Combined linear-regression and Monte Carlo approach to modeling exposure age depth profiles

<p>We introduce a set of methods for analyzing cosmogenic-nuclide depth profiles that formally integrates denudation and muogenic production, while retaining the advantages of linear inversion for surfaces with inheritance and age much greater than zero. For surfaces with denudation, we presen...

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Main Authors: Y. Wang, M. E. Oskin
Format: Article
Language:English
Published: Copernicus Publications 2022-08-01
Series:Geochronology
Online Access:https://gchron.copernicus.org/articles/4/533/2022/gchron-4-533-2022.pdf
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author Y. Wang
Y. Wang
M. E. Oskin
author_facet Y. Wang
Y. Wang
M. E. Oskin
author_sort Y. Wang
collection DOAJ
description <p>We introduce a set of methods for analyzing cosmogenic-nuclide depth profiles that formally integrates denudation and muogenic production, while retaining the advantages of linear inversion for surfaces with inheritance and age much greater than zero. For surfaces with denudation, we present solutions for both denudation rate and total denudation depth, each with their own advantages. By combining linear inversion with Monte Carlo simulation of error propagation, our method jointly assesses uncertainty arising from measurement error and denudation constraints. Using simulated depth profiles and natural-example depth profile data sets from the Beida River, northwest China, and Lees Ferry, Arizona, we show that our methods robustly produce accurate age and inheritance estimations for surfaces under varying circumstances. For surfaces with very low inheritance or age, it is important to apply a constrained inversion to obtain the correct result distributions. The denudation-depth approach can theoretically produce reasonably accurate age estimates even when total denudation reaches 5 times the nucleon attenuation length. The denudation-rate approach, on the other hand, has the advantage of allowing direct exploration of trade-offs between exposure age and denudation rate. Out of all the factors, lack of precise constraints for denudation rate or depth tends to be the largest contributor of age uncertainty, while negligible error results from our approximation of muogenic production using the denudation-depth approach.</p>
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spelling doaj.art-60611a173ca24cdc8968484a5788fe982024-04-02T02:59:29ZengCopernicus PublicationsGeochronology2628-37192022-08-01453354910.5194/gchron-4-533-2022Combined linear-regression and Monte Carlo approach to modeling exposure age depth profilesY. Wang0Y. Wang1M. E. Oskin2Department of Earth and Planetary Sciences, UC Davis, Davis, 95616, USAEarth Observatory of Singapore, Nanyang Technological University, 639798, SingaporeDepartment of Earth and Planetary Sciences, UC Davis, Davis, 95616, USA<p>We introduce a set of methods for analyzing cosmogenic-nuclide depth profiles that formally integrates denudation and muogenic production, while retaining the advantages of linear inversion for surfaces with inheritance and age much greater than zero. For surfaces with denudation, we present solutions for both denudation rate and total denudation depth, each with their own advantages. By combining linear inversion with Monte Carlo simulation of error propagation, our method jointly assesses uncertainty arising from measurement error and denudation constraints. Using simulated depth profiles and natural-example depth profile data sets from the Beida River, northwest China, and Lees Ferry, Arizona, we show that our methods robustly produce accurate age and inheritance estimations for surfaces under varying circumstances. For surfaces with very low inheritance or age, it is important to apply a constrained inversion to obtain the correct result distributions. The denudation-depth approach can theoretically produce reasonably accurate age estimates even when total denudation reaches 5 times the nucleon attenuation length. The denudation-rate approach, on the other hand, has the advantage of allowing direct exploration of trade-offs between exposure age and denudation rate. Out of all the factors, lack of precise constraints for denudation rate or depth tends to be the largest contributor of age uncertainty, while negligible error results from our approximation of muogenic production using the denudation-depth approach.</p>https://gchron.copernicus.org/articles/4/533/2022/gchron-4-533-2022.pdf
spellingShingle Y. Wang
Y. Wang
M. E. Oskin
Combined linear-regression and Monte Carlo approach to modeling exposure age depth profiles
Geochronology
title Combined linear-regression and Monte Carlo approach to modeling exposure age depth profiles
title_full Combined linear-regression and Monte Carlo approach to modeling exposure age depth profiles
title_fullStr Combined linear-regression and Monte Carlo approach to modeling exposure age depth profiles
title_full_unstemmed Combined linear-regression and Monte Carlo approach to modeling exposure age depth profiles
title_short Combined linear-regression and Monte Carlo approach to modeling exposure age depth profiles
title_sort combined linear regression and monte carlo approach to modeling exposure age depth profiles
url https://gchron.copernicus.org/articles/4/533/2022/gchron-4-533-2022.pdf
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