IGGCAS OpenIR  > 岩石圈演化国家重点实验室
Monte Carlo sampling for error propagation in linear regression and applications in isochron geochronology
Li, Yang1,2,3; Zhang, Shuang3; Hobbs, Richard2; Caiado, Camila4; Sproson, Adam D.2,5; Selby, David2; Rooney, Alan D.3
2019-02-15
Source PublicationSCIENCE BULLETIN
ISSN2095-9273
Volume64Issue:3Pages:189-197
AbstractGeochronology is essential for understanding Earth's history. The availability of precise and accurate isotopic data is increasing; hence it is crucial to develop transparent and accessible data reduction techniques and tools to transform raw mass spectrometry data into robust chronological data. Here we present a Monte Carlo sampling approach to fully propagate uncertainties from linear regressions for isochron dating. Our new approach makes no prior assumption about the causes of variability in the derived chronological results and propagates uncertainties from both experimental measurements (analytical uncertainties) and underlying assumptions (model uncertainties) into the final age determination. Using synthetic examples, we find that although the estimates of the slope and y-intercept (hence age and initial isotopic ratios) are comparable between the Monte Carlo method and the benchmark ``Isoplot" algorithm, uncertainties from the later could be underestimated by up to 60%, which are likely due to an incomplete propagation of model uncertainties. An additional advantage of the new method is its ability to integrate with geological information to yield refined chronological constraints. The new method presented here is specifically designed to fully propagate errors in geochronological applications involves linear regressions such as Rb-Sr, Sm-Nd, Re-Os, Pt-Os, Lu-Hf, U-Pb (with discordant points), Pb-Pb and Ar-Ar. (C) 2018 Science China Press. Published by Elsevier B.V. and Science China Press. All rights reserved.
KeywordLinear regression Isochron Geochronology Uncertainty propagation Monte Carlo Isoplot
DOI10.1016/j.scib.2018.12.019
Funding OrganizationState Key Laboratory of Lithospheric Evolution, Institute of Geology and Geophysics, Chinese Academy of Sciences ; State Key Laboratory of Lithospheric Evolution, Institute of Geology and Geophysics, Chinese Academy of Sciences ; Yale University ; Yale University ; State Key Laboratory of Lithospheric Evolution, Institute of Geology and Geophysics, Chinese Academy of Sciences ; State Key Laboratory of Lithospheric Evolution, Institute of Geology and Geophysics, Chinese Academy of Sciences ; Yale University ; Yale University ; State Key Laboratory of Lithospheric Evolution, Institute of Geology and Geophysics, Chinese Academy of Sciences ; State Key Laboratory of Lithospheric Evolution, Institute of Geology and Geophysics, Chinese Academy of Sciences ; Yale University ; Yale University ; State Key Laboratory of Lithospheric Evolution, Institute of Geology and Geophysics, Chinese Academy of Sciences ; State Key Laboratory of Lithospheric Evolution, Institute of Geology and Geophysics, Chinese Academy of Sciences ; Yale University ; Yale University
WOS KeywordCALIBRATION ; AGES ; STANDARDS ; ACCURACY ; OSMIUM
Language英语
Funding ProjectState Key Laboratory of Lithospheric Evolution, Institute of Geology and Geophysics, Chinese Academy of Sciences[SKL-K201706] ; Yale University
Funding OrganizationState Key Laboratory of Lithospheric Evolution, Institute of Geology and Geophysics, Chinese Academy of Sciences ; State Key Laboratory of Lithospheric Evolution, Institute of Geology and Geophysics, Chinese Academy of Sciences ; Yale University ; Yale University ; State Key Laboratory of Lithospheric Evolution, Institute of Geology and Geophysics, Chinese Academy of Sciences ; State Key Laboratory of Lithospheric Evolution, Institute of Geology and Geophysics, Chinese Academy of Sciences ; Yale University ; Yale University ; State Key Laboratory of Lithospheric Evolution, Institute of Geology and Geophysics, Chinese Academy of Sciences ; State Key Laboratory of Lithospheric Evolution, Institute of Geology and Geophysics, Chinese Academy of Sciences ; Yale University ; Yale University ; State Key Laboratory of Lithospheric Evolution, Institute of Geology and Geophysics, Chinese Academy of Sciences ; State Key Laboratory of Lithospheric Evolution, Institute of Geology and Geophysics, Chinese Academy of Sciences ; Yale University ; Yale University
WOS Research AreaScience & Technology - Other Topics
WOS SubjectMultidisciplinary Sciences
WOS IDWOS:000460873100008
PublisherELSEVIER SCIENCE BV
Citation statistics
Document Type期刊论文
Identifierhttp://ir.iggcas.ac.cn/handle/132A11/90909
Collection岩石圈演化国家重点实验室
Corresponding AuthorLi, Yang
Affiliation1.Chinese Acad Sci, State Key Lab Lithospher Evolut, Inst Geol & Geophys, Beijing 100029, Peoples R China
2.Univ Durham, Dept Earth Sci, Durham DH1 3LE, England
3.Yale Univ, Dept Geol & Geophys, POB 6666, New Haven, CT 06511 USA
4.Univ Durham, Dept Math Sci, Durham DH1 3LE, England
5.Univ Tokyo, Atmosphere & Ocean Res Inst, 5-1-5 Kashiwa No Ha, Kashiwa, Chiba 2778564, Japan
Recommended Citation
GB/T 7714
Li, Yang,Zhang, Shuang,Hobbs, Richard,et al. Monte Carlo sampling for error propagation in linear regression and applications in isochron geochronology[J]. SCIENCE BULLETIN,2019,64(3):189-197.
APA Li, Yang.,Zhang, Shuang.,Hobbs, Richard.,Caiado, Camila.,Sproson, Adam D..,...&Rooney, Alan D..(2019).Monte Carlo sampling for error propagation in linear regression and applications in isochron geochronology.SCIENCE BULLETIN,64(3),189-197.
MLA Li, Yang,et al."Monte Carlo sampling for error propagation in linear regression and applications in isochron geochronology".SCIENCE BULLETIN 64.3(2019):189-197.
Files in This Item:
There are no files associated with this item.
Related Services
Recommend this item
Bookmark
Usage statistics
Export to Endnote
Google Scholar
Similar articles in Google Scholar
[Li, Yang]'s Articles
[Zhang, Shuang]'s Articles
[Hobbs, Richard]'s Articles
Baidu academic
Similar articles in Baidu academic
[Li, Yang]'s Articles
[Zhang, Shuang]'s Articles
[Hobbs, Richard]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[Li, Yang]'s Articles
[Zhang, Shuang]'s Articles
[Hobbs, Richard]'s Articles
Terms of Use
No data!
Social Bookmark/Share
Add to CiteULike Add to Connotea Add to Del.icio.us Add to Digg Add to Reddit Add to Technorati
All comments (0)
No comment.
 

Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.