The estimation of individual values (marks) in a finite population of units (e.g., trees) scattered onto a survey region is considered under 3P sampling. For each unit, the mark is estimated by means of an inverse distance weighting interpolator. Conditions ensuring the design-based consistency of maps are considered under 3P sampling. A computationally simple mean squared error estimator is adopted. Because 3P sampling involves the prediction of marks for each unit in the population, prediction errors rather than marks can be interpolated. Then, marks are estimated by the predictions plus the interpolated errors. If predictions are good, prediction errors are more smoothed than raw marks so that the procedure is likely to better meet consistency requirements. The purpose of this paper is to provide theoretical and empirical evidence on the effectiveness of the interpolation based on prediction errors to prove that the proposed strategy is a tool of general validity for mapping forest stands.

中文翻译：

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基于设计的 3P 采样树属性映射

在 3P 抽样下考虑对散布在调查区域上的有限单位（例如树木）中的个体值（标记）的估计。对于每个单元，标记是通过反距离加权插值器估计的。在 3P 采样下考虑了确保基于设计的地图一致性的条件。采用了计算简单的均方误差估计器。由于 3P 抽样涉及对总体中每个单元的标记的预测，因此可以插入预测误差而不是标记。然后，通过预测加上内插误差来估计标记。如果预测良好，则预测错误比原始标记更平滑，因此该过程可能更好地满足一致性要求。