Preprints
https://doi.org/10.5194/gchron-2021-38
https://doi.org/10.5194/gchron-2021-38

  29 Nov 2021

29 Nov 2021

Review status: this preprint is currently under review for the journal GChron.

Luminescence age calculation through Bayesian convolution of equivalent dose and dose-rate distributions: the De_Dr model

Norbert Mercier1, Jean-Michel Galharret2, Chantal Tribolo1, Sebastian Kreutzer3,1, and Anne Philippe2 Norbert Mercier et al.
  • 1Centre de Recherche en Physique Appliquée à l’Archéologie, Université Bordeaux-Montaigne (IRAMAT-CRP2A- UMR 5060), F-33600 Pessac, France
  • 2CNRS, Laboratoire de Mathématiques Jean Leray (LMJL - UMR 6629), F-44000 Nantes, France
  • 3Geography & Earth Sciences, Aberystwyth University, Llandinam Building, Penglais Campus Aberystwyth, SY23 3DB, Wales, UK

Abstract. In nature, any mineral grain (quartz or feldspar) receives a dose-rate (Dr) specific to its environment. The dose-rate distributions, therefore, reflect the micro-dosimetric context of grains of similar size. If all the grains have been well bleached at deposition, this distribution corresponds, within uncertainties, to the distribution of equivalent doses (De). Their combination (convolution of the De and Dr distributions in the De_Dr model proposed here) allows the calculation of the true depositional age. If grains whose De values are not representative of this age (hereafter called "outliers") are present in the De distribution, the model allows them to be identified before the age is calculated. As the De_Dr approach relies only on the Dr distribution, the model avoids any assumption representing the De distribution, which is usually difficult to justify. Herein, we outline the mathematical concepts of the De_Dr approach (more details are given in Galharret et al., accepted) and the exploitation of this Bayesian modelling based on an R code available in the R package 'Luminescence'. We also present a series of tests using simulated Dr and De distributions with and without outliers and show that the De_Dr approach can be an alternative to available models for interpreting De distributions.

Norbert Mercier et al.

Status: open (until 27 Jan 2022)

Comment types: AC – author | RC – referee | CC – community | EC – editor | CEC – chief editor | : Report abuse
  • RC1: 'Comment on gchron-2021-38', Anonymous Referee #1, 17 Jan 2022 reply
    • AC1: 'Reply on RC1', Norbert Mercier, 18 Jan 2022 reply

Norbert Mercier et al.

Norbert Mercier et al.

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Short summary
Dosimetric dating methods based on the analysis of luminescence signals emitted by granular minerals extracted from sedimentary deposits now play an important role in the study of the Quaternary. Here we propose a new approach in which the age of the deposit is calculated by combining the equivalent dose and dose rate distributions. The underlying Bayesian mathematical model and its implementation via an R code are provided, together with the results obtained for a finite set of configurations.