面向稀疏散布数据集的时空Kriging优化     

杨明远  刘海砚  季晓林  郭文月  陈思雯 《地球信息科学学报》2018,20(4):505-514

时空Kriging法通过将变异函数向时空域进行扩展得到时空变异函数,有效地利用时空邻近的采样点综合进行插值,由于时空稀疏散布数据集具有单一时刻下样本点数量少以及时空分布不规律的特点,难以满足使用时空Kriging插值法的基本条件,导致插值精度不高,据此本文提出了优化方法：通过多时段叠置拟合空间变异函数的方法,综合利用时空邻域内的采样点以解决单一时刻下空间邻域内数量不足情况;控制时间变异对空间变异函数拟合的误差影响;采用积合式模型构建时空变异函数进行插值。最后使用Argo海温数据进行插值实验,在相同条件下与时空Kriging法以及时空权重法的交叉验证结果对比得出,该方法在保证拟合所需采样点数量要求的同时,有效削减了一般时空Kriging法中时间变异对空间变异函数拟合结果的干扰,插值结果的绝对误差均值从0.5降低至0.2以内,稳定性进一步增强,改善了时空Kriging法在稀疏散布数据条件下精度上的不足。  相似文献   

New distance measures: The route toward truly non-Gaussian geostatistics     

A. G. Journel 《Mathematical Geology》1988,20(4):459-475

The projection or minimum error norm algorithm does not require that the distance measure be a variogram. In non-Gaussian cases, the traditional variogram distance measure leading to minimization of an error variance offers no definite advantage. Other distance measures, more outlierresistant than the variogram, are proposed which fulfill the condition of the projection theorem. The resulting minimum error norms provide the same data configurations ranking as traditionally obtained from kriging variances. A case study based on actual digital terrain data is presented.This paper was presented by title at MGUS 87 Conference, Redwood City, California, 14 April 1987.  相似文献   

Fast sequential indicator simulation: Beyond reproduction of indicator variograms     

Jinchi Chu 《Mathematical Geology》1996,28(7):923-936

Sequential Indicator Simulation (SIS), although widely used, is relatively slow, and requires tedious inference of a large number of indicator variogram models. SIS is designed only to estimate class proportions and to reproduce indicator variogram models; the statistics of the continuous attribute being simulated,z-histogram and variogram, may be poorly reproduced. Several implementations of the SIS algorithm are proposed resulting in better reproduction of statistics yet with better CPU performance.  相似文献   

Indicator Kriging without Order Relation Violations   总被引：2，自引：1，他引：1  

Raimon Tolosana-Delgado  Vera Pawlowsky-Glahn  Juan-Jose Egozcue 《Mathematical Geosciences》2008,40(3):327-347

Indicator kriging (IK) is a spatial interpolation technique aimed at estimating the conditional cumulative distribution function (ccdf) of a variable at an unsampled location. Obtained results form a discrete approximation to this ccdf, and its corresponding discrete probability density function (cpdf) should be a vector, where each component gives the probability of an occurrence of a class. Therefore, this vector must have positive components summing up to one, like in a composition in the simplex. This suggests a simplicial approach to IK, based on the algebraic-geometric structure of this sample space: simplicial IK actually works with log-odds. Interpolated log-odds can afterwards be easily re-expressed as the desired cpdf or ccdf. An alternative but equivalent approach may also be based on log-likelihoods. Both versions of the method avoid by construction all conventional IK standard drawbacks: estimates are always within the (0,1) interval and present no order-relation problems (either with kriging or co-kriging). Even the modeling of indicator structural functions is clarified.  相似文献   

中太平洋SA海山钴结壳勘查网度分析   总被引：1，自引：0，他引：1  

章伟艳  胡光道  张富元  杨胜雄  殷汝广  赵宏樵 《矿物学报》2008,28(3)

资源勘查过程是一个不断获取新的资源信息过程,选择最优勘查网度是降低勘查成本、加快勘查速度的关键之一,地质统计学方法在勘查网度研究方面有很大的优越性.本文选取中太平洋SA海山作为研究对象,利用地质统计学法,建立SA海山结壳厚度的理论变差函数模型.根据估计方差是勘探网度和网型的函数这一原理方法,分析认为当前的勘查网度无法控制该海山钻结壳的分布,还需加密调查取样,并模拟得出了最优勘查网度,为大洋矿产勘查航次设计提供参考.  相似文献   

Kriging with imprecise (fuzzy) variograms. II: Application   总被引：2，自引：0，他引：2  

A. Bardossy  I. Bogardi  W. E. Kelly 《Mathematical Geology》1990,22(1):81-94

The geostatistical analysis of soil liner permeability is based on 20 measurements and imprecise prior information on nugget effect, sill, and range of the unknown variogram. Using this information, membership functions for variogram parameters are assessed and the fuzzy variogram is constructed. Both kriging estimates and estimation variances are calculated as fuzzy numbers from the fuzzy variogram and data points. Contour maps are presented, indicating values of the kriged permeability and the estimation variance corresponding to selected membership values called levels.  相似文献   

Application of spatial filter theory to kriging     

James R. Carr 《Mathematical Geology》1990,22(8):1063-1079

Data-processing requirements for remotely sensed, digital images include spatial filtering to suppress image noise, enhance edges/contacts, and improve image clarity. Spatial filter theory demonstrates that the addition of a high-pass filtered image to a low-pass filtered image yields the original digital image. Application of this principle in kriging can be accomplished by using the same covariance matrix to solve for two weighting vectors to yield a result analogous to low- and high-pass filtering. The addition of kriged estimates calculated using both weighting vectors is analogous to summing high-, and low-pass filtered digital images. This modified method of kriging yields estimates associated with less smoothing compared to ordinary kriging. Statistical moments of original sample data are better preserved through estimation by this method.  相似文献   

Spatial variation in seabird density at a shallow sea tidal mixing front in the Irish Sea   总被引：1，自引：0，他引：1  

Begg  Graham S.; Reid  James B. 《ICES Journal of Marine Science》1997,54(4):552-565

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Correcting for the effect of daylight in abundance estimation of juvenile haddock (Melanogrammus aeglefinus) in the North Sea: an application of kriging with external drift     

Rivoirard  Jacques; Wieland  Kai 《ICES Journal of Marine Science》2001,58(6):1272-1285

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变差函数及其在多波段机载成像光谱仪数据处理中的应用     

董庆  冯林新 《海洋技术学报》1997,16(4):11-16

遥感的空间信息反映一定范围内象元在空间上的关系，对成像光谱仪遥感数据而言，空间结构变代表一个局部区域中各象元之间光谱辐射能量的关联状态，在图像上反映为灰度变化，利用空间信息来开拓图像分析技术可获得遥感目标很高的正确识别率，变差函数是联系遥感目标和图像中空间变化特征的有用工具，实验变差函数的计算结果表明遥感目标种类与变差图之间的定量化空间关系，可以在成像光谱图像处理中发挥作用。  相似文献