globalchange  > 气候变化与战略
CSCD记录号: CSCD:5642051
论文题名:
Bayes统计模型在出山月均径流极小值研究中的应用
其他题名: A Bayesian Analysis of Monthly Average Runoff Minima in Mountain Areas
作者: 刘友存1; 霍雪丽1; 郝永红1; 崔玉环2; 韩添丁3; 沈永平3; 王建3
刊名: 山地学报
ISSN: 1008-2786
出版年: 2015
卷: 33, 期:4, 页码:155-161
语种: 中文
中文关键词: 径流极小值 ; 广义Pareto分布 ; Markov Chain Monte Carlo (MCMC)方法 ; 乌鲁木齐河
英文关键词: runoff minima ; GPD model ; MCMC method ; Urumqi River
WOS学科分类: GEOSCIENCES MULTIDISCIPLINARY
WOS研究方向: Geology
中文摘要: 数理统计方法在解决全球气候变化引起的洪水、干旱等极端水文事件中获得了越来越广泛的应用。选取乌鲁木齐河19582006年枯水期的月平均出山径流资料,采用广义Pareto极值分布(GPD)模型,并运用Bayes统计模型估计GPD的参数,最后对乌鲁木齐河枯水期月均出山径流极小值变化进行了估算。研究表明: 1. 参数的初始值、先验分布的均值分别取其极大似然估计值,先验分布的标准差取较小值,随机游走项分布的标准差取较大值,这种方法能使Markov链快速收敛; 2. 基于Bayes参数估计值的GPD在拟合月均径流量的极小值时具有很高的精确度,与传统的极大似然估计方法相比,Bayes统计模型的推断效果较好; 3. 乌鲁木齐河重现期为10 a、25 a、50 a和100 a的枯水期月均径流极小值分别约为0.60 m~3 /s、0.44 m~3 /s、0.32 m~3 /s和0.20 m~3 /s; 4.100 a重现水平的95%置信区间的下限为-0.238 m~3 /s,说明当乌鲁木齐河在枯水期遇上百年一遇的极小值时,有可能出现断流的情况。
英文摘要: Global warming has intensified hydrological extreme events and resulted in disasters around the world. For disaster management and adaption of extreme events,it is essential to improve the accuracy of extreme value statistical models. In this study,BayesTheorem is introduced to estimate parameters in the Generalized Pareto Distribution (GPD) model which is applied to simulate the distribution of monthly average runoff minima during dry periods in mountain areas of Urumqi River. BayesTheorem treats parameters as random variables and provides machinery way to convert the prior distribution of parameters into a posterior distribution. Statistical inferences based on posterior distribution can provide a more comprehensive representation of the parameters. An improvedMarkov Chain Monte Carlo (MCMC) method,which can solve high-dimensional integral computation in the Bayes equation,is used to generate parameter simulations from the posterior distribution. Model diagnosis plots are made to guarantee the fitted GPD model is appropriate. Then based on the GPD model with Bayesian parameter estimates, monthly average minima corresponding to different return periods can be calculated. The results show that the improved MCMC method is able to make Markov chains converge at a high speed. Compared with the GPD model based on maximum likelihood parameter estimates,the GPD model based on Bayesian parameter estimates obtain more accurate estimations of minimum monthly average runoff. Moreover,the monthly average runoff minima in dry periods corresponding to 10 a,25 a,50 a and 100 a return periods are 0.60 m~3 /s,0.44 m~3 /s,0.32 m~3 / s and 0.20 m~3 /s respectively. The lower boundary of 95% confidence interval of 100a return level is-0.238 m~3 / s,which implies that Urumqi River is likely to cease when 100 a return level occurs in dry periods.
资源类型: 期刊论文
标识符: http://119.78.100.158/handle/2HF3EXSE/149705
Appears in Collections:气候变化与战略

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作者单位: 1.天津师范大学, 天津市水资源与水环境重点实验室, 天津 300387, 中国
2.安徽农业大学理学院, 合肥, 安徽 230036, 中国
3.中国科学院寒区旱区环境与工程研究所, 兰州, 甘肃 730000, 中国

Recommended Citation:
刘友存,霍雪丽,郝永红,等. Bayes统计模型在出山月均径流极小值研究中的应用[J]. 山地学报,2015-01-01,33(4):155-161
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