## 3 Experiment
### Performance of the Proposed MNSS  
Figure 5 shows the zone results of remote sensing classification at five different spatial scales, from 2-m resolution, 6-m resolution, 18-m resolution, 54-m resolution, to 162-m resolution. According to the zone results, the sampling rate of each zone was deduced from low to high resolution, which was from 162-m resolution, 54-m resolution, 18-m resolution, 6-m resolution, to 2-m resolution. At the fifth level of the spatial resolution, the sampling rate of each zone was determined by the area of each zone to the total studied region area. According to the sampling rate at the fifth level spatial resolution, the sampling rate of each zone was calculated by Equation (2) from low to high resolution. Tables 1-5 show the sampling rate of each zone at different spatial scales.  
Figure 5: Zone results of remote sensing classification at five different spatial scales.  
\begin{table}
\begin{tabular}{c c c c c c c} \hline \hline  & **1-Zone at** & **2-Zone at** & **3-Zone at** & **4-Zone at** & **5-Zone at** & **Total** \\  & **Level** & **Level** & **Level** & **Level** & **Level** & **Level** \\ \hline Sampling & & & & & & \\ rate (\%) & 0.0276 & 1.4717 & 20.9721 & 55.5315 & 21.9971 & 100.00 \\ \hline \end{tabular}
\end{table}
Table 1: Sampling rate of each zone at the fifth-level spatial resolution (162-m).  
\begin{table}
\begin{tabular}{c c c c c c c} \hline \hline  & **Sampling** & **1-Zone at** & **2-Zone at** & **3-Zone at** & **4-Zone at** & **5-Zone at** \\  & **Rate (\%)** & **the Third** & **the Third** & **the Third** & **the Third** & **the Third** & **the Third** \\ Zones at the & 1-zone at the & 0.0354 & 0.0288 & 0.0005 & 0.0000 & 0.0000 \\  & fourth level & 2-zone at the & 14.1534 & 28.3277 & 7.4032 & 0.0530 & 0.0000 \\  & fourth level & 0.0523 & 0.1596 & 0.0721 & 0.0085 & 0.0001 \\  & fourth level & 4-zone at the & 4.0870 & 20.6986 & 19.2484 & 5.4054 & 0.2637 \\  & 5-zone at the & 0.0000 & 0.0000 & 0.0012 & 0.0012 & 0.0000 \\ \hline \hline \end{tabular}
\end{table}
Table 3: Sampling rate of each zone at the third-level spatial resolution (18-m).  
\begin{table}
\begin{tabular}{c c c c c c c} \hline \hline  & **Sampling** & **1-Zone at** & **2-Zone at** & **3-Zone at** & **4-Zone at** & **5-Zone at** \\  & **Rate (\%)** & **the Fifth** & **the Fifth** & **the Fifth** & **the Fifth** & **the Fifth** \\  & **Level** & **Level** & **Level** & **Level** & **Level** \\ \hline Sampling & & & & & & \\ rate (\%) & 0.0276 & 1.4717 & 20.9721 & 55.5315 & 21.9971 & 100.00 \\ \hline \end{tabular}
\end{table}
Table 2: Sampling rate of each zone at the fourth-level spatial resolution (54-m).  
\begin{table}
\begin{tabular}{c c c c c c c} \hline \hline  & **Sampling** & **1-Zone at** & **2-Zone at** & **3-Zone at** & **4-Zone at** & **5-Zone at** \\  & **Rate (\%)** & **the Fifth** & **the Fifth** & **the Fifth** & **the Fifth** & **the Fifth** \\  & **Level** & **Level** & **Level** & **Level** & **Level** \\ \hline Sampling & & & & & & \\ rate (\%) & 0.00276 & 1.4717 & 20.9721 & 55.5315 & 21.9971 & 100.00 \\ \hline \end{tabular}
\end{table}
Table 1: Sampling rate of each zone at the fifth-level spatial resolution (162-m).  
The sample pixel number of the studied remote sensing image (\(n\)) was 1800. According to the sampling rate as shown in Table 5, the sampling size of each zone at the original spatial resolution was determined. And form 1-zone to 5-zone, the sampling size was and it was 355, 459, 378, 456, and 152, respectively.