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Environmental data modeling

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Abstract

In the statistical analysis of environmental data, space and time are often disregarded by the use of classical methods such as hydrological analysis of frequencies or factor analysis. But these methods, based on the assumptions of independent identically distributed observations, cannot be efficient. This article discusses more appropriate approaches regarding the space and time influences, and surveys some important proposals of modeling environmental data. Three examples show the workability of the presented theory. Within the first example, a system to detect abnormal occurrences in water quality as early as possible depending in quasi-continuous data is developed. A second example decomposes a water quality time series into three unobservable components. Finally, it is shown how the factor model can be extended to time series data.

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References

  1. M.B. Beck, Water quality modeling: A review of the analysis of uncertainty, Water Resources Res. 23(1987)1393–1442.

    Google Scholar 

  2. H. Hebbel, Trend und Saison im linearen Modell, in:Data Analysis and Statistical Inference, Festschrift in honour of Friedhelm Eicker, ed. S. Schach and G. Trenkler (1992) pp. 513–520.

  3. H. Hebbel, Probleme bei der statistischen Analyse umweltbezogener Daten, in:Beiträge zur Umweltstatistik, ed. R. Viertl, Schriftenreihe der TU Wien, vol. 29 (1992) pp. 141–152.

  4. H. Hebbel, Verallgemeinertes Berliner Verfahren VBV, in:Probleme von Saisonbereinigungsverfahren — Eine vergleichende Studie, ed. K.-A. Schäffer, P. Miebach and K. Edel (Physica-Verlag, 1994).

  5. H. Hebbel and S. Heiler, Zeitreihenzerlegung über ein Optimalitätskriterium, Allgemeines Statistisches Archiv 71(1987)305–318.

    Google Scholar 

  6. H. Hebbel and S. Heiler, Trend and seasonal decomposition in discrete time, Statistische Hefte 28(1987)133–158.

    Google Scholar 

  7. H. Hebbel and S. Heiler, Statistische Analyse von Wassergütedaten, Allgemeines Statistisches Archiv 72(1988)24–39.

    Google Scholar 

  8. B. Koza, Zeitreihenfaktorenanalytische Auswertung von Wassergütedaten des Steinhuder Meeres, Diplomthesis, Fachbereich Statistik der Universität Dortmund (1990).

  9. R. Viertl, Zur statistischen Analyse von unscharfen Daten, in:Beiträge zur Umweltstatistik, ed. R. Viertl, Schriftenreihe der TU Wien, vol. 29 (1992) pp. 189–200.

    Google Scholar 

  10. M. Wrede, Zeitreihenfaktorenanalyse, Diplomthesis, Fachbereich Statistik der Universität Dortmund (1987).

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Hebbel, H. Environmental data modeling. Ann Oper Res 54, 263–278 (1994). https://doi.org/10.1007/BF02031737

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  • DOI: https://doi.org/10.1007/BF02031737

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