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  • Articles  (8)
  • sedimentology  (8)
  • 1995-1999
  • 1980-1984  (1)
  • 1975-1979  (7)
  • 1984  (1)
  • 1976  (7)
  • Geosciences  (8)
Collection
  • Articles  (8)
Source
Keywords
Publisher
Years
  • 1995-1999
  • 1980-1984  (1)
  • 1975-1979  (7)
Year
Topic
  • 1
    Electronic Resource
    Electronic Resource
    Sequence in Australian coal seams (1976)
    Springer
    Mathematical geology 8 (1976), S. 529-547 
    Details
    ISSN: 1573-8868
    Keywords: cycles ; Markov processes ; cluster analysis ; time-trend analysis ; coal petrology ; sedimentology
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Mathematics
    Notes: Abstract An embedded Markov model is used to test microlithotype analyses of subsections of a wide range of Australian coal seams for the presence of nonrandom sequences of lithologies. The data for individual seams, transformed to give five states (four states if dirt bands are excluded),were summed into geologically and geographically distinct groupings. The results suggest that dirt bands form an essential part of the sequences and that partial or complete cyclicity is present in many seam groupings. The cyclicity is either asymmetric or partially symmetric with the vitrite +clarite content of the coal decreasing upwards within each cycle. A new cycle is marked either by a sharp reversion, or by a slightly gradational reversion, to a vitrite +clariterich lithology. This reversion may or may not be preceded by a dirt band. In virtually all groupings, a vitrite +clarite-rich lithology is the most likely type after a dirt band. The sequences are similar to those that have been described in European coals and it seems probable that the presence of intraseam, cyclic sequences is a normal, rather than an unusual condition, within coal seams. This cyclicity is a response to changes in the sedimentation balance. These changes are probably due in large part to processes originating within the peat-forming environment but processes external to this environment are also likely to produce cyclic sequences of coal lithologies.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01042992
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  • 2
    Electronic Resource
    Electronic Resource
    Implementation of criteria for partitioning a dendrogram (1976)
    Springer
    Mathematical geology 8 (1976), S. 75-84 
    Details
    ISSN: 1573-8868
    Keywords: classification ; cluster analysis ; entropy ; facies analysis ; sedimentology
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Mathematics
    Notes: Abstract Criteria have been suggested for the optimal partitioning of a dendrogram into sample clusters. The implementation of these criteria by means of statistical and graphical measures is considered for two dendrograms. It is shown that the optimization of criteria is conditioned by research aims.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01039686
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  • 3
    Electronic Resource
    Electronic Resource
    Multivariate correlation analysis of suspended-sediment characteristics (1976)
    Springer
    Mathematical geology 8 (1976), S. 57-74 
    Details
    ISSN: 1573-8868
    Keywords: factor analysis ; principal components analysis ; oceanography ; sedimentology ; suspended sediment
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Mathematics
    Notes: Abstract Principal component analysis (PCA) was employed to investigate interrelationships among various characteristics of seawater and suspended sediments obtained from surface waters of two Asian marginal seas. On the basis of multivariate correlation analysis for the two marginal seas combined, three important factors were extracted and interpreted: (1) current-energy conditions, (2) the influence of rivers, and (3) biochemical conditions of seawater. A relationship between anisotropic mineral grains and combustible organic matter is suggested by the fact that suspended sediment, containing coarser anisotropic mineral grains, also contains larger amounts of combustible organic matter.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01039685
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  • 4
    Electronic Resource
    Electronic Resource
    Some methods for statistical analysis of multimodal distributions and their application to grain-size data (1976)
    Springer
    Mathematical geology 8 (1976), S. 267-282 
    Details
    ISSN: 1573-8868
    Keywords: decomposition ; statistics ; superpositions ; sedimentology
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Mathematics
    Notes: Abstract Some of the methods used in the resolution of mixed normal distributions are discussed under three headings: analytical, graphical, and numerical methods. Attention is given to their applicability in the analysis of grain-size data as derived from sieving. Comparisons are made by applying several methods to published data. It is concluded that the numerical methods offer most scope, especially the method of nonlinear least squares. Some analyses of beach sediments, using this method, are presented. The adoption of a convention for the number of individuals in the sample increases ease of interpretation.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01029273
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  • 5
    Electronic Resource
    Electronic Resource
    A multivariate sedimentary environmental analysis of Great South Bay and South Oyster Bay, New York (1976)
    Springer
    Mathematical geology 8 (1976), S. 283-304 
    Details
    ISSN: 1573-8868
    Keywords: classification ; cluster analysis ; discriminant analysis ; ordination analysis ; grain size ; sedimentology
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Mathematics
    Notes: Abstract A multivariate statistical strategy for classifying paleoenvironments is effective for studying modern sedimentary processes in western Great South Bay and South Oyster Bay, New York. The 13 whole phi weight percent variables were tested for redundancy with R-mode cluster analysis. The samples were partitioned statistically into five environmentally significant facies using Q-mode cluster analysis: (A)sandy gravel, (B)sandy silt, (C)silty sand, (D)slightly gravelly sand, and (E)fine sand. An ordination depicted gradational relationships among the samples and the facies. It was used to evaluate the environmental and textural parameter gradients within the sample space. Interpretations obtained in this manner and by examination of the grain-size curves suggest that these sediments were deposited by waves and currents on beaches and in wave zones (facies C and E),shoal areas (facies B),and tidal channels (facies A and D).Tidal currents, wave action, and eelgrass control the distribution of sediments within the two bays.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01029274
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  • 6
    Electronic Resource
    Electronic Resource
    A method for the mathematical analysis of the cross-sectional geometry of tidal inlet channels (1976)
    Springer
    Mathematical geology 8 (1976), S. 635-647 
    Details
    ISSN: 1573-8868
    Keywords: principal-components analysis ; geomorphology ; oceanography ; sedimentology
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Mathematics
    Notes: Abstract Analysis of channel cross sections is hindered by lack of parameters to describe the shape of the cross section. In the situation of a sample of cross sections taken across tidal inlets, if the cross section is expressed as an observation vector, principal-component analysis can be used to derive eigenvectors for the data set. By neglecting eigenvectors that explain little variance, mathematical representation of the original data set is simplified by transformation to the eigenvector space. For 408 cross sections each represented by a 60-component vector, three eigenvectors explain 97.5 percent of the total variance in the data set. The three-dimensional representation simplifies the task of analyzing cross-sectional shape. The physical form of the first three eigenvectors have considerable resemblance to classical types of variation noted in inlet-channel studies. The method is applicable directly to analysis of other fluvial and estuarine channels.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01031094
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  • 7
    Electronic Resource
    Electronic Resource
    Spatial pattern recognition by decomposition (1984)
    Springer
    Mathematical geology 16 (1984), S. 217-236 
    Details
    ISSN: 1573-8868
    Keywords: nonlinear regression ; discriminant analysis ; decomposition of mixtures ; pattern recognition ; geochemistry ; sedimentology
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Mathematics
    Notes: Abstract The decomposition problem—the assignment of sample observations to component populations—is studied in a spatial context. The observations are spatially located and the assignment to component populations takes into account the value of each observation as well as the values of neighboring observations. Both parameter estimation and assignment rules use a new method that integrates a standard multivariate decomposition algorithm with nonlinear regression. The method is illustrated and tested with artificial data. The distribution of the trace component Cr2O3 in recent Lake Michigan sediments is, then, analyzed by the method. It yields a pattern of component populations that is correlated with the Lake's bottom structure and depositional environments.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01032688
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  • 8
    Electronic Resource
    Electronic Resource
    Catastrophe theory models in geology (1976)
    Springer
    Mathematical geology 8 (1976), S. 649-655 
    Details
    ISSN: 1573-8868
    Keywords: topology ; catastrophe theory ; volcanology ; sedimentology ; structure ; morphogenesis
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Mathematics
    Notes: Abstract Catastrophe theory is a recently developed branch of topology which has a number of practical applications, principally because of its ability to model situations which include discontinuities or singularities, where the methods of differential calculus break down. Some examples of its possible use in geology are presented, in fields as diverse as volcanology, sedimentology, and structural geology, and wider applications, in modeling spatial or temporal discontinuities in other fields, are suggested.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01031095
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