Buchanan S, Triantafilis J
School of Biological, Earth and Environmental Sciences, University of New South Wales, NSW 2052 Australia.
Ground Water. 2009 Jan-Feb;47(1):80-96. doi: 10.1111/j.1745-6584.2008.00490.x. Epub 2008 Sep 12.
Despite its importance, accurate representation of the spatial distribution of water table depth remains one of the greatest deficiencies in many hydrological investigations. Historically, both inverse distance weighting (IDW) and ordinary kriging (OK) have been used to interpolate depths. These methods, however, have major limitations: namely they require large numbers of measurements to represent the spatial variability of water table depth and they do not represent the variation between measurement points. We address this issue by assessing the benefits of using stepwise multiple linear regression (MLR) with three different ancillary data sets to predict the water table depth at 100-m intervals. The ancillary data sets used are Electromagnetic (EM34 and EM38), gamma radiometric: potassium (K), uranium (eU), thorium (eTh), total count (TC), and morphometric data. Results show that MLR offers significant precision and accuracy benefits over OK and IDW. Inclusion of the morphometric data set yielded the greatest (16%) improvement in prediction accuracy compared with IDW, followed by the electromagnetic data set (5%). Use of the gamma radiometric data set showed no improvement. The greatest improvement, however, resulted when all data sets were combined (37% increase in prediction accuracy over IDW). Significantly, however, the use of MLR also allows for prediction in variations in water table depth between measurement points, which is crucial for land management.
尽管地下水位深度空间分布的准确表示很重要,但它仍是许多水文调查中最大的不足之一。从历史上看,反距离加权法(IDW)和普通克里金法(OK)都被用于插值深度。然而,这些方法有主要局限性:即它们需要大量测量值来表示地下水位深度的空间变异性,而且它们不能表示测量点之间的变化。我们通过评估使用逐步多元线性回归(MLR)结合三个不同辅助数据集以100米间隔预测地下水位深度的益处来解决这个问题。所使用的辅助数据集包括电磁(EM34和EM38)、伽马辐射测量数据:钾(K)、铀(eU)、钍(eTh)、总计数(TC)以及地形数据。结果表明,与OK和IDW相比,MLR具有显著的精度和准确性优势。与IDW相比,纳入地形数据集使预测准确性提高幅度最大(16%),其次是电磁数据集(5%)。使用伽马辐射测量数据集未显示出改善。然而,当所有数据集组合使用时,改善最为显著(预测准确性比IDW提高37%)。然而,重要的是,使用MLR还能预测测量点之间地下水位深度的变化,这对土地管理至关重要。