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地理信息系统中不同空间插值方法的比较研究
引用本文:修思玉,吕泓辰,康世伦,周晓晴,吕名昊,王维芳.地理信息系统中不同空间插值方法的比较研究[J].森林工程,2014,30(5):110-113.
作者姓名:修思玉  吕泓辰  康世伦  周晓晴  吕名昊  王维芳
作者单位:东北林业大学林学院,哈尔滨,150040
基金项目:黑龙江省普通高等学校重点实验室开放课题
摘    要:对黑龙江省2010年32个气象站点的年降雨量数据分别利用距离倒数插值、样条插值和克里格插值等方法进行插值,得到不同方法下黑龙江省范围内的降雨量空间分布数据。对不同方法得到的插值结果进行对比分析,采用平均误差、平均绝对误差、平均相对误差、平均绝对相对误差、系统误差等指标进行优度检验,比较各个插值方法的优劣性。结果表明,样条插值所得到降雨量的最大值与最小值与原始降雨量数据最为接近,反距离插值所得到的降雨量的最大值与最小值与原始降雨量数据相差最大。各种插值结果没有显著的差异,样条插值相对于其他两种插值方法误差较小,并且简单易行。

关 键 词:距离倒数插值  样条插值  克里格插值  降雨量

Comparative Study on Different Spatial Interpolation Methods in GIS
Xiu Siyu,Lv Hongchen,Kang Shilun,Zhou Xiaoqing,Lv Minghao,Wang Weifang.Comparative Study on Different Spatial Interpolation Methods in GIS[J].Forest Engineering,2014,30(5):110-113.
Authors:Xiu Siyu  Lv Hongchen  Kang Shilun  Zhou Xiaoqing  Lv Minghao  Wang Weifang
Institution:(School of Forestry, Northeast Forestry University, Harbin 150040)
Abstract:In this paper,the annual rainfall data of 32 meteorological sites of the Heilongjiang province in 2010 were interpolated by using different methods such as inverse distance interpolation,spline interpolation,and Kriging interpolation method,and the spatial distribution of rainfall was obtained. The interpolation results by different methods were compared in terms of the average error,mean absolute error,mean relative error,mean absolute relative error,and systematic error. The advantages and disadvantages of these interpolation methods were obtained. The results showed that the maximum and minimum values of rainfall obtained by the spline interpolation method were the closest to the original rainfall data; however the differences of the rainfall's maximum and minimum values to the original values by the inverse distance interpolation were the biggest in the rainfall data. There were no significant differences among various interpolation results. Compared with other two methods of interpolation,the error of the spline interpolation was smaller,easy,and feasible.
Keywords:inverse distance interpolation  spline interpolation  Kriging interpolation  precipitation
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