三水源新安江模型参数不确定性分析PAM算法

程春田,李向阳

中国工程科学 ›› 2007, Vol. 9 ›› Issue (9) : 47 -51.

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中国工程科学 ›› 2007, Vol. 9 ›› Issue (9) : 47 -51.

三水源新安江模型参数不确定性分析PAM算法

    程春田、李向阳

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A Parallel Adaptive Metropolis Algorithm for Uncertainty

    Cheng Chuntian、Li Xiangyang

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摘要

针对水文模型参数不确定性分析常用方法 收敛速度缓慢,容易陷入参数空间局部最优区域等 问题,提出了PAM (parallel adaptive metropolis) 算法;对三水源新安江模型参数不确定性进行分析 研究。实例研究表明显著提高了计算速度和求解质 量,参数后验分布结果为区间预报提供了条件。

Abstract

Markov Chain Monte Carlo (MCMC) methods,  which are popular for estimating parameters uncertainty of hydrologic models,  generally converge slowly,  and are easy to get stuck in a local optimized region in the parametric space during uncertainty assessment of hydrologic model parameters.  In this paper the Parallel Adaptive Metropolis (PAM) algorithm is presented to access the parameters uncertainty of hydrologic models.  The PAM algorithm provides an adaptive MCMC sampler to estimate the posterior probability distribution of parameters under Bayesian framework.  The performance of the PAM algorithm is greatly improved in the manner of parallel computing.  The PAM algorithm is applied to assess the parameter uncertainty of Xinanjiang model using hydrologic data from Shuangpai Reservoir.  The case study demonstrates that there is considerable uncertainty about the Xinanjiang model parameters.  The hydrograph prediction uncertainty ranges associated with the posterior distribution of the parameters estimates can bracket the observed flows well,  but not large,  indicating that the method is feasible.

关键词

水文模型 / 参数不确定性分析 / MCMC / PAM / 并行计算

Key words

hydrologic model / uncertainty assessment / MCMC / PAM / parallel computing

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三水源新安江模型参数不确定性分析PAM算法[J]. 中国工程科学, 2007, 9(9): 47-51 DOI:

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