BAYESIAN MODELS OF FORECASTED TIME SERIES1

Bayesian Processor of Forecasts (BPF) combines a prior distribution, which describes the natural uncertainty about the realization of a hydrologic process, with a likelihood function, which describes the uncertainty in categorical forecasts of that process, and outputs a posterior distribution of the process, conditional upon the forecasts. The posterior distribution provides a means of incorporating uncertain forecasts into optimal decision models. We present fundamentals of building BPF for time series. They include a general formulation, stochastic independence assumptions and their interpretation, computationally tractable models for forecasts of an independent process and a first-order Markov process, and parametric representations for normal-linear processes. An example is shown of an application to the annual time series of seasonal snowmelt runoff volume forecasts.     

CALCULATION OF NONLINEAR CONFIDENCE AND PREDICTION INTERVALS FOR GROUND-WATER FLOW MODELS1

ABSTRACT: A method is derived to efficiently compute nonlinear confidence and prediction intervals on any function of parameters derived as output from a mathematical model of a physical system. The method is applied to the problem of obtaining confidence and prediction intervals for manually-calibrated ground-water flow models. To obtain confidence and prediction intervals resulting from uncertainties in parameters, the calibrated model and information on extreme ranges and ordering of the model parameters within one or more independent groups are required. If random errors in the dependent variable are present in addition to uncertainties in parameters, then calculation of prediction intervals also requires information on the extreme range of error expected. A simple Monte Carlo method is used to compute the quantiles necessary to establish probability levels for the confidence and prediction intervals. Application of the method to a hypothetical example showed that includsion of random errors in the dependent variable in addition to uncertainties in parameters can considerably widen the prediction intervals.     

AN EXAMINATION OF THE MECHANISMS CONTROLLING GROUNDWATER GRADIENTS IN HYPER-ARID REGIONAL SEDIMENTARY BASINS1

ABSTRACT: Although evidence of modern recharge in the North African and Arabian sedimentary basin aquifers exists, it is difficult to determine the volume of recharge. Also, from the evidence of regional groundwater gradients, the flow within the aquifers seems to be appreciably greater than one would intuitively expect. A hypotehtical model embodying the characteristics of the aquifers has been used to investigate the likely significance of various possible flow mechanisms. It is shown that while dewatering in the unconfined area can possibly contribute to flows for a considerable period of time, the maintenance of water levels in the unconfined zone must be the result of modern recharge. It is also shown that recharge depths of less than 10 mm per annum are sufficient given suitable aquifer parameters. Results for various combinations of aquifer parameters and configurations are given, including layered aquifers and the effects of restricted oufflows. Comparisons are made using a “bench mark” example. The work indicates that there is little point in carrying out conventional hydrological balance studies in hyper-arid areas and that, instead, more emphasis should be placed upon good groundwater hydrographic data and modeling.     

Problems with using overlay mapping for planning and their implications for geographic information systems

As part of the planning process, maps of natural factors are often superimposed in order to identify areas which are suitable or unsuitable for a particular type of resource management. Overlay maps may also be used to identify analysis areas for predictive modeling of resource productivity and ecological response to management. Current interest in applying computer-assisted mapping technology to making overlay maps is drawing attention to geographic information systems for this purpose. The resultant maps, however, may be so inaccurate or unable to capture significant units of productivity and ecological response that they could lead to imperfect or false conclusions. Recommendations are made on how to proceed in light of these problems.     

微波辐射作用下人体热调节的数值模拟

探讨了微波辐射的致热生物效应，研究了微波辐射与人体热调节的关系，建立了考虑微波辐射致热效应的人体热调节系统模型。采用数值模拟方法能方便地定量分析微波辐射的致热生物效应。     

Fuzzy数学在人－机－环境系统工程研究中的应用

综述了模糊数学在航天人机环境系统工程中的应用和发展。内容包括急性缺氧反应综合评定，人机系统中的控制模型，通风服研制和鉴定以及人体。心脏功能评价等研究领域中模糊数学的应用方法和作用。其研究方法对于一般人机工程的建模和分析具有积极意义。     

易燃易爆重大危险源安全监测系统校验的等周期数学模型

按照校验费和损失费最小以及有效度最大的原则分别给出了安全监测系统校验的等周期模型。当安全监测系统的无故障工作时间服从威布尔分布时，给出了模型的解法。     

由三个地震模式讨论1995年日本阪神大震的预报问题

本文由我们已往提出的三个地震模式讨论了１９９５年日本阪神大震（Ｍ７．２）的预报问题。这些模式是立交模式、组合模式和调制模式。此外还用柯里奥利力（Ｃｏｒｒｉｏｌｉ）的效应讨论了主震３年后最强余震的预报。     

泥石流突变模型

本文在崔鹏的泥石流实验工作的基础上，用柘扑变换的方法建立了一个泥石流突变模型；并分析了泥石流的突变条件和机制；从理论上指出了防治泥石流发生和减轻泥石流灾害的措施，这在设计防治泥石流工程上将具有指导意义。     

灰色系统方法在城市生活垃圾量预测中的应用

利用灰色关联分析方法分析了影响城市生活垃圾量的因素，建立了生活垃圾量的ＧＭ（１，１）预测模型，预测了未来的城市生活垃圾量。该法具有较高的精度，简便，可行。