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Spatio-Temporal Dual Kriging with Adaptive Coefficient Drift Function
Version 1
: Received: 5 January 2024 / Approved: 8 January 2024 / Online: 8 January 2024 (13:44:30 CET)
A peer-reviewed article of this Preprint also exists.
Kongsanun, C.; Chutsagulprom, N.; Moonchai, S. Spatio-Temporal Dual Kriging with Adaptive Coefficient Drift Function. Mathematics 2024, 12, 400. Kongsanun, C.; Chutsagulprom, N.; Moonchai, S. Spatio-Temporal Dual Kriging with Adaptive Coefficient Drift Function. Mathematics 2024, 12, 400.
Abstract
Research on spatio-temporal geostatistical modelling remains a critical challenge in numerous scientific and engineering disciplines. This work introduces a novel extension of the dual kriging the spatio-temporal dual kriging (ST-DK) whose drift functions with fixed and adaptive coefficients are established. The approach appears to be effective in modelling complex spatio-temporal dynamics, particularly when relevant auxiliary variables exert substantial influence on the target variable. To illustrate its performance, we compare the ST-DK model with the classical spatio-temporal regression kriging (ST-RK) method for estimating temperature and air pressure data across Thailand in 2018. Our findings demonstrate that both ST-DK and ST-RK models, when utilizing adaptive coefficients,
outperform their constant coefficient counterparts. Furthermore, the ST-DK method consistently exhibits superior performance compared to the ST-RK model.
Keywords
geostatistics; spatio-temporal interpolation; spatio-temporal dual kriging; spatio-temporal kriging with external drift; spatio-temporal regression kriging; drift function; adaptive coefficient
Subject
Computer Science and Mathematics, Applied Mathematics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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