Stochastic time-series simulation of wave parameters using ship observations

Long-term time-dependent stochastic modelling of extreme waves

“…The Voluntary Observing Ship (VOS) scheme has been in operation for almost 150 years and has a large set of voluntary collected data. However, due to the fact that ships tend to avoid extreme weather whenever possible, extreme wave events are likely to be under-represented in ship observations and hence such data are not ideally suited to model extreme wave events (DelBalzo et al 2003;Olsen et al 2006).…”

“…Such a procedure consists of determining the transformation function f, generation of realizations of the process {X t } and then transforming the generated samples of {X t } into samples of {Y t } using f. A number of such models for the significant wave height have been proposed in the literature (e.g. Cunha and Guedes Soares (1999), Walton and Borgman (1990) for the univariate time series for significant wave height, H s , Guedes Soares and Cunha (2000), Monbet and Prevosto (2001) for the bivariate time series for significant wave height and mean wave period, (H s , T) and DelBalzo et al (2003) for the multivariate time series for significant wave height, mean wave period and mean wave direction, (H s , T, H m )). However, it is noted that the duration statistics of transformed Gaussian processes has been demonstrated not to fit too well with data, even though the occurrence probability is correctly modelled (Jenkins 2002).…”

General Characteristics of Surface Waves off Port Said, Egypt

“…Moreover, nowadays there are different approaches to simulate and to predict the wind driven surface wave characteristics. These include statistical techniques, discrete spectral approach, stochastic simulation and numerical methods [11][12][13][14][15] Several investigations were carried out on the investigation of surface waves propagation along the northern Egyptian Mediterranean coast. The research activity in this discipline targeted environmental issues asthe protection of coasts against erosion, and the investigation of vulnerability of the coast to the problems of the Sea Level Rise (SLR) and climate change [16,17].…”

Survey of stochastic models for wind and sea state time series

“…It is a non parametric method, in which the function f is selected on the basis of the normal score transformation and the Gaussian process is simulated by using exact simulation algorithms. This approach was been initially proposed by (Walton et al, (1990)) in order to simulate realizations of the process H s and then extended by (Borgman et al, 1991) to multivariate time series (H s , T, Θ m ) and it was also applied, for example, by to simulate the wind pressure on buildings (see (Gioffre et al, 2000) and references therein) and by (DelBalzo et al, 2003) to simulate (H s , T, Θ m ) using buoy and ship observations . In the sequel, it will be denoted TGP (Translated Gaussian Process).…”