The tidal record from the Reykjavik Harbour in Iceland is analysed for
extremes For this analysis the annual maxims of recorded high tide of
the 37 recorded years are used. In addition predicted high tides from
the calendar years 1-2950 are used. This number of predicted years is
considered sufficient data for a fairly accurate probability distribu
tion of the astronomical tide, but the prediction is based on astronom
ical constituents. The astronomical tide deviates from the recorded, a
nd three possible deviations are discussed, two deviation series that
are differences of simultaneous values and one that is differences of
annual maxima. It is found that a cross correlation has to exist betwe
en the recorded and predicted series, it a stochastic model, expressin
g the recorded value as the sum of the prediction and the deviation, i
s to he applied. One of the deviation series fulfils thin requirement,
its recorded and predicted series are correlated. The deviation can b
e separated in two parts, one correlated to the prediction and another
independent of the prediction. Using this, a probability integral is
derived that gives the expected value of the tidal surge level as a fu
nction of return period. This result is compared to historical flood r
ecord, and it is found that the results are reliable for return period
s 30-100 years. Finally, it is recommended that a hydrodynamic computa
tional model of the tidal motion is constructed in order to investigat
e the tidal surge from rare meteorological situations that may not be
represented in the 37 years of record.