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Spatial linear network Voronoi analysis to quantify accessibility of police stations in South Africa

Mini Dissertation (MSc (Advanced Data Analytics))--University of Pretoria, 2024.

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Other Authors: Fabris-Rotelli, Inger Nicolette
Format: Thesis
Language:English
Published: University of Pretoria 2025
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access_status_str Open Access
author2 Fabris-Rotelli, Inger Nicolette
author_browse Fabris-Rotelli, Inger Nicolette
author_facet Fabris-Rotelli, Inger Nicolette
collection Thesis
dc_rights_str_mv © 2023 University of Pretoria. All rights reserved. The copyright in this work vests in the University of Pretoria. No part of this work may be reproduced or transmitted in any form or by any means, without the prior written permission of the University of Pretoria.
description Mini Dissertation (MSc (Advanced Data Analytics))--University of Pretoria, 2024.
format Thesis
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institution University of Pretoria (South Africa)
language English
last_indexed 2026-06-10T12:37:11.932Z
license_str Other — see source repository
provenance_str_mv Harvested via OAI-PMH from UPSpace — University of Pretoria Institutional Repository
publishDate 2025
publishDateRange 2025
publishDateSort 2025
publisher University of Pretoria
publisherStr University of Pretoria
record_format dspace
source_str UPSpace — University of Pretoria Institutional Repository
spelling oai:repository.up.ac.za:2263/100629 Spatial linear network Voronoi analysis to quantify accessibility of police stations in South Africa Fabris-Rotelli, Inger Nicolette a.antonio@tuks.co.za Stander, Rene Thiede, Renate Antonio, Arthur UCTD Sustainable Development Goals (SDGs) Police precinct boundaries Voronoi diagrams Accessibility Crime rates Spatial similarity Mini Dissertation (MSc (Advanced Data Analytics))--University of Pretoria, 2024. This study quantifies the overlap between existing police precinct boundaries and theoretically optimal boundaries derived from Voronoi diagrams based on Euclidean and network distances. Spatial similarity measures are used to analyse the relationship between boundary overlap and police station accessibility, hypothesising that reduced overlap corresponds to decreased accessibility. Accessibility, in this mini-dissertation, refers to how easily an individual can reach a police station, with closer points being more accessible. The analysis extends to the potential effects of boundary placement on crime rates, suggesting that greater inaccessibility of police stations may correlate with less crimes reported in that precinct. By quantifying these relationships, this research evaluates the effectiveness of current precinct boundaries and their potential influence on crimes reported. For precincts with low similarity values, indicating low accessibility, we analyse the proportional change in the number of crimes reported after boundary modifications. A decrease in reported crimes within the new boundaries generated by Voronoi models would support our hypothesis. This decrease would suggest that a significant portion of crimes are now being reported to other, nearer, and more accessible police stations. Statistics MSc (Advanced Data Analytics) Unrestricted Faculty of Natural and Agricultural Sciences SDG-09: Industry, innovation and infrastructure SDG-10: Reduced inequalities SDG-11: Sustainable cities and communities SDG-16: Peace, justice and strong institutions 2025-02-10T07:40:09Z 2025-02-10T07:40:09Z 2025-04 2024-11 Mini Dissertation * A2025 http://hdl.handle.net/2263/100629 https://doi.org/10.25403/UPresearchdata.28378535 en © 2023 University of Pretoria. All rights reserved. The copyright in this work vests in the University of Pretoria. No part of this work may be reproduced or transmitted in any form or by any means, without the prior written permission of the University of Pretoria. application/pdf University of Pretoria
spellingShingle UCTD
Sustainable Development Goals (SDGs)
Police precinct boundaries
Voronoi diagrams
Accessibility
Crime rates
Spatial similarity
Spatial linear network Voronoi analysis to quantify accessibility of police stations in South Africa
title Spatial linear network Voronoi analysis to quantify accessibility of police stations in South Africa
title_full Spatial linear network Voronoi analysis to quantify accessibility of police stations in South Africa
title_fullStr Spatial linear network Voronoi analysis to quantify accessibility of police stations in South Africa
title_full_unstemmed Spatial linear network Voronoi analysis to quantify accessibility of police stations in South Africa
title_short Spatial linear network Voronoi analysis to quantify accessibility of police stations in South Africa
title_sort spatial linear network voronoi analysis to quantify accessibility of police stations in south africa
topic UCTD
Sustainable Development Goals (SDGs)
Police precinct boundaries
Voronoi diagrams
Accessibility
Crime rates
Spatial similarity
url http://hdl.handle.net/2263/100629
https://doi.org/10.25403/UPresearchdata.28378535