The access to the city's rail transport network using the Gini Index and Curve Lorenz in horizon 1405

One of the most important modes of public transport is the metro transport network, which has a significant impact on reducing traffic and air pollution. On the other hand, due to the exorbitant costs of setting up the metro network, step-by-step development with the operation of one line and the implementation of other lines is of interest by urban managers. Therefore, the aim of this study is to investigate the extent of access to Isfahan metro network in the horizon of 1410 with the spatial equity approach from both horizontal and vertical aspects in 5 social classes using Gini coefficient indicators, Lorenz curve, service (supply) level index of public transportation and access. What distinguishes this research from the other similar studies is the investigation of access to the network of each metro line and finally all the lines and the estimation of population growth up to the horizon of 1410, which plays a significant role in the decisions of urban planners to develop other modes of urban transportation. The results of this study showed that Gini coefficients in access to the metro network in Isfahan in the study of horizontal equity are higher than the vertical equity, which shows a great injustice in the distribution of access of sensitive and needy groups to the metro network. So that the Gini coefficient in citizen's access to all lines in horizontal equity is 0.42 and in vertical equity in 5 classes including people over 60 years, under 15 years, without private cars, immigrants and households with an area of less than 50 square meters are 0.45, 0.49, 0.5, 0.54 and 0.6, respectively.