Fournier M, Motelay-Massei A, Massei N, Aubert M, Bakalowicz M, Dupont J P
UMR CNRS 6143 M2C, University of Rouen, Mont-Saint-Aignan Cedex, France.
Ground Water. 2009 May-Jun;47(3):391-400. doi: 10.1111/j.1745-6584.2008.00532.x. Epub 2008 Dec 30.
Environmental data sets are often multidimensional and consequently display complex structure. This article shows the limitations of principal component analysis (PCA) for the study of such three-dimensional (3D) data sets. These limitations can be resolved by the use of the statistical tool STATIS. The inlet (a swallow hole) and the outlet (a spring) of a karst system of the Western Paris basin were sampled during three rain events of various intensities. These 3D geochemical data sets (variables x sites x dates) for a karst system were analyzed by STATIS method to identify hydrological processes. STATIS proceeds in three steps (interstructure, compromise, and intrastructure), which allows us to focus the analysis of hydrologic systems at different temporal and spatial scales. Compromise plane shows that suspended matter and flood are not simultaneous and highlights a rapid flow, characterized by turbidity and phosphate, which represents a point source contamination, and a ground water flow contaminated by nitrate. Intrastructure plane allows us to compare hydrochemical variations between the swallow hole and the spring lead. By this way, hydrological processes such as direct transfer and resuspension of intrakarstic sediments before and after the flood were identified what cannot be realized by comparison of inlet and outlet breakthrough curves. Finally, results obtained from the same data set by STATIS and a coupled study using PCA and normalized hysteresis curves were compared. This comparison shows the efficiency of STATIS at the identification of transport processes and vulnerability of karst system and its potential for hydrological applications.
环境数据集通常是多维的,因此呈现出复杂的结构。本文展示了主成分分析(PCA)在研究此类三维(3D)数据集时的局限性。这些局限性可以通过使用统计工具STATIS来解决。在巴黎盆地西部一个岩溶系统的进水口(一个落水洞)和出水口(一个泉),在三次不同强度的降雨事件期间进行了采样。通过STATIS方法对该岩溶系统的这些三维地球化学数据集(变量×地点×日期)进行分析,以识别水文过程。STATIS分三个步骤进行(内部结构、折衷和内部结构),这使我们能够在不同的时间和空间尺度上聚焦对水文系统的分析。折衷平面表明悬浮物和洪水并非同时发生,并突出了一种以浊度和磷酸盐为特征的快速水流,它代表点源污染,以及受硝酸盐污染的地下水流。内部结构平面使我们能够比较落水洞和泉之间的水化学变化。通过这种方式,识别出了洪水前后岩溶内部沉积物的直接转移和再悬浮等水文过程,而这是通过比较进水口和出水口的突破曲线无法实现的。最后,比较了通过STATIS从同一数据集获得的结果以及使用PCA和归一化滞后曲线的联合研究结果。这种比较显示了STATIS在识别岩溶系统的输运过程和脆弱性方面的效率及其在水文应用中的潜力。