A Bayesian hierarchical age model for single-grain optical dating of feldspars

IF 1.7 2区 地球科学 Q3 GEOGRAPHY, PHYSICAL Quaternary Geochronology Pub Date : 2024-03-13 DOI:10.1016/j.quageo.2024.101515
Bo Li , Zenobia Jacobs , Mariana Sontag-González , Kieran O'Gorman , Richard G. Roberts
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Abstract

The distribution of equivalent dose (De) values of individual feldspar grains is affected by a range of variables, including internal and external dose rates, residual doses, and uncertainties associated with luminescence behaviours and measurement errors. The distributions of these variables may be non-Gaussian, resulting in a complex De distribution pattern that may be challenging to interpret and analyse using conventional statistical models. To address this problem, we present an empirical Bayesian hierarchical age model for feldspar (BHAM-F), which integrates all key components involved in the optical dating of individual feldspar grains. The model is based on application of the standardised growth curve and LnTn methods to obtain a full distribution of single-grain De values, and use of prior information about major sources of uncertainty that can be obtained experimentally or theoretically. A Bayesian outlier model is also adopted to detect and deal with outliers. We test and validate the BHAM-F using an experimentally gathered dataset obtained from a sediment sample and various simulated datasets. Our results show that the BHAM-F provides a robust and flexible way to hierarchically deal with data obtained in single-grain optical dating of feldspars.

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用于长石单晶粒光学年代测定的贝叶斯分层年代模型
单个长石晶粒的当量剂量(D)值分布受一系列变量的影响,包括内部和外部剂量率、残余剂量以及与发光行为和测量误差相关的不确定性。这些变量的分布可能是非高斯分布,从而导致复杂的 D 分布模式,使用传统统计模型进行解释和分析可能具有挑战性。为了解决这个问题,我们提出了长石的经验贝叶斯分层年龄模型(BHAM-F),它整合了单个长石晶粒光学年代测定中涉及的所有关键要素。该模型基于标准化生长曲线和 LT 方法的应用,以获得单个晶粒 D 值的完整分布,并利用可通过实验或理论获得的有关主要不确定性来源的先验信息。此外,还采用了贝叶斯离群值模型来检测和处理离群值。我们使用实验收集的沉积物样本数据集和各种模拟数据集对 BHAM-F 进行了测试和验证。我们的结果表明,BHAM-F 为分层处理长石单晶粒光学测年中获得的数据提供了一种稳健而灵活的方法。
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来源期刊
Quaternary Geochronology
Quaternary Geochronology 地学-地球化学与地球物理
CiteScore
4.40
自引率
22.20%
发文量
130
审稿时长
20 weeks
期刊介绍: Quaternary Geochronology is an international journal devoted to the publication of the highest-quality, peer-reviewed articles on all aspects of dating methods applicable to the Quaternary Period - the last 2.6 million years of Earth history. Reliable ages are fundamental to place changes in climates, landscapes, flora and fauna - including the evolution and ecological impact of humans - in their correct temporal sequence, and to understand the tempo and mode of geological and biological processes.
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