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Volumn 109, Issue 1, 2000, Pages 79-88

Error propagation in equations for geochemical modeling of radiogenic isotopes in two-component mixing

Author keywords

Cocos plate; Error propagation; Geochemistry; Isotopic ratios; Mexico; Mixing

Indexed keywords

GEOCHEMISTRY; MIXING; MODELING;

EID: 0034032492     PISSN: 02534126     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02719151     Document Type: Article
Times cited : (8)

References (68)
  • 1
    • 0004415369 scopus 로고
    • Some trace element relationships amongst liquid and solid phases in the course of the fractional crystallization of magmas; Geochim
    • Albarède F 1976 Some trace element relationships amongst liquid and solid phases in the course of the fractional crystallization of magmas; Geochim. Cosmochim. Acta 40 667-673.
    • (1976) Cosmochim. Acta , vol.40 , pp. 667-673
    • Albarède, F.1
  • 2
    • 0020968814 scopus 로고
    • Inversion of batch melting equations and the trace element pattern of the mantle; J
    • Albarède F 1983 Inversion of batch melting equations and the trace element pattern of the mantle; J. Geophys. Res. 88 10573-10583.
    • (1983) Geophys. Res. , vol.88 , pp. 10573-10583
    • Albarède, F.1
  • 4
    • 0000418003 scopus 로고
    • Petrological and geochemical mass balance: An algorithm for least-squares fitting and general error analysis; Comput
    • Albarède F and Provost A 1977 Petrological and geochemical mass balance: an algorithm for least-squares fitting and general error analysis; Comput. Geosci. 3 309-326.
    • (1977) Geosci. , vol.3 , pp. 309-326
    • Albarède, F.1    Provost, A.2
  • 5
    • 0004509198 scopus 로고
    • Quantitative models of trace element behavior in magmatic processes; Earth Planet
    • Allègre C J and Minster J F 1978. Quantitative models of trace element behavior in magmatic processes; Earth Planet. Sei. Lett. 38 1-25.
    • (1978) Sei. Lett. , vol.38 , pp. 1-25
    • Allègre, C.J.1    Minster, J.F.2
  • 6
    • 49349138320 scopus 로고
    • Magma mixing: Petrological and volcanological tool; J
    • Anderson A T 1976 Magma mixing: petrological and volcanological tool; J. Volcanol. Geotherm. Res. 1 3-33.
    • (1976) Volcanol. Geotherm. Res. , vol.1 , pp. 3-33
    • Anderson, A.T.1
  • 10
    • 49049151240 scopus 로고
    • Trace element and isotopic effects of combined wallrock assimilation and fractional crystallization; Earth Planet
    • DePaolo D J 1981 Trace element and isotopic effects of combined wallrock assimilation and fractional crystallization; Earth Planet. Sei. Lett. 53 189-202
    • (1981) Sei. Lett. , vol.53 , pp. 189-202
    • Depaolo, D.J.1
  • 11
    • 0022169321 scopus 로고
    • Isotopic studies of processes in mafic magma chambers; J
    • DePaolo D J 1985 Isotopic studies of processes in mafic magma chambers; J. Petrol. 4 925r951.
    • (1985) Petrol. , vol.4
    • Depaolo, D.J.1
  • 12
    • 84944831187 scopus 로고
    • Nd isotopic variations and petrogenetic models; Geophys
    • DePaolo D J and Wasserburg G J 1979 Nd isotopic variations and petrogenetic models; Geophys. Res. Lett. 3 249-252
    • (1979) Res. Lett. , vol.3 , pp. 249-252
    • Depaolo, D.J.1    Wasserburg, G.J.2
  • 15
    • 0000357499 scopus 로고
    • Trace element fractionation and the origin of tholeiitic and alkaline magma types; Geochim
    • Gast P W 1968 Trace element fractionation and the origin of tholeiitic and alkaline magma types; Geochim. Cosmochim. Ada 32, 1057-1086
    • (1968) Cosmochim. Ada , vol.32 , pp. 1057-1086
    • Gast, P.W.1
  • 16
    • 84982656508 scopus 로고
    • 1987 compilation of elemental concentration data for USGS BIR-1, DNC-1 and W-2; Geostand
    • Gladney E S and Roelandts I 1988 1987 compilation of elemental concentration data for USGS BIR-1, DNC-1 and W-2; Geostand. Newslett. 12 63-118
    • (1988) Newslett. , vol.12 , pp. 63-118
    • Gladney, E.S.1    Roelandts, I.2
  • 17
    • 84982585853 scopus 로고
    • 1994 report on Whin Sill dolerite WS-E and Pittscurrie microgabbro PM-S from Scotland: Assessment by one hundred and four international laboratories; Geostand
    • Govindaraju K, Potts P J, Webb P C and Watson J S 1994 1994 report on Whin Sill dolerite WS-E and Pittscurrie microgabbro PM-S from Scotland: assessment by one hundred and four international laboratories; Geostand. Newslett. 18 211-300
    • (1994) Newslett. , vol.18 , pp. 211-300
    • Govindaraju, K.1    Potts, P.J.2    Webb, P.C.3    Watson, J.S.4
  • 18
    • 0001740520 scopus 로고
    • An equation for trace element distribution during magmatic crystallization; Am
    • Greenland L P 1970 An equation for trace element distribution during magmatic crystallization; Am. Afineral. 55 455-465
    • (1970) Afineral. , vol.55 , pp. 455-465
    • Greenland, L.P.1
  • 19
    • 0344586464 scopus 로고
    • Statistical analysis of errors: A practical approach for an undergraduate Chemistry lab
    • Guedens W J, Yperman J, Mullens J, Van Poucke L C and Pauwels E J 1993a Statistical analysis of errors: a practical approach for an undergraduate Chemistry lab. Part 1. The concepts; J. Chem. Educ. 70 776-779
    • (1993) Part , vol.1 , pp. 70776-70779
    • Guedens, W.J.1    Yperman, J.2    Mullens, J.3    Van Poucke, L.C.4    Pauwels, E.J.5
  • 20
    • 0347381827 scopus 로고
    • Statistical analysis of errors: A practical approach for an undergraduate Chemistry lab
    • Guedens W J, Yperman J, Mullens J, Van Poucke L C and Pauwels E J 1993b Statistical analysis of errors: a practical approach for an undergraduate Chemistry lab. Part 2. Some worked examples; J. Chem. Educ. 70 776-779
    • (1993) Part , vol.2 , pp. 70776-70779
    • Guedens, W.J.1    Yperman, J.2    Mullens, J.3    Van Poucke, L.C.4    Pauwels, E.J.5
  • 21
    • 0025192814 scopus 로고
    • Modeling of trace element distribution in magma chambers using open-system models; Comput
    • Hagen II and Neumann E-R 1990 Modeling of trace element distribution in magma chambers using open-system models; Comput. Geosci. 16 549-556
    • (1990) Geosci. , vol.16 , pp. 549-556
    • Hagen, I.I.1    Neumann, E.-R.2
  • 22
    • 0000765819 scopus 로고
    • The application of trace elements to the petrogenesis of igneous rocks for granitic composition; Earth
    • Hanson G N 1978 The application of trace elements to the petrogenesis of igneous rocks for granitic composition; Earth. Planet Sei. Lett. 38 26-43
    • (1978) Planet Sei. Lett. , vol.38 , pp. 26-43
    • Hanson, G.N.1
  • 23
    • 0001141409 scopus 로고
    • Calculation of trace element fractionation during partial melting; Geochim
    • Hertogen J and Gijbels R 1976 Calculation of trace element fractionation during partial melting; Geochim. Cosmochim. Acta 40 313-322
    • (1976) Cosmochim. Acta , vol.40 , pp. 313-322
    • Hertogen, J.1    Gijbels, R.2
  • 24
    • 84987532028 scopus 로고
    • 1994 compilation of analytical data for minor and trace elements in seventeen GSJ geochemical reference samples, "igneous rock series"; Geostand
    • Imai N, Terashima S, Itoh S and. Ando A 1995 1994 compilation of analytical data for minor and trace elements in seventeen GSJ geochemical reference samples, "igneous rock series"; Geostand. Newslett. 19 135-213
    • (1995) Newslett. , vol.19 , pp. 135-213
    • Imai, N.1    Terashima, S.2    And, I.S.3    Ando, A.4
  • 26
    • 0000017826 scopus 로고
    • A general mixing equation with applications to Icelandic basalts; Earth Planet
    • Langmuir C H, Vocke R D, Hanson G N and Hart S R 1978 A general mixing equation with applications to Icelandic basalts; Earth Planet. Sei. Lett. 37 380-392
    • (1978) Sei. Lett. , vol.37 , pp. 380-392
    • Langmuir, C.H.1    Vocke, R.D.2    Hanson, G.N.3    Hart, S.R.4
  • 30
    • 0028262607 scopus 로고
    • Estimation of the degree of partial melting using concentration ratios; Geochim
    • Maaloe S 1994 Estimation of the degree of partial melting using concentration ratios; Geochim. Cosmochim. Acta 58 2519-2525
    • (1994) Cosmochim. Acta , vol.58 , pp. 2519-2525
    • Maaloe, S.1
  • 32
    • 38249037313 scopus 로고
    • Mass balance calculations with end member compositional variability: Applications to petrologic problems; Earth Planet
    • Myers J D, Angevine C L and Frost C D 1987 Mass balance calculations with end member compositional variability: applications to petrologic problems; Earth Planet. Sei. Lett. 81 212-220
    • (1987) Sei. Lett. , vol.81 , pp. 212-220
    • Myers, J.D.1    Angevine, C.L.2    Frost, C.D.3
  • 33
    • 0002164421 scopus 로고
    • Trace element variations during fractional crystallization as calculated from the distribution law; Geochim
    • Neumann H, Mead J and Vitaliano C J 1954 Trace element variations during fractional crystallization as calculated from the distribution law; Geochim. Cosmochim. Acta 6 90-99
    • (1954) Cosmochim. Acta , vol.6 , pp. 90-99
    • Neumann, H.1    Mead, J.2    Vitaliano, C.J.3
  • 34
    • 0030483193 scopus 로고    scopus 로고
    • The highly compatible trace element paradox-fractional crystallization revisited; J
    • O'Hara M J and Fry N 1996a The highly compatible trace element paradox-fractional crystallization revisited; J. Pet-rol. 37 859-890
    • (1996) Pet-rol. , vol.37 , pp. 859-890
    • O'Hara, M.J.1    Fry, N.2
  • 35
    • 0030499370 scopus 로고    scopus 로고
    • Geochemical effects of small packet crystallization in large magma chambers - Further resolution of the highly compatible element paradox; J
    • O'IIara M J and Fry N 1996b Geochemical effects of small packet crystallization in large magma chambers - further resolution of the highly compatible element paradox; J. Petrol. 37 891-925
    • (1996) Petrol. , vol.37 , pp. 891-925
    • O'Iiara, M.J.1    Fry, N.2
  • 37
    • 33747832235 scopus 로고    scopus 로고
    • ISO, producers and users; Geostand
    • Organization of Standardisation (ISO), producers and users; Geostand. Newslett. 16 133-341
    • Newslett. , vol.16 , pp. 133-341
    • Standardisation, O.O.1
  • 38
    • 0021423976 scopus 로고
    • Inversion of the assimilation and fractional crystallisation (AFC) equations: Characterization of contaminants from isotope and trace element relationships in volcanic suites; J
    • Powell R 1984 Inversion of the assimilation and fractional crystallisation (AFC) equations: characterization of contaminants from isotope and trace element relationships in volcanic suites; J. Geol. Soc. London 141 447-452
    • (1984) Geol. Soc. London , vol.141 , pp. 447-452
    • Powell, R.1
  • 41
    • 0042850140 scopus 로고
    • Evaluaciôn de errores en el uso de los geotermômetros quimicos para la prospecciôn de recursos geotérmicos; Actas Fac
    • Santoyo E and Verma S P 1991 Evaluaciôn de errores en el uso de los geotermômetros quimicos para la prospecciôn de recursos geotérmicos; Actas Fac. Ciencias Tierra UANL Linares 6 5-10
    • (1991) Ciencias Tierra UANL Linares , vol.6 , pp. 5-10
    • Santoyo, E.1    Verma, S.P.2
  • 42
    • 0027870726 scopus 로고
    • Evaluaciôn de errores en el uso de los geotermâmetros de SiI2 y Na/K para la determinaciôn de temperaturas en sistemas geotérmicos; Geofis
    • Santoyo E and Verma S P 1993 Evaluaciôn de errores en el uso de los geotermâmetros de Siu2 y Na/K para la determinaciôn de temperaturas en sistemas geotérmicos; Geofis. Int. 32 287-298.
    • (1993) Int. , vol.32 , pp. 287-298
    • Santoyo, E.1    Verma, S.P.2
  • 44
    • 39549083463 scopus 로고
    • Trace element fractionation during anatexis; Geochim
    • Shaw D M 1970 Trace element fractionation during anatexis; Geochim. Cosmochim. Ada 34 237-243
    • (1970) Cosmochim. Ada , vol.34 , pp. 237-243
    • Shaw, D.M.1
  • 46
    • 0000518673 scopus 로고
    • The effects of assimilation of country rocks by magmas on 18O/16O and 87Sr/86Sr systematics; Earth Planet
    • Taylor H P Jr 1980 The effects of assimilation of country rocks by magmas on 18O/16O and 87Sr/86Sr systematics; Earth Planet. Sei. Lett. 47 243-254
    • (1980) Sei. Lett. , vol.47 , pp. 243-254
    • Taylor, H.P.1
  • 51
    • 0031803893 scopus 로고    scopus 로고
    • Importance of skewness and kurtosis statistical tests for outlier detection and elimination in evaluation of geochemical reference materials; Math
    • Velasco F and Verma S P 1998 Importance of skewness and kurtosis statistical tests for outlier detection and elimination in evaluation of geochemical reference materials; Math. Geol. 30 109-128
    • (1998) Geol. , vol.30 , pp. 109-128
    • Velasco, F.1    Verma, S.P.2
  • 52
    • 0019707240 scopus 로고
    • Mass spectrometric isotope dilution determination of K, Rb, Cs, Ba and Sr in five geochemical reference samples; Geostand
    • Verma S P 1981 Mass spectrometric isotope dilution determination of K, Rb, Cs, Ba and Sr in five geochemical reference samples; Geostand. Newslett. 5 129-131
    • (1981) Newslett. , vol.5 , pp. 129-131
    • Verma, S.P.1
  • 53
    • 0027091763 scopus 로고
    • Seawater alteration effects on REE, K, Rb, Cs, Sr, U, Th, Pb and Sr-Nd-Pb isotope systematics of MidOcean Ridge Basalt; Geochem
    • Verma S P 1992 Seawater alteration effects on REE, K, Rb, Cs, Sr, U, Th, Pb and Sr-Nd-Pb isotope systematics of MidOcean Ridge Basalt; Geochem. J., 26 159-177.
    • (1992) J. , vol.26 , pp. 159-177
    • Verma, S.P.1
  • 55
    • 0010381317 scopus 로고    scopus 로고
    • Error propagation in trace element modelling of some igneous processes; J
    • Verma S P 1996 Error propagation in trace element modelling of some igneous processes; J. Conf. Abstr. 1 649
    • (1996) Conf. Abstr. , vol.1 , pp. 649
    • Verma, S.P.1
  • 56
    • 0041848084 scopus 로고    scopus 로고
    • Evaluation of accuracy in analytical geochemistry; J
    • Verma S P 1996b Evaluation of accuracy in analytical geochemistry; J. Conf. Abstr. 1 650
    • (1996) Conf. Abstr. , vol.1 , pp. 650
    • Verma, S.P.1
  • 57
    • 0002333968 scopus 로고    scopus 로고
    • Sixteen statistical tests for outlier detection and rejection in evaluation of international geochemical reference materials: Example of microgabbro PM-S; Geostand
    • Verma S P 1997 Sixteen statistical tests for outlier detection and rejection in evaluation of international geochemical reference materials: example of microgabbro PM-S; Geostand. Newslett.: J. Geostand. Geoanal. 21 59-75
    • (1997) Newslett.: J. Geostand. Geoanal. , vol.21 , pp. 59-75
    • Verma, S.P.1
  • 59
    • 0005440478 scopus 로고    scopus 로고
    • Geochemistry of subducting Cocos plate and the origin of subduction-unrelated mafic volcanism at the volcanic front of central Mexican Volcanic Belt
    • Chapter 13 (in press)
    • Verma S P 1999 Geochemistry of subducting Cocos plate and the origin of subduction-unrelated mafic volcanism at the volcanic front of central Mexican Volcanic Belt; Geol. Soc. Am. Spec. Paper on Cenozoic Tectonics and Volcanism of Mexico 334, Chapter 13 (in press)
    • (1999) Geol. Soc. Am. Spec. Paper on Cenozoic Tectonics and Volcanism of Mexico 334
    • Verma, S.P.1
  • 60
    • 0041347407 scopus 로고
    • New improved equations for Na/K and SiU2 geothermometers by error propagation; Proc
    • Verma S P and Santoyo E 1995 New improved equations for Na/K and SiU2 geothermometers by error propagation; Proc. World Gcotherm. Congr. 2 963-968
    • (1995) World Gcotherm. Congr. , vol.2 , pp. 963-968
    • Verma, S.P.1    Santoyo, E.2
  • 61
    • 0031251913 scopus 로고    scopus 로고
    • New improved equations for Na/K, Na/Li and SiO2 geothermometers by outlier detection and rejection; J
    • Verma S P and Santoyo E 1997 New improved equations for Na/K, Na/Li and SiO2 geothermometers by outlier detection and rejection; J. Volcanol. Geotherm. Res. 79 9-23
    • (1997) Volcanol. Geotherm. Res. , vol.79 , pp. 9-23
    • Verma, S.P.1    Santoyo, E.2
  • 62
    • 0020453053 scopus 로고
    • Galapagos Hotspot-Spreading Center system. 2. 87Sr/ Sr and large ion lithophile element variations (85°W-101°W); J
    • Verma S P and Schilling J-G 1982 Galapagos Hotspot-Spreading Center system. 2. 87Sr/ Sr and large ion lithophile element variations (85°W-101°W); J. Geophys. Res. 87, 10838-10856
    • (1982) Geophys. Res. , vol.87 , pp. 10838-10856
    • Verma, S.P.1    Schilling, J.-G.2
  • 65
    • 0000988323 scopus 로고    scopus 로고
    • SIPVADE: A new computer program with seventeen statistical tests for outlier detection in evaluation of international geochemical reference materials and its application to Whin Sill dolerite WS-E from England and Soil-5 from Peru; Geostand
    • Verma S P, Orduna-Galvdn J L and Guevara M 1998 SIPVADE: A new computer program with seventeen statistical tests for outlier detection in evaluation of international geochemical reference materials and its application to Whin Sill dolerite WS-E from England and Soil-5 from Peru; Geostand. Newslett.: J. Geostand. Geoanal, 22 209-234
    • (1998) Newslett.: J. Geostand. Geoanal , vol.22 , pp. 209-234
    • Verma, S.P.1    Orduna-Galvdn, J.L.2    Guevara, M.3
  • 68
    • 0000717442 scopus 로고
    • A linear programming and least squares computer method for solving petrologic mixing problems; Geol
    • Wright T L and P C Doherty 1970 A linear programming and least squares computer method for solving petrologic mixing problems; Geol. Soc. Am. Bull. 81 1995-2008
    • (1970) Soc. Am. Bull. , vol.81 , pp. 1995-2008
    • Wright, T.L.1    Doherty, P.C.2


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