarized in the histogram of Figure
4A. Many combinations
of two targets provided values of choice index below 0.5, but a
substantial number had choice index near 1.0, indicating a strong
preference for one target or the other.

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Figure 4.
Summary data for all three monkeys tested for a
total of six pairs of target motions on 8 experimental days.
A is a histogram of choice indexes for all experiments.
Choice indices of 0 and 1 would indicate target pairs in which the
monkey always chose one target direction or in which he made equal
choices to either target. B, Summary of data for all
trial configurations. Slope and y-intercept values from
the regression analysis are plotted as gray squares for
pre-saccadic pursuit and as black circles for
post-saccadic pursuit. The predicted positions for vector-averaging and
winner-take-all pursuit are marked with large crosses in
gray and black, respectively. Two
pre-saccadic outlier points (slopes of 1.07 and 1.65;
y-intercepts of 0.77 and 0.66; choice indexes of < 0.10) have been omitted.
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By displaying the regression statistics and choice bias for all of our
experiments, Figure 4B reveals that the
target-selecting effect of saccade choice is a consistent feature of
our data. Each symbol in this graph summarizes the
regression statistics from one of six two-spot combinations in eight
experiments on three monkeys for pre-saccadic (gray
squares) and post-saccadic (black circles) eye
velocity. The size of each symbol is related to the choice
index for that condition. Smaller symbols indicate more
biased saccade choices and, consequently, less meaningful regression
coefficients. The majority of pre-saccadic points (gray squares) lie near the large gray dashed cross showing
the results expected for vector-averaging (mean ± SD slope of
0.220 ± 0.342; mean ± SD y-intercept of
0.328 ± 0.228). The majority of post-saccadic points (black
circles) lie near the large black dashed cross showing the results expected after pursuit target selection (mean ± SD slope of 0.771 ± 0.349; mean ± SD y-intercept of
0.077 ± 0.199). Post-saccadic eye velocity always showed a strong
effect of saccadic target selection; in fact, we were never able to
find a single trial in which the post-saccadic pursuit was in a
direction inappropriate for the target to which the saccade was made.
Closer examination of Figure 4B reveals that the
pre-saccadic slopes are, on average, slightly >0 and that a couple of
slopes approach 1. This indicates that target-selection signals may
bias pursuit even before the saccade. To quantify the degree to which target selection is detectable at different times during the initiation of pursuit movements, we used a method based on signal detection theory
(Green and Swets, 1966
) similar to that used by Britten et al. (1992
,
1996
). For all trials taken from 32 combinations of two targets in
which the choice index was >0.15, we arbitrarily assigned the two
targets as target 0 and 1, combined all the data from all pairs of two
target motions, and split pre-saccadic (Fig. 5A) and post-saccadic (Fig.
5B) pursuit weights into two groups depending on whether
saccades were directed toward target 0 (gray bars) or
target 1 (black bars). This reveals that the distribution of
pre-saccadic pursuit weights for the two targets are primarily overlapped (Fig. 5A), whereas the post-saccadic pursuit
weights are almost completely separated (Fig. 5B). In Figure
5C, we calculate separate receiver operating characteristic
(ROC) curves for the distributions of pre-saccadic (gray x
symbols) and post-saccadic eye velocity (filled black
circles). The area under these curves, which we call choice
probability after Britten et al. (1996)
, was 0.60 for pre-saccadic and
0.98 for post-saccadic eye velocity. Choice probability can be
interpreted as the probability that one could predict whether the
saccade had been weighted toward target 1, given information about the
weighting of smooth eye velocity relative to the two targets. A choice
probability of 0.5 indicates that the prediction would be random.

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Figure 5.
Choice probability analysis of pursuit target
selection. A, Pre-saccadic distribution of pursuit
weights for trials in which saccades were directed toward target 0 (gray bars) or target 1 (black
bars). Targets 0 and 1 were assigned randomly for each
experimental condition. Black bars are slightly offset
to the right to facilitate viewing of both
distributions. The means of the distribution are indicated with
gray and black arrows, respectively.
B, Postsaccadic distribution of pursuit weights.
C, ROC curves for pre-saccadic (gray x
symbols) and post-saccadic (filled black
circles) pursuit weights from A and
B. The area under the pre-saccadic curve (0.60) and the
post-saccadic curve (0.98) are the choice probabilities calculated for
eye velocity in the last 10 msec before and the first 10 msec after the
saccade. D, Choice probability as a function of time in
10 msec bins before (gray x symbols) and after
(filled black circles) saccade, summarizing
combined data for all three monkeys. Error bars on each
point indicate the 95% confidence interval as estimated
by bootstrapping (see Materials and Methods). E, Choice
probability calculated for each monkey separately:
circles, Mo; triangles, Ka;
squares, Im. Confidence intervals have been left off to
facilitate viewing. See Results for a description of the statistical
significance of each curve.
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One important issue is whether the after-effects of the saccade itself
contaminate the first 10 msec of smooth eye velocity, making it an
unacceptable index of the true post-saccadic eye velocity. Lisberger
(1998)
confronted this issue in two ways. First, he conducted a
detailed analysis of the filtering methods and showed that the measures
we have used are not contaminated. Second, he showed that post-saccadic
eye velocity was enhanced in the direction of the motion of single
targets, not in the direction of the saccade as might be anticipated if
the measurement were contaminated by the physical after-effects of the
saccade. We provide one additional demonstration of the validity of
using this interval in Figure 5D, which analyzes the time
course of the development of the choice probability before and after
the saccade. Analysis of sequential 10 msec intervals of post-saccadic eye velocity shows that the target choice for pursuit is complete in
the first 10 msec after the saccade and persists without modification for the rest of the trial.
Figure 5D also reveals the evolution of target selection for
pursuit before the saccade. Approximately 45 msec before the saccade,
the choice probability increases above chance probability, indicating
that pre-saccadic pursuit has access to target selection signals from
at least this time on. Depending on the exact timing of the internal
signals for pursuit, the time course of development of choice
probability indicates that target-selection signals can weakly bias
pursuit even before the saccade has been executed, but that the full
force of their effect is not released until immediately after the
saccade occurs. Moreover, when the ROC analysis was repeated for each
monkey individually (Fig. 5E), a clear pre-saccadic bias
could be seen only in one monkey (squares). Another monkey had a pre-saccadic bias that only became significant in the last 10 msec before a saccade (circles), and the third monkey showed only marginally significant bias throughout the 100 msec before a
saccade (triangles). The statistical significance of the
choice probability was evaluated using bootstrapping (see Materials and Methods) and is displayed in Figure 5D as 95% confidence intervals.
In previous sections, we established a temporal correlation between the
transition from vector-averaging to target selection in pursuit and the
execution of a targeting saccade. However, this temporal correlation
does not necessarily imply coordination between the two systems. For
example, pursuit target selection could occur at a relatively fixed
latency from target motion onset, independent of targeting saccades. If
that latency were close to the average saccade latency, the temporal
correlation we observe could simply be coincidental. The large
variability in saccade latency in our experiments allowed us to examine
this issue. We divided the trials into groups according to saccade
latency and then analyzed pursuit target selection within each group as
a function of the time since the onset of target motion. Figure 6 plots choice probability as a function
of time since the onset of target motion for trials with saccade
latencies between 226-275 msec (filled black
circles), 251-300 msec (open cyan circles), 276-325
msec (filled blue squares), 301-350 msec (open
green squares), and 326-375 msec (filled red
triangles). Time points between the average saccade start and end
have been omitted because there was not enough data to include in the
analysis. Comparison of the choice probability for groups of trials
with different saccade latencies reveals that pursuit target selection
depends on the time of occurrence of the saccade. In particular,
comparison of the pre-saccadic data for saccades with the longest
latencies (filled red triangles) and post-saccadic
data for saccades with the shortest latencies (filled
black circles) shows that choice probability does not depend
simply on the time since the onset of target motion.

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Figure 6.
Temporal link between saccade execution and target
selection for pursuit. Choice probability curves compiled separately
for trials with saccade latencies between 226-275 msec
(filled black circles), 251-300 msec
(open cyan circles), 276-325 msec (filled
blue squares), 301-350 msec (open green
squares), and 326-375 msec (filled red
triangles). Time points between the average saccade start and
end have been omitted because there were not enough data to include in
the analysis.
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Previous experiments that have examined saccade latencies have revealed
that vector-averaging saccades occur more frequently at shorter
latencies and that target-directed saccades occur at longer latencies
(Becker and Jürgens, 1979
; Findlay, 1982
; Ottes et al., 1985
;
Coëffé and O'Regan, 1987
; He and Kowler, 1989
; Chou et
al., 1999
). To determine whether our data follows the same pattern, we
constructed a plot of saccade weight versus latency for individual
saccades from each of our monkeys (Fig.
7). In each monkey, averaging saccades
tended to have shorter latencies, whereas targeting saccades occurred
at least 200 msec after target motion onset. Thus, we infer that
saccade target selection can be completed within 200 msec of the onset
of the target, although saccades may occur with latencies much longer
than 200 msec. Furthermore, this inferred transition from
vector-averaging to target selection is in stark contrast to the
pursuit transition, which is time-locked to the occurrence of a
targeting saccade.

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Figure 7.
Time course of transition from averaging to
targeting saccades. A, B,
C, Saccade weight plotted as a function of saccade
latency for monkeys Im, Ka, and Mo, respectively. Different
symbols (squares, circles,
and x symbols) represent data collected on different
experimental days. Two outlier points (latency of 279 and 355 msec;
saccade weight of 0.14 and 0.06) have been omitted for monkey
Ka.
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 |
DISCUSSION |
We used two-target stimuli to demonstrate seemingly natural and
automatic selection of a pursuit target when a saccade is made to that
target. Because of neural processing delays, the sensory signals
driving the pursuit system just after a saccade must originate from a
time before the saccade pointed the fovea at the selected target
(Lisberger and Westbrook, 1985
; Newsome et al., 1985
; Groh et al.,
1997
). Thus, when two targets are present at similar eccentricities
before the saccade, as in our stimuli, the two sensory signals
available to drive post-saccadic pursuit are equally salient. This
design allowed us to show that post-saccadic pursuit is selectively
enhanced for the visual motion signals present at the endpoint of the
saccade. Detailed analysis revealed that target selection for pursuit
was detectable weakly 45 msec before the onset of the saccade in one
monkey but is most pronounced starting immediately after the saccade.
Moreover, target selection in the pursuit system is time-locked to the
execution of the saccade and not to the onset of target motion. Our
data provide evidence for a mechanism of target choice in which the
execution of one kind of movement is time-locked to the execution of
another kind of movement.
Studies on attention and target choice usually have used paradigms in
which subjects were given previous information about the location or
properties of targets that would be important. This has been a
productive approach and has yielded many demonstrations of neural
correlates of attention, including some within the visual motion system
that provides inputs for pursuit (Treue and Maunsell, 1996
). Similar
approaches have proved useful in gaining insight into the neural
mechanisms of target choice for saccades (Schall and Hanes, 1993
;
Schall et al., 1995
). Most of the previous research on target selection
for pursuit has been based on the same precepts as experiments on
attention and saccades. In experiments that use the standard step-ramp
target motion of Rashbass (1961)
to delay saccades, subjects can be
cued about which target to track based on color (Ferrera and Lisberger,
1995
; 1997a
), form (Krauzlis et al., 1999
; Recanzone and Wurtz, 1999
;
Recanzone and Wurtz, 2000
), or location (Krauzlis et al., 1999
). Target
selection in these cued paradigms tends to increase the latency of
pursuit onset (Ferrera and Lisberger, 1995
; Krauzlis et al., 1999
),
suggesting that discriminating and identifying the cued target inhibits
pursuit initiation. Uncovering the neural underpinnings of target
selection for these paradigms has proven difficult; only modest
modulations of neural responses have been found under only a subset of
conditions (Ferrera and Lisberger, 1997b
; Recanzone and Wurtz, 2000
).
We therefore sought to find a more natural pursuit paradigm that might
give insight into the time course of development of target selection in
pursuit. By allowing monkeys to freely choose between two identical
targets, we have revealed a target-selection mechanism that temporally
links target selection for pursuit and saccades.
Previous research on the initiation of pursuit had revealed two results
that were essential building blocks for the present study. First,
Lisberger and Ferrera (1997)
showed the use of vector-averaging to
create the pre-saccadic smooth eye velocity when two targets move
toward the position of fixation in different directions. Second,
Lisberger (1998)
demonstrated that pursuit is strongly enhanced in the
wake of a saccade to the position of the tracking target. The present
paper shows that this enhancement is not merely arousal but that
the enhancement is selective for visual motion present at the endpoint
of the saccade and may therefore be comparable with attention.
Temporal linkage of saccade and pursuit target selection could arise
from at least two different underlying neural organizations. A common
target-selection command could be communicated in parallel to the
separate neural pathways for pursuit and saccades (Fig. 8B). Alternatively,
saccadic command signals could select a target for the pursuit system
directly, thus coordinating target selection for saccades and pursuit
via a serial communication (Fig. 8A). Our data lend
support for the serial hypothesis. We suggest that the serial form of
target selection involves post-saccadic enhancement, which is selective
for the visual motion at the endpoint of the saccade and is
accomplished by a direct influence of saccadic commands on the pursuit
system. We note that the serial hypothesis does not preclude other
signals directly influencing target selection for the pursuit system.
In fact, other experiments have demonstrated that pursuit can select
targets without a saccade (Kowler et al., 1984
; Ferrera and Lisberger,
1995
, 1997a
; Krauzlis et al., 1999
), and it is therefore clear that
higher cognitive signals can also directly influence target selection
for the pursuit system.

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Figure 8.
Two alternative models to explain the link between
saccade and pursuit target selection. A, Serial model.
Saccadic command signals control pursuit gain and target selection.
B, Parallel model. A single target-selection command is
distributed in parallel to the saccadic and pursuit systems.
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|
Some evidence for the parallel hypothesis comes from the fact that
pursuit and saccades show similar changes in latency in a "gap"
paradigm (Krauzlis and Miles, 1996a
,b
). These results indicate that the
release of fixation for both types of movements is programmed together
and supports the idea that target selection is done once for both types
of movements (Fig. 8B). However, our data show that
initiation of movement is not always equivalent to target selection; in
our variant of the two-target paradigms, pursuit has a normal latency,
but target choice for pursuit does not occur until the time of the
saccade, often hundreds of milliseconds after pursuit initiation.
A number of studies of saccadic vector-averaging in monkeys have found
that saccades of shorter latencies, and especially "express"
saccades (Fischer and Boch, 1983
), tend to display more averaging
behavior and that target selection develops later (Weber et al., 1993
;
Edelman and Keller, 1998
; Chou et al., 1999
). Our analysis of the
latency of vector-averaging versus target-directed saccades
corroborates these findings and may provide a way to probe the time
course of target selection for saccades in the same trials used to
analyze the time course of target selection for pursuit. The data
showed that averaging saccades tend to have shorter latencies and that
saccade endpoints come closer to one of the two targets as the latency
of saccade initiation gets longer. One interpretation of these data are
that the time course of the transition from averaging to targeting
saccades reflects a process of target selection and that the nature of
the saccade depends on when it is initiated relative to a fixed
selection process. If this interpretation is correct, then our data
imply that pursuit target selection is caused by the saccade itself
(Fig. 8A), because the time course of pursuit target
selection is linked to the execution of the saccade, which itself would
not be linked to the choice of the saccade target.
We realize that all of our measures for the time at which target
selection occurs are behavioral measures and that there are other
interpretations of the time course of the transition from averaging to
targeting saccades. If, for example, saccade target selection happens
at the time of saccade execution but requires longer latencies for more
complete separation of the visual inputs from two nearby targets, then
our data cannot distinguish whether saccade and pursuit target
selection proceed in series (Fig. 8A) or in parallel
(Fig. 8B). It is tempting to infer the timing of neural selection signals from other experiments, but our task and
training protocol are quite different from those studied previously and
might therefore yield quite different results. Indeed, changes in the
training protocol for the search array task have been shown to result
in dramatic changes in the time course of selection in neural signals
(Bichot et al., 1996
). Nevertheless, the time course of target
selection for saccades must be visible in the form of neural signals
that distinguish between target and distractor sometime before changes
can be observed in behavior. For a search task in which a monkey is
trained to saccade to the oddball target, neural activity evolves to
signal the target in the 100 msec preceding a saccade (Schall and
Hanes, 1993
). It would favor the hypothesis that saccade execution
selects targets for pursuit if the same neurons were found to indicate
the saccade target 100 msec before the execution of the saccade in our task.
We therefore suggest that pursuit target choice is accomplished partly
by using the control signals for saccades to selectively enhance the
strength of visual motion inputs to the pursuit system from the region
of visual field at the endpoint of the saccade. Given that the saccadic
and pursuit systems work in concert under natural conditions to reduce
positional and velocity discrepancies between the fovea and the
tracking target, it would make sense to link inextricably the choice of
tracking targets for these two components of visual tracking. Our
suggestion rests heavily on the tight links between saccade execution
and post-saccadic enhancement of pursuit (Lisberger, 1998
) and between
post-saccadic enhancement and target selection (present study). Saccade
control signals are available from a number of different cortical areas during the relevant interval from 45 msec before the onset to the end
of a saccade and have been shown to have strong modulatory effects on
receptive field properties of some neurons. For instance, in the
lateral intraparietal area, neurons have been shown to dynamically remap their receptive fields in anticipation of a saccade
(Duhamel et al., 1992
). Post-saccade target choice for pursuit could be
accomplished by an analog to this type of effect of saccade control
signals but for direction-selective neurons in the parts of the visual
motion pathways that provide inputs for pursuit. It might be reasonable
to expect that the effect of saccadic target-selection signals on the
pursuit system is mediated by cortical neurons. However, given that
even premotor neurons at the furthest periphery of the saccadic motor
system have been reported to convey pursuit signals (Tomlinson and
Bance, 1992
; Petit et al., 1999
; Missal et al., 2000
), sites farther down the pursuit pathway in the brainstem also remain a possibility.
The "spotlight theory" of visual attention (James, 1890
) (for
review, see Posner and Petersen, 1990
; Desimone and Duncan, 1995
)
proposes attention as a limited computational resource that can be
directed selectively to a part of the visual field to enhance processing. Psychophysical experiments indicate that the size of the
spotlight of attention can be adjusted dependent on the specific
demands of the task (Eriksen and Yeh, 1985
; Eriksen and St. James,
1986
) so that an adjustable zoom lens might be an appropriate analogy.
Our finding that post-saccadic enhancement is selective for the motion
of the saccade target suggests that the pursuit system may operate in
an analogous manner, whereby target choice controls the size of an
aperture through which the pursuit system views the world. We suggest
that the aperture is wide open, and the gain at each site in the
aperture is set low during fixation; any motion becomes a candidate for
a pursuit target, and the inputs from multiple, conflicting targets are
averaged. Once a saccade selects the target, then the aperture becomes
much smaller; visual motion signals from the spatial location of the
saccade target are enhanced selectively. We suggest that post-saccadic
enhancement of pursuit provides a robust behavioral assay for studying
how visual processing can be selectively enhanced in a spatially
specific manner.
 |
FOOTNOTES |
Received Oct. 16, 2000; revised Dec. 13, 2000; accepted Dec. 19, 2000.
This work was supported in part by National Eye Institute Grant
EY03878. S.G.L. is an Investigator of the Howard Hughes Medical Institute. J.L.G. was supported by a graduate fellowship from the
National Science Foundation. We are grateful to Dr. Michael Shadlen for
suggesting a key element in the experimental design and for comments on
a previous version of this manuscript. We thank Dr. I-han Chou
and the other members of the Lisberger laboratory for many valuable
discussions and for comments on earlier drafts of this manuscript.
Correspondence should be addressed to Justin L. Gardner, Department of
Physiology, 513 Parnassus Avenue, HSE-802A, University of California at
San Francisco, Box 0444, San Francisco, CA 94143-0444. E-mail:
justin{at}phy.ucsf.edu.
 |
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