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  • 1
    Monograph available for loan
    Monograph available for loan
    Numerical analysis for the geological sciences (1995)
    Englewood Cliffs, NJ : Prentice Hall
    Details Availability
    Call number: 95.0688 ; M 07.0401
    Type of Medium: Monograph available for loan
    Pages: XXV, 592 S.
    ISBN: 0023195118
    Classification:
    Mathematical Geology
    Language: English
    Location: Upper compact magazine
    Location: Upper compact magazine
    Branch Library: GFZ Library
    Branch Library: GFZ Library
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  • 2
    Electronic Resource
    Electronic Resource
    Use of Geostatistics For Accurate Mapping of Earthquake Ground Motion (1989)
    Oxford, UK : Blackwell Publishing Ltd
    Geophysical journal international 97 (1989), S. 0 
    Details
    ISSN: 1365-246X
    Source: Blackwell Publishing Journal Backfiles 1879-2005
    Topics: Geosciences
    Notes: The geostatistical method of kriging is applied for the analysis, estimation and mapping of earthquake ground motion. No modification to this method was required for this new application. Along with kriging, the concept of the semi-variogram is introduced and shown to be important for estimation and mapping. In geostatistical analyses of earthquake ground motion the ground motion is modelled by a random function. This random function model is shown to be accurate for providing estimates of earthquake ground motion at unsampled locations. Kriging is applied in this paper for the mapping of peak horizontal acceleration recorded during the 1971 San Fernando, and the 1983 Coalinga, California earthquakes. These results are compared to maps predicted using attenuation expressions and differences are analysed. Results demonstrate the utility of kriging for the analysis of earthquake ground motion.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1111/j.1365-246X.1989.tb00482.x
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  • 3
    Electronic Resource
    Electronic Resource
    Relationship Between Lineaments and Ground Water Occurrence in Western Botswana (1999)
    Oxford, UK : Blackwell Publishing Ltd
    Ground water 37 (1999), S. 0 
    Details
    ISSN: 1745-6584
    Source: Blackwell Publishing Journal Backfiles 1879-2005
    Topics: Energy, Environment Protection, Nuclear Power Engineering , Geosciences
    Notes: Asemiarid region of western Botswana, the Ghanzi-Makunda area, is the focus of a study to determine the relationship between lineaments and well yield. This relationship is inferred from geologic maps, aerial photographs, and Landsat TM (thematic mapper) images in conjunction with a well yield map produced using indicator kriging and based on 226 globally positioned wells. A composite image of Landsat TM, digital well yield, lineament trace, and well location data, formed using a raster-based geographic information systems (GIS) technique, visually identifies a correlation between well yield, lineament density, and darker tones on Landsat TM images. Higher fracture densities correlate positively with higher well yields. Regression analysis identifies a statistically significant correlation between distance to lineament intersections and median well yield.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1111/j.1745-6584.1999.tb00985.x
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  • 4
    Electronic Resource
    Electronic Resource
    A treatise on the use of geostatistics for the characterization of nonrenewable resources (1992)
    Springer
    Natural resources research 1 (1992), S. 61-73 
    Details
    ISSN: 1573-8981
    Keywords: Nonrenewable resources ; Geostatistics ; Interpolation ; Spatial structure ; Geographic information systems
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences
    Notes: Abstract Five decades of geostatistical development are reviewed to summarize the state of the art for spatial interpolation vis-à-vis kriging or a form thereof. Although a search of the literature reveals a variety of kriging methods, there are but two infrastructures for geostatistical interpolation: simple cokriging, for estimating a single variable using two variables, and generalized cokriging, for estimating one or more variables using the same number of variables that are estimated. The many forms of kriging are varieties of these two interpolation infrastructures. This notion is emphasized to aid the selection of an appropriate interpolation model for a nonrenewable resource. These models are discussed, and literature for the models and for applicable software is cited. Additionally, all aspects of spatial interpolation are discussed, including the adequacy of spatial sampling, distribution characteristics of spatial samples, semivariograms, search parameters, and selection of interpolation models in conformance with spatial data characteristics. Finally, the relationship between interpolation and raster-based geographic information systems is emphasized.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01782113
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  • 5
    Electronic Resource
    Electronic Resource
    Application of spatial filter theory to kriging (1990)
    Springer
    Mathematical geology 22 (1990), S. 1063-1079 
    Details
    ISSN: 1573-8868
    Keywords: point-spread function ; spatial filtering ; kriging ; variogram ; digital image ; intrinsic random functions ; conditional simulation
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Mathematics
    Notes: Abstract 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.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00890124
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  • 6
    Electronic Resource
    Electronic Resource
    Book reviews (1996)
    Springer
    Mathematical geology 28 (1996), S. 367-369 
    Details
    ISSN: 1573-8868
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Mathematics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02083206
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  • 7
    Electronic Resource
    Electronic Resource
    On the practice of estimating fractal dimension (1991)
    Springer
    Mathematical geology 23 (1991), S. 945-958 
    Details
    ISSN: 1573-8868
    Keywords: fractals ; fractal dimension ; Hausdorff-Besicovitch dimension ; power spectra ; divider method ; variograms
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Mathematics
    Notes: Abstract Coastlines epitomize deterministic fractals and fractal (Hausdorff-Besicovitch) dimensions; a divider [compass] method can be used to calculate fractal dimensions for these features. Noise models are used to develop another notion of fractals, a stochastic one. Spectral and variogram methods are used to estimate fractal dimensions for stochastic fractals. When estimating “fractal dimension,” the objective of the analysis must be consistent with the method chosen for fractal dimension calculation. Spectal and variogram methods yield fractal dimensions which indicate the similarity of the feature under study to noise (e.g., Brownian noise). A divider measurement method yields a fractal dimension which is a measure of complexity of shape.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02066734
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  • 8
    Electronic Resource
    Electronic Resource
    Book Review: Analysis of Variance, Design and Regression: Applied Statistical Methods By Ronald Christensen Chapman & Hall, 1996, 587 pp., hardcover, $69.95 (US), ISBN 0-412-06291-7 (2000)
    Springer
    Mathematical geology 32 (2000), S. 763-764 
    Details
    ISSN: 1573-8868
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Mathematics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1007598608151
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  • 9
    Electronic Resource
    Electronic Resource
    Treatment of earthquake ground motion using regionalized variables (1985)
    Springer
    Mathematical geology 17 (1985), S. 221-241 
    Details
    ISSN: 1573-8868
    Keywords: variograms ; covariance ; positive definite conditions ; kriging ; Modified Mercalli Intensity
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Mathematics
    Notes: Abstract Earthquake ground motion is a spatial phenomenon associated with local random behavior and global attenuation away from a source. By this description, ground motion is a regionalized variable. Analyses of directional variograms for earthquake ground motion reveal ansiotropic attenuation. For some earthquakes, a spatial structure exists in all directions and an average variogram can be developed. For other earthquakes, either a spatial structure can be identified only for restricted directions, or a spatial structure cannot be found to exist in any direction. A valid application of regionalized variables theory to the spatial analysis of earthquake ground motion must therefore be predicated on an initial, exhaustive analysis of estimated variograms. To estimate these data, an application of ordinary kriging is preferable to other more complex regionalized variables techniques to simplify the spatial analysis of earthquake ground motion.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01034751
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  • 10
    Electronic Resource
    Electronic Resource
    An application of cokriging for estimation of tripartite earthquake response spectra (1985)
    Springer
    Mathematical geology 17 (1985), S. 527-545 
    Details
    ISSN: 1573-8868
    Keywords: cokriging ; variograms ; cross-variograms ; earthquake response spectra
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Mathematics
    Notes: Abstract A tripartite earthquake response spectrum exhibits peak values of acceleration, velocity, and displacement in concert, each as a function of natural frequency of vibration. Because cokriging is a regionalized variable technique for multiple variable estimation, it was employed to jointly estimate peak values of acceleration, velocity, and displacement through a frequency discretization process. The objective of this application was to develop a technique for estimation of response spectra at uninstrumented locations. Because magnitudes of the three response variables differed, these data were normalized prior to cokriging. This process simply involved dividing each type of variable by its maximum value for a given frequency; hence, values of each type of variable ranged between zero and one. This allowed better accuracy in developing cross-variograms. Cokriging proved to be an efficient and accurate technique to use for the estimation of tripartite response spectra.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01032107
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