Abstract: A ranking of selected xenobiotic substances is performed with respect to persistence, spatial range and bio-accumulation potential. This leads to a partial ordering of the chemicals and to the use of Hasse diagrams, a well-established technique to depict partially ordered sets. In order to enhance the practically relevant linear character, the real-valued quantities of each property is replaced by 3 discrete intervals. This results in a more conclusive ranking without recourse to ad-hoc weighing procedures. The study is complemented by an embedding of the partially ordered set of xenobiotics into the corresponding combinatorial event graph. Finally, a new type of linear ordering is presented, with interesting properties for practical applications.
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