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Improving the efficiency of Monte Carlo Bayesian calibration of hydrologic models via model pre-emption

机译:通过模型抢占提高水文模型的蒙特卡洛贝叶斯定标效率

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摘要

Bayesian inference via Markov Chain Monte Carlo (MCMC) sampling and sequential Monte Carlo (SMC) sampling are popular methods for uncertainty analysis in hydrological modelling. However, application of these methodologies can incur significant computational costs. This study investigated using model pre-emption for improving the computational efficiency of MCMC and SMC samplers in the context of hydrological modelling. The proposed pre-emption strategy facilitates early termination of low-likelihood simulations and results in reduction of unnecessary simulation time steps. The proposed approach is incorporated into two samplers and applied to the calibration of three rainfall-runoff models. Results show that overall pre-emption savings range from 5 to 21%. Furthermore, results indicate that pre-emption savings are greatest during the pre-convergence 'burn-in' period (i.e., between 8 and 39%) and decrease as the algorithms converge towards high likelihood regions of parameter space. The observed savings are achieved with absolutely no change in the posterior set of parameters.
机译:通过马尔可夫链蒙特卡洛(MCMC)采样和顺序蒙特卡洛(SMC)采样进行的贝叶斯推断是水文建模不确定性分析的常用方法。但是,这些方法的应用会产生大量的计算成本。这项研究调查了使用模型抢占来提高水文建模环境下的MCMC和SMC采样器的计算效率。拟议的抢占策略有助于尽早终止低可能性仿真,并减少不必要的仿真时间步长。所提出的方法被合并到两个采样器中,并应用于三个降雨径流模型的校准。结果表明,总的抢占节省量为5%到21%。此外,结果表明,在算法收敛到参数空间的高似然区域时,抢先节省在收敛前的“老化”期间最大(即在8%和39%之间),并且减少。所观察到的节省是在绝对不改变后验参数的情况下实现的。

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