Optimisation of simplified GCMs using circulation indices and maximum entropy production

Two kinds of objective functions for parameter optimisation in simplified general circulation models (SGCMs) are introduced and tested with an SGCM employing linear parameterisations for diabatic heating, surface friction and horizontal diffusion. (a) A set of circulation indices is introduced to characterise the zonal mean primary and secondary circulation and the global energetics. The objective function is then given by the distance between the modelled and a reference (e.g. observed) circulation in a state space spanned by these indices. (b) The global and time mean entropy production and kinetic energy dissipation are introduced as additional objective functions, following the maximum entropy production principle. It is found that both methods lead to optimal parameter values close to the standard configuration of the model, though the method of the second kind is restricted to those model parameters associated with internal processes such as heat and momentum fluxes.