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Order theoretical tools for the evaluation of complex regional pollution patterns.
Rainer Brüggemann1, Gerhard Welzl, Kristina Voigt
1Department of Ecohydrology, Leibniz-Institute of Freshwater Ecology and Inland Fisheries, Müggelseedamm 310, 12587 Berlin, Germany. brg@igb-belin.de
Summary
Mathematical and statistical methods enhance environmental chemistry data interpretation. Hasse diagram technique and POSAC identified key pollution indicators, including lead in earthworms (LRPB) as a sensitive bioindicator.
Area of Science:
- Environmental Chemistry
- Ecotoxicology
- Data Science
Background:
- Environmental data analysis is crucial for complex datasets in environmental chemistry.
- Multivariate data requires sophisticated mathematical and statistical methods for accurate interpretation.
- Assessing regional pollution involves analyzing multiple chemical contaminants simultaneously.
Purpose of the Study:
- To apply advanced mathematical and statistical techniques for evaluating complex environmental pollution data.
- To compare the efficacy of Hasse diagram technique and Partially Ordered Scalogram Analysis with Coordinates (POSAC) in analyzing pollution data.
- To identify significant pollution indicators and highly impacted regions from a dataset of 58 regions in Baden-Württemberg.
Main Methods:
- Dichotomized data matrix analysis of 58 regions and 13 variables (metals: lead, cadmium, zinc; sulfur).
- Application of Hasse diagram technique, a multicriteria evaluation method rooted in Discrete Mathematics.
- Utilizing Partially Ordered Scalogram Analysis with Coordinates (POSAC) for data matrix reduction and visualization.
Main Results:
- Both Hasse diagram technique and POSAC effectively identified priority objects, such as highly and lowly polluted regions.
- Lead in Lumbricus Rubellus (LRPB) emerged as a significant and sensitive bioindicator, aligning with ecotoxicological literature.
- Sulfur in Tree Layer (TLS) presented interpretational challenges, necessitating further investigation.
Conclusions:
- Multicriteria evaluation methods like Hasse diagram technique and POSAC are valuable tools for analyzing complex environmental pollution data.
- Lumbricus Rubellus serves as a reliable bioindicator for lead pollution, offering practical insights into environmental contamination.
- Further research is required to elucidate the role and interpretation of sulfur levels in tree layers within pollution assessments.