In this paper we consider a parameter estimation procedure for shallow
sea models. The method is formulated as a minimization problem. An ad
joint model is used to calculate the gradient of the criterion which i
s to be minimized. In order to obtain a robust estimation method, the
uncertainty of the open boundary conditions can be taken into account
by allowing random noise inputs to act on the open boundaries. This me
thod avoids the possibility that boundary errors are interpreted by th
e estimation procedure as parameter fluctuations. We apply the paramet
er estimation method to identify a shallow sea model of the entire Eur
opean continental shelf. First, a space-varying bottom friction coeffi
cient is estimated simultaneously with the depth. The second applicati
on is the estimation of the parameterization of the wind stress coeffi
cient as a function of the wind velocity. Finally, an uncertain open b
oundary condition is included. It is shown that in this case the param
eter estimation procedure does become more robust and produces more re
alistic estimates. Furthermore, an estimate of the open boundary condi
tions is also obtained.