Study on Box-counting Dimension of Fractal River Networks

机译：分形河网的计箱维数研究

获取原文

获取原文并翻译 | 示例

页面导航

摘要
著录项
相似文献
相关主题

摘要

Fractal dimension of river networks has become a significant geomorphologic parameter for identifying hydrologic patterns. Several definitions for fractal dimension are used in hydrological literatures, among which the box-counting dimension via Digital Elevation Model (DEM) is widely applied. To explore the mathematical nature of box-counting method, three factors, I.e., confluence area for river networks extracting from DEM, and range and increment ratio of calculated box sizes, were selected for identifying their influence on the value of box-dimension. One real watershed, Chabagou Watershed, and one ideal watershed generated by iterative algorithm are selected for numerical experiments. The results suggest the following properties of box-dimension of river networks: it shows a power law asymptotic behavior for large confluence area; it has a logarithmic dependence for smaller confluence area; it is monotonic to the range of calculated box size while insensitive to the increment ratio of calculated box size. These relationships reveal the complexity of box-dimension of fractal river networks.

机译：河网的分形维数已成为识别水文模式的重要地貌参数。分形维数在水文学中有几种定义，其中基于数字高程模型（DEM）的计盒维数得到了广泛应用。为了探索盒算方法的数学性质，选择了三个因素，即从DEM中提取的河网汇合面积，以及计算出的盒大小的范围和增量比率，以确定它们对盒维值的影响。数值实验选择了一个真实的分水岭，Chabagou分水岭和一个通过迭代算法生成的理想分水岭。结果表明，河网箱形具有以下特性：在大汇流面积上表现出幂律渐近行为；对较小的汇合面积具有对数依赖性；它对计算得出的盒子尺寸范围是单调的，而对计算得出的盒子尺寸的增量比率不敏感。这些关系揭示了分形河网盒维的复杂性。

著录项

来源
《Flood Forecasting and Water Resources Assessment for IAHS(International Association of Hydrological Sciences)-PUB》|2006年|92-99|共8页
会议地点 Beijing(CN)
作者
Zhou Miao; Tian Fuqiang; Hu Heping;
展开▼
作者单位

Department of Hydraulic Engineering, Tsinghua University, Beijing 100084;

State Key Laboratory of Hydroscience and Engineering, Tsinghua University, Beijing, 100084;

展开▼
会议组织
原文格式 PDF
正文语种 eng
中图分类水资源调2查与水利规划;
关键词
fractal; box-counting dimension; river network; digital elevation model (DEM); power law;

机译：分形计盒尺寸；河网；数字高程模型（DEM）；幂律;

相似文献

外文文献
中文文献
专利

1. Box-counting dimensions of fractal interpolation surfaces derived from fractal interpolation functions [J] . Zhigang Feng, Xiuqing Sun Journal of Mathematical Analysis and Applications . 2014,第1期

机译：分形插值函数派生的分形插值曲面的盒数尺寸
2. Study on rolling bearing fault diagnosis approach based on improved generalized fractal box-counting dimension and adaptive gray relation algorithm: [J] . Yunpeng Cao, Yulong Ying, Jingchao Li, Advances in Mechanical Engineering . 2016,第10期

机译：基于改进的广义分形盒维和自适应灰关联算法的滚动轴承故障诊断方法研究：
3. Box-counting dimensions of generalised fractal nests [J] . Sini?a Mili?i? Chaos, Solitons and Fractals: Applications in Science and Engineering: An Interdisciplinary Journal of Nonlinear Science . 2018,第期

机译：盒子计数概述的分形巢的尺寸
4. Study on Box-counting Dimension of Fractal River Networks [C] . Zhou Miao, Tian Fuqiang, Hu Heping, International Symposium on Flood Forecasting and Water Resources Assessment for IAHS-PUB . 2006

机译：分形河流网络箱数尺寸研究
5. Algorithms for determination of embedding dimensions for nonlinear analysis of chaotic time series and a study of fractal dimensions and predictabilities of weather attractors over the Eastern United States. [D] . Gao, Shangzuo. 1996

机译：用于确定混沌时间序列非线性分析的嵌入维数的算法，以及美国东部天气吸引子的分形维数和可预测性的研究。
6. Analysis of Resting-State fMRI Topological Graph Theory Properties in Methamphetamine Drug Users Applying Box-Counting Fractal Dimension [O] . Meysam Siyah Mansoory, Mohammad Ali Oghabian, Amir Homayoun Jafari, 2017

机译：运用盒计数分形维数的甲基苯丙胺吸毒者的静息状态fMRI拓扑图理论性质分析
7. Fractals and fractal dimension of systems of blood vessels: An analogy between artery trees, river networks, and urban hierarchies [O] . Chen, Yanguang 2015

机译：血管系统的分形和分形维数：类比在动脉树，河网和城市等级之间

Study on Box-counting Dimension of Fractal River Networks

摘要

著录项

相似文献

相关主题

期刊订阅