|Table of Contents|

Fractal Dimension Features from Catchment BoundaryProfile(CBP)of Small Watersheds in the NorthernShaanxi Province of China(PDF)

《南京师大学报(自然科学版)》[ISSN:1001-4616/CN:32-1239/N]

Issue:
2019年04期
Page:
131-144
Research Field:
·地理学·
Publishing date:

Info

Title:
Fractal Dimension Features from Catchment BoundaryProfile(CBP)of Small Watersheds in the NorthernShaanxi Province of China
Author(s):
Kamila Kabo-bah123Tang Guoan14Yang Xin15Na Jiaming4Xiong Liyang5
(1.School of Geography,Nanjing Normal University,Nanjing 210023,China)(2.School of Geosciences,University of Energy and Natural Resources,Sunyani 214,Ghana)(3.Earth Observation Research and Innovation Centre(EORIC),University of Energy and Natural Resou
Keywords:
box countingHiguchiHurstdigital elevation model(DEM)fractal dimension
PACS:
P208
DOI:
10.3969/j.issn.1001-4616.2019.04.019
Abstract:
The Loess Plateau of the Northern Shaanxi Province continues to be an important geomorphological research zone as a result of its history and geology evolution. This paper assessed the fractal properties of Catchment Boundary Profiles(CBP)generated from a 30 m ASTER Digital Elevation Model(DEM)for the study area. Three fractal models were applied:Box Counting,Higuchi and Hurst. The methods showed slight variation of fractal dimension’s(FD)estimates for each CBP,with close estimates between the Box Counting and Higuchi models. The Box counting method was the most consistent and accurate while the Higuchi overestimated in some cases. The FD results shows close similarity with CBP complexity and harmonic behaviour,revealing the fractals sensitivity to changes in geomorphological characteristics irrespective of the size of the object under investigation. The results also closely relate to previous works landform classification and dynamic analysis using other methods. The findings from this research would provide vital information for future land use planning purposes in the region and complement other research interested in the application of fractals for modelling on climate related studies.

References:

[1] Lü G,XIONG L,CHEN M,et al. Chinese progress in geomorphometry[J]. Journal of geographical sciences,2017,27(11):1389-1412.
[2]AN Z,KUKLA G J,PORTER S C,et al. Magnetic susceptibility evidence of monsoon variation on the Loess Plateau of central China during the last 130 000 years[J]. Quaternary research,1991,36(1):29-36.
[3]FU B,CHEN L,MA K,et al. The relationships between land use and soil conditions in the hilly area of the loess plateau in northern Shaanxi,China[J]. Catena,2000,39(1):69-78.
[4]ZHAO T,YANG M,WALLING D E,et al. Using check dam deposits to investigate recent changes in sediment yield in the Loess Plateau,China[J]. Global and planetary change,2017,152:88-98.
[5]ZHAO G,KONDOLF G M,MU X,et al. Sediment yield reduction associated with land use changes and check dams in a catchment of the Loess Plateau,China[J]. Catena,2017,148(2):126-137.
[6]GUOAN T,MUDAN Z,TIANWEN L,et al. Simulation on slope uncertainty derived from DEMs at different resolution levels:a case study in the Loess Plateau[J]. Journal of geographical sciences,2003,13(4):387-394.
[7]XIONG L,TANG G,YAN S,et al. Landform-oriented flow-routing algorithm for the dual-structure loess terrain based on digital elevation models[J]. Hydrological process,2014,28(4):1756-1766.
[8]TANG G,JIA Y,YANG X,et al. The profile spectrum of catchment boundary basing on DEMs in loess plateau[C]//the 24th international cartographic conference. Santiago,Chile,2009:15-21.
[9]TANG G,LI F,LIU X,et al. Research on the slope spectrum of the Loess Plateau[J]. Science in China series E:technological sciences,2008,51(1):175-185.
[10]HESSEL R,VAN ASCH T. Modelling gully erosion for a small catchment on the Chinese Loess Plateau[J]. Catena,2003,54(1/2):131-146.
[11]ZHANG H Y,SHI Z H,FANG N F,et al. Linking watershed geomorphic characteristics to sediment yield:evidence from the Loess Plateau of China[J]. Geomorphology,2015,234:19-27.
[12]CHENG N N,HE H M,YANG S Y,et al. Impacts of topography on sediment discharge in Loess Plateau,China[J]. Quaternary international,2017,440:119-129.
[13]Zhou Y,Tang G,Yang X,et al. Positive and negative terrains on northern Shaanxi Loess Plateau[J]. Journal of geographical sciences,2010,20(1):64-76.
[14]TURCOTTE D L. Fractals and chaos in geology and geophysics[M]. Cambridge:Cambridge University Press,1997:412.
[15]ZHOU B,WANG J,WANG H. Three-dimensional sphericity,roundness and fractal dimension of sand particles[J]. Geotechnique,2017,68(1):18-30.
[16]PESQUET P B,VéHEL J L. Stochastic fractal models for image processing[J]. IEEE signal processing magazine,2002,19(5):48-62.
[17]LI M,YANG X,NA J,et al. Regional topographic classification in the North Shaanxi Loess Plateau based on catchment boundary profiles[J]. Progress in physical geography,2017,41(3):302-324.
[18]WANG X,JIAO F,LI X,et al. The loess plateau[M]//Multifunctional land-use systems for managing the nexus of environmental resources. Cham:Springer,2017:11-27.
[19]USGS. Earth explorer[J/OL]. [2019-03-01]. https://earthexplorer.usgs.gov/.
[20]TACHIKAWA T,KAKU M,IWASAKI A,et al. ASTER global digital elevation model version 2-summary of validation results[R]. Washington D.C.:NASA,2011.
[21]KLINKENBERG B. A review of methods used to determine the fractal dimension of linear features[J]. Mathematical geology,1994,26(1):23-46.
[22]RODRIGUEZ I,RINALDO A I. Fractal river basins:chance and self-organization[M]. Cambridge:Cambridge University Press,2001:564.
[23]ANGELES G R,PERILLO G M E,PICCOLO M C,et al. Fractal analysis of tidal channels in the Baha Blanca Estuary(Argentina)[J]. Geomorphology,2004,57(3/4):263-274.
[24]ZHAO X,WANG X. Fractal dimension estimation of Rgb color images using maximum color distance[J]. Fractals,2016,24(4):1650040.
[25]ORTIZ J P,AGUILERA R C,BALANKIN A S,et al. Seismic activity seen through evolution of the hurst exponent model in 3D[J]. Fractals,2016,24(4):1650045.
[26]MIELNICZUK J,WOJDYO P. Estimation of Hurst exponent revisited[J]. Computational statistics & data analysis,2007,51(9):4510-4525.
[27]ZHANG H F,SHU Y T,YANG O. Estimation of Hurst parameter by variance-time plots[C]//1997 IEEE Pacific Rim Conference on Communications,Computers and Signal Processing,PACRIM. 10 Years Networking the Pacific Rim,1987-1997. Victoria B.C.:IEEE,1997:883-886.
[28]VAZIRI G,ALMASGANJ F,JENABI M S. On the fractal self-similarity of laryngeal pathologies detection:the estimation of Hurst parameter[C]//2008 International Conference on Information Technology and Applications in Biomedicine. Shenzhen:IEEE,2008:383-386.
[29]GILMORE M,YU C X,RHODES T L,et al. Investigation of rescaled range analysis,the Hurst exponent,and long-time correlations in plasma turbulence[J]. Physics of plasmas,2002,9(4):1312-1317.
[30]BASSINGTHWAIGHTE J B,RAYMOND G M. Evaluating rescaled range analysis for time series[J]. Annals of biomedical engineering,1994,22(4):432-444.
[31]SAKALAUSKIEN G. The hurst phenomenon in hydrology[J]. Environmental research,engineering and management,2003,3(25):16-20.
[32]CERVANTES-DE LA TORRE F,GONZáLEZ-TREJO J I,REAL-PAMIREZ C A,et al. Fractal dimension algorithms and their application to time series associated with natural phenomena[C]//Journal of Physics:Conferences Series. IOP Publishing,2013,475. doi:10.1088/1742-6596/475/1/012002.
[33]ZHOU Y,TANG G,YANG X,et al. Positive and negative terrains on northern Shaanxi Loess Plateau[J]. Journal of geogra-phical sciences,2010,20(1):64-76.
[34]Editorial Board of the People’s Republic of China Landform Atlas. Geomorphological Atlas of the People’s Republic of China(1:1 000 000)[M]. Beijing:Science Press,2009:125-128.

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Last Update: 2019-12-31