Testing a statistical curve‐fitting procedure for quantifying sediment populations within multi‐modal particle‐size distributions     

John Leys  Grant McTainsh  Terry Koen  Brian Mooney  Craig Strong 《地球表面变化过程与地形》2005,30(5):579-590

This paper describes a series of tests designed to evaluate the capacity of a personal computer (PC) based statistical curve‐fitting program called MIX to quantify composite populations within multi‐modal particle‐size distributions. Three natural soil samples were analysed by a Coulter Multisizer, and their particle‐size distributions analysed using MIX software to identify the modes, standard deviations and proportions of their composite populations. The particle‐size distributions of the three natural soil samples were then numerically combined in equal proportions using a spreadsheet program to create synthetic particle‐size distributions of known populations. MIX was then tested on the synthetic particle‐size distributions to see if the modes and proportions it identified were similar to those modes and proportions known to characterize the synthetic particle‐size distributions. The main outcome is that MIX can very accurately describe the modal particle size and proportions of the major composite populations within a particle‐size distribution. However MIX has difficulty in identifying small populations (those contributing <10 per cent of a total particle‐size distribution), particularly when they are located in the central sections of particle‐size distributions, overlain by larger populations, or when positioned in the fine tails of distributions. Despite these minor shortcomings, MIX is a valuable tool for the examination and interpretation of particle‐size data. Copyright © 2005 John Wiley & Sons, Ltd.  相似文献   

基于雷达资料的定量降水预报外推算法试验     

苏华英  曾莉萍  罗乃兴  王国松 《沙漠与绿洲气象(新疆气象)》2020,14(5):27-35

摘要：目前贵州在短时临近降水预报客观算法方面研究匮乏，而短时强降水常常给贵州造成严重的洪涝灾害和地质灾害。将短时临近降水预报应用于气象防灾减灾、电网输电线路安全预警、水利防洪自动化方面是未来重要的研究应用方向。本文基于灾害天气短时临近系统（Severe Weather Automatic Nowcast System，SWAN）的定量降水预报(QPF)产品进行0～2小时QPF外推试验研究。利用贵州省地面自动站数据、SWAN 输出的1h-QPF产品、SWAN 1h定量降水估测(QPE)产品。选取2018年3次典型暴雨个例进行试验，采用融合订正技术，利用相似离度算法对降水强度位相进行调整、Weibull分布算法对降水极值分布进行订正、改进后的交叉相关法(Improved Cross-correlation Extrapolation Method，COTREC)进行降水外推预报。通过主客观检验对比，初步说明基于Weibull分布算法的降水极值订正对降水极值分布有很好的模拟效果。融合订正外推的贵州省短时临近定量降水预报产品（Nowcasting precipitation forecast of GuiZhou，下文简写为GZ_NPF）在大于5mm以上量级降水的TS检验中评分更高。GZ_NPF的空报率明显降低，但空报率降低的代价是漏报率相对提高。GZ_NPF总的相对误差减小，格点总降水量与实况总降水量更为接近。试验说明新的融合订正外推算法提高了0～2h短时临近降水的预报能力。  相似文献   

Estimation of Scalar Source/Sink Distributions in Plant Canopies Using Lagrangian Dispersion Analysis: Corrections for Atmospheric Stability and Comparison with a Multilayer Canopy Model   总被引：5，自引：0，他引：5  

R. Leuning 《Boundary-Layer Meteorology》2000,96(1-2):293-314

Source/sink distributions of heat, water vapour andCO₂ within a rice canopy were inferred using aninverse Lagrangian dispersion analysis and measuredmean profiles of temperature, specific humidity andCO₂ mixing ratio. Monin–Obukhov similarity theorywas used to account for the effects of atmosphericstability on _w(z), the standard deviation ofvertical velocity and _L(z), the Lagrangian timescale of the turbulence. Classical surface layer scaling was applied in the inertial sublayer (z > z_ruf)using the similarity parameter = (z - d)/L, where z is height above ground, d is the zero plane displacementheight for momentum, L is the Obukhov length,and z_ruf 2.3h_c, where h_c iscanopy height. A single length scale h_c, was usedfor the stability parameter 3 = h_c/L in the height range 0.25 < z/h_c < 2.5. This choice is justified by mixing layer theory, which shows that within the roughness sublayer there is one dominant turbulence length scaledetermined by the degree of inflection in the windprofile at the canopy top. In the absence of theoretical or experimental evidence for guidance,standard Monin–Obukhov similarity functions, with = h_c/L, were used to calculate the stabilitydependence of _w(z) and _L(z) in the roughness sublayer. For z/h_c < 0.25 the turbulence length and time scales are influenced by the presence of the lowersurface, and stability effects are minimal. With theseassumptions there was excellent agreement between eddycovariance flux measurements and deductions from theinverse Lagrangian analysis. Stability correctionswere particularly necessary for night time fluxes whenthe atmosphere was stably stratified.The inverse Lagrangian analysis provides a useful toolfor testing and refining multilayer canopy models usedto predict radiation absorption, energy partitioningand CO₂ exchanges within the canopy and at thesoil surface. Comparison of model predictions withsource strengths deduced from the inverse analysisgave good results. Observed discrepancies may be dueto incorrect specification of the turbulent timescales and vertical velocity fluctuations close to theground. Further investigation of turbulencecharacteristics within plant canopies is required toresolve these issues.  相似文献   

Statistical estimation of mineral age by K-Ar method     

A. B. Vistelius  E. R. Drubetzkoy  A. V. Faas 《Mathematical Geology》1989,21(8):905-919

Statistical estimation of age of⁴⁰Ar/⁴⁰K ratios may be considered a result of convolution of uniform and normal distributions with different weights for different minerals. Data from Gul'shad Massif (Nearbalkhash, Kazakhstan, USSR) indicate that⁴⁰Ar/⁴⁰K ratios reflecting the intensity of geochemical processes can be resolved using convolutions. Loss of⁴⁰Ar in bioties is shown whereas hornblende retained the original content of⁴⁰Ar throughout the geological history of the massif. Results demonstrate that different estimation methods must be used for different minerals and different rocks when radiometric ages are employed for dating.  相似文献   

基于Weibull分布的红砂岩颗粒崩解破碎演化规律     

张宗堂  高文华  张志敏  唐骁宇  邬俊 《岩土力学》2020,41(3):877-885

红砂岩在我国分布广泛，由于含水率的变化使其崩解破碎十分显著。采用湖南株洲地区的红砂岩样，进行室内静态与扰动崩解试验。基于Weibull分布建立了红砂岩颗粒崩解破碎级配曲线演化模型，分析了模型参数λ与k的意义。分析表明，Weibull分布参数λ与k的大小及变化速率体现了红砂岩颗粒崩解破碎的演化过程。在建立模型的基础上，求得了相对崩解比的计算公式，并验证了计算公式的正确性。依据试验结果与模型计算值，讨论了耐崩解性指数与崩解比的异同及所采用试验方法的不同对试验结果造成的影响。在已有成果的基础上，验证了Weibull分布模型应用于岩石颗粒崩解破碎演化过程的可行性。  相似文献   

Two-dimensional modelling of some CFC replacement compounds     

Oliver Wild  Oliver V. Rattigan  Roderic L. Jones  John A. Pyle  R. Anthony Cox 《Journal of Atmospheric Chemistry》1996,25(2):167-199

The Cambridge 2-D Eulerian model has been used to study the potential atmospheric distributions and lifetimes of a number of CFC replacement compounds and their degradation products. The study has focused on HFC 134a and HCFCs 123, 141b and 142b and the major products formed by their atmospheric degradation. The loss of these compounds and their products by hydroxyl radical attack, photolysis and in-cloud hydrolysis have been investigated. The study has shown that HCFCs 141b and 142b have sufficiently long lifetimes to enter the stratosphere in significant quantities, where degradation leads to an increase in the total stratospheric chlorine concentration. The study has also highlighted areas where further experimental work would be valuable, in particular characterisation of the product channels for the degradation reactions and determination of the removal rates of the products in the aqueous phase.  相似文献   

Hypotheses for earthquake occurrences     

Naveen  P. S. Moharir  V. K. Gaur 《Journal of Earth System Science》1983,92(3):261-281

Very little work has been done in generating alternatives to the Poisson process model. The work reported here deals with alternatives to the Poisson process model for the earthquakes and checks them using empirical data and the statistical hypothesis testing apparatus. The strategy used here for generating hypotheses is to compound the Poisson process. The parameter of the Poisson process is replaced by a random variable having prescribed density function. The density functions used are gamma, chi and extended (gamma/chi). The original distribution is then averaged out with respect to these density functions. For the compound Poisson processes the waiting time distributions for the future events are derived. As the parameters for the various statistical models for earthquake occurrences are not known, the problem is basically of composite hypothesis testing. One way of designing a test is to estimate these parameters and use them as true values. Momentmatching is used here to estimate the parameters. The results of hypothesis testing using data from Hindukush and North East India are presented.  相似文献   

Fractals and the accuracy of geographical measures   总被引：20，自引：0，他引：20  

Michael F. Goodchild 《Mathematical Geology》1980,12(2):85-98

The problems of estimating line length, area, and point characteristics in the earth sciences have generated substantial but independent literatures. All three problems are of increasing concern given the current interest in digital capture, processing, and the storage of geographically referenced data. In the case of qualitative maps, all three are shown to be related to Mandelbrot's fractional dimension D (Mandelbrot, 1977) which allows the dependence of each on sampling density to be predicted. The general results are confirmed by simulation on surfaces of constant D. They also imply that certain improvements can be made in a number of previously proposed methods.  相似文献   

Statistical distribution of natural fractures and the possible physical generating mechanism     

F. K. Boadu  L. T. Long 《Pure and Applied Geophysics》1994,142(2):273-293

We have fitted field measurements of fracture spacings (from the vicinity of Lake Strom Thurmond, Georgia, U.S.A.) to the Weibull, Schuhmann and fractal distributions. The fracture spacings follow a fractal and Weibull distribution which implies that they were formed as a result of a repetitive fragmentation process. The limited variation of the fracture density with orientation in the study area suggests that the stress distribution generating these fractures may be uniform.  相似文献   

Comparative evaluation of Poisson partial duration models for mixed flood populations     

Senarath T. Ekanayake  J. F. Cruise 《Stochastic Hydrology and Hydraulics》1994,8(3):207-218

Simple homogeneous formulations of two extreme value partial duration flood models are compared to more sophisticated compound formulations in terms of asymptotic performance of quantile estimates. The compound model formulations were developed to model flood series resulting from mixed climatological processes. It was found that only in the case of marked nonhomogeneity in the data samples did the compound formulation of the models offer significant advantages in terms of variance of quantile estimates. However, the estimates from the homogeneous model were significantly biased in the negative direction. This negative bias of quantile estimates from the simple model was even more pronounced when the more sophisticated Weibull model was used as the base.  相似文献