## 2 Materials and Methods
### Related Study and Application to Extract Vessel Passage  
In various studies, AIS data were used to find the route of a ship and to apply it to the network. Furthermore, various studies are being conducted to calculate the safety distance with OWFs by understanding the vessel's traffic volume and applying it to the MSP. Since the methods of securing maritime traffic differ depending on the characteristics of each country, this study will also take Korea's characteristics into account. First, the maritime facility installed in the artificial island and exclusive economic zone of the sea, etc., must pass through with a safety distance of 500 m [37]. As a result, a search radius of 500 m was chosen and analyzed in this study based on the individual ship's track map. Furthermore, as a result of the density analysis that appears, each cell was chosen to be 100 m. The debate over how much data to collect to calculate traffic volume from the perspective of maritime traffic is primarily focused on MSP. In the UK and Belgium, 90% of the total sea traffic was applied and selected as a sea transport route, and it was preserved as a unique shipping area with the highest priority [38,39]. In this study, it was conducted in the form of removing the lower value by applying the density analysis result, not 90% of the UK's total maritime traffic. To select Korea's maritime traffic route in this study, a quantile method was used, which divides all density into equal values ranging from 0% to 100% based on the analysis results. As a result, as shown in Figure 4, the total sea traffic was divided into 90%, 75%, and 50%. Figure 4: _Cont._  
Figure 4 depicts the analysis Area 7 results in three different formats. It is necessary to select a percentage of an appropriate value to create Korea's main maritime traffic route while determining the type of vessel, size of the vessel, and seasonal characteristics. The route for navigating the origins and destinations of ships considers economical and safe routes as operational factors first [40]. As a result, the majority of merchant ships follow similar paths and can be classified as a single traffic route. Figure 4 depicts the safety distance between OWFs and ships in the United Kingdom, where 90% of traffic volume is [38]. The majority of the sea area has a traffic volume and a traffic volume limit that includes a small traffic volume. If it is impossible to use it for other purposes for the safe operation of the ship, a sustainable interest will not be established, so the result is excluded. Figure 4 depicts the results, which show that 75% of the total sea traffic volume is represented. According to [PERSON]'s inequality, this figure results from using a range of 2\(\sigma\). [PERSON]'s inequality is more general, stating that for a wide range of different probability distributions, a minimum of 75% of values must lie within two standard deviations of the mean [41]. In other words, [PERSON]'s inequality indicates that at least 75% of the data distribution exists within the 2\(\sigma\) of the probability distribution under any circumstances [42]. Therefore, it is the result of visually confirming whether the application of this study to the maritime traffic route is possible. To extract the main  
Figure 4: As the result of analysis of maritime traffic density in sea Area 7, the sea area with the highest traffic volume in Korea (**a**) shows 90% of the total sea traffic volume and shows that all sea areas are covered (**b**) of the total sea traffic volume. The result shows 75%, and the result is relatively less than 90%. (**c**) The result shows 50% of the total maritime traffic and shows the main maritime routes. maritime traffic route, it shows a result that is relatively less than 90% of the result. Figure 4c is the result of applying 50% of the total sea traffic volume. It is the result of selecting the nearest percentage of the most similar value after calculating the standard deviation value of the result shown in the analysis Area 7.