Method for assessing quality of the variogram

H.J. Glass

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Method for assessing quality of the variogram

机译：评估方差图质量的方法

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Collection, preparation, and analysis of blasthole chippings is expensive. Frequently, interpolation of grades at unsampled locations is considered using techniques like kriging. A pre-requisite for kriging is that an experimental variogram is established. In order to assess the quality of the experimental variogram, a measure is developed in this paper. The measure is derived from analysis of the time-honoured expression relating the variance, semivariance, and covariance. It reflects the weighted average deviation of the summed semivariance and covariance from the biased variance. The proposed measure allows assessment of the influence of key variables on the quality of the variogram. Using simulated data, it follows that the quality improves with an increasing number of samples, increasing density of the sampled locations, increasing regularity of the sampling pattern, and increasing uniformity of grades in the absence of correlation. Application to real data shows that the minimum number of samples could coincide whit a market decrease in the value of the measure. Establishing a threshold value is subject to further research.

机译：爆破碎片的收集，准备和分析非常昂贵。通常，使用诸如克里金法的技术来考虑在未采样位置进行等级插值。克里金法的先决条件是建立实验变异函数。为了评估实验方差图的质量，本文提出了一种措施。该度量是从对与方差，半方差和协方差相关的经过时间表达的表达式的分析中得出的。它反映了半方差和协方差之和与偏差方差的加权平均偏差。拟议的措施允许评估关键变量对变异函数图质量的影响。使用模拟数据，可以得出结论，随着样本数量的增加，采样位置密度的增加，采样模式的规则性的提高以及等级之间的一致性的提高，质量得到了提高。对真实数据的应用表明，在市场价值下降的同时，最小数量的样本可能会同时发生。建立阈值有待进一步研究。

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《Journal Of The South African Institute Of Mining & Metallurgy》 |2003年第1期|共9页
作者
H.J. Glass;
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正文语种 eng
中图分类矿业工程;
关键词
variogram; variance; covariance; semivariance; minimization; sampling.;

机译：变异函数;方差;协方差;半方差;最小化;抽样;

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Method for assessing quality of the variogram

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