Estimation of Extreme Sea Levels in a Tide-Dominated Environment Using Short Data Records

A new method for estimating extreme sea levels from short sea-level records in a tide-dominated environment is presented. A short sea-level record is first decomposed into its constituent components such as tide, mean level of the sea, and storm surge. Monte Carlo simulations are then incorporated into an empirical simulation technique to randomly recombine the components to produce an annual series of sea levels at high tide from which the annual maximum is selected. The yearly simulation is repeated many thousands of times to yield robust statistics on extreme values. Comparison of the method with the traditional extreme-value analysis of annual maximum sea levels for a 33-year record shows that the methods give similar results. The method is likely to be most useful for estimation of extreme sea levels at locations where the available sea-level record is short (<15  years) and where the various sea-level components can be assumed to be largely independent.

[1]  J. Stedinger Frequency analysis of extreme events , 1993 .

[2]  J. R. Wallis,et al.  Some statistics useful in regional frequency analysis , 1993 .

[3]  S. Lentz,et al.  Classical tidal harmonic analysis including error estimates in MATLAB using T_TIDE , 2002 .

[4]  Brani Vidakovic,et al.  The partitioning of attached and detached eddy motion in the atmospheric surface layer using Lorentz wavelet filtering , 1996 .

[5]  Brani Vidakovic,et al.  Identification of Low-Dimensional Energy Containing / Flux Transporting Eddy Motion in the Atmospheric Surface Layer Using Wavelet Thresholding Methods , 1998 .

[6]  J. Hannah Analysis of mean sea level data from New Zealand for the period 1899–1988 , 1990 .

[7]  Barbara Burke Hubbard The World According to Wavelets: The Story of a Mathematical Technique in the Making, Second Edition , 1996 .

[8]  A. M. Davies,et al.  On the modification of tides in shallow water regions by wind effects , 2008 .

[9]  Ben Gouldby,et al.  The joint probability of waves and water levels in coastal engineering design , 2002 .

[10]  N. Bernier,et al.  Tide‐surge interaction off the east coast of Canada and northeastern United States , 2007 .

[11]  J. Hosking L‐Moments: Analysis and Estimation of Distributions Using Linear Combinations of Order Statistics , 1990 .

[12]  David Pugh Changing Sea Levels , 2004 .

[13]  Norman W. Scheffner,et al.  EMPIRICAL SIMULATION TECHNIQUE BASED STORM SURGE FREQUENCY ANALYSES , 1996 .

[14]  J. R. Wallis,et al.  Estimation of the generalized extreme-value distribution by the method of probability-weighted moments , 1985 .

[15]  S. Coles,et al.  An Introduction to Statistical Modeling of Extreme Values , 2001 .

[16]  D. Goring,et al.  El Niño and decadal effects on sea‐level variability in northern New Zealand: A wavelet analysis , 1999 .

[17]  I. Johnstone,et al.  Ideal spatial adaptation by wavelet shrinkage , 1994 .

[18]  D. Goring,et al.  Short period (1–4 h) sea level fluctuations on the Canterbury coast, New Zealand , 1998 .

[19]  Kevin Horsburgh,et al.  Tide-surge interaction and its role in the distribution of surge residuals in the North Sea , 2007 .