The dominant external forces influencing the rate of change of the Earth System have been astronomical and geophysical during the planet’s 4.5-billion-year existence. In the last six decades, anthropogenic forcings have driven exceptionally rapid rates of change in the Earth System. This new regime can be represented by an ‘Anthropocene equation’, where other forcings tend to zero, and the rate of change under human influence can be estimated. Reducing the risk of leaving the glacial–interglacial limit cycle of the late Quaternary for an uncertain future will require, in the first instance, the rate of change of the Earth System to become approximately zero.

Barnosky AD, Hadly EA, Bascompte J, . (2012) Approaching a state shift in Earth’s biosphere. Nature 486 5258. Google Scholar CrossRef, Medline
Bell E, Boehnkea P, Harrison TM, . (2015) Potentially biogenic carbon preserved in a 4.1 billion-year-old zircon. PNAS 112(47): 14,51814,521. Google Scholar CrossRef
Berger A, Crucifix M, Hodell DA, . (Past Interglacials Working Group of PAGES) (2016) Interglacials of the last 800,000 years. Reviews of Geophysics 54(1): 1114. Google Scholar
Canfield DE, Glazer AN, Falkowski PG (2010) The evolution and future of Earth’s nitrogen cycle. Science 330: 192196. Google Scholar CrossRef, Medline
Carpenter SR, Bennett EM (2011) Reconsideration of the planetary boundary for phosphorus. Environment Research Letters 6: Available at: http://iopscience.iop.org/issue/1748-9326/6/1 Google Scholar
Ceballos G, Ehrlich PR, Barnosky AD, . (2015) Accelerated modern human-induced species losses: entering the sixth mass extinction. Science Advances 1(5): e1400253. Google Scholar CrossRef, Medline
Church JA, Clark PU, Cazenave A, . (2013) Sea level change. In: Stocker TF, Qin D, Plattner GK, . (eds) 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; New York: Cambridge University Press, pp. 11371216. Google Scholar
Ciais P, Sabine C, Bala G, . (2013) Carbon and other biogeochemical cycles. In: Stocker TF, Qin D, Plattner GK, . (eds) 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; New York: Cambridge University Press, pp. 465570. Google Scholar
Clark PU, Shakun JD, Marcott SA, . (2016) Consequences of twenty-first-century policy for multi-millennial climate and sea-level change. Nature Climate Change 6: 360369. doi: 10.1038/nclimate2923. Google Scholar CrossRef
Crutzen PJ (2002) Geology of mankind – The Anthropocene. Nature 415: 23. Google Scholar CrossRef, Medline
Crutzen PJ, Stoermer EF (2000) The Anthropocene. Global Change Newsletter 41: 1718. Google Scholar
Cui Y, Kump LR, Ridgwell AJ, . (2011) Slow release of fossil carbon during the Palaeocene-Eocene thermal maximum. Nature Geoscience 4(7): 481485. Google Scholar CrossRef
Dalrymple GB (2001) The age of the Earth in the twentieth century: a problem (mostly) solved. Journal of the Geological Society of London 190: 205221. Google Scholar CrossRef
De Vos JM, Joppa LN, Gittleman JL, . (2015) Estimating the normal background rate of species extinction. Conservation Biology 29(2): 452462. Google Scholar CrossRef, Medline
Diffenbaugh NS, Field CB (2013) Changes in ecologically critical terrestrial climate conditions. Science 341: 486492. Google Scholar CrossRef, Medline
Dlugokencky E (2016) NOAA/ESRL. Available at: www.esrl.noaa.gov/gmd/ccgg/trends_ch4/ (accessed 27 July 2016). Google Scholar
Douglas I, Lawson N (2000) The human dimensions of geomorphological work in Britain. Journal of Industrial Ecology 4: 933. Google Scholar CrossRef
Ellis EC, Goldewijk KK, Siebert S, . (2010) Anthropogenic transformation of the biomes, 1700 to 2000. Global Ecology and Biogeography 19: 589606. Available at: http://dx.doi.org/10.1111/j.1466-8238.2010.00540.x Google Scholar
Elsig J, Schmitt J, Leuenberger D, . (2009) Stable isotope constraints on Holocene carbon cycle changes from an Antarctic ice core. Nature 461: 507510. doi:10.1038/nature08393. Available at: http://www.nature.com/nature/journal/v461/n7263/full/nature08393.html Google Scholar
Fowler D, Coyle M, Skiba U, . (2013) The global nitrogen cycle in the 21st century. Philosophical Transactions of the Royal Society B 368(1621): 113. Google Scholar
Ganopolski A, Winkelmann R, Schellnhuber HJ (2016) Critical insolation–CO2 relation for diagnosing past and future glacial inception. Nature 529: 200203. doi:10.1038/nature16494. Google Scholar CrossRef, Medline
Haff PK (2014) Humans and technology in the Anthropocene. Six rules. The Anthropocene Review 1: 126130. Google Scholar Link
Hamilton C, Grinevald J (2015) Was the Anthropocene anticipated? The Anthropocene Review 2: 5972. Google Scholar Link
Hibbard KA, Crutzen PJ, Lambin EF, . (2006) Decadal interactions of humans and the environment. In: Costanza R, Graumlich L, Steffen W (eds) Integrated History and Future of People on Earth Dahlem Workshop Report 96: 341375. Google Scholar
Holdren JP, Ehrlich PR (1974) Human population and the global environment. American Scientist 62: 282292. Google Scholar Medline
Hönisch B, . (2012) The geological record of ocean acidification. Science 335: 10581062. Google Scholar CrossRef, Medline
Intergovernmental Panel on Climate Change (IPCC) (2013) Climate Change 2013: The Physical Science Basis. Contribution of Working Group 1 to the Fifth Assessment Report of the Intergovernmental Panel on Climate Change (Stocker TF, Qin D, Lattner GK, ., eds). Cambridge; New York: Cambridge University Press. Available at: http://www.ipcc.ch/report/ar5/wg1/citation/WGIAR5_Citations_FinalRev1.pdf Google Scholar
Konhauser KO, Pecoits E, Lalonde SV, . (2009) Oceanic nickel depletion and a methanogen famine before the great oxidation event. Nature 458(7239): 750753. Available at: http://dx.doi.org/10.1038/nature07858 Google Scholar
Lenton T (2016) Earth System Science: A Very Short Introduction. Oxford: Oxford University Press, 153 pp. Google Scholar CrossRef
Lenton TM, Williams HTP (2013) On the origin of planetary-scale tipping points. Trends in Ecology & Evolution 28: 380382. Google Scholar CrossRef, Medline
Lewis SL, Maslin MA (2015) Defining the Anthropocene. Nature 519: 171180. Google Scholar CrossRef, Medline
Loulergue LA, Schilt R, Spahni V, . (2008) Orbital and millennial-scale features of atmospheric CH4 over the past 800,000 years. Nature 453: 383386. doi:10.1038/nature06950. Google Scholar CrossRef, Medline
McGregor HV, Evans MN, Goosse H, . (2015) Robust global ocean cooling trend for the pre-industrial common era. Nature Geoscience 8(9): 671677. Available at: http://dx.doi.org/10.1038/ngeo2510 Google Scholar
McNeill JR, Engelke P (2016) The Great Acceleration: An Environmental History of the Anthropocene Since 1945. Cambridge, Massachusetts: Harvard University Press, 288 pp. Google Scholar CrossRef
Malm A, Hornborg A (2015) The geology of mankind? A critique of the Anthropocene narrative. The Anthropocene Review 1: 6269. Google Scholar Link
Marcott SA, Shakun JD, Clark PU, . (2013) A reconstruction of regional and global temperature for the past 11300 years. Science 339(6124): 11981201. Available at: http://dx.doi.org/10.1126/science.1228026 Google Scholar
Milanković MM (1941) Canon of Insolation and the Ice-Age Problem. Belgrade: Koniglich Serbische Academie. Google Scholar
National Oceanic and Atmospheric Administration (2016) State of the Climate: Global Analysis for Annual 2015. National Centers for Environmental Information. Available at: http://www.ncdc.noaa.gov/sotc/global/201513 Google Scholar
Nutman AP, Bennett VC, Friend CRL, . (2016) Rapid emergence of life shown by discovery of 3,700-million-year-old microbial structures. Nature 537: 535538. doi: 10.1038/nature19355. Google Scholar CrossRef, Medline
Petit JR, Jouzel J, Raynaud D, . (1999) Climate and atmospheric history of the past 420,000 years from the Vostok ice core, Antarctica. Nature 399: 429436. Google Scholar CrossRef
Rhein M, Rintoul SR, Aoki S, . (2013) Observations: Ocean. In: Stocker TF, Qin D, Plattner GK (eds) 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; New York: Cambridge University Press, pp. 293294. Google Scholar
Ruddiman WF (2013). The Anthropocene. Annual Review of Earth and Planetary Science 41: 4568. Google Scholar CrossRef
Saunois M, Bousquet P, Poulter B, . (2016) The global methane budget 2000-2012. Earth System Science Data 8: 697751. doi:10.5194/essd-8-697-2016. Google Scholar CrossRef
Schellnhuber HJ (1998) Earth system analysis – the scope of the challenge. In: Schellnuber HJ, Wenzel V (eds) Earth System Analysis: Integrating Science for Sustainability. Berlin; Heidelberg: Springer-Verlag, pp. 5195. Google Scholar CrossRef
Schellnhuber HJ (1999) ‘Earth system’ analysis and the second Copernican revolution. Nature 402: 1923. Google Scholar CrossRef
Schellnhuber HJ (2001) Earth System analysis and management. In: Eckart E, Thomas K (eds) Understanding the Earth System: Compartments, Processes and Interactions. Berlin; Heidelberg: Springer-Verlag, pp. 1755. Google Scholar CrossRef
Singarayer JS, Valdes PJ, Friedlingstein P, . (2011) Late Holocene methane rise caused by orbitally controlled increase in tropical sources. Nature 470: 8285. Google Scholar CrossRef, Medline
Steffen W, Broadgate W, Deutsch L, . (2015b) The trajectory of the Anthropocene: The Great Acceleration. The Anthropocene Review 2: 8198. Google Scholar Link
Steffen W, Crutzen P, McNeill JR (2007) The Anthropocene: are humans now overwhelming the great forces of nature? Ambio 36: 614621. doi: 10.1579/0044-7447(2007)36[614:TAAHNO]2.0.CO;2; pmid: 18240674. Google Scholar CrossRef, Medline
Steffen W, Persson Å, Deutsch L, . (2011) The Anthropocene: from global change to planetary stewardship. Ambio 40: 739761. Google Scholar CrossRef, Medline
Steffen W, Sanderson A, Tyson PD, . (2004) Global Change and the Earth System: A Planet Under Pressure. The IGBP Book Series., Berlin; Heidelberg; New York: Springer-Verlag, 336 pp. Google Scholar
Steffen W, Leinfelder R, Zalasiewicz J., . (2016) Stratigraphic and Earth System approaches to defining the Anthropocene. Earth’s Future 4: doi:eft2/2016EF000379 Google Scholar CrossRef, Medline
Steffen W, Richardson K, Rockström J, . (2015a) Planetary boundaries: guiding human development on a changing planet. Science 347: 1259855. Google Scholar CrossRef, Medline
Syvitski J, Kettner A, Overeem I, . (2009) Sinking deltas due to human activities. Nature Geoscience 2: 681686. doi: 10.1038/ngeo629. Google Scholar CrossRef
Waters CN, Zalasiewicz J, Summerhayes C, . (2016) The Anthropocene is functionally and stratigraphically distinct from the Holocene. Science 351(6269): 137. Google Scholar CrossRef
Williams M, Zalasiewicz J, Haff PK, . (2015) The Anthropocene biosphere. The Anthropocene Review 2(3) 196219. Google Scholar Link
Wolff EW (2011) Greenhouse gases in the Earth system: a palaeoclimate perspective. Philosophical Transactions of the Royal Society London Series A 369: 21332147. Google Scholar CrossRef, Medline
Zalasiewicz J, Williams M, Waters CN, . (2014a) The technofossil record of humans. The Anthropocene Review 1: 3443. Google Scholar Link
Zalasiewicz J, Williams M, Waters CN (2014b) Can an Anthropocene series be defined and recognized? In: Waters CN, Zalasiewicz JA, Williams M, . (eds) A Stratigraphical Basis for the Anthropocene. London: Geological Society, pp. 3953. Google Scholar CrossRef
Zeebe R (2012) History of seawater carbonate chemistry, atmospheric CO2, and ocean acidification. Annual Review Earth and Planetary Science 40: 14165. doi 10.1146/annurev-earth-042711-105521. Google Scholar
Zeebe RE, Ridgwell A, Zachos JC (2016) Anthropogenic carbon release rate unprecedented during the past 66 million years. Nature Geoscience 9: 325329. doi:10.1038/ngeo2681. Google Scholar CrossRef

Your Access Options


Purchase

1 day access for $36.00

Vol 4, Issue 1, 2017

Recommended Citation


The Anthropocene equation

Owen Gaffney1, 2, Will Steffen1, , 3Stockholm University, SwedenFuture Earth, Royal Swedish Academy of Sciences, SwedenThe Australian National University, Australia


The Anthropocene Review

Vol 4, Issue 1, pp. 53 - 61

First published date: February-10-2017


If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click on download.

For more information or tips please see 'Downloading to a citation manager' in the Help menu.

Format

Download article citation data for:
Owen Gaffney, Will Steffen
The Anthropocene Review 2017 4:1, 53-61

Request Permissions

View permissions information for this article

Share

Email