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empirical orthogonal functions
empirical orthogonal teleconnections
forecasting skill

How to Cite

Magar, V., Gross, M. S., Probert, G., Reeve, D. E., & Cai, Y. (2012). STATISTICAL PREDICTION OF COASTAL AND ESTUARINE EVOLUTION. Coastal Engineering Proceedings, 1(33), sediment.124.


This paper presents a novel data-driven methodology based on empirical orthogonal teleconnections (EOTs) to analyse and forecast the evolution of coastal navigational channels near the mouth of the Exe estuary, UK. This is the first time EOTs are used in coastal morphodynamics. Therefore, particular emphasis is placed on the comparison of EOTs with the well established empirical orthogonal functions (EOFs) method. EOTs and EOFs are used with a series of 14 surveys, taken approximately every 8 months, covering the period between January 2001 and February 2010. The skill of the methods in producing accurate bathymetric one-step forecasts for February 2010 is analyzed and compared with one-step forecasts based on the raw data. It is found that, provided the order of the autoregressive forecast method is chosen appropriately, EOTs and EOFs are better than the raw data and EOTs outperforms than EOFs. This is attributed to the fact that EOTs, without the orthonormality restriction for the temporal eigenfunctions required in EOFs, capturing the temporal patterns within the data more accurately than EOFs.


Burg, J. P., 1967. Maximum entropy spectral analysis, paper presented at the 37th Annual International Meeting, Soc. Of Explor. Geophys., Oklahoma City, Okla., Oct. 31, 1967.

Burg, J. P., 1968. A new analysis technique for time series data, paper presented at Advanced Study Institute on Signal Processing, NATO, Enschede, Netherlands, 1968.

International Hydrographic Organisation - IHO, 2008. IHO Standards for Hydrographic Surveys. Publication S-44, third ed. International Hydrographic Bureau, Monaco. Available from:

Larson, M., Capobianco, M., Jansen, H., RózyÅ,,ski, G., Southgate, H. N., Stive, M., Wijnberg, K. M., Hulscher, S., 2003. Analysis and modeling of field data on coastal morphological evolution over yearly and decadal time scales. Part 1: background and linear techniques. Journal of Coastal Research, 19 (4), 760-775.

Magar, V., Lefranc, M., Hoyle, R. B., Reeve, D. E., 2012. Spectral quantification of nonlinear behaviour of the nearshore seabed and correlations with potential forcings at Duck, N.C., U.S.A. PLoS ONE 7(6): e39196. doi:10.1371/journal.pone.0039196

Pape, L., Ruessink, B.G., 2008. Multivariate analysis of nonlinearity in sandbar behavior. Nonlinear Processes in Geophysics 15 (1), 145-158.

Rattan S. S. P., Ruessink B. G., Hsieh W. W., 2005. Non-linear complex principal component analysis of nearshore bathymetry. Nonlinear Processes in Geophysics 12 (5), 661-670.

Reeve, D. E., Horrillo-Caraballo, J., Magar, V., 2008. Statistical analysis and forecasts of long-term sandbank evolution at Great Yarmouth, UK. Estuarine, Coastal and Shelf Science 79 (3), 387-399.

Reeve D. E., Li, Y., Lark, M., Simmonds D. S., 2007. An investigation of the multiscale temporal variability of beach profiles at Duck using wavelet packet transforms. Coastal Engineering 54 (5), 401-415.

Southgate, H.N., Wijnberg, K.M., Larson, M., Capobianco, M., Jansen, H., 2003. Analysis of field data of coastal morphological evolution over yearly to decadal timescales. Part 2: non-linear techniques. Journal of Coastal Research, 19 (4), 776-789.

Van Den Dool, H., Saha, S. Johansson, A., 2000. Empirical Orthogonal Teleconnections. Journal of Climate 13, 1421-1435.<1421:EOT>2.0.CO;2

Van Den Dool, H., 2007. Empirical Methods in Short-Term Climate Prediction. Oxford University Press.


Winant, C. D., Inman, D. L., Nordstrom, C. E., 1975. Description of seasonal beach changes using empirical eigenfunctions. Journal of Geophysical Research 80(15), 1979-1986.

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