- Perspective
- Open Access
Tipping points of the ocean oxygen: A dynamical systems perspective
Phys. Rev. E 114, 041006 – Published 23 October, 2026
DOI: https://doi.org/10.1103/w5c6-wnv8
Abstract
Global biochemical cycles of greenhouse gases have received a lot of attention over the past few decades because of their effect on climate and environment. Surprisingly, the turnover of oxygen received considerably less attention in spite of its truly existential importance: Apparently, any significant perturbation to the oxygen cycle may cause serious threat to humans as well as all animal species. Moreover, there is growing empirical as well as theoretical evidence that global warming can perturb the oxygen cycle considerably. In this Perspective, we discuss how this problem can be addressed using a dynamical systems framework. We argue that an insightful approach can consider a family of conceptual mathematical model that couples oxygen dynamics to vegetation (in particular, phytoplankton) and that produces oxygen as a by-product of its primary production and to the state of the global Earth climate. We show that the suggested approach predicts tipping points resulting in oxygen depletion and ocean anoxia as a response to a change in some environmental parameters. This Perspective leads to insights that help to address important issues largely overlooked in the literature and also suggests directions for future research.
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References (66)
- W. Steffen, K. Richardson, J. Rockström, S. E. Cornell, I. Fetzer, E. M. Bennett, R. Biggs, S. R. Carpenter, W. de Vries, C. A. de Wit, C. Folke, D. Gerten, J. Heinke, G. M. Mace, L. M. Persson, V. Ramanathan, B. Reyers, and S. Sörlin, Planetary boundaries: Guiding human development on a changing planet, Science 347, 1259855 (2015).
- K. Richardson, W. Steffen, W. Lucht, J. r. Bendtsen, S. E. Cornell, J. F. Donges, M. Drüke, I. Fetzer, G. Bala, W. von Bloh, G. Feulner, S. Fiedler, D. Gerten, T. Gleeson, M. Hofmann, W. Huiskamp, M. Kummu, C. Mohan, D. Nogués-Bravo, S. Petri, et al., Earth beyond six of nine planetary boundaries, Sci. Adv. 9, eadh2458 (2023).
- N. Kitzmann, L. Caesar, B. Sakschewski, and J. Rockström, editors, The state of the planet, in Planetary Health Check 2025 (Potsdam Institute for Climate Impact Research, Potsdam, 2025).
- T. Lenton et al., Tipping elements in the Earth's climate system, Proc. Natl. Acad. Sci. USA, 105, 1786, (2008).
- D. I. Armstrong McKay, A. Staal, J. F. Abrams, R. Winkelmann, B. Sakschewski, S. Loriani, I. Fetzer, S. E. Cornell, J. Rockström, and T. M. Lenton, Exceeding 1.5°C global warming could trigger multiple climate tipping points, Science 377, eabn7950 (2022).
- D. Breitburg, L. A. Levin, A. Oschlies, M. Grégoire, F. P. Chavez, D. J. Conley, V. Garçon, D. Gilbert, D. Gutiérrez, K. Isensee, G. S. Jacinto, K. E. Limburg, I. Montes, S. W. A. Naqvi, G. C. Pitcher, N. N. Rabalais, M. R. Roman, K. A. Rose, B. A. Seibel, M. Telszewski, et al., Declining oxygen in the global ocean and coastal waters, Science 359, eaam7240, (2018).
- T. Ito, S. Minobe, M. C. Long, and C. Deutsch, Upper ocean trends: 1958-2015, Geophys. Res. Lett. 44, 4214 (2017).
- S. O' Boyle, Oxygen Depletion in Coastal Waters and the Open Ocean (CRC/Taylor & Francis, London, 2020).
- F. A. Whitney, H. J. Freeland, and M. Robert, Persistently declining oxygen levels in the interior waters of the eastern subarctic Pacific, Prog. Oceanogr. 75, 179 (2007).
- R. F. Keeling and S. R. Shertz, Seasonal and interannual variations in atmospheric oxygen and implications for the global carbon cycle, Nature (London) 358, 723 (1992).
- D. Martin, H. McKenna, and V. Livina, The human physiological impact of global deoxygenation, J. Physiol. Sci. 67, 97 (2017).
- V. N. Livina, T. M. Vaz Martins, and A. B. Forbes, Tipping point analysis of atmospheric oxygen concentration, Chaos 25, 036403 (2015).
- C. Goldblatt, T. M. Lenton, and A. J. Watson, Bistability of atmospheric oxygen and the Great Oxidation, Nature (London) 443, 683 (2006).
- A. J. Krause, B. J. W. Mills, S. Zhang, N. J. Planavsky, T. M. Lenton, and S. W. Poulton, Stepwise oxygenation of the Paleozoic atmosphere, Nat. Commun. 9, 4081 (2018).
- M. Fakhraee and N. Planavsky, Insights from a dynamical system approach into the history of atmospheric oxygenation, Nat. Commun. 15, 6794 (2024).
- C. B. Field, M. J. Behrenfeld, J. T. Randerson, and P. Falkowski, Primary production of the biosphere: Integrating terrestrial and oceanic components, Science 281, 237 (1998).
- G. Harris, Phytoplankton Ecology: Structure, Function and Fluctuation (Springer Science & Business Media, New York, 2012).
- B. R. Moss, Ecology of Fresh Waters: Man and Medium, Past to Future (John Wiley & Sons, New York, 2009).
- D. P. G. Bond and S. E. Grasby, On the causes of mass extinctions, Palaeogeogr. Palaeoclimatol. Palaeoecol. 478, 3 (2017).
- T. He, J. Dal Corso, R. J. Newton, P. B. Wignall, B. J. W. Mills, S. Todaro, P. Di Stefano, E. C. Turner, R. A. Jamieson, V. Randazzo, M. Rigo, R. E. Jones, A. M. Dunhill, et al., An enormous sulfur isotope excursion indicates marine anoxia during the end-triassic mass extinction, Sci. Adv. 6, eabb6704 (2020).
- P. A. Vesilind, Introduction to Environmental Engineering (PWS, Toronto, 1996).
- P. Falkowski, R. J. Scholes, E. Boyle, J. Canadell, D. Canfield, J. Elser, N. Gruber, K. Hibbard, P. Högberg, S. Linder, F. T. Mackenzie, B. Moore III, T. Pedersen, Y. Rosenthal, S. Seitzinger, V. Smetacek, W. Steffen, et al., The global carbon cycle: A test of our knowledge of Earth as a system, Science 290, 291 (2000).
- P. Ciais, C. Sabine, G. Bala, et al., Carbon, other biogeochemical cycles, in Climate Change 2013: The Physical Science Basis. Contribution of Working Group I to the Fifth Assessment Report of the Intergovernmental Panel on Climate Change, edited by T. F. Stocker, D. Qin, and G. K. Plattner (Cambridge University Press, Cambridge, UK, 2013), pp. 465–544.
- J. F. Kasting and D. E. Canfield, The global oxygen cycle, in Fundamentals of Geobiology, edited by A. H. Knoll, D. E. Canfield, and K. O. Konhauser (John Wiley & Sons, New York, 2012), pp. 93–104.
- C. T. Reinhard, N. J. Planavsky, S. L. Olson, T. W. Lyons, and D. H. Erwin, Earth's oxygen cycle and the evolution of animal life, Proc. Natl. Acad. Sci. USA 113, 8933 (2016).
- I. Morris, H. Glover, and C. Yentsch, Products of photosynthesis by marine phytoplankton: The effect of environmental factors on the relative rates of protein synthesis, Mar. Biol. 27, 1 (1974).
- L. A. Levin, W. Ekau, A. J. Gooday, F. Jorissen, J. J. Middelburg, S. W. A. Naqvi, C. Neira, N. N. Rabalais, and J. Zhang, Effects of natural and human-induced hypoxia on coastal benthos, Biogeosciences 6, 2063 (2009).
- C. Robinson, Plankton gross production and respiration in the shallow water hydrothermal systems of Milos, Aegean Sea, J. Plankton Res. 22, 887 (2000).
- S. E. Jorgensen and B. D. Fath, Fundamentals of Ecological Modelling: Applications in Environmental Management and Research (Elsevier, Amsterdam, 2011).
- W. M. Getz, C. R. Marshall, C. J. Carlson, L. Giuggioli, S. J. Ryan, S. S. Romañach, C. Boettiger, S. D. Chamberlain, L. Larsen, P. D'Odorico, D. O'Sullivan, and T. Coulson, Making ecological models adequate, Ecol. Lett. 21, 153 (2018).
- P. Franks, NPZ models of plankton dynamics: Their construction, coupling to physics, and applications, J. Oceanogr. 58, 379 (2002).
- W. L. Geary, M. Bode, T. S. Doherty, E. A. Fulton, D. G. Nimmo, A. I. T. Tulloch, V. J. D. Tulloch, and E. G. Ritchie, et al., A guide to ecosystem models and their environmental applications, Nat. Ecol. Evol. 4, 1459 (2020).
- D. L. Breitburg, T. Loher, C. A. Pacey, and A. Gerstein, Varying effects of low dissolved oxygen on trophic interactions in an estuarine food web, Ecol. Monogr. 67, 489 (1997).
- Y. Sekerci and S. Petrovskii, Mathematical modelling of plankton–oxygen dynamics under the climate change, Bull. Math. Biol. 77, 2325 (2015).
- S. Petrovskii, Y. Sekerci, and E. Venturino, Regime shifts and ecological catastrophes in a model of plankton-oxygen dynamics under the climate change, J. Theor. Biol. 424, 91 (2017).
- Y. Sekerci and S. V. Petrovskii, Global warming can lead to depletion of oxygen by disrupting phytoplankton photosynthesis: A mathematical modelling approach, Geosciences 8, 201, (2018).
- P. Roy Chowdhury, M. Banerjee, and S. Petrovskii, A two-timescale model of plankton–oxygen dynamics predicts formation of oxygen minimum zones and global anoxia, J. Math. Biol. 89, 8 (2024).
- K. Fraedrich, Catastrophes and resilience of a zero-dimensional climate system with ice-albedo and greenhouse feedback, Q. J. R. Meteorol Soc. 105, 147 (1979).
- R. Frouin and S. F. Iacobellis, Influence of phytoplankton on the global radiation budget, J. Geophys. Res. 107, 4377 (2002).
- J. Y. Park, J. S. Kug, J. Bader, R. Rolph, and M. Kwon, Amplified Arctic warming by phytoplankton under greenhouse warming, Proc. Natl. Acad. Sci. USA 112, 5921 (2015).
- A. Alsulami and S. V. Petrovskii, A model of mass extinction accounting for the differential evolutionary response of species to a climate change, Chaos Solitons Fract. 175, 114018 (2023).
- J. J. Childress, Effects of pressure, temperature and oxygen on the oxygen consumption rate of the midwater copepod Gaussia princeps, Mar. Biol. 39, 19 (1977).
- K. Hancke and R. N. Glud, Temperature effects on respiration and photosynthesis in three diatom-dominated benthic communities, Aquat. Microb. Ecol. 37, 265 (2004).
- R. Jones, The importance of temperature conditioning to the respiration of natural phytoplankton communities, Br. Phycol. J. 12, 277 (1977).
- W. Li, J. Smith, and T. Piatt, Temperature response of photosynthetic capacity and carboxylase activity in Arctic marine phytoplankton, Mar. Ecol. Prog. Ser. 17, 237 (1984).
- C. Fernández-González, G. A. Tarran, N. Schuback, E. Malcolm S. Woodward, J. Arístegui, and E. Marañón, Phytoplankton responses to changing temperature and nutrient availability are consistent across the tropical and subtropical atlantic, Commun. Biol. 5, 1035 (2022).
- M. K. Thomas, C. T. Kremer, C. A. Klausmeier, and E. Litchman, A global pattern of thermal adaptation in marine phytoplankton, Science 338, 1085 (2012).
- C. T. Kremer, M. K. Thomas, and E. Litchman, Temperature- and size-scaling of phytoplankton population growth rates: Reconciling the Eppley curve and the metabolic theory of ecology, Limnol. Oceanogr. 62, 1658 (2017).
- P. K. Molnár, S. J. Kutz, B. M. Hoar, A. P. Dobson, and M. Bonsall, Metabolic approaches to understanding climate change impacts on seasonal host-macroparasite dynamics, Ecol. Lett. 16, 9 (2013).
- J. F. Gillooly, J. H. Brown, G. B. West, V. M. Savage, and E. L. Charnov, Effects of size and temperature on metabolic rate, Science 293, 2248 (2001).
- A. Kleidon, Beyond Gaia: Thermodynamics of life and Earth system functioning, Clim. Change 66, 271 (2004).
- L. Tian, Y. Zhang, and J. Zhu, Decreased surface albedo driven by denser vegetation on the Tibetan Plateau, Environ. Res. Lett. 9, 104001 (2014).
- B. Kaszás, U. Feudel, and T. Tél, Tipping phenomena in typical dynamical systems subjected to parameter drift, Sci. Rep. 9, 8654 (2019).
- A. Hastings, K. C. Abbott, K. Cuddington, T. Francis, G. Gellner, Y. C. Lai, A. Morozov, S. Petrovskii, K. Scranton, and M. L. Zeeman, Transient phenomena in ecology, Science 361, eaat6412 (2018).
- A. Hastings, S. Petrovskii, V. Lucarini, and A. Morozov, Tipping points in complex ecological systems, arXiv:2602.20702.
- A. Morozov, K. C. Abbott, K. Cuddington, T. Francis, G. Gellner, A. Hastings, Y. C. Lai, S. V. Petrovskii, K. Scranton, and M. L. Zeeman, Long transients in ecology: Theory and applications, Phys. Life Rev. 32, 1 (2020).
- A. Currie and S. Ó hÉigeartaigh, Working together to face humanity's greatest threats: Introduction to the future of research on catastrophic and existential risk, Futures 102, 1 (2018), Futures of research in catastrophic and existential risk.
- L. Kemp, C. Xu, J. Depledge, K. L. Ebi, G. Gibbins, T. A. Kohler, J. Rockström, M. Scheffer, H. J. Schellnhuber, W. Steffen, and T. M. Lenton, Climate endgame: Exploring catastrophic climate change scenarios, Proc. Natl. Acad. Sci. USA 119, e2108146119 (2022).
- J. Du, P. A. Jacinthe, K. Song, and H. Zhou, Water surface albedo and its driving factors on the turbid lakes of Northeast China, Ecol. Indic. 146, 109905 (2023).
- Y. Shi, L. Serdukova, Y. Zheng, S. Petrovskii, and V. Lucarini, Geometric early warning indicator from stochastic separatrix structure in a random two-state ecosystem model, arXiv:2603.08861.
- G. R. North, R. F. Cahalan, and J. A. Coakley, Jr., Energy balance climate models, Rev. Geophys. 19, 91 (1981).
- R. J. Charlson, J. E. Lovelock, M. O. Andreae, and S. G. Warren, Oceanic phytoplankton, atmospheric sulphur, cloud albedo and climate, Nature (London) 326, 655 (1987).
- P. Williamson and J. Gribbin, How plankton change the climate, New Scientist 129, 48 (1991).
- G. I. Barenblatt, Scaling, Self-similarity, and Intermediate Asymptotics: Dimensional Analysis and Intermediate Asymptotics (Cambridge University Press, Cambridge, UK, 1996).
- M. A. Huston and S. Wolverton, The global distribution of net primary production: Resolving the paradox, Ecol. Monogr. 79, 343 (2009).
- E. Martinez, D. Antoine, F. D' Ortenzio, and C. de Boyer Montégut, Phytoplankton spring and fall blooms in the North Atlantic in the 1980s and 2000s, J. Geophys. Res. 116, C11029 (2011).