the Creative Commons Attribution 4.0 License.
the Creative Commons Attribution 4.0 License.
| 11 Sep 2025
Anomalous fading correction in luminescence dating – a mathematical reappraisal
Abstract. Anomalous fading is a power law decay of trapped charge over time that is commonly observed in wide-bandgap semiconductors, leading to age underestimation in luminescence dating if unaccounted for. In this paper, we reappraise the mathematical foundations of luminescence signal correction and introduce two new closed-form analytical expressions for the two most commonly used age correction models, namely that of Huntley and Lamothe [Can. J. Earth Sci. 38, 1093–1106, 2001], and of Kars et al. [Radiat. Meas., 43, 786–790, 2008]. These expressions are amenable to straightforward uncertainty propagation, matching results from Monte-Carlo simulations at a fraction of the calculation cost. Additionally, we explore unorthodox combinations of signal fading and growth pathways, by coupling fading models to signal growth obeying general order kinetics, as well as the one-trap one-recombination center model.
Competing interests: Georgina King is a member of the GChron editorial board.
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RC1: 'Comment on egusphere-2025-4186', Anonymous Referee #1, 20 Sep 2025
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CC1: 'Reply on RC1', Georgina E. King, 23 Sep 2025
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We thank reviewer 1 for their supportive review.
Citation: https://doi.org/10.5194/egusphere-2025-4186-CC1
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CC1: 'Reply on RC1', Georgina E. King, 23 Sep 2025
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In this manuscript, the authors report on <<Anomalous fading correction in luminescence dating – a mathematical reappraisal>>. In my opinion, this manuscript is very interesting, as it addresses age correction in relation to the anomalous fading effect. The complexity of the expressions is not strictly mathematical but rather based on extended algebra, which makes them both accessible and applicable. I am confident that future readers will enjoy the manuscript and benefit from its content. Therefore, I recommend its publication in its present form.