## 3 Results and Discussion
### Quality Control: Global Solar Irradiance and Temperature
#### 3.2.2 Performance
\begin{table}
\begin{tabular}{c c c c} \hline \hline  & \multicolumn{3}{c}{**Hargreaves and Samani**} \\ \hline AWS & BC & HS & ON & Proposed \\ \hline Biotopo & 1.152,62 & **993,64** & 1.155,07 & 1.113,48 \\ Viento Libre & 1.086,47 & 1.080,72 & 1.110,62 & **1.077,35** \\ Cerro Patamo & 1.194,57 & 1.209,76 & 1.196,56 & **1.152,72** \\ Universidad de Nariño & 1.032,45 & 1.083,73 & 1.032,24 & **1.019,14** \\ Botana & 1.052,42 & 1.070,23 & 1.077,17 & **1.042,68** \\ Josefina & 1.020,00 & 1.066,18 & 999,28 & **984,75** \\ Parasio & 930,82 & 990,32 & 938,02 & **921,32** \\ Guapi & 965,40 & **878,75** & 961,21 & 915,53 \\ \hline \multicolumn{3}{c}{\(SD\)} \\ \hline AWS & BC & HS & ON & Proposed \\ \hline \hline \end{tabular}
\end{table} 
Table 12: Summary of the empirical model’s statistics results. The best result for each AWS is in bold. \begin{table}
\begin{tabular}{c c c c c} \hline \hline  & & \multicolumn{2}{c}{_RMSE [Wh/m\({}^{2}\) day]_} & \\ AWS & BC & HS & ON & Proposed \\ \hline Biotopo & 49,90 & **43,11** & 50,08 & 48,29 \\ Vienio Libre & 29,21 & 29,05 & 29,86 & **28,97** \\ Cerro Paramo & 56,04 & 56,77 & 56,15 & **54,08** \\ Universidad de & 31,89 & 33,58 & 31,88 & **31,47** \\ Narino & 34,46 & 35,05 & 35,23 & **34,14** \\ Josefina & 31,29 & 33,06 & 30,99 & **30,53** \\ Paraiso & 27,82 & 29,58 & 28,04 & **27,54** \\ Guapi & 31,75 & **28,91** & 31,58 & 30,12 \\ \hline \multicolumn{5}{c}{_MBE_ [Wh/m\({}^{2}\) day]} \\ \hline AWS & BC & HS & ON & Proposed \\ \hline Biotopo & \(-\)77,79 & **\(-\)2,01** & \(-\)45,24 & \(-\)37,29 \\ Vienio Libre & 162,63 & 163,13 & 167,77 & **160,23** \\ Cerro Paramo & 37,90 & **21,29** & 27,22 & 33,37 \\ Universidad de & 90,20 & **62,04** & 93,68 & 93,72 \\ Narino & 48,24 & **42,30** & 71,63 & 47,13 \\ Josefina & **5,28** & \(-\)20,58 & 16,92 & 22,18 \\ Paraiso & \(-\)25,17 & **\(-\)42,52** & \(-\)15,89 & \(-\)**14,98** \\ Guapi & \(-\)36,98 & \(-\)**16,38** & \(-\)53,45 & \(-\)27,50 \\ \hline \multicolumn{5}{c}{_MAE_ [Wh/m\({}^{2}\) day]} \\ \hline AWS & BC & HS & ON & Proposed \\ \hline Biotopo & 916,08 & **800,52** & 917,96 & 885,10 \\ Vienio Libre & 863,76 & **861,64** & 883,10 & 862,86 \\ Cerro Paramo & 940,46 & 946,29 & 929,90 & **887,34** \\ Universidad de & 845,12 & 884,48 & 841,37 & **833,30** \\ Narino & 866,59 & 881,19 & 888,56 & **860,18** \\ Josefina & 769,70 & 830,06 & 767,58 & **760,43** \\ Paraiso & 757,02 & 806,64 & 760,64 & **748,67** \\ Guapi & 753,77 & **696,35** & 773,11 & 733,40 \\ \hline \multicolumn{5}{c}{_UB_ [Wh/m\({}^{2}\) day]} \\ \hline AWS & BC & HS & ON & Proposed \\ \hline Biotopo & 2.261,26 & **1.949,37** & 2.266,06 & 2.184,48 \\ Vienio Libre & 213,02,26 & 2118,99 & 2.177,61 & **2.112,38** \\ Cerro Paramo & 2.343,94 & 2.373,74 & 2.347,83 & **2.261,82** \\ Universidad de & 2.024,57 & 2.125,13 & 2.024,17 & **1.998,46** \\ Narino & 2.063,85 & 2.098,79 & 2.112,40 & **2.044,75** \\ Josefina & 1978,99 & 1.941,90 & 1.959,53 & **1.931,04** \\ Paraiso & 1.852,53 & 1.941,90 & 1.839,34 & **1.806,99** \\ Guapi & 1.893,21 & **1.7231.058, 77 Wh/m2 day; followed by the BC model, with 1.052, 96 Wh/m2 day; the HS model, with 1.046, 66 Wh/m2 day; and the proposed model, with 1.028, 37 Wh/m2 day. The standard deviation showed that _Cerro Paramo_ presented more scattered values than the other AWSs. By comparing the four models and analyzing the average standard deviation, the best option is the proposed model. The _MBE_ showed that the BC model made an underestimation of \(77,79\)Wh/m2 day in _Cerro Paramo_. All models--ON, HS, BS, and the proposed model--overestimated the solar resource in _Vierto Libre_ by \(167,77\)Wh/m2 day, \(163,13\)Wh/m2 day, \(162,63\)Wh/m2 day, and \(160,23\)Wh/m2 day, respectively. The MAE showed that the proposed model had the best performance, with an average error of \(821,41\)Wh/m2 day, while the ON model reached an average error of \(8.45,27\)Wh/m2 day.