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What is Kriging

Handbook of Research on Advanced Computational Techniques for Simulation-Based Engineering
A best linear unbiased estimator for interpolation at unsampled locations based on available observations. All estimates at unsampled locations are assumed as linear combination of observations assigned with different weighting factors.
Published in Chapter:
Spatial Variability Analysis of Soil Properties using Geostatistics
Anand J. Puppala (The University of Texas at Arlington, USA), Tejo V. Bheemasetti (The University of Texas at Arlington, USA), Haifeng Zou (Southeast University, China), Xinbao Yu (The University of Texas at Arlington, USA), Aravind Pedarla (The University of Texas at Arlington, USA), and Guojun Cai (Southeast University, China)
DOI: 10.4018/978-1-4666-9479-8.ch008
Abstract
Spatial variability in soil properties is still in the exploratory stage and, despite of an increase in probabilistic and statistical analysis, many challenges remain in using spatial variability of soil properties in practical designs. This chapter addresses the problem of how to incorporate spatial variability of soil properties by using Geostatistics. Existing researches in variability analysis tend to focus on the distribution of the soil properties, reliability based design and simulation of random fields. However, there is limited evidence that researchers have approached the issue of spatial variability in soil properties. Consequently, the aim of this chapter is to develop a framework for incorporating spatial variability in soil properties in prediction analysis and how it could be applied to infrastructure design. The developed framework is validated by performing spatial variability analysis of soil strength parameters evaluated from the piezocone penetration test data.
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Improving Spatio-Temporal Rainfall Interpolation Using Remote Sensing CCD Data in a Tropical Basin: A Geostatistical Modeling Approach
A geostatistical estimation technique that uses a linear combination of surrounding sampled values to make such predictions. It can be simply refered to as a geostatistical gridding method, which produces visually appealing maps from irregularly spaced data. Kriging attempts to express trends suggested in such data.
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Spatial Autocorrelation and Association Measures
A form of statistical modeling that interpolates data from a known set of sample points to a continuous surface.
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Geography and Public Health
A technique that can be used to develop contour maps (e.g., maps that show lines of equal value such as DWI rates) from a limited number of points or areas (which can be given a value at the centroid).
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Metamodel-Based Optimum Design Examples of Structures
Kriging is an interpolation method named after a South African mining engineer named D. G. Krige. The method has been widely utilized to build the metamodel, replacing a complex response.
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Using Geographic Information System to Infollow the Fertilizers Pollution Migration
One of the deterministic interpolation methods used in the Geostatistical Analyst. The interpolated surface is not forced to go through the data, and the method does not have standard errors associated with it. It is a statistical interpolation method that uses data from a single data type (single attribute) to predict (interpolate) values of the same data type at un-sampled locations. Kriging also provides standard errors of the predictions.
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Statistical Model Selection for Seasonal Big Time Series Data
An interpolation method initially developed in geostatistics.
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Technical Outline of a W3 Spatial (Decision Support) Prototype
A form of statistical modeling that interpolates data from a known set of sample points to a continuous surface. It is the best linear unbiased predictor whether or not data are normally distributed. It is linear since estimations are a weighted linear combination of the available data. It is unbiased because the error mean is zero (no over or under-estimates). It is best since its goal is to minimize error variance.
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Spatial Data Analysis Using Kernel Density Tools
A geostatistical interpolation method based on predicting values for unmeasured locations using regression estimates.
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