“Radiational tides” as nonlinear effects: bispectral interpretation

Details “Radiational tides” as nonlinear effects: bispectral interpretation “Radiational tides” as nonlinear effects: bispectral interpretation

Jul 1996

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996csr....16.1117m&link_type=abstract

Continental Shelf Research, Volume 16, Issue 8, p. 1117-1126.

Astronomy and Astrophysics

Astronomy

1

Scientific paper

In this work it is shown that “radiational tides” could be interpreted as nonlinear effects by using the results of nonlinear tidal analysis. A one-year record (1979) of hourly sea level data from Ingeniero White, Argentina (38°47′S, 62°16′W) was analysed using spectral and bispectral methodologies (Marone and Mesquita, I994), in order to separate linear from nonlinear effects. The results show the same pattern observed when 1980s hourly data were analysed in the cited work. The concept of “radiational tides” was introduced to explain the extra terms used to fit the astronomical tidal potential onto real tidal records (Munk and Cartwright, 1966). Originally, it had a mathematical reasoning based on a physical hypothesis. Later it was proposed that “radiational tides” are a nonlinear effect due to the linkage of linear tidal constituents (Godin, 1986). The original physical interpretation based upon local solar radiational inputs was unsuitable, because one can find “radiational tides” being more important in high latitudes than in tropical or subtropical regions. The current hypothesis in this way relates the “radiational tide” with some global or meso-scale radiational effects of the sun. Anyway, this explanation seems to be incomplete, because the different values of theS2 constituents for narrow ports show that local effects are important. Godin (1986) suggested that nonlinear second order interactions are the most reasonable explanation for the unexpected large values of some tidal constituents, especially in the semidiurnal band. Using the bispectral analysis of sea-level records it was possible to show that a remarkable nonlinear interaction exists besides the diurnal band and that energy is transferred to the semidiurnal band. This fact justifies the interpretation of “radiational tides” as mainly a quadratic frictional linkage between the diurnal constituents. The results suggest that the term “radiational tides” must be used carefully because, using nonlinear time series analyses, results suggest that the hypothesis of nonlinear linkage is the correct one.

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