Articles | Volume 4, issue 2
https://doi.org/10.5194/gchron-4-533-2022
https://doi.org/10.5194/gchron-4-533-2022
Research article
 | 
18 Aug 2022
Research article |  | 18 Aug 2022

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

Yiran Wang and Michael E. Oskin

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Cited articles

Anderson, R. S., Repka, J. L., and Dick, G. S.: Explicit treatment of inheritance in dating depositional surfaces using in situ 10Be and 26Al, Geology, 24, 47–51, 1996. 
Balco, G.: Production rate calculations for cosmic-ray-muon-produced 10Be and 26Al benchmarked against geological calibration data, Quat. Geochronol., 39, 150–173, https://doi.org/10.1016/j.quageo.2017.02.001, 2017. 
Balco, G., Stone, J. O., Lifton, N. A., and Dunai, T. J.: A complete and easily accessible means of calculating surface exposure ages or erosion rates from 10Be and 26Al measurements, Quat. Geochronol., 3, 174–195, https://doi.org/10.1016/j.quageo.2007.12.001, 2008. 
Braucher, R., Brown, E. T., Bourlès, D. L., and Colin, F.: In situ produced 10Be measurements at great depths: Implications for production rates by fast muons, Earth Planet. Sci. Lett., 211, 251–258, https://doi.org/10.1016/S0012-821X(03)00205-X, 2003. 
Braucher, R., Del Castillo, P., Siame, L., Hidy, A. J., and Bourlés, D. L.: Determination of both exposure time and denudation rate from an in situ-produced 10Be depth profile: A mathematical proof of uniqueness. Model sensitivity and applications to natural cases, Quat. Geochronol., 4, 56–67, https://doi.org/10.1016/j.quageo.2008.06.001, 2009. 
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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 the linear inversion approach by fully considering surface erosion, muogenic production, and radioactive decay, while maintaining its advantage of being straightforward to determine an exposure age.