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

IF 2.7 Q2 GEOCHEMISTRY & GEOPHYSICS
Yiran Wang, M. Oskin
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引用次数: 1

Abstract

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.
结合线性回归和蒙特卡罗方法模拟暴露年龄深度剖面
摘要我们介绍了一套分析宇宙成因-核素深度剖面的方法,这些方法在保留线性反演优势的同时,正式地将地表侵蚀和成矿生产结合起来。对于有侵蚀的表面,我们提出了侵蚀速率和总侵蚀厚度的解决方案,每个都有自己的优势。在实际应用中,侵蚀必须受到外部信息的限制,例如土壤剖面分析。通过将线性反演与蒙特卡罗模拟误差传播相结合,我们的方法联合评估了测量误差和侵蚀约束引起的不确定性。利用中国西北北达河和美国亚利桑那州李斯费里的深度剖面数据集,我们的方法可以为不同侵蚀速率和继承的地表提供可靠的可比较年龄。通过假设的例子,我们进一步表明,只要总侵蚀小于核子衰减长度的两倍,侵蚀速率和侵蚀厚度方法都可以得到合理的年龄估计。总的来说,缺乏对侵蚀速率的精确限制往往是年龄不确定性的最大贡献者,而忽略了muogenic production或放射性衰变。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Geochronology
Geochronology Earth and Planetary Sciences-Paleontology
CiteScore
6.60
自引率
0.00%
发文量
35
审稿时长
19 weeks
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