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Research Papers: Ocean Engineering

Return Value Estimation of Significant Wave Heights With Maximum Entropy Distribution

[+] Author and Article Information
W. Liu

College of Engineering,
Ocean University of China,
Qingdao 266100, China

L. Z. Zhang

College of Mathematical Sciences,
Ocean University of China,
Qingdao 266100, China

C. Guedes Soares

Centre for Marine Technology and
Engineering (CENTEC),
Instituto Superior Técnico,
Technical University of Lisbon,
Av. Rovisco Pais,
Lisbon 1049-001, Portugal
e-mail: guedess@mar.ist.utl.pt

1Corresponding author.

Contributed by the Ocean, Offshore, and Arctic Engineering Division of ASME for publication in the JOURNAL OF OFFSHORE MECHANICS AND ARCTIC ENGINEERING. Manuscript received May 15, 2011; final manuscript received October 20, 2012; published online May 2, 2013. Assoc. Editor: Arvid Naess.

J. Offshore Mech. Arct. Eng 135(3), 031103 (May 02, 2013) (10 pages) Paper No: OMAE-11-1044; doi: 10.1115/1.4023248 History: Received May 15, 2011; Revised October 20, 2012

The maximum entropy distribution is proposed to fit the long term and extreme distribution of significant wave heights from which return value estimates are derived. The maximum entropy distribution is applied to data from two sites of different characteristics, namely from Japan characterized by the occurrence of typhoons and from the North Sea with continuous variation of sea state intensity. The compound distribution, Poisson-maximum entropy distribution, is described and adopted to model the data from these two locations. It is shown that in the case of continuous data from the North Sea, this model does not bring any advantage over the direct application of the maximum entropy distribution to adjust the significant wave heights larger than different thresholds. For this case the maximum entropy distribution provides good fits.

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Figures

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Fig. 1

Statistical chart of typhoon wave height frequency

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Fig. 2

Annual extreme significant wave heights of 1982–1999

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Fig. 3

Maximum entropy distribution curve of annual extreme value

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Fig. 4

Poisson distribution of storm frequency of different samples

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Fig. 5

Maximum entropy distribution of original significant wave heights

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Fig. 6

100-year quantile estimates of four distributions

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Fig. 7

Maximum entropy distribution curve of annual extreme value

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Fig. 8

100-year quantile estimates of four distributions from bootstrap data

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