Model efficiency performance assessment through a standard triangular diagram (STD)

Model efficiency performance provides reliable and acceptable criteria by comparing the factual data with the model results based on a set of significant parameters' comparisons. In this paper, a standard triangular diagram (STD) is proposed for such a goal through the comparisons of arithmetic averages, standard deviations, and serial correlation coefficients ratios. It provides also the comparison among different dimensional units. The application of the STD concept is presented for a set of annual rainfall records at different locations based on monthly hydro-meteorological data (rainfall, potential evaporation, soil moisture, and surface runoff) from Salt Lake (in Turkey) region, monthly flow series from trans-boundary Tigris River and autoregressive moving average, ARIMA, and stochastic model ensemble of simulations.