摘要
Inferring the experimental variogram used in geostatistics commonly relies on the method-of-moments approach.Ideally,the available data-set used for calculating the experimental variogram should be drawn from a regular pattern.However,in practice the available data-set is typically sampled over a sparse pattern at irregularly spaced locations.Hence,some binning of the variogram cloud is required to obtain fair estimates of the experimental variogram.Grouping of the variogram data pairs as a result of conventional binning depends on parameters such as the main anisotropic directions and a regular definition of the lag vectors.These parameters are not based on the configuration of the variogram data pairs in the variogram cloud but on a segment of it that is arbitrarily predefined.Therefore,the conventional experimental variogram estimation approach is biased because of the strict configuration of the bins over the variogram cloud.In this paper,a new method of estimating experimental variograms is proposed.Lag vectors and their tolerances are decided in the proposed method from information in the variogram cloud:they are not influenced by any predefined directions.The proposed methodology is a well-founded,practicable and easy-to-automate approach for experimental variogram calculation using an irregularly sampled data-set.Comparison of results from the new method to those from the traditional approach is very encouraging.
推断通常在 geostatistics 使用的试验性的 variogram 依靠 method-of-moments 途径。理想地,使用计算试验性的 variogram 的可得到的数据集应该从一个常规模式被拉。然而,在实践,可得到的数据集典型地在一个稀少的模式上被取样在不规则地 spaced 地点。因此, variogram 云的某 binning 被要求获得试验性的 variogram 的公平估计。由于常规 binning variogram 数据对组织取决于象主要各向异性的方向和 lag 向量的一个常规定义那样的参数。这些参数不基于在 variogram 云,但是在任意地被预先规定的它的一个片断上的 variogram 数据对的配置。因此,因为箱的严格的配置,常规试验性的 variogram 评价途径在 variogram 云上被偏导。在这份报纸,估计试验性的 variograms 的一个新方法被建议。落后向量和他们的忍耐在 variogram 云从信息在建议方法被决定:他们没被任何预定义的方向影响。建议方法论是一有根据,适用并且为用不规则地取样的数据集的试验性的 variogram 计算的 easy-to-automate 途径。从传统的途径的到那些的从新方法的结果的比较是很令人鼓舞的。