A combined modeling and measurement approach to assess the nodal tide
modulation in the North Sea
Abstract
The correct representation of the 18.61 year nodal tide is essential for
an interpretation of the evolution of mean sea level, as errors cause
misleading bias. The nodal tide is currently estimated by applying
correction factors in harmonic analysis, which are derived from the
equilibrium tide. From the equilibrium tide, correction values f for
amplitude and u for phase are determined, which alter lunar tidal
constituents, depending on the nodal cycle. This approach has proven to
be valid for many tide gauges, even though the impact of the nodal tide
in shelf seas has been shown to differ from their theoretical correction
value. Hence, tidal constituents from tide records in the North Atlantic
shelf region were analyzed for their nodal amplitude and phase lag with
a new multiple, non-linear regression approach, which is able to
approximate the nodal modulation quantitatively and its agreement to the
theoretical equilibrium tide. Results show an overestimation of the
lunar M and N constituents by the equilibrium of more than 2.7% in the
Wadden Sea, while O and K are underestimated by 1 to 4.6%, which would
produce an error of 2 to 5 cm e.g. in the German Wadden Sea.
Additionally, a process-based model of the North Sea was applied at the
diurnal minimum and maximum of the nodal cycle to calculate the spatial
distribution of f and u. Model results reproduce a regionally varying
pattern of f and u, indicating how the amplitude modulation of nodal
constituents in shallow areas is distributed.