A generalization of inverse distance weighting method via kernel regression and its application to surface modeling
文献类型：SCI/SSCI论文
| 作者 | Chen C. F.; Zhao, N.; Yue, T. X.; Guo, J. Y. |
| 发表日期 | 2015 |
| 关键词 | IDW Interpolation Surface modeling DEM Rainfall spatial interpolation precipitation algorithm error |
| 英文摘要 | The inverse-distance weighting (IDW) method is considered as one of the most popular deterministic methods and is widely applied to a variety of areas because of its low computational cost and easy implementation. In this paper, we show that the classical IDW is essentially a zeroth-order local kernel regression method with an inverse distance weight function. Thus, it suffers from various shortcomings, such as the boundary bias. Considering the advantages of the local polynomial modeling technique in statistics, the classical IDW was generalized into a higher-order regression by the Taylor expansion and then computed by means of a weighted least-squares method. Surface modeling of rainfall fields in China indicated that the generalized IDWs with the first- and second-orders are more accurate than the classical IDW in terms of root mean square error (RMSE). The example of digital elevation model construction with a group of sample points showed that the two generalized IDWs have better RMSE and mean error than the classical IDW. Furthermore, the second-order IDW has a better performance than the ordinary kriging in terms of RMSE. A theoretical analysis demonstrated that the gradient-plus-inverse distance squared method presented by Nalder and Wein (Agric For Meteorol 92(4): 211-225, 1998) is a first-order form of the generalized IDW expanded on spatial coordinates and elevation. In a word, the generalized IDW can incorporate multiple covariates, which can better explain the interpolation procedure and might improve its accuracy. |
| 出处 | Arabian Journal of Geosciences |
| 卷 | 8 |
| 期 | 9 |
| 页 | 6623-6633 |
| 收录类别 | SCI |
| 语种 | 英语 |
| ISSN号 | 1866-7511 |
| 源URL | [http://ir.igsnrr.ac.cn/handle/311030/38562]  |
| 专题 | 地理科学与资源研究所_历年回溯文献 |
| 推荐引用方式 GB/T 7714 | Chen C. F.,Zhao, N.,Yue, T. X.,et al. A generalization of inverse distance weighting method via kernel regression and its application to surface modeling. 2015. |
入库方式： OAI收割
来源：地理科学与资源研究所
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