The harmonic analysis of tidal model time series

Foreman, Michael; Henry, R. F.

doi:10.1016/0309-1708(89)90017-1

Cited by 161 publications

(87 citation statements)

References 5 publications

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“…Normally it requires about six months of data to separate S 2 and K 2 or K 1 and P 1 . But for the present analysis of the tidal model output, the analysis period of 30 days is sufficient because the model output is much less noisy than tide-gauge or current-meter data (Han, 2000;Foreman and Henry, 1989). Sensitivity analyses using the longer time series of model output or excluding K 2 and P 1 produce essentially the same results.…”

Section: Numerical Runs and Solution Proceduresmentioning

confidence: 82%

A 3‐D data‐assimilative tidal model of the northwest Atlantic

Paturi

Young

et al. 2010

Atmosphere-Ocean

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Section: Numerical Runs and Solution Proceduresmentioning

confidence: 82%

A 3‐D data‐assimilative tidal model of the northwest Atlantic

Paturi

Young

et al. 2010

Atmosphere-Ocean

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“…K 1 does not have an annual modulation. Constituent K 1 (T = 23.934522 h) is not resolved from constituent P 1 (T = 24.065873 h) in a 29-day analysis, so instead P 1 was inferred from K 1 using the relationship determined by the yearlong analysis [Foreman and Henry, 1989;Pawlowicz et al, 2002]. Linear superposition of K 1 and P 1 creates a beat period of 1/2 year [Pugh, 1987].…”

Section: Seasonal Variabilitymentioning

confidence: 99%

Tidal currents in the St. Lawrence Island region

Danielson

Kowalik

2005

J. Geophys. Res.

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[1] Vertical and spatial variability of tidal currents in the northern part of the Bering Sea near St. Lawrence Island were examined using observations made at 17 new and historical current meter mooring locations. The semidiurnal currents dominate over the diurnal currents. Semidiurnal currents exhibit a seasonal modulation with currents being somewhat stronger during the summer and fall when the density structure displays two-layer stratification. Diurnal currents exhibit a weak semiannual modulation. Examination of the vertical structure of tidal currents shows that maximum semidiurnal currents are observed in the upper or middle layers down to a depth of about 20 m, and below this depth the energy of the semidiurnal currents decreases rapidly. However, the energy of diurnal band currents remains almost constant with depth, decreasing only in close proximity to the bottom. Rotary spectral analysis applied to the records shows further differences: the M 2 clockwise (CW) component of rotation dominates in the upper and middle water column but the counterclockwise component (CCW) dominates near the bottom. Interpretation of these observed results points to the different bottom boundary layers (BBL) for the CW and CCW motions in addition to the role of density stratification in organizing the BBL. We compare results of a vertically averaged two-dimensional model to the observationally derived tidal ellipse parameters and show that the barotropic formulation provides a first-order description of the tidal regime within the domain.

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“…This causes tidal cycles to differ depending on global location. Bernoulli's contributions in hydraulic motion and Laplace's research in separation of cyclic motions were forerunners to current techniques of harmonic regression in tidal theory (Foreman and Henry, 1989).…”

Section: Background: Tidal Forcesmentioning

confidence: 99%

Nonparametric harmonic regression for estuarine water quality data

Autin

Edwards

2009

Environmetrics

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SUMMARYPeriodicity is omnipresent in environmental time series data. For modeling estuarine water quality variables, harmonic regression analysis has long been the standard for dealing with periodicity. Generalized additive models (GAMs) allow more flexibility in the response function. They permit parametric, semiparametric, and nonparametric regression functions of the predictor variables. We compare harmonic regression, GAMs with cubic regression splines, and GAMs with cyclic regression splines in simulations and using water quality data collected from the National Estuarine Reasearch Reserve System (NERRS). While the classical harmonic regression model works well for clean, near-sinusoidal data, the GAMs are competitive and are very promising for more complex data. The generalized additive models are also more adaptive and require less-intervention.

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The harmonic analysis of tidal model time series

Cited by 161 publications

References 5 publications

A 3‐D data‐assimilative tidal model of the northwest Atlantic

A 3‐D data‐assimilative tidal model of the northwest Atlantic

Tidal currents in the St. Lawrence Island region

Nonparametric harmonic regression for estuarine water quality data

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