Skip to main content
SpringerLink
Log in

Statistical Models and Techniques for the Analysis of Conditions of an Ecological System

  • Chapter
The Wadden Sea Ecosystem

  • 145 Accesses

Abstract

This chapter treats the contribution of statistical research and applied statistics to ELAWAT. In the introduction the role of applied statistics in scientific research is described. Definitions of statistical terms and expressions are given to make the subsequent statements definite. The main part of the chapter introduces statistical models and methods. They are arranged according to the ecologically relevant terms in ELAWAT: pattern, process, relation, and distinction between states of a system. Each paragraph starts with an ecological question and treats statistical models and methods useful for finding an answer. Case studies with data from ELAWAT demonstrate some of the methods for data analysis and interpretation. The final paragraph summarizes the methods applied in ELAWAT.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Baumer H-P (1994) Stochastic simulation of dynamic point patterns. In: Faulbaum F (Ed) Soft-Stat ’93: Advances in Statistical Software 4. The 7th Conference on the Scientific Use of Statistical Software. Heidelberg, March, 14-18, 1993. G. Fischer, Stuttgart, pp 145-152

    Google Scholar 

  • Bickel PJ (1969) A distribution free version of the Smirnov two-sample test in the multivariate case. Ann Math Statist 40: 1–23

    Article  Google Scholar 

  • Blome D, Schleier U, van Bernem K-H (1999) Analysis of the small-scale spatial patterns of free-living marine nematodes from tidal flats in the East Frisian Wadden Sea. Marine Biology 133: 717–726

    Article  Google Scholar 

  • Bock HH (1980) Explorative Datenanalyse. In: Victor N, Lehmacher W & van Eimeren W (Eds). Explorative Datenanalyse. Springer, Berlin Heidelberg New York, pp 6–37

    Google Scholar 

  • Bohle-Carbonell M (1992) Empirische Variabilitätsabschätzung und Methodik der Datenerhebung. Abschlußbericht. Bundesamt für Seeschiffahrt und Hydrographie, Hamburg

    Google Scholar 

  • Borovkov K, Pfeifer D, Bäumer H-P (1996) Modeling dynamics and spatial aggregation of biological populations by stochastic networks. Senckenbergiana marit 27: 129–136

    Google Scholar 

  • Bortz J, Lienert GA, Boehnke K (1990) Verteilungsfreie Methoden in der Biostatistik. Springer, Berlin Heidelberg New York

    Google Scholar 

  • Büning H, Trenkler G (1994) Nichtparametrische statistische Methoden. de Gruyter, Berlin

    Google Scholar 

  • Cerioli A (1997) Modified tests of independence in 2 x 2 tables with spatial data. Biometrics 53: 619–628

    Article  Google Scholar 

  • Chatfield C (1975) The Analysis of Time Series: Theory and Practice. Chapman & Hall, London

    Google Scholar 

  • Clarke KR (1993) Non-parametric multivariate analyses of changes in community structure. Austr J Ecol 18: 117–143

    Article  Google Scholar 

  • Cox TF, Cox MAA (1994) Multidimensional Scaling. Chapman & Hall, London

    Google Scholar 

  • Cressie N (1993) Spatial prediction in a multivariate setting. In: Patil GP, Rao CR (Eds) Multivariate Environmental Statistics. Elsevier, Amsterdam, pp 99–107

    Google Scholar 

  • Dixon PM (1993) The bootstrap and the jackknife: Describing the precision of ecological indices. In: Scheiner SM, Gurevitch J (Eds) Design and Analysis of Ecological Experiments. Chapman & Hall, New York, pp 290–318

    Google Scholar 

  • Edgington ES (1995) Randomization Tests. Marcel Dekker, New York

    Google Scholar 

  • Friedman JH, Rafsky LC (1979) Multivariate generalizations of the Wald-Wolfowitz and Smirnov two-sample tests. Ann Statist 7: 697–717

    Article  Google Scholar 

  • Gittins R (1985) Canonical Analysis. A Review with Applications in Ecology. Springer, Berlin Heidelberg New York

    Google Scholar 

  • Green RH (1993) Relating two sets of variables in environmental studies. In: Patil GO, Rao CR (Eds) Multivariate Environmental Statistics. Elsevier, Amsterdam, pp 149–163

    Google Scholar 

  • Grimm V (1996) A down-to-earth assessment of stability concepts in ecology: Dreams, demands, and the real problems. Senckenbergiana marit 27: 215–226

    Google Scholar 

  • Henze N (1988) A multivariate two-sample test based on the number of nearest neighbor type coincidences. Ann Statist 16: 772–783

    Article  Google Scholar 

  • James FC, McCulloch CE (1990) Multivariate analysis in ecology and systematics: Panacea or Pandora’s box? Ann Rev Ecol Syst 21: 129–166

    Google Scholar 

  • Jongman RHG, ter Braak, CJF, van Tongeren OFR (1995) Data Analysis in Community and Landscape Ecology. Cambridge University Press, Cambridge

    Book  Google Scholar 

  • Journel AG, Huijbregts CJ (1991) Mining Geostatistics. Academic Press, London

    Google Scholar 

  • Kaufmann L, Rousseeuw PJ (1990) Finding Groups in Data. Wiley, New York

    Book  Google Scholar 

  • Kendall MG, Gibbons JD (1990) Rank Correlation Methods. Edward Arnold, London

    Google Scholar 

  • Kröncke I, Zeiß B, Dahms S (1996) Makrofauna-Langzeitreihe im Inselvorfeld von Norderney. Bericht des Umweltbundesamtes. UFOPLAN-Nr. 10204270

    Google Scholar 

  • Lamprecht J 1992. Biologische Forschung: Von der Planung bis zur Publikation. Parey, Berlin

    Google Scholar 

  • Lienert GA (1969) Testaufbau und Testanalyse. Beltz Verlag, Weinheim

    Google Scholar 

  • Lienert GA (1978) Verteilungsfreie Methoden in der Biostatistik. Anton Hain, Meisenheim

    Google Scholar 

  • Lozán JL (1992) Angewandte Statistik fiir Naturwissenschaftler. Parey, Berlin

    Google Scholar 

  • Ludwig J A, Reynolds JF (1988) Statistical Ecology. Wiley, New York

    Google Scholar 

  • Manly BFJ (1986) Multivariate Statistical Methods - A Primer. Chapman & Hall, London

    Google Scholar 

  • Mardia KV, Goodall CR (1993) Spatial-temporal analysis of multivariate environmental monitoring data. In: Patil GP, Rao CR (Eds) Multivariate Environmental Statistics. Elsevier, Amsterdam, pp 347–386.

    Google Scholar 

  • Matheron G (1971) The Theory of Regionalized Variables and its Applications. Les Cahiers du Centre de Morphologie Mathematique de Fontainebleau, Nr. 5. Ecole Nationale Superieure des Mines de Paris.

    Google Scholar 

  • Minchin PR (1987) An evaluation of the relative robustness of techniques for ecological ordination. Vegetatio 67: 1167–1179

    Google Scholar 

  • Moore GH, Wallis WA (1943) Time series significance tests based on sign of difference. JASA 38: 153–164

    Google Scholar 

  • Murthy DNP, Page NW, Rodin EY (1990) Mathematical Modelling. A Tool for Problem Solving in Engineering, Physical, Biological and Social Sciences. Pergamon Press, Oxford

    Google Scholar 

  • Ofenhcimer M (1971) Ein Kendall-Test gegen U-formigen Trend. Biometrische Zeitschrift 13: 416–420

    Article  Google Scholar 

  • Pfeifer D, Baumer H-P, Schleier-Langer U (1994) The analysis of spatial data from marine ecosystems. In: H.-H. Bock, H-H, Lenski W, Richter MM (Eds) Information Systems and Data Analysis. Springer, Berlin Heidelberg New York, pp 340–349

    Google Scholar 

  • Pfeifer D, Baumer H-P, Dekker R, Schleier U (1998) Statistical tools for monitoring benthic communities. Senckenbergiana marit 29: 63–79

    Article  Google Scholar 

  • Pfeifer D, Bäumer H-P, Ortleb H, Sach G, Schleier U (1996b) Modeling spatial distributional patterns of benthic meiofauna species by Thomas and related processes. Ecol Model 87: 285–294

    Article  Google Scholar 

  • Richter O, Söndgerath D (1990) Parameter Estimation in Ecology. The Link between Data and Models. VCH, Weinheim

    Google Scholar 

  • Sachs L (1992) Angewandte Statistik. Springer, Berlin Heidelberg New York

    Google Scholar 

  • Samietz J, Berger U (1997) Evaluation of movement parameters in insects — bias and robustness with regard to resight numbers. Oecologia 110: 40–49

    Article  Google Scholar 

  • Scheiffarth G, Nehls G, Austen I (1996) Modelling distribution of shorebirds on tidal flats in the Wadden Sea and visualisation of results with the GIS IDRISI. In: Lorup E, Strobl J (Eds) Salzburger Geografische Materialien, Heft 25. Selbstverlag des Instituts für Geographie der Universität Salzburg

    Google Scholar 

  • Schleier U, van Bernem K-H (1996) A method to compare samples of soft bottom communities. Senckenbergiana marit 26: 135–144

    Google Scholar 

  • Schlittgen R, Streitberg BHJ (1994) Zeitreihenanalyse. Oldenbourg, München

    Google Scholar 

  • Smith EP, Pontasch KW, Cairns J (1990) Community similarity and the analysis of multispecies environmental data: a unified statistical approach. Water Res 24: 507–514

    Article  CAS  Google Scholar 

  • Smith EP, Rheem S, Holtzman GI (1993) Multivariate assessment of trend in environmental variables. In: Patil GP, Rao CR (Eds) Multivariate Environmental Statistics. Elsevier, Amsterdam, pp 489–507

    Google Scholar 

  • Sokal RR, Rohlf FJ (1981) Biometry. Freeman, New York

    Google Scholar 

  • Underwood AJ (1994) Things environmental scientists (and statisticians) need to know to receive (and give) better statistical advice. In: Fletcher DJ, Manly BFJ (Eds) Statistics in Environmental Monitoring. University of Otago Press, Otago, pp 33–61

    Google Scholar 

  • van der Meer J (1991) Exploring macrobenthos-environment relationship by canonical correlation analysis. J Exp Mar Biol Ecol 148: 105–120

    Article  Google Scholar 

  • ver Hoef JM, Cressie N (1993) Spatial Statistics: Analysis of Field Experiments. In: Scheiner SM, Gurevitch J (Eds) Design and Analysis of Ecological Experiments. Chapman & Hall, New York, pp 319–425

    Google Scholar 

  • Warwick RM, Clarke KR (1991) A comparison of some methods for analysing change in benthic community structure. J mar biol Ass. UK 71: 225–244

    Article  Google Scholar 

  • Weiss L (1960) Two-sample tests for multivariate distributions. Ann Math Statist 31: 159–164

    Article  Google Scholar 

  • Wissel C (1989) Theoretische Okologie. Springer, Berlin Heidelberg New York

    Google Scholar 

Download references

Authors
  1. Ulrike Schleier
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Forschungszentrum Terramare, Schleusenstraße 1, 26382, Wilhelmshaven, Germany

    Sabine Dittmann

Rights and permissions

Reprints and permissions

Copyright information

© 1999 Springer-Verlag Berlin · Heidelberg

About this chapter

Cite this chapter

Schleier, U. (1999). Statistical Models and Techniques for the Analysis of Conditions of an Ecological System. In: Dittmann, S. (eds) The Wadden Sea Ecosystem. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-60097-5_4

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-60097-5_4

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-64256-2

  • Online ISBN: 978-3-642-60097-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation