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Forecasting Atmospheric Radiocarbon Decline to Pre-Bomb Values

Published online by Cambridge University Press:  25 April 2018

Carlos A Sierra Open the ORCID record for Carlos A Sierra [Opens in a new window]
Carlos A Sierra*
Affiliation:
Max-Planck-Institute for Biogeochemistry, Hans-Knöll-Str. 10, 07745 Jena, Germany
*
*Corresponding author. Email: [email protected].
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Abstract

In this manuscript, I present an estimation of the rate of decline in atmospheric radiocarbon and the amplitude of its seasonal cycle for the past four decades for the northern and southern hemispheres, and forecast the time required to reach pre-1950 levels (i.e. Δ14C<0‰). Using a set of 30 different exponential smoothing state-space models, the time series were decomposed into their error, trend, and seasonal components, choosing the model that best represented the observed data. According to the best model, the rate of change in Δ14C has decreased considerably since the 1970s and reached values below −5‰ per year since 2005. Overall, the time-series showed larger rates of radiocarbon decline in the northern than in the southern hemisphere, and relatively stable seasonal cycles for both hemispheres. A forecast of the exponential smoothing models predicts that radiocarbon values will reach pre-1950 levels by 2021 in the northern hemisphere with 20% probability, and by around 2035 in the southern hemisphere. However, at regional levels radiocarbon concentrations have already reached pre-1950 levels in several industrialized regions and cities around the world as a consequence of fossil-fuel emissions.

Keywords

bomb curvecitiesfossil fuelsstatistical forecasttime series decomposition
Type
Atmosphere
Information
Radiocarbon , Volume 60 , Issue 4: 2nd Radiocarbon in the Environment Conference Debrecen, Hungary, July 3–7, 2017 Part 1 of 2 , August 2018 , pp. 1055 - 1066
Copyright
© 2018 by the Arizona Board of Regents on behalf of the University of Arizona 

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References

Athanasopoulos, G, Hyndman, RJ, Kourentzes, N, Petropoulos, F. 2017. Forecasting with temporal hierarchies. European Journal of Operational Research 262(1):60–74.Google Scholar
Berger, R, Jackson, TB, Michael, R, Suess, HE. 1987. Radiocarbon content of tropospheric CO2 at China Lake, California 1977–1983. Radiocarbon 29(1):18–23.Google Scholar
Caldeira, K, Rau, GH, Duffy, PB. 1998. Predicted net efflux of radiocarbon from the ocean and increase in atmospheric radiocarbon content. Geophysical Research Letters 25(20):3811–3814.Google Scholar
Cleveland, WS, Freeny, AE, Graedel, TE. 1983. The seasonal component of atmospheric CO 2 : Information from new approaches to the decomposition of seasonal time series. Journal of Geophysical Research: Oceans 88(C15):10934–10946.Google Scholar
Currie, KI, Brailsford, G, Nichol, S, Gomez, A, Sparks, R, Lassey, KR, Riedel, K. 2011. Tropospheric 14CO2 at wellington, new zealand: the world’s longest record. Biogeochemistry 104(1):5–22.Google Scholar
Graven, HD. 2015. Impact of fossil fuel emissions on atmospheric radiocarbon and various applications of radiocarbon over this century. Proceedings of the National Academy of Sciences 112(31):9542–9545.Google Scholar
Graven, HD, Guilderson, TP, Keeling, RF. 2012. Observations of radiocarbon in CO2 at seven global sampling sites in the Scripps flask network: Analysis of spatial gradients and seasonal cycles. Journal of Geophysical Research: Atmospheres 117(D2):D02303.Google Scholar
Hertelendi, E, Csongor, E. 1983. Anthropogenic 14C excess in the troposphere between 1951 and 1978 measured in tree rings. Radiochemical and Radioanalytical letters 56(2):103–110.Google Scholar
Hsueh, DY, Krakauer, NY, Randerson, JT, Xu, X, Trumbore, SE, Southon, JR. 2007. Regional patterns of radiocarbon and fossil fuel-derived CO2 in surface air across North America. Geophysical Research Letters 34(2):n/a–n/a, L02816.Google Scholar
Hua, Q, Barbetti, M. 2004. Review of tropospheric bomb 14c data for carbon cycle modeling and age calibration purposes. Radiocarbon 46(3):1273–1298.Google Scholar
Hua, Q, Barbetti, M, Jacobsen, G, Zoppi, U, Lawson, E. 2000. Bomb radiocarbon in annual tree rings from Thailand and Australia. Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms, 172(1):359–365. 8th International Conference on Accelerator Mass Spectrometry.Google Scholar
Hua, Q, Barbetti, M, Levchenko, VA, D’Arrigo, RD, Buckley, BM, Smith, AM. 2012. Monsoonal influence on southern hemisphere 14CO2 . Geophysical Research Letters 39(19):L19806.Google Scholar
Hua, Q, Barbetti, M, Rakowski, A. 2013. Atmospheric radiocarbon for the period 1950–2010. Radiocarbon 55(4):2059–2072.Google Scholar
Hyndman, AR, Koehler, A, Ord, K, Snyder, R. 2008. Forecasting with Exponential Smoothing. Springer Series in Statistics. Springer Berlin Heidelberg.Google Scholar
Hyndman, RJ, Khandakar, Y. 2008. Automatic time series forecasting: The forecast package for R. Journal of Statistical Software 27(3):1–22.Google Scholar
Levin, I, Kromer, B. 1997. Twenty years of atmospheric 14CO2 observations at Schauinsland station, Germany. Radiocarbon 39(2):205–218.Google Scholar
Levin, I, Kromer, B. 2004. The tropospheric 14CO2 level in mid-latitudes of the northern hemisphere (1959–2003). Radiocarbon 46(3):1261–1272.Google Scholar
Levin, I, Kromer, B, Hammer, S. 2013. Atmospheric Δ14CO2 trend in Western European background air from 2000 to 2012. Tellus B 65(0.Google Scholar
Levin, I, Naegler, T, Kromer, B, Diehl, M, Francey, RJ, Gomez-Pelaez, AJ, Steele, LP, Wagenbach, D, Weller, R, Worthy, DE. 2010. Observations and modelling of the global distribution and long-term trend of atmospheric 14CO2 . Tellus B 62(1):26–46.Google Scholar
Levin, I, Schuchard, J, Kromer, B, Muennich, K. 1989. The continental European Suess effect. Radiocarbon 31(3):431–440.Google Scholar
Manning, MR, Lowe, DC, Melhuish, WH, Sparks, RJ, Wallace, G, Brenninkmeijer, CAM, McGill, RC. 1990. The use of radiocarbon measurements in atmospheric studies. Radiocarbon 32(1):37–58.Google Scholar
Meijer, HAJ, Pertuisot, MH, van der Plicht, J. 2006. High-accuracy 14C measurements for atmospheric CO2 samples by AMS. Radiocarbon 48(3):355–372.Google Scholar
Naegler, T, Levin, I. 2006. Closing the global radiocarbon budget 1945–2005. Journal of Geophysical Research: Atmospheres 111(D12):n/a–n/a–D12311.Google Scholar
Nijman, TE, Palm, FC. 1990. Predictive accuracy gain from disaggregate sampling in ARIMA models. Journal of Business & Economic Statistics 8(4):405–415.Google Scholar
Nydal, R, Loevseth, K. 1996. Carbon-14 Measurements in Atmospheric CO2 from Northern and Southern Hemisphere Sites, 1962-1993. Oak Ridge National Laboratory.Google Scholar
Oeschger, H, Siegenthaler, U, Schotterer, U, Gugelmann, A. 1975. A box diffusion model to study the carbon dioxide exchange in nature. Tellus 27(2):168–192.Google Scholar
Park, JH, Kim, JC, Cheoun, MK, Kim, IC, Youn, M, Liu, YH, Kim, ES. 2002. 14C level at Mt Chiak and Mt Kyeryong in Korea. Radiocarbon 44(2):559–566.Google Scholar
Rakowski, AZ, Nadeau, M-J, Nakamura, T, Pazdur, A, Pawełczyk, S, Piotrowska, N. 2013. Radiocarbon method in environmental monitoring of CO2 emission. Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms, 294:503–507. Proceedings of the Twelfth International Conference on Accelerator Mass Spectrometry, Wellington, New Zealand, 20–25 March 2011.Google Scholar
Randerson, JT, Enting, IG, Schuur, EAG, Caldeira, K, Fung, IY. 2002. Seasonal and latitudinal variability of troposphere Δ14CO2: Post bomb contributions from fossil fuels, oceans, the stratosphere, and the terrestrial biosphere. Global Biogeochemical Cycles 16(4):59–1–59–19.Google Scholar
Rossana, RJ, Seater, JJ. 1995. Temporal aggregation and economic time series. Journal of Business & Economic Statistics 13(4):441–451.Google Scholar
Sierra, CA, Müller, M, Trumbore, SE. 2014. Modeling radiocarbon dynamics in soils: SoilR, version 1.1. Geosci. Model Dev 7(7):1919–1931, GMD.Google Scholar
Steinhof, A, Adamiec, G, Gleixner, G, Wagner, T, van Klinken, G. 2004. The new 14C analysis laboratory in Jena, Germany. Radiocarbon 46(1):51–58.Google Scholar
Suess, HE. 1953. Natural radiocarbon and the rate of exchange of carbon dioxide between the atmosphere and the sea. In: Nuclear Processes in Geological Settings. National Research Council Publications. p 52–6.Google Scholar
Suess, HE. 1955. Radiocarbon concentration in modern wood. Science 122(3166):415–417.Google Scholar
Synal, H-A, Stocker, M, Suter, M. 2007. MICADAS: A new compact radiocarbon AMS system. Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms 259(1):7–13, Accelerator Mass Spectrometry.Google Scholar
Tans, PP, de Jong, AFM, Mook, WG. 1979. Natural atmospheric 14C variation and the Suess effect. Nature 280(5725):826–828.Google Scholar
Trumbore, SE, Sierra, CA, Hicks Pries, CE. 2016. Radiocarbon nomenclature, theory, models, and interpretation: Measuring age, determining cycling rates, and tracing source pools. In: Schuur AE, Druffel E, Trumbore ES, editors. Radiocarbon and Climate Change: Mechanisms, Applications and Laboratory Techniques. Springer International Publishing. p 45–82.Google Scholar
Turnbull, J, Rayner, P, Miller, J, Naegler, T, Ciais, P, Cozic, A. 2009. On the use of 14CO2 as a tracer for fossil fuel CO 2 : Quantifying uncertainties using an atmospheric transport model. Journal of Geophysical Research: Atmospheres 114(D22):D22302.Google Scholar
Turnbull, JC, Lehman, SJ, Miller, JB, Sparks, RJ, Southon, JR, Tans, PP. 2007. A new high precision 14CO2 time series for North American continental air. Journal of Geophysical Research: Atmospheres 112(D11):D11310.Google Scholar
Vogel, JC, Marais, M. 1971. Pretoria radiocarbon dates I. Radiocarbon 13(2):378–394.Google Scholar
Wacker, L, Bonani, G, Friedrich, M, Hajdas, I, Kromer, B, Nĕmec, M, Ruff, M, Suter, M, Synal, H-A, Vockenhuber, C. 2010. MICADAS: Routine and high-precision radiocarbon dating. Radiocarbon 52(2):252–262.Google Scholar
Yamada, Y, Yasuike, K, Komura, K. 2005. Temporal variation of carbon-14 concentration in tree-ring cellulose for the recent 50 years. Journal of Nuclear and Radiochemical Sciences 6(2):135–138.Google Scholar
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