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Detection of surface anomalies through fractal analysis and their relation to morphotectonics (High Zagros belt, Iran)

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Abstract

Fractal geometry is considered as a new method for quantitative analysis and explanation of surface complexities and roughness in self-similar or self-affine landforms. In the present study, the surface fractal dimensions were investigated by a cellular model by covering divider method and remote sensing data, in a complex morphotectonic region in terms of tectonic, geological, and geomorphological structures along the margin of the High Zagros Belt. Results of this study indicated that surface anomalies can be detected by cellular fractal model due to variations at the boundary of lithological units and structural zones, and along faults that can change the characters of the fractal dimension of landforms. Investigation of wavelet analyses on two profiles of study area shows that the amplitude and frequency of the fractal dimension is related to lithological and structural zones boundaries, and to the presence of faults. In this study, the lowest fractal dimension is associated with the integrated units of Mesozoic orbitolina limestone on the border of the two structural zones of Sanandaj-Sirjan and High Zagros belt. However, the presence of friable and erodible Quaternary formations increases the fractal dimension. There is an inverse relationship between the fractal dimension and elevation and Terrain Ruggedness Index, indicating that mountains have lower fractal dimensions than lowlands. The results of the present study show that fractal dimensional changes in topographically complex zones depend on the interaction of a set of lith-ological, tectonic, and geomorphological factors, and allow for a systematic quantitative analysis of landforms.

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References

  • Afaghi, A. and Afsharian, A.M., 1993, Geology maps of the Shahre-kord sheet (1:250,000). Iran Geological Survey and Mineral Exploration of Iran, Tehran, 67 p.

    Google Scholar 

  • Alavi, M., 1994, Tectonics of the Zagros orogenic belt of Iran: new data and interpretations. Tectonophysics, 229, 211–238.

    Google Scholar 

  • Alavi, M., 2007, Structures of the Zagros fold-thrust belt in Iran. American Journal of Science, 307, 1064–1095.

    Google Scholar 

  • Baas, A.C.W., 2002, Chaos, fractals and self-organization in coastal geo-morphology: simulating dune landscapes in vegetated environments. Geomorphology, 48, 309–328.

    Google Scholar 

  • Bachmanov, D., Trifonov, V., Hessami, K.T., Kozhurin, A., Ivanova, T., Rogozhin, E., Hademi, M., and Jamali, F., 2004, Active faults in the Zagros and central Iran. Tectonophysics, 380, 221–241.

    Google Scholar 

  • Berberian, M., 1976, Pre-Quaternary faults in Iran. Geological Survey of Iran, 39, 259–269.

    Google Scholar 

  • Berberian, M. and Navai, I., 1977, Naghan (Chahar Mahal Bakhtiari-high Zagros, Iran) earthquake of 6 April 1977: a preliminary field report and a seismotectonic discussion. Contribution to the seis-motectonics of Iran (part II-III). In: Commemoration of the 50th anniversary of the Pahlavi Dynasty, Tehran, 40, 51–77.

    Google Scholar 

  • Bhunia, S., Raychowdhury, A., and Roy, K., 2005, Defect oriented testing of analog circuits using wavelet analysis of dynamic supply current. Journal of Electronic Testing, 21, 147–159.

    Google Scholar 

  • Bi, L., He, H., Wei, Z., and Shi, F., 2012, Fractal properties of landforms in the Ordos Block and surrounding areas, China. Geomorphology, 175, 151–162.

    Google Scholar 

  • Braud, J. and Ricou, L.E., 1971, L’accident du Zagros ou Main Thrust un charriage et un coulissement. Comptes Rendus de l’Académie des Sciences, 272, 203–206.

    Google Scholar 

  • Bruzzone, A., Montanaro, J., Ferrando, A., and Lonardo, P., 2004, Wavelet analysis for surface characterisation: an experimental assessment. CIRP Annals-Manufacturing Technology, 53, 479–482.

    Google Scholar 

  • Burbank, D.W. and Anderson, R.S., 2011, Tectonic Geomorphology (2nd edition). John Wiley & Sons, New York, 444 p.

    Google Scholar 

  • Burrough, P., 1981. Fractal dimensions of landscapes and other environmental data. Nature, 294, 240–242.

    Google Scholar 

  • Campbell, J.B. and Ran, L., 1993, Chrom: a C program to evaluate the application of the dark object subtraction technique to digital remote-sensing data. Computers & Geosciences, 19, 1475–1499.

    Google Scholar 

  • Cao, W., Cai, Z., and Tang, Z., 2015, Fractal structure of lunar topography: an interpretation of topographic characteristics. Geomorphology, 238, 112–118.

    Google Scholar 

  • Carr, J.R. and Benzer, W.B., 1991, On the practice of estimating fractal dimension. Mathematical Geology, 23, 945–958.

    Google Scholar 

  • Chase, C.G., 1992, Fluvial landsculpting and the fractal dimension of topography. Geomorphology, 5, 39–57.

    Google Scholar 

  • Cox, R.T., 1994, Analysis of drainage-basin symmetry as a rapid technique to identify areas of possible Quaternary tilt-block tectonics: an example from the Mississippi embayment. Geological Society of America Bulletin, 106, 571–581.

    Google Scholar 

  • Czirók, A., Somfai, E., and Vicsek, T., 1997, Fractal scaling and power-law landslide distribution in a micromodel of geomorphological evolution. Geologische Rundschau, 86, 525–530.

    Google Scholar 

  • Dataset: ASF DAAC, 2007, ALOS-1 PALSAR_Radiometric_Terrain_ Corrected_low_res; Includes Material © JAXA/METI 2007. DOI: 10.5067/JBYK3J6HFSVF

  • De Bartolo, S.G., Veltri, M., and Primavera, L., 2006, Estimated generalized dimensions of river networks. Journal of Hydrology, 322, 181–191.

    Google Scholar 

  • Eineder, M., Fritz, T., Mittermayer, J., Roth, A., Boerner, E., and Breit, H., 2008, TerraSAR-X ground segment: basic product specification document (No. TX-GS-DD-3302). Cluster Applied Remote Sensing, 103 p.

    Google Scholar 

  • El Hajj, M., Baghdadi, N., Zribi, M., Belaud, G., Cheviron, B., Courault, D., and Charron, F., 2016, Soil moisture retrieval over irrigated grassland using X-band SAR data. Remote Sensing of Environment, 176, 202–218.

    Google Scholar 

  • Faghih, A. and Nourbakhsh, A., 2015, Implication of surface fractal analysis to evaluate the relative sensitivity of topography to active tectonics, Zagros mountains, Iran. Journal of Mountain Science, 12, 177–185.

    Google Scholar 

  • Flores-Prieto, E., Quénéhervé, G., Bachofer, F., Shahzad, F., and Maerker, M., 2015, Morphotectonic interpretation of the Makuyuni catchment in northern Tanzania using DEM and Sar data. Geo-morphology, 248, 427–439.

    Google Scholar 

  • Gallant, J.C., Moore, I.D., Hutchinson, M.F., and Gessler, P., 1994, Estimating fractal dimension of profiles: a comparison of methods. Mathematical Geology, 26, 455–481.

    Google Scholar 

  • Ghorbani, M., 2013, A summary of geology of Iran. In: Ghorbani, M. (ed.), The Economic Geology of Iran: Mineral Deposits and Natural Resources. Springer Publication, Dordrecht, p. 45–64.

    Google Scholar 

  • Hashim, M., Ahmad, S., Johari, M.A.M., and Pour, A.B., 2013, Automatic lineament extraction in a heavily vegetated region using landsat enhanced thematic mapper (Etm+) imagery. Advances in Space Research, 51, 874–890.

    Google Scholar 

  • Herzfeld, U.C. and Overbeck, C., 1999, Analysis and simulation of scale-dependent fractal surfaces with application to seafloor morphology. Computers & Geosciences, 25, 979–1007.

    Google Scholar 

  • Hessami, K., Jamali, F., and Tabassi., 2003, Major Active Faults of Iran map (1:2,500,000). Ministry of Science, Research and Technology, International Institute of Earthquake Engineering and Seismology (IIEES), Tehran, 1 p.

    Google Scholar 

  • Ibrahim, U. and Mutua, F., 2012, Lineament extraction using Landsat 8 (OLI) in Gedo, Somalia. International Journal of Science and Research, 3, 291–296.

    Google Scholar 

  • Iwahashi, J. and Pike, R.J., 2007, Automated classifications of topography from DEMs by an unsupervised nested-means algorithm and a three-part geometric signature. Geomorphology, 86, 409–440.

    Google Scholar 

  • Kanji, M.A., 2014, Critical issues in soft rocks. Journal of Rock Mechanics and Geotechnical Engineering, 6, 186–195.

    Google Scholar 

  • Klinkenberg, B., 1992, Fractals and morphometric measures: is there a relationship? Geomorphology, 5, 5–20.

    Google Scholar 

  • Klinkenberg, B. and Goodchild, M., 1992, The fractal properties of topography: a comparison of methods. Earth Surface Processes and Landforms, 17, 217–234.

    Google Scholar 

  • Koçal, Abdullah, H. Sebnem Duzgun and Ceyhun Karpuz. “Discontinuity Mapping with Automatic Lineament Extraction from High Resolution Satellite Imagery.” (2004).

    Google Scholar 

  • Koçal, A., Duzgun, H., and Karpuz, C., 2004, Discontinuity mapping with automatic lineament extraction from high resolution satellite imagery. Proceedings of the 20th Congress of International Society for Photogrammery and Remote Sensing, Istanbul, Jul. 12–23, 6 p.

    Google Scholar 

  • Koike, K., Nagano, S., and Kawaba, K., 1998, Construction and analysis of interpreted fracture planes through combination of satellite-image derived lineaments and digital elevation model data. Computers & Geosciences, 24, 573–583.

    Google Scholar 

  • Little, S.A., Carter, P.H., and Smith, D.K., 1993, Wavelet analysis of a bathymetric profile reveals anomalous crust. Geophysical Research Letters, 20, 1915–1918.

    Google Scholar 

  • Little, S.A. and Smith, D.K., 1996, Fault scarp identification in side-scan sonar and bathymetry images from the Mid-Atlantic ridge using wavelet-based digital filters. Marine Geophysical Researches, 18, 741–755.

    Google Scholar 

  • Liu, X., Zhang, G., Heathman, G.C., Wang, Y., and Huang, C.H., 2009, Fractal features of soil particle-size distribution as affected by plant communities in the forested region of mountain Yimeng, China. Geoderma, 154, 123–130.

    Google Scholar 

  • Logan, T., Nicoll, J., Laurencelle, J., Hogenson, K., Gens, R., Buechler, B., Barton, B., Shreve, W., Stern, T., and Drew, L., 2014, Radiomet-rically terrain corrected Alos Palsar data available from the Alaska satellite facility. Abstracts for American Geophysical Union (AGU) Fall Meeting, San Francisco, Dec. 15–19, p. 37–62.

    Google Scholar 

  • Lopes, R. and Betrouni, N., 2009, Fractal and multifractal analysis: a review. Medical Image Analysis, 13, 634–649.

    Google Scholar 

  • Malamud, B.D. and Turcotte, D.L., 2001, Wavelet analyses of Mars polar topography. Journal of Geophysical Research: Planets, 106, 17497–17504.

    Google Scholar 

  • Mark, D.M. and Aronson, P.B., 1984, Scale-dependent fractal dimensions of topographic surfaces: an empirical investigation, with applications in geomorphology and computer mapping. Journal of the International Association for Mathematical Geology, 16, 671–683.

    Google Scholar 

  • Masoumian, M., Barzegar, M., Mehdipoor, M., Asadollah, S., and Jalali, B., 2007, Myxobolus spp. (Myxosporea: Myxobolidea) from fishes of the Zayandeh-rud River (Esfahan, Iran); new hosts and locality record. Iranian Journal of Fisheries Sciences, 7, 89–100.

    Google Scholar 

  • Maurer, T., 2013, How to Pan-Sharpen images using the Gram-Schmidt Pan-Sharpen method-a recipe. Proceedings of the International Archives of Photogrammetry, Remote Sensing and Spatial Information Sciences, Hannover, May 21–24, p. 239–244.

    Google Scholar 

  • Mwaniki, M.W., Moeller, M.S., and Schellmann, G., 2015, A comparison of Landsat 8 (Oli) and Landsat 7 (Etm+) in mapping geology and visualising lineaments: a case study of central region Kenya. The International Archives of Photogrammetry, Remote Sensing and Spatial Information Sciences, 40, 897–903.

    Google Scholar 

  • Nikora, V.I., Sapozhnikov, V.B., and Noever, D.A., 1993, Fractal geometry of individual river channels and its computer simulation. Water Resources Research, 29, 3561–3568.

    Google Scholar 

  • Outcalt, S.I., Hinkel, K.M., and Nelson, F.E., 1994, Fractal physiography. Geomorphology, 11, 91–106.

    Google Scholar 

  • Raghavan, V., Masumoto, S., Koike, K., and Nagano, S., 1995, Automatic lineament extraction from digital images using a segment tracing and rotation transformation approach. Computers & Geosciences, 21, 555–591.

    Google Scholar 

  • Rahman, Z., Slob, S., and Hack, R., 2006, Deriving roughness characteristics of rock mass discontinuities from terrestrial laser scan data. Proceedings of the 10th International Congress of International Association of Engineering Geology and The Environment (IAEG2006) on Engineering Geology for Tomorrow’s Cities, Nottingham, Sep. 6–10, p. 12–30.

    Google Scholar 

  • Riley, S.J., 1999, Index that quantifies topographic heterogeneity. Intermountain Journal of Sciences, 5, 23–27.

    Google Scholar 

  • Sahbaei, M. and Masoomi, 2006, Geology maps of Chadegan and Ferey-doun Shahr sheet (1:100,000). Iran Geological Survey and Mineral Exploration of Iran, Tehran, 6155 p.

    Google Scholar 

  • Sanders, L., 2007, Models in Spatial Analysis. ISTE, Newport Beach, 319 p.

    Google Scholar 

  • Sezer, E., 2010, A computer program for fractal dimension (Fracek) with application on type of mass movement characterization. Computers & Geosciences, 36, 391–396.

    Google Scholar 

  • Shahzad, F. and Gloaguen, R., 2011, TecDEM: A MATLAB based toolbox for tectonic geomorphology, Part 1: Drainage network preprocessing and stream profile analysis. Computers & Geosciences, 37, 250–260.

    Google Scholar 

  • Shahzad, F. and Gloaguen, R., 2011, TecDem: a Matlab based toolbox for tectonic Geomorphology, Part 2: Surface dynamics and basin analysis. Computers & Geosciences, 37, 261–271.

    Google Scholar 

  • Silberschmidt, V.V., 1996, Fractal approach in modelling of earthquakes. Geologische Rundschau, 85, 116–123.

    Google Scholar 

  • Sung, Q.C. and Chen, Y.C., 2004, Self-affinity dimensions of topography and its implications in morphotectonics: an example from Taiwan. Geomorphology, 62, 181–198.

    Google Scholar 

  • Tarboton, D.G., Bras, R.L., and Rodriguez-Iturbe, I., 1988, The fractal nature of river networks. Water Resources Research, 24, 1317–1322.

    Google Scholar 

  • Tchalenko, J. and Braud, J., 1974, Seismicity and structure of the Zagros (Iran): the main recent fault between 33 and 35 N. Philosophical Transactions of the Royal Society of London: Series A, Mathematical and Physical Sciences, 277, 1–25.

    Google Scholar 

  • Terrizzano, C.M., Cortés, J.M., Zech, R., and Morabito, E.G., 2014, Drainage anomalies as indicators of soft-linked deformation zones between neotectonic structural highs in the Precordillera, Central Andes of Argentina. Geomorphology, 224, 1–15.

    Google Scholar 

  • Turcotte, D.L., 1997, Fractals and Chaos in Geology and Geophysics (2nd edition). Cambridge University Press, Cambridge, 398 p.

    Google Scholar 

  • USGS, 2000, Earth Explorer. U.S. Department of the Interior, U.S. Geological Survey, USGS Fact Sheet 083-00. https://earthexplorer.usgs.gov/

  • Wang, J. and Howarth, P.J., 1990, Use of the Hough transform in automated lineament. IEEE Transactions on Geoscience and Remote Sensing, 28, 561–567.

    Google Scholar 

  • Wasson, R., Caitcheon, G., Murray, A.S., Mcculloch, M., and Quade, J., 2002, Sourcing sediment using multiple tracers in the catchment of lake Argyle, northwestern Australia. Environmental Management, 29, 634–646.

    Google Scholar 

  • Werner, B., 1999, Complexity in natural landform patterns. Science, 284, 102–104.

    Google Scholar 

  • Xie, H. and Wang, J.A., 1999, Direct fractal measurement of fracture surfaces. International Journal of Solids and Structures, 36, 3073–3084.

    Google Scholar 

  • Xu, T., Moore, I.D., and Gallant, J.C., 1993, Fractals, fractal dimensions and landscapes-a review. Geomorphology, 8, 245–262.

    Google Scholar 

  • Yamini-Fard, F., Hatzfeld, D., Tatar, M., and Mokhtari, M., 2006, Micro-earthquake seismicity at the intersection between the Kazerun fault and the main recent fault (Zagros, Iran). Geophysical Journal International, 166, 186–196.

    Google Scholar 

  • Zhou, Z. and Adeli, H., 2003, Time-frequency signal analysis of earthquake records using Mexican Hat wavelets. Computer-Aided Civil and Infrastructure Engineering, 18, 379–389.

    Google Scholar 

  • Zhu, C.Q., Yang, C.S., and Wang, Q.S., 2008, A watermarking algorithm for vector geo-spatial data based on integer wavelet transform. International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences, 37, 15–18.

    Google Scholar 

  • Zlatopolsky, A.A., 1992, Program lessa (lineament extraction and stripe statistical analysis) automated linear image features analysis-experimental results. Computers & Geosciences, 18, 1121–1126.

    Google Scholar 

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  1. Department of Geography and Environmental Sciences, Hakim Sabzevari University, P.O. Box 9617976487, Sabzevar, Khorasan Razavi, Iran

    Mahnaz Shiran, Mohammad Ali Zangeneh Asadi, Hamed Adab & Abolghasem Amirahmadi

  2. Department of Geosciences, University of Padova, Via G. Gradenigo 6, P.O. Box 35131, Padova, Italy

    Paolo Mozzi

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  1. Mahnaz Shiran
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Shiran, M., Asadi, M.A.Z., Mozzi, P. et al. Detection of surface anomalies through fractal analysis and their relation to morphotectonics (High Zagros belt, Iran). Geosci J 24, 597–613 (2020). https://doi.org/10.1007/s12303-019-0042-7

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