Propagating errors in decay equations: Examples from the Re-Os isotopic system

Geochimica et Cosmochimica Acta

Volumn 61, Issue 14, 1997, Pages 3019-3024

  Sambridge, Malcolm ^a   Lambert, David D ^b  

^a AUSTRALIAN NATIONAL UNIVERSITY   (Australia)

^b MONASH UNIVERSITY   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001716723     PISSN: 00167037     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0016-7037(97)00130-0     Document Type: Note

References (28)

1. Allègre C. J. and Luck J.-M. (1980) Osmium isotopes as petrogenetic and geological tracers. Earth Planet. Sci. Lett. 48, 148-154.
2. Bennett V. C. and Esat T. M. (1995) The osmium isotopic composition of the early Archean mantle. Trans. Amer. Geophys. Union 76, 545.
3. Brooks C., Hart S. R., and Wendt I. (1972) Realistic use of two-error regression treatments as applied to rubidium-strontium data. Rev. Geophys. Space Phys. 10, 551-577.
4. Esser B. K. and Turekian K. K. (1993) The osmium isotopic composition of the continental crust. Geochim. Cosmochim. Acta 57, 3093-3104.
5. Foster J. G., Lambert D. D., Frick L. R., and Maas R. (1996) ReOs isotopic evidence for genesis of Archaean nickel ores from uncontaminated komatiites. Nature 382, 703-706.
6. Hauri E. K. and Hart S. R. (1993) Re-Os isotope systematics of HIMU and EMII oceanic island basalts from the south Pacific Ocean. Earth Planet. Sci. Lett. 114, 353-371.
7. Lambert D. D. et al. (1994) Re-Os and Sm-Nd isotope geochemistry of the Stillwater Complex, Montana: Implications for the petrogenesis of the J-M Reef. J. Petrol. 35, 1717-1753.
8. 187Re. Geochim. Cosmochim. Acta 53, 1597-1606.
9. Martin C. E. (1991) Osmium isotopic characteristics of mantle-derived rocks. Geochim. Cosmochim. Acta 55, 1421-1434.
10. Martin C. E. and Turekian K. K. (1987) Osmium isotope systematics in abyssal peridotites: Implications for mantle evolution. Geol. Soc. Amer. Abstr. Prog. 19, 761.
11. McIntyre G. A., Brooks C., Compston W., and Turek A. (1966) The statistical assessment of Rb-Sr isochrons. J. Geophys. Res. 71, 5459-5468.
12. Meyer P. L. (1965) Introductory Probability and Statistical Applications. Addison-Wesley.
13. Mitchell R. H. and Keays R. R. (1981) Abundance and distribution of gold, palladium, and iridium in some spinel and garnet lherzolites: Implications for the nature and origin of precious metal-rich intergranular components in the upper mantle. Geochim. Cosmochim. Acta 45, 2425-2442.
14. Morgan J. W. (1986) Ultramafic xenoliths: Clues to the Earth's late accretionary history. J. Geophys. Res. 91, 12375-12387.
15. Morgan J. W., Wandless G. A., Petrie R. K., and Irving A. J. (1981) Composition of the Earth's upper mantle - I. Siderophile trace elements in upper mantle nodules. Tectonophysics 75, 47-67.
16. Morgan J. W., Horan M. F., Walker R. J., and Grossman J. N. (1995) Rhenium-osmium concentration and isotope systematics in group IIAB iron meteorites. Geochim. Cosmochim. Acta 59, 2331-2344.
17. Papoulis A. (1991) Probability, Random Variables and Stochastic Processes, 3d ed. McGraw-Hill.
18. Press W. H., Teukolsky S. A., Vetterling W. T., and Flannery B. P. (1992) Numerical Recipes in FORTRAN: The Art of Scientific Computing, 2d edn. Cambridge University Press.
19. Shirey S. B. and Walker R. J. (1994) Re-Os isotopic evidence for evolution of the source of ultramafic magmatism, Archean to the present. Trans. Amer. Geophys. Union 75, 690.
20. Snow J. E. and Reisberg L. (1995) Os isotopic systematics of the MORB mantle: Results from altered abyssal peridotites. Earth Planet. Sci. Lett. 133, 411-421.
21. Snow J. E., Hart S. R., and Dick H. J. B. (1991) Os isotopic composition of the oceanic upper mantle. Trans. Amer. Geophys. Union 72, 527.
22. Tarantula A. (1987) Inverse Problem Theory. Elsevier.
23. Walker R. J. and Morgan J. W. (1989) Rhenium-osmium systematics of carbonaceous chondrites. Science 243, 519-522.
24. Walker R. J., Shirey S. B., and Stecher O. (1988) Comparative ReOs, Sm-Nd and Rb-Sr isotope and trace element systematics for Archean komatiite flows from Munro Township, Abitibi Belt, Ontario. Earth Planet. Sci. Lett. 87, 1-12.
25. Walker R. J. et al. (1994) Re-Os isotopic evidence for an enriched-mantle plume source for the Noril'sk-type ore-bearing intrusions, Siberia. Geochim. Cosmochim. Acta 58, 4179-4198.
26. York D. (1967) The best isochron. Earth Planet. Sci. Lett. 2, 479-482.
27. York D. (1969) Least squares fitting of a straight line with correlated errors. Earth Planet. Sci. Lett. 5, 320-324.
28. Zindler A. and Hart S. R. (1986) Chemical geodynamics. Ann. Rev. Earth Planet. Sci. 14, 493-571.