RESUME / ABSTRACT  




Sensitivity of a data assimilation system for the North Pacific Ocean circulation to the design of the error covariance matrices



par/by

Tsuyoshi Wakamatsu

Institute of Ocean Sciences, Department of Fisheries and Oceans
Sidney, BC, Canada






A data assimilation system is under development at the Institute of Ocean Sciences based on IPEZ (Inverse Primitive Equation model in Z coordinate) package based in IOM (Inverse Ocean Model) system developed by Chua and Bennett (1991) at the Oregon State University. The goal of the system is to create the best estimate of the Pacific Ocean state during the last decade (1992-2002). We solve the weak-constraint 4DVAR problem using the representer method in this system. Assuming that the dynamics are weakly nonlinear for the basin scale ocean circulation, each representer describes spatial and temporal structure of the impact from a corresponding datum to the optimal solution. Since the representer structure is determined by the model error covariance matrix and model's dynamical operator, we need to search for the best balance between them to determine suitable a interpolation kernel for the reanalysis purpose. In the current system, the error covariance matrix is designed to be univariate while multivariate structure of the representers solely depends on the dynamical operator, which changes its dominant balance according to a data assimilation period. In this presentation we discuss the sensitivity of the analysis to the decorrelation length-scale in the dynamical error covariance matrix and the length of the assimilation period.