Indian Agricultural Research Institute, Pusa, New Delhi, 110 012, India.
Environ Monit Assess. 2011 May;176(1-4):663-76. doi: 10.1007/s10661-010-1611-4. Epub 2010 Aug 5.
Two non-parametric kriging methods such as indicator kriging and probability kriging were compared and used to estimate the probability of concentrations of Cu, Fe, and Mn higher than a threshold value in groundwater. In indicator kriging, experimental semivariogram values were fitted well in spherical model for Fe and Mn. Exponential model was found to be best for all the metals in probability kriging and for Cu in indicator kriging. The probability maps of all the metals exhibited an increasing risk of pollution over the entire study area. Probability kriging estimator incorporates the information about order relations which the indicator kriging does not, has improved the accuracy of estimating the probability of metal concentrations in groundwater being higher than a threshold value. Evaluation of these two spatial interpolation methods through mean error (ME), mean square error (MSE), kriged reduced mean error (KRME), and kriged reduced mean square error (KRMSE) showed 3.52% better performance of probability kriging over indicator kriging. The combined result of these two kriging method indicated that on an average 26.34%, 65.36%, and 99.55% area for Cu, Fe, and Mn, respectively, are coming under the risk zone with probability of exceedance from a cutoff value is 0.6 or more. The groundwater quality map pictorially represents groundwater zones as "desirable" or "undesirable" for drinking. Thus the geostatistical approach is very much helpful for the planners and decision makers to devise policy guidelines for efficient management of the groundwater resources so as to enhance groundwater recharge and minimize the pollution level.
两种非参数克里金方法,如指示克里金和概率克里金,被进行了比较,并被用于估计地下水铜、铁和锰浓度超过阈值的概率。在指示克里金中,实验半变异函数值很好地拟合了铁和锰的球形模型。对于所有金属,指数模型被发现是概率克里金中最好的模型,而对于指示克里金中的铜,也是最好的模型。所有金属的概率图都显示了整个研究区域内污染风险的增加。概率克里金估计器包含了指示克里金不包含的顺序关系信息,从而提高了估计地下水金属浓度超过阈值的概率的准确性。通过平均误差(ME)、均方误差(MSE)、克里金降低平均误差(KRME)和克里金降低均方误差(KRMSE)对这两种空间插值方法进行评估的结果表明,概率克里金比指示克里金的性能要好 3.52%。这两种克里金方法的综合结果表明,在平均情况下,铜、铁和锰的风险区分别占 26.34%、65.36%和 99.55%,超过 0.6 的概率超过了截止值。地下水质量图形象地表示了地下水的“适宜”或“不适宜”饮用区域。因此,地质统计学方法对规划者和决策者非常有帮助,可以为地下水资源的有效管理制定政策指南,以提高地下水补给量并最大限度地降低污染水平。