Assessing uncertainties in a conceptual water balance model using Bayesian methodology / Estimation bayésienne des incertitudes au sein d’une modélisation conceptuelle de bilan hydrologique

Abstract

Abstract The aim of this study was to estimate the uncertainties in the streamflow simulated by a rainfall–runoff model. Two sources of uncertainties in hydrological modelling were considered: the uncertainties in model parameters and those in model structure. The uncertainties were calculated by Bayesian statistics, and the Metropolis-Hastings algorithm was used to simulate the posterior parameter distribution. The parameter uncertainty calculated by the Metropolis-Hastings algorithm was compared to maximum likelihood estimates which assume that both the parameters and model residuals are normally distributed. The study was performed using the model WASMOD on 25 basins in central Sweden. Confidence intervals in the simulated discharge due to the parameter uncertainty and the total uncertainty were calculated. The results indicate that (a) the Metropolis-Hastings algorithm and the maximum likelihood method give almost identical estimates concerning the parameter uncertainty, and (b) the uncertainties in the simulated streamflow due to the parameter uncertainty are less important than uncertainties originating from other sources for this simple model with fewer parameters.     

Preliminary results of seismic hazard assessment in the Sannio-Matese area of Southern Italy

The seismic hazard in the Sannio-Matese area has been worked out by a modification of the McGuire (1976) computing programme, taking into account the influence of nine potential seismic source zones.The method uses truncated-quadratic intensity-frequency distribution and azimuth-dependent intensity attenuation derived from isoseismal maps for each of the seismogenetic sources. A new modification has been introduced to take into account different decay of the intensity in the near (to VIII degree) and far (from VIII degree) field.Different assumptions about maximum possible intensities and truncation of intensity-frequency laws are used to evaluate the effects of the uncertainties on the computed hazard at high intensities. Intensities associated with different level of annual probability are computed for five test sites in the considered area. Maps displaying the expected intensity for a mean return period of 500 years (pa 0.002) are presented and compared with observed intensities.Presented at the XXIst General Assembly of the European Seismological Commission, Symposium on Methods of Seismic Hazard Assessment in Europe, Sofia, 23–27 August 1988.     

Statistical estimation of a shock center: Slate Islands astrobleme

Statistical models are proposed for the distribution of directions in three dimensions that are thought to point toward a single source. These models are based on the Fisher distribution. The method of maximum likelihood is used to obtain an estimate of position of the source and to provide corre-sponding confidence regions. When applied to shatter cone data from the Slate Islands, northern Lake Superior, the method yields estimates comparable with those obtained by Stesky and Halls (1982), as well as statistically valid confidence regions.     

独立参数降雹条件概率法识别雹云之探讨

利用江苏盐城和福建雷达回波资料，探空资料，天气实况，对独立参数降雹条件概率法识别雹云的应用范围，零度层高度对识别准确率的影响以及如何选取区分水平高的参数等问题进行了探讨，得出一些有意义的结论，有一定的实用价值。     

What has seismic missed?

The relative efficiencies of alternative geometric patterns of both discrete borehole and continuous grid line search have been extensively discussed in the mathematical geology literature. However, an equally important problem has received virtually no attention: How to use a sample of properties of geologic anomalies detected by grid line search of a region to estimate systematically both the number and size distribution of geologic anomalies missed by the search. We show how estimation methods developed in the sample survey design literature can be adapted to this problem, and we apply these methods to data describing 94 anomalies identified by a seismic reconnaissance survey.     

重磁解释中健全的极大似然法及三维反演

本文介绍了JOAO.B.C.SILVA提出的重磁解释中健全的(Robust)极大似然反演方法的基本原理,讨论了重力二度体非线性几何参数的反演情况,并将该方法扩展到三维重、磁非线性几何参数反演中。重点讨论了场值中有较大随机干扰、有不同类型的地质噪音源影响下的反演结果。理论反演结果表明,该方法有比最小二乘反演方法更接近实际的解,从而提高了解的可靠性,对于重磁局部异常或孤立异常有较好的反演效果。     

南水北调中线工程交叉建筑物水毁风险分析

南水北调中线工程输水总干渠上需建数以百计的河渠交叉建筑物。总干渠经过地区为暴雨多发区，只要其中任一座遭遇特大洪水而失事，干渠供水将会受到影响。对这些交叉建筑物进行水毁风险分析，是此项工程规划、设计和运行管理的供输水风险评价和可靠度分析必不可少的组成部分。主要从水文风险要素的辨识入手，采用概率组合法，建立了整个总干渠洪水水毁风险计算的框架，并提出了二维复合事件的风险计算模型。所建模型巧妙地解决了各交     

月降水量的持续性分析

根据1951—1990年全国160站月降水量资料,通过计算相关系数、相关概率和持续性比,统计分析降水量的月际持续性特点.其结果可为月尺度降水的长期预报提供有关信息和相应的气候概况.     

山西地震带历史地震序列的统计分析

在工程地震工作中需要知道某地震带或某地区未来100年内的地震活动水平,以便适当选择历史地震的统计时段,从而得到和地震活动水平相适应的不同潜在震源区的各级地震的年平均发生率。 本文利用极值理论、最大熵原理、马尔可夫模型的方法、莫尔纳方法和伯努里模型方法计算了山西地震带未来100年内中强震的年平均发生率、平均重现期大于等于某级地震的个数和发震概率,计算结果表明,山西地震带未来百年内将发生≥6.0级地震3次,发震概率为0.94左右;将发生≥6.5级地震1—2次,发震概率为0.84左右;有可能发生≥7.0级地震,发震概率为0.53左右;发生≥7.5级地震的可能性不大,发震概率为0.32左右;发生≥8.0级地震的可能性很小,发震概率为0.15左右。