# Analysis of the Relationship between Scintillation Parameters, Multipath and ROTI
## 3 Results
### Brazil Data

Table 4: SSIM and CC between the maps shown in Figure 7a. Figure 5: Mean value maps of four parameters: (**a**) during 00:00:00–06:00:00 UTC on 8 September 2017 at SAO0P station; and (**b**) during 00:00:00–06:00:00 UTC on 13 September 2017 at SAO0P station; (**c**) during 00:00:00–06:00:00 UTC on 12 March 2011 at PRU2 station. \begin{table}
\begin{tabular}{c c c c c} \hline  & \multicolumn{2}{c}{**MP**} & \multicolumn{2}{c}{**ROTI**} \\ \hline Criteria & SSIM & CC (\(p\)-value) & SSIM & CC (\(p\)-value) \\ S4 & 0.83 & 0.77 (\(<\)0.01) & 0.70 & 0.66 (\(<\)0.01) \\ \(\sigma_{\varphi}\) & 0.69 & 0.56 (\(<\)0.01) & 0.71 & 0.98(\(<\)0.01) \\ \hline \end{tabular}
\end{table} 
Table 5: SSIM and CC between the maps shown in Figure 7b. Figure 6: Variograms and cross-variograms for the four parameters. Figure 6a-c is for the data illustrated in Figure 5a-c. Figure 8a-c shows the occurrence percentage maps as a function of IPP latitude and longitude of four parameters on 8 September and 13 September 2017 at SAOOP station and 12 March 2011 at PRU2 station during the period when the parameters show the largest variation as observed from Figure 3.  
Taking a data period of 5 min with scintillation, as shown in Figure 8, all the parameters are active at the same locations. The SSIM and CC between the parameters in the maps of Figure 8a,b,c are shown in Tables 7-9 respectively. These show that the four parameters are perfectly correlated in all four maps. The SSIMs are less than 1 in Tables 7 and 8, indicating that the mean values of the parameters differ. The time evolution of the four parameters at every 5 min interval on 08 September 2017 during 01:55-02:10 UT and on 13 September during 02:40-02:55 UT respectively are shown in Figures 9 and 10, which are presented in the form of mean value maps. The SSIM and CC between the parameters in the maps of Figures 9 and 10 are shown respectively in Tables 10 and 11. Figure 7: Occurrence percentage maps of four parameters: (**a**) during 00:00:00–06:00:00 UTC on 8 September 2017 at SAOOP station; (**b**) during 00:00:00–06:00:00 UTC on 13 September 2017 at SAOOP station; (**c**) during 00:00:00–06:00:00 UTC on 12 March 2011 at PRU2 station. \begin{table}
\begin{tabular}{c c c c c} \hline \hline  & \multicolumn{2}{c}{**MP**} & \multicolumn{2}{c}{**ROTI**} \\ \hline Criteria & SSIM & CC (\(p\)-value) & SSIM & CC (\(p\)-value) \\ S4 & 0.96 & 1.00 (\(<\)0.01) & 0.96 & 1.00 (\(<\)0.01) \\ \(\sigma_{\varphi}\) & 0.59 & 1.00 (\(<\)0.01) & 0.59 & 1.00 (\(<\)0.01) \\ \hline \hline \end{tabular}
\end{table} 
Table 7: SSIM and CC between the maps shown in Figure 8a. \begin{table}
\begin{tabular}{c c c c c} \hline \hline  & \multicolumn{2}{c}{**MP**} & \multicolumn{2}{c}{**ROTI**} \\ \hline Criteria & SSIM & CC (\(p\)-value) & SSIM & CC (\(p\)-value) \\ S4 & 0.96 & 1.00 (\(<\)0.01) & 0.96 & 1.00 (\(<\)0.01) \\ \(\sigma_{\varphi}\) & 0.83 & 1.00 (\(<\)0.01) & 0.83 & 1.00 (\(<\)0.01) \\ \hline \hline \end{tabular}
\end{table} 
Table 8: SSIM and CC between the maps shown in Figure 8b. Figure 8: Occurrence percentage maps of four parameters: (**a**) during 02:59:00–03:04:00 UTC on 8 September 2017 at SAOOP station; (**b**) during 02:39:00–02:44:00 UTC on 13 September 2017 at SAOOP station; (**c**) during 03:31:00–03:36:00 UTC on 12 March 2011 at PRU2 station. \begin{table}
\begin{tabular}{c c c c} \hline \hline  & \multicolumn{2}{c}{**MP**} & \multicolumn{2}{c}{**ROTI**} \\ \hline Criteria & SSIM & CC (\(p\)-value) & SSIM & CC (\(p\)-value) \\ S4 & 1.00 & 1.00 (\(<\)0.01) & 1.00 & 1.00 (\(<\)0.01) \\ \(\sigma_{\varphi}\) & 1.00 & 1.00 (\(<\)0.01) & 1.00 & 1.00 (\(<\)0.01) \\ \hline \hline \end{tabular}
\end{table} 
Table 9: SSIM and CC between the maps shown in Figure 8c.