Two experiments, an off-line acceptability judgment study and an on-line self-paced reading experiment, were conducted to tackle the question of locality-based preferences in sentence processing. The material consisted of German verb-final sentences containing a relative clause that was either host adjacent or extraposed. While the off-line data seem to reflect locality based integration cost, the on-line data revealed a highly different picture. It is argued that, in the present constructions at least, locality is relevant for production rather than perception. In perception, heads can be anticipated through incremental integration of their arguments.