# Analysis of the Relationship between Scintillation Parameters, Multipath and ROTI
## 3 Results
### Antarctica Data
As shown in maps of Figure 15a, the high value areas of MP and ROTI separately correspond to different areas of \(\sigma_{\varphi}\). For instance, some satellites signals less influenced by MP may be more affected by ROTI. Therefore, the combination of two parameters can cover more areas of \(\sigma_{\varphi}\) than a single parameter. As shown in Figure 15b, high-value areas of ROTI overlap high-value areas of \(\sigma_{\varphi}\) while MP does not. However, as shown in Figure 15c, MP includes more high-value areas that are spatially-coincident with high-value areas of \(\sigma_{\varphi}\) than ROTI on 9 May 2016. Tables 15-17 show the SSIM and CC between the three parameters shown in Figure 15a-c. Figure 16 shows the occurrence percentage maps as a function of IPP latitude and longitude of three parameters during the time period when largest variations were observed in Figure 11.  
Figure 16a shows that, within a specific time period, MP has the same high-value area as \(\sigma_{\varphi}\). Figure 16b shows that MP and ROTI both share the high-value areas with \(\sigma_{\varphi}\). From Figure 16c, both MP and ROTI agree with \(\sigma_{\varphi}\) for most of the high value areas. These observations are reflected in the CC and SSIM values shown in Tables 18-20. Figures 17 and 18 show the time evolution of the three parameters during 23:10-23:25 on 2 April and during 18:50-19:05 on 13 October 2016, respectively. The SSIM and CC between the parameters in the maps of Figures 17 and 18 are shown in Tables 21 and 22. \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) \\ \hline \(\sigma_{\varphi}\) & 0.17 & \(-\)0.08 (0.83) & 0.90 & 0.97 (\(<\)0.01) \\ \hline \hline \end{tabular}
\end{table} 
Table 20: SSIM and CC between the maps shown in Figure 16c. \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) \\ \hline \(\sigma_{\varphi}\) & 0.17 & \(-\)0.08 (0.83) & 0.90 & 0.97 (\(<\)0.01) \\ \hline \hline \end{tabular}
\end{table} 
Table 20: SSIM and CC between the maps shown in Figure 16c. Figure 17: Consecutive 5 min means over 20 min at SNA0P station on 2 April 2016. \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) \\ \hline \(\sigma_{\varphi}\) & 1.00 & 1.00 (\(<\)0.01) & 0.01 & 0.00 (NaN) \\ \hline \hline \end{tabular}
\end{table} 
Table 18: SSIM and CC between the maps shown in Figure 16a. Figures 17 and 18 show the change in the 5-min mean values for 2016 April 2 and 2016 October 3 respectively. Figure 17 shows that large value areas of all the parameters move towards northeast across 20 min. However, in Figure 18, the large value areas of parameters move towards the southeast over the 20 min. Again, all the parameters have the same direction for propagation. The results shown in Tables 21 and 22 are calculated from six and four points, respectively, leading to a high level of \begin{table}
\begin{tabular}{c c c c c c c c} \hline \hline
**2 April 2016** & \multicolumn{2}{c}{**23:10:00**} & \multicolumn{2}{c}{**23:1500**} & \multicolumn{2}{c}{**232:00:00**} & \multicolumn{2}{c}{**232:00**} \\ \hline
**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. \(\sigma_{\varphi}\) & 0.02 & \(-\)0.63 (0.18) & 0.47 & \(-\)0.33 (0.53) & 0.70 & \(-\)0.29 (0.58) & 0.31 & \(-\)0.50 (0.50) \\ \hline ROTI vs. \(\sigma_{\varphi}\) & 0.47 & 0.26 (0.62) & 0.60 & 0.80 (0.06) & 0.62 & 0.38 (0.45) & 0.50 & 0.37 (0.63) \\ \hline \hline \end{tabular}
\end{table}