Open and closed compositional data in petrology

E. H. Timothy Whitten

doi:10.1007/bf02273538

journal article Aug 01, 1995

Open and closed compositional data in petrology

E. H. Timothy Whitten

Mathematical Geology Vol. 27 No. 6 pp. 789-806 · Springer Science and Business Media LLC

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References

65

[1]

Aitchison, J., 1982, The statistical analysis of compositional data: Jour. Roy. Stat. Soc., v. 44B, no. 2, p. 139–177. 10.1111/j.2517-6161.1982.tb01195.x

[2]

Aitchison, J., 1986, The statistical analysis of compositional data: Chapman & Hall, London, 416 p. 10.1007/978-94-009-4109-0

[3]

Aitchison, J., 1990, Relative variation diagrams for describing patterns of compositional variability: Math. Geology, v. 22, no. 4, p. 487–511. 10.1007/bf00890330

[4]

Aitchison, J., 1992, On criteria for measures of compositional difference: Math. Geology, v. 24, no. 4, p. 365–379. 10.1007/bf00891269

[5]

Appleyard, E. C., 1980, Mass balance computations in metasomatism: metagabbro/nepheline syenite pegmatite interactions in northern Norway: Contrib. Mineral. Petrol., v. 73, no. 2, p. 131–144. 10.1007/bf00371388

[6]

Appleyard, E. C., and Guha, J., 1991, A special issue on applications of hydrothermal alteration studies to mineral exploration: Econ. Geology, v. 86, no. 3, p. 461–465. 10.2113/gsecongeo.86.3.461

[7]

Attoh, K., 1973, Metamorphic reactions in the Michigamme Formation, Iron County, Michigan: unpubl. doctoral dissertation, Northwestern Univ., 164 p.

[8]

Babcock, R. S., 1973, Computational models of metasomatic processes: Lithos, v. 6, no. 3, p. 279–290. 10.1016/0024-4937(73)90089-3

[9]

Barth, T. F. W., 1962, Theoretical petrology (2nd ed.): John Wiley & Sons, New York, 416 p.

[10]

Boyle, R. W., 1961, The geology, geochemistry, and origin of the gold deposits of the Yellowknife district: Can. Geol. Survey Mem. 310, p. 1–193.

[11]

Carmichael, I. S. E., Turner, F. J., and Verhoogen, J., 1974, Igneous petrology: McGraw-Hill Book Co., New York, 739 p.

[12]

Chappell, B. W., 1984, Source rocks of I- and S-type granites in the Lachlan fold belt, southeastern Australia: Phil. Trans. Roy. Soc., Ser. A., v. 310, no. 1514, p. 693–707. 10.1098/rsta.1984.0015

[13]

Chayes, F., 1949, On ratio correlation in petrography: Jour. Geology, v. 57, no. 3, p. 239–254. 10.1086/625606

[14]

Chayes, F., 1956, Petrographic modal analysis: John Wiley & Sons, New York, 113 p.

[15]

Chayes, F., 1960, On correlation between variables of constant sum: Jour. Geophys. Research, v. 65, no. 12, p. 4185–4193. 10.1029/jz065i012p04185

[16]

Chayes, F., 1964, Variance-covariance relations in some published Harker diagrams of volcanic suites: Jour. Petrology, v. 5, no. 2, p. 219–237. 10.1093/petrology/5.2.219

[17]

Chayes, F., 1971, Ratio correlation: a manual for students of petrology and geochemistry: Univ. Chicago Press, Chicago, 99 p.

[18]

Chayes, F., 1983, On the possible significance of strong positive correlations between trace elements: unpubl. typescript, Geophysical Lab., Washington, D.C., 6 p.

[19]

Chayes, F., and Kruskal, W., 1966, An approximate statistical test for correlations between proportions: Jour. Geology, v. 74, no. 5, pt. 2, p. 692–702. 10.1086/627204

[20]

Cross, C. W., Iddings, J. P., Pirsson, L. V., and Washington, H. S., 1903, Quantitative classification of igneous rocks: Univ. Chicago Press, Chicago, 286 p.

[21]

Elliott-Meadows, S. R., and Appleyard, E. C., 1991, The alteration geochemistry and petrology of the Lar Cu-Zn deposit, Lynn Lake Area, Manitoba, Canada: Econ. Geology, v. 86, no. 3, p. 486–505. 10.2113/gsecongeo.86.3.486

[22]

Exley, C. S., 1959, Magmatic differentiation and alteration in the St. Austell Granite: Geol. Soc. London Quart. Jour., v. 114 (for 1958), pt. 2, p. 197–230. 10.1144/gsjgs.114.1.0197

[23]

Gibson, H. L., Watkinson, D. H., and Comba, C. D. A., 1983, Silicification: Hydrothermal alteration in an Archean geothermal system within the Amulet Rhyolite Formation, Noranda, Quebec: Econ. Geology, v. 78, no. 5, p. 954–971. 10.2113/gsecongeo.78.5.954

[24]

Grant, J. A., 1986, The isocon diagram—a simple solution to Gresens' equation for metasomatic alteration: Econ. Geology, v. 81, no. 8, p. 1976–1982. 10.2113/gsecongeo.81.8.1976

[25]

Gresens, R. L., 1967, Composition-volume relationships of metasomatism: Chemical Geology, v. 2, no. 1, p. 47–65. 10.1016/0009-2541(67)90004-6

[26]

Grunsky, E. C., Easton, R. M., Thurston, P. C., and Jensen, L. S., 1992, Characterization and statistical classification of Archean volcanic rocks of the Superior Province using major element geochemistry,in Geology of Ontario: Ontario Geol. Survey Spec. Vol. 4, pt. 2, p. 1397–1438.

[27]

Jensen, L. S., 1976, A new cation plot for classifying subalkaline volcanic rocks: Ontario Div. Mines Misc. Paper 66, 22 p.

[28]

Krumbein, W. C., 1964, A geological process-response model for analysis of beach phenomena: Beach Erosion Board Ann. Bull. 17 (for 1963), p. 1–15.

[29]

Krumbein, W. C., and Sloss, L. L., 1963, Stratigraphy and sedimentation (2nd ed.): W. H. Freeman & Co., San Francisco, 660 p.

[30]

Madeisky, H. E., and Stanley, C. R., 1993, Identifying metasomatic zones associated with volcanichosted massive sulphide deposits using Pearce element ratio analysis: Geol. Assoc. Canada (Northwest Mining Assoc., 98th Ann. Convention), The Gangue, no. 41, p. 5–7.

[31]

Morton, R. L., and Nebel, M. L., 1984, Hydrothermal alteration of felsic volcanic rocks at the Helen siderite deposit, Wawa, Ontario: Econ. Geology, v. 79, no. 6, p. 1319–1333. 10.2113/gsecongeo.79.6.1319

[32]

Nicholls, J., 1988, The statistics of Pearce element diagrams and the Chayes closure problem: Contrib. Mineral. Petrol., v. 99, no. 6, p. 11–24. 10.1007/bf00399361

[33]

Pearce, J. A., Harris, N. B. W., and Tindle, A. G., 1984, Trace element discrimination diagrams for the tectonic interpretation of granitic rocks: Jour. Petrology, v. 25, no. 4, p. 956–983. 10.1093/petrology/25.4.956

[34]

Pearce, T. H., 1968, A contribution to the theory of variation diagrams: Contrib. Mineral. Petrol., v. 19, no. 2, p. 142–157. 10.1007/bf00635485

[35]

Rock, N. M. S., 1988, Numerical geology: A source guide, glossary and selective bibliography to geological uses of computers and statistics: Springer-Verlag, Berlin, 427 p.

[36]

Russell, J. K., 1986, A FORTRAN 77 computer program for the least-squares analysis of chemical data in Pearce variation diagrams: Computer & Geosciences, v. 12, no. 3, p. 327–338. 10.1016/0098-3004(86)90039-7

[37]

Russell, J. K., and Nicholls, J., 1988, Analysis of petrologic hypotheses with Pearce element ratios: Contrib. Mineral. Petrol., v. 99, no. 1, p. 25–35. 10.1007/bf00399362

[38]

Russell, J. K., and Stanley, C. R., 1990, A theoretical basis for the development and use of chemical variation diagrams: Geochimica Cosmochimica Acta, v. 54, no. 9, p. 2419–2431. 10.1016/0016-7037(90)90229-e

[39]

Sarmanov, O. V., and Vistelius, A. B., 1959, On the correlation of percentage values: Doklady Akad. Nauk SSSR., v. 126, p. 22–25.

[40]

Shand, S. J., 1947, Eruptive rocks: John Wiley & Sons, New York, 488 p.

[41]

Sharp, W. E., 1989, Opening the closure problem (abst.): Geol. Soc. America, Abstracts with Programs, v. 21, p. A58.

[42]

Silver, L. T., and Chappell, B. W., 1988, The Peninsular Ranges Batholith: an insight into the evolution of the Cordilleran batholiths of southwestern North America: Trans. Roy. Soc. Edinburgh, Earth Sci., v. 79, no. 2–3, p. 105–121. 10.1017/s0263593300014152

[43]

Stanley, C. R., and Russell, J. K., 1989, Petrologic hypothesis testing with Pearce element ratio diagrams: derivation of diagram axes: Contrib. Mineral. Petrol., v. 103, no. 1, p. 78–89. 10.1007/bf00371366

[44]

Tarney, J. and Jones, E. C., 1994, Trace element geochemistry of orogenic igneous rocks and crustal growth models: Jour. Geol. Soc., v. 151, pt. 5, p. 855–868. 10.1144/gsjgs.151.5.0855

[45]

Tuominen, H. V., 1964, The trends of differentiation in percentage diagrams: Jour. Geology, v. 72, no. 6, p. 855–860. 10.1086/627037

[46]

Tyrrell, G. W., 1948, A boring through the Lugar Sill: Geol. Soc. Glasgow Trans., v. 21, pt. 2, p. 157–202. 10.1144/transglas.21.2.157

[47]

Tyrrell, G. W., 1952, A second boring through the Lugar Sill: Geol. Soc. Edinburgh Trans., v. 15, p. 374–392. 10.1144/transed.15.1.374

[48]

Vistelius, A. B., 1945, Frequency distribution of porosity coefficients and epigenetic processes in Spiriferrous layers in the oil-bearing region of Buguruslan: Comp. Rend. (Doklady) Acad. Aci. SSSR., v. 44, p. 43–46.

[49]

Vistelius, A. B., 1989, The oldest laboratory of mathematical geology (USSR) and its seminar: Math. Geology, v. 21, no. 8, p. 921–946. 10.1007/bf00894456

[50]

Vistelius, A. B., 1992, Principles of mathematical geology: Kluwer Academic Publ., Dordrecht, 477 p. 10.1007/978-94-011-2934-3

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Published: Aug 01, 1995
Vol/Issue: 27(6)
Pages: 789-806
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E. H. Timothy Whitten

Cite This Article

E. H. Timothy Whitten (1995). Open and closed compositional data in petrology. Mathematical Geology, 27(6), 789-806. https://doi.org/10.1007/bf02273538

Open and closed compositional data in petrology

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