近年來,中國陜北黃土高原因其較高的研究價值而受到學術界的廣泛關注,已出現(xiàn)了數(shù)種黃土高原區(qū)域地貌分類方法。有些研究應用分形維數(shù)（FD）來描述該地區(qū)地貌特征,但是,并未見基于分維數(shù)的區(qū)域地貌分類方法。此外,現(xiàn)有研究也未考慮到分維特征在土壤侵蝕潛力制圖中的作用。因此,本研究主要目標如下:（1）探索分形維數(shù)描述黃土高原地形特征的能力;（2）提出基于分形維數(shù)的地貌分區(qū)方法和陜北黃土高原土壤侵蝕潛力制圖。在系統(tǒng)總結前人方法基礎上,本文采用了盒子計數(shù)法（BCM）、Higuchi法（HIG）和Hurst法（HUR）等三種估算分形維數(shù)（FD）的方法。在應用這些方法時,發(fā)現(xiàn)HIG方法計算結果也具有較好的一致性,但是由于其對輸入數(shù)據(jù)中的噪聲過于敏感在某些情況下出現(xiàn)較大的差異。HUR方法計算的分維值普遍偏高,其結果不可靠。BCM方法計算的結果在一致性和準確性方面最可靠,因此采用該方法計算分維數(shù)并進行分析。本研究使用層次分析法（AHP）進行土壤侵蝕潛力制圖（EPM）。采用一致性比率（CR）和平均相對誤差（MER）評價了對數(shù)、線性、根方、逆線性、平衡n、冪、幾何和自適應性等八個不同計算權值的方法。其中,逆線性方法... 

【文章來源】：南京師范大學江蘇省211工程院校

【文章頁數(shù)】：131 頁

【學位級別】：博士

【文章目錄】：
摘要
Abstract
List of Abbreviations
1.Introduction
    1.1 Background
    1.2 Justification
    1.3 Objectives
    1.4 Limitations of the Study
    1.5 Dissertation Outline
2.Literature Review
    2.1 Introduction
    2.2 Loess Plateau in Northern Shaanxi Province
        2.2.1 Climate and Climatological Zoning
        2.2.2 Geology,Soils and Geomorphology
        2.2.3 Vegetation
        2.2.4 Overview of Erosion in Loess Plateau
    2.3 Digital Terrain Analysis and Landscape Properties
    2.4 Derivation of Fractal Dimension(FD)from Digital Elevation Models
        2.4.1 Fractals
        2.4.2 Fractals and Self similarity
        2.4.3 Fractal Dimension(FD)
            (1)Variogram method(VM)
            (2)Divider method(DM)
            (3)Box counting method(BCM)
            (4)The Power Spectral Method(PSM)
    2.5 Comparison of fractal methods
    2.6 Summary
3.Research Methodology
    3.1 Introduction
    3.2 Study Area and Datasets
        3.2.1 ASTER Digital Elevation Model
        3.2.2 Study Area
        3.2.3 Loess Soils
        3.2.4 Hydrological Resources
        3.2.5 Small Catchment Areas
    3.3 Methods
        3.3.1 General Research Approach and Procedure
        3.3.2 Watershed Delineation
        3.3.3 Catchment Boundary Profile Derivation
        3.3.4 Estimation Fractal Dimension from Surface Terrain
        3.3.5 Fractal Dimension Estimation for Stream Networks
        3.3.6 Estimation of Fractals from CBP Lines
            (1)Hurst Exponent
            (2)Higuchi’s Algorithm
        3.3.7 Erosion potential mapping
    3.4 Summary
4.Fractal dimension features from Catchment Boundary Profile(CBP)of small watersheds
    4.1 Introduction
    4.2 Catchment Boundary Profile(CBP)and its FD
        4.2.1 FD Methods Applicability
        4.2.2 Elevation effect
        4.2.3 Bifurcation effect on the CBP
    4.3 Summary
5.Fractal dimension for terrain features of the landforms
    5.1 Introduction
    5.2 FD of terrain surfaces
        5.2.1 Spatial pattern of FD in North Shaan
        5.2.2 FD in North Shaanxi with varied grid size
    5.3 Fractal Dimension of Stream Networks
        5.3.1 Comparison of FD in different typical catchments
        5.3.2 Relationships between FD from CBP and Stream Networks
    5.4 Summary
6.Erosion Potential Mapping
    6.1 Introduction
    6.2 Parameters for EPM derivation
    6.3 AHP Approach and weights
    6.4 Erosion Potential Map(EPM)
    6.5 Summary
7.General Discussions and Conclusions
    7.1 General Discussions
    7.2 Conclusions
    7.3 Future Work
8.Appendices
    8.1 Matlab Codes
        8.1.1 Box counting method
        8.1.2 Detrending datasets
        8.1.3 Hurst Exponent
        8.1.4 Extract Profile Graphs and Calculate Fractal Dimension
        8.1.5 Vector of Hurst Profiles
        8.1.6 Higuchi Exponent Calculation
        8.1.7 Box counting for Digital Elevation Model(DEM)
        8.1.8 DEM Viewer
        8.1.9 Grid FD algorithm
    8.2 CBP for Sub-watersheds
References
List of Academic Publications& Scientific Meetings and Activities During Study Period
    Academic Papers
    Scientific Meetings
    Scientific Contributions and Activities
Acknowledgement


【參考文獻】：
期刊論文
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