Methods and systems are disclosed for presenting virtual objects on a limited number of depth planes using, e.g., an augmented reality display system. A farthest one of the depth planes is within a mismatch tolerance of optical infinity. The display system may switch the depth plane on which content is actively displayed, so that the content is displayed on the depth plane on which a user is fixating. The impact of errors in fixation tracking is addressed using partially overlapping depth planes. A fixation depth at which a user is fixating is determined and the display system determines whether to adjust selection of a selected depth plane at which a virtual object is presented. The determination may be based on whether the fixation depth falls within a depth overlap region of adjacent depth planes. The display system may switch the active depth plane depending upon whether the fixation depth falls outside the overlap region.