Spatio-Temporal Dual Kriging with Adaptive Coefficient Drift Function

Chalida Kongsanun, Nawinda Chutsagulprom and Sompop Moonchai ()
Additional contact information
Chalida Kongsanun: Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand
Nawinda Chutsagulprom: Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand
Sompop Moonchai: Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand

Mathematics, 2024, vol. 12, issue 3, 1-21

Abstract: 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.

Keywords: geostatistics; spatio-temporal interpolation; spatio-temporal dual kriging; spatio-temporal kriging with external drift; spatio-temporal regression kriging; drift function; adaptive coefficient (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/12/3/400/pdf (application/pdf)
https://www.mdpi.com/2227-7390/12/3/400/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:12:y:2024:i:3:p:400-:d:1326896

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().