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Interpolation in stationary spatial and spatial-temporal datasets

Dissertation (MSc)--University of Pretoria, 2010.

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Other Authors: Boraine, H.
Format: Thesis
Published: University of Pretoria 2013
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access_status_str Open Access
author2 Boraine, H.
author_browse Boraine, H.
author_facet Boraine, H.
collection Thesis
dc_rights_str_mv © 2010, 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)--University of Pretoria, 2010.
format Thesis
id oai:repository.up.ac.za:2263/29090
institution University of Pretoria (South Africa)
last_indexed 2026-06-10T12:38:18.160Z
license_str Other — see source repository
provenance_str_mv Harvested via OAI-PMH from UPSpace — University of Pretoria Institutional Repository
publishDate 2013
publishDateRange 2013
publishDateSort 2013
publisher University of Pretoria
publisherStr University of Pretoria
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source_str UPSpace — University of Pretoria Institutional Repository
spelling oai:repository.up.ac.za:2263/29090 Interpolation in stationary spatial and spatial-temporal datasets Boraine, H. ansie18@yahoo.com Smit, Ansie Spatial Statistical tool Mining sector Spatial-temporal Datasets UCTD Dissertation (MSc)--University of Pretoria, 2010. In the early 1950s the study on how to determine true ore-grade distributions in the mining sector, sparked the development of a series of statistical tools that specifically allows for spatial and subsequently spatial-temporal dependence. These statistics are commonly referred to as geostatistics, and has since been incorporated in several fields of study characterized by this dependence. Basic descriptive statistics and mapping tools for geostatistics are defined and illustrated by means of a simulated dataset. The moments are modelled according to predefined conditions and model structures to describe the spatial and spatial-temporal variance in the data. These variograms and covariance structures are subsequently utilized in the least square procedure, namely kriging. At present, kriging is most commonly used in geostatistics for the interpolation and simulation of spatial or spatial-temporal data. The univariate and multivariate spatial and spatial-temporal kriging techniques are tested on the simulated dataset, to demonstrate how interpolation weights are determined according to the lag distances and underlying variance structure. The strength, weaknesses and inherent complexities of the methodologies are highlighted. Statistics unrestricted 2013-09-07T14:51:47Z 2010-10-27 2013-09-07T14:51:47Z 2010-09-02 2010-10-27 2010-10-27 Dissertation Smit, A 2010, Interpolation in stationary spatial and spatial-temporal datasets, MSc dissertation, University of Pretoria, Pretoria, viewed yymmdd < http://hdl.handle.net/2263/29090 > E10/741/gm http://hdl.handle.net/2263/29090 http://upetd.up.ac.za/thesis/available/etd-10272010-190111/ © 2010, 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 Spatial
Statistical tool
Mining sector
Spatial-temporal
Datasets
UCTD
Interpolation in stationary spatial and spatial-temporal datasets
title Interpolation in stationary spatial and spatial-temporal datasets
title_full Interpolation in stationary spatial and spatial-temporal datasets
title_fullStr Interpolation in stationary spatial and spatial-temporal datasets
title_full_unstemmed Interpolation in stationary spatial and spatial-temporal datasets
title_short Interpolation in stationary spatial and spatial-temporal datasets
title_sort interpolation in stationary spatial and spatial temporal datasets
topic Spatial
Statistical tool
Mining sector
Spatial-temporal
Datasets
UCTD
url http://hdl.handle.net/2263/29090
http://upetd.up.ac.za/thesis/available/etd-10272010-190111/