# Analysis of the Relationship between Scintillation Parameters, Multipath and ROTI
## 3 Results
### Brazil Data
\begin{table}
\begin{tabular}{c c c c c c c c c} \hline \hline
**8 September 2017** & \multicolumn{2}{c}{**01:55:00**} & \multicolumn{2}{c}{**02:00:00**} & \multicolumn{2}{c}{**02:05:00**} & \multicolumn{2}{c}{**02:10:00**} \\ \hline \multirow{2}{*}{**Criteria**} & \multirow{2}{*}{**SSIM**} & \multicolumn{2}{c}{**CC**} & \multirow{2}{*}{**SSIM**} & \multicolumn{2}{c}{**CC**} & \multirow{2}{*}{**SSIM**} & \multicolumn{2}{c}{**CC**} & \multirow{2}{*}{**SSIM**} & \multicolumn{2}{c}{**CC**} \\  & & \multicolumn{2}{c}{**(\(p\)-Value)**} & & \multicolumn{2}{c}{**(\(p\)-Value)**} & & & **(\(p\)-Value)** & **SSIM** & \multicolumn{2}{c}{**(\(p\)-Value)**} \\ \hline MP vs. S4 & 0.85 & 0.98 (\(<\) 0.01) & 0.39 & 0.99 (\(<\) 0.01) & 0.38 & 0.99 (\(<\) 0.01) & 0.50 & 0.98 (\(<\) 0.01) \\ \hline MP vs. \(\sigma_{\varphi}\) & 0.59 & 1.00 (\(<\) 0.01) & 0.33 & 1.00 (\(<\) 0.01) & 0.27 & 0.94 (\(<\) 0.01) & 0.31 & 0.97 (\(<\) 0.01) \\ \hline ROTI vs. S4 & 0.88 & 0.88 (\(<\) 0.01) & 0.78 & 0.97 (\(<\) 0.01) & 0.89 & 0.93 (\(<\) 0.01) & 0.64 & 0.93 (\(<\) 0.01) \\ \hline ROTI vs. \(\sigma_{\varphi}\) & 0.75 & 0.97 (\(<\) 0.01) & 0.73 & 0.98 (\(<\) 0.01) & 0.76 & 0.93 (\(<\) 0.01) & 0.40 & 0.93 (\(<\) 0.01) \\ \hline \hline \end{tabular}
\end{table} 
Table 10: SSIM and CC between the maps shown in Figure 9.  
Figure 9: Consecutive 5 min means over 20 min at SAO0P station on 8 September 2017. Figure 10: Consecutive 5 min means over 20 min at SAO0P station on 13 September 2017. \begin{table}
\begin{tabular}{c c c c c c c c} \hline
**13 September 2017** & \multicolumn{2}{c}{**02:40:00**} & \multicolumn{2}{c}{**02:45:00**} & \multicolumn{2}{c}{**02:50:00**} & \multicolumn{2}{c}{**02:55:00**} \\ \hline \hline \multirow{2}{*}{**Criteria**} & **SSIM** & \begin{tabular}{c} **CC** \\ **(p-Value)** \\ \end{tabular} & **SSIM** & \begin{tabular}{c} **CC** \\ **(p-Value)** \\ \end{tabular} & **SSIM** & \
\begin{tabular}{c} **CC** \\ **(p-Value)** \\ \end{tabular} & **SSIM** &
\begin{tabular}{c} **CC** \\ **(p-Value)** \\ \end{tabular} \\ \hline MP vs. S4 & 0.84 & 0.95 (\(<\)0.01) & 0.46 & 0.71 (0.03) & 0.44 & 0.57 (0.24) & 0.45 & 0.24 (0.57) \\ \hline MP vs. \(\sigma_{\varphi}\) & 0.73 & 0.96 (\(<\)0.01) & 0.26 & \(-\)0.09 (0.82) & 0.28 & \(-\)0.20 (0.71) & 0.43 & \(-\)0.11 (0.80) \\ \hline ROTI vs. S4 & 0.74 & 0.88 (\(<\)0.01) & 0.68 & 0.63 (0.07) & 0.64 & 0.62 (0.19) & 0.86 & 0.63 (0.09) \\ \hline ROTI vs. \(\sigma_{\varphi}\) & 0.60 & 0.93 (\(<\)0.01) & 0.49 & 0.82 (\(<\)0.01) & 0.51 & 0.93 (\(<\)0.01) & 0.82 & 0.90 (\(<\)0.01) \\ \hline \hline \end{tabular}
\end{table} 
Table 11: SSIM and CC between the maps shown in Figure 10.  
As shown in Figures 9 and 10, mean value maps with 5-min interval are constructed to observe the movements of scintillation and the corresponding change of other parameters. It can be seen from Figure 9 that large value areas (yellow areas) of all the parameters move toward southeast after 20-min propagation. Similarly, it can be observed from Figure 10 that large value areas of all the parameters move southeastward slightly over the 20 min. Therefore, MP, ROTI, S4 and \(\sigma_{\varphi}\) share the same propagation direction as observed on both the days from Figures 9 and 10. Table 10 shows that the parameters in Figure 9 maintain very high correlations (CC) throughout the 20-min period. The SSIMs fluctuate due to changes in the mean values of the parameters. For Figure 10 and Table 11 shows that ROTI and S4 and ROTI and \(\sigma_{\varphi}\) maintain a high correlation across the 20-min period. The correlation between MP and S4 declines over the 20-min period. The correlation between MP and \(\sigma_{\varphi}\) is high in the first 5 min but drops sharply and these two parameters are uncorrelated for the remainder of the period.