Hydrosphere as an Indivisible Self-Organised Dynamic System
All waters on the Earth, united under the name “hydrosphere”, can be considered as an indivisible self-organized dynamic system. The technical solution for indivisibility and self-organization of the hydrosphere dynamic system is represented by the SimpleBase Delineation Model™ and its visual interpretation as the Structural Harmony Chart of Hydrosphere™ (Fig. 1). The Structural Harmony Chart of Hydrosphere™ (SHC) represents the harmonized dynamic structure of an examined spacetime: the particular 3-dimensional space at the particular time period. The declining line indicates the stable part of the spacetime dynamic structure for all involved variables, named the base dynamic component. The faster growing red line indicates the unbounded extremes of the spacetime dynamic structure, named the storm components. The bounded dynamic limits are shown by the third line and are named the inter components. The features of the model and the graph are the following: universal and simple, spacetime specific and scale-invariant.
Content Table
Simplicity
The SimpleBase Delineation Model™ is the double-step convolution digital filter for the time-step dynamics investigation. The declining limb of the time-step frequency distribution of each variable is the subject of this investigation (fig. 2). At the first step of the model, both the most frequent and the rarest time-step dynamics are estimated independently for each variable. The most frequent and therefore the most stable dynamic limit, dQb, outlines the base component of a variable in the time domain. The extreme dynamic limit dQmax is the one occurring only ones during the time period. The bounded dynamic limit dQi is estimated through harmonization of all variables together.
Universality
The list of variables of the examined spacetime is unlimited due to the hydrosphere dynamic system consist of the following dynamic sub-systems: atmosphere, surface fresh and salty water (seas and oceans), groundwater, cryosphere (glaciers and snow), rhizosphere (soils), biosphere. Series of the maximal and minimal values can be added in the up-scaling process: hourly -daily - monthly - yearly or point - landscape- catchment -watershed- basin - territory.
Scale invariance
Scale-invariance is the most important practical feature of SHC, which is spacetime specific. In terms of time, the dynamic structure of any unknown scale can be adopted from the wellknown daily scale of the same spacetime. In terms of space, the dynamic structure of any unknown spot of the examined spacetime has the same dynamic structure as the entire spacetime with the limitation for the structural divider value by daily precipitation at the unknown spot.
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References
Reference 1Vedom, R. The hydrological aspects of sustainable development. In Proceedings of the 1st IWA Development Congress, 15-19 November 2009, Mexico City, Mexico.
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