Abstract
The construction of posets or Hasse diagrams is a profitable means for the evaluation of biomonitoring data. In contrast to other statistical approaches the Hasse Diagram Technique enables the consideration of multiple attributes at the same time and will result in at least partially ordered data sets. Moreover, the calculation of averaged ranks allows the construction of a total order for a given data set. For the evaluation of biomonitoring data, as obtained for the German Environmental Specimen Bank, the Hasse diagram technique was applied to achieve partially or totally ordered data. The following scheme was applied: i) Careful rounding of the original data to increase the number of comparabilities; ii) splitting of the data in smaller sub-sets; iii) construction of the posets for each sub-set; iv) construction of the total order for each sub-set (by means of averaged ranks) and, v) synopsis of the sub-sets.
Access provided by Autonomous University of Puebla. Download to read the full chapter text
Chapter PDF
Similar content being viewed by others
Keywords
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
References
Bond CE (1979) Biology of fishes. Philadelphia, Saunders
Brüggemann R (2001a) Einsatzmöglichkeiten des Konzepts partiell geordneter Mengen für Bewertungen in ökosystemarem Kontext. In. Steinberg CEW, Brüggemann R, Kümmerer K, Ließ M, Pflugmacher S, Zauke GP (Hrsg.). Streß in limnischen Ökosystemen. Neue Ansätze in der ökotoxikologischen Bewertung von Binnengewässern 173–185
Brüggemann R (2001b) Ansätze zur vergleichenden Bewertung unter spezieller Berücksichtigung der Hassediagrammtechnik. In. Neumann-Hensel H, Ahlf W, Wachendörfer V (Hrsg.): Nachweis von Umweltchemikalien. Auswerte-und Interpretationsmethoden für Toxizitätsdaten aus einer ökotoxikologischen Testkombination. Initiativen zum Umweltschutz 29:27–46
Brüggemann R, Sørensen PB, Lerche D, Carlsen L (2004) Estimation of averaged ranks by a local partial order model. J Chem Inf Comput Sci 44:618–625
Brüggemann R, Halfon E (1997) Comparative analysis of nearshore contaminated sites in Lake Ontario: Ranking for environmenatl hazard. J Environ Sci Health A32:277–292
Brüggemann R, Steinberg C (2000) Einsatz der Hassediagrammtechnik zur vergleichenden Bewertung von Analysendaten — am Beispiel von Umweltuntersuchungen in den Regionen Baden-Württembergs. Analytiker Taschenbuch 21:3–33
Brüggemann R, Münzer B, Halfon E (1994) An algebraic/graphical tool to compare ecosystems with respect to their pollution — the German river ‘Elbe’ as an example — 1: Hasse-diagrams. Chemosphere 28:863–872
Brüggemann R, Bücherl C, Pudenz S, Steinberg CEW (1999) Application of the Concept of Partial Order on Comparative Evaluation of Environmental Chemicals. Acta hydrochimica et hydrobiologica 27:170–178
Bücherl C, Brüggemann R, Halfon E (1995) Hasse, Ein Programm zur Analyse von Hasse-Diagrammen, Projektgruppe Umweltgefärdungspotentiale von Chemikalien, ISSN 0721-1694, GSF-Bericht 19/95
Buxbaum F (1958) Cactus Culture: Based on Biology, Blandford Press, London
Carson R (1962) The Silent Spring, Greenwich, Connecticut, 1962
Conquest L (2000) Environmental monitoring: Investigating associations and trends. In: Statistics in Ecotoxicology (Edt. T. Sparks), Chichester, New York
FEA — Federal Environmental Agency (1999) Umweltprobenbank des Bundes-Ausgabe 1999. Ergebnisse aus den Jahren 1996 und 1997, Texte 61/99, Werbung & Vertrieb, Berlin
FEM — Federal Environment Ministry (2000) Environmental Policy: Environmental Specimen Bank. Concept, Federal Environmental Agency, Berlin
Hasse H (1967) Vorlesungen über Klassenkörpertheorie, Universität Marburg. Physica-Verlag
Helm D (2003) Bewertung von Monitoringdaten der Umweltprobenbank des Bundes mit der Hasse-Diagramm-Technik. UWSF 73-Z. Umweltchem Ökotox 15:85–94
Lerche D, Sørensen PB (2003) Evaluation of the ranking prob-abilities for partial orders based on random linear extensions. Chemosphere 53:981–992
Lerche D, Sørensen PB, Brüggemann R (2003) Improved estimation of the ranking probabilities in partial orders using random linear extensions by approximation of the mutual ranking probability. J Chem Inf Comput Sci 43:1471–1480
Luther B, Brüggemann R, Pudenz S (2000) An approach to combine cluster analysis with order theoretical tools in problems of environmental pollution. MATCH 42:119–143
Sørensen PB, Lerche DB, Carlsen L, Brüggemann R (2001) Statistically Approach for Estimating the Total Set of Linear Orders. Pudenz S, Brüggemann R and Lühr HP 14/2001, 87–97. 2001. Berlin, IGB Berlin. Berichte des IGB
Sørensen PB, Vorkamp K, Thomsen M, Falk K, Møller S (2004) Persistent organic Pollutants (POPs) in Greenland environment-Long-term temporal changes and effects on eggs of a bird of prey. National Environmental Research Institute-NERI Technical Report 509 pp 1–126
von Storch H, Costa-Cabral M, Hagner C, Feser F, Pacyna J, Pacyna E, Kolb S (2003) Four decades of gasoline lead emissions and control policies in Europe: A retrospective assessment. The Science of the Total Environment (STOTEN) 311:151–176
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2006 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Helm, D. (2006). Evaluation of Biomonitoring Data. In: Brüggemann, R., Carlsen, L. (eds) Partial Order in Environmental Sciences and Chemistry. Springer, Berlin, Heidelberg . https://doi.org/10.1007/3-540-33970-1_12
Download citation
DOI: https://doi.org/10.1007/3-540-33970-1_12
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-33968-7
Online ISBN: 978-3-540-33970-0
eBook Packages: Earth and Environmental ScienceEarth and Environmental Science (R0)