Wave height characteristics in the north Atlantic ocean: a new approach based on statistical and geometrical techniques |
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Authors: | George Galanis Peter C Chu George Kallos Yu-Heng Kuo C T J Dodson |
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Institution: | (1) Section of Mathematics, Hellenic Naval Academy, Xatzikyriakion, 18539 Piraeus, Greece;(2) Division of Environmental Physics-Meteorology, Atmospheric Modeling and Weather Forecasting Group, University of Athens, School of Physics, University Campus, Bldg. PHYS-V, 15784 Athens, Greece;(3) Department of Oceanography, Graduate School of Engineering & Applied Science, Naval Postgraduate School, Monterey, CA 93943, USA;(4) School of Mathematics, Manchester University, Manchester, M13 9PL, UK |
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Abstract: | The main characteristics of the significant wave height in an area of increased interest, the north Atlantic ocean, are studied
based on satellite records and corresponding simulations obtained from the numerical wave prediction model WAM. The two data
sets are analyzed by means of a variety of statistical measures mainly focusing on the distributions that they form. Moreover,
new techniques for the estimation and minimization of the discrepancies between the observed and modeled values are proposed
based on ideas and methodologies from a relatively new branch of mathematics, information geometry. The results obtained prove
that the modeled values overestimate the corresponding observations through the whole study period. On the other hand, 2-parameter
Weibull distributions fit well the data in the study. However, one cannot use the same probability density function for describing
the whole study area since the corresponding scale and shape parameters deviate significantly for points belonging to different
regions. This variation should be taken into account in optimization or assimilation procedures, which is possible by means
of information geometry techniques. |
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