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黄河下游河相关系与平滩流量特征关系的随机演化模拟
引用本文:宋晓龙,钟德钰,王光谦.黄河下游河相关系与平滩流量特征关系的随机演化模拟[J].地理学报(英文版),2020,30(5):843-864.
作者姓名:宋晓龙  钟德钰  王光谦
作者单位:State Key Laboratory of Hydro-science and Engineering;State Key Laboratory of Hydraulic Engineering Simulation and Safety
基金项目:National Key Research and Development Program of China, No.2017YFC0404303
摘    要:Extreme weather is an important noise factor in affecting dynamic access to river morphology information.The response characteristics of river channel on climate disturbances draw us to develop a method to investigate the dynamic evolution of bankfull channel geometries(including the hydraulic geometry variables and bankfull discharges)with stochastic differential equations in this study.Three different forms of random inputs,including single Gaussian white noise and compound Gaussian/Fractional white noise plus Poisson noise,are explored respectively on the basis of the classical deterministic models.The model parameters are consistently estimated by applying a composite nonparametric maximum likelihood estimation(MLE)method.Results of the model application in the Lower Yellow River reveal the potential responses of bankfull channel geometries to climate disturbances in a probabilistic way,and,the calculated average trends mainly run to synchronize with the measured values.Comparisons among the three models confirm the advantage of Fractional jump-diffusion model,and through further discussion,stream power based on such a model is concluded as a better systematic measure of river dynamics.The proposed method helps to offer an effective tool for analyzing fluvial relationships and improves the ability of crisis management of river system under varying environment conditions.

关 键 词:stochastic  differential  equation  bankfull  channel  geometry  RIVER  system  EXTREME  WEATHER  Lower  YELLOW  RIVER
收稿时间:2019-02-28

Simulation on the stochastic evolution of hydraulic geometry relationships with the stochastic changing bankfull discharges in the Lower Yellow River
SONG Xiaolong,ZHONG Deyu,WANG Guangqian.Simulation on the stochastic evolution of hydraulic geometry relationships with the stochastic changing bankfull discharges in the Lower Yellow River[J].Journal of Geographical Sciences,2020,30(5):843-864.
Authors:SONG Xiaolong  ZHONG Deyu  WANG Guangqian
Institution:(State Key Laboratory of Hydro-science and Engineering,Tsinghua University,Beijing 100084,China;State Key Laboratory of Hydraulic Engineering Simulation and Safety,Tianjin University,Tianjin 300072,China)
Abstract:Extreme weather is an important noise factor in affecting dynamic access to river morphology information. The response characteristics of river channel on climate disturbances draw us to develop a method to investigate the dynamic evolution of bankfull channel geometries(including the hydraulic geometry variables and bankfull discharges) with stochastic differential equations in this study. Three different forms of random inputs, including single Gaussian white noise and compound Gaussian/Fractional white noise plus Poisson noise, are explored respectively on the basis of the classical deterministic models. The model parameters are consistently estimated by applying a composite nonparametric maximum likelihood estimation(MLE) method. Results of the model application in the Lower Yellow River reveal the potential responses of bankfull channel geometries to climate disturbances in a probabilistic way, and, the calculated average trends mainly run to synchronize with the measured values. Comparisons among the three models confirm the advantage of Fractional jump-diffusion model, and through further discussion, stream power based on such a model is concluded as a better systematic measure of river dynamics. The proposed method helps to offer an effective tool for analyzing fluvial relationships and improves the ability of crisis management of river system under varying environment conditions.
Keywords:stochastic differential equation  bankfull channel geometry  river system  extreme weather  Lower Yellow River  
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