王舒, 严登华, 秦天玲, 刘汝海. 基于PER-Kriging插值方法的降水空间展布[J]. 水科学进展, 2011, 22(6): 756-763.
引用本文: 王舒, 严登华, 秦天玲, 刘汝海. 基于PER-Kriging插值方法的降水空间展布[J]. 水科学进展, 2011, 22(6): 756-763.
WANG Shu, YAN Deng-hua, QIN Tian-ling, LIU Ru-hai. Spatial interpolation of precipitation using the PER-Kriging method[J]. Advances in Water Science, 2011, 22(6): 756-763.
Citation: WANG Shu, YAN Deng-hua, QIN Tian-ling, LIU Ru-hai. Spatial interpolation of precipitation using the PER-Kriging method[J]. Advances in Water Science, 2011, 22(6): 756-763.

基于PER-Kriging插值方法的降水空间展布

Spatial interpolation of precipitation using the PER-Kriging method

  • 摘要: 将PRISM插值对高程因素的计算方法引入普通Kriging插值中,提出了综合考虑观测点与插值点的位置、距离和高程关系的PER-Kriging插值方法。通过引入计算参考平面并进行数学变换,使该方法具有较好的可操作性。在对高程~降水量采用线性拟合的基础上,加入非线性拟合,进一步提高PER-Kriging插值的表达能力。在澜沧江流域分别采用PER-Kriging和普通Kriging方法进行降水插值对比,结果表明:前者能有效地消除观测点与周围区域地形差异太大造成的插值异常,并且能较好地消除插值运算的平滑效应,平均误差比后者减少了20 mm以上;不同曲线拟合插值的相对误差均小于12%。

     

    Abstract: Based on the parameter-elevation regressions on independent slopes model (PRISM),a PER-Kriging in-terpolation method is developed to consider the effect of elevations on precipitation interpolation.The method can comprehensively consider the complex relationships between grid points and observational sites in locations,horizontal distances and elevations.The method uses a reference elevation in precipitation interpolation in order to practise easily. The performance of the method is enhanced through nonlinear refitting of the elevation-precipitation relationship obtained by linear fitting scheme.Both PER-Kriging and Ordinary Kriging methods are tested on the Lancangjiang basin for precipitation interpolation and results are compared with each other.The result shows that PER-Kriging can effectively eliminate the errors introduced by the large geographic differences and the smoothing processes.Compared to Ordinary Krijing,the PER-Kriging method can reduce the mean error of interpolated precipitation by 20 mm,and the relative errors in different types of curve fitting are less than 12%.

     

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