Skip to main content Accessibility help
×
Hostname: page-component-78c5997874-ndw9j Total loading time: 0 Render date: 2024-11-17T23:17:02.646Z Has data issue: false hasContentIssue false

Chapter 4 - Tidal analysis and prediction

Published online by Cambridge University Press:  05 May 2014

David Pugh
Affiliation:
National Oceanography Centre, Liverpool
Philip Woodworth
Affiliation:
National Oceanography Centre, Liverpool
Get access

Summary

  1. By what astrology of fear or hope

  2. Dare I to cast thy horoscope!

  3. By the new Moon thy life appears;

  4. Longfellow, To a child

Tidal analysis of data collected by observations of sea levels and currents has two purposes. Firstly, a good analysis provides the basis for predicting tides at future times, a valuable aid for shipping and other operations. Secondly, the results of an analysis can be interpreted scientifically in terms of the hydrodynamics of the seas and their responses to tidal forcing. An analysis provides parameters that can be mapped to describe the tidal characteristics of a region. Preliminary tidal analyses can also be used to check tide gauge performance, as discussed in Chapter 2.

The process of analysis reduces many thousands of numbers, for example a year of hourly sea levels consists of 8760 values, to a few significant stable numbers that contain the soul or quintessence of the record [1]. An example of statistical tidal analysis is given in the description of sea levels in Section 1.6. In tidal analysis the aim is to produce significant time-stable parameters that describe the tidal régime at the place of observation. These parameters should be in a form suitable for prediction, should be related physically to the process of tide generation, and should have some regional stability.

Type
Chapter
Information
Sea-Level Science
Understanding Tides, Surges, Tsunamis and Mean Sea-Level Changes
, pp. 60 - 96
Publisher: Cambridge University Press
Print publication year: 2014

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Godin, G. 1972. The Analysis of Tides. Liverpool: Liverpool University Press.Google Scholar
Doodson, A. T. and Warburg, H. D. 1980. Admiralty Manual of Tides. London: Her Majesty’s Stationery Office.(1st edition, 1941; latest reprint, 1980).Google Scholar
Schureman, P. 1976. Manual of Harmonic Analysis and Prediction of Tides. Special Publication 98, Coastal and Geodetic Survey. Washington, D.C.: U.S. Department of Commerce (1st edition, 1924; latest reprint, 1976).Google Scholar
(1) Foreman, M. G. G. 1977. Manual for Tidal Heights Analysis and Prediction. Canadian Pacific Marine Science Report No. 77–10. See . (2) Parker, B. B. 2007. Tidal Analysis and Prediction. NOAA Special Publication NOS CO-OPS 3. Washington, D.C.: U.S. Department of Commerce, National Oceanic and Atmospheric Administration, National Ocean Service. (3) Simon, B. 2007. La Marée Océanique Côtière. Paris: Institut Océanographique.Google Scholar
Pawlowicz, R., Beardsley, B. and Lentz, S. 2002. Classical tidal harmonic analysis including error estimates in MATLAB using T_TIDE. Computers and Geosciences, 28, 929–937, .CrossRefGoogle Scholar
Cartwright, D. E. 1999. Tides: A Scientific History. Cambridge: Cambridge University Press.Google Scholar
Woodworth, P. L. 2002. Three Georges and one Richard Holden: the Liverpool tide table makers. Transactions of the Historic Society of Lancashire and Cheshire, 151, 19–51.Google Scholar
Darwin, G. H. 1911. The Tides and Kindred Phenomena in the Solar System (3rd edition). London: John Murray.Google Scholar
Doodson, A. T. 1921. Harmonic development of the tide-generating potential. Proceedings of the Royal Society of London, A, 100, 305–329, .CrossRefGoogle Scholar
(1) Cartwright, D. E. and Tayler, R. J. 1971. New computations of the tide-generating potential. Geophysical Journal of the Royal Astronomical Society, 23, 45–74, . (2) Cartwright, D. E. and Edden, A. C. 1973. Corrected tables of tidal harmonics. Geophysical Journal of the Royal Astronomical Society, 33, 253–264, doi:10.1111/j.1365–246X.1973.tb03420.x. (3) For a general review of subsequent more precise expansions of the tidal potential, see Wihelm, H., Zurn, W. and Wenzel, H. G. 1997. Tidal Phenomena. New York: Springer-Verlag.CrossRefGoogle Scholar
Meeus, J. 1998. Astronomical Algorithms (2nd edition). Richmond, VA: Willmann-Bell.Google Scholar
Amin, M. 1976. The fine resolution of tidal harmonics. Geophysical Journal of the Royal Astronomical Society, 44, 293–310, .CrossRefGoogle Scholar
Cartwright, D. E. 1975. A subharmonic lunar tide in the seas off Western Europe. Nature, 257, 277–280, .CrossRefGoogle Scholar
Evans, J. J. and Pugh, D. T. 1982. Analysing clipped sea-level records for harmonic tidal constituents. International Hydrographic Review, 59, 115–122.Google Scholar
U.S. Coast and Geodetic Survey. 1952. Manual of Harmonic Constant Reductions, NOAA Special Publication 260. Washington, D.C.: U.S. Department of Commerce. Available at .Google Scholar
Amin, M. 1979. A note on extreme tidal levels. International Hydrographic Review, 56, 133–141.Google Scholar
Woodworth, P. L. and Cartwright, D. E. 1986. Extraction of the M2 ocean tide from SEASAT altimeter data. Geophysical Journal of the Royal Astronomical Society, 84, 227–255, .CrossRefGoogle Scholar
Parke, M. E., Stewart, R. H., Farless, D. L. and Cartwright, D. E. 1987. On the choice of orbits for an altimetric satellite to study ocean circulation and tides. Journal of Geophysical Research, 92, C11, .CrossRefGoogle Scholar
Derived from Egbert, G. D. and Erofeeva, S. Y. 2002. Efficient inverse modeling of barotropic ocean tides. Journal of Atmospheric and Oceanic Technology, 19, 183–204, .2.0.CO;2>CrossRefGoogle Scholar
Developments of Ray, R. D. 1999. A global ocean tide model from TOPEX/Poseidon altimetry: GOT99, NASA Technical Memorandum 209478. Maryland: Goddard Space Flight Center.Google Scholar
Developed from Lyard, F., Lefevre, F., Letellier, T. and Francis, O. 2006. Modelling the global ocean tides: modern insights from FES2004. Ocean Dynamics, 56, 394–415, .CrossRefGoogle Scholar
Savcenko, R. and Bosch, W. 2012. EOT11a: Empirical Ocean Tide Model from Multi-Mission Satellite Altimetry. Deutsches Geodätisches Forschungsinstitut (DGFI), Munich, Report No. 89.
Cheng, Y. and Andersen, O. B. 2011. Multimission empirical ocean tide modeling for shallow waters and polar seas. Journal of Geophysical Research, 116, C11001, .CrossRefGoogle Scholar
Ray, R. D., Egbert, G. D. and Erofeeva, S. Y. 2011. Tide predictions in shelf and coastal waters: status and prospects. In Coastal Altimetry (eds. Vignudelli, S., Kostianoy, A., Cipollini, P. and Benveniste, J.), pp. 191–216, Berlin: Springer-Verlag, .CrossRefGoogle Scholar
Francis, O. and Mazzega, P. 1990. Global charts of ocean tide loading effects. Journal of Geophysical Research, 95, 11411–11424, .CrossRefGoogle Scholar
Shum, C. K., Woodworth, P. L., Andersen, O. B. et al. 1997. Accuracy assessment of recent ocean tide models. Journal of Geophysical Research, 102, 25173–25194, .CrossRefGoogle Scholar
Munk, W. H. and Cartwright, D. E. 1966. Tidal spectroscopy and prediction. Philosophical Transactions of the Royal Society of London, A, 259, 533–581, .CrossRefGoogle Scholar
Cartwright, D. E. 1968. A unified analysis of tides and surges round north and east Britain. Philosophical Transactions of the Royal Society of London, A, 263, 1–55, .CrossRefGoogle Scholar
Cartwright, D. E. and Ray, R. D. 1991. Energetics of global ocean tides from Geosat altimetry. Journal of Geophysical Research, 96, 16897–16912, .CrossRefGoogle Scholar
Foreman, M. G. G. 1977. Manual for Tidal Heights Analysis and Prediction. Canadian Pacific Marine Science Report No. 77–10. See .
International Hydrographic Organization. 1994. Hydrographic Dictionary. Special Publication No. 32, 5th edition. Monaco: International Hydrographic Organization.Google Scholar
Cartwright, D. E. 1985. Tidal prediction and modern time scales. International Hydrographic Review, 62, 127–138.Google Scholar
Araújo, I. B. and Pugh, D. T. 2008. Sea levels at Newlyn 1915–2005: analysis of trends for future flooding risks. Journal of Coastal Research, 24, 203–212, .CrossRefGoogle Scholar
Colosi, J. A. and Munk, W. 2006. Tales of the venerable Honolulu tide gauge. Journal of Physical Oceanography, 36, 967–996, .CrossRefGoogle Scholar
The many countries that make tidal predictions available include: United States , France , United Kingdom Admiralty , UK NOC , Canada , Australia

Save book to Kindle

To save this book to your Kindle, first ensure coreplatform@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.

Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

Available formats
×

Save book to Dropbox

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Dropbox.

Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

Available formats
×