Joint spatial modeling of significant wave height and wave period using the SPDE approach

The ocean wave distribution in a specific region of space and time is described by its sea state. Knowledge about the states ship encounters on journey can be used to assess various parameters risk wear associated with this journey. Two important characteristics state are significant height mean period. We propose joint spatial model these two quantities north Atlantic ocean. describes logarithm as bivariate Gaussian random field, modeled solution system coupled fractional stochastic partial differential equations. field non-stationary allows for arbitrary, different, smoothness marginal fields. estimated from data using stepwise maximum likelihood method. fitted derive accumulated fatigue damage sailing transatlantic route. Also, method estimating capsizing due broaching-to based investigated. risks calculated route between America Europe both model. results show that compares well observed data. It further shows needed cannot simply approximated alone.