Dependence of the sediment delivery ratio on scale and its fractal characteristics  

作　　者：Xiaoming Zhang Sihong Wu Wenhong Cao Jianchao Guan Zhaoyan Wang 

机构地区：[1]State Key Laboratory of Simulation and Regulation of Water Cycle in River Basin, China Institute of Water Resources and Hydropower Research, Beijing100048, China [2]National Center of Science and Technology Evaluation, Beijing 100081, China [3]China Institute of Water Resources and Hydropower Research, Beijing 100048, China

出　　处：《International Journal of Sediment Research》2015年第4期338-343,共6页国际泥沙研究（英文版）

基　　金：The study is supported by the National Natural Science Foundation of China （51379008 and 51209232）, the Open Research Fund of the State Key Lab of Simulation and Regulation of Water Cycle in River Basin （2014QN04）, the China Institute of Water Resources and Hydropower Research, and the Science and Technology Project of the Bureau of Water Resources of Jiangxi Province （KT201404）.

摘　　要：The sediment delivery ratio （SDR） is an indicator used to determine the capacity for eroded sediment to be delivered to the outlet of a particular basin. Based on systematic reviews of SDR studies in China and abroad during the last 50 years, this study analyzes whether the SDR has scale-dependent characteristics and discusses the fractal characteristics of the SDR. In addition, the SDR in various watersheds in China and abroad showed correlations with temporal and spatial scales, which means that the SDR depends on watershed scale. Moreover, the SDR can be quantitatively expressed and scaled using fractal dimension under certain temporal and spatial scales. Within a nested watershed, a proposed SDR scale transfer model was constructed using the SDR at a typical watershed unit scale with an area of approximately 1 km^2 （SDR＇） and a fractal dimension of the SDR at a nested watershed scale （D）. This research also points out that the study and calculation of the SDR cannot be correct without considering its scale dependence. It is a valid and useful approach to construct SDR scaling models by using fractal dimension, which could be an interesting research topic regarding SDR scaling in the future.The sediment delivery ratio （SDR） is an indicator used to determine the capacity for eroded sediment to be delivered to the outlet of a particular basin. Based on systematic reviews of SDR studies in China and abroad during the last 50 years, this study analyzes whether the SDR has scale-dependent characteristics and discusses the fractal characteristics of the SDR. In addition, the SDR in various watersheds in China and abroad showed correlations with temporal and spatial scales, which means that the SDR depends on watershed scale. Moreover, the SDR can be quantitatively expressed and scaled using fractal dimension under certain temporal and spatial scales. Within a nested watershed, a proposed SDR scale transfer model was constructed using the SDR at a typical watershed unit scale with an area of approximately 1 km^2 （SDR＇） and a fractal dimension of the SDR at a nested watershed scale （D）. This research also points out that the study and calculation of the SDR cannot be correct without considering its scale dependence. It is a valid and useful approach to construct SDR scaling models by using fractal dimension, which could be an interesting research topic regarding SDR scaling in the future.

关 键 词：Sediment delivery ratioSoil erosionSediment deliveryScaleTypical watershed unit 

分 类 号：U469.11[机械工程—车辆工程] X53[交通运输工程—载运工具运用工程]