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Spatial interpolation of soil organic matter using regression Kriging and geographically weighted regression Kriging.

YANG Shun-hua1, ZHANG Hai-tao1, GUO Long2, REN Yan1   

  1. (1College of Resource and Environment, Huazhong Agricultural University, Wuhan 430070, China; 2School of Resource and Environmental Sciences, Wuhan University, Wuhan 430070, China)
  • Online:2015-06-18 Published:2015-06-18

Abstract: Relative elevation and stream power index were selected as auxiliary variables based on correlation analysis for mapping soil organic matter. Geographically weighted regression Kriging (GWRK) and regression Kriging (RK) were used for spatial interpolation of soil organic matter and compared with ordinary Kriging (OK), which acts as a control. The results indicated that soil organic matter was significantly positively correlated with relative elevation whilst it had a significantly negative correlation with stream power index. Semivariance analysis showed that both soil organic matter content and its residuals (including ordinary least square regression residual and GWR residual) had strong spatial autocorrelation. Interpolation accuracies by different methods were estimated based on a data set of 98 validation samples. Results showed that the mean error (ME), mean absolute error (MAE) and root mean square error (RMSE) of RK were respectively 39.2%, 17.7% and 20.6% lower than the corresponding values of OK, with a relative improvement (RI) of 20.63. GWRK showed a similar tendency, having its ME, MAE and RMSE to be respectively 60.6%, 23.7% and 27.6% lower than those of OK, with a RI of 59.79. Therefore, both RK and GWRK significantly improved the accuracy of OK interpolation of soil organic matter due to their incorporation of auxiliary variables. In addition, GWRK performed obviously better than RK did in this study, and its improved performance  should be attributed to the consideration of sample spatial locations.