Spatio-Temporal Dual Kriging with Adaptive Coefficient Drift Function

2024

Mathematics, Vol 12, Iss 3, p 400 (2024)

Research on spatio-temporal geostatistical modeling remains a critical challenge in numerous scientific and engineering disciplines. This paper introduces a novel extension of dual kriging, called spatio-temporal dual kriging (ST-DK), in which drift functions with fixed and adaptive coefficients are established. The approach appears to be effective in modeling 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) and geographically and temporally weighted regression (GTWR) models for estimating temperature and air pressure data from Thailand in 2018. Our findings demonstrate that both the ST-DK and ST-RK models when utilizing adaptive coefficients outperform their fixed coefficient counterparts. Furthermore, the ST-DK method consistently exhibits superior performance compared to the ST-RK and GTWR methods.

article

English

MDPI AG, 2024.

geostatistics, spatio-temporal interpolation, spatio-temporal dual kriging, spatio-temporal kriging with external drift, spatio-temporal regression kriging, drift function, Mathematics, QA1-939