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Research Article | Open Access

Analyzing patterns of accessibility to schools: A gravitational metrics study in València

Aida Villalba1Luis E. Vila2Jose Miguel Carot1( )
Dept. of Applied Statistics and Operational Research, and Quality, Universitat Politècnica de València, Spain
Dept. of Applied Economics, Universitat de València, Spain
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Abstract

A gravity-based accessibility metric, the Two-Step Floating Catchment Area (2SFCA) enhanced with gaussian smoothing, is proposed to clarify the distribution of opportunities for compulsory education. Along with the physical locations of the homes and schools, the metric considers the population age structure and capacity to measure the population's accessibility to school services. The application of the 2SFCA within the '15-minute city' model and the analysis of València's urban environment revealed two main findings. First, the distribution of the accessibility scores after a spatial autocorrelation analysis closely reflected the per capita income across the city, irrespective of the type of school and level of compulsory education considered. Second, for most school age children, accessing a charter school is easier than access to a public school for primary and secondary education. The 2SFCA metric appears to adequately capture the uneven spatial distribution of educational opportunities, thus offering new insights into some of the forces the drive school segregation processes and their territorial foundations.

CLC number: 62P20, 62P25

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AIMS Mathematics
Pages 809-825

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Cite this article:
Villalba A, Vila LE, Carot JM. Analyzing patterns of accessibility to schools: A gravitational metrics study in València. AIMS Mathematics, 2025, 10(1): 809-825. https://doi.org/10.3934/math.2025038

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Received: 27 June 2024
Revised: 12 September 2024
Accepted: 09 October 2024
Published: 15 January 2025
©2025 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)