ABSTRACTThe shorelines of the so-called Heby esker (also called Dalkarls-åsen and Hedesundaåsen—ås being Swedish for esker) were levelled. The results are presented both as sections and as distance diagrams. It was assumed that the more continuous shorelines were formed during eustatic transgression in early Litorina times and earlier stages in the development of the Baltic Sea; although no dating attempts have been made. The stratification of the shore marks does not immediately make the continuous shorelines come out. However, one attempt to stratify shore-elements that were considered continuous turned out to be statistically significant as far as the south to north inclination of the elements was concerned. By subjective stratification of the other shore elements it appeared, that even these elements showed a similar percentual inclination. Naturally, this inclination must indicate an increasing shore displacement or land uplift towards the north. However, this increase was found to be much smaller the what could be deducted from previous studies.