Kinetics of the Atmosphere Modeled with Multi-box Systems
Keywords:
Atmosphere, carbon dioxide, residence time, kinetics
Abstract
An online simulation application is developed for multi-box simulations of atmospheric carbon dioxide, with different kinetics. Examples are shown with real data. It is shown that a first-order kinetics two-box model is the most adequate for the data. Using real data of CO2 emissions and concentrations, it is found that the residence time of CO2 molecules in the atmosphere is 52 years, which is a value about an order larger that ones from literature. On the basis of this value, it is estimated that 60% of anthropogenic CO2 is still in the atmosphere.
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References
Al-Anezi, Khalid, Chris Somerfield, David Mee, and Nidal Hilal. 2008. “Parameters Affecting the Solubility of Carbon Dioxide in Seawater at the Conditions Encountered in MSF Desalination Plants.” Desalination 222: 548–71. https://doi.org/0.1016/j.desal.2007.01.128.
Carter, Peter. 2015. CO2 Climate Change Bathtub Analogy. https://www.youtube.com/watch?v=IOgXmuNnijQ.
Fischer, H., M. Wahlen, J. Smith, D. Mastroianni, and B. Deck. 1999. “Ice Core Records of Atmospheric 〖"CO" 〗_2 Around the Last Three Glacial Terminations.” Science 283: 1712–14.
Haynes, W. M., David R. Lide, and Thomas J. Bruno, eds. 2017. CRC Handbook of Chemistry and Physics 97th Edition. CRC Press.
Indermühle, A., E. Monnin, B. Stauffer, T. F. Stocker, and M. Wahlen. 2000. “Atmospheric CO2 Concentration from 60 to 20 Kyr BP from the Taylor Dome Ice Core, Antarctica.” Geophysical Research Letters 27: 735–38. https://doi.org/10.1029/1999GL010960.
Interactive, Climate. 2025. Climate Bathtub Simulation. https://www.climateinteractive.org/ourwork/climate-bathtub-simulation/.
Our World In Data. 2025a. Annual Concentration of Atmospheric Carbon Dioxide. Https://ourworldindata.org/grapher/co2-long-term-concentration.
Our World In Data. 2025b. CO2 and Greenhouse Gas Emissions. Https://ourworldindata.org/co2-and-greenhouse-gas-emissions.
Peter Stallinga for stallinga.org. 2025. Kinetics of the Atmosphere. (Or Generally of a Three-Level System). Http://www.stallinga.org/PjotrSoft/javascript/kinetics.html.
Press, W. H., S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery. 2011. Numerical Recipes: The Art of Scientific Computing. 3rd ed. Cambridge University Press.
Solomon, Lawrence. 2008. The Deniers. Richard Vigilante Books.
Stallinga, Peter. 2018. “Signal Analysis of the Climate: Correlation, Delay and Feedback.” J. Data Analysis and Information Processing 6: 30–45. https://doi.org/10.4236/jdaip.2018.62003.
Stallinga, Peter. 2023. “Residence Time Vs. Adjustment Time of Carbon-Dioxide in the Atmosphere.” Entropy.
Stallinga, Peter, and Igor Khmelinskii. 2018. “Analysis of Temporal Signals of Climate.” Natural Science 10: 393–403. https://doi.org/10.4236/ns.2018.1010037.
Sterman, John D., and Linda Booth Sweeney. 2007. “Understanding Public Complacency about Climate Change: Adults’ Mental Models of Climate Change Violate Conservation of Matter.” Climatic Change 80: 213–38. https://doi.org/10.1007/s10584-006-9107-5.
Stocker, IPCC. Thomas F., Dahe Qin, Gian-Kasper Plattner, et al. 2013. Climate Change 2013: The Physical Science Basis. Contribution of Working Group i to the Fifth Assessment Report of the Intergovernmental Panel on Climate Change. Cambridge University Press.
Summers, D., and J. M. W. Scott. 1988. “Systems of First-Order Chemical Reactions.” Math. Comput. Modelling 10: 901–9.
Taleb, Nassim Nicholas. 2011. The Black Swan. The Impact of the Highly Improbable. Allen Lane.
Carter, Peter. 2015. CO2 Climate Change Bathtub Analogy. https://www.youtube.com/watch?v=IOgXmuNnijQ.
Fischer, H., M. Wahlen, J. Smith, D. Mastroianni, and B. Deck. 1999. “Ice Core Records of Atmospheric 〖"CO" 〗_2 Around the Last Three Glacial Terminations.” Science 283: 1712–14.
Haynes, W. M., David R. Lide, and Thomas J. Bruno, eds. 2017. CRC Handbook of Chemistry and Physics 97th Edition. CRC Press.
Indermühle, A., E. Monnin, B. Stauffer, T. F. Stocker, and M. Wahlen. 2000. “Atmospheric CO2 Concentration from 60 to 20 Kyr BP from the Taylor Dome Ice Core, Antarctica.” Geophysical Research Letters 27: 735–38. https://doi.org/10.1029/1999GL010960.
Interactive, Climate. 2025. Climate Bathtub Simulation. https://www.climateinteractive.org/ourwork/climate-bathtub-simulation/.
Our World In Data. 2025a. Annual Concentration of Atmospheric Carbon Dioxide. Https://ourworldindata.org/grapher/co2-long-term-concentration.
Our World In Data. 2025b. CO2 and Greenhouse Gas Emissions. Https://ourworldindata.org/co2-and-greenhouse-gas-emissions.
Peter Stallinga for stallinga.org. 2025. Kinetics of the Atmosphere. (Or Generally of a Three-Level System). Http://www.stallinga.org/PjotrSoft/javascript/kinetics.html.
Press, W. H., S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery. 2011. Numerical Recipes: The Art of Scientific Computing. 3rd ed. Cambridge University Press.
Solomon, Lawrence. 2008. The Deniers. Richard Vigilante Books.
Stallinga, Peter. 2018. “Signal Analysis of the Climate: Correlation, Delay and Feedback.” J. Data Analysis and Information Processing 6: 30–45. https://doi.org/10.4236/jdaip.2018.62003.
Stallinga, Peter. 2023. “Residence Time Vs. Adjustment Time of Carbon-Dioxide in the Atmosphere.” Entropy.
Stallinga, Peter, and Igor Khmelinskii. 2018. “Analysis of Temporal Signals of Climate.” Natural Science 10: 393–403. https://doi.org/10.4236/ns.2018.1010037.
Sterman, John D., and Linda Booth Sweeney. 2007. “Understanding Public Complacency about Climate Change: Adults’ Mental Models of Climate Change Violate Conservation of Matter.” Climatic Change 80: 213–38. https://doi.org/10.1007/s10584-006-9107-5.
Stocker, IPCC. Thomas F., Dahe Qin, Gian-Kasper Plattner, et al. 2013. Climate Change 2013: The Physical Science Basis. Contribution of Working Group i to the Fifth Assessment Report of the Intergovernmental Panel on Climate Change. Cambridge University Press.
Summers, D., and J. M. W. Scott. 1988. “Systems of First-Order Chemical Reactions.” Math. Comput. Modelling 10: 901–9.
Taleb, Nassim Nicholas. 2011. The Black Swan. The Impact of the Highly Improbable. Allen Lane.
Published
2026-06-10
How to Cite
Stallinga, P. (2026). Kinetics of the Atmosphere Modeled with Multi-box Systems. European Scientific Journal, ESJ, 54, 1. Retrieved from https://eujournal.org/index.php/esj/article/view/21125
Section
ESI Preprints
Copyright (c) 2026 Peter Stallinga
This work is licensed under a Creative Commons Attribution 4.0 International License.
