English Abstract
ABSTRACT:
Fractal analysis of a time series provides information on how the series varies across all (possible)
temporal scales with respect to a given statistical measure. Dynamic hydrological models are typically
optimized/calibrated using performance criteria defined in the time domain; however, the performance
of models in simulating the fluctuation structure of a time series is seldom investigated. We use a multiobjective pattern search algorithm to calibrate a combined 15-minute resolution recharge– groundwater flow model. The non-dominated simulations of the model are then analysed in the fractal domain using robust detrended fluctuation analysis. The results show that some non-dominated simulations can be eliminated based on poor performance in the fractal domain, hence ensuring that the fluctuation structure of the optimized simulations is captured; this was named fractal-domain-refinement.
Furthermore, some recharge parameters are sensitive to fractal-domain-refinement. This gives insights
into which parameters are sensitive to the fractal behaviour of the simulated variable.