Accuracy of Count Data Estimated by the Point‐in‐Polygon Method
Accuracy of Count Data Estimated by the Point‐in‐Polygon Method
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DOI：
10.1111/j.1538-4632.2000.tb00416.x
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发表时间：
2010-09
影响因子：
3.6
通讯作者：
Y. Sadahiro
中科院分区：
文献类型：
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作者：
Y. Sadahiro
分析了多边形内点法估计计数数据的准确性。提出了基于点和目标区域的随机分布的多边形内点插值模型，以表示各种情况。对估计的准确性与目标区域的大小和点的分布的关系进行了数值研究，并讨论了代表点的最佳位置。本文的主要发现如下：（1）虽然估计的相对精度通常随着目标区域的大小单调增加，但这种单调性常常受到源区域空间配置和点分布的周期性的干扰； (2)当点集中在源区代表点周围小于12%~15%的面积时，多边形内点插值法和面积加权插值法具有相同的估计精度； (3)多边形内点法对于点与代表点之间的位置差距的鲁棒性较差； (4)代表点的最优位置由点的空间中值给出。
This paper analyzes the accuracy of count data estimated by the point-in-polygon method. A point-in-polygon interpolation model is proposed, based on a stochastic distribution of points and the target zone, in order to represent a variety of situations. The accuracy of estimates is numerically investigated in relation to the size of the target zone and the distribution of points, and the optimal location of representative points is discussed. The major findings of this paper are as follows: (1) though the relative accuracy of estimates generally increases monotonously with the size of the target zone, the monotoneity is often disturbed by the periodicity in the spatial configuration of source zones and the point distribution; (2) the point-in-polygon and the areal weighting interpolation methods have the same accuracy of estimates when points are concentrated in less than 12–15 percent area around the representative point in source zones; (3) the point-in-polygon method is not so robust against the locational gap between points and the representative point; (4) the optimal location of representative points is given by the spatial median of points.