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Global models for 222Rn and CO2 concentrations in the Cave of Altamira

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Abstract

The purpose of this paper is to model numerically the dynamics of CO2 and 222Rn in cave atmospheres, particularly in the noteworthy Cave of Altamira (Spain). We aim to get a better understanding of the nature of these dynamics and their couplings with climatic controls, more specifically the soil water content, which role in the said dynamics poses some questions. For the first time, we apply the global modeling technique in the field of cave microclimate and atmospheric composition. The global modeling technique is a methodology based on the theory of nonlinear systems and designed to extract mathematical models directly from observational time series. We were able to extract four global models from our data. These models represent a step forward from the existent conceptual ones. They also show that CO2 and 222Rn dynamics can be approximated by low-dimensional, deterministic systems, which can be chaotic or, at least, close to chaos; this has decisive methodological consequences for future research. Moreover, the global modeling technique was used for the first time in a non-autonomous formulation; this enabled the possibility of studying the influence of the external forcing (soil water content) on the gas concentration in different scenarios.

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Acknowledgments

The authors would like to warmly thank Pierre Genthon and François Bourges for stimulating discussions.

Funding

This research was supported by the Spanish Government (grant numbers RTI2018-099052-B-I00 and PID2019-110603RB-I00) and the Regional Government of Comunidad Valenciana, Spain (grant number AICO/2020/175). SM received financial support from the French programs Les Enveloppes Fluides et l’Environnement (CNRS-INSU) and Programme National de Télédétection Spatiale (CNRS). A post-doctoral research fellowship was awarded to S. Cuezva by the University of Almería (Hipatia Programme). A research grant for a doctoral stay was awarded to M. Sáez by the University of Alicante.

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Authors and Affiliations

  1. Departamento de Ciencias de la Tierra y del Medio Ambiente, Universidad de Alicante, Alicante, Spain

    M. Sáez & D. Benavente

  2. Centre d’Études Spatiales de la Biosphère (CESBIO-OMP), Université de Toulouse, CNES-CNRS-INRAe-IRD-UPS, Observatoire Midi-Pyrénées, Toulouse, France

    M. Sáez, S. Mangiarotti & B. Molero

  3. Departamento de Geología, Geografía y Medio Ambiente, Universidad de Alcalá, Madrid, Spain

    S. Cuezva

  4. Departamento de Biología y Geología, Universidad de Almería, Almería, Spain

    A. Fernández-Cortés

  5. Museo Nacional de Ciencias Naturales, MNCN-CSIC, 28006, Madrid, Spain

    S. Sánchez-Moral

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  1. M. Sáez
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  2. S. Mangiarotti
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Sáez, M., Mangiarotti, S., Cuezva, S. et al. Global models for 222Rn and CO2 concentrations in the Cave of Altamira. Theor Appl Climatol 143, 603–626 (2021). https://doi.org/10.1007/s00704-020-03440-9

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