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Bibliography Bibliography ABAN, I.B., MEERSCHAERT, M.M. and PANORSKA, A.K. (2006). Parameter estimation for the truncated Pareto distribution. The American Statistician, 101, 270–277. ABBOTT, G.A. (1925). A chemical investigation of the water of Devil’s Lake, North Dakota. Proceedings of the Indiana Academy of Sciences, 34, 181–184. ABEL, N.H. (1826). Auflosung€ einer mechanischen Aufgabe [Resolution of a mechanical object]. Journal fur€ die reine und angewandte Mathematik, 1, 153–157. ABEL, N.H. (1881a). Solution de quelques problèmes à l’aide d’intégrales définies [Solution of some problems using definite integrals]. In: SYLOW, P.L.M. and LIE, S. (eds.). Oeuvres complètes de Niels Henrick Abel. Christiana, Grøndhal and Søn, 1, 11–27. ABEL, N.H. (1881b). Sur quelques intégrales définies [On some definite integrals]. In: SYLOW, P.L.M. and LIE, S. (eds.). Oeuvres complètes de Niels Henrick Abel. Christiana, Grøndhal and Søn, 1, 93–102. ABRAMOWITZ, M and STEGUN, I.A. (eds.) (1965). Handbook of mathematical functions with formulas, graphs, and mathematical tables. 2nd edn., New York, NY, Dover Publications. ABRAMS, M.J. (1978). Computer image processing – geologic applications. Publication 78-34, Pasadena, CA, Jet Propulsion Laboratory. ABSAR, I. (1985). Applications of supercomputers in the petroleum industry. Simulation, 44, 247–251. ACHESON, C.H. (1963). Time-depth and velocity-depth relations in western Canada. Geophysics, 28, 894–909. ACKLEY, D.H., HINTON, G.E. and SEJNOWSKI, T.J. (1985). A learning algorithm for Boltzmann machines. Cognitive Science, 9, 147–169. ADAMATZKY, A. (ed.) (2010). Game of Life cellular automata. London, Springer-Verlag. ADAMOPOULOS, A. (1976). Cluster models for earthquakes: regional comparisons. Journal of the International Association for Mathematical Geology, 8, 463–476. ADAMS, W.G. (1874). On the forms of equipotential curves and surfaces and lines of electric force. Proceedings of the Royal Society, London, 23, 280–284. ADAMS, W.M. and ALLEN, D.C. (1961). Reading seismograms with digital computers. Bulletin of the Seismological Society of America, 51, 515–525. ADCOCK, R.J. (1874). The correct method of least squares. The Analyst (Des Moines, IA), 1, 64. ADCOCK, R.J. (1877). Note on the method of least squares. The Analyst (Des Moines, IA), 4, 183–184. ADCOCK, R.J. (1878). A problem in least squares. The Analyst (Des Moines, IA), 5,53–54. # Springer International Publishing AG 2017 677 R.J. Howarth, Dictionary of Mathematical Geosciences, DOI 10.1007/978-3-319-57315-1 678 Bibliography ADELSTEIN, E., TRAN, A., SAEZ, C.M., SHTEINBERG, A., and MANGA, M. (2014). Geyser preplay and eruption in a laboratory model with a bubble trap. Journal of Volcanology and Geothermal Research, 285, 129–135. ADLER, R.J. (1976). Excursions above a fixed level by n-dimensional random fields. Journal of Applied Probability, 13, 276–289. ADLER, R.J. (1981). The geometry of random fields. New York, NY, John Wiley & Sons. ADRAIN, J.M., EDGECOMBE, G.D. and LIEBERMAN, B.S. (2001). Fossils, phylogeny, and form. An analytical approach. Topics in geobiology 19. New York, NY, Kluwer Academic/Plenum. ADRAIN, R. (1818). Investigation of the Figure of the Earth and of gravity in different latitudes. Transactions of the American Philosophical Society, 1,119–135. AGARWAL, B.N.P. and LAL, T. (1969). Calculation of the second vertical derivative of gravity field. Pure and Applied Geophysics, 76,5–16. AGOCS, W.B. (1951). Least squares residual anomaly determination. Geophysics, 16, 686–696. AGOS, W.G. (1955). Line spacing effect and determination of optimum spacing illustrated by Marmora, Ontario, magnetic anomaly. Geophysics, 20, 871–885. AGTERBERG, F.P. (1967). Computer techniques in geology. Earth-Science Reviews, 3,47–77. AGTERBERG, F.P. (1974). Automatic contouring of geological maps to detect target areas for mineral exploration. Journal of the International Association for Mathematical Geology, 6, 373–395. AGTERBERG, F.P. (1984a). Use of spatial analysis in mineral resource evaluation. Journal of the International Association for Mathematical Geology, 16, 565–589. AGTERBERG, F.P. (1984b). Binomial and trinomial models in quantitative biostratigraphy. Computers & Geosciences, 10,31–41. AGTERBERG, F.P. (ed.) (1984c). Theory, application and comparison of stratigraphic correlation methods. Computers & Geosciences, 10 (1), 1–183. AGTERBERG, F.P. (1984d). Trend surface analysis. In: GAILE, G.L. and WILLMOTT, C.J. (eds). Spatial statistics and models. Theory and decision library, v. 40. D. Reidel, Boston, 147–171. AGTERBERG, F.P. (1989). LOGDIA – FORTRAN77 program for logistic regression with diagnostics. Computers & Geosciences, 15, 599–614. AGTERBERG, F.P. (1990). Automated stratigraphic correlation. Developments in palaeontology and stratigraphy 13. Amsterdam, Elsevier. AGTERBERG, F.P. (1992). Combining indicator patterns in weights of evidence modelling for resource evaluation. Nonrenewable Resources, 1,39–50. AGTERBERG, F.P. (1994). Estimation of the Mesozoic geological time scale. Mathematical Geol- ogy, 26, 857–876. AGTERBERG, F.P. (2007). New applications of the model of de Wijs in regional geochemistry. Mathematical Geology, 39,1–25. AGTERBERG, F. (2014). Geomathematics: Theoretical foundations, applications and future developments. Cham, Springer International. AGTERBERG, F.P., BONHAM-CARTER, G.F., CHENG, Q. and WRIGHT, D.F. (1993). Weights of evidence modeling and weighted logistic regression for mineral potential mapping. In: DAVIS, J. and HERZFELD, J.C. (eds.). Computers in geology – 25 years of progress. Oxford, Oxford University Press, 13–32. AGTERBERG, F.P. and CHENG, Q. (eds.) (1999). Fractals and multifractals. Computers & Geosciences, 25 (9), 947–1096. AGTERBERG, F.P. and FABBRI, A.G. (1978). Spatial correlation of stratigraphic units quantified from geological maps. Computers & Geosciences, 4, 285–294. AGTERBERG, F.P. and GRADSTEIN, F.M. (1988). Recent developments in quantitative stratigra- phy. Earth-Science Reviews, 25,1–73. 679 Bibliography AGTERBERG, F.P., GRADSTEIN, F.M., CHENG, Q. and LIU, G. (2013). The RASC and CASC programs for ranking, scaling and correlation of biostratigraphic events. Computers & Geosciences, 54, 279–292. AGTERBERG, F.P. and NEL, L.D. (1982a). Algorithms for the ranking of stratigraphic events. Computers & Geosciences, 8,69–90. AGTERBERG, F.P. and NEL, L.D. (1982b). Algorithms for the scaling of stratigraphic events. Computers & Geosciences, 8, 163–189. AGTERBERG, F.P., OLIVER, J., LEW, S.N., GRADSTEIN, F.M. and WILLIAMSON, M.A. (1985). CASC: FORTRAN IV interactive computer program for correlation and scaling in time of biostratigraphic events. Open File 1179. Ottawa, Geological Survey of Canada. AGUILERA, R., DEBREMAECKER J.Cl., and HERNANDEZ, S. (1970). Design of recursive filters. Geophysics, 35, 247–253. AHLBERG, J.H., NILSON, E.N. and WALSH, J.L. (1967). The theory of splines and their applica- tion. New York, NY, Academic Press. AHO, A.V., ULLMAN, J.D. and HOPCROFT, J.E. (1983). Data structures and algorithms. Boston, MA, Addison-Wesley Longman. AHO, A.V., WEINBERGER, P.J. and KERNIGHAN, B.W. (1988 ). The awk programming lan- guage. New York, NY, Addison-Wesley. AHRENS, L.H. (1954a). The lognormal distribution of the elements (A fundamental law of geo- chemistry and its subsidiary). I. Geochimica et Cosmochimica Acta, 5,49–73. AHRENS, L.H. (1954b). The lognormal distribution of the elements (A fundamental law of geo- chemistry and its subsidiary). II. Geochimica et Cosmochimica Acta, 6, 121–131. AHRENS, L.H. (1955a). The convergent lead ages of the oldest monazites and uraninites (Rhodesia, Manitoba, Madagascar, and Transvaal). Geochimica et Cosmochimica Acta, 7, 294–300. AHRENS, L.H. (1955b). Implications of the Rhodesia age pattern. Geochimica et Cosmochimica Acta, 8,1–15. AIKIN, A. (1815). A manual of mineralogy. 2nd edn., London, Longman, Hurst, Rees, Orme & Brown. AIRY, G.B. (1861). On the algebraical and numerical theory of errors of observations and the combination of observations. Cambridge, Macmillan. AITCHISON, J. (1981). A new approach to null correlation of proportions. Journal of the Interna- tional Association for Mathematical Geology, 13, 175–189. AITCHISON, J. (1982). The statistical analysis of compositional data. Journal of the Royal Statistical Society, ser. B, 44, 139–177. AITCHISON, J. (1984). The statistical analysis of geochemical compositions. Journal of the Inter- national Association for Mathematical Geology, 16, 531–564. AITCHISON, J. (1986). The statistical analysis of compositional data. London, Chapman and Hall. AITCHISON, J. (1999). Logratios and natural laws in compositional data analysis. Mathematical Geology, 31, 563–580. AITCHISON, J. (2003). The statistical analysis of compositional data. 2nd edn., London, Chapman and Hall. AITCHISON, J. and BROWN, J.A.C. (1957). The lognormal distribution with special reference to its uses in economics. Cambridge, Cambridge University Press. AITCHISON, J. and EGOZCUE, J. (2005). Compositional data analysis: where are we and where should we be heading? Mathematical Geology, 37, 829–850. AITCHISON, J. and GREENACRE, M. (2002). Biplots of compositional data. Journal of the Royal Statistical Society, ser. C (Applied Statistics), 51, 375–392. AITCHISON, J. and SHEN, S.M. (1980). Logistic-normal distributions: some properties and uses. Biometrika, 67 (2), 261–272. 680 Bibliography AITKEN, A.R., GERRARD, J.A.F., SERRAFIAN, G.P., JONES, H.J. (1963). Seismic exploration. United States Patent Office, Patent number 3,075,607 [filed 1958].
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