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Regression Kriging versus Geographically Weighted Regression for Spatial Interpolation


 
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1. Title Title of document Regression Kriging versus Geographically Weighted Regression for Spatial Interpolation
 
2. Creator Author's name, affiliation, country Qingmin Meng; Department of Geosciences, Mississippi State University, MS; United States
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) Regression Kriging; Geographically Weighted Regression; Local-Spatial Prediction; Spatial Dependence; Spatial Non-Stationarity
 
4. Description Abstract

If spatial dependence and/or spatial heterogeneity are taken into account in the process of spatial interpolation, the prediction process can be named local-spatial prediction. Geographically weighted regression is a type of local-spatial prediction models since methodologically it incorporates spatial heterogeneity into a regression model. From the standpoint of spatial interpolation, regression kriging is presented as another local-spatial prediction model that incorporates local-spatial dependence, association between response and auxiliary variables, and the unbiased estimation with minimized variance into an interpolation process. The methodologies of regression kriging and geographically weighted regression are summarized to indicate how local-spatial correlation, spatial heterogeneity, and non-spatial correlation and are incorporated into interpolation process. This paper points out regression kriging applies the local variation of spatial dependence to regression parameter estimation and combines the estimated regression model with residual kriging considering spatial autocorrelation in residuals as a hybrid local-spatial interpolator. Using a raster data with two types of sampling approaches, this study examines and compares the performance of regression kriging and geographically weighted regression. The empirical examples indicate that both regression kriging and geographically weighted regression are powerful local-spatial prediction models, but regression kriging can be better in capturing the spatial structure of the original data.

 
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6. Contributor Sponsor(s)
 
7. Date (YYYY-MM-DD) 2014-07-08
 
8. Type Status & genre Peer-reviewed Article
 
8. Type Type
 
9. Format File format PDF
 
10. Identifier Uniform Resource Identifier http://technical.cloud-journals.com/index.php/IJARSG/article/view/Tech-265
11. Source Journal/conference title; vol., no. (year) International Journal of Advanced Remote Sensing and GIS; Volume 3 (Year 2014)
 
12. Language English=en en
 
14. Coverage Geo-spatial location, chronological period, research sample (gender, age, etc.)
 
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