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Volumn 37, Issue 8, 2005, Pages 895-913

Fractally invariant distributions and an application in geochemical exploration

Author keywords

Anomaly detection; Fractal modelling; Geochemistry; Summation method

Indexed keywords

EXPLORATORY GEOCHEMISTRY; FRACTALS; MATHEMATICAL MODELS; PARETO PRINCIPLE; PROBABILITY DISTRIBUTIONS;

EID: 33645636580     PISSN: 08828121     EISSN: 15738868     Source Type: Journal    
DOI: 10.1007/s11004-005-9222-6     Document Type: Article
Times cited : (20)

References (36)
  • 1
    • 0001823139 scopus 로고
    • The lognormal distribution of the elements (a fundamental law of geochemistry and its subsidiary)
    • Ahrens, L. H., 1954a, The lognormal distribution of the elements (a fundamental law of geochemistry and its subsidiary): Geochim. Cosmochim. Acta, v. 5, p. 49-73.
    • (1954) Geochim. Cosmochim. Acta , vol.5 , pp. 49-73
    • Ahrens, L.H.1
  • 2
    • 0001823140 scopus 로고
    • The lognormal distribution of the elements: II
    • Ahrens, L. H., 1954b, The lognormal distribution of the elements: II: Geochim. Cosmochim. Acta, v. 6, p. 121-131.
    • (1954) Geochim. Cosmochim. Acta , vol.6 , pp. 121-131
    • Ahrens, L.H.1
  • 5
    • 0021060264 scopus 로고
    • Multiscale sources of spatial variation in soil: I. The application of fractal concepts to nested levels of soil variation
    • Burrough, P. A., 1983, Multiscale sources of spatial variation in soil: I. The application of fractal concepts to nested levels of soil variation: J. Soil Sci., v. 34, p. 577-597.
    • (1983) J. Soil Sci. , vol.34 , pp. 577-597
    • Burrough, P.A.1
  • 6
    • 0032792067 scopus 로고    scopus 로고
    • Spatial and scaling modelling for geochemical anomaly separation
    • Cheng, Q., 1999, Spatial and scaling modelling for geochemical anomaly separation: J. Geochem. Explor., v. 65, p. 175-194.
    • (1999) J. Geochem. Explor. , vol.65 , pp. 175-194
    • Cheng, Q.1
  • 7
    • 0028599868 scopus 로고
    • The separation of geochemical anomalies from background by fractal methods
    • Cheng, Q., Agterberg, F. P., and Ballantyne, S. B., 1994, The separation of geochemical anomalies from background by fractal methods: J. Geochem. Explor., v. 51, p. 109-130.
    • (1994) J. Geochem. Explor. , vol.51 , pp. 109-130
    • Cheng, Q.1    Agterberg, F.P.2    Ballantyne, S.B.3
  • 9
    • 0039740050 scopus 로고    scopus 로고
    • An unsupervised neural network approach to the analysis of multi-element stream sediment data, Northeastern NSW, Australia
    • Clare, A. P., and Cohen, D. R., 2001, An unsupervised neural network approach to the analysis of multi-element stream sediment data, Northeastern NSW, Australia: Geochem. Explor. Environ. Anal., v. 1, p. 119-134.
    • (2001) Geochem. Explor. Environ. Anal. , vol.1 , pp. 119-134
    • Clare, A.P.1    Cohen, D.R.2
  • 10
    • 0033376940 scopus 로고    scopus 로고
    • Comparison of vegetation and stream sediment geochemical patterns in the north eastern region of New South Wales
    • Cohen, D. R., Silva-Santisteban, C. M., Rutherford, N. F., Garnett, D. L., and Waldron, H. M., 1999, Comparison of vegetation and stream sediment geochemical patterns in the north eastern region of New South Wales: J. Geochem. Explor., v. 66, p. 469-489.
    • (1999) J. Geochem. Explor. , vol.66 , pp. 469-489
    • Cohen, D.R.1    Silva-Santisteban, C.M.2    Rutherford, N.F.3    Garnett, D.L.4    Waldron, H.M.5
  • 12
    • 6444234920 scopus 로고    scopus 로고
    • U.S. Department of the interior U.S. geological survey: Fractal lognomal percentage analysis of U.S. geological survery's 1995 national assessment of conventional oil and gas resources
    • Crovelli, R. A., Schmoker, J. W., and Balay, R. H., 1997, U.S. Department of the interior U.S. geological survey: Fractal lognomal percentage analysis of U.S. geological survery's 1995 national assessment of conventional oil and gas resources: Nonrewable Resources, v. 6, p. 43-51.
    • (1997) Nonrewable Resources , vol.6 , pp. 43-51
    • Crovelli, R.A.1    Schmoker, J.W.2    Balay, R.H.3
  • 14
    • 0031738592 scopus 로고    scopus 로고
    • Truncated Pareto law and oresize distribution of ground rocks
    • Devoto, D., and Martínez, S., 1998, Truncated Pareto law and oresize distribution of ground rocks: Math. Geol., v. 30, p. 661-673.
    • (1998) Math. Geol. , vol.30 , pp. 661-673
    • Devoto, D.1    Martínez, S.2
  • 15
    • 0024476062 scopus 로고
    • The chi-square plot: A tool for multivariate outlier recognition
    • Garrett, R. G., 1989, The chi-square plot: A tool for multivariate outlier recognition: J. Geochem. Explor., v. 32, p. 319-341.
    • (1989) J. Geochem. Explor. , vol.32 , pp. 319-341
    • Garrett, R.G.1
  • 16
    • 0027833452 scopus 로고
    • Measurement and characterization of spatial distributions of fractures
    • Gillespie, P. A., Howard, C. B., Walsh, J. J., and Watterson, J., 1993, Measurement and characterization of spatial distributions of fractures: Technophysics, v. 226, p. 113-141.
    • (1993) Technophysics , vol.226 , pp. 113-141
    • Gillespie, P.A.1    Howard, C.B.2    Walsh, J.J.3    Watterson, J.4
  • 18
    • 18044401487 scopus 로고    scopus 로고
    • Characterisation of geochemical distributions using multifractal models
    • Gonçales, M. A., 2001, Characterisation of geochemical distributions using multifractal models: Math. Geol., v. 33, p. 41-61.
    • (2001) Math. Geol. , vol.33 , pp. 41-61
    • Gonçales, M.A.1
  • 19
    • 0000763059 scopus 로고
    • Exploration geochemistry distribution of elements and recognition of anomalies
    • Govett, G. J. S., Goodfellow, W. D., Chapman, R. P., and Chork, C. Y., 1975: Exploration geochemistry distribution of elements and recognition of anomalies: Math. Geol., v. 7, p. 415-446.
    • (1975) Math. Geol. , vol.7 , pp. 415-446
    • Govett, G.J.S.1    Goodfellow, W.D.2    Chapman, R.P.3    Chork, C.Y.4
  • 20
    • 0000760921 scopus 로고
    • Spatial and multivariate analysis of geochemical data from metavolcanic rocks in the Ben Nevis Area, Ontario
    • Grunsky, E. C., and Agterberg, F. P., 1988, Spatial and multivariate analysis of geochemical data from metavolcanic rocks in the Ben Nevis Area, Ontario: Math. Geol., v. 7, p. 415-446.
    • (1988) Math. Geol. , vol.7 , pp. 415-446
    • Grunsky, E.C.1    Agterberg, F.P.2
  • 24
    • 0031448381 scopus 로고    scopus 로고
    • Improved estimation of the box-cox transform parameter and its application to hydrogeochemical data
    • Joseph, L., and Bhaumik, B. K., 1997, Improved estimation of the box-cox transform parameter and its application to hydrogeochemical data: Math. Geol., v. 29, p. 963-976.
    • (1997) Math. Geol. , vol.29 , pp. 963-976
    • Joseph, L.1    Bhaumik, B.K.2
  • 27
    • 0005607383 scopus 로고
    • Analysis of aggregate fractal dimensions and aggregate densities back-calculated from hydraulic conductivity
    • Logdson, S. D., 1995, Analysis of aggregate fractal dimensions and aggregate densities back-calculated from hydraulic conductivity: Soil Sci. Soc. Am. J., v. 59, p. 1216-1221.
    • (1995) Soil Sci. Soc. Am. J. , vol.59 , pp. 1216-1221
    • Logdson, S.D.1
  • 28
    • 0001474478 scopus 로고
    • Forecasts of future prices, unbiased markets, and "martingale" models
    • Mandelbrot, B. B., 1966, Forecasts of future prices, unbiased markets, and "martingale" models: J. Business, v. 39, p. 242-255.
    • (1966) J. Business , vol.39 , pp. 242-255
    • Mandelbrot, B.B.1
  • 29
    • 0000036811 scopus 로고
    • The variation of some other speculative prices
    • Mandelbrot, B. B., 1967. The variation of some other speculative prices: J. Business, v. 40, p. 393-413.
    • (1967) J. Business , vol.40 , pp. 393-413
    • Mandelbrot, B.B.1
  • 31
    • 0019727953 scopus 로고
    • Estimation of the geochemical threshold and its statistical significance
    • Miesch, A. T., 1981, Estimation of the geochemical threshold and its statistical significance: J. Geochem. Explor., v. 16, p. 49-76.
    • (1981) J. Geochem. Explor. , vol.16 , pp. 49-76
    • Miesch, A.T.1
  • 32
    • 84977329167 scopus 로고
    • Fractal simplification of lines using convex hulls
    • Normant, F., and Tricot, C., 1993, Fractal simplification of lines using convex hulls: Geogr. Anal., v. 25, p. 118-129.
    • (1993) Geogr. Anal. , vol.25 , pp. 118-129
    • Normant, F.1    Tricot, C.2
  • 33
    • 0031687822 scopus 로고    scopus 로고
    • Theory study of fractal statistical model and its application in geology
    • Shen, W., and Zhao, P. D., 1998, Theory study of fractal statistical model and its application in geology: Sci. Geol. Sinica, v. 33, p. 234-243.
    • (1998) Sci. Geol. Sinica , vol.33 , pp. 234-243
    • Shen, W.1    Zhao, P.D.2
  • 34
    • 0026358518 scopus 로고
    • A fundamental approach to threshold estimation in exploration geochemistry. Probability plots revisited
    • Sinclair, A. J., 1991, A fundamental approach to threshold estimation in exploration geochemistry. Probability plots revisited: J. Geochem. Explor., v. 41, p. 1-22.
    • (1991) J. Geochem. Explor. , vol.41 , pp. 1-22
    • Sinclair, A.J.1
  • 35
    • 0008576325 scopus 로고
    • PROBPLOT: An interactive computer program to fit mixtures of normal (or log-normal) distributions with maximum likelihood optimization procedures
    • Association of Exploration Geochemists, Nepean, Ontario, Canada, special
    • Stanley, C. R., 1987, PROBPLOT: An interactive computer program to fit mixtures of normal (or log-normal) distributions with maximum likelihood optimization procedures: Association of Exploration Geochemists, Nepean, Ontario, Canada, special volume 14.
    • (1987) , vol.14
    • Stanley, C.R.1


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