Cited by 774

The DOI matches its Crossref record; 6 of the 6 references it cites were found in a registry or an index.

Future climate forcing potentially without precedent in the last 420 million years

Foster, Gavin L., Royer, Dana L., Lunt, Daniel J.·2017·Nature Communications

Abstract

The evolution of Earth’s climate on geological timescales is largely driven by variations in the magnitude of total solar irradiance (TSI) and changes in the greenhouse gas content of the atmosphere. Here we show that the slow ∼50 Wm −2 increase in TSI over the last ∼420 million years (an increase of ∼9 Wm −2 of radiative forcing) was almost completely negated by a long-term decline in atmospheric CO 2 . This was likely due to the silicate weathering-negative feedback and the expansion of land plants that together ensured Earth’s long-term habitability. Humanity’s fossil-fuel use, if unabated, risks taking us, by the middle of the twenty-first century, to values of CO 2 not seen since the early Eocene (50 million years ago). If CO 2 continues to rise further into the twenty-third century, then the associated large increase in radiative forcing, and how the Earth system would respond, would likely be without geological precedent in the last half a billion years.

Overview

The claims and statistics of this paper haven’t been checked yet.

Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.

A few free checks a day · papers already verified open instantly · results are public

Integrity signals

Registry

Crossref · 10.1038/ncomms14845

Cites

6 of 6 references verified0 citation errors · 0 not checkable

Statistics

Figures

Figure 1 Temporal evolution of climate and atmospheric CO2. Latitudinal extent of continental ice deposits23 (blue bars) and multi-proxy atmospheric CO2 (in p.p.m.) compiled from the literature (data found in Supplementary Data 1; symbols). CO2 from leaf stomata shown in blue circles, pedogenic carbonate δ13C as pink crosses, boron isotopes in foraminifera as green triangles, liverwort δ13C as dark blue filled circles and δ13C of alkenones as dark blue crosses. The most likely LOESS fit through the data, taking into account X- and Y- uncertainty is shown as the blue line (data found in Supplementary Data 2). 68 and 95% confidence intervals are shown as dark and light grey bands. Red line is a linear best fit (curved due to log-scale for y axis) and 95% confidence interval for least squares regression through the CO2 data (m=3.4±0.17 1 s.e.m., R2=0.26, P<0.0005). Black line is least squares fit through the LOESS best fit (blue line) resampled to original data density (m=3.5±0.12 1 s.e.m., R2=0.44, P<0.0005). Dashed line is pre-industrial CO2 (278 p.p.m.). Icehouse time intervals are indicated by a black band and greenhouse intervals by a white band.
Figure 1 Temporal evolution of climate and atmospheric CO2. Latitudinal extent of continental ice deposits23 (blue bars) and multi-proxy atmospheric CO2 (in p.p.m.) compiled from the literature (data found in Supplementary Data 1; symbols). CO2 from leaf stomata shown in blue circles, pedogenic carbonate δ13C as pink crosses, boron isotopes in foraminifera as green triangles, liverwort δ13C as dark blue filled circles and δ13C of alkenones as dark blue crosses. The most likely LOESS fit through the data, taking into account X- and Y- uncertainty is shown as the blue line (data found in Supplementary Data 2). 68 and 95% confidence intervals are shown as dark and light grey bands. Red line is a linear best fit (curved due to log-scale for y axis) and 95% confidence interval for least squares regression through the CO2 data (m=3.4±0.17 1 s.e.m., R2=0.26, P<0.0005). Black line is least squares fit through the LOESS best fit (blue line) resampled to original data density (m=3.5±0.12 1 s.e.m., R2=0.44, P<0.0005). Dashed line is pre-industrial CO2 (278 p.p.m.). Icehouse time intervals are indicated by a black band and greenhouse intervals by a white band.CC BY · PubMed Central
Figure 2 Temporal evolution of climate forcing. (a) CO2 data (blue circles) and LOESS best fit (blue line; Supplementary Data 2) with ΔF for CO2 calculated as in equation (6). The change in solar forcing (ΔFsol) calculated using equations (2 and 3). (b) ΔFCO2,sol for data (blue circles) and LOESS best fit (blue line). Red line is a linear best fit and 95% confidence interval for least squares regression through the ΔFCO2,sol data (blue circles; m=−0.004±0.001 1 s.e.m., R2=0.01, P=0.0003). Black line is least squares fit through the LOESS best fit resampled to original data density (blue line; m=0.008±0.001 1 s.e.m., R2=0.06, P<0.0001). Icehouse time intervals are indicated by a black band and greenhouse intervals by a white band.
Figure 2 Temporal evolution of climate forcing. (a) CO2 data (blue circles) and LOESS best fit (blue line; Supplementary Data 2) with ΔF for CO2 calculated as in equation (6). The change in solar forcing (ΔFsol) calculated using equations (2 and 3). (b) ΔFCO2,sol for data (blue circles) and LOESS best fit (blue line). Red line is a linear best fit and 95% confidence interval for least squares regression through the ΔFCO2,sol data (blue circles; m=−0.004±0.001 1 s.e.m., R2=0.01, P=0.0003). Black line is least squares fit through the LOESS best fit resampled to original data density (blue line; m=0.008±0.001 1 s.e.m., R2=0.06, P<0.0001). Icehouse time intervals are indicated by a black band and greenhouse intervals by a white band.CC BY · PubMed Central
Figure 3 Probability density functions of climate forcing. (a) Atmospheric CO2 with proxy data in blue (Supplementary Data 1) and LOESS best fit (Supplementary Data 2) in red. Vertical lines show maximum atmospheric CO2 from relevant representative concentration pathways (RCP) (colours)39 and from a 12,000 Pg C scenario (from ref. 41; Wink12K, black dashed line). (c) Proxy-based ΔFCO2,sol in blue and LOESS best fit in red along with relevant RCP scenarios (colours)39 and 12,000 Pg C scenario (black dashed line)41.
Figure 3 Probability density functions of climate forcing. (a) Atmospheric CO2 with proxy data in blue (Supplementary Data 1) and LOESS best fit (Supplementary Data 2) in red. Vertical lines show maximum atmospheric CO2 from relevant representative concentration pathways (RCP) (colours)39 and from a 12,000 Pg C scenario (from ref. 41; Wink12K, black dashed line). (c) Proxy-based ΔFCO2,sol in blue and LOESS best fit in red along with relevant RCP scenarios (colours)39 and 12,000 Pg C scenario (black dashed line)41.CC BY · PubMed Central
Figure 4 Temporal evolution of CO2 and climate forcing. (a,b) Proxy-based atmospheric CO2 (Supplementary Data 1) on a log timescale with best fit LOESS and associated uncertainty envelope (Supplementary Data 2). (c) Ice core atmospheric CO2 from ref. 82 on log timescale. (d) Atmospheric CO2 on line timescale from ice core and observation record82 and future RCP8 and other41 scenarios (RCP3PD—grey, RCP4.5—orange, RCP6—red, RCP8.5—brown, Wink12k -black)3840. (e–h) ΔFCO2,sol calculated from data shown in a–d as described in text. In (c) ΔFCO2,sol is calculated from ice core CO2 estimates assuming no change in solar output82. No change in solar output is also applied to the records in h.
Figure 4 Temporal evolution of CO2 and climate forcing. (a,b) Proxy-based atmospheric CO2 (Supplementary Data 1) on a log timescale with best fit LOESS and associated uncertainty envelope (Supplementary Data 2). (c) Ice core atmospheric CO2 from ref. 82 on log timescale. (d) Atmospheric CO2 on line timescale from ice core and observation record82 and future RCP8 and other41 scenarios (RCP3PD—grey, RCP4.5—orange, RCP6—red, RCP8.5—brown, Wink12k -black)3840. (e–h) ΔFCO2,sol calculated from data shown in a–d as described in text. In (c) ΔFCO2,sol is calculated from ice core CO2 estimates assuming no change in solar output82. No change in solar output is also applied to the records in h.CC BY · PubMed Central

Verification

Claims the paper makes

The claims and statistics of this paper haven’t been checked yet.

Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.

A few free checks a day · papers already verified open instantly · results are public

Claims other papers make about this one

Each is checked against this paper’s own text: does it say what the citing paper says it does?

Self-check

Percentages, sums and reported differences re-computed from the paper’s own numbers.

The self-check needs the paper’s full text.

Citations

Cites

Show all 6 references

Research works printed but not linked: 74

  1. Stephens, G. L. et al. The albedo of Earth. Rev. Geophys 53, 141–163 (2015). · DOI
  2. Jones, P. D., New, M., Parker, D. E., Martin, S. & Rigor, I. G. Surface air temperature and its changes over the past 150 years. Rev Geophys 37, 173–199 (1999). · DOI
  3. Lacis, A. A., Schmidt, G. A., Rind, D. & Ruedy, R. A. Atmospheric CO2: principal control knob governing Earth’s temperature. Science 330, 356–359 (2010). · DOI
  4. Kohler, P. et al. What caused Earth’s temperature variations during the last 800,000 years? Data-based evidence on radiative forcing and constraints on climate sensitivity. Quart. Sci. Rev. 29, 129–145 (2010). · DOI
  5. Connelly, J. N. et al. The absolute chronology and thermal processing of solids in the solar protoplanetary disk. Science 338, 651–655 (2012). · DOI
  6. Rohling, E. J. et al. Making sense of palaeoclimate sensitivity. Nature 491, 683–691 (2012). · DOI
  7. Roe, G. Feedbacks timescales, and seeing red. Annu. Rev. Earth Planet. Sci. 37, 93–115 (2009). · DOI
  8. Hansen, J. et al. Target atmospheric CO2: where should humanity aim? Open Atmos. Sci. J. 2, 217–231 (2008). · DOI
  9. Royer, D. L., Berner, R. A. & Park, J. Climate sensitivity constrained by CO2 concentrations over the past 420 million years. Nature 446, 530–532 (2007). · DOI
  10. Martínez-Botí, M. A. et al. Plio-Pleistocene climate sensitivity evaluated using high-resolution CO2 records. Nature 518, 49–54 (2015). · DOI
  11. Grossman, E. L. in Reconstructing Earth’s Deep-time Climate: The State of the Art in 2012: Presented as a Paleontological Society Shor t Course at the Annual Meeting of the Geological Society of America, Charlotte, North Carolina, November 3, 2012, Vol. 18 (eds Ivany, L. C. & Huber, B. T.) 39–67 (The Paleontological Society, 2012).
  12. Schwartzman, D. W. & Volk, T. Biotic enhancement of weathering and the habitability of Earth. Nature 340, 457–459 (1989). · DOI
  13. Byrne, B. & Goldblatt, C. Radiative forcing at high concentrations of well-mixed greenhouse gases. Geophys. Res. Lett. 41, 152–160 (2013). · DOI
  14. Beerling, D. J., Fox, A., Stevenson, D. S. & Valdes, P. J. Enhanced chemistry-climate feedbacks in past greenhouse worlds. Proc. Natl Acad. Sci. USA 108, 9770–9775 (2011). · DOI · Paper page
  15. Anagnostou, E. et al. Changing atmospheric CO2 concentration was the primary driver of early Cenozoic climate. Nature 533, 380–384 (2016). · DOI
  16. Bartdorff, O., Wallmann, K., Latif, M. & Semenov, V. Phanerozoic evolution of atmospheric methane. Global Biogeochem. Cycles 22, GB1008 (2008). · DOI
  17. Nguyen, K. D. T. et al. Upper temperature limits of tropical marine ectotherms: global warming implications. PLoS ONE 6, e29340 (2011). · DOI · Paper page
  18. Raup, D. M. & Sepkoski, J. J. Jr Periodicity of extinctions in the geologic past. Proc. Natl Acad. Sci. USA 81, 801–805 (1984). · DOI
  19. Crowley, T. J. in Tectonic Boundary Conditions for Climatic Reconstructions (eds Crowley, J. L. & Burke, K.) 3–17 (Oxford University Press, 1998). · DOI
  20. Came, R. E. et al. Coupling of surface temperatures and atmospheric CO2 concentrations during the Palaeozoic era. Nature 449, 198–201 (2007). · DOI
  21. Gothmann, A. M. et al. Fossil corals as an archive of secular variations in seawater chemistry since the Mesozoic. Geochim. Cosmochim. Acta 160, 188–208 (2015). · DOI
  22. Cummins, R. C., Finnegan, S., Fike, D. A., Eiler, J. M. & Fischer, W. W. Carbonate clumped isotope constraints on Silurian ocean temperature and seawater δ18O. Geochim. Cosmochim. Acta 140, 241–258 (2014). · DOI · Paper page
  23. Veizer, J. & Prokoph, A. Temperatures and oxygen isotopic composition of the Phanerzoic oceans. Earth-Sci. Rev. 146, 92–104 (2015). · DOI
  24. Royer, D. L. et al. CO2 as a primary driver of Phanerozoic climate. GSA Today 14, 4–10 (2004). · DOI
  25. Breecker, D. O., Sharp, Z. D. & McFadden, L. D. Atmospheric CO2 concentrations during ancient greenhouse climates were similar to those predicted for A.D. 2100. Proc. Natl Acad. Sci. USA 107, 576–580 (2010). · DOI
  26. Chandler, R. & Scott, M. Statistical Methods for Trend Detection and Analysis in the Environmental Sciences Wiley (2011). · DOI
  27. Crowley, T. J. & Berner, R. A. CO2 and climate change. Science 292, 870–872 (2001). · DOI
  28. Royer, D. L. CO2-forced climate thresholds during the Phanerozoic. Geochim. Cosmochim. Acta 70, 5665–5675 (2006). · DOI
  29. West, A. J., Galy, A. & Bickle, M. Tectonic and climatic controls on silicate weathering. Earth Planet. Sci. Lett. 235, 211–228 (2005). · DOI
  30. Foley, B. J. The role of plate tectonic-climate coupling and exposed land area in the development of habitable climates on rocky planets. Astrophys. J. 812, 1–23 (2015). · DOI
  31. Berner, R. A. & Kothavala, Z. GEOCARB III: a revised model of atmospheric CO2 over Phanerozoic time. Am. J. Sci. 301, 182–204 (2001). · DOI · Paper page
  32. McKanzie, N. R. et al. Continental arc volcanism the prinicpal driver of icehouse-greenhouse variability. Science 352, 444–447 (2016). · DOI
  33. Berner, R. A. The rise of plants and their effect on weathering and atmospheric CO2 . Science 276, 544–546 (1997). · DOI · Paper page
  34. Meinshausen, M. et al. The RCP greenhouse gas concentrations and their extensions from 1765 to 2300. Clim. Change 109, 213–241 (2011). · DOI
  35. Rogner, H. H.- et al. in Global Energy Assessment—Toward a Sustainable Future. (eds Johansson, T. B. et al.) 423–512 (Cambridge University Press and the International Institute for Applied Systems Analysis, 2012).
  36. Winklemann, R., Levermann, A., Ridgwell, A. & Caldeira, K. Combustion of available fossil fuel resources sufficient to eliminate the Antarctic Ice Sheet. Sci. Adv. e1500589 (2015). · DOI
  37. Lenton, T. M. et al. Millennial timescale carbon cycle and climate change in an efficient Earth system model. Clim. Dyn. 26, 687–711 (2006). · DOI
  38. Zalasiewicz, J., Williams, M., Haywood, A. & Ellis, M. The Anthropocene: a new epoch of geological time? Philos. Trans. R. Soc. A 369, 835–841 (2011). · DOI · Paper page
  39. Zeebe, R. M., Ridgwell, A. & Zachos, J. C. Anthropogenic carbon release rate unprecedented during the past 66 million years. Nat. Geosci. 9, 325–329 (2016). · DOI
  40. Yapp, C. J. & Poths, H. Carbon isotopes in continental weathering environments and variations in ancient atmospheric CO2 pressure. Earth Planet. Sci. Lett. 137, 71–82 (1996). · DOI
  41. Yapp, C. J. Fe(CO3)OH in goethite from a mid-latitude North American Oxisol: estimate of atmospheric CO2 concentration in the Early Eocene ‘climatic optimum’. Geochim. Cosmochim. Acta 68, 935–947 (2004). · DOI
  42. Tabor, N. J. & Yapp, C. J. Coexisting goethite and gibbsite from a high-paleolatitude (55° N) Late Paleocene laterite: concentration and 13C/12C ratios of occluded CO2 and associated organic matter. Geochim. Cosmochim. Acta 69, 5495–5510 (2005). · DOI
  43. Feng, W. & Yapp, C. J. Paleoenvironmental implications of concentration and 13C/12C ratios of Fe(CO3)OH in goethite from a mid-latitude Cenomanian laterite in southwestern Minnesota. Geochim. Cosmochim. Acta 73, 2559–2580 (2009). · DOI
  44. Rustad, J. R. & Zarzycki, P. Calculation of site-specific carbon-isotope fractionation in pedogenic oxide minerals. Proc. Natl Acad. Sci. USA 105, 10297–10301 (2008). · DOI
  45. Tripati, A. K., Roberts, C. D. & Eagle, R. A. Coupling of CO2 and ice sheet stability over major climate transitions of the last 20 million years. Science 326, 1394–1397 (2009). · DOI
  46. Allen, K. A. & Hönisch, B. The planktic foraminiferal B/Ca proxy for seawater carbonate chemistry: a critical evaluation. Earth Planet. Sci. Lett. 345–348, 203–211 (2012). · DOI
  47. Lowenstein, T. K. & Demicco, R. V. Elevated Eocene atmospheric CO2 and its subsequent decline. Science 313, 1928 (2006). · DOI
  48. Pagani, M., Arthur, M. A. & Freeman, K. H. Miocene evolution of atmospheric carbon dioxide. Paleoceanography 14, 273–292 (1999). · DOI
  49. Pagani, M., Freeman, K. H. & Arthur, M. A. Late Miocene atmospheric CO2 concentrations and the expansion of C4 grasses. Science 285, 876–879 (1999). · DOI
  50. 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). · DOI
  51. Pagani, M. et al. The role of carbon dioxide during the onset of Antarctic glaciation. Science 334, 1261–1264 (2011). · DOI
  52. Zhang, Y. G., Pagani, M., Liu, Z., Bohaty, S. M. & DeConto, R. A 40-million-year history of atmospheric CO2 . Philos. Trans. R. Soc. A 371, 20130096 (2013). · DOI
  53. Fletcher, B. J., Brentnall, S. J., Anderson, C. W., Berner, R. A. & Beerling, D. J. Atmospheric carbon dioxide linked with Mesozoic and early Cenozoic climate change. Nat. Geosci. 1, 43–48 (2008). · DOI
  54. Tipple, B. J., Meyers, S. R. & Pagani, M. Carbon isotope ratio of Cenozoic CO2: a comparative evaluation of available geochemical proxies. Paleoceanography 25, PA3202 (2010). · DOI
  55. McElwain, J. C. & Chaloner, W. G. The fossil cuticle as a skeletal record of environmental change. Palaios 11, 376–388 (1996). · DOI
  56. McElwain, J. C. Do fossil plants signal palaeoatmospheric CO2 concentration in the geological past? Philos. Trans. R. Soc. Lond. B 353, 83–96 (1998). · DOI
  57. Beerling, D. J. & Royer, D. L. Fossil plants as indicators of the Phanerozoic global carbon cycle. Annu. Rev. Earth Planet. Sci. 30, 527–556 (2002). · DOI
  58. Retallack, G. J. Greenhouse crises of the past 300 million years. Geol. Soc. Am. Bull. 121, 1441–1455 (2009). · DOI
  59. Tralau, H. Evolutionary trends in the genus Ginkgo. Lethaia 1, 63–101 (1968). · DOI
  60. Vörding, B. & Kerp, H. Stomatal indices of Peltaspermum martinsii (Pteridospermopsida, Peltaspermaceae) from the Upper Permian Bletterbach Gorge and their possible applicability as CO2 proxies. Neues Jahrb. Geol. Paläontol. 248, 245–255 (2008). · DOI
  61. Breecker, D. O., Sharp, Z. D. & McFadden, L. D. Seasonal bias in the formation and stable isotopic composition of pedogenic carbonate in modern soils from central New Mexico, USA. Geol. Soc. Am. Bull 121, 630–640 (2009). · DOI · Paper page
  62. Montañez, I. P. Modern soil system constraints on reconstructing deep-time atmospheric CO2 . Geochim. Cosmochim. Acta 101, 57–75 (2013). · DOI
  63. Royer, D. L. Fossil soils constrain ancient climate sensitivity. Proc. Natl Acad. Sci. USA 107, 517–518 (2010). · DOI
  64. Retallack, G. J. Refining a pedogenic-carbonate CO2 paleobarometer to quantify a middle Miocene greenhouse spike. Paleogeogr. Paleoclimatol. Paleoecol. 281, 57–65 (2009). · DOI
  65. Cotton, J. M. & Sheldon, N. D. New constraints on using paleosols to reconstruct atmospheric pCO2 . Geol. Soc. Am. Bull 124, 1411–1423 (2012). · DOI
  66. Ekart, D. D., Cerling, T. E., Montañez, I. P. & Tabor, N. J. A 400 million year carbon isotope record of pedogenic carbonate: implications for paleoatmospheric carbon dioxide. Am. J. Sci. 299, 805–827 (1999). · DOI
  67. Tabor, N. J., Yapp, C. J. & Montañez, I. P. Goethite, calcite, and organic matter from Permian and Triassic soils: Carbon isotopes and CO2 concentrations. Geochim. Cosmochim. Acta 68, 1503–1517 (2004). · DOI
  68. Montañez, I. P. et al. CO2-forced climate and vegetation instability during late Paleozoic deglaciation. Science 315, 87–91 (2007). · DOI
  69. Doria, G. et al. Declining atmospheric CO2 during the late Middle Eocene climate transition. Am. J. Sci. 311, 63–75 (2011). · DOI
  70. Beerling, D. J., Fox, A. & Anderson, C. W. Quantitative uncertainty analyses of ancient atmospheric CO2 estimates from fossil leaves. Am. J. Sci. 309, 775–787 (2009). · DOI
  71. Breecker, D. O. Quantifying and understanding the uncertainty of atmospheric CO2 concentrations determined from calcic paleosols. Geochem. Geophys. Geosyst. 14, 3210–3220 (2013). · DOI
  72. Gradstein F. M., Ogg J. G., Schmitz M. D., Ogg G. M. (eds). The Geologic Time Scale 2012 (Elsevier, 2012). · DOI
  73. Schaller, M. F., Wright, J. D., Kent, D. V. & Olsen, P. E. Rapid emplacement of the Central Atlantic Magmatic Province as a net sink for CO2 . Earth Planet. Sci. Lett. 323–324, 27–39 (2012). · DOI
  74. Bereiter, B. et al. Revision of the EPICA Dome C CO2 record from 800 to 600 kyr before present. Geophys. Res. Lett. 42, 542–549 (2015). · DOI

Cited by

See all 774

Metadata

Authors
Foster, G. L., Royer, D. L., & Lunt, D. J.
Venue
Nature Communications
Published
2017-04-04
Volume
8
Issue
1
ISSN
2041-1723
Cited by
774
References
6
Language
en

About these checks

Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.

Statistics and arithmetic are recomputed, not judged.

Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.

What counts as a claim ›How we measure confidence ›How we check this ›

Are you an author, or do you see a problem with this page? Request a review

How to cite

Cite CoChat for the checks on this page, and the paper for its own findings.

This page
CoChat. (2026). Citation check: Future climate forcing potentially without precedent in the last 420 million years. https://app.cochat.ai/papers/10.1038/ncomms14845
The paper
Foster, G. L., Royer, D. L., & Lunt, D. J. (2017). Future climate forcing potentially without precedent in the last 420 million years. Nature Communications. https://doi.org/10.1038/ncomms14845