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Volume 14 Issue 3
Sep 2003
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Frederik P Agterberg. Past and Future of Mathematical Geology. Journal of Earth Science, 2003, 14(3): 191-198.
Citation: Frederik P Agterberg. Past and Future of Mathematical Geology. Journal of Earth Science, 2003, 14(3): 191-198.

Past and Future of Mathematical Geology

  • Received Date: 02 Feb 2003
  • Accepted Date: 20 Mar 2003
  • This is a brief review of alternative methods of problem-solving in geoscience with emphasis on the role of mathematical geology. It is desirable to maintain a clear-cut distinction between reliable facts which can be stored in data banks and concepts that can be incorporated in the specifications of statistical models designed for specific purposes. If possible, subjective probabilities should be incorporated in hypotheses that are to be tested by statistical inference. KEY WORDS: mathematical geology, history of geoscience, use of computers, conceptual models, probability, statistics.

     

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  • Agterberg F P, 1974. Geomathematics: Mathematical Background and Geoscience Applications. Amsterdam: Elsevier. 1-596
    Agterberg F P, 1978. Spatial Patterns in the Earth Sciences. In: Merriam D F, ed. Geomathematics, Past, Present and Prospects. Syracuse University Geology Contribution, 5: 7-18
    Agterberg F P, 1979. Statistics Applied to Facts and Concepts in Geoscience. Geologie en Mijnbouw, 58(2): 201-208
    Agterberg F P, 2001a. Appreciation of Contributions by Georges Matheron and John Tukey to a Mineral-Resources Research Project. Natural Resources Research, 10: 287-295 doi: 10.1023/A:1013980810867
    Agterberg F P, 2001b. Aspects of Multifractal Modeling. Proc Annual Conference of International Association for Mathematical Geology Held in Cancun, Mexico, September 2001 (10, on CD available from IAMG)
    Agterberg F P, 2002. Construction of Numerical Time Scales. Proc 8th Annual Conference of the International Association for Mathematical Geology. Schriften der Alfred Wegener Stiftung, 2: 227-232
    Agterberg F P, Cheng Q, 2002. Conditional Independence Test for Weights-of-Evidence Modeling. Natural Resources Research, 11(4): 249-255 doi: 10.1023/A:1021193827501
    Bonham-Carter G F, 1994. Geographic in Formation Systems for Geoscientists. Kidlington, UK: Pergamon-Elsevier. 398
    Cheng Q, 2002. A New Technique for Quantifying Anisotropic Scale Invariance and for Decomposition of Mixing Patterns. Proc 8th Annual Conference of the International Association for Mathematical Geology. Schriften der Alfred Wegener Stiftung, 2: 359-364
    De Finetti B, 1972. Probability, Induction and Statistics. New York: Wiley. 1-266
    De Finetti B, 1974. Theory of Probability: A Critical Introductory Treatment. Vol. 1. New York: Wiley. 1-300
    Grayson C J Jr, 1960. Decisions under Uncertainty: Drilling Decisions by Oil and Gas Operators. Boston Mass: Harvard Business School. 1-402
    Griffiths J C, 1962. Statistical Methods in Sedimentary Petrography. In: Milner H B, ed. Sedimentary Petrography, vol. 1. New York: MacMillan. 565-617
    Hacking I, 1975. The Emergence of Probability: A Philosophical Study of Early Ideas about Probability, Induction, and Statistical Inference. Cambridge: Cambridge Univ Press. 1209
    Harbaugh J W, Doveton J H, Davis, J C, 1977. Probability Methods in Oil Exploration. New York: Wiley. 269
    Havrison J M, 1963. Nature and Significance of Geolgoical Maps. In: Albritton Jr C C, ed. The Fabric of Geology. Cambridge, Mass: Addison-Wesley. 255-232
    Howarth R J, 2001. A History of Regression and Related ModelFitting in the Earth Sciences(1636? -2000). Natural Resources Research, 10: 241-286 doi: 10.1023/A:1013928826796
    Kemp L D, Bonham-Carter G F, Raines G L, et al, 2001. ArcSDM: Arcview Extension for Spatial Data Modelling Using Weights of Evidence, Logistic Regression, Fuzzy Logic and Neural Network Analysis. http://ntserv.gis.nrcan.gc.ca/sdm/
    Mallet J L, 2002. Geomodeling. New York: Oxford University Press. 1-599
    Marshak J, 1964. Actual versus Consistent Decision Behavior. Behavioral Science, 9: 103-110 doi: 10.1002/bs.3830090203
    Miller B M, 1977. Probabilistic and Computer Methodologies Used by the U.S. Geological Survey for Geological Estimates of Undiscovered Oil and Gas Resources in the United States. In: Ramani R V, ed. Application of Computer Methods in the Mineral Industry. New York: Amer Inst Mining Metall Petrol Eng. 419-430
    Turcotte D L, 2002. Fractals in Petrology. Lithos, 65: 261-271 doi: 10.1016/S0024-4937(02)00194-9
    Van Bemmelen R W, 1961. Geodynamic Models: An Evaluation and Synthesis. Amsterdam: Elsevier. 1-267
    Winchester S, 2000. The Map that Changed the World. New York: Harper Collins. 1-329
    Wolfram S, 2002. A New Kind of Science. Champaign: Wolfram Media, Ⅲ. 1-1280
    Zhao P, Chen Y, 2001. Geo-anomaly: The Extreme Value in Geology and ItsApplication in Quantitative Assessment of Mineral Resources. Bulletin, International Statistical Institute, 59(2): 477-480
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