Abstract
For a coastal structure in shallow water, it is important to estimate the probability of wave height with storm surge because the tidal level much affects the situation of wave transformation. In this study, the return periods of both the storm surge without wave set-up and the wave with storm surge are estimated, respectively and their relation is discussed. To do that, each wave set-up at the peak of storm surge is calculated by using the Boussinesq model in which wave breaking and runup model are installed, and it is removed from the observed tide of storm surge. Finally, it is suggested that the tidal level for design wave can be estimated with the superposition between the probability of atmospheric surge and the wave set-up calculated for the probability of wave height.