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Literature
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Technical Papers
For technical papers, visit the ESRI Support Center.
Journal Articles and Conference Proceedings
While Geostatistical Analyst can be easily used out of the box with a friendly wizard interface and reliable defaults, the field of statistical analysis is a complex one. These abstracts and papers introduce an in-depth view of the ideas behind geostatistics.
- New Assessing the Uncertainty Resulting from Geoprocessing Operations
The utility of a probabilistic framework for model building with geoprocessing tools is illustrated. Several different approaches to quantifying and modeling uncertainty in spatial data are described. Their utility in the geoprocessing environment is discussed. [PDF-2.27 MB, 22 pages]
Conference proceedings: GIS and Modeling Workshop, Sept. 25-26, 2003, Redlands, California
Authors: Konstantin Krivoruchko, ESRI and Carol A. Gotway, Centers for Disease Control and Prevention.
- Creating Exposure Maps Using Kriging
An introduction to health exposure mapping, called kriging, illustrated with radiocesium food contamination data collected in Southern Belarus in 1993.
Journal article: Public Health GIS News and Information, 2004.
Authors: Konstantin Krivoruchko, ESRI and Carol A. Gotway, Centers for Disease Control and Prevention.
- Geostatistical Mapping with Continuous Moving Neighborhood
A proposal for modifications of kriging that produces continuous prediction and prediction-standard error surfaces by giving data outside a specified distance from the prediction location zero weights.
Journal article: Mathematical Geology, Volume 36, Number 2, 2004.
Authors: Alexander Gribov, ESRI and Konstantin Krivoruchko, ESRI.
- GIS, Users, Developers, and Spatial Statistics: On Monarchs and Their Clothing
A preview and discussion of statistical tools and models that propagate between communities of users and the problems that arise with using inference in inappropriate settings.
Conference proceedings: StatGIS 2003, International Workshop on Interfacing Geostatistics, GIS and Spatial Databases, Pörtschach, Austria, 2003.
Authors: Konstantin Krivoruchko, ESRI, and Roger Bivand, Bergen, Norway.
- Statistical Tools for Regional Data Analysis Using GIS
A preview and discussion of several common analytical goals of GIS applications and tools based on regional data.
Conference proceedings: Eleventh ACM International Symposium on Advances in GIS, 2003.
Authors: Konstantin Krivoruchko, ESRI, Carol A. Gotway, Centers for Disease Control and Prevention, and Alex Zhigimont, ESRI.
- Using Spatial Statistics in GIS
Discussion and presentation of the power of exploratory spatial data analysis within a GIS and how it provides the foundation for more sophisticated probabilistic modeling.
Conference proceedings: Modim 2003 International Congress on Modelling and Simulation, Townsville, Queensland, Australia, 2003. Download available.
Authors: Konstantin Krivoruchko, ESRI and Carol A. Gotway, Centers for Disease Control and Prevention.
- A New Method for Handling the Nugget Effect in Kriging
A discussion of the semivariogram parameter called the nugget effect and comparison if exact and filtered kriging methods with a new method that predicts a new value at the sampled location for a validation and cross-validation diagnostic.
Conference proceedings: Applied Reservoir Characterization Using Geostatistics: The Value of Spatial Modeling, Houston, Texas, 2000.
Authors: Konstantin Krivoruchko, ESRI, Alexander Gribov, ESRI, and Jay M. Ver Hoef, Alaska Department of Fish and Game.
- Modeling the Semivariogram: New Approach, Methods Comparison and Case Study
A proposal of new methods for computing empirical semivariograms and covariances and for fitting semivariogram and covariance models to the empirical data. Comparison with restricted maximum likelihood estimation is discussed.
Book section: Stochastic Modeling II, American Association of Petroleum Geologists (AAPG), (forthcoming) 2004.
Authors: Alexander Gribov, ESRI, Konstantin Krivoruchko, ESRI, and Jay M. Ver Hoef, Alaska Department of Fish and Game.
- Geostatistical Interpolation and Simulation in the Presence of Barriers
A preview and proposal for using non-transparent and semitransparent barriers for distance metrics that are affected by natural factors. Using an appropriate cost surface with geostatistical models produces more reliable prediction and prediction standard errors, as demonstrated using air quality data in California.
Conference proceedings: geoENV IV, Barcelona, Spain, 2002.
Authors: Konstantin Krivoruchko, ESRI and Alexander Gribov, ESRI.
- Expanding the "S" in GIS: Incorporating Spatial Statistics in GIS A discussion with utilities case studies regarding the need for spatial statistics within a GIS and the power of the inferential methods it provides.
Conference proceedings: Center for Socially Integrated Social Science, Santa Barbara, California, 2002.
Authors: Konstantin Krivoruchko, ESRI, and Carol A. Gotway, Centers for Disease Control and Prevention.
- Using Linear and Non-linear Kriging Interpolators to Produce Probability Maps
A discussion and case study of kriging on residuals and lognormal, Gaussian, and trans-Gaussian kriging; an alternative approach that maps the risk of exceeding a threshold value after detrending and transforming the data.
Conference proceedings: 2001 Annual Conference of the International Association for Mathematical Geology, Cancun, Mexico, 2001.
Author: Konstantin Krivoruchko, ESRI.
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