Application of GMDH to the Environmental Modeling with Short Samples. Vladimir A. Vissikirsky, Volodymyr S. Stepashko, and Ioannis K. Kalavrouziotis. IWIM, Prague, 2007.

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Abstract. The paper considers the issues concerning the environmental modeling and analysis of agricultural and forest plant species grown under different controlled and uncontrolled conditions, with short data samples available. The key approach to the analysis of such kind of complex systems consists in the decomposition of a modeled system into subsystems with consistently small number of samples. The paper shows the examples of how to analyze individual subsystems and generalize modeling results for different subsystems to the whole system, by utilizing the GMDH advantages and qualitative analysis techniques. Here, the GMDH has been applied to estimate and analyze features of the tree growth dynamics, heavy metals impact on species cultivated near the motor road, etc. The GMDH generates the sets of models with different structures and accuracies thus enabling the identification of the most relevant structures, the analysis of their similarity and the assumptions about input of different factors. In particular, it is shown how a pair of linear models of identical structure describing different subsystems can be compiled into a model that describes a higher-level subsystem. Qualitative analysis techniques give the possibility to analyze behavior of individual subsystems as well as the system in whole.

Keywords. GMDH, qualitative assessment, environmental modeling, irrigation, wastewater, road pollution

References.

1. Kalavrouziotis I. K., Stepashko V. S., Vissikirsky V. A., Drakatos P.A.: Group Method of Data Handling (GMDH) application for modelling of mechanical properties of trees irrigated with wastewater. International Journal of Environment and Pollution, p. 589-601, 18 (6), 2002.

2. Kalavrouziotis I. K., Stepashko V. S., Vissikirsky V. A., Drakatos P.A.: Group Method of Data Handling (GMDH) in modelling of growth dynamics of tress irrigated with wastewater. International Journal of Environment and Pollution, p. 350-364, 21 (4), 2004.

3. Vissikirsky V.A., Stepashko V.S., Kalavrouziotis I.K., Drakatos P.A.: Growth Dynamics of trees Irrigated with wastewater: GMDH Modeling, Assessment and Control Issues. Instrumentation Science and Technology, p. 229-249, 33(2), 2005.

4. Kalavrouziotis I. K., Pantazis V. N., Vissikirsky V. A., Stepashko, V. S.: Irrigation of Forest Species with Wastewater and Sludge: Experiments, Modeling, and Qualitative Assessment, Instrumentation Science and Technology, p. 727–742, 34, 2006.

5. Kalavrouziotis I. K., Carter J., Varnavas S. P., Mehra A., Drakatos P.A.: Towards an understanding of the effect of road pollution an adjacent food crops: Zea mays as an example. International Journal of Environment and Pollution, 29, 2007.