The Head Tracks and Gaze Predicts: How the World’s Best Batters Hit a Ball

Hitters in fast ball-sports do not align their gaze with the ball throughout ball-flight; rather, they use predictive eye movement strategies that contribute towards their level of interceptive skill. Existing studies claim that (i) baseball and cricket batters cannot track the ball because it moves too quickly to be tracked by the eyes, and that consequently (ii) batters do not – and possibly cannot – watch the ball at the moment they hit it. However, to date no studies have examined the gaze of truly elite batters. We examined the eye and head movements of two of the world’s best cricket batters and found both claims do not apply to these batters. Remarkably, the batters coupled the rotation of their head to the movement of the ball, ensuring the ball remained in a consistent direction relative to their head. To this end, the ball could be followed if the batters simply moved their head and kept their eyes still. Instead of doing so, we show the elite batters used distinctive eye movement strategies, usually relying on two predictive saccades to anticipate (i) the location of ball-bounce, and (ii) the location of bat-ball contact, ensuring they could direct their gaze towards the ball as they hit it. These specific head and eye movement strategies play important functional roles in contributing towards interceptive expertise.


Introduction
Spectators marvel at the ability of skilled hitters in fast ballsports. Batters produce remarkably precise visually guided movements to hit balls travelling at speeds that test the limit of human visual-motor control [1,2], and they hit the ball despite late and unexpected deviations in its flight-path [3]. Examining elite performers of these tasks provides a unique opportunity to better understand how interceptive actions are controlled and performed, though to this point, there have been very few opportunities to scientifically examine the exquisite hitting skills of truly elite performers in-situ. Here we examine the visual-motor performance of two of the most accomplished cricket batters to have played the game, and show that they use distinct strategies to control their gaze and head to underpin their batting successstrategies that are not evident with less accomplished players.
The edict to 'keep your eye on the ball' is one of the oldest coaching mantras in sport, yet surprisingly a number of studies suggest it may be impossible to do so. Players do not align their central (foveal) gaze with the ball throughout its flight-path across a range of different sports, including in baseball [4,5], cricket [6,7], table tennis [8], and squash [9]. In particular, central vision has been shown to lag behind the ball before batters can hit it, and as a result, batters might not watch the ball at the moment it is hit [4,5,7]. In conditions where it may be difficult to track the flightpath of the ball, predictive saccades are commonly used to move gaze ahead of the ball, or to catch up with it [4,6,7]. It is not clear why hitters do not track the ball throughout the entirety of its flight-path, though it is often said that the ball moves too quickly for the eyes to be able to track it [4,7,8].
Importantly, eye movement strategies are associated with skill in batting. Bahill and LaRitz [4] demonstrated that a moderate-level major league baseballer was able to track a ball (moving along a string) for a longer period of time than lesser skilled players could. More recently, Land and McLeod [7] recorded the eye movements of three cricket batters with varying levels of batting skill (state/provincial professional, high-level amateur, low-level amateur) and found a systematic relationship between gaze and batting skill. In their study, batters were found to track the ball for a short period after ball-release before making a predictive saccade to anticipate where the ball would bounce (in cricket, like in tennis, a hitter typically hits the ball after it has bounced). Critically, the predictive saccade occurred earlier as the skill level of the batter increased, reflecting a superior ability to predict the future landing point of the ball. Crucially, this highlights that there may be some functional advantage in producing a predictive saccade when hitting a moving target. In showing that eye movement strategies contribute to skill in hitting, these studies have been influential at both an applied and theoretical level. Unfortunately, though, there are two clear limitations. First, there is some doubt that these findings represent those that would occur in a natural setting, as the experimental tasks have been simplified (using a ball on a string or a bowling machine) and don't necessarily represent those performed in the natural environment [10]. Second, these studies have not considered the visual-motor capabilities of truly elite batters. By implying that a linear relationship exists between visual skill and batting ability, their findings may misrepresent the true ability of elite performers.
One particular issue worthy of consideration is whether batters watch the ball at the moment they hit it. Scientific studies of visualmotor control report that batters do not -and perhaps cannotwatch the ball when it is hit [4,5,7]. Yet, this is at odds with the anecdotal reports of some elite batters [e.g., 4]. For example, Justin Langer, a recently retired international batter (and more recently, the Australian Batting Coach) found the concept of not watching the ball hit the bat as unbelievable, as he clearly describes seeing markings on the ball as it makes contact with the bat (personal communication, 6/03/11). Further, a current international player, one of the top five international run-scorers of all time, reports that one of his key aims when batting is to watch the ball come out from underneath my bat when he hits it (personal communication, 9/18/ 11). It is highly unlikely that either of these tasks would be possible unless the ball was fixated using central vision at the moment of bat-ball contact. This highlights the need for studies of transcendent experts in hitting sports as it suggests that either the current scientific account of the visual-motor control of skilled batting is wrong, or that elite batters possess a misconstrued understanding of their perceptual and action capabilities when batting [11]. Rather than being a trivial point, this issue has important theoretical implications. The inability to watch the ball at batball contact has been interpreted as evidence that hitting is highly predictive and relies on a pre-programmed movement strategy [7,12]. According to this theory the batter must predict the future location of the ball and produce a pre-programmed hitting action to account for the considerable time-delay between the perception of ball-flight and the time taken to produce the appropriate hitting response [13,14]. In this sense, late ball-flight information may be superfluous for the performance of the hitting action [7]. Evidence to the contrary would question this supposition, and leave open the possibility that late ball-flight information could be used to modify the interceptive action based on continuous visual feedback from the position of the ball [e.g., 1,15,16].
A growing body of work highlights that an examination of the coordinating perceptual system (incorporating the eyes and head) can provide a clearer representation of visual-motor control than from an examination of gaze alone [e.g., 17,18]. In the case of hitting tasks, for example, elite athletes in sports such as baseball and tennis are often said to maintain a 'still' head throughout their hitting actions [19], yet surprisingly very few researchers have sought to qualitatively establish what this means, and if it makes any contribution towards the development of expertise. Head movement can play an important role when tracking a fast-moving target [9], but importantly, there is good reason to believe that coupling the movement of the head to a target may provide a functional advantage when producing an interceptive action. For example, catching studies show that observers mainly rotate their eyes when they stand and passively watch where a fly-ball will land, but they rotate their eyes and head when they try to catch it [20,21]. When catching, the head movement ensures that the egocentric point of reference changes; that is to say, the head moves to keep the ball in a more consistent direction relative to the head. This concept is consistent with the notion that visualperceptual and visual-motor tasks rely on different types of visual information, in particular, observers in visual-perceptual tasks gather information allocentrically (i.e., object-centred relative to the surrounding environment), while performers of visual-motor tasks gather information egocentrically (i.e., consistent according to self-centred coordinates) [e.g., 22,23].
Further evidence exists to suggest that the head may move to keep a target in a consistent egocentric frame of reference in aiming tasks. Skilled basketballers direct or anchor their head towards the ring when performing jump shots [24]; as a result, they spend a longer period of time with the ring kept in a consistent head-centred egocentric direction as the shot is prepared. Similarly, a skilled racing car driver has been shown to couple his head direction to the rate of car rotation to ensure that the targeted location was kept in line with the direction of the head [25]. This finding implies that the driver used a common mechanism to control his head direction and the steering of the race car. Collectively these findings suggest that the ability to maintain the target in a consistent head-centred egocentric direction may be an important element of skill in interceptive tasks. In the case of hitting sports, it raises the possibility that an important component of expertise may be an ability to couple the movement of the head to the flight-path of the ball, ensuring the ball is kept in a consistent egocentric direction relative to the batter's head. In other words, the batter may move his or her head in a manner that keeps the ball in the same direction within the local head-centred coordinate system. If the ability to couple head movement to the ball is an important element of skill in batting, then it is reasonable to expect that a commensurate relationship should exist between head-ball coupling and batting skill.
In this study we took the unique opportunity to measure the eye and head movements of two of the world's best cricket batters: one was a recently retired opening batsman who played more than 100 test matches for Australia, and the other was a batsman in the Australian test side at the time of testing. We compared the visualmotor performance of these two elite batters with two competent but considerably less-skilled club level batters. We expected to find systematic differences in the eye and head movements according to their level of batting skill. Specifically, we hypothesised that the elite batters would (i) utilise eye movement strategies that enabled them to observe the ball at the moment it was hit, and that the elite batters would (ii) couple the rotation of their head to the movement of the ball, ensuring the ball was kept in a consistent egocentric direction throughout the hitting action.

Participants
Two elite and two club-level cricket batters took part in the study. At the time of testing, the elite batters had both represented their country in more than 70 international test matches, averaging greater than 45 runs per innings (a feat achieved by only 43 of 2645 international players since 1877). The two club batters both played recreationally at a high-level in a domestic club competition.

Experimental Task
Participants batted against a ProBatter ball-projection machine (ProBatter Sports, Milford, CT) which displayed life-size videoprojected footage of a bowler in their approach towards the batter, and at the moment of ball-release, a ball was projected through a hole in the screen. Batters stood <17.7 m from the location of ball-release, with this and all other pitch and stump dimensions replicating those experienced in a match. The ProBatter machine provided three specific experimental advantages when compared to the use of real bowlers or a bowling/projection machine. First, it provided experimental control of ball delivery that would not be possible if participants were to face bowlers in-situ [26][27][28]. Second, when compared to a projection machine, the video footage of a bowler provided advance bowler-specific movement information that is known to be useful in movement coupling when batting [29,30]. Third, the projection machine was not visible to batters, ensuring they could not see the angle of the machine to provide cues to the potential direction of ball projection [31].
Participants wore a Mobile Eye eye-tracking device (Applied Sciences Laboratories, Bedford, MA; 25 Hz) to record the direction of the head and visual gaze when batting. Footage from the Mobile Eye glasses worn by participants were recorded on a digital video (DV) recording device held within a waist pouch tightly wrapped around the lower back of participants. A radio transmitter attached to the DV recorder wirelessly transmitted the video signal so that footage could be monitored contemporaneously on a large television screen located adjacent to the testing area. Real-time monitoring was used to check for changes in the direction of the scene or eye cameras so any alterations in calibration could be immediately rectified to maximise the percentage of useful data recorded by the eye-tracking system. A DV camera (25 Hz) was located behind participants to confirm the moments of ball-release, ball-bounce, and bat-ball contact if any were not visible in the footage from the Mobile Eye scene camera.
Participants wore a cricket helmet with a small portion of the peak cut away to prevent mislocation of the scene camera by any movement of the helmet. Calibration was performed after the initial fitting of the Mobile Eye using a number of pre-determined locations within the visual scene. Recalibration was performed prior to, and following each testing condition, when the view monitored on the remote screen was deemed to have moved, or when participants felt that they had knocked the eye-tracking system.

Procedure and Design
Participants batted against six types of trials that differed according to the location of ball-bounce. In cricket, the location of ball-bounce varies according to how close it bounces to the batter (length), and the direction in which the ball is headed towards (line). Deliveries bounced at one of three different lengths (full, good, and short), and two different lines (straight and off, directed towards, and away from, the batter's body respectively). In the experiment proper, participants faced a total of 18 trials: three trials for each of the six different deliveries (full & off, full & straight, good & off, good & straight, short & off, shot & straight) presented in a randomised order. Variations in line were of no interest to the experimental examinations; rather they were included to minimise the chance of the batters predicting the location of ball-bounce based on probability alone. The ball speed (33.3 m/s or 120 km/ h) was considerably faster, and more representative of real competition, when compared to speeds used in previous examinations of interceptive skill [typically 60-90 km/h or 17-25 m/s; 6,7]. Prior to testing, participants faced approximately 15-20 deliveries to familiarise themselves with the ProBatter machine, with the synthetic (artificial grass) indoor playing surface, and with the different types of deliveries they were to experience in the experiment proper. The experimental procedure received ethical approval through the University of Queensland and participants provided written informed consent to take part in the experiment.

Data Analysis
Footage from the Mobile Eye camera was manually digitised to determine the coordinates of five different spatial locations in each frame of video footage: the (i) ball, (ii) location of gaze, (iii) location of ball-release, (iv) bottom-left of the projection screen, and (v) bottom-right of the projection screen. The first three reference points were used to calculate three raw angles (in degrees) subtended at the eye relative to the initial direction at the moment of ball-release: the ball angle, gaze angle, and head angle (Fig. 1A). The final two reference points (bottom left and right of the projection screen) were used to calculate and correct for head rotation to ensure that all three angles were reported relative to global rather than local coordinates. The calculation of head angle required the assumption that the predominant head movement was rotation rather than translation; this is a good generalisation in the case of cricket batting, as the ball is directed towards the batter who will typically attempt to remain in-line with the directional path of the ball. Three relative angles were calculated to convey the comparative position of the three raw angles: the gaze-ball angle, head-ball angle, and gaze-head angle (Fig. 1B).
The head-mounted camera in the Mobile Eye gaze-tracking system moves commensurate with movement of the head. As a result, the location of the ball relative to the direction of the head was recorded and visualised using scatterplots of the x-y digitised coordinates of the ball for every video frame in a single trial. A tight cluster of coordinates within a single trial indicates that rotation of the head was tightly coupled to the ball, meaning the ball was kept in the same direction relative to the head.
In addition to the digitisation of the video clips, each clip was manually viewed frame-by-frame for two specific reasons. First, we sought to verify the presence and timing of any visual saccades that took place between the moments of ball-release and bat-ball contact. A saccade was recorded when there was a distinct change in the location of gaze that did not move commensurate with the path of the ball. Three types of saccades were recorded: (i) saccades to the location of ball-bounce, (ii) saccades beyond the location of ball-bounce, and (iii) other saccades not to or beyond ball-bounce (usually performed to 'catch-up' with the ball after gaze had lagged behind it). A high level of intra-tester and intertester reliability was found when coding the moment each saccade took place for all trials for a single participant (94.4% agreement for each; coding two-weeks apart for intra-tester reliability). Second, we sought to determine whether gaze was directed towards the ball at the moment of bat-ball contact. Although the measurement of gaze-ball angle would be desirable to do so, manual viewing was necessary for two specific reasons. First, the bat and ball were not visible in the Mobile Eye footage at the moment of bat-ball contact in some of the trials, particularly in many for the club-level batters, as they did not rotate their head downwards as much as the elite batters did (gaze, though, was generally still visible in the footage so it was obvious that gaze was not directed towards the ball in these instances). Second, for those trials where the bat and ball were visible at bat-ball contact, the speed of the ball and the frame-rate of the Mobile Eye meant that there was a large error in measuring the gaze-ball angle when the ball was very close to the batters. [The Mobile Eye captures video frames at 40 ms intervals. For a ball travelling at 33 m/s, the ball can be up to 60.65 m from the ultimate location of bat-ball contact in the frame closest to contact. If bat-ball contact occurs 1.5 m from the eye, this equates to an error margin of <23 degrees of visual angle. As a result, this method was clearly not suitable for an accurate numerical assessment of gaze at bat-ball contact.] As a result, we manually viewed the footage to determine whether gaze was directed towards the ball at the moment it was hit. Specifically, from the observation of the frames immediately prior to and after bat-ball contact, we judged whether gaze was likely to have been within 4 degrees of the bat at the moment the ball was hit (a visual angle equating to 1 bat-width at a distance of 1.5 m from the eye). This method cannot determine whether the batters directly aligned their fovea (central vision) with the ball at the moment it was hit, but it does provide a clear differentiation of whether gaze was directed towards the location of bat-ball contact at the moment the ball was hit, or alternately whether vision was directed elsewhere (usually lagging behind the ball). This manual coding of gaze at bat-ball contact demonstrated a high level of intra-tester and inter-tester reliability (100% and 91% agreement respectively).
Only those trials where the participant swung their bat and made contact with the ball were included in the final analysis because batters tend to stop visually tracking the ball when they 'leave' deliveries deemed unsuitable to hit. Three trials were excluded from the analysis as a result of the Mobile Eye failing to record the location of gaze at some point during the trial.

Statistical Analyses
Independent t-tests (two-tailed) were used to compare dependent variables between the elite and club-level batters. Alpha was set at.05 for all comparisons. Trials for each participant were used as individual observations for statistical analyses; this violates the assumption of independence of observations, but is consistent with previous work and has been deemed appropriate for the examination of small sample sizes [7,32]. Levene's test was used to check for the equality of error variances, and any violations were subject to the Welch-Satterthwaite method for adjusting the degrees of freedom to minimise the chance of Type I errors.

Results
An examination of the direction of gaze relative to the position of the ball revealed that the elite batters kept their gaze either in alignment with, or ahead of the ball, irrespective of where the ball bounced (Fig. 2). In contrast, the gaze of the club-level batters was much more likely to be in alignment with, or behind the location of the ball. The club batters only directed their gaze ahead of the ball on a consistent basis when hitting the short length trials, and even in those trials it was only for a short period of time between ballbounce and bat-ball contact. The statistical analysis of the gazeball angle confirmed that the elite batters directed their gaze further ahead of the ball than the club-level batters did (mean gaze-ball angle, Elite vs. Club The comparative analysis of the gaze and ball angles also highlights the presence and timing of the saccadic eye movements made when batters hit the ball. The rectangular columns in Figure 2 show how frequently saccades were initiated for each of the time points within the trials. These columns show that the elite batters tended to produce a single saccade in the full-length trials (reflected by a monophasic pattern for the frequency of the saccades), but that two saccades were produced in the good and short-length trials (reflected by a biphasic pattern). These groupings of saccades for the elite batters are mirrored by commensurate changes in the gaze angle relative to the location of the ball, in particular, at 360-400 ms after ball-release in the fulllength trials, at 280 and 440 ms in the good-length trials, and at 240-280 and 400-440 ms in the short length trials. In contrast, there is much less consistency in the saccadic behaviour of the club-level batters, that is to say, the timing of their saccades is more evenly distributed across the different time periods throughout the trials. We revisit the saccadic eye movements shortly when considering the experimental trials on an individual basis.
The direction of gaze relative to the ball in the time-period immediately prior to bat-ball contact reveals an important differentiation between the elite and club-level batters. Figure 2B shows that the elite batters directed their gaze ahead of the flightpath of the ball immediately prior to bat-ball contact, whereas the gaze of the club-level batters tended to be behind the ball. The elite batters appeared to use a strategy that ensured they could 'park' their gaze ahead of the ball so that gaze could 'lie-in-wait' for the ball to arrive (this is best exemplified in Fig. 2A against the good and short length trials). Although the calculation of the gaze and ball angle was not always possible immediately prior to bat-ball contact, Fig. 2 clearly shows that the ball was looming towards the direction of gaze for the elite batters as the moment of bat-ball contact approached (i.e., so that the gaze-ball angle would be zero). In contrast, the club-level batters were much less likely to locate their central gaze ahead of the ball immediately prior to contact; only against the short-length trials did the club-level batters exhibit an ability to consistently do so. We return to a more thorough investigation of this issue shortly.
An examination of the head-ball and gaze-head angles reveals that there were two specific strategies that the elite batters used which may have ensured they were better able to move their gaze ahead of the ball. First, the batters closely coupled the rotation of their head to the movement of the ball (Fig. 3A).

Head-ball Coupling
The comparison of the three relative angles (gaze-ball, headball, and gaze-head) illustrates an important differentiation between the way that the elite and club batters appeared to track the ball: the elite batters closely aligned their head with the location of the ball, whereas the club-level batters more closely aligned their eyes with the ball. The elite batters coordinated their eyes and head in a fashion that minimised the discrepancy between the direction of the ball and head (head-ball angle,gaze-ball and gaze-head angles [mean absolute values]; ps ,.001), whereas the club-level batters minimised the discrepancy between the direction of the ball and gaze (gaze-ball angle,head-ball and gaze-head angles [mean absolute values]; ps ,.0001). This pattern of behaviour is illustrated in the individual exemplary trials shown in Fig. 4; of the three relative angles, the elite batters kept the head-ball angle closest to zero throughout the trials, where the club batters kept the gaze-ball angle closest to zero throughout the trials.
The coupling between the head and ball was visualised within each trial using plots of the x-y coordinates of the ball relative to the position of the head (Fig. 4 inset images). In these figures a tight cluster of coordinates reflects tight coupling between the ball and head such that the ball was kept in a consistent egocentric direction. To better understand this concept, one could consider the analogy of a 'miner's torch'. The light from a metaphorical torch, attached to the forehead of a batter with tight head-ball coupling, would shine on the ball from the moment of release through to, or very close to, the moment of bat-ball contact. In contrast, the light-beam from a batter with poor head-ball coupling would not remain on the ball. Accordingly, there is a tight cluster of head-centered ball coordinates in each trial for the elite batters (particularly for E1) that is less apparent for the clublevel batters. Importantly, this head movement means that the ball would have remained close to central vision, particularly for the elite batters, if they simply kept their eyes still and only moved their head. That is to say, eye movements would not be necessary to accurately track the ball.
Interestingly, head-ball coupling was maintained even when the ball was in the peripheral vision of the batters. The gaze-ball angle (Fig. 4, main images) shows that central vision was located well in advance of the ball immediately following the saccades, yet tight head-ball coupling continued. It appears that peripheral vision and/or a memory-based expectation of the flight-path (potentially predicated on early ball-flight information) may have been helping, at least in these moments, to facilitate head-ball coupling.

Saccadic Eye Movements
The manual inspection of the individual trials confirms that the saccadic behaviour of the batters changed commensurate with their level of batting skill. The elite batters made not only larger and earlier eye movements [see also 7], but they also made more saccadic eye movements, ensuring that gaze was located further ahead of the ball for a greater proportion of ball-flight than it was for the club level batters (Figs. 4 & 5). Most interestingly, the elite batters often produced two distinct saccades: the first to predict ball-bounce, and the second to predict bat-ball contact (Fig. 5). Previous studies report a single saccade irrespective of where the ball bounced [6,7], a finding consistent only with our lesser-skilled batters. In our study, two saccades were made by the elite batters on every good-and short-length trial, ensuring that gaze was judged to have coincided with the location of bat-ball contact for 100% of the good-length trials, and 90% of the short-length trials (Fig. 5). In contrast, the club batters made an initial saccade to ball-bounce in the good-and short-length trials (88% and 100% of trials respectively), but were much less likely to make a second saccade (only 25% and 50% of trials respectively). This resulted in them being substantially less likely to direct their gaze towards the bat as it hit the ball (13% and 70% of trials respectively). All batters typically made only one saccade against the full-length trials, though the elite but not club batters moved their gaze beyond ball-bounce to direct their gaze towards the bat as it hit the ball (Fig. 5; 80% of trials). The gaze of the club-level batters was judged to have lagged behind the location of bat-ball contact in each of the full-length trials.

Discussion
This study provides a unique insight into how world-class batters achieve extraordinary levels of interceptive precision. The elite cricket batters exhibited two key differences in their visualmotor behavior when compared to the club-level batters: (i) a superior ability to couple the direction of the head to the movement of the ball, and (ii) eye movement strategies that ultimately predicted the location where the bat would make contact with the ball.
First, the ability to couple the head to the movement of the ball appears to be an important hallmark of expertise in batting. On one hand, this may not be all that surprising: cricket batters are often coached to move their head towards the line of the ball (so that it will be directly above the ball when it is hit), and batters are sometimes coached to rotate their head downwards so that the ball is hit when it is under their nose. However, even with these observations in mind, the remarkably precise head-ball coupling found for the elite batters in this study still comes as a surprise. The strength of the head-ball coupling leads us to question what may be the functional advantage of this behaviour. Visual-motor tasks like catching and hitting are understood to be controlled in an egocentric manner that is consistent according to self-centered coordinates [21], and so it may be an advantage to keep the target in a consistent direction relative to the head. In this sense, the elite batters may have learned to use their eyes to guide their head, ensuring their head direction is aligned with the position of the ball. [Incidentally, the relationship between the head direction and a target can be mapped onto neurons that respond to the spatial position of a target relative to the direction of the head, independently of where the eyes are looking [33,34].] By reducing the location of the ball to a single egocentric direction, it is possible that the elite batters could derive a very simple, yet elegant, means of perceiving exactly where the ball will arrive relative to the direction of their head [35]. By knowing where the ball will arrive, they could simplify the hitting task to one where they must simply determine the time-to-contact necessary to successfully intercept the target [36,37]. In contrast, the club-level batters were less capable of maintaining head-ball coupling, meaning they may be less certain of, and must otherwise predict, the future arrival point of the ball. Egocentric direction has been implicated in the control of other motor tasks, for instance, it can be used to control the guidance of walking when navigating towards a stationary goal [38,39], and a skilled race-car driver may use their head direction to help the control of steering [25]. It may be that the head direction has an important role to play in the guidance of hitting movements like those performed by cricket batters.
Second, the elite batters seemed to produce consistent eye movement strategies that ensured gaze was directed towards the bat at the moment it made contact with the ball. This finding is in direct contrast to existing studies that suggest this is not the case, and some that suggest that it may not even be possible to do so [4,7]. Land and McLeod [7] reported that the batters in their study ''tracked the ball accurately for at least 0.2 s after the bounce, then more loosely tracked the ball on its final approach to the bat'' and that the batters ''lost the ball at the end of its trajectory'' (p. 1342). They concluded ''there seemed to be no systematic differences in the way the three batsmen tracked the ball after the bounce'' (p. 1343). Our findings show otherwise, instead providing support for the anecdotal reports of Justin Langer and other elite batters who say they can watch the bat hit the ball [e.g., 4]. In fact, the elite batters appeared to do whatever was necessary to ensure that their gaze was directed towards the location of bat-ball contact: usually they made two predictive saccades, but even when they produced only one, they shifted gaze to the anticipated location of bat-ball contact rather than to ballbounce [c.f., 7]. Evidently, it may be feasible to follow a coach's direction to watch the ball onto the bat; unfortunately, though, it might be an aspiration consistently achievable by only a small minority of players.
Predictive saccades seem to play an important role in batting, though it is not immediately clear what that role may be. A number of previous studies have suggested that saccades may be produced because the ball moves too quickly to be tracked by the eyes [4,6,7]. Our data suggest that this is unlikely. The elite batters initiated saccades when the gaze-ball angle was low, showing that gaze was accurately aligned with the ball when the saccades were initiated. More importantly, the strikingly low head-ball angle highlights that the head itself was directed towards the ball throughout the majority of ball-flight. As a result, gaze would have been directed towards the ball if only the head were to move and the eyes were simply kept still relative to the head. Further support is evident from a recent study by Croft et al. [6]. Based on the assumption that saccades must be necessary because the ball moves too quickly to be tracked by the eyes, Croft et al. sought to establish the threshold ball velocity below which saccadic eye movements would no longer be necessary. They systematically varied the velocity of balls that were intercepted by skilled junior cricket batters but found that predictive saccades were produced irrespective of the velocity of the ball. In other words, they were unable to find a threshold speed below which saccades were no longer necessary. Evidently, saccades may not be required to compensate for a ball that is moving too quickly to be tracked by the eyes.
If predictive saccades are not required to compensate for ballspeeds that are too fast to be tracked by the eyes, then this of course leads us to ponder what might be the role of the saccades. We suggest three possibilities. First, it has been proposed that saccades may facilitate better gaze tracking after a discontinuity in the flight-path of a target [9]. The results of our study provide some support for this supposition, though the discontinuity might not need to be a change in direction per se, rather it can more simply be a change in the angular velocity of the target subtended at the observers eye. For the batters in our study, the direction of gaze did not need to change to track the ball after it bounced, only the angular velocity of the direction of gaze needed to change. In other words, the ball continued to move downwards in the field of view of the batter (i.e., the ball angle continued to decrease) irrespective of where the ball bounced (see the ball angles in Fig. 2; only for a short period after ball-bounce in the short length trials did the ball loom directly towards the observer's eyes). This means that at no point were the batters required to direct their gaze downwards towards ball-bounce, and then back up again after the ball had bounced. Hence, the saccades may help to facilitate tracking after bounce, as they allow the eyes to avoid the change in velocity that would be necessary to accurately track the ball after it bounced. Second, it is possible that predictive saccades allow batters to better detect, and subsequently adapt to, unexpected changes in the flight-path of the ball after it bounces. While most spherical objects bouncing off the ground (or any other surface) can be expected to rebound in a relatively predictable manner, there will be times when unexpected deviations occur, for example, if the ball or the surface it rebounds from is not perfectly flat and/or regular, or if the ball is spinning before it hits the ground. In these cases the predictive saccade may direct the fovea towards the location of ball-bounce to ensure that gaze can quickly monitor for, and align itself with, any change in the direction of the ball after it has bounced. Finally, the saccades may play a functional role in detecting whether the anticipated and actual flight-paths of the ball are in agreement [e.g., 25]. Following a saccade to ball-bounce or bat-ball contact, peripheral vision could be used to monitor whether the ball is looming towards the direction of the fovea (i.e., the predicted future location of the ball) [40,41]. It is not immediately clear which of these three (or possibly other) explanations best accounts for the role of predictive saccades; further work is necessary to systematically address how saccades facilitate interceptive success.
Previous work has argued that the portions of ball-flight where the direction of gaze coincides with the position of the ball should indicate the ball-flight information that is most critical for successful interception [7]. Accordingly, our results imply that early ball-flight, ball-bounce, and bat-ball contact may contain critical sources of information. However, there is considerable debate whether late ball-flight information can be used to alter a hitting action. For example, it has been shown that skilled cricket batsmen require at least 190 ms to adapt their bat-swing when a ball bounces in an unexpected fashion [13], and this finding is sometimes interpreted to be evidence that no useful changes can be made to the bat-swing during this period. However, Bootsma and van Wieringen [1] have persuasively argued that there should be a clear distinction between the visual-motor delay that is necessary for a performer to adapt to an unexpected error (as was the case in the study by McLeod [13]), and the delay necessary when using visual information to guide a movement as it naturally unfolds. It is reasonable to expect that the visual-motor delay may be considerably shorter for the continuous guidance of a movement, as is likely to be the case for the interceptive actions examined in our study. Patently the information at bat-ball contact was not necessary to make contact with the ball, as even the club-level batters managed to hit the ball on all of the trials we examined. Conceivably, though, by being better able to predict, and locate their gaze towards, the future location of bat-ball contact, the elite batters may be able to use their peripheral vision to facilitate continuous visual-motor regulation of the bat-swing as late as may be physically permissible [1]. It is known that anchoring vision ahead of a target can facilitate a better estimation of the moment of impact compared to what is possible if the moving target is fixated [8]. Cricket batters anecdotally report that they make fine adjustments to their wrist orientation in an effort to ensure the ball is directed away from opposition fielders when they hit it. Future studies may be able to uncover whether the ability to 'park' gaze at the anticipated location of bat-ball contact provides some form of functional advantage that may result in more efficacious hitting and/or a decreased likelihood that the batter misjudges the precision and accuracy of the interceptive action.