22 Nov 2021
22 Nov 2021
Status: a revised version of this preprint is currently under review for the journal GChron.

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

Yiran Wang1,2 and Michael E. Oskin1 Yiran Wang and Michael E. Oskin
  • 1Department of Earth and Planetary Sciences, UC Davis, Davis, 95616, USA
  • 2Earth Observatory of Singapore, Nanyang Technological University, 639798, Singapore

Abstract. We introduce a set of methods for analyzing cosmogenic-nuclide depth profiles that formally integrates surface erosion and muogenic production, while retaining the advantages of the linear inversion. For surfaces with erosion, we present solutions for both erosion rate and total eroded thickness, each with their own advantages. For practical applications, erosion must be constrained from external information, such as soil-profile analysis. By combining linear inversion with Monte Carlo simulation of error propagation, our method jointly assesses uncertainty arising from measurement error and erosion constraints. Using example depth profile data sets from the Beida River, northwest China and Lees Ferry, Arizona, we show that our methods robustly produce comparable ages for surfaces with different erosion rates and inheritance. Through hypothetical examples, we further show that both the erosion rate and eroded-thickness approaches produce reasonable age estimates so long as the total erosion less than twice the nucleon attenuation length. Overall, lack of precise constraints for erosion rate tends to be the largest contributor of age uncertainty, compared to the error from omitting muogenic production or radioactive decay.

Yiran Wang and Michael E. Oskin

Status: final response (author comments only)

Comment types: AC – author | RC – referee | CC – community | EC – editor | CEC – chief editor | : Report abuse
  • RC1: 'Comment on gchron-2021-34', Anonymous Referee #1, 03 Dec 2021
    • AC2: 'Reply on RC1', Yiran Wang, 13 Mar 2022
    • AC4: 'Reply on RC1', Yiran Wang, 13 Mar 2022
  • EC1: 'Comment on gchron-2021-34', Pieter Vermeesch, 26 Jan 2022
    • AC1: 'Reply on EC1', Yiran Wang, 13 Mar 2022
  • RC2: 'Comment on gchron-2021-34', Alan Hidy, 14 Feb 2022
    • AC3: 'Reply on RC2', Yiran Wang, 13 Mar 2022

Yiran Wang and Michael E. Oskin

Yiran Wang and Michael E. Oskin


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Short summary
When first introduced together with the depth profile technique to determine the surface exposure age, the linear inversion approach has suffered with the drawbacks of not incorporating erosion and muons into calculation. In this paper, we increase the accuracy and applicability of linear inversion approach by fully considering surface erosion, muogenic production, and radioactive decay, while maintain its advantage of being straightforward to apply to determine an exposure age.