Multifractal Characteristics Analysis Based on Slope Distribution Probability in the Yellow River Basin, China

ISPRS International Journal of Geo-Information - Tập 10 Số 5 - Trang 337
Zilong Qin1, Jinxin Wang2, Yan Lu1
1School of Water Conservancy Engineering, Zhengzhou University, Zhengzhou 450001, China
2School of Earth Science and Technology, Zhengzhou University, Zhengzhou 450001, China

Tóm tắt

Multifractal theory provides a reliable method for the scientific quantification of the geomorphological features of basins. However, most of the existing research has investigated small and medium-sized basins rather than complex and large basins. In this study, the Yellow River Basin and its sub-basins were selected as the research areas, and the generalized fractal dimension and multifractal spectrum were computed and analyzed with a multifractal technique based on the slope distribution probability. The results showed that the Yellow River Basin and its sub-basins exhibit clear multifractal characteristics, which indicates that the multifractal theory can be applied well to the analysis of large-scale basin geomorphological features. We also concluded that the region with the most uneven terrain is the Yellow River Downstream Basin with the “overhanging river”, followed by the Weihe River Basin, the Yellow River Mainstream Basin, and the Fenhe River Basin. Multifractal analysis can reflect the geomorphological feature information of the basins comprehensively with the generalized fractal dimension and the multifractal spectrum. There is a strong correlation between some common topographic parameters and multifractal parameters, and the correlation coefficients between them are greater than 0.8. The results provide a scientific basis for analyzing the geomorphic characteristics of large-scale basins and for the further research of the morphogenesis of the forms.

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Tài liệu tham khảo

Mandelbrot, 1967, How Long is the Coast of Britain? Statistical Self-Similarity and Fractional Dimension, Science, 156, 636, 10.1126/science.156.3775.636

Jiang, B., and Brandt, S.A. (2016). A Fractal Perspective on Scale in Geography. ISPRS Int. J. Geo-Inf., 5.

Karydas, C., and Jiang, B. (2020). Scale Optimization in Topographic and Hydrographic Feature Mapping Using Fractal Analysis. ISPRS Int. J. Geo-Inf., 9.

Cabrera-Barona, P.F., Bayón, M., Durán, G., Bonilla, A., and Mejía, V. (2020). Generating and Mapping Amazonian Urban Regions Using a Geospatial Approach. ISPRS Int. J. Geo-Inf., 9.

Iwahashi, 2001, Landform analysis of slope movements using DEM in Higashikubiki area, Japan, Comput. Geosci.-UK, 27, 851, 10.1016/S0098-3004(00)00144-8

Feng, M., Jung, K., and Kim, J.-C. (2020). Geomorphologic Analysis of Small River Basin within the Framework of Fractal Tree. Water, 12.

Ju, 2021, Morphology and multifractal characteristics of soil pores and their functional implication, Catena, 196, 104822, 10.1016/j.catena.2020.104822

Kamila, 2020, Spatial Fractal Properties of Loess Plateau in the Northern Shaanxi Province of China, J. Nanjing Norm. Univ. (Nat. Sci. Ed.), 43, 56

Ciobotaru, A.-M., Andronache, I., Ahammer, H., Radulovic, M., Peptenatu, D., Pintilii, R.-D., Drăghici, C.-C., Marin, M., Carboni, D., and Mariotti, G. (2019). Application of Fractal and Gray-Level Co-Occurrence Matrix Indices to Assess the Forest Dynamics in the Curvature Carpathians—Romania. Sustainability, 11.

Abdullah, 2019, Effect of the stream extraction threshold on the morphological characteristics of arid basins, fractal dimensions, and the hydrologic response, J. Afr. Earth Sci., 172, 103968

Cao, J.J., Tang, G.A., Fang, X., Liu, Y.J., Zhu, Y., Li, J.L., and Wagner, W. (2020). Identification of Active Gully Erosion Sites in the Loess Plateau of China Using MF-DFA. Remote Sens., 12.

Xiang, J., Xu, Y.P., Yuan, J., Wang, Q., Wang, J., and Deng, X.J. (2019). Multifractal Analysis of River Networks in an Urban Catchment on the Taihu Plain, China. Water, 11.

Biswas, 2019, Joint multifractal analysis for three variables: Characterizing the effect of topography and soil texture on soil water storage, Geoderma, 334, 15, 10.1016/j.geoderma.2018.07.035

Luo, 2020, Spatial variation of microtopography and its effect on temporal evolution of soil erosion during different erosive stages, Catena, 190, 104515, 10.1016/j.catena.2020.104515

Liu, Z., Han, L., Du, C., Cao, H., Guo, J., and Wang, H. (2021). Fractal and Multifractal Characteristics of Lineaments in the Qianhe Graben and Its Tectonic Significance Using Remote Sensing Images. Remote Sens., 13.

Benzi, 1999, On the multifractal nature of fully developed turbulence and chaotic systems, J. Phys. A Gen. Phys., 17, 3521, 10.1088/0305-4470/17/18/021

Siqueira, 2018, Multifractal and joint multifractal analysis of general soil properties and altitude along a transect, Biosyst. Eng., 168, 105, 10.1016/j.biosystemseng.2017.08.024

Xia, 2020, Multifractal characteristics of soil particle distribution under different vegetation types in the Yellow River Delta chenier of China, Geoderma, 368, 14311, 10.1016/j.geoderma.2020.114311

Li, W.Z., Wang, J.M., Zhang, Y.F., and Zhang, M. (2020). A novel characterization on the interaction of soil and vegetation in a reclaimed area of opencast coalmine based on joint multi-fractal method. Ecol. Indic., 107094.

Dutta, 2017, Decoding the Morphological Differences between Himalayan Glacial and Fluvial Landscapes Using Multifractal Analysis, Sci. Rep., 7, 11032, 10.1038/s41598-017-11669-0

Shen, 2009, Multifractal arithmethic for watershed topographic feature, Adv. Water Sci., 20, 385

Gaudio, 2000, Multifractal behaviour of river networks, Hydrol. Earth Syst. Sci., 4, 105, 10.5194/hess-4-105-2000

Ignacio, 1992, On the multifractal characterization of river basins, Geomorphology, 05, 297, 10.1016/0169-555X(92)90010-L

2013, Multifractal analysis applied to the study of the accuracy of DEM-based stream derivation, Geomorphology, 197, 85, 10.1016/j.geomorph.2013.04.040

Cao, 2004, Multi-fractal and its application in terrain character analysis, J. Beijing Univ. Aeronaut. Astronaut., 12, 1182

Gurugnanam, 2016, ASTER DEM based geological and Geomorphological investigation using GIS, Int. J. Remote Sens. Geosci., 5, 11

Tang, 2014, Progress of DEM and digital terrain analysis in china, Acta Geogr. Sin., 69, 1305

Hengl, 2008, Geomorphometry: A Brief Guide, Geomorphometry: Geomorphometry: Concepts, Software, Applications, Developments in Soil Science, Volume 33, 1

Seo, 2014, Multifractal properties of the peak flow distribution on stochastic drainage networks, Stoch. Environ. Res. Risk Assess., 28, 1157, 10.1007/s00477-013-0811-1

Aharony, 1989, Measuring multifractals, Phys. D Nonlinear Phenom., 38, 1, 10.1016/0167-2789(89)90165-6

Timar, 2007, Fractal dimension estimations of drainage network in the Carpathian–Pannonian system, Glob. Planet. Chang., 58, 197, 10.1016/j.gloplacha.2007.02.011

Ren, 2018, Analysis of the scale effect of DEM on topography and watershed characteristics in typical Karst mountainous area, J. Xinyang Norm. Univ. (Nat. Sci. Ed.), 31, 247

Mach, 1995, Two representations in multifractal analysis, J. Phys. A Math. Gen., 28, 5607, 10.1088/0305-4470/28/19/015

Montgomery, 2001, Slope distributions, threshold hillslopes, and steady-state topography, Am. J. Sci., 301, 432, 10.2475/ajs.301.4-5.432

Tang, 2008, Research on the slope spectrum of the Loess Plateau, Sci. China Ser. E, 51, 175, 10.1007/s11431-008-5002-9

Malcai, 1998, Scaling Range and Cutoffs in Empirical Fractals, Phys. Rev. Lett., 56, 2817

Lee, 1988, Phase transition in the multifractal spectrum of diffusion limited aggregation, Phys. Rev. Lett., 61, 2945, 10.1103/PhysRevLett.61.2945

Almqvist, 1996, Fractal analysis of scanning probe microscopy images, SurfaceSicence, 355, 221

Sun, X., Fu, Z.X., and Wu, Z.Q. (2001). Multifractal calculation of thin film growth. Chin. J. Comput. Phys., 247–252.

Takeyoshi, 2010, Characterization of volcanic geomorphology and geology by slope and topographic openness, Geomorphology, 118, 22, 10.1016/j.geomorph.2009.12.005

Zhou, 2004, Analysis of errors of derived slope and aspect related to DEM data properties, Comput. Geosci., 30, 369, 10.1016/j.cageo.2003.07.005

Arved, 2020, Terrestrial structure-from-motion: Spatial error analysis of roughness and morphology, Geomorphology, 350, 106883, 10.1016/j.geomorph.2019.106883

Maan, 2021, Evaluation of DEM interpolation techniques for characterizing terrain roughness, CATENA, 198, 105072, 10.1016/j.catena.2020.105072

He, 1996, The fractal dimension of river networks and its interpretation, Sci. Geogr. Sin, 16, 124

Zhu, 2003, Spatial dimension and relationship of mountain system, fault system and water system in Mainland China, Mt. Res., 21, 311

Kamer, 2013, Barycentric fixed-mass method for multifractal analysis, Phys. Rev. E, 88, 022922, 10.1103/PhysRevE.88.022922

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ISPRS International Journal of Geo-Information

Tập 10 Số 5

337

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