Single and Joint Multifractal Analysis of Soil Particle Size Distributions

作     者：LI Yi LI Min R. HORTON 

作者机构：Northwest Agriculture and Forestry Sci-Tech University Yangling 712100 (China) Department of Soil Science University of Saskatchewan Saskatoon SK STN 5A8 (Canada) Department of Agronomy Iowa State University Ames IA 50011 (USA) 

出 版 物：《Pedosphere》 (土壤圈（英文版）)

年 卷 期：2011年第21卷第1期

页      面：75-83页

核心收录：

学科分类：0711[理学-系统科学] 0809[工学-电子科学与技术（可授工学、理学学位）] 07[理学] 070205[理学-凝聚态物理] 08[工学] 080401[工学-精密仪器及机械] 0804[工学-仪器科学与技术] 080402[工学-测试计量技术及仪器] 0805[工学-材料科学与工程（可授工学、理学学位）] 080502[工学-材料学] 0702[理学-物理学] 

基　　金：Supported by the National Natural Science Foundation of China (No. 50709028) the Basic Foundation for Scientific Researchof Northwest Agriculture and Forestry Sci-Tech University,China (No. QN2009087) 

主　　题：distribution probability generalized dimensions laser diffractometry scaling singularity strength 

摘      要：It is noted that there has been little research to compare volume-based and number-based soil particle size distributions （PSDs）. Our objectives were to characterize the scaling properties and the possible connections between volume-based and number-based PSDs by applying single and joint multifractal analysis. Twelve soil samples were taken from selected sites in Northwest China and their PSDs were analyzed using laser diffractometry. The results indicated that the volume-based PSDs of all 12 samples and the number-based PSDs of 4 samples had multifractal scalings for moment order -6 〈 q 〈： 6. Some empirical relationships were identified between the extreme probability values, maximum probability （Pmax）, minimum probability （Pmin）, and Pmax/Pmin, and the multifractal indices, the difference and the ratio of generalized dimensions at q = 0 and 1 （Do - D1 and D1/Do）, maximum and minimum singularity strength （αmax and OZmin） and their difference （αmax - αmin, spectrum width）, and asymmetric index （RD）. An increase in Pmax generally resulted in corresponding increases of Do - D1, αmax, αmax - αmin, and RD, which indicated that a large Pmax increased the multifractality of a distribution. Joint multifractal analysis showed that there was significant correlation between the scaling indices of volume-based and number-based PSDs. The multifractality indices indicated that for a given soil, the volume-based PSD was more homogeneous than the number-based PSD, and more likely to display monofractal rather than multifractal scaling.