Earlier studies have reported temporal rotation of Listing's plane with convergence of the eyes causing torsion, which is dependent on eye elevation. The amount by which the planes rotate differs from study to study. To gain insight into the functional significance of the temporal tilt of Listing's plane for vision, we examined whether the rotation of the plane depends on the visual conditions, namely on the stimuli driving vergence. In different conditions, accommodative vergence, disparity-vergence, combinations of disparity with accommodation or depth perception were used and the resulting rotation of Listing's plane was measured. Our findings show, for the first time, that the relationship between convergence and Listing's-plane temporal rotation depends on the stimuli driving vergence. When the stimulus contains only disparity cues, vergence and Listing's plane rotate immediately and consistently among subjects. Accommodative vergence, the mutual couplings between vergence and accommodation, can influence the orientation of Listing's plane, but they do so in a idiosyncratic way. The largest rotation was elicited by stereograms combining disparity-vergence with depth perception. These findings support the idea of a functional role of Listing's plane rotation for binocular vision, perhaps for depth perception.

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Memory-guided saccades to disparate targets (i.e., more eccentric for one eye) flashed 1 s earlier become disconjugate (i.e., of different amplitude for the two eyes) after only about 30 trials. After about 225 trials the disconjugacy persists even when the target to remember is no longer disparate. This suggests fast learning based on short-term memorization of disparity. Learning, however, fails to occur if during the training the memory delay for each trial is increased to 2 s. The purpose of the present study was to test the importance of the frequency of stimulus presentation and thereby the rate of saccades. The same memory-guided saccade paradigm was used as in the prior study and a short training period of 225 trials was applied. For each training trial, the memory delay was again 2 s, but the time allocated for fixation of the central dot and the time allocated for fixation of the remembered target in the dark was reduced to increase the frequency of saccades made. Saccades became rapidly disconjugate and their disconjugacy was retained in a subsequent neutral condition using non-disparate targets. These findings indicate that stimulus frequency and thereby saccade frequency is important for disconjugate oculomotor learning based on disparity memorization. Nevertheless, additional experiments using longer memory delays of 3 s or 4 s show a definite failure of memorization and disconjugate learning.

Binocular saccades in response to briefly flashed, memorized disparate targets (different for the two eyes) become disconjugate following repeated trials. After 15 min of such training, the disconjugacy persists, even when the target to memorize is no longer disparate. This study examines the hypothesis that disparity memorization has a motor basis. We report here three experiments in which subjects were trained for 15-min periods. In experiment 1, subjects made no saccade after target presentation (static training); in experiment 2 subjects intended to make a saccade, but they actually made a saccade in only 10% or 20% of the trials; in experiment 3 subjects made anti-saccades. For all three experiments, the flashed target was disparate and the memory delay for each trial was 1 s. To examine the effects of learning for all three experiments, before and after training, we recorded memory-guided saccades to non-disparate targets (monocular viewing). Experiments 1 and 2 produced inconsistent (before/after training) changes in the disconjugacy of saccades. Thus, the disparity of potential saccade targets had no lasting effect on the disconjugacy of saccades if a saccade was not made. In contrast, the anti-saccades in experiment 3 developed a disconjugacy opposite to the disparity of the remembered target. These findings indicate that the execution of the saccade is necessary to memorize disparity of the target.

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