The Antisaccade Task: Visual Distractors Elicit a Location-Independent Planning ‘Cost’

The presentation of a remote – but not proximal – distractor concurrent with target onset increases prosaccade reaction times (RT) (i.e., the remote distractor effect: RDE). The competitive integration model asserts that the RDE represents the time required to resolve the conflict for a common saccade threshold between target- and distractor-related saccade generating commands in the superior colliculus. To our knowledge however, no previous research has examined whether remote and proximal distractors differentially influence antisaccade RTs. This represents a notable question because antisaccades require decoupling of the spatial relations between stimulus and response (SR) and therefore provide a basis for determining whether the sensory- and/or motor-related features of a distractor influence response planning. Participants completed pro- and antisaccades in a target-only condition and conditions wherein the target was concurrently presented with a proximal or remote distractor. As expected, prosaccade RTs elicited a reliable RDE. In contrast, antisaccade RTs were increased independent of the distractor’s spatial location and the magnitude of the effect was comparable across each distractor location. Thus, distractor-related antisaccade RT costs are not accounted for by a competitive integration between conflicting saccade generating commands. Instead, we propose that a visual distractor increases uncertainty related to the evocation of the response-selection rule necessary for decoupling SR relations.


Introduction
Prosaccades are rapid eye movements that bring a target of interest onto the fovea. The majority of work involving prosaccades has employed an experimental paradigm wherein a target stimulus is presented in an impoverished (i.e., empty) visual environment. Results from this work have shown that prosaccades are characterized by short latencies and accurate endpoints -a finding attributed to their mediation via dedicated retinotopic motor maps in intermediate layers of the superior colliculus (SC) [1]. It is, however, important to recognize that the visual environments in which humans interact are rarely comprised of a single stimulus; rather, successful prosaccades require disentangling the location of a target from task-irrelevant visual cues. As an experimental corollary, the visual distractor paradigm requires that participants ignore the presentation of a task-irrelevant visual distractor and saccade to a visual target. A number of studies have shown that the location of a distractor relative to a target differentially influences prosaccade reaction times (RT) and amplitudes. For example, Walker and colleagues [2] (see also [3]) reported that the concurrent presentation of a target and remote distractor (i.e., > 20°in angular coordinates from the target axis) produced longer RTs than when the target was presented alone or when presented with a proximal distractor (i.e., within ± 20°of the ipsilateral target axis) (the remote distractor effect: RDE) (see Fig 1 for schematic representation). In turn, distractor location elicits a converse effect on prosaccade amplitudes such that proximal distractors bias amplitudes toward the distractor (i.e., the global effect), whereas remote distractors do not influence amplitudes [2,[4][5][6] (for review see [7]).
A number of studies have attributed the RDE and global effect to the motor-related properties of neurons in the SC. In particular, the competitive integration model (CIM) [8,9] contends that the visual information supporting target and distractor are concurrently transformed into motor programs within a common retinotopic motor map in the intermediate layers of the SC. Given the common retinotopic mapping, target-and distractor-specific saccade neurons compete for a common threshold and create conflicting saccade generation commands that require additional time to resolve (see also [10]). More directly, the CIM asserts that the RDE results from a long-range intercollicular inhibitory pathway [11] in which saccade-related activity at one location inhibits the activation of distant locations within the motor map. Thus, active   [2] illustrating the converse effects of proximal and remote distractors on saccade amplitude and reaction time. Distractors presented ipsilateral and within ±20°f rom the horizontal target ("x") axis (i.e., the area contained within the hatched lines) bias saccade amplitudes toward the distractor (i.e., the global effect) but do not influence reaction time, whereas distractors located outside of this critical window (i.e., > 20°from the horizontal target axis or at the location of central fixation) elicit a delay in reaction time (i.e., the remote distractor effect) but do not influence saccade amplitude.
saccade neurons associated with a remote distractor delay the motor-related buildup properties serving a saccade to the target location [9] (for alternative account see [2,12]). In turn, when a distractor is presented proximal to a target the motor activity related to each stimulus merges into a single movement vector that represents a spatially averaged response [13,14]. Notably, although the spatially averaged response of a proximal distractor does not engender a cost to saccade latency it does result in a response that falls between the target and distractor (i.e., the global effect).
To our knowledge, previous work has not examined location-specific distractor effects for antisaccade planning times. In particular, antisaccades represent a non-standard motor task requiring that participants saccade mirror-symmetrical (i.e., 180°spatial transformation) to the location of an exogenously presented target. Extensive evidence has shown that antisaccades produce longer RTs [15,16], increased directional errors [17], and less accurate and more variable endpoints [18][19][20] than prosaccades. Moreover, human and non-human primate neuroimaging and electrophysiological findings have attributed the antisaccade planning 'cost' to a two-component process requiring the top-down inhibition of a stimulus-driven prosaccade (i.e., response suppression) and the visual remapping of a target to a mirror-symmetrical location in space (i.e., vector inversion) (for review see [21]).
The present investigation sought to determine whether distractor location influences antisaccade planning times in a manner similar to prosaccades. Notably, the decoupled stimulus and response (SR) relations associated with the antisaccade task provide a basis for determining whether the sensory (i.e., target)-and/or motor (i.e., goal)-related features of a distractor influence response planning. In order to highlight this issue, Fig 2 shows that in an antisaccade task the sensory properties (i.e., veridical location) of a 'proximal' distractor are contained Sensory-and motor-related spatial properties of a distractor in the antisaccade task. The top panel shows that although the sensory-related activity of a 'proximal' distractor in an antisaccade task is in the same visual field as the target stimulus, the motor-related activity is 'remote' (i.e., the opposite visual field). The bottom panel shows that the sensory-related activity of a 'remote' distractor in an antisaccade task is in the visual field opposite to the target (i.e., it is remote); however, the motor-related activity is proximal to the target (i.e., the same visual field). within the same visual field as the target stimulus; however, the goal-location of the response is in the mirror-symmetrical visual field (i.e., remote to the target's veridical location). In other words, the sensory-related property of the distractor is proximal to the target, whereas the motor-related property of the distractor is remote to the target. In turn, Fig 2 shows the converse relationship associated with a 'remote' distractor. As such, a corollary prediction drawn from the CIM regarding antisaccades is that the saccade-related buildup properties serving a proximal-but not a remote-distractor should delay planning times. Indeed, a location-specific increase in RT for a proximal distractor would support the contention that distractor costs -in the antisaccade task-arise from a motor-related competition between conflicting and directionally alternative saccade generation commands. More directly, a proximal distractor would result in distractor and saccade-related motor activity that is encoded within remote areas of the retinotopic motor maps of the SC. As such, a proximal-but not remote-distractor would induce a long-range attenuation of motor-related buildup neurons serving antisaccade planning. As an alternative to the RDE, it is possible that the top-down response-selection rule necessary for a response with decoupled SR relations influences planning times independent of the distractor's spatial location. The basis for this prediction stems from a choice-RT study by Kveraga and colleagues [22] showing that increasing the number of SR alternatives (i.e., distractors) associated with an antisaccade-but not prosaccade-task conforms to the log-linear increase in RT defined by Hick's law [23]. According to Kveraga et al., antisaccades conform to Hick's law because the top-down requirements of SR decoupling requires: (1) an obligatory response-selection strategy that entails the spatial transformation of the target vector, and (2) an increased response-selection uncertainty related to the processing of each potential SR alternative. In turn, Kveraga et al. proposed that prosaccades do not adhere to Hick's law because localization of the target among distractor(s) serves as the imperative to automatically map the target's spatially encoded visual activity into a motor response. As such, if response-selection uncertainty underlies antisaccade distractor costs then RT delays should be independent of the distractor's spatial location.
The present study sought to determine whether-and to what degree-the spatial location of a distractor relative to a visual target differentially influences pro-and antisaccade planning times. To that end, we employed target and distractor locations similar to that used in Walker et al.'s [2] examination of the RDE for prosaccades (see Experiment 1a of that work). In particular, pro-and antisaccades were completed in a condition wherein a target was presented alone (i.e., target-only condition) and conditions wherein a distractor was presented at proximal and remote locations to the target and along the same horizontal axis (see Fig 3). In terms of potential research outcomes, if antisaccades are susceptible to the same long-range inhibition as prosaccades than the motor-and not the sensory-related location of the distractor should result in an increase in RT. In turn, if an obligatory process of response-selection influences antisaccade planning then distractor-related RT costs should be location-independent.

Participants
Fifteen individuals (11 female and 4 male: age range 18-30 years) from the University of Western Ontario community volunteered for this experiment. All participants were self-declared right-hand dominant with normal or corrected-to-normal vision. Participants signed consent forms approved by the Office of Research Ethics, the University of Western Ontario, and this work was conducted in accord with the ethical standards outlined in the Declaration of Helsinki.

Apparatus and procedure
Participants were seated at a table (775 mm in height) with their head placed in a head-chin rest for the duration of the experiment. Visual stimuli were presented on a 30-inch LCD monitor (60 Hz, 8 ms response rate, 1280 × 960 pixels, Dell 3007WFP, Round Rock, TX, USA) placed 550 mm from the participant and centered on their midline. Point of gaze data were obtained from each participant's left eye via a video-based eye-tracking system (Eye-Trac 6: Applied Science Laboratories, Bedford, MA, USA) sampling at 360 Hz. Prior to data collection a nine-point calibration of the viewing space was performed and confirmed via an immediate follow-up calibration. Two additional monitors that were visible only to the experimenter provided: (1) real-time point of gaze information, (2) a visual depiction of trial-to-trial saccade kinematics (i.e., displacement, velocity), and (3) information on the accuracy of the eye tracking system (i.e., to allow for drift correction or re-calibration when necessary). All computer events were controlled via MATLAB (Version 7.8.0, The MathWorks, Inc., Natick, MA, USA) and the Psychophysics Toolbox extensions (version 3.0) [24]. The lights in the experimental suite were extinguished during data collection.
Visual stimuli included a white fixation cross (0.7°) centered horizontally on the monitor and at the eye level of the participant. White diagonal crosses (0.7°) served as target stimuli and were located 8°left and right of fixation. Additionally, unfilled white circles (0.7°) served as task-irrelevant stimuli (i.e., distractors) and were presented along the same horizontal axis as the fixation and target stimuli. Distractors were located: (1) ipsilateral to the target at an eccentricity of 4°from the fixation cross (i.e., ipsilateral distractor: ID), (2) at the location of the fixation cross (i.e., 0°and henceforth referred to as the midline distractor: MD), (3) contralateral to the target at an eccentricity of 4°from the fixation cross (i.e., contralateral proximal distractor: CPD), and (4) contralateral to the target and at an eccentricity of 8°from fixation cross (i.e., contralateral distal distractor: CDD) (see Fig 3). The different distractor locations were selected Timeline of visual events for a target presented in the right visual field. A white fixation cross was presented for a randomized foreperiod (1,000-2,000 ms). Following the foreperiod, the fixation cross was extinguished and a visual target was presented left or right of fixation for 50 ms. For 80% of trials, a visual distractor was presented concurrent with the target at a proximal (i.e., ipsilateral distractor: ID), or remote (MD, CPD, CDD) spatial location along the horizontal target axis. For the remaining trials a target was presented without a distractor (TO). The onset of the target (and distractor) served as the imperative to complete the instructed pro-or antisaccade. to be comparable to those employed in Experiment 1a of Walker et al's [2] examination of the RDE for prosaccades.
At the start of each trial, the fixation cross was presented and participants were instructed to direct their gaze to its location. Once a stable gaze of the fixation cross was achieved (±1.5°for 420 ms), a randomized foreperiod (1,000-2,000 ms) was initiated during which time the fixation cross remained visible. Following the foreperiod, the fixation cross was extinguished and a target stimulus (i.e., target-only condition: TO), or target stimulus with distractor (i.e., ID, MD, CPD, CDD conditions) was presented for 50 ms (see Fig 3 for timeline of visual events). The onset of the target stimulus served as the cue to generate a pro-or antisaccade "as quickly and accurately as possible" and to ignore the irrelevant distractor when present. Prosaccades entailed a response to the target's veridical location, whereas antisaccades entailed a response mirror-symmetrical to the veridical target location. A 50 ms target (and distractor) presentation was used so that the target was unavailable throughout response planning and execution-a method requiring visual vector inversion for antisaccades as opposed to a continuous target presentation wherein antisaccades may be mediated via an obligatory shift of attention from the target to a homologous region in space [25]. Further, the brief presentation ensured that neither pro-nor antisaccades trials provided retinal feedback related to response accuracy.
Participants completed a single block of prosaccades and a single block of antisaccades and the ordering of blocks was randomized. Pro-and antisaccades were performed in separate blocks because randomly interleaving tasks inhibits the normally stimulus-driven nature of prosaccades and results in planning behaviours that are akin to antisaccades [25,26]. In particular, an antisaccade completed prior to a prosaccade engenders a lingering non-standard taskset that selectively increases prosaccade RTs (i.e., the unidirectional prosaccade switch cost [26,27]). As such, the block ordering technique used here isolated distractor location effects separately for pro-and antisaccades. As noted above, responses were completed in target-only (TO) and four distractor conditions (ID, MD, CPD, CDD) that were randomly interleaved within each block. In addition, the visual field (left, right) associated with the target stimulus was randomized within each block. For each block, participants completed 12 trials to each of the aforementioned trial-type by visual field combinations (i.e., 240 total experimental trials).

Data analysis and dependent variables
Displacement data were filtered offline using a dual-pass Butterworth filter employing a lowpass cut-off frequency of 15 Hz. Filtered displacement data were used to compute instantaneous velocities via a five-point central finite difference algorithm. Acceleration data were similarly obtained from the velocity profiles. Saccade onset was determined on the basis of velocity and acceleration values that exceeded 30°/s and 8,000°/s 2 , respectively. Saccade offset was marked when velocity fell below 30°/s for 15 consecutive frames (i.e., 42 ms). The dependent variables were reaction time (RT: time from target onset to movement onset) and saccade amplitude in the horizontal movement direction. Dependent variables were examined via 2 (task: prosaccade, antisaccade) by 5 (trial-type: TO, ID, MD, CPD, CDD) repeated measures ANO-VAs. Post-hoc decompositions for trial-type were completed by contrasting each distractor condition to their respective pro-or antisaccade TO condition counterpart via paired samples t-tests. Only directionally correct pro-and antisaccade trials were analyzed. Accordingly, for each participant we excluded on average 3% and 10% of pro-and antisaccade trials, respectively. In particular, prosaccade errors were elicited only when a distractor was presented contralateral to the target and errors for CPD (11%) and CDD (7%) conditions did not reliably differ, t (14) = 1.42, p = 0.17. For antisaccades, the MD condition (5%) elicited fewer errors than the TO condition (16%), t(14) = -2.75, p = 0.02, whereas the errors for the ID (15%), CPD (8%), and CDD (10%) conditions did not reliably differ from the TO condition (ts(14) < 1). We further note that for each participant an average of 2% of trials were removed due to: (1) signal loss (i.e., blinking), (2) RT greater than two standard deviations above the mean group performance (i.e., RT > 700 ms), and (3) an anticipatory response (i.e., RT < 85 ms).
Although the preceding analyses provided a basis to determine which distractor conditions reliably differed from the TO condition, it does not provide a framework to identify withintask differences in the magnitude of distractor costs. Thus, we computed reaction time difference scores (i.e., distractor condition minus TO condition) separately for each task (i.e., proand antisaccade) and distractor condition combination. Pro-and antisaccade difference scores were submitted to separate one-way ANOVAs. As expected, results for prosaccades showed that the ID condition (12 ms, SD = 34) produced a smaller difference score than the other  [28]. Confidence intervals were computed based on the mean-squared error term for trial-type separately for pro-and antisaccades. The top-right and bottom-right offset panels show mean distractor RT difference scores for pro-and antisaccades, respectively. Error bars represent between-participant 95% confidence intervals [29,30]. The absence of overlap between error bars and zero (i.e., horizontal axis) provides a graphical depiction of a reliable difference that can be interpreted inclusive to a test of the null hypothesis.
To determine if trial-type elicited a planning-related speed-accuracy trade-off [31] we computed correlation coefficients relating participant-specific mean RT and amplitude data separately for each pro-and antisaccade trial-type (i.e., TO, ID, MD, CPD, CDD). Correlation coefficients were then subjected to a Fisher r-to-z transformation and submitted to 2 (task: prosaccade, antisaccade) by 5 (trial-type: TO, ID, MD, CPD, CDD) repeated measures ANOVA.  [28]. The top-right and bottom-right offset panels show mean distractor amplitude difference scores for pro-and antisaccades, respectively. Error bars represent between-participant 95% confidence intervals [29,30]. The absence of overlap between error bars and zero (i.e., horizontal axis) provides a graphical depiction of a reliable difference that can be interpreted inclusive to a test of the null hypothesis. Results yielded a significant task by distractor interaction, F(4,56) = 5.04, p < 0.005. In terms of prosaccades, post hoc examination revealed a larger RT-amplitude relation in the ID (0.56) compared to the TO condition (0.20), t(14) = 3.27, p < 0.01, whereas the MD (-0.01), CPD (-0.01), and CDD (0.24) conditions did not reliably differ from the TO condition, (ts(14) = -1.7, -1.7, and 0.21, respectively, ps > 0.11). In terms of antisaccades, the RT-amplitude relation for the ID condition (-0.20) was smaller than the TO condition (-0.02), t(14) = -2.20, p < 0.05, whereas the MD (-0.03), CPD (-0.06) and CDD (-0.06) conditions did not reliably differ from the TO condition (ts(14) < 1). Thus, the relationship between RT and amplitude was neither reliably nor consistently modulated across the different pro-and antisaccade trial-types used here.

Discussion
Prosaccade RTs: A replication of Walker et al. (1997) The target and distractor conditions employed here included a subset of those used by Walker et al. [2]. Fig 4 shows that remote distractor conditions (i.e., MD, CPD, CDD) elicited longer prosaccade RTs than the TO condition, whereas the proximal distractor (i.e., ID) and TO conditions did not reliably differ. Moreover, the average cost of a remote distractor was 84 ms, and the magnitude of this effect did not vary across the different remote distractor locations. Thus, our results demonstrate a reliable RDE in line with Walker et al. Of course, such a finding is consistent with the CIM's assertion that remote distractors delay prosaccade planning times via a long-range attenuation of preparatory activity in the SC. Notably, however, the RDE magnitude in the current experiment was larger than that reported in Walker et al's original examination. In their work, contralateral and midline distractors elicited a mean RDE of 10 and 40 ms, respectively (see also [32]). To account for the discrepant findings, we note that the visual field (left, right) associated with the target stimulus in the current experiment was randomized within each block of trials, whereas Walker et al. restricted target presentation to a single visual field. As such, the use of a blocked target direction may have facilitated enhanced preparatory saccade-related activity in the SC corresponding to the target direction [33] and thereby improved discrimination of target and distractor at response cuing. Regardless of this difference, both studies reliably indicate that proximal and remote distractors differentially influence prosaccade planning times.

Prosaccade amplitudes are influenced by proximal and remote distractors
Prosaccades in the ID condition landed between the target and distractor. This result reported previously by Walker et al. [2] and others [4][5][6]34] has been interpreted to reflect that the motor representation of target and distractor locations on a common short-range motor map within the intermediate layers of the SC results in the spatial averaging of motor-related saccade activity (i.e., the global effect). Notably, however, we also observed that amplitudes for remote distractor conditions were longer than the TO condition. This finding counters Walker et al. who reported a null amplitude effect of remote distractors. One possible explanation for the between-experiment discrepancy is that the current study employed a brief (50 ms) target (and distractor) presentation, whereas the target (and distractor) used in Walker et al.'s study was available throughout response execution. As such, the continuous target (and distractor) vision associated with Walker et al. may have served to support on-or offline corrections to the primary saccade trajectory [20,35,36]. To address this issue, we completed a supplemental experiment involving 10 participants (7 female and 3 male: age range 18-30 years) and used the same procedures as our main experiment with the only difference being that the target (and distractor) was available throughout response execution (i.e., target and distractor were extinguished at saccade offset). The results for the supplemental experiment are presented in Fig 6 and provide a replication of our main experiment. First, results for RT produced a reliable RDE in line with our main experiment. Second, amplitudes in the ID condition were more hypometric than the TO condition, t(9) = -10.32, p < 0.001, whereas amplitudes in the MD, CPD, and CDD conditions were less hypometric than the TO condition, ts(9) > 3.17, ps < 0.02. Thus, target and distractor vision throughout response execution does not account for the discrepancy between our results and Walker et al. As an alternative account, we note that Walker Results for RT showed that TO and ID conditions produced equivalent RTs, t(9) = 0.85, p = 0.42, whereas RTs for MD, CPD, and CDD conditions were greater than the TO condition, ts(9) > 7.57, ps < 0.001. Error bars for these panels represent within-participant 95% confidence intervals [28] and were computed based on the mean-squared error term for trial-type. The right offset panels show the mean reaction time and saccade amplitude difference scores. Error bars represent between-participant 95% confidence intervals [29,30]. The absence of overlap between error bars and zero (i.e., horizontal axis) provides a graphical depiction of a reliable difference that can be interpreted inclusive to a test of the null hypothesis. Further, we note that Benson [37] employed a RDE paradigm wherein target and distractor vision was available throughout response execution and the target direction was randomized between left and right visual space. In contrast to Walker et al. [2], Benson reported a larger RDE magnitude for contralateral-compared to central-distractors. In line with Benson, prosaccade RT difference scores associated with the remote distractor conditions in the supplemental experiment yielded a significant main effect, F(1,9) = 7.09, p < 0.01, such that the contralateral distractors (i.e., CPD: 53 ms; SD = 22, CPD: 49 ms; SD = 15) produced a larger magnitude RDE than the midline distractor (i.e, MD condition: 37 ms; SD = 9), ts(9) > 2.79, ps < 0.05. doi:10.1371/journal.pone.0122345.g006 et al. employed six participants, whereas the main and supplemental experiments used here employed 15 and 10 participants, respectively. It is therefore possible that the detection of remote distractor effects may relate to statistical power. In addressing this issue we created 20 unique and pseudo-randomly sampled data sets involving six participants from each of our main and supplemental experiments and contrasted TO and CDD condition amplitudes via paired-samples t-tests. Results showed that that the probability of statistically equivalent amplitudes for TO and CDD conditions were 100% (20/20) and 60% (12/20) for the main and supplemental experiments, respectively. Given these findings, we propose that the null remote distractor effect reported in previous work may relate to an exiguous replication sample size.
In explaining the longer amplitudes in the remote distractor conditions we note that previous work has shown that manual and saccade trajectories 'curve' away from the location of a distractor in pursuit of the response goal [38][39][40][41]. In particular, Tipper and colleagues' population coding model contends that the top-down inhibition of exogenous distractor-related activity in the saccade map of the SC biases the mean vector of saccade-related activity in a direction contralateral to the distractor. Thus, our results may relate to a spatial bias wherein the programmed amplitude of a prosaccade moves further away from the location of a remote distractor to avoid capture of task-irrelevant visual information.
Antisaccade RTs: Planning costs are independent of a distractor's spatial location Antisaccade RTs in each distractor condition were longer than the TO condition, and the magnitude of the distractor cost (average of 36 ms) was independent of the distractor's spatial location. As such, antisaccade RTs do not elicit a RDE commensurate with prosaccades. Moreover, results demonstrate that distractor-related activity at a remote area of the collicular motor map does not selectively inhibit saccade-related motor activity. Instead, our results suggest that distractors influence antisaccade RTs due to the top-down demands of evoking the response-selection rule necessary for decoupling SR spatial relations. In line with this view, previous work has shown that antisaccades-but not prosaccades-adhere to Hick's law [22,42,43]. According to Kveraga and colleagues, prosaccades violate Hick's law because an automatic responseselection process couples the location of a target stimulus with a motor response. Indeed, the fact that humans complete upwards of 100,000 prosaccades in the course of their daily activities [44] highlights the fact that the prosaccade response-selection process efficiently attenuates task-irrelevant visual information [45]. In turn, Kveraga et al. contend that antisaccades adhere to Hick's law because the location of a target stimulus cannot be automatically mapped onto the direction of an ensuing response. Instead, the decoupled SR relations engender a cost related to the processing of each potential SR alternative. Moreover, electrophysiological evidence from non-human primates has shown that distinct neural ensembles serve the visual selection of a target stimulus and the selection of an appropriate antisaccade endpoint. For example, Sato and Schall [46] recorded single-cell activity from the frontal eye fields (FEF) of macaques during the planning of pro-and antisaccades to a target stimulus presented within an array of three distractors. Results showed that pro-and antisaccade RT differences were not linked to stimulus identification within the FEF (i.e., disentangling target from distractor); rather, the increase in antisaccade RT was linked to the onset of FEF activity supporting the selection of the task-rule necessary for decoupling SR relations. Notably, our work adds to previous literature insomuch as it demonstrates that that the spatial location of a distractor does not differentially influence the planning time required to adopt an appropriate antisaccade task-rule.

Effects of proximal and remote distractors on antisaccade endpoints
Antisaccade amplitudes in the ID and CDD conditions were less than and greater than the TO condition, respectively. In turn, amplitudes in the MD and CPD conditions did not reliably differ from the TO condition. In contrast to our results, Viswanathan and Barton [47] reported that antisaccade amplitudes in a remote-but not proximal-distractor condition were consistent with a global effect. Viswanathan and Barton interpreted their results as evidence for a spatial averaging of motor-related activity serving the response goal and distractor location on a common short-range motor map in the intermediate SC. Notably, however, our results do not support a global effect for remote distractors. Indeed, had the present results demonstrated a global effect then the CPD condition would have produced shorter amplitudes than the TO condition because the goal-location of the response is proximal to the distractor's location (see Fig 3). To our knowledge, our work and Viswanathan and Barton's represents the only studies to have examined distractor-related influences on antisaccade amplitudes. As well, we are unable to identify a between-experiment methodological difference that might explain the discrepant findings. Moreover, Viswanathan and Barton did not systematically report distractorrelated antisaccade RT costs; thus, we are unable to contrast RT and amplitude differences between experiments. As such, we propose that a global effect does not represent a reliable property of antisaccade amplitudes.
In accounting for the finding that ID and CDD conditions produced amplitudes that were distinct from TO trials we note that antisaccade sensorimotor transformations are mediated via a relative visual percept [18][19][20]48]. Moreover, the antisaccade visual percept is governed by a strategy of perceptual averaging such that the visual properties of a target are encoded relative to the properties of other stimuli (i.e., distractors) within a stimulus-set [49,50]. Thus, we propose that antisaccade amplitudes are based on a statistical summary of the visual location of the target and distractor. Indeed, for the ID condition the proximity between target and distractor would render a statistical summary and associated visual percept that leads to an increased hypometria. In turn, because the target and distractor in the CDD condition are in opposite visual fields, but have equal eccentricities, a statistical summary would render a more accurate target percept and therefore serve to reduce hypometria. Of course, we emphasize that our perceptual averaging proposal is distinct from the global effect as the former represents a statistical summary of the sensory-related properties contained within a stimulus set [49,50], whereas the latter is attributed to the weighted average of motor-related activity [8].

Conclusions
Antisaccades showed a distractor-related increase in RT that was independent of the distractor's spatial location. Such a finding suggests that stimulus-related activity associated with the distractor at a remote location from the intended saccade goal does not attenuate the motor-related properties of saccade-related neurons serving the antisaccade response. Instead, we propose that distractor-related antisaccade RT costs reflect uncertainty associated with the topdown evocation of the task-rule necessary to decouple SR relations.