Method of Evaluation by Order Theory (METEOR) applied on the Topic of Water Contamination with Pharmaceuticals

K. Voigt 1 and R. Brüggemann 2 
1 GSF - National Research Center for Environment and Health, Institute of Biomathematics and Biometry, 85764 Neuherberg, Germany,
2 Leibniz-Institute of Freshwater Ecology and Inland Fisheries, 12587 Berlin, Germany, (

A growing concern to be tackled today is the potential contamination of water resources by chemicals - including pharmaceuticals entering food chains and causing adverse effects in animals and humans. In this paper 75 publications from the years 2000-2004 are analysed concerning their information on 12 chosen pharmaceuticals. These pharmaceuticals are recognised as potential pollutants to the media water and soil. A 12x75 data-matrix is the basis for a mathematical evaluation (ranking) approach using the Method of Evaluation by Order Theory (METEOR).  The original data-matrix of 12 objects and 75 attributes is subject to several logical aggregation steps applying the Hasse Diagram Technique. It can be demonstrated that the aggregation to get three super indicators concerning different kinds of journals leads to a highly structured diagram with more comparabilities than incomparabilities. The aggregation steps with different weights, normalisation to 1 lead to linear order diagrams. These diagrams all show that the following ranking of the objects EES>IBU>BEZ>ROX>MET>FEN is given in all the linear order diagrams. All partial order diagrams and linear order diagrams demonstrate that the pharmaceutical EES: Estinyl Estradiol is always in a maximal position whereas FEN: Fenofibrate is always a minimal object.

Keywords: Partial order theory, Method of Evaluation  by Order Theory (METEOR), Hasse Diagram Technique, water pollution, drinking water, groundwater, pharmaceuticals

In: McRoberts, R. et al. (eds).  Proceedings of the joint meeting of The 6th International Symposium On Spatial Accuracy Assessment In Natural Resources and Environmental Sciences and The 15th Annual Conference of The International Environmetrics Society, June 28 – July 1 2004, Portland, Maine, USA.

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