What can account for this remarkable effect of attention on perceived position? When subjects select one of the two moving surfaces, the position shift is appropriate to the selected motion. Since the low-level motion of the two transparent surfaces is equal in both directions, the robust displacement must be due to the attended motion, consistent with the result of Shim and Cavanagh (
2005) who showed that high-level motion determines the motion-induced position shift even when low-level motion is present in the opposite direction. Demonstrating that the attended motion alone is sufficient to shift a test flash does not, however, explain the shift. Some have proposed that the perceived position of moving targets is extrapolated to compensate for neural delays (Nijhawan,
1994) or to provide for appropriate reach (Whitney,
2008) or saccade targeting (de'Sperati & Baud-Bovy,
2008; Rolfs, Jonikaitis, Deubel, & Cavanagh,
2011), although there is evidence against extrapolation for purposes of compensation (see Eagleman & Sejnowski,
2007, for a review). Whatever the reason, it is clear that moving targets are extrapolated, being shifted even into the blind spot (Cai & Cavanagh,
2002; Maus & Nijhawan,
2008). However, the issue with the flashed dots in our experiments and others since Whitney and Cavanagh (
2000) is that the test dots are not moving and yet they appear shifted. It has been suggested that the test flashes are captured by the moving stimulus and are assigned a motion. However, although they appear shifted, they do not subjectively appear to be in motion (Whitney & Cavanagh,
2003). Moreover, the shift effect is strongest if the dots are flashed briefly at the moment of motion reversal (Whitney & Cavanagh,
2000) whereas there is little or no perceived shift if they are flashed briefly more than 500 msec before or after a reversal. There therefore appear to be at least three necessary conditions for the occurrence of the flash shift effect: First, the to-be-mislocalized objects (here red dots) must be presented very briefly, on the order of 50 ms; Second, there must be motion in the neighborhood of the dots; And third they should be presented at the moment of a motion reversal. Why this is so is not yet understood. Possibly, the motion uncertainty at the moment of reversal allows the new motion direction, namely, the direction following the reversal, to be briefly assigned to the flash, which itself has ambiguous motion, balanced in strength in all directions. These results do not solve the as yet unsolved riddle of the source of the perceived displacement, but they do demonstrate that once the above necessary conditions are met, attentional allocation is sufficient to drive the displacement in opposite directions when two oppositely moving overlapping transparent layers are present. This implies that perceived location can be driven in part by volitional allocation of attention and provides further evidence that focused attention can distort the encoding of nearby positions (Suzuki & Cavanagh,
1997). This suggests that the ‘binding’ of features such as redness and roundness to perceived locations is not independent of the encoding of attention within a spatial map of salient and attended locations (Cavanagh, Hunt, Afraz, & Rolfs,
2010).