Evaluating the performance of hydrological models with joint multifractal spectra

The investigation of methods to evaluate the performance of hydrological models has never stopped. This study explores an innovative application, called joint multifractal spectra (JMS) analysis. The JMS analysis, which is demonstrated in three typical basins in Zhejiang Province, China, analyses both flood and low-flow periods. JMS is applied to seasonal-decomposed observed and simulated runoff series, thus helping to analyse the rising and the recession processes of discharge, which are unique features of a hydrograph. This is achieved by using q exponents to magnify or shrink the relative magnitudes of different parts. The joint multifractal spectra revealed many details of modelling, like the evaluation of recession process modelling. Given its versatility, the JMS analysis has great potential for its applications in hydrological modelling.