Coastal flooding is typically caused by combinations of extreme water-
levels and large waves. Two extreme value methods, one univariate and
the other multivariate, have been used for estimating the probability
of coastal flooding at an existing flood defence structure and for aid
ing the design of a new structure. The properties of these two methods
are compared in terms of extrapolation, sophistication and use of inf
ormation for a range of extremal dependence structures. We find that,
when applied to the assessment of the safety offered by an existing Du
tch dike, the multivariate approach provides the more useful and accur
ate design information and has the substantial benefits of consistency
and reduced statistical analysis when applied to several sites along
a Dutch coastline.