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Discussion papers
https://doi.org/10.5194/os-2019-71
© Author(s) 2019. This work is distributed under
the Creative Commons Attribution 4.0 License.
https://doi.org/10.5194/os-2019-71
© Author(s) 2019. This work is distributed under
the Creative Commons Attribution 4.0 License.

Research article 18 Jun 2019

Research article | 18 Jun 2019

Review status
This discussion paper is a preprint. It is a manuscript under review for the journal Ocean Science (OS).

Reassessment of long-period constituents for tidal predictions along the German North Sea coast and its tidally influenced rivers

Andreas Boesch and Sylvin Müller-Navarra Andreas Boesch and Sylvin Müller-Navarra
  • Bundesamt für Seeschifffahrt und Hydrographie, Bernhard-Nocht-Straße 78, 20359 Hamburg, Germany

Abstract. The Harmonic Representation of Inequalities is a method for tidal analysis and prediction. With this technique, the deviations of heights and lunitidal intervals, especially of high and low waters, from their respective mean values are represented by superpositions of long-period tidal constituents. This study documents the preparation of a constituents list for the operational application of the Harmonic Representation of Inequalities. Frequency analyses of observed heights and lunitidal intervals of high and low water from 111 tide gauges along the German North Sea coast and its tidally influenced rivers have been carried out using the generalized Lomb-Scargle periodogram. One comprehensive list of partial tides is realized by combining the separate frequency analyses and by applying subsequent improvements, e.g. through manual inspections of long-time data. The new set of 39 partial tides largely confirms the previously used set with 43 partial tides. Nine constituents are added and 13 partial tides, mostly in close neighbourhood of strong spectral components, are removed. The effect of these changes has been studied by comparing predictions with observations from 98 tide gauges. Using the new set of constituents, the standard deviations of the residuals are reduced by 2.41 % (times) and 2.30 % (heights) for the year 2016. The new set of constituents is used for tidal analyses and predictions starting with the German tide tables for the year 2020.

Andreas Boesch and Sylvin Müller-Navarra
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Andreas Boesch and Sylvin Müller-Navarra
Andreas Boesch and Sylvin Müller-Navarra
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Latest update: 19 Jul 2019
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Short summary
Analyses of ocean tides are based on the separation of the tidal signal into constituents with different periodicities. We prepare a constituents list for the operational usage of a tidal prediction method called Harmonic Representation of Inequalities. A frequency analysis is applied to data from 111 tide gauges. The new list consists of 39 entries. This are four constituents less than previously used. Comparisons with observations suggest that it leads to slightly improved tidal predictions.
Analyses of ocean tides are based on the separation of the tidal signal into constituents with...
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