Quantifying Inclination Shallowing and Representing Flattening Uncertainty in Sedimentary Paleomagnetic Poles

Abstract Inclination is the angle of a magnetization vector from horizontal. Clastic sedimentary rocks often experience inclination shallowing whereby syn‐ to post‐depositional processes result in flattened detrital remanent magnetizations relative to local geomagnetic field inclinations. The deviat...

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Main Authors: James Pierce, Yiming Zhang, Eben B. Hodgin, Nicholas L. Swanson‐Hysell
Format: Article
Language:English
Published: Wiley 2022-11-01
Series:Geochemistry, Geophysics, Geosystems
Subjects:
Online Access:https://doi.org/10.1029/2022GC010682
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author James Pierce
Yiming Zhang
Eben B. Hodgin
Nicholas L. Swanson‐Hysell
author_facet James Pierce
Yiming Zhang
Eben B. Hodgin
Nicholas L. Swanson‐Hysell
author_sort James Pierce
collection DOAJ
description Abstract Inclination is the angle of a magnetization vector from horizontal. Clastic sedimentary rocks often experience inclination shallowing whereby syn‐ to post‐depositional processes result in flattened detrital remanent magnetizations relative to local geomagnetic field inclinations. The deviation of recorded inclinations from true values presents challenges for reconstructing paleolatitudes. A widespread approach for estimating flattening factors (f) compares the shape of an assemblage of magnetization vectors to that derived from a paleosecular variation model (the elongation/inclination [E/I] method). Few studies exist that compare the results of this statistical approach with empirically determined flattening factors and none in the Proterozoic Eon. In this study, we evaluate inclination shallowing within 1.1 billion‐year‐old, hematite‐bearing red beds of the Cut Face Creek Sandstone that is bounded by lava flows of known inclination. Taking this inclination from the volcanics as the expected direction, we found that detrital hematite remanence is flattened with f=0.650.560.75 whereas the pigmentary hematite magnetization shares a common mean with the volcanics. Using the pigmentary hematite direction as the expected inclination results in f=0.610.550.67. These flattening factors are consistent with those estimated through the E/I method f=0.640.510.85 supporting its application in deep time. However, all methods have significant uncertainty associated with determining the flattening factor. This uncertainty can be incorporated into paleomagnetic poles with the resulting ellipse approximated with a Kent distribution. Rather than seeking to find “the flattening factor,” or assuming a single value, the inherent uncertainty in flattening factors should be recognized and incorporated into paleomagnetic syntheses.
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spelling doaj.art-6860bf6a25ca40f5b61396b4686b68442023-11-03T17:00:48ZengWileyGeochemistry, Geophysics, Geosystems1525-20272022-11-012311n/an/a10.1029/2022GC010682Quantifying Inclination Shallowing and Representing Flattening Uncertainty in Sedimentary Paleomagnetic PolesJames Pierce0Yiming Zhang1Eben B. Hodgin2Nicholas L. Swanson‐Hysell3Department of Earth and Planetary Science University of California, Berkeley Berkeley CA USADepartment of Earth and Planetary Science University of California, Berkeley Berkeley CA USADepartment of Earth and Planetary Science University of California, Berkeley Berkeley CA USADepartment of Earth and Planetary Science University of California, Berkeley Berkeley CA USAAbstract Inclination is the angle of a magnetization vector from horizontal. Clastic sedimentary rocks often experience inclination shallowing whereby syn‐ to post‐depositional processes result in flattened detrital remanent magnetizations relative to local geomagnetic field inclinations. The deviation of recorded inclinations from true values presents challenges for reconstructing paleolatitudes. A widespread approach for estimating flattening factors (f) compares the shape of an assemblage of magnetization vectors to that derived from a paleosecular variation model (the elongation/inclination [E/I] method). Few studies exist that compare the results of this statistical approach with empirically determined flattening factors and none in the Proterozoic Eon. In this study, we evaluate inclination shallowing within 1.1 billion‐year‐old, hematite‐bearing red beds of the Cut Face Creek Sandstone that is bounded by lava flows of known inclination. Taking this inclination from the volcanics as the expected direction, we found that detrital hematite remanence is flattened with f=0.650.560.75 whereas the pigmentary hematite magnetization shares a common mean with the volcanics. Using the pigmentary hematite direction as the expected inclination results in f=0.610.550.67. These flattening factors are consistent with those estimated through the E/I method f=0.640.510.85 supporting its application in deep time. However, all methods have significant uncertainty associated with determining the flattening factor. This uncertainty can be incorporated into paleomagnetic poles with the resulting ellipse approximated with a Kent distribution. Rather than seeking to find “the flattening factor,” or assuming a single value, the inherent uncertainty in flattening factors should be recognized and incorporated into paleomagnetic syntheses.https://doi.org/10.1029/2022GC010682paleogeographypaleolatitudehematitesedimentary rocksdetrital remanent magnetizationchemical remanent magnetization
spellingShingle James Pierce
Yiming Zhang
Eben B. Hodgin
Nicholas L. Swanson‐Hysell
Quantifying Inclination Shallowing and Representing Flattening Uncertainty in Sedimentary Paleomagnetic Poles
Geochemistry, Geophysics, Geosystems
paleogeography
paleolatitude
hematite
sedimentary rocks
detrital remanent magnetization
chemical remanent magnetization
title Quantifying Inclination Shallowing and Representing Flattening Uncertainty in Sedimentary Paleomagnetic Poles
title_full Quantifying Inclination Shallowing and Representing Flattening Uncertainty in Sedimentary Paleomagnetic Poles
title_fullStr Quantifying Inclination Shallowing and Representing Flattening Uncertainty in Sedimentary Paleomagnetic Poles
title_full_unstemmed Quantifying Inclination Shallowing and Representing Flattening Uncertainty in Sedimentary Paleomagnetic Poles
title_short Quantifying Inclination Shallowing and Representing Flattening Uncertainty in Sedimentary Paleomagnetic Poles
title_sort quantifying inclination shallowing and representing flattening uncertainty in sedimentary paleomagnetic poles
topic paleogeography
paleolatitude
hematite
sedimentary rocks
detrital remanent magnetization
chemical remanent magnetization
url https://doi.org/10.1029/2022GC010682
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