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Spatial dependency between a linear network and a point pattern
Dissertation (MSc (Advanced Data Analytics))--University of Pretoria, 2020.
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| Format: | Thesis |
| Language: | English |
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University of Pretoria
2021
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| _version_ | 1867613443907911680 |
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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 | © 2019 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 | Dissertation (MSc (Advanced Data Analytics))--University of Pretoria, 2020. |
| format | Thesis |
| id | oai:repository.up.ac.za:2263/78556 |
| institution | University of Pretoria (South Africa) |
| language | English |
| last_indexed | 2026-06-10T12:36:14.350Z |
| license_str | Other — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from UPSpace — University of Pretoria Institutional Repository |
| publishDate | 2021 |
| publishDateRange | 2021 |
| publishDateSort | 2021 |
| 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:2263/78556 Spatial dependency between a linear network and a point pattern Fabris-Rotelli, Inger Nicolette u15223541@tuks.co.za Kunene, Thembinkosi UCTD Mathematical Statistics Spatial Statistics Dissertation (MSc (Advanced Data Analytics))--University of Pretoria, 2020. In this mini-dissertation we discuss the spatial relationship between point processes and a linear network. As a starting point, we discuss basic spatial point processes and tests for first-order homogeneity. Following that, we discuss second-order properties of point processes in the form of Ripley's K-function for unmarked point patterns and the cross-K function for marked point patterns. We then get to the main focus of this mini-dissertation, that is, the spatial relationship between points and linear structures, particularly linear networks. Recently developed is a method to characterise the spatial relationship between points and linear networks by Comas et al. [13], similar to Ripley's K-function for point-to-point relationships. The non-stationarity of a linear network is of particular interest in how it affects the measurement of this spatial relationship, which has not been explicitly investigated in the literature before. To investigate this we consider the Poisson line process and how one might simulate a non-stationary line process. Furthermore, we discuss a mechanism to extend tests of first-order homogeneity of point patterns to line patterns. The non-stationary line process is used to model linear networks in the simulations conducted to determine the effect of this non-stationarity on the developed method, which was not covered in the original article [13]. The methodology is developed and tested on a real data set. ESRI South Africa Statistics MSc (Advanced Data Analytics) Unrestricted 2021-02-15T08:44:36Z 2021-02-15T08:44:36Z 2021-05-05 2020 Dissertation * A2021 http://hdl.handle.net/2263/78556 en © 2019 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 Mathematical Statistics Spatial Statistics Spatial dependency between a linear network and a point pattern |
| title | Spatial dependency between a linear network and a point pattern |
| title_full | Spatial dependency between a linear network and a point pattern |
| title_fullStr | Spatial dependency between a linear network and a point pattern |
| title_full_unstemmed | Spatial dependency between a linear network and a point pattern |
| title_short | Spatial dependency between a linear network and a point pattern |
| title_sort | spatial dependency between a linear network and a point pattern |
| topic | UCTD Mathematical Statistics Spatial Statistics |
| url | http://hdl.handle.net/2263/78556 |