A computationally implemented method includes, but is not limited to: determining an incrementally progressive series of adjustment appliances, each of the series of adjustment appliances having geometries selected to progressively reposition teeth； and determining for each of the series of adjustment appliances, a vertical displacement and a forward mandibular position for treating sleep apnea. In addition to the foregoing, other method aspects are described in the claims, drawings, and text forming a part of the present disclosure.
