Investigation of the relationship between fractal dimensions of the drainage networks and their morphometric properties (Case Study, Yazd-Ardakan Basin)

Document Type : Research Paper

Authors

1 Ph.D of Watershed Management Engineering, Faculty of Natural Resources and Desert Studies, Yazd University, Yazd, Iran.

2 Professor, Faculty of Natural Resources and Desert Studies, Yazd University, Yazd, Iran.

3 Assistant Professor, Faculty of Natural Resources and Desert Studies, Yazd University, Yazd, Iran.

10.29252/aridbiom.2020.1812

Abstract

The drainage networks as the most prominent landscapes on earth are basis of many hydrological and geomorphological models. Due to the geomorphological properties of the region, the drainage network shows its own fractal properties that are saved as code in it. In fact, drainage networks are fractal phenomena with fractal behavior. Fractal dimension is a parameter used to indicate the complexity of data. The analysis of fractal dimensions of drainage networks and their morphometric properties facilitate the perdition of their behavior in the future. This paper focuses on the relationship between fractal dimensions of drainage networks and their morphometric properties of drainage networks in Yazd- Ardakan basin. Therefore, through an analysis of fractal dimension of drainage networks and its comparison with morphometric properties, the fractal behavior of these drainage networks are investigated. Results showed Pck and Ktl formations indicate highest and lowest fractal dimension respectively. The results indicated a significant relationship between fractal dimensions of drainage networks and morphometric properties. In this research, a positive relationship was observed between morphometric parameters and fractal dimension, so that the greatest correlation coefficient was found between the fractal dimension and the drainage density (0.99).

Keywords


[1].Ben-Zion, Y., & Sammis, C. G. (2003). Characterization of fault zones. Pure and Applied Geophysics, 160(4), 677-715.
[2].Burrough, P. (1981). Fractal dimensions of landscapes and other environmental data. Nature, 294(5838), 240-242.
[3].De Cola, L., & Lam, N. S. N. (1993). Introduction to fractals in geography. Fractals in GeographyPrentice-Hall, Englewood Cliffs, NJ) pp, 3-22.
[4].Fac-Beneda, J. (2013). Fractal structure of the Kashubian hydrographic system. Hydrology, 488, 48-54.
[5].Fattahi, M. H., & Talebzadeh, Z. (2017). The relationship between watershed compactness coefficient and the fractal characteristics. Iran Water Resources Research, 13(1), 191-203. (in Farsi)
[6].Elmi Zade, H., Mah Peikar, O., & Sadatmand, M. (2013). Investigate the theory of fractals in fluvial geomorphology: A Case Study Zarrinehroud. Research of quantitative geomorphology, 3(2), 130-141. (in Farsi)
[7].Gloaguen, R., Marpu, P., & Niemeyer, I. (2007). Automatic extraction of faults and fractal analysis from remote sensing data. Nonlinear Processes in Geophysics, 14(2), 131-138.
[8].Gloaguen, R., Kabner, A., Wobbe, F., Shahzad, F., & Mahmood, A. (2008). Remote sensing analysis of crustal deformation using river networks. Paper presented at the Geoscience and Remote Sensing Symposium, IGARSS 2008. IEEE International.
[9].Horton, R. E. (1945). Erosional development of streams and their drainage basins; hydrophysical approach to quantitative morphology. Geological society of America bulletin, 56(3), 275-370.
[10].Ibanez, D. M., de Miranda, F. P., & Riccomini, C. (2014). Geomorphometric pattern recognition of SRTM data applied to the tectonic interpretation of the Amazonian landscape. ISPRS Journal of Photogrammetry and Remote Sensing, 87, 192-204.
[11].Karam, A., Saberi, M., (2015). Calculating fractal dimension in drainage basins and its relationship with the characteristics of the basin (Case study: North of Tehran watershed). Research of Quantitative Geomorphology, 4(3), 153-167. (in Farsi)
[12].Khanbabaei, Z., Karam, A., & Rostamizad, G. (2013). Studying Relationships between the Fractal Dimension of the Drainage Basins and Some of Their Geomorphological Characteristics. Geosciences, 4, 636.
[13].Krein, A., Petticrew, E., & Udelhoven, T. (2003). The use of finesediment fractal dimensions and colour to determine sediment sources in a small watershed. Catena, 53(2), 165-179.
[14].Kusák, M. (2013). Morphometric characteristics of valley nets in the Blue Nile basin in the Ethiopian highlands. Praha, 97 p. the diploma thesis (Mgr.). Ph.D. Department of Physical Geography and Geoecology, Faculty of Science, Charles University in Prague.
[15].Kusák, M. (2014). Review article: Methods of fractal geometry used in the study of complex geomorphic networks. AUC Geographica, 49(2), 99-110.
[16].La Barbera, P., & Rosso, R. (1989). On the fractal dimension of stream networks. Water Resources Research, 25(4), 735-741.
[17].Mandelbrot, B. B. (1983). The fractal geometry of nature/Revised and enlarged edition: WH Freeman New York, 495 p.
[18].Mandelbrot, B. B. (1967). How long is the coast of Britain. Science, 156(3775), 636-638.
[19].Nikooyi, E., Heydari, M., Talebbeydokhti, N. Hekmatzadeh, A. A. (2008) Fractal geometry in river engineering: ideas, concepts and achievements. National Congress on Civil Engineering, 14-15 May, University of Tehran. (in Farsi)
[20].Palmer, M. W. (1988). Fractal geometry: a tool for describing spatial patterns of plant communities. Vegetatio, 75(1-2), 91-102.
[21].Pelletier, J. D. (1999). Self‐organization and scaling relationships of evolving river networks. Geophysical Research: Solid Earth, 104(B4), 7359-7375.
[22].Perez-Pena, J. V., Azor, A., Azanon, J. M., & Keller, E. A. (2010). Active tectonics in the Sierra Nevada (Betic Cordillera, SE Spain): insights from geomorphic indexes and drainage pattern analysis. Geomorphology, 119(1), 74-87.
[23].Phillips, J. (1993). Interpreting the fractal dimension of river networks. Fractals in geography, 7, 142-157.
[24].Shahzad, F., Mahmood, S., & Gloaguen, R. (2010). Nonlinear analysisof drainage systems to examine surface deformation: an example from Potwar Plateau (Northern Pakistan). Nonlinear Processes in Geophysics, 17(2), 137-147.
[25].Shayan, S., Maghsoudi, M., Gol Alizade, M., Sharifi Kiya, M., & Norbakhsh, S. F. (2016). Spatial analysis of aeolian landforms by fractal theory (Case study: Ardestan Rig). Physical Geography Research Quarterly, 48(2), 231-245. (in Farsi)
[26]. Schuller, D., Rao, A., & Jeong, G. (2001). Fractal characteristics of dense stream networks. Hydrology, 243(1), 1-16.
[27].Taghizadeh-Mehrjardi, R. (2014). Digital Soil Mapping Using Geo-morphometric Parameters in the Yazd-Ardakan Plain. Arid Biom, 4(2), 39-53. (in Farsi)
[28].Taghizadeh-Mehrjardi, R., Sarmadian, F., Omid, M,. Toomanian, N., Rusta., M. J., & Rahimian, M. H. (2013). Incorporating soil taxonomic distance and decision tree for spatial prediction of soil classes in Ardakan, Yazd. Arid Biome, 6(1), 27-39. (in Farsi)
[29].Turcotte, D. L. (1997). Fractals and chaos in geology and geophysics: Cambridge university press.
[30].Turcotte, D. L. (2007). Self-organized complexity in geomorphology: Observations and models. Geomorphology, 91(3), 302-310.