Abstract
This article provides a simple analytical method which can be used to give estimates of the wave runup on shorelines based on long-term variation of wave conditions. This is achieved by providing bivariate distribution of significant wave height with the wave runup. This wave runup is defined in terms of significant wave height and spectral peak period in deep water. This article presents the mean value and the standard deviation, that is, more precisely the conditional expected value and the conditional variance of the wave runup for given significant wave height. Examples of results corresponding to typical field conditions are also given. Based on, for example, global wave statistics, the present analytical results can be used to make estimates of the wave runup.
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