P. Dimon et al., CORRELATIONS IN SEA-LEVEL ELEVATIONS, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 56(3), 1997, pp. 2605-2614
We have analyzed a 105-year time record of hourly sea-level elevations
for the port of Esbjerg, Denmark. In addition to well-known periodic
components, the power spectrum has a low-frequency broadband structure
which we interpret as having three regimes behaving approximately as
f(0), f(-1.2), and f(-2.4) with increasing frequency. We attribute thi
s behavior to driven, damped Kelvin waves. In this context, we present
a model which considers the correlation function of a damped wave equ
ation driven by a spatially distributed noise source. We have also stu
died shorter records at other locations which display similar spectra
and compared the coherence functions with the model predictions.