Abstract
The set of non-conservative hydrochemical parameters is considered as a complex system, which displays collective behavior. It is found that the collective behavior is described by the power relation between the time variability (the standard deviations) and the average concentrations of different hydrochemical parameters in the scale range 100 – 0:0001 mg/kg. The exponent can be 0:7 – 0:9. Power law scaling is the mathematical expression of self similarity and fractality. The complex systems of nonconservative chemical parameters have a structure that can be characterized by exponent, normalization coefficient, standard error, correlation coefficient, and by sharp deviations of the individual parameters from the regression line and from the most probable average and standard deviation values, if any. It is shown with specific examples that changes in the hydrochemical systems structure are the result of the manifestation of biogeochemical processes and the dynamics of water. Regression analysis of collective behavior of complex hydrochemical systems is one of the examples of the use of modern information technologies based on the methods of system analysis.
Highlights
The set of various non-conservative hydrochemical parameters can be considered as a complex system [1, 2].A complex system is a system composed of many interacting parts, which displays collective behavior that does not follow trivially from the behaviors of the individual parts
Power law scaling is the mathematical expression of self similarity and fractality [1,2,3,4,5,6]
It has already been shown earlier on the example of the Amur Bay (Sea of Japan) that the collective behavior of the hydrochemical system manifests itself as the power dependence between the time average concentrations P and the time variability s of various non-conservative hydrochemical parameters: log s = γ log P + log ξ, (1)
Summary
The set of various non-conservative hydrochemical parameters can be considered as a complex system [1, 2]. The structure of complex systems whose collective behaviors obeys a power law can be described by the regression characteristics: its parameters, standard error, correlation coefficient, and sharp deviations of the individual system parts from the regression line and from the most probable values of the parts characteristics, if any. It is of interest to consider on specific examples how observations conditions can affect structure of complex systems It has already been shown earlier on the example of the Amur Bay (Sea of Japan) that the collective behavior of the hydrochemical system manifests itself as the power dependence between the time average concentrations P and the time variability s (standard deviations) of various non-conservative hydrochemical parameters: log s = γ log P + log ξ,.
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