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An Indicator of Solar Radiation Model Performance based on a Fuzzy Expert System

^a Res. Inst. for Ind. Crops, via di Corticella 133, 40128 Bologna, Italy
^b Dep. of Crop Sci., via Celoria 2, 20133 Milan, Italy

View larger version (35K): [in a new window]   Fig. 1. Examples of pattern indices (PIs) vs. two independent variables [day of the year (doy) and minimum air temperature (Tmin)] computed on residuals generated at Patos de Minas (Brazil) in 1997 by different radiation models [Bristow–Campbell (BC), Campbell–Donatelli (CD), and Donatelli–Bellocchi (DB)].

View larger version (33K): [in a new window]   Fig. 2. Examples of pattern indices (PIs) vs. two independent variables [day of the year (doy) and minimum air temperature (Tmin)] computed on residuals generated at Würzburg (Germany) in 1998 by different radiation models [Bristow–Campbell (BC), Campbell–Donatelli (CD), and Donatelli–Bellocchi (DB)].

View larger version (22K): [in a new window]   Fig. 3. Sensitivity analysis of the indicator Irad to variation of all input indices. Each input index is varied over its transition interval from 0.0 [completely Favorable (F)] to 1.0 (completely Unfavorable (U)] while the other input indices are kept at U (top graph), at the median value of their transition interval (middle graph), or at F (bottom graph). The traces of the pattern index day of year (PIdoy) and pattern index daily minimum air temperature (PITmin) are superimposed. RRMSE, relative root mean square error; EF, efficiency.

View larger version (21K): [in a new window]   Fig. 4. Graphical presentation of (A) crisp and (B) fuzzy sets for the pattern index.

View larger version (24K): [in a new window]   Fig. 5. Membership to the fuzzy sets Favorable (F) and Unfavorable (U) for a hypothetical model response in terms of pattern index day of year (PIdoy) and pattern index daily minimum air temperature (PITmin). PIdoy = 2.00 and PITmin = 1.70.