Kriging with Categorical External Drift: Use of Thematic Maps in Spatial Prediction and Application to Local Climate Interpolation for Agriculture
Kriging with Categorical External Drift: Use of Thematic Maps in Spatial Prediction and Application to Local Climate Interpolation for Agriculture
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具有分类外部漂移的克里金法：专题地图在空间预测中的应用及其在农业当地气候插值中的应用
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发表时间：
1999
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通讯作者：
D. Courault
中科院分区：
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作者：
P. Monestiez;D. Allard;I. Sanchez;D. Courault
当外漂移变量具有分类性质时，重新讨论了带有外漂移的克立格法。当感兴趣的区域被划分到一定数量的空间类中时，例如p，假设空间类是齐次的，并且当这种划分影响要插入的数量变量时，我们提出了一种新的克立格法，该方法在不估计类效应的情况下对类效应进行过滤。根据类别，随机函数Z(X)被分解为确定性未知漂移和剩余随机函数R(X)。克里格方程是使用残差随机函数的变异函数模型导出的，该模型通过所有类内采样点对进行估计。无偏条件在权重(与类一样多)上添加p个条件来代替通常的单位和权重。给出了它在气候学中的一个应用。其目的是对法国东南部小规模农业地区的日最高气温进行内插，使用感兴趣点周围的土地利用定义的环境类别，并通过高分辨率卫星成像确定各地的环境类别。并与普通克立格法进行了比较。
The method of kriging with external drift is revisited when the external drift variable has a categorical nature. When the domain of interest is partitioned in a certain number, say p, of spatial classes supposed to be homogenous, and when this partition influences the quantitative variable to be interpolated, we propose a new kriging approach which filters the class effects without estimating them. The random function Z(x) is decomposed into a deterministic unknown drift, depending on the classes, and a residual random function R(x). Kriging equations are derived using a variogram model of the residual random function, estimated through all intra-class pairs of sample points. The unbiasedness condition adds p conditions on the weights (as many as classes) in place of the usual unit sum weights. An application in climatology is presented. The purpose is to interpolate daily maximum temperatures at a small agricultural scale in SE of France, using environmental classes defined by land use around the point of interest and determined everywhere from high resolution satellite imaging. Comparison with ordinary kriging is performed.