Aggregation-cokriging for highly multivariate spatial data

Type
Article

Authors
Furrer, R.
Genton, M. G.

Online Publication Date
2011-08-26

Print Publication Date
2011-09-01

Date
2011-08-26

Abstract
Best linear unbiased prediction of spatially correlated multivariate random processes, often called cokriging in geostatistics, requires the solution of a large linear system based on the covariance and cross-covariance matrix of the observations. For many problems of practical interest, it is impossible to solve the linear system with direct methods. We propose an efficient linear unbiased predictor based on a linear aggregation of the covariables. The primary variable together with this single meta-covariable is used to perform cokriging. We discuss the optimality of the approach under different covariance structures, and use it to create reanalysis type high-resolution historical temperature fields. © 2011 Biometrika Trust.

Citation
Furrer R, Genton MG (2011) Aggregation-cokriging for highly multivariate spatial data. Biometrika 98: 615–631. Available: http://dx.doi.org/10.1093/biomet/asr029.

Acknowledgements
This research was sponsored by the National Science Foundation, U.S.A., and by an awardmade by the King Abdullah University of Science and Technology. We acknowledge the internationalmodelling groups for providing their data for analysis. We also thank the editor, theassociate editor and two referees for comments that led to a substantial improvement of the paper.

Publisher
Oxford University Press (OUP)

Journal
Biometrika

DOI
10.1093/biomet/asr029

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