Evidence of nonextensive statistical physics behavior in the watershed distribution in active tectonic areas: examples from Greece

Filippos Vallianatos; Maria Kouli

doi:10.1117/12.2028316

5 August 2013 Evidence of nonextensive statistical physics behavior in the watershed distribution in active tectonic areas: examples from Greece

Filippos Vallianatos, Maria Kouli

Author Affiliations +

Proceedings Volume 8795, First International Conference on Remote Sensing and Geoinformation of the Environment (RSCy2013); 879525 (2013) https://doi.org/10.1117/12.2028316
Event: First International Conference on Remote Sensing and Geoinformation of Environment, 2013, Paphos, Cyprus

Abstract

The Digital Elevation Model (DEM) for the Crete Island with a resolution of approximately 20 meters was used in order to delineate watersheds by computing the flow direction and using it in the Watershed function. The Watershed function uses a raster of flow direction to determine contributing area. The Geographic Information Systems routine procedure was applied and the watersheds as well as the streams network (using a threshold of 2000 cells, i.e. the minimum number of cells that constitute a stream) were extracted from the hydrologically corrected (free of sinks) DEM. A number of a few thousand watersheds were delineated, and their areal extent was calculated. From these watersheds a number of 300 was finally selected for further analysis as the watersheds of extremely small area were excluded in order to avoid possible artifacts. Our analysis approach is based on the basic principles of Complexity theory and Tsallis Entropy introduces in the frame of non-extensive statistical physics. This concept has been successfully used for the analysis of a variety of complex dynamic systems including natural hazards, where fractality and long-range interactions are important. The analysis indicates that the statistical distribution of watersheds can be successfully described with the theoretical estimations of non-extensive statistical physics implying the complexity that characterizes the occurrences of them.

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Filippos Vallianatos and Maria Kouli "Evidence of nonextensive statistical physics behavior in the watershed distribution in active tectonic areas: examples from Greece", Proc. SPIE 8795, First International Conference on Remote Sensing and Geoinformation of the Environment (RSCy2013), 879525 (5 August 2013); https://doi.org/10.1117/12.2028316

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KEYWORDS

Physics

Statistical analysis

Geographic information systems

Raster graphics

Mechanics

Systems modeling

Complex systems

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