## 3 Estimation of the Appropriate Fairway Width
### Maritime Traffic Analysis  
In order to design an appropriate width of fairway for the purpose of this study, the current status of maritime traffic was analyzed. Figure 4 shows the traffic flow of the target sea area for 7 days from 24 May 2020 to 30 May 2020. Table A1 of Appendix A provides detailed traffic analysis data and L-converted traffic volume of Figure 4.  
The black flow represents the flow of vessels less than 50 m in long and includes those in the area with a low water depth. The vessel trajectories that form a regular flow are north-south trajectories and east-west trajectories, and the traffic volume was analyzed by dividing them into A and B as shown in Figure 4. The largest transit vessel in the target waters is a container vessel with a length of 339 m and a width of 46 m. The total number of vessels passing through A Gate in the north-south direction is 790, with an average of 113 ships per day and 5 ships per hour. The total number of ships passing at B Gate in the east-west direction is 1206, with an average of 172 ships per day and 7 ships per hour. Numerically, there are many vessels passing through the B Gate, but most are small vessels such as fishing boats. In this study, considering the fact that the characteristics of passing vessels are different for each sea area, the concept of L-converted scales rather than simple vessel scales was introduced [28]. Considering that small ships and large ships represent the same traffic volume when measuring maritime traffic will not lead to an accurate traffic volume analysis. Even for a single vessel, the size of the sea area occupied by different types of vessels will differ, so the degree of risk to the surrounding traffic will be different. The L-converted traffic volume is a quantitative measure of the relationship that takes into consideration the size of ships. For the L-converted traffic volume, each L-conversion factor is calculated based on the length of the vessel, and the L-conversion factor is calculated for each vessel length range when the standard ship converted to 1.  
\begin{table}
\begin{tabular}{c c c c} \hline \hline
**TSS Name** & **Width (m)** & **Width (m) by Bound** \\ \hline \multirow{3}{*}{Hong-do} & \multirow{3}{*}{8570} & West Bound & 3870 \\ \cline{3-3}  & & East Bound & 3800 \\ \cline{3-3}  & & Separation Zone & 900 \\ \hline \multirow{3}{*}{Ong-do} & \multirow{3}{*}{5640} & West Bound & 1830 \\ \cline{3-3}  & & West Bound & 1800 \\ \cline{3-3}  & & Separation Zone & 2010 \\ \hline \multirow{3}{*}{Bukmaemul Sudo} & \multirow{3}{*}{7950} & West Bound & 2750 \\ \cline{3-3}  & & East Bound & 2750 \\ \cline{3-3}  & & Separation Zone & 2450 \\ \hline \multirow{3}{*}{Nammaemul Sudo} & \multirow{3}{*}{7950} & West Bound & 2750 \\ \cline{3-3}  & & East Bound & 2750 \\ \cline{3-3}  & & Separation Zone & 2450 \\ \hline \hline \end{tabular}
\end{table}
Table 3: _Cont._Here, the standard ship length is 82 m. When an A Gate-passing vessel and B Gate-passing vessel are converted into L-converted traffic, the maximum for Gate A is about 20 ships per hour and the maximum for Gate B is about 15 ships per hour, as shown in Figure 4b.