Please use this identifier to cite or link to this item:
https://hdl.handle.net/2440/140094
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Type: | Journal article |
Title: | The Many Forms of Co-kriging: A Diversity of Multivariate Spatial Estimators |
Author: | Dowd, P.A. Pardo-Igúzquiza, E. |
Citation: | Mathematical Geosciences, 2024; 56(2):387-413 |
Publisher: | Springer |
Issue Date: | 2024 |
ISSN: | 1874-8961 1874-8953 |
Statement of Responsibility: | Peter A. Dowd, Eulogio Pardo-Igúzquiza |
Abstract: | In this expository review paper, we show that co-kriging, a widely used geostatistical multivariate optimal linear estimator, has a diverse range of extensions that we have collected and illustrated to show the potential of this spatial interpolator. In the context of spatial stochastic processes, this paper covers scenarios including increasing the spatial resolution of a spatial variable (downscaling), solving inverse problems, estimating directional derivatives, and spatial interpolation taking boundary conditions into account. All these spatial interpolators are optimal linear estimators in the sense of being unbiased and minimising the variance of the estimation error. |
Keywords: | Co-kriging; Upscaling; Downscaling; Spatial interpolators; Inverse problems; Estimating directional derivatives; Spatial boundary conditions |
Description: | Published online: 12 October 2023 |
Rights: | © The Author(s) 2023. This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/ by/4.0/. |
DOI: | 10.1007/s11004-023-10104-7 |
Grant ID: | ARC |
Published version: | http://dx.doi.org/10.1007/s11004-023-10104-7 |
Appears in Collections: | Chemical Engineering publications |
Files in This Item:
File | Description | Size | Format | |
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hdl_140094.pdf | Published version | 1.93 MB | Adobe PDF | View/Open |
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