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Early and late phases of the Permian–Triassic mass extinction marked by different atmospheric CO2 regimes

Abstract

The Permian–Triassic mass extinction is characterized by a massive injection of carbon dioxide associated with Siberian Traps volcanism, pronounced global warming and ocean acidification. However, in the absence of high-resolution records of atmospheric CO2 (\(p_{{\mathrm{CO}}_2}\)), detailed changes in the carbon cycle and their relationship to biosphere perturbations remain unresolved. Here we present a continuous and high-resolution \(p_{{\mathrm{CO}}_2}\) record and quantitative estimates of marine phytoplankton community structure across this interval, using carbon and nitrogen isotope analyses of chlorophyll degradation products from the Shangsi section, China. We find that the first extinction pulse in the latest Permian coincided with a minimum in \(p_{{\mathrm{CO}}_2}\), which was followed by a rapid rise to a prolonged high \(p_{{\mathrm{CO}}_2}\) interval that persisted through the second extinction pulse in the Early Triassic, and that cyanobacteria increasingly dominated marine export production between these two pulses. While the first extinction appears to have been associated with intense initial weathering that briefly suppressed the \(p_{{\mathrm{CO}}_2}\) rise and promoted eutrophy and anoxia-driven habitat loss, incorporating our observations into a biogeochemical model indicates the second extinction was sustained by reduced export production driven by the expansion of bacterial production in response to oligotrophic conditions. Such conditions were potentially caused by a long-term failure of the weathering feedback and may mark a catastrophic combination of food web collapse, hyperthermal climate and hypercapnia.

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Fig. 1: Permian–Triassic chronology, stable isotope and lipid biomarker stratigraphic records from Shangsi section, China.
Fig. 2: Estimates of atmospheric CO2 and the fraction of cyanobacterial versus eukaryotic export across the P–Tr mass extinction.
Fig. 3: Model Predictions.

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Data availability

All data reported in this study are available for download from the public data repository (https://doi.org/10.6084/m9.figshare.20497263.v1) and are archived as a Supplementary Table file with the online version of this Article.

Code availability

Code used to perform LOSCAR simulations can be accessed at https://doi.org/10.6084/m9.figshare.20497296.v2.

References

  1. Erwin, D. H. The Permo–Triassic extinction. Nature 367, 231–236 (1994).

    Article  Google Scholar 

  2. Song, H., Wignall, P. B., Tong, J. & Yin, H. Two pulses of extinction during the Permian–Triassic crisis. Nat. Geosci. 6, 52–56 (2013).

    Article  Google Scholar 

  3. Pruss, S. B. & Bottjer, D. J. The reorganization of reef communities following the end-Permian mass extinction. C. R. Palevol 4, 553–568 (2005).

    Article  Google Scholar 

  4. Knoll, A. H., Bambach, R. K., Payne, J. L., Pruss, S. & Fischer, W. W. Paleophysiology and end-Permian mass extinction. Earth Planet. Sci. Lett. 256, 295–313 (2007).

    Article  Google Scholar 

  5. Sun, Y. et al. Lethally hot temperatures during the Early Triassic greenhouse. Science 338, 366–370 (2012).

    Article  Google Scholar 

  6. Chen, J. et al. High-resolution SIMS oxygen isotope analysis on conodont apatite from South China and implications for the end-Permian mass extinction. Palaeogeogr. Palaeoclimatol. Palaeoecol. 448, 26–38 (2016).

    Article  Google Scholar 

  7. Clarkson, M. et al. Ocean acidification and the Permo–Triassic mass extinction. Science 348, 229–232 (2015).

    Article  Google Scholar 

  8. Jurikova, H. et al. Permian–Triassic mass extinction pulses driven by major marine carbon cycle perturbations. Nat. Geosci. 13, 745–750 (2020).

    Article  Google Scholar 

  9. Retallack, G. J. Permian and Triassic greenhouse crises. Gondwana Res. 24, 90–103 (2013).

    Article  Google Scholar 

  10. Wu, Y. et al. Six-fold increase of atmospheric \(p_{{\mathrm{CO}}_2}\) during the Permian–Triassic mass extinction. Nat. Commun. 12, 1–8 (2021).

  11. Cui, Y., Li, M., Van Soelen, E. E., Peterse, F. & Kürschner, W. M. Massive and rapid predominantly volcanic CO2 emission during the end-Permian mass extinction. Proc. Natl Acad. Sci. USA 118, e2014701118 (2021).

    Article  Google Scholar 

  12. Shen, J. et al. Improved efficiency of the biological pump as a trigger for the Late Ordovician glaciation. Nat. Geosci. 11, 510–514 (2018).

    Article  Google Scholar 

  13. Yuan, D.-X. et al. Integrative timescale for the Lopingian (late Permian): a review and update from Shangsi, South China. Earth Sci. Rev. 188, 190–209 (2019).

    Article  Google Scholar 

  14. Jiang, H. et al. Revised conodont zonation and conodont evolution across the Permian–Triassic boundary at the Shangsi section, Guangyuan, Sichuan, South China. Glob. Planet. Change 77, 103–115 (2011).

    Article  Google Scholar 

  15. Xie, S. et al. Contrasting microbial community changes during mass extinctions at the middle/late Permian and Permian/Triassic boundaries. Earth Planet. Sci. Lett. 460, 180–191 (2017).

    Article  Google Scholar 

  16. Korte, C. & Kozur, H. W. Carbon-isotope stratigraphy across the Permian–Triassic boundary: a review. J. Asian Earth Sci. 39, 215–235 (2010).

    Article  Google Scholar 

  17. Rontani, J.-F. & Volkman, J. K. Phytol degradation products as biogeochemical tracers in aquatic environments. Org. Geochem. 34, 1–35 (2003).

    Article  Google Scholar 

  18. Naafs, B. et al. Gradual and sustained carbon dioxide release during Aptian Oceanic Anoxic Event 1a. Nat. Geosci. 9, 135–139 (2016).

    Article  Google Scholar 

  19. Witkowski, C. R., Weijers, J. W., Blais, B., Schouten, S. & Damsté, J. S. S. Molecular fossils from phytoplankton reveal secular \(p_{{\mathrm{CO}}_2}\) trend over the Phanerozoic. Sci. Adv. 4, eaat4556 (2018).

  20. Bice, K. L. et al. A multiple proxy and model study of Cretaceous upper ocean temperatures and atmospheric CO2 concentrations. Paleoceanography 21, PA2002 (2006).

    Article  Google Scholar 

  21. Freeman, K. H. & Hayes, J. Fractionation of carbon isotopes by phytoplankton and estimates of ancient CO2 levels. Glob. Biogeochem. Cycles 6, 185–198 (1992).

    Article  Google Scholar 

  22. Grice, K. et al. Photic zone euxinia during the Permian-Triassic superanoxic event. Science 307, 706–709 (2005).

    Article  Google Scholar 

  23. Berner, R. A. Examination of hypotheses for the Permo–Triassic boundary extinction by carbon cycle modeling. Proc. Natl Acad. Sci. USA 99, 4172–4177 (2002).

    Article  Google Scholar 

  24. Shen, J. et al. Evidence for a prolonged Permian–Triassic extinction interval from global marine mercury records. Nat. Commun. 10, 1563 (2019).

    Article  Google Scholar 

  25. Cui, Y. & Kump, L. R. Global warming and the end-Permian extinction event: proxy and modeling perspectives. Earth Sci. Rev. 149, 5–22 (2015).

    Article  Google Scholar 

  26. Gutjahr, M. et al. Very large release of mostly volcanic carbon during the Palaeocene–Eocene Thermal Maximum. Nature 548, 573–577 (2017).

    Article  Google Scholar 

  27. Luo, G. et al. Enhanced nitrogen fixation in the immediate aftermath of the latest Permian marine mass extinction. Geology 39, 647–650 (2011).

    Article  Google Scholar 

  28. Higgins, M. B., Robinson, R. S., Husson, J. M., Carter, S. J. & Pearson, A. Dominant eukaryotic export production during ocean anoxic events reflects the importance of recycled NH4+. Proc. Natl Acad. Sci. USA 109, 2269–2274 (2012).

    Article  Google Scholar 

  29. Kharbush, J. J. et al. Chlorophyll nitrogen isotope values track shifts between cyanobacteria and eukaryotic algae in a natural phytoplankton community in Lake Erie. Org. Geochem. 128, 71–77 (2019).

    Article  Google Scholar 

  30. Higgins, M. B. et al. Paleoenvironmental implications of taxonomic variation among δ15N values of chloropigments. Geochim. Cosmochim. Acta 75, 7351–7363 (2011).

    Article  Google Scholar 

  31. Xie, S., Pancost, R. D., Yin, H., Wang, H. & Evershed, R. P. Two episodes of microbial change coupled with Permo/Triassic faunal mass extinction. Nature 434, 494–497 (2005).

    Article  Google Scholar 

  32. Burgess, S. D. & Bowring, S. A. High-precision geochronology confirms voluminous magmatism before, during, and after Earth’s most severe extinction. Sci. Adv. 1, e1500470 (2015).

    Article  Google Scholar 

  33. Burgess, S., Muirhead, J. & Bowring, S. Initial pulse of Siberian Traps sills as the trigger of the end-Permian mass extinction. Nat. Commun. 8, 164 (2017).

    Article  Google Scholar 

  34. Payne, J. L. et al. Calcium isotope constraints on the end-Permian mass extinction. Proc. Natl Acad. Sci. USA 107, 8543–8548 (2010).

    Article  Google Scholar 

  35. Sun, H. et al. Rapid enhancement of chemical weathering recorded by extremely light seawater lithium isotopes at the Permian–Triassic boundary. Proc. Natl Acad. Sci. USA 115, 3782–3787 (2018).

    Article  Google Scholar 

  36. Penn, J. L., Deutsch, C., Payne, J. L. & Sperling, E. A. Temperature-dependent hypoxia explains biogeography and severity of end-Permian marine mass extinction. Science 362, eaat1327 (2018).

    Article  Google Scholar 

  37. Kump, L. R. Prolonged late Permian–Early Triassic hyperthermal: failure of climate regulation? Phil. Trans. R. Soc. A 376, 20170078 (2018).

    Article  Google Scholar 

  38. Zaffos, A., Finnegan, S. & Peters, S. E. Plate tectonic regulation of global marine animal diversity. Proc. Natl Acad. Sci. USA 114, 5653–5658 (2017).

    Article  Google Scholar 

  39. Rampino, M. R. & Caldeira, K. Major perturbation of ocean chemistry and a ‘Strangelove Ocean’ after the end‐Permian mass extinction. Terra Nova 17, 554–559 (2005).

    Article  Google Scholar 

  40. Zeebe, R. E. LOSCAR: long-term ocean–atmosphere–sediment carbon cycle reservoir model v2.0.4. Geosci. Model Dev. 5, 149–166 (2012).

    Article  Google Scholar 

  41. Burgess, S. D., Bowring, S. & Shen, S.-Z. High-precision timeline for Earth’s most severe extinction. Proc. Natl Acad. Sci. USA 111, 3316–3321 (2014).

    Article  Google Scholar 

  42. Higgins, M. B., Robinson, R. S., Casciotti, K. L., McIlvin, M. R. & Pearson, A. A method for determining the nitrogen isotopic composition of porphyrins. Anal. Chem. 81, 184–192 (2009).

    Article  Google Scholar 

  43. Sigman, D. M. et al. A bacterial method for the nitrogen isotopic analysis of nitrate in seawater and freshwater. Anal. Chem. 73, 4145–4153 (2001).

    Article  Google Scholar 

  44. Mook, W., Bommerson, J. & Staverman, W. Carbon isotope fractionation between dissolved bicarbonate and gaseous carbon dioxide. Earth Planet. Sci. Lett. 22, 169–176 (1974).

    Article  Google Scholar 

  45. Romanek, C. S., Grossman, E. L. & Morse, J. W. Carbon isotopic fractionation in synthetic aragonite and calcite: effects of temperature and precipitation rate. Geochim. Cosmochim. Acta 56, 419–430 (1992).

    Article  Google Scholar 

  46. Farquhar, G. D., Ehleringer, J. R. & Hubick, K. T. Carbon isotope discrimination and photosynthesis. Annu. Rev. Plant Biol. 40, 503–537 (1989).

    Article  Google Scholar 

  47. Giordano, M., Beardall, J. & Raven, J. A. CO2 concentrating mechanisms in algae: mechanisms, environmental modulation, and evolution. Annu. Rev. Plant Biol. 56, 99–131 (2005).

    Article  Google Scholar 

  48. Jasper, J. P. & Hayes, J. A carbon isotope record of CO2 levels during the late Quaternary. Nature 347, 462–464 (1990).

    Article  Google Scholar 

  49. Goericke, R., Montoya, J. & Fry, B. Physiology and isotopic fractionation in algae and cyanobacteria. In Stable Isotopes in Ecology and Environmental Science (eds Kajtah, K. & Michener, R. H.) 187–221 (Blackwell, 1994).

  50. Bidigare, R. R. et al. Consistent fractionation of 13C in nature and in the laboratory: growth‐rate effects in some haptophyte algae. Glob. Biogeochem. Cycles 11, 279–292 (1997).

    Article  Google Scholar 

  51. Weiss, R. F. Carbon dioxide in water and seawater: the solubility of a non-ideal gas. Mar. Chem. 2, 203–215 (1974).

    Article  Google Scholar 

  52. Wilkes, E. B. & Pearson, A. A general model for carbon isotopes in red-lineage phytoplankton: interplay between unidirectional processes and fractionation by RubisCO. Geochim. Cosmochim. Acta 265, 163–181 (2019).

    Article  Google Scholar 

  53. Jasper, J. P., Hayes, J., Mix, A. C. & Prahl, F. G. Photosynthetic fractionation of 13C and concentrations of dissolved CO2 in the central equatorial Pacific during the last 255,000 years. Paleoceanography 9, 781–798 (1994).

    Article  Google Scholar 

  54. Eek, M. K., Whiticar, M. J., Bishop, J. & Wong, C. Influence of nutrients on carbon isotope fractionation by natural populations of Prymnesiophyte algae in NE Pacific. Deep Sea Res. 2 46, 2863–2876 (1999).

    Article  Google Scholar 

  55. Popp, B.N., et al. Controls on the carbon isotopic composition of phytoplankton: Paleoceanographic perspectives. In Reconstructing ocean history: A window into the future (eds Abrantes, F. & Mix, A.C.). pp. 381–-398 (Plenum Publishers, New York. 1999).

  56. Laws, E. A. et al. Controls on the molecular distribution and carbon isotopic composition of alkenones in certain haptophyte algae. Geochem. Geophys. Geosyst. 2, 2000GC000057 (2001).

    Article  Google Scholar 

  57. Pagani, M., Zachos, J. C., Freeman, K. H., Tipple, B. & Bohaty, S. Marked decline in atmospheric carbon dioxide concentrations during the Paleogene. Science 309, 600–603 (2005).

    Article  Google Scholar 

  58. Zhang, Y. G. et al. Refining the alkenone \(p_{{\mathrm{CO}}_2}\) method I: lessons from the Quaternary glacial cycles. Geochim. Cosmochim. Acta 260, 177–191 (2019).

  59. Popp, B. N. et al. Effect of phytoplankton cell geometry on carbon isotopic fractionation. Geochim. Cosmochim. Acta 62, 69–77 (1998).

    Article  Google Scholar 

  60. Raven, J. A. & Johnston, A. M. Mechanisms of inorganic‐carbon acquisition in marine phytoplankton and their implications for the use of other resources. Limnol. Oceanogr. 36, 1701–1714 (1991).

    Article  Google Scholar 

  61. Wilkes, E. B., Carter, S. J. & Pearson, A. CO2-dependent carbon isotope fractionation in the dinoflagellate Alexandrium tamarense. Geochim. Cosmochim. Acta 212, 48–61 (2017).

    Article  Google Scholar 

  62. Pagani, M. et al. The role of carbon dioxide during the onset of Antarctic glaciation. Science 334, 1261–1264 (2011).

    Article  Google Scholar 

  63. Nabbefeld, B. et al. An integrated biomarker, isotopic and palaeoenvironmental study through the late Permian event at Lusitaniadalen, Spitsbergen. Earth Planet. Sci. Lett. 291, 84–96 (2010).

    Article  Google Scholar 

  64. Sial, A. et al. Globally enhanced Hg deposition and Hg isotopes in sections straddling the Permian–Triassic boundary: link to volcanism. Palaeogeogr. Palaeoclimatol. Palaeoecol. 540, 109537 (2020).

    Article  Google Scholar 

  65. Thomas, B. et al. Unique marine Permian–Triassic boundary section from Western Australia. Aust. J. Earth Sci. 51, 423–430 (2004).

    Article  Google Scholar 

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Acknowledgements

We gratefully acknowledge R. S. Robinson and B. Kim for their assistance with N-isotope analysis of nitrate samples and C-isotope analysis of phytane; S. J. Carter for logistical support at Harvard University; W. Zhou and X. Gao for their assistance with the fieldwork; R. E. Zeebe for sharing the LOSCAR code. This study was supported by the National Natural Science Foundation of China (grants 42072034 and 41888101 to J.S.). A.P. received support from the Gordon and Betty Moore Foundation and from NASA Exobiology Grant NNX16AJ52G.

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J.S. designed the study and performed the biomarker/bulk sediment analyses, data calculations and model simulations. J.S., A.P. and Y.G.Z. interpreted data. J.S. and A.P. wrote the manuscript, with inputs from Y.G.Z., S.X. and H.Y.

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Correspondence to Jiaheng Shen.

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Nature Geoscience thanks Calum Fox and Donald Penman for their contribution to the peer review of this work. Primary Handling editor: Rebecca Neely, in collaboration with the Nature Geoscience team.

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Extended data

Extended Data Fig. 1 Study area.

Global paleogeography during the Permian-Triassic boundary. The location of Shangsi section is indicated by a red star. Geographical sketch map is modified from ref. 15.

Extended Data Fig. 2

Correlation of Conodont zones and P-Tr boundaries of Meishan, GSSP and Shangsi section (modified from refs. 2,13).

Extended Data Fig. 3 Correlation of bulk organic and phytane carbon isotopic records (δ13Corg and δ13Cphy) from well-studied sections recording the Permian-Triassic mass extinction.

(a) Shangsi section, Sichuan, South China from our study. (b) Hovea-3, Perth Basin, Western Australia. Profiles of δ13Corg (solid triangle), δ13Ckerogen (hollow triangle) and δ13Cphy are from refs. 22,64,65. (c) Lusitaniadalen, Spitsbergen, Northern Norway63. All dashed lines in δ13Cphy represent the LOESS smoothing function. The P-Tr boundary in Hovea-3 is designated in22,64,65. The P-Tr boundary in Lusitaniadalen is not designated in ref. 63 and therefore the correlation is based on C-isotope chemostratigraphy with the δ13Corg negative excursion globally. Black arrows represent two phases of mass extinction. Asterisk indicates the P-Tr boundary based on the first occurrence of H. parvus for global correlation. C.s.—Clarkina subcarinata; C.chClarkina changxingensis; C.y.—Clarkina yini; C.m.—Clarkina meishanensis; H.chHindeodus changxingensis; H.p.—Hindeodus parvus; I.lIsarcicella lobata; I.iIsarcicella isarcica.

Extended Data Fig. 4 Comparison of δ13Corg, kerogen, δ13Cphy, and calculated εp between Shangsi section, Sichuan, South China (black, green and blue circles in each panel) and Hovea-3, Perth Basin, Western Australia (grey, light green and light blue triangles in each panel).

δ13Ckerogen data from Hovea-3 tuned to Shangsi Section using two tie-points (indicated by red arrows) to demonstrate the similarity in pattern and magnitude of their associated δ13Cphy and calculated εp. Error bars in (b) represent 1σ of the mean (n = 2). Error bars in (c) represent 1σ uncertainty in εp calculation based on Monte Carlo simulations with 10,000 times (See Methods). Asterisk indicates the P-Tr boundary based on the first occurrence of H. parvus for global correlation. C.w.—Clarkina wangi; C.s.—Clarkina subcarinata; C.chClarkina changxingensis; C.y.—Clarkina yini; C.m.—Clarkina meishanensis; H.chHindeodus changxingensis; H.p.—Hindeodus parvus; I.lIsarcicella lobata; I.iIsarcicella isarcica.

Extended Data Fig. 5 Permian-Triassic chronology and stable isotope stratigraphic records from Shangsi Section, China.

(a) Litho- and biostratigraphy, lithology and latest geochronology from ref. 13. (b) Bulk organic carbon isotopic compositions (δ13Corg, grey plus) and phytane carbon isotopic compositions (δ13Cphy, blue triangle). Horizontal error bars represent 1σ of the mean (n = 2). (c) total organic carbon (TOC, %, purple diamond). (d) Bulk nitrogen isotopic compositions (δ15NTN, pink hollow square). (e) Total nitrogen (TN, %, green solid square). (f) Cross-correlation of bulk nitrogen isotopic composition (δ15NTN, ‰), total organic carbon (TOC, %) and total nitrogen (TN, %) from Shangsi.

Extended Data Fig. 6 Comparison of pCO2 estimates based on εp from Shangsi Section, Sichuan, South China (pink circles) and seawater pH based on δ11B from Wadi Bih, Musandam Peninsula, United Arab Emirates7.

Data from Wadi Bih were tuned to Shangsi Section using five tie-points (indicated by red arrows), demonstrating the similarity of the pCO2 and pH records during the Permian-Triassic boundary interval. Shaded grey areas represent 68% (dark grey) and 95% (light grey) confidence intervals of pCO2 estimation based on Monte Carlo simulations. Both dashed lines represent the LOESS smoothing function. Asterisk indicates the P-Tr boundary based on the first occurrence of H. parvus for global correlation.

Extended Data Fig. 7 Sensitivity of b-value (a) and sea surface temperature (b) in pCO2 estimation.

(a) Percentage change in pCO2 associated with the uncertainty in b-value related to [PO43−] of 0.17–0.27 μmol/L. (b) Percentage change in pCO2 associated with the uncertainty in sea surface temperature of 4 °C SD.

Extended Data Fig. 8 Relationship between εp, phosphate and sea surface temperature.

Figure assume εf = 28%. Relationship between εp and pCO2 for a range of [PO43−] (0.1–0.6 μmol/L) and temperature (20–30 °C).

Extended Data Fig. 9 LOSCAR sensitivity analyses.

Sensitivity of atmospheric CO2 in response to three different total carbon emissions with the same emission rate in Emission-only mode (a, b) and Emission + biopump mode (c, d), and to three different emission rates with the same total carbon emission in Emission-only mode (e, f) and Emission + biopump mode (g, h). Scenarios 1, 2, and 3 are simulated by 2000, 5000, 10000 Pg C emissions with the same emission rate. Scenarios 4, 5, and 6 are simulated by three emission rates, which follow Gamma distributions. Scenario 4—shape parameter 1.5, scale parameter 15. Scenario 5—shape parameter 1.5, scale parameter 30. Scenario 6—shape parameter 3.0, scale parameter 30. Grey circles are the pCO2 estimates based on εp in our study. RMSE (X kyr): Root Mean Square Error between the pCO2 observation and model predictions from sensitivity analytical runs over the X kyrs starting from PTB.

Extended Data Fig. 10 LOSCAR sensitivity of atmospheric CO2 in response to different initial conditions of pCO2.

Grey circles are the pCO2 estimates based on εp in our study.

Supplementary information

Supplementary Table 2

Wavelength of maximum absorption and predicted porphyrin types detected by HPLC-MS

Supplementary Table 1

Raw data including bulk, \(p_{{\mathrm{CO}}_2}\), lipid biomarker and compound-specific carbon/nitrogen isotope data

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Shen, J., Zhang, Y.G., Yang, H. et al. Early and late phases of the Permian–Triassic mass extinction marked by different atmospheric CO2 regimes. Nat. Geosci. 15, 839–844 (2022). https://doi.org/10.1038/s41561-022-01034-w

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