## 4 Results
### Case of Study  
To validate the scenarios with the method, a case study was considered. To this end, the study area corresponds to the intersection of Avenida Francia with Avenida Errazuriz, located just steps from the Francia Station of the Valparango metro-train (see Figure 4). This area is popularly known as the \"University District\" because it is home to several higher education institutions. Due to its proximity to these schools, the aforementioned intersection is one of the main access routes to the University District, as it is located near Francia Station and a bus stop serving both urban and interurban routes, facilitating student access to their respective schools. As a consequence, during peak hours, the intersection experiences a large flow of pedestrians, most of whom are students. These pedestrians often cross the street diagonally, disregarding the designated crossing markings, which can lead to potential accidents with vehicles. For this reason, it is necessary to examine the possibility of adjusting the traffic signal timings at the intersection to prevent such accidents. Additionally, the study explores the presence of pedestrians with reduced mobility such as wheelchair users, cane users, and trolley users to ensure that the intersection is accessible and safe for all users. Avenida Francia runs in a north-south and south-north direction, and it is classified as a collector road. On the other hand, Avenida Errazuriz runs in an east-west and west-east direction and is considered a main thoroughfare. The intersection of these two avenues is the study area, where Avenida Errazuriz experiences a higher volume of vehicular traffic. This difference in traffic flow between the two avenues is an important factor to consider when analyzing the overall dynamics of the intersection, particularly in terms of vehicle and pedestrian interactions (see Figure 5). Avenida Errazuriz, when moving from west to east, has three lanes, each 3 m wide. In the opposite direction (east to west), it consists of two lanes, each 3.5 m wide, and features a median that is 3.4 m wide. The south sidewalk of Avenida Errazuriz is 3 m wide. On the other hand, Avenida Francia, running from south to north, has two lanes, each 3 m wide, and includes a 2 m wide parking lane. In the opposite direction (north to south), Avenida Francia also has two lanes, each 3 m wide, and a 2 m wide parking lane. The sidewalk on the west side of Avenida Francia is 4.8 m wide, while the sidewalk on the east side is 3 m wide. These dimensions are crucial for understanding pedestrian movement and vehicular traffic flow at the intersection, as they influence the capacity, safety, and the potential need for adjustments in signal timing to optimize traffic and pedestrian crossings (see Figure 6). Figure 4: Location of the case study in Valparaiso, Chile. Tables 7 and 8 shows the flow measured at the intersection in the case study. During the morning peak hour (MPH, from 8:00 to 9:00 a.m.), a large number of private vehicles can be observed, with similar quantities traveling in both directions on Avenida Errazuriz. At the afternoon peak hour (APH, from 5:00 to 6:00 p.m.), a significant difference in the number of cars traveling eastward on Avenida Errazuriz can be observed, with a difference of 1268 private vehicles compared to those traveling westward. As observed in Table 9, during the morning peak hours there is a noticeable pattern where pedestrians frequently cross the intersection diagonally. This behavior is driven by the perception of safety among pedestrians, as many others are seen doing the same. The social influence of seeing others cross in this manner encourages more pedestrians to follow suit, creating a self-reinforcing cycle. This happens consistently during every weekday, particularly in the busy morning hours when the flow of pedestrians is highest. However, this form of crossing, although seemingly harmless to pedestrians, poses significant risks.