Anyang Institute of Technology, Anyang, Henan Provence, The People's Republic of China.
Harbin Natural Resources Comprehensive Investigation Center of China Geological Survey, Harbin, Heilongjiang Provence, The People's Republic of China.
PLoS One. 2024 Sep 12;19(9):e0309696. doi: 10.1371/journal.pone.0309696. eCollection 2024.
This study proposes a new method to evaluate the effectiveness of orebody grade estimations, drawing upon the analysis of existing evaluation methods for grade estimation. This new approach addresses factors such as uneven sampling and asymmetric estimation range, which are challenging to overcome with existing evaluation techniques. The core principle of this method involves documenting how frequently individual samples are used during grade estimation and calculating the total distance weights for each sample. Subsequently, the usage frequency and total weight of the samples are standardized, and these standardized values are weighted based on the sample grades. A comparison is made between the weighted sample grades and the estimated grades, with the closeness between the two serving as a metric for assessing the effectiveness of the estimation. This study compares the new evaluation method to the direct comparison and cross-validation methods, examining the effectiveness of grade estimation using the inverse distance weighting (IDW) method. The findings revealed that: (1) The new evaluation method theoretically accounts for the systematic deviation between the statistical measures of estimated and sample grades resulting from uneven sample distribution, offering a fresh approach for enhancing the effectiveness of orebody grade estimation. (2) In the grade estimation of experimental Fe samples, the frequency of usage and the sum of distance weights were unequal. This inequality significantly contributes to the systematic deviation between the estimated and sample grades. (3) Comparing the new evaluation method to others confirms the stability and reliability of the new approach for evaluating the effectiveness of orebody grade estimation. This novel method demonstrates theoretical advantages and practical utility. (4) The deviation between the estimated grades and the statistical results of sample grades is influenced by the distribution pattern of sample grades, the spatial relationship between samples and estimation blocks, and the inherent systematic error associated with the IDW method. This systematic error cannot be overlooked.
本研究提出了一种新的方法来评估矿体品位估计的有效性，该方法借鉴了现有的品位估计评估方法的分析。这种新方法解决了现有评估技术难以克服的不均匀采样和不对称估计范围等因素。该方法的核心原则涉及记录在品位估计过程中单个样本的使用频率，并计算每个样本的总距离权重。随后，对样本的使用频率和总权重进行标准化，并根据样本品位对这些标准化值进行加权。比较加权样本品位和估计品位之间的接近程度，两者之间的接近程度作为评估估计有效性的度量。本研究将新的评估方法与直接比较和交叉验证方法进行了比较，检验了使用反距离加权（IDW）方法进行品位估计的有效性。研究结果表明：（1）新的评估方法从理论上考虑了由于不均匀采样分布导致的估计品位和样本品位的统计度量之间的系统偏差，为提高矿体品位估计的有效性提供了一种新的方法。（2）在实验 Fe 样品的品位估计中，使用频率和距离权重之和不相等。这种不平等对估计品位和样本品位之间的系统偏差有显著贡献。（3）将新的评估方法与其他方法进行比较，证实了新方法评估矿体品位估计有效性的稳定性和可靠性。这种新方法具有理论优势和实际应用价值。（4）估计品位与样本品位统计结果之间的偏差受到样本品位分布模式、样本和估计块之间的空间关系以及 IDW 方法固有的系统误差的影响。这个系统误差不容忽视。
