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Maximum depositional age estimation revisited

Pieter Vermeesch

Pieter Vermeesch. Maximum depositional age estimation revisited[J]. 地学前缘, 2021, 12(2): 843-850. DOI: 10.1016/j.gsf.2020.08.008
引用本文: Pieter Vermeesch. Maximum depositional age estimation revisited[J]. 地学前缘, 2021, 12(2): 843-850. DOI: 10.1016/j.gsf.2020.08.008
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Pieter Vermeesch. Maximum depositional age estimation revisited[J]. Geoscience Frontiers, 2021, 12(2): 843-850. DOI: 10.1016/j.gsf.2020.08.008
Citation: Pieter Vermeesch. Maximum depositional age estimation revisited[J]. Geoscience Frontiers, 2021, 12(2): 843-850. DOI: 10.1016/j.gsf.2020.08.008
shu

Maximum depositional age estimation revisited

  • Department of Earth Sciences, University College London, Gower Street, London WC1E 6BT, United Kingdom

基金项目: 

P.V. would like to thank George Gehrels, Peter Copeland and Daniel Coutts for constructive reviews that significantly improved the paper. This research was supported by NERC standard grant #NE/T001518/1 (‘Beyond Isoplot’).

详细信息
    通讯作者:

    Pieter Vermeesch,E-mail:p.vermeesch@ucl.ac.uk

Maximum depositional age estimation revisited

  • Department of Earth Sciences, University College London, Gower Street, London WC1E 6BT, United Kingdom

Funds: 

P.V. would like to thank George Gehrels, Peter Copeland and Daniel Coutts for constructive reviews that significantly improved the paper. This research was supported by NERC standard grant #NE/T001518/1 (‘Beyond Isoplot’).

摘要

    摘要
  • 摘要: In a recent review published in this journal, Coutts et al. (2019) compared nine different ways to estimate the maximum depositional age (MDA) of siliclastic rocks by means of detrital geochronology. Their results show that among these methods three are positively and six negatively biased. This paper investigates the cause of these biases and proposes a solution to it. A simple toy example shows that it is theoretically impossible for the reviewed methods to find the correct depositional age in even a best case scenario: the MDA estimates drift to ever smaller values with increasing sample size. The issue can be solved using a maximum likelihood model that was originally developed for fission track thermochronology by Galbraith and Laslett (1993). This approach parameterises the MDA estimation problem with a binary mixture of discrete and continuous distributions. The ‘Maximum Likelihood Age’ (MLA) algorithm converges to a unique MDA value, unlike the ad hoc methods reviewed by Coutts et al. (2019). It successfully recovers the depositional age for the toy example, and produces sensible results for realistic distributions. This is illustrated with an application to a published dataset of 13 sandstone samples that were analysed by both LA-ICPMS and CA-TIMS U-Pb geochronology. The ad hoc algorithms produce unrealistic MDA estimates that are systematically younger for the LA-ICPMS data than for the CA-TIMS data. The MLA algorithm does not suffer from this negative bias. The MLA method is a purely statistical approach to MDA estimation. Like the ad hoc methods, it does not readily accommodate geological complications such as post-depositional Pb-loss, or analytical issues causing erroneously young outliers. The best approach in such complex cases is to re-analyse the youngest grains using more accurate dating techniques. The results of the MLA method are best visualised on radial plots. Both the model and the plots have applications outside detrital geochronology, for example to determine volcanic eruption ages.
    Abstract: In a recent review published in this journal, Coutts et al. (2019) compared nine different ways to estimate the maximum depositional age (MDA) of siliclastic rocks by means of detrital geochronology. Their results show that among these methods three are positively and six negatively biased. This paper investigates the cause of these biases and proposes a solution to it. A simple toy example shows that it is theoretically impossible for the reviewed methods to find the correct depositional age in even a best case scenario: the MDA estimates drift to ever smaller values with increasing sample size. The issue can be solved using a maximum likelihood model that was originally developed for fission track thermochronology by Galbraith and Laslett (1993). This approach parameterises the MDA estimation problem with a binary mixture of discrete and continuous distributions. The ‘Maximum Likelihood Age’ (MLA) algorithm converges to a unique MDA value, unlike the ad hoc methods reviewed by Coutts et al. (2019). It successfully recovers the depositional age for the toy example, and produces sensible results for realistic distributions. This is illustrated with an application to a published dataset of 13 sandstone samples that were analysed by both LA-ICPMS and CA-TIMS U-Pb geochronology. The ad hoc algorithms produce unrealistic MDA estimates that are systematically younger for the LA-ICPMS data than for the CA-TIMS data. The MLA algorithm does not suffer from this negative bias. The MLA method is a purely statistical approach to MDA estimation. Like the ad hoc methods, it does not readily accommodate geological complications such as post-depositional Pb-loss, or analytical issues causing erroneously young outliers. The best approach in such complex cases is to re-analyse the youngest grains using more accurate dating techniques. The results of the MLA method are best visualised on radial plots. Both the model and the plots have applications outside detrital geochronology, for example to determine volcanic eruption ages.
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    • 参考文献(31)
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    52. Deng, T., Ma, A., Chew, D. et al. Revisiting the stratigraphical, sedimentological and provenance evolution of Lingshan Island, offshore of east China: Implications for the destruction of the north China craton. Marine and Petroleum Geology, 2024, 161: 106701. 必应学术
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    54. Niu, Y.-Z., Shi, G.R., Zhang, Q. et al. Ediacaran Cordilleran-type mountain ice sheets and their erosion effects. Earth-Science Reviews, 2024, 249: 104671. 必应学术
    55. Sharman, G.R., Malkowski, M.A. Modeling apparent Pb loss in zircon U-Pb geochronology. Geochronology, 2024, 6(1): 37-51. 必应学术
    56. Sanz-Pérez, D., Montalvo, C.I., Mehl, A.E. et al. Paleoenvironment and paleoecology associated with the early phases of the Great American Biotic Interchange based on stable isotope analysis of fossil mammals and new U–Pb ages from the Pampas of Argentina. Palaeogeography, Palaeoclimatology, Palaeoecology, 2024, 634: 111917. 必应学术
    57. Peck, W.H., Lin, H.Y. Provenance and depositional age of metasedimentary rocks in the Frontenac terrane (Grenville Province, Ontario). Canadian Journal of Earth Sciences, 2024, 62(5): 827-840. 必应学术
    58. Tye, A., Niemi, N.A. Detrital zircon U-Pb ages and provenance of Paleogene paleochannel strata, Sierra Nevada and western Nevada: Implications for paleotopographic evolution. Geosphere, 2024, 20(5): 1224-1246. 必应学术
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    60. Thoresen, H.E., Cassel, E.J., Smith, M.E. et al. Stratigraphic and geochronologic investigation of the Muddy Creek Basin: Implications for the Eocene tectonic evolution of southwest Montana, USA. Bulletin of the Geological Society of America, 2024, 136(9-10): 3619-3633. 必应学术
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    62. Isozaki, Y., Iwano, H., Sawaki, Y. et al. Origin of the Hida Belt, Central Japan, with Respect to the Late Triassic Granitoids-bearing Cretaceous Provenance: U-Pb Dating and Trace Element Geochemistry of Detrital Zircons in Tetori Sandstones | [後期三畳紀花崗岩類を含む白亜紀後背地からみた飛騨帯の起源-手取砂岩中のジルコン U－Pb 年代と微量化学組成-]. Journal of Geography (Chigaku Zasshi), 2024, 133(3): 195-218. 百度学术
    63. Koch, M.M., McClelland, W.C., Gilotti, J.A. et al. Early Paleozoic accretionary history of the Pearya terrane: New insights from igneous and detrital zircon signatures of the Kulutingwak Formation, Ellesmere Island, Nunavut, Canada. Geosphere, 2024, 20(3): 778-798. 必应学术
    64. Chapman, A.D., Grischuk, J., Klapper, M. et al. Middle Jurassic to Early Cretaceous orogenesis in the Klamath Mountains Province (Northern California–southern Oregon, USA) occurred by tectonic switching: Insights from detrital zircon U-Pb geochronology of the Condrey Mountain schist. Geosphere, 2024, 20(3): 749-777. 必应学术
    65. Lundstern, J.-E., Schwartz, T.M., Mercer, C.M. et al. Paleogene Sedimentary Basin Development in Southern Nevada, USA. Lithosphere, 2024, 2024(1): lithosphere_2023_225. 必应学术
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    90. Salminen, P.E., Kurhila, M. New age constraints for metasedimentary rocks in southern Finland. Bulletin of the Geological Society of Finland, 2023, 95: 83-106. 必应学术
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    96. Alexeiev, D.V., Khudoley, A.K., DuFrane, S.A. et al. Early Neoproterozoic fore-arc basin strata of the Malyi Karatau Range (South Kazakhstan): Depositional ages, provenance and implications for reconstructions of Precambrian continents. Gondwana Research, 2023, 119: 313-340. 必应学术
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    114. Kroeger, E.D.L., McClelland, W.C., Colpron, M. et al. Detrital zircon U-Pb and Hf isotope signature of Carboniferous and older strata of the Yukon-Tanana terrane in Yukon, Canadian Cordillera: Implications for terrane correlations and the onset of Late Devonian arc magmatism. Geosphere, 2023, 19(4): 1032-1056. 必应学术
    115. Wahbi, A.M., Blum, M.D., Doerger, C.N. Early Cretaceous continental-scale sediment routing, the McMurray Formation, Western Canada Sedimentary Basin, Alberta, Canada. Bulletin of the Geological Society of America, 2023, 135(7-8): 2088-2106. 必应学术
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    130. Shen, L., Wang, L., Liu, C. Age of the Mengyejing potash deposit in the Simao Basin, southwest China: Constraints from detrital zircon U-Pb ages. Ore Geology Reviews, 2022, 149: 105097. 必应学术
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    134. Gulbranson, E.L., Rasbury, E.T., Ludvigson, G.A. et al. U–Pb Geochronology and Stable Isotope Geochemistry of Terrestrial Carbonates, Lower Cretaceous Cedar Mountain Formation, Utah: Implications for Synchronicity of Terrestrial and Marine Carbon Isotope Excursions. Geosciences (Switzerland), 2022, 12(9): 346. 必应学术
    135. Wang, L., Ding, L., Garzanti, E. et al. Mid-Cretaceous drainage reorganization and exorheic to endorheic transition in Southeast Tibet. Sedimentary Geology, 2022, 439: 106221. 必应学术
    136. Tucker, R.T., Hyland, E.G., Gates, T.A. et al. Age, depositional history, and paleoclimatic setting of Early Cretaceous dinosaur assemblages from the Sao Khua Formation (Khorat Group), Thailand. Palaeogeography, Palaeoclimatology, Palaeoecology, 2022, 601: 111107. 必应学术
    137. Sakuwaha, K.G., Tsunogae, T., Banda, P. et al. Neoproterozoic thermal events and crustal growth in the Zambezi Belt, Zambia: New insights from geothermobarometry, monazite dating, and detrital zircon geochronology of metapelites. Lithos, 2022, 424-425: 106762. 必应学术
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    141. Barham, M., Kirkland, C.L., Handoko, A.D. Understanding ancient tectonic settings through detrital zircon analysis. Earth and Planetary Science Letters, 2022, 583: 117425. 必应学术
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    143. Zutterkirch, I.C., Kirkland, C.L., Barham, M. et al. Thin-section detrital zircon geochronology mitigates bias in provenance investigations. Journal of the Geological Society, 2022, 179(2): jgs2021-070. 必应学术
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  • 收稿日期:  2020-06-08
  • 修回日期:  2020-08-19
  • 网络出版日期:  2021-03-08
  • 发布日期:  2021-03-08

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