Non-stationary time series modelling is applied to long tidal records from Esbjerg, Denmark, and coupled to climate change projections for sea-level and storminess, to produce projections of likely future sea-level maxima. The model has several components: nonstationary models for mean sea-level, tides and extremes of residuals of sea level above tide level. The extreme value model (at least on an annual scale) has location-parameter dependent on mean sea level. Using the methodology of Bolin et al. (2015)and Guttorp et al. (2014) we calculate, using CMIP5 climate models, projections for mean sea level with attendant uncertainty. We simulate annual maxima in two ways - one method uses the empirically fitted non-stationary generalized extreme-value-distribution (GEV) of 20th-century annual maxima projected forward based on msl-projections, and the other has a stationary approach to extremes. We then consider return levels and the increase in these from AD 2000 to AD 2100. We find that the median of annual maxima with return period 100 years, taking into account all the nonstationarities, in year 2100 is 6.5m above current mean sea level (start of 21stC) levels
