Multifractal analysis of morphological changes in water bodies' structure by means of the satellite imagery processing

Authors

  • М.V. Artiushenko Scientific Center for Aerospace Research of the Earth of the Institute of Geological Science of the NAS of Ukraine, Kiev
  • О.V. Tomchenko Scientific Center for Aerospace Research of the Earth of the Institute of Geological Science of the NAS of Ukraine, Kiev
  • D.L. Pidgorniak Scientific Center for Aerospace Research of the Earth of the Institute of Geological Science of the NAS of Ukraine, Kiev

DOI:

https://doi.org/10.15407/dopovidi2017.03.042

Keywords:

Danube delta, geosystems, multifractal analysis, remote sensing, Renyi entropy, spatial structures

Abstract

A statistical method of description of the dynamics of water bodies' geomorphic structures with the use of satellite images is proposed. The method involves the multifractal properties of geosystem objects' spatial structures and is focused on the automated imagery processing, by using the information criteria of fractal spectra variability. The selection of information criteria to assess changes in object's spatial structure is based on properties of the statistical Renyi entropy. By means of the remote sensing, the multifractal analysis of changes that occurred in the sea part of Danube's delta coastline structure for a 30-year period is made.

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References

Vasilyev, L. N. & Tyuflin, A. S. (1991). Fractal spatial structures of geosystems. Issledovanie Zemli iz Kosmosa, No. 1, pp. 44-52 (in Russian).

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Bak, P. (1996). How Nature Works: The Science of Self-Organized Criticality. New York: Copernicus. https://doi.org/10.1007/978-1-4757-5426-1

Artiushenko, M. V., Zub, L. N., Pidgorodetska, L. V. & Fedorovsky, A. D. (2011). Multifractal analysis of the biodiversity and the cenotic structure of a community of plants by remote sensing data. Reports of the National Academy of Sciences of Ukraine, 9: 132-141 (in Russian).

Feder, J. (1988). Fractals. New York: Plenum Press. https://doi.org/10.1007/978-1-4899-2124-6

Bashkirov, A. G. & Vityasev, A. V. (2007). Renyi entropy and power–law distributions in natural and humanitarian sciences. Dokl. AN, 412, No. 4, pp. 476-479 (in Russian). https://doi.org/10.1134/S1028335807020012

Mikhailov, V. N. (Ed.) (2004). Hydrology of the Danube Delta. Moscow: GEOS (in Russian).

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Published

22.05.2024

How to Cite

Artiushenko М., Tomchenko О., & Pidgorniak, D. (2024). Multifractal analysis of morphological changes in water bodies’ structure by means of the satellite imagery processing . Reports of the National Academy of Sciences of Ukraine, (3), 42–50. https://doi.org/10.15407/dopovidi2017.03.042

Issue

No. 3 (2017): Reports of the National Academy of Sciences of Ukraine

Section

Geosciences

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