The refined willmott et al. index (2011) (dr) can be written as a graphical method giving the overall and real picture, while the different indices give quantitative indicators. The diagnosis that can be made from the diagram must be supported by quantitative measures. The indices should also be consistent in their results. Otherwise, the corresponding quantitative index is not suitable for comparing models and should be abundant from the measure of model performance. When the value of the RMS is standardized by the average measurement, the dispersal index (SI) is sometimes called (Zambresky 1989). When the value of the RMS is standardized by a certain measure used for the propulsion of a model, it is sometimes referred to as “OPI” (Ris et al. 1999). OpI, for example, can be used to provide an estimate of the power of a tree-level transformation model inside the water based on the height of the swell measured at sea. Willmott, C.
J., Robeson, S.M. and Matsuura, K. (2011). A more refined index of the model`s performance. Int. J. Climatol. DOI: 10.1002/joc.2419 The agreement index (d) developed by Willmott (1981) as a standardized measure of the model`s predictive error and varies between 0 and 1. Value 1 gives a perfect match, and 0 gives no match at all (Willmott, 1981).
to be implemented for the calculation of the amended compliance index. The default is j-1. www.mathworks.com/matlabcentral/answers/260302-how-to-find-the-index-of-the-median-of-a-matrix#answer_317330 The agreement index can detect additive and proportional differences in observed and simulated averages and deviations; However, because of its square differences, it is too sensitive to extreme values (Legates and McCabe, 1999). SzR is a measure of dynamic correspondence. Smaller values suggest better consistency. RMSE, ME, STD are linked to statistical indices by the following formula, some of which quantify the difference in the emission of the model of observed or experimental measurements, while others focus on the correlation between forecasts and model measurements. Essentially, Fox (1981) recommended calculating and reporting the following four types of differences: average error, average absolute error, variance in the distribution of difference, and defects of the root ailment square (or its square – the average quadratic error). These difference-based statistics quantify the output output of the measurement model. Specific indicators are also proposed.
Bellocchi et al. (2002) proposed an expert system to calculate a composite indicator of solar radiation performance assessment. They used a correlation coefficient (r), a relative average value error (RRMS), modeling efficiency (EF) and student probability t to form an aggregated form. Confalonieri et al. (2010) proposed a fuzzy indicator to assess soil water simulation. Jacovides and Kontoyiannis (1995) proposed moderate bias errors (MBE) and square value errors (RMSE) in combination with t statistics as statistical indicators for the evaluation and comparison of evapotranspiration computational models. Differences and/or statistical ratios include an average error (ME), a quadratic root value error (RMSE), a relative error (UC) and a correlation coefficient (r) widely prevalent in different areas – plant growth and yield (Geerts et al. 2009), irrigation planning (Liu et al.