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Spatial Interpolation of Surface Air Temperature by Kriging Models

LI Jing-si;PAN Run-qiu;FAN Fu-lin;School of Resource and Environmental Sciences,Wuhan University;Department of Electronic and Electrical Engineering,University of Strathclyde;  
This paper aims to describe spatial interpolation methods to estimate surface air temperatures(SATs).The SAT at a particular location where SAT observations are not available is estimated through a Kriging interpolation between SAT measurements from 192 meteorological sites at which daily SAT observations have been obtained.A temporal de-trending method based on a Fourier series is used to model and remove the annual trend in original data in order to ensure the stationarity of de-trended data from which Kriging parameters are determined.Furthermore,a spatial or surface de-trending in terms of geographic coordinates including altitude,latitude and longitude of each location is adopted in a Kriging model.Besides a Kriging model,an inverse distance weighting(IDW)interpolation method is tested as a comparison.The accuracies of both spatial interpolation approaches are assessed by calculating and comparing their mean absolute error(MAE)and root mean square error(RMSE)when taking each meteorological site as the target location in a cross-validation procedure.The results show that the Kriging model performs better than the IDW method at 174 sites.In addition,the temporal and spatial de-trending methods make the main contribution to the accurate capture of spatial correlations in the study area in a Kriging process.
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