## 3 Methodology
### Evaluation of Accessibility  
Two methods were applied for the evaluation of pedestrian access. The first is a descriptive method, which aims to provide detailed results about the condition of the accesses in each of the areas leading to the selected trolleybus and metro stops. Using this method, a description of the accessibility conditions of the evaluated elements was made, highlighting aspects such as their physical state and compliance with established regulations. The second method used is a numerical one, based on the statistical analysis of the values obtained during the evaluation. Through this method, numerical values were assigned to the different elements proposed for evaluation. These values allowed for the classification of accessibility levels, providing quantitative information about pedestrian access. This numerical approach facilitated the comparison and systematic analysis of the results obtained in the evaluation. The combination of these two methods, descriptive and numerical, allowed for a comprehensive and precise evaluation of the pedestrian access points between the trolleybus public transport system and the EFE in the city of Valparaiso. Through the detailed description of accessibility conditions and the assignment of numerical values, an integrated view of the situation was obtained, identifying areas for improvement to ensure a better experience for users. Finally, the goal is to assess users' opinions comprehensively through a survey. The objective is to gather information on the elements that most affect users when heading to various trolleybus and metro stops, in order to conduct a subjective analysis. The survey collected information on the type of user, age, and frequency of use of this transport system. As a result, a thorough evaluation of the accessibility of the trolleybus and metro stops was conducted, taking into account the study area. In order to measure and quantify accessibility, the implementation of a utility function called the accessibility function (A) was proposed. This function is based on the assignment of weighted values that reflect the condition of key elements, such as sidewalks and pedestrian crossings (see Equation (1)). \[A=\alpha*a+\beta\,*\,b+\gamma\,*\,c+\delta\,*\,d \tag{1}\]  
In the process of evaluating universal accessibility, weighted values are assigned through specific parameters for each accessibility variable. These variables, denoted as a, b, c, and d, represent the elements evaluated in terms of their impact on universal accessibility. On the other hand, the parameters alpha, beta, and gamma are used to assign weights to each variable and reflect their relative importance in universal accessibility. Therefore, Equation (1) is represented as  
\[A=\alpha*\mathit{sidewalk\,width}+\beta\,*\,\mathit{obstacles}+\gamma\,*\, \mathit{sidewalk\,condition}+\delta\,*\,\mathit{urb\,cuts} \tag{2}\]  
To assign values to the variables in this method, the state and conditions of the evaluated elements will be taken into account. The following values are proposed according to the possible situations. 1. Width of the pedestrian sidewalk (in cm): * Level 0: A value of 0 is assigned when the pedestrian sidewalk is less than the minimum width of 90 cm. * Level 1: A value of 1 is assigned when the pedestrian sidewalk width is between 90 cm and 150 cm. * Level 2: A value of 2 is assigned when the pedestrian sidewalk width is greater than 150 cm. 2. Obstacles on the sidewalk (evaluated based on the reduction in the width of the sidewalk): * Level 0: A value of 0 is assigned when there are obstacles along the pedestrian sidewalk below the minimum width of 90 cm. * Level 1: A value of 1 is assigned when there are obstacles, but not below the minimum width of 90 cm at the sidewalk. * Level 2: A value of 2 is assigned when there are no obstacles along the sidewalk. 3.