Abstract
Ulrich (1981) supposes in the hypothesis of humusdisintegrationthat the balance between polymerisation and breakdown of organicmaterial may be disturbed in chemically well buffered Europeanforest soils. This new aspect of aluminium toxicity may causenitrogen exceedance in forest ecosystems and subsequent seasonalnitrate output (Eichhorn and Hütterman, 1999).In a research program the substances in the seepage water aremonitored in a small woodland in central Germany. We explorethese multivariate data for examining possible influences on theprocess of humusdisintegration and its temporal evolution. As aresult, a regression model for carbon is developed, whichincludes covariables, i.e., other substances, as well as spatialand temporal terms describing systematic variability. Especiallyiron and aluminium turn out to be very influential in the model.So far our work is a basic step for monitoring the seepage waterdata by means of stochastic modelling.
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References
Besag, J. E.: 1974. ‘Spatial Interaction and the Statistical Analysis of Lattice Systems’, Journal of the Royal Statistical Society, Series B 36, pp. 192–225.
Box, G. E. P. and Cox, D. R.: 1964, ‘An Analysis of Transformations’, Journal of the Royal Statistical Society, Series B 26, pp. 211–243.
Box, G. E. P., Jenkins, G. M. and Reinsel, G. C.: 1994, Time series analysis, forecasting and control, Third edition, Pretice Hall, Englewood Cliffs.
Brillinger, D. R.: 1996, ‘Remarks Concerning Graphical Models for Time Series and Point Processes’, Revista De Econometria 16, pp. 1–23.
Christensen, R.: 1987, Plant Answers to Complex Questions. The Theory of Linear Models, Springer, New York.
Cook, R. D. and Weisberg, S.: 1982, Residuals and Influence in Regression, Chapman and Hall, New York.
Cressie, N. A. C.: 1993, Statistics for Spatial Data, John Wiley & Sons, New York.
Dahlhaus, R.: 2000, ‘Graphical Interaction Models for Multivariate Time Series’, to appear in Metrika.
Draper, N. and Smith, H.: 19981, Applied Regression Analysis, Second Edition, John Wiley & Sons, New York.
Eichhorn, J.: 1995, ‘Stickstoffsättigung und ihre Auswirkungen auf das Buchenwaldökosystem der Fallstudie Zierenberg’, Habilitationsschrift, Bericht des Forschungszentrums Waldökosysteme Reihe A 124, Göttingen.
Eichhorn, J. and Hüttermann, A.: 1999, ‘Mechanisms of Humus Dynamics and Nitrogen Mobilization’, in: N. Rastin, and J. Bauhus (eds.): Going Underground, Ecological Studies in Forest Soils, Research Signpost, Trivandrum, India, pp. 239–277.
Englund, E. and Sparks, A.: 1991, ‘Geo-EAS 1.2.1 User's Guide’, EPA Report 600/8–91/008, EPAEMSL, Las Vegas, U.S.A.; Geo-EAS is available via http://curie.ei.jrc.it/software/geoeas.html.
Ferrándiz, J., López, A., Llopis, A., Morales, M. and Tejerizo, M. L.: 1995, ‘Spatial Interaction between Neighbouring Counties: Cancer Mortality Data in Valéncia (Spain)’, Biometrics 51, pp. 665–678.
Fried, R.: 1999a, Räumlich-zeitliche Modellierung der Kohlenstoffkonzentration im Waldboden-Sickerwasser zur Untersuchung der Hypothese der Humusdisintegration, PhD-thesis, Department of Mathematics, Darmstadt University of Technology, Germany, and Logos, Berlin.
Fried, R.: 1999b, Coupled Linear Models For Repeated Measurements Considering Missing Data, Preprint, Department of Mathematics, Darmstadt University of Technology, Germany.
Gelfand, A. E., Ghosh, S. K., Knight, J. R. and Sirmans, C. F.: 1998, ‘Spatio-Temporal Modeling of Residential Sales Data’, J. Bus, Econ, Stat. 16, pp. 312–321.
Good, I. J.: 1981, ‘Some Logic and History of Hypothesis Testing’, in: J. C. Pitt (ed.) Philosophical Foundations of Economics, Reidel, Dordrecht, reprinted more briefly in: I. J. Good, Good Thinking, University of Minnesota press, Minneapolis, pp. 22–55.
Hampel, F. R., Ronchetti, E. M., Rousseeuw, P. J. and Stahel, W. A.: 1986, Robust Statistics, John Wiley & Sons, New York.
Hodges, J. L. and Lehmann, E. L.: 1954, ‘Testing the Approximate Validity of Statistical Hypotheses’, Journal of the Royal Statistical Society, Series B 16, 259–268.
Journal, A. G. and Huijbregts, C. J.: 1978, Mining Geostatistics, Academic Press, London.
Lauritzen, S. L.: 1996, Graphical Models, Oxford: Clarendon.
Paar, U.: 1994, ‘Untersuchungen zum Einfluss von Ammonium und Nitrat auf wurzelphysiologische Reaktionsmuster der Buche’, Berichte des Forschungszentrums Waldökosysteme, Reihe A 115, University of Göttingen, Germany.
Pfeifer, P. E. and Deutsch, S. J.: 1980, ‘A Three-Stage Iterative Procedure for Space-Time Modelling’, Technometrics 22, pp. 35–47.
Rousseeuw, P. J.: 1997, ‘Introduction to Positive-Breakdown Methods’, in G. S. Maddala and C. R. Rao (eds) Handbook of Statistics 15, 101–121.
Rousseeuw, P. J. and Van Zomeren, B. C.: 1990, 'Unmasking Multivariate Outliers and Leverage Points (with discussion). Journal of the American Statistical Association 85, 633–651.
Sen, A. and Srivastava, M.: 1990, Regression Analysis: Theory, Methods and Applications, Springer, New York.
Ulrich, B.: 1981, ‘Theoretische Betrachtung des Ionenkreislaufs in Waldökosystemen’, Z. Pflanzenernährung Bodenkunde, pp. 647–659.
Wermuth, N. and Lauritzen, S. L.: 1990, ‘On Substantive Research Hypotheses, Conditional Independence Graphs and Graphical Chain Models’, Journal of the Royal Statistical Society, Series B 52, pp. 21–50.
Wolpert, R. L. and Ickstadt, K.: 1998, ‘Poisson/gamma random field models for spatial statistics’, Biometrika 85, pp. 251–267.
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Fried, R., Eichhorn, J. & Paar, U. Exploratory Analysis and a Stochastic Model for Humusdisintegration. Environ Monit Assess 68, 273–295 (2001). https://doi.org/10.1023/A:1010755709242
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DOI: https://doi.org/10.1023/A:1010755709242