## 5 Results
### Inter-Channel Spatial/Temporal Correlation at Plot Scale
\begin{table}
\begin{tabular}{c c c c c c c c c c} \hline \hline  & \multicolumn{8}{c}{\(n\) between \(r_{\rm s}\) and \(F_{\rm v}\)} \\ \cline{2-10} \(r_{\rm s}\) & \multicolumn{2}{c}{**Sugar Beet**} & \multicolumn{2}{c}{**Barley**} & \multicolumn{2}{c}{**M Maize**} & \multicolumn{2}{c}{**Rape**} & \multicolumn{2}{c}{**Wheat**} \\ \cline{2-10}  & \(r\) & \(p\)-Value & \(r\) & \(p\)-Value & \(r\) & \(p\)-Value & \(r\) & \(p\)-Value & \(r\) & \(p\)-Value \\ \hline \(\theta^{\circ}\)X\({}_{\rm HH}\) vs. \(\theta^{\circ}\)X\({}_{\rm VV}\) & 0.72 & \(1.7\times 10^{-1}\) & \(-0.41\) & \(7.3\times 10^{-2}\) & \(-0.83\) & \(4.2\times 10^{-2}\) & \(-0.21\) & \(3.5\times 10^{-1}\) & - & - \\ \(\theta^{\circ}\)X\({}_{\rm HH}\) vs. \(\theta^{\circ}\)X\({}_{\rm VV}\) & -0.44 & \(1.6\times 10^{-1}\) & \(-0.41\) & \(7.0\times 10^{-2}\) & \(-0.91\) & \(1.3\times 10^{-2}\) & \(-0.33\) & \(1.3\times 10^{-1}\) & \(0.78\) & \(4.4\times 10^{-8}\) \\ \(\theta^{\circ}\)X\({}_{\rm HH}\) vs. \(\theta^{\circ}\)X\({}_{\rm VV}\) & -0.55 & \(3.3\times 10^{-1}\) & \(0.28\) & \(2.4\times 10^{-1}\) & \(-0.83\) & \(4.1\times 10^{-2}\) & \(-0.46\) & \(2.6\times 10^{-2}\) & - & - \\ \(\theta^{\circ}\)X\({}_{\rm HH}\) vs. \(\theta^{\circ}\)X\({}_{\rm HH}\) & -0.65 & \(2.3\times 10^{-1}\) & - & - & -0.20 & \(7.1\times 10^{-1}\) & \(0.23\) & \(3.0\times 10^{-1}\) & \(0.79\) & \(3.6\times 10^{-8}\) \\ \(\theta^{\circ}\)X\({}_{\rm HH}\) vs. \(\theta^{\circ}\)X\({}_{\rm HH}\) & -0.62 & \(2.2\times 10^{-1}\) & - & -0.42 & \(4.1\times 10^{-1}\) & - & - & - & - \\ \(\theta^{\circ}\)X\({}_{\rm HH}\) vs. \(\theta^{\circ}\)X\({}_{\rm HH}\) & -0.30 & \(6.2\times 10^{-1}\) & - & -0.76 & \(1.5\times 10^{-1}\) & - & - & \(-0.49\) & \(2.8\times 10^{-2}\) \\ \(\theta^{\circ}\)X\({}_{\rm HH}\) vs. \(\theta^{\circ}\)X\({}_{\rm HH}\) & -0.30 & \(6.2\times 10^{-1}\) & - & \(-0.76\) & \(1.4\times 10^{-1}\) & -0.57 & \(2.4\times 10^{-1}\) & \(-0.41\) & \(6.0\times 10^{-2}\) & \(0.74\) & \(2.1\times 10^{-4}\) \\ \(\theta^{\circ}\)X\({}_{\rm HH}\) vs. \(\theta^{\circ}\)X\({}_{\rm HH}\) & -0.46 & \(4.3\times 10^{-1}\) & - & - & 0.29 & \(5.8\times 10^{-1}\) & \(-0.36\) & \(9.8\times 10^{-2}\) & \(0.45\) & \(4.5\times 10^{-2}\) \\ \(\theta^{\circ}\)X\({}_{\rm HH}\) vs. \(\theta^{\circ}\)X\({}_{\rm HH}\) & - & - & - & - & 0.31 & \(5.5\times 10^{-1}\) & \(-0.35\) & \(1.1\times 10^{-1}\) & - & - \\ \(\theta^{\circ}\)X\({}_{\rm HH}\) vs. \(\theta^{\circ}\)X\({}_{\rm HH}\) & 0.32 & \(5.9\times 10^{-1}\) & - & - & - & - & \(-0.25\) & \(2.6\times 10^{-1}\) & \(0.25\) & \(2.9\times 10^{-1}\) \\ \hline \end{tabular}
\end{table} 
Table 10: \(r_{\rm t}\) vs. \(F_{\rm v}\) temporal correlations, \(r_{\rm t}\), over the whole period for different crops; significant correlations (\(p\)-value \(<\) 0.05) are in light-gray highlighted; strong (\(0.6<r<0.8\)) significant correlations are also bolded; very strong (\(r>0.8\)) significant correlations are not reported. \begin{table}
\begin{tabular}{c c c c c c c c c c c} \hline \hline  & \multicolumn{8}{c}{\(n\) between \(r_{\rm s}\) and \(\rm{m_{\rm v}}\)} \\ \cline{2-10}  & \multicolumn{2}{c}{**Sugar Beet**} & \multicolumn{2}{c}{**Barley**} & \multicolumn{2}{c}{**M Maize**} & \multicolumn{2}{c}{**Rape**} & \multicolumn{2}{c}{**Wheat**} \\ \cline{2-10}  & \(r\) & \(p\)-Value & \(r\) & \(p\)-Value & \(r\) & \(p\)-Value & \(r\) & \(p\)-Value & \(r\) & \(p\)-Value \\ \hline \(\theta^{\circ}\)X\({}_{\rm HH}\) vs. \(\theta^{\circ}\)X\({}_{\rm VV}\) & 0.55 & \(3.3\times 10^{-1}\) & 0.52 & \(2.6\times 10^{-2}\) & \(-0.49\) & \(4.0\times 10^{-1}\) & - & - &Over vegetated areas, among 180 correlations (9 band couples, 4 soil-vegetation variables, 5 crops), only 34 (\(\approx\)18%) \(r_{\text{t}}\) were higher than \(\leavevmode\
obreak\ 1.06\,|\,;14\) are strong and very strong significant correlations and 5 of these involve multi-frequency combinations (Tables 8-11).