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Ramme L, Ilyina T, Marotzke J. Moderate greenhouse climate and rapid carbonate formation after Marinoan snowball Earth. Nat Commun 2024; 15:3571. [PMID: 38670992 PMCID: PMC11053170 DOI: 10.1038/s41467-024-47873-6] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/31/2023] [Accepted: 04/09/2024] [Indexed: 04/28/2024] Open
Abstract
When the Marinoan snowball Earth deglaciated in response to high atmospheric carbon dioxide (CO2) concentrations, the planet warmed rapidly. It is commonly hypothesized that the ensuing supergreenhouse climate then declined slowly over hundreds of thousands of years through continental weathering. However, how the ocean affected atmospheric CO2 in the snowball Earth aftermath has never been quantified. Here we show that the ocean's carbon cycle drives the supergreenhouse climate evolution via a set of different mechanisms, triggering scenarios ranging from a rapid decline to an intensification of the supergreenhouse climate. We further identify the rapid formation of carbonate sediments from pre-existing ocean alkalinity as a possible explanation for the enigmatic origin of Marinoan cap dolostones. This work demonstrates that a moderate and relatively short-lived supergreenhouse climate following the Marinoan snowball Earth is a plausible scenario that is in accordance with geological data, challenging the previous hypothesis.
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Affiliation(s)
- Lennart Ramme
- Max Planck Institute for Meteorology, Hamburg, Germany.
- International Max Planck Research School on Earth System Modelling, Hamburg, Germany.
| | - Tatiana Ilyina
- Max Planck Institute for Meteorology, Hamburg, Germany
- Center for Earth System Research and Sustainability (CEN), Universität Hamburg, Hamburg, Germany
- Helmholtz-Zentrum Hereon, Geesthacht, Germany
| | - Jochem Marotzke
- Max Planck Institute for Meteorology, Hamburg, Germany
- Center for Earth System Research and Sustainability (CEN), Universität Hamburg, Hamburg, Germany
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2
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Rousseau DD, Bagniewski W, Lucarini V. A punctuated equilibrium analysis of the climate evolution of cenozoic exhibits a hierarchy of abrupt transitions. Sci Rep 2023; 13:11290. [PMID: 37438407 DOI: 10.1038/s41598-023-38454-6] [Citation(s) in RCA: 1] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/08/2022] [Accepted: 07/08/2023] [Indexed: 07/14/2023] Open
Abstract
The Earth's climate has experienced numerous critical transitions during its history, which have often been accompanied by massive and rapid changes in the biosphere. Such transitions are evidenced in various proxy records covering different timescales. The goal is then to identify, date, characterize, and rank past critical transitions in terms of importance, thus possibly yielding a more thorough perspective on climatic history. To illustrate such an approach, which is inspired by the punctuated equilibrium perspective on the theory of evolution, we have analyzed 2 key high-resolution datasets: the CENOGRID marine compilation (past 66 Myr), and North Atlantic U1308 record (past 3.3 Myr). By combining recurrence analysis of the individual time series with a multivariate representation of the system based on the theory of the quasi-potential, we identify the key abrupt transitions associated with major regime changes that separate various clusters of climate variability. This allows interpreting the time-evolution of the system as a trajectory taking place in a dynamical landscape, whose multiscale features describe a hierarchy of metastable states and associated tipping points.
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Affiliation(s)
- Denis-Didier Rousseau
- Géosciences Montpellier, Université Montpellier, Montpellier, France.
- Institute of Physics-CSE, Division of Geochronology and Environmental Isotopes, Silesian University of Technology, Gliwice, Poland.
- Lamont Doherty Earth Observatory, Columbia University, Palisades, NY, USA.
| | - Witold Bagniewski
- Ecole Normale Supérieure-Paris Sciences et Lettres, Laboratoire de Météorologie Dynamique, Paris, France
| | - Valerio Lucarini
- Department of Mathematics and Statistics, University of Reading, Reading, UK
- Centre for the Mathematics of Planet Earth, University of Reading, Reading, UK
- School of Systems Science, Beijing Normal University, Beijing, People's Republic of China
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3
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Brunetti M, Ragon C. Attractors and bifurcation diagrams in complex climate models. Phys Rev E 2023; 107:054214. [PMID: 37329063 DOI: 10.1103/physreve.107.054214] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/20/2023] [Accepted: 03/28/2023] [Indexed: 06/18/2023]
Abstract
The climate is a complex nonequilibrium dynamical system that relaxes toward a steady state under the continuous input of solar radiation and dissipative mechanisms. The steady state is not necessarily unique. A useful tool to describe the possible steady states under different forcing is the bifurcation diagram, which reveals the regions of multistability, the position of tipping points, and the range of stability of each steady state. However, its construction is highly time consuming in climate models with a dynamical deep ocean, whose relaxation time is of the order of thousand years, or other feedback mechanisms that act on even longer time scales, like continental ice or carbon cycle. Using a coupled setup of the MIT general circulation model, we test two techniques for the construction of bifurcation diagrams with complementary advantages and reduced execution time. The first is based on the introduction of random fluctuations in the forcing and permits to explore a wide part of phase space. The second reconstructs the stable branches using estimates of the internal variability and of the surface energy imbalance on each attractor, and is more precise in finding the position of tipping points.
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Affiliation(s)
- Maura Brunetti
- Group of Applied Physics and Institute for Environmental Sciences, University of Geneva, Bd. Carl-Vogt 66, CH-1205 Geneva, Switzerland
| | - Charline Ragon
- Group of Applied Physics and Institute for Environmental Sciences, University of Geneva, Bd. Carl-Vogt 66, CH-1205 Geneva, Switzerland
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4
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Song H, An Z, Ye Q, Stüeken EE, Li J, Hu J, Algeo TJ, Tian L, Chu D, Song H, Xiao S, Tong J. Mid-latitudinal habitable environment for marine eukaryotes during the waning stage of the Marinoan snowball glaciation. Nat Commun 2023; 14:1564. [PMID: 37015913 PMCID: PMC10073137 DOI: 10.1038/s41467-023-37172-x] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Grants] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/06/2022] [Accepted: 03/06/2023] [Indexed: 04/06/2023] Open
Abstract
During the Marinoan Ice Age (ca. 654-635 Ma), one of the 'Snowball Earth' events in the Cryogenian Period, continental icesheets reached the tropical oceans. Oceanic refugia must have existed for aerobic marine eukaryotes to survive this event, as evidenced by benthic phototrophic macroalgae of the Songluo Biota preserved in black shales interbedded with glacial diamictites of the late Cryogenian Nantuo Formation in South China. However, the environmental conditions that allowed these organisms to thrive are poorly known. Here, we report carbon-nitrogen-iron geochemical data from the fossiliferous black shales and adjacent diamictites of the Nantuo Formation. Iron-speciation data document dysoxic-anoxic conditions in bottom waters, whereas nitrogen isotopes record aerobic nitrogen cycling perhaps in surface waters. These findings indicate that habitable open-ocean conditions were more extensive than previously thought, extending into mid-latitude coastal oceans and providing refugia for eukaryotic organisms during the waning stage of the Marinoan Ice Age.
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Affiliation(s)
- Huyue Song
- State Key Laboratory of Biogeology and Environmental Geology, School of Earth Science, China University of Geosciences, Wuhan, 430074, China.
| | - Zhihui An
- Wuhan Center of China Geological Survey, Wuhan, 430205, China
| | - Qin Ye
- State Key Laboratory of Biogeology and Environmental Geology, School of Earth Science, China University of Geosciences, Wuhan, 430074, China
| | - Eva E Stüeken
- School of Earth & Environmental Sciences, University of St. Andrews, St. Andrews, KY16 9AL, UK
| | - Jing Li
- State Key Laboratory of Biogeology and Environmental Geology, School of Earth Science, China University of Geosciences, Wuhan, 430074, China
| | - Jun Hu
- State Key Laboratory of Biogeology and Environmental Geology, School of Earth Science, China University of Geosciences, Wuhan, 430074, China
| | - Thomas J Algeo
- State Key Laboratory of Biogeology and Environmental Geology, School of Earth Science, China University of Geosciences, Wuhan, 430074, China
- State Key Laboratory of Geological Processes and Mineral Resources, China University of Geosciences, Wuhan, 430074, China
- Department of Geosciences, University of Cincinnati, Cincinnati, OH, 45221-0013, USA
| | - Li Tian
- State Key Laboratory of Biogeology and Environmental Geology, School of Earth Science, China University of Geosciences, Wuhan, 430074, China
| | - Daoliang Chu
- State Key Laboratory of Biogeology and Environmental Geology, School of Earth Science, China University of Geosciences, Wuhan, 430074, China
| | - Haijun Song
- State Key Laboratory of Biogeology and Environmental Geology, School of Earth Science, China University of Geosciences, Wuhan, 430074, China
| | - Shuhai Xiao
- Department of Geosciences, Virginia Tech, Blacksburg, VA, 24061, USA
| | - Jinnan Tong
- State Key Laboratory of Biogeology and Environmental Geology, School of Earth Science, China University of Geosciences, Wuhan, 430074, China
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Olson S, Jansen MF, Abbot DS, Halevy I, Goldblatt C. The Effect of Ocean Salinity on Climate and Its Implications for Earth's Habitability. GEOPHYSICAL RESEARCH LETTERS 2022; 49:e2021GL095748. [PMID: 35864818 PMCID: PMC9286645 DOI: 10.1029/2021gl095748] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 11/01/2021] [Revised: 04/18/2022] [Accepted: 04/18/2022] [Indexed: 06/15/2023]
Abstract
The influence of atmospheric composition on the climates of present-day and early Earth has been studied extensively, but the role of ocean composition has received less attention. We use the ROCKE-3D ocean-atmosphere general circulation model to investigate the response of Earth's present-day and Archean climate system to low versus high ocean salinity. We find that saltier oceans yield warmer climates in large part due to changes in ocean dynamics. Increasing ocean salinity from 20 to 50 g/kg results in a 71% reduction in sea ice cover in our present-day Earth scenario. This same salinity change also halves the pCO2 threshold at which Snowball glaciation occurs in our Archean scenarios. In combination with higher levels of greenhouse gases such as CO2 and CH4, a saltier ocean may allow for a warm Archean Earth with only seasonal ice at the poles despite receiving ∼20% less energy from the Sun.
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Affiliation(s)
- Stephanie Olson
- Department of Earth, Atmospheric, and Planetary SciencePurdue UniversityWest LafayetteINUSA
| | - Malte F. Jansen
- Department of the Geophysical SciencesUniversity of ChicagoChicagoILUSA
| | - Dorian S. Abbot
- Department of the Geophysical SciencesUniversity of ChicagoChicagoILUSA
| | - Itay Halevy
- Department of Earth and Planetary SciencesWeizmann Institute of ScienceRehovotIsrael
| | - Colin Goldblatt
- School of Earth and Ocean SciencesUniversity of VictoriaVictoriaBCCanada
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6
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Abstract
AbstractAnimals, fungi, and algae with complex multicellular bodies all evolved independently from unicellular ancestors. The early history of these major eukaryotic multicellular clades, if not their origins, co-occur with an extreme phase of global glaciations known as the Snowball Earth. Here, I propose that the long-term loss of low-viscosity environments due to several rounds global glaciation drove the multiple origins of complex multicellularity in eukaryotes and the subsequent radiation of complex multicellular groups into previously unoccupied niches. In this scenario, life adapts to Snowball Earth oceans by evolving large size and faster speeds through multicellularity, which acts to compensate for high-viscosity seawater and achieve fluid flow at sufficient levels to satisfy metabolic needs. Warm, low-viscosity seawater returned with the melting of the Snowball glaciers, and with it, by virtue of large and fast multicellular bodies, new ways of life were unveiled.
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Margazoglou G, Grafke T, Laio A, Lucarini V. Dynamical landscape and multistability of a climate model. Proc Math Phys Eng Sci 2021; 477:20210019. [PMID: 35153562 PMCID: PMC8299554 DOI: 10.1098/rspa.2021.0019] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/08/2021] [Accepted: 05/04/2021] [Indexed: 12/15/2022] Open
Abstract
We apply two independent data analysis methodologies to locate stable climate states in an intermediate complexity climate model and analyse their interplay. First, drawing from the theory of quasi-potentials, and viewing the state space as an energy landscape with valleys and mountain ridges, we infer the relative likelihood of the identified multistable climate states and investigate the most likely transition trajectories as well as the expected transition times between them. Second, harnessing techniques from data science, and specifically manifold learning, we characterize the data landscape of the simulation output to find climate states and basin boundaries within a fully agnostic and unsupervised framework. Both approaches show remarkable agreement, and reveal, apart from the well known warm and snowball earth states, a third intermediate stable state in one of the two versions of PLASIM, the climate model used in this study. The combination of our approaches allows to identify how the negative feedback of ocean heat transport and entropy production via the hydrological cycle drastically change the topography of the dynamical landscape of Earth’s climate.
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Affiliation(s)
- Georgios Margazoglou
- Department of Mathematics and Statistics, University of Reading, Reading, UK.,Centre for the Mathematics of Planet Earth, University of Reading, Reading, UK
| | - Tobias Grafke
- Mathematics Institute, University of Warwick, Coventry, UK
| | - Alessandro Laio
- International School for Advanced Studies (SISSA), Trieste, Italy
| | - Valerio Lucarini
- Department of Mathematics and Statistics, University of Reading, Reading, UK.,Centre for the Mathematics of Planet Earth, University of Reading, Reading, UK
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8
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Thermodynamic and Energetic Limits on Continental Silicate Weathering Strongly Impact the Climate and Habitability of Wet, Rocky Worlds. ACTA ACUST UNITED AC 2020. [DOI: 10.3847/1538-4357/ab9362] [Citation(s) in RCA: 22] [Impact Index Per Article: 5.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/18/2022]
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9
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Piltz SH, Harhanen L, Porter MA, Maini PK. Inferring parameters of prey switching in a 1 predator-2 prey plankton system with a linear preference tradeoff. J Theor Biol 2018; 456:108-122. [PMID: 30009794 DOI: 10.1016/j.jtbi.2018.07.005] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/15/2017] [Revised: 06/29/2018] [Accepted: 07/06/2018] [Indexed: 01/31/2023]
Abstract
We construct two ordinary-differential-equation models of a predator feeding adaptively on two prey types, and we evaluate the models' ability to fit data on freshwater plankton. We model the predator's switch from one prey to the other in two different ways: (i) smooth switching using a hyperbolic tangent function; and (ii) by incorporating a parameter that changes abruptly across the switching boundary as a system variable that is coupled to the population dynamics. We conduct linear stability analyses, use approximate Bayesian computation (ABC) combined with a population Monte Carlo (PMC) method to fit model parameters, and compare model results quantitatively to data for ciliate predators and their two algal prey groups collected from Lake Constance on the German-Swiss-Austrian border. We show that the two models fit the data well when the smooth transition is steep, supporting the simplifying assumption of a discontinuous prey-switching behavior for this scenario. We thus conclude that prey switching is a possible mechanistic explanation for the observed ciliate-algae dynamics in Lake Constance in spring, but that these data cannot distinguish between the details of prey switching that are encoded in these different models.
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Affiliation(s)
- Sofia H Piltz
- Department of Applied Mathematics and Computer Science, Technical University of Denmark, Asmussens allé, Bygning 303B, Kongens Lyngby 2800, Denmark; Department of Mathematics, University of Michigan, 2074 East Hall, Ann Arbor, MI 48109-1043, USA.
| | - Lauri Harhanen
- Department of Applied Mathematics and Computer Science, Technical University of Denmark, Asmussens allé, Bygning 303B, Kongens Lyngby 2800, Denmark
| | - Mason A Porter
- Department of Mathematics, University of California, Los Angeles, Los Angeles, CA 90095, USA; Oxford Centre for Industrial and Applied Mathematics, Mathematical Institute, University of Oxford, Andrew Wiles Building, Radcliffe Observatory Quarter, Woodstock Road, Oxford OX2 6GG, UK; CABDyN Complexity Centre, University of Oxford, Oxford OX1 1HP, UK
| | - Philip K Maini
- Wolfson Centre for Mathematical Biology, Mathematical Institute, University of Oxford, Andrew Wiles Building, Radcliffe Observatory Quarter, Woodstock Road, Oxford OX2 6GG, UK; CABDyN Complexity Centre, University of Oxford, Oxford OX1 1HP, UK
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10
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11
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Johnson BW, Poulton SW, Goldblatt C. Marine oxygen production and open water supported an active nitrogen cycle during the Marinoan Snowball Earth. Nat Commun 2017; 8:1316. [PMID: 29105659 PMCID: PMC5673069 DOI: 10.1038/s41467-017-01453-z] [Citation(s) in RCA: 16] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/08/2016] [Accepted: 09/18/2017] [Indexed: 11/24/2022] Open
Abstract
The Neoproterozoic Earth was punctuated by two low-latitude Snowball Earth glaciations. Models permit oceans with either total ice cover or substantial areas of open water. Total ice cover would make an anoxic ocean likely, and would be a formidable barrier to biologic survival. However, there are no direct data constraining either the redox state of the ocean or marine biological productivity during the glacials. Here we present iron-speciation, redox-sensitive trace element, and nitrogen isotope data from a Neoproterozoic (Marinoan) glacial episode. Iron-speciation indicates deeper waters were anoxic and Fe-rich, while trace element concentrations indicate surface waters were in contact with an oxygenated atmosphere. Furthermore, synglacial sedimentary nitrogen is isotopically heavier than the modern atmosphere, requiring a biologic cycle with nitrogen fixation, nitrification and denitrification. Our results indicate significant regions of open marine water and active biologic productivity throughout one of the harshest glaciations in Earth history.
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Affiliation(s)
- Benjamin W Johnson
- School of Earth and Ocean Sciences Bob Wright Centre A405, University of Victoria, PO Box 1700 STN CSC, Victoria, BC, Canada, V8W 2Y2.
- University of Colorado, Department of Geological Sciences UCB 399, Boulder, CO, 80309-0399, USA.
| | - Simon W Poulton
- School of Earth and Environment Maths/Earth and Environment Building, The University of Leeds, Leeds, LS2 9JT, UK
| | - Colin Goldblatt
- School of Earth and Ocean Sciences Bob Wright Centre A405, University of Victoria, PO Box 1700 STN CSC, Victoria, BC, Canada, V8W 2Y2
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12
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Hoffman PF, Abbot DS, Ashkenazy Y, Benn DI, Brocks JJ, Cohen PA, Cox GM, Creveling JR, Donnadieu Y, Erwin DH, Fairchild IJ, Ferreira D, Goodman JC, Halverson GP, Jansen MF, Le Hir G, Love GD, Macdonald FA, Maloof AC, Partin CA, Ramstein G, Rose BEJ, Rose CV, Sadler PM, Tziperman E, Voigt A, Warren SG. Snowball Earth climate dynamics and Cryogenian geology-geobiology. SCIENCE ADVANCES 2017; 3:e1600983. [PMID: 29134193 PMCID: PMC5677351 DOI: 10.1126/sciadv.1600983] [Citation(s) in RCA: 87] [Impact Index Per Article: 12.4] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/04/2016] [Accepted: 09/21/2017] [Indexed: 05/02/2023]
Abstract
Geological evidence indicates that grounded ice sheets reached sea level at all latitudes during two long-lived Cryogenian (58 and ≥5 My) glaciations. Combined uranium-lead and rhenium-osmium dating suggests that the older (Sturtian) glacial onset and both terminations were globally synchronous. Geochemical data imply that CO2 was 102 PAL (present atmospheric level) at the younger termination, consistent with a global ice cover. Sturtian glaciation followed breakup of a tropical supercontinent, and its onset coincided with the equatorial emplacement of a large igneous province. Modeling shows that the small thermal inertia of a globally frozen surface reverses the annual mean tropical atmospheric circulation, producing an equatorial desert and net snow and frost accumulation elsewhere. Oceanic ice thickens, forming a sea glacier that flows gravitationally toward the equator, sustained by the hydrologic cycle and by basal freezing and melting. Tropical ice sheets flow faster as CO2 rises but lose mass and become sensitive to orbital changes. Equatorial dust accumulation engenders supraglacial oligotrophic meltwater ecosystems, favorable for cyanobacteria and certain eukaryotes. Meltwater flushing through cracks enables organic burial and submarine deposition of airborne volcanic ash. The subglacial ocean is turbulent and well mixed, in response to geothermal heating and heat loss through the ice cover, increasing with latitude. Terminal carbonate deposits, unique to Cryogenian glaciations, are products of intense weathering and ocean stratification. Whole-ocean warming and collapsing peripheral bulges allow marine coastal flooding to continue long after ice-sheet disappearance. The evolutionary legacy of Snowball Earth is perceptible in fossils and living organisms.
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Affiliation(s)
- Paul F. Hoffman
- Department of Earth and Planetary Sciences, Harvard University, Cambridge, MA 02138, USA
- School of Earth and Ocean Sciences, University of Victoria, Victoria, British Columbia V8P 5C2, Canada
| | - Dorian S. Abbot
- Department of Geophysical Sciences, University of Chicago, Chicago, IL 60637, USA
| | - Yosef Ashkenazy
- Department of Solar Energy and Environmental Physics, Ben-Gurion University of the Negev, Midreshet Ben-Gurion, 84990, Israel
| | - Douglas I. Benn
- School of Geography and Sustainable Development, University of St Andrews, St Andrews, Fife KY16 8YA, UK
| | - Jochen J. Brocks
- Research School of Earth Sciences, Australian National University, Canberra, Australian Capital Territory 2601, Australia
| | | | - Grant M. Cox
- Centre for Tectonics, Resources and Exploration (TRaX), Department of Earth Sciences, University of Adelaide, Adelaide, South Australia 5005, Australia
- Department of Applied Geology, Curtin University, Bentley, Western Australia 6845, Australia
| | - Jessica R. Creveling
- College of Earth, Ocean, and Atmospheric Sciences, Oregon State University, Corvallis, OR 97331–5503, USA
| | - Yannick Donnadieu
- Laboratoire des Sciences du Climat et de l’Environnement (LSCE), Institut Pierre Simon Laplace (IPSL), CEA-CNRS-UVSQ, Université Paris-Saclay, 91191 Gif-sur-Yvette, France
- Aix-Marseille Université, CNRS, L’Institut de recherche pour le développement (IRD), Centre Européen de Recherche et D’enseignement de Géosciences de L’environnement (CEREGE), 13545 Aix-en-Provence, France
| | - Douglas H. Erwin
- Department of Paleobiology, Smithsonian Institution, P.O. Box 37012, MRC 121, Washington, DC 20013–7012, USA
- Santa Fe Institute, 1399 Hyde Park Road, Santa Fe, NM 87501, USA
| | - Ian J. Fairchild
- School of Geography, Earth and Environmental Sciences, University of Birmingham, Edgbaston, Birmingham B15 2TT, UK
| | - David Ferreira
- Department of Meteorology, University of Reading, Reading, RG6 6BB, UK
| | - Jason C. Goodman
- Department of Environmental Science, Wheaton College, Norton, MA 02766, USA
| | - Galen P. Halverson
- Department of Earth and Planetary Sciences, McGill University, Montréal, Québec H3A 0E8, Canada
| | - Malte F. Jansen
- Department of Geophysical Sciences, University of Chicago, Chicago, IL 60637, USA
| | - Guillaume Le Hir
- Institut de Physique du Globe de Paris, 1, rue Jussieu, 75005 Paris, France
| | - Gordon D. Love
- Department of Earth Sciences, University of California, Riverside, Riverside, CA 92521, USA
| | - Francis A. Macdonald
- Department of Earth and Planetary Sciences, Harvard University, Cambridge, MA 02138, USA
| | - Adam C. Maloof
- Department of Geosciences, Princeton University, Princeton, NJ 08544, USA
| | - Camille A. Partin
- Department of Geological Sciences, University of Saskatchewan, Saskatoon, Saskatchewan S7N 5E2, Canada
| | - Gilles Ramstein
- Laboratoire des Sciences du Climat et de l’Environnement (LSCE), Institut Pierre Simon Laplace (IPSL), CEA-CNRS-UVSQ, Université Paris-Saclay, 91191 Gif-sur-Yvette, France
| | - Brian E. J. Rose
- Department of Atmospheric and Environmental Sciences, University at Albany, Albany, NY 12222, USA
| | | | - Peter M. Sadler
- Department of Earth Sciences, University of California, Riverside, Riverside, CA 92521, USA
| | - Eli Tziperman
- Department of Earth and Planetary Sciences, Harvard University, Cambridge, MA 02138, USA
| | - Aiko Voigt
- Institute of Meteorology and Climate Research, Department of Troposphere Research, Karlsruhe Institute of Technology, Karlsruhe, Baden-Württemberg, Germany
- Lamont-Doherty Earth Observatory, Columbia University, P.O. Box 1000, Palisades, NY 10964–1000, USA
| | - Stephen G. Warren
- Department of Atmospheric Sciences, University of Washington, Seattle, WA 98195–1640, USA
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14
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Constraints on Climate and Habitability for Earth-like Exoplanets Determined from a General Circulation Model. ACTA ACUST UNITED AC 2017. [DOI: 10.3847/1538-4357/aa5ffc] [Citation(s) in RCA: 83] [Impact Index Per Article: 11.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/18/2022]
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15
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Arney G, Domagal-Goldman SD, Meadows VS, Wolf ET, Schwieterman E, Charnay B, Claire M, Hébrard E, Trainer MG. The Pale Orange Dot: The Spectrum and Habitability of Hazy Archean Earth. ASTROBIOLOGY 2016; 16:873-899. [PMID: 27792417 PMCID: PMC5148108 DOI: 10.1089/ast.2015.1422] [Citation(s) in RCA: 35] [Impact Index Per Article: 4.4] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/20/2015] [Accepted: 07/13/2016] [Indexed: 05/21/2023]
Abstract
Recognizing whether a planet can support life is a primary goal of future exoplanet spectral characterization missions, but past research on habitability assessment has largely ignored the vastly different conditions that have existed in our planet's long habitable history. This study presents simulations of a habitable yet dramatically different phase of Earth's history, when the atmosphere contained a Titan-like, organic-rich haze. Prior work has claimed a haze-rich Archean Earth (3.8-2.5 billion years ago) would be frozen due to the haze's cooling effects. However, no previous studies have self-consistently taken into account climate, photochemistry, and fractal hazes. Here, we demonstrate using coupled climate-photochemical-microphysical simulations that hazes can cool the planet's surface by about 20 K, but habitable conditions with liquid surface water could be maintained with a relatively thick haze layer (τ ∼ 5 at 200 nm) even with the fainter young Sun. We find that optically thicker hazes are self-limiting due to their self-shielding properties, preventing catastrophic cooling of the planet. Hazes may even enhance planetary habitability through UV shielding, reducing surface UV flux by about 97% compared to a haze-free planet and potentially allowing survival of land-based organisms 2.7-2.6 billion years ago. The broad UV absorption signature produced by this haze may be visible across interstellar distances, allowing characterization of similar hazy exoplanets. The haze in Archean Earth's atmosphere was strongly dependent on biologically produced methane, and we propose that hydrocarbon haze may be a novel type of spectral biosignature on planets with substantial levels of CO2. Hazy Archean Earth is the most alien world for which we have geochemical constraints on environmental conditions, providing a useful analogue for similar habitable, anoxic exoplanets. Key Words: Haze-Archean Earth-Exoplanets-Spectra-Biosignatures-Planetary habitability. Astrobiology 16, 873-899.
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Affiliation(s)
- Giada Arney
- Astronomy Department, University of Washington, Seattle, Washington, USA
- NASA Astrobiology Institute Virtual Planetary Laboratory, University of Washington, Seattle, Washington, USA
- Astrobiology Program, University of Washington, Seattle, Washington, USA
- Now at: NASA Goddard Space Flight Center, Greenbelt, Maryland, USA
- Now at: NASA Postdoctoral Program, Universities Space Research Association, Columbia, Maryland, USA
| | - Shawn D. Domagal-Goldman
- NASA Astrobiology Institute Virtual Planetary Laboratory, University of Washington, Seattle, Washington, USA
- NASA Goddard Space Flight Center, Greenbelt, Maryland, USA
| | - Victoria S. Meadows
- Astronomy Department, University of Washington, Seattle, Washington, USA
- NASA Astrobiology Institute Virtual Planetary Laboratory, University of Washington, Seattle, Washington, USA
- Astrobiology Program, University of Washington, Seattle, Washington, USA
| | - Eric T. Wolf
- Department of Atmospheric and Oceanic Sciences, Laboratory for Atmospheric and Space Physics, University of Colorado at Boulder, Boulder, Colorado, USA
| | - Edward Schwieterman
- Astronomy Department, University of Washington, Seattle, Washington, USA
- NASA Astrobiology Institute Virtual Planetary Laboratory, University of Washington, Seattle, Washington, USA
- Astrobiology Program, University of Washington, Seattle, Washington, USA
- Now at: NASA Postdoctoral Program, Universities Space Research Association, Columbia, Maryland, USA
- Now at: University of California at Riverside, Riverside, California, USA
- Blue Marble Institute of Science, Seattle, Washington, USA
| | - Benjamin Charnay
- Astronomy Department, University of Washington, Seattle, Washington, USA
- NASA Astrobiology Institute Virtual Planetary Laboratory, University of Washington, Seattle, Washington, USA
- Astrobiology Program, University of Washington, Seattle, Washington, USA
- Now at: Paris-Meudon Observatory, Paris, France
| | - Mark Claire
- NASA Astrobiology Institute Virtual Planetary Laboratory, University of Washington, Seattle, Washington, USA
- Blue Marble Institute of Science, Seattle, Washington, USA
- Department of Earth and Environmental Sciences, University of St Andrews, St Andrews, UK
| | - Eric Hébrard
- NASA Goddard Space Flight Center, Greenbelt, Maryland, USA
- University of Exeter, Exeter, Devon, UK
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16
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Abbot DS. ANALYTICAL INVESTIGATION OF THE DECREASE IN THE SIZE OF THE HABITABLE ZONE DUE TO A LIMITED CO 2 OUTGASSING RATE. THE ASTROPHYSICAL JOURNAL 2016; 827:117. [PMID: 30504962 PMCID: PMC6267982 DOI: 10.3847/0004-637x/827/2/117] [Citation(s) in RCA: 51] [Impact Index Per Article: 6.4] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/18/2022]
Abstract
The habitable zone concept is important because it focuses the scientific search for extraterrestrial life and aids the planning of future telescopes. Recent work has shown that planets near the outer edge of the habitable zone might not actually be able to stay warm and habitable if CO2 outgassing rates are not large enough to maintain high CO2 partial pressures against removal by silicate weathering. In this paper, I use simple equations for the climate and CO2 budget of a planet in the habitable zone that can capture the qualitative behavior of the system. With these equations I derive an analytical formula for an effective outer edge of the habitable zone, including limitations imposed by the CO2 outgassing rate. I then show that climate cycles between a snowball state and a warm climate are only possible beyond this limit if the weathering rate in the snowball climate is smaller than the CO2 outgassing rate (otherwise stable snowball states result). I derive an analytical solution for the climate cycles including a formula for their period in this limit. This work allows us to explore the qualitative effects of weathering processes on the effective outer edge of the habitable zone, which is important because weathering parameterizations are uncertain.
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Affiliation(s)
- Dorian S Abbot
- Department of the Geophysical Sciences, University of Chicago, 5734 South Ellis Avenue, Chicago, IL 60637, USA
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17
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Haqq-Misra J, Kopparapu RK, Batalha NE, Harman CE, Kasting JF. LIMIT CYCLES CAN REDUCE THE WIDTH OF THE HABITABLE ZONE. THE ASTROPHYSICAL JOURNAL 2016; 827:120. [PMID: 30116072 PMCID: PMC6090540 DOI: 10.3847/0004-637x/827/2/120] [Citation(s) in RCA: 84] [Impact Index Per Article: 10.5] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/18/2022]
Abstract
The liquid water habitable zone (HZ) describes the orbital distance at which a terrestrial planet can maintain above-freezing conditions through regulation by the carbonate-silicate cycle. Recent calculations have suggested that planets in the outer regions of the HZ cannot maintain stable, warm climates, but rather should oscillate between long, globally glaciated states and shorter periods of climatic warmth. Such conditions, similar to "Snowball Earth" episodes experienced on Earth, would be inimical to the development of complex land life, including intelligent life. Here, we build on previous studies with an updated energy balance climate model to calculate this "limit cycle" region of the HZ where such cycling would occur. We argue that an abiotic Earth would have a greater CO2 partial pressure than today because plants and other biota help to enhance the storage of CO2 in soil. When we tune our abiotic model accordingly, we find that limit cycles can occur but that previous calculations have overestimated their importance. For G stars like the Sun, limit cycles occur only for planets with CO2 outgassing rates less than that on modern Earth. For K- and M-star planets, limit cycles should not occur; however, M-star planets may be inhospitable to life for other reasons. Planets orbiting late G-type and early K-type stars retain the greatest potential for maintaining warm, stable conditions. Our results suggest that host star type, planetary volcanic activity, and seafloor weathering are all important factors in determining whether planets will be prone to limit cycling.
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Affiliation(s)
- Jacob Haqq-Misra
- Blue Marble Space Institute of Science, 1001 4th Avenue, Suite 3201, Seattle, WA 98154, USA
- NASA Astrobiology Institute's Virtual Planetary Laboratory, P.O. Box 351580, Seattle, WA 98195, USA
| | - Ravi Kumar Kopparapu
- Blue Marble Space Institute of Science, 1001 4th Avenue, Suite 3201, Seattle, WA 98154, USA
- NASA Astrobiology Institute's Virtual Planetary Laboratory, P.O. Box 351580, Seattle, WA 98195, USA
- NASA Goddard Space Flight Center, 8800 Greenbelt Road, Mail Stop 699.0, Building 34, Greenbelt, MD 20771, USA
- Department of Astronomy, University of Maryland, College Park, MD 20742, USA
| | - Natasha E Batalha
- NASA Astrobiology Institute's Virtual Planetary Laboratory, P.O. Box 351580, Seattle, WA 98195, USA
- Department of Astronomy and Astrophysics, The Pennsylvania State University, University Park, PA 16802, USA
- Center for Exoplanets and Habitable Worlds, The Pennsylvania State University, University Park, PA 16802, USA
| | - Chester E Harman
- NASA Astrobiology Institute's Virtual Planetary Laboratory, P.O. Box 351580, Seattle, WA 98195, USA
- Center for Exoplanets and Habitable Worlds, The Pennsylvania State University, University Park, PA 16802, USA
- Department of Geosciences, The Pennsylvania State University, University Park, PA 16802, USA
| | - James F Kasting
- NASA Astrobiology Institute's Virtual Planetary Laboratory, P.O. Box 351580, Seattle, WA 98195, USA
- Center for Exoplanets and Habitable Worlds, The Pennsylvania State University, University Park, PA 16802, USA
- Department of Geosciences, The Pennsylvania State University, University Park, PA 16802, USA
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18
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Shields AL, Barnes R, Agol E, Charnay B, Bitz C, Meadows VS. The Effect of Orbital Configuration on the Possible Climates and Habitability of Kepler-62f. ASTROBIOLOGY 2016; 16:443-64. [PMID: 27176715 PMCID: PMC4900229 DOI: 10.1089/ast.2015.1353] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/19/2015] [Accepted: 02/21/2016] [Indexed: 05/21/2023]
Abstract
UNLABELLED As lower-mass stars often host multiple rocky planets, gravitational interactions among planets can have significant effects on climate and habitability over long timescales. Here we explore a specific case, Kepler-62f (Borucki et al., 2013 ), a potentially habitable planet in a five-planet system with a K2V host star. N-body integrations reveal the stable range of initial eccentricities for Kepler-62f is 0.00 ≤ e ≤ 0.32, absent the effect of additional, undetected planets. We simulate the tidal evolution of Kepler-62f in this range and find that, for certain assumptions, the planet can be locked in a synchronous rotation state. Simulations using the 3-D Laboratoire de Météorologie Dynamique (LMD) Generic global climate model (GCM) indicate that the surface habitability of this planet is sensitive to orbital configuration. With 3 bar of CO2 in its atmosphere, we find that Kepler-62f would only be warm enough for surface liquid water at the upper limit of this eccentricity range, providing it has a high planetary obliquity (between 60° and 90°). A climate similar to that of modern-day Earth is possible for the entire range of stable eccentricities if atmospheric CO2 is increased to 5 bar levels. In a low-CO2 case (Earth-like levels), simulations with version 4 of the Community Climate System Model (CCSM4) GCM and LMD Generic GCM indicate that increases in planetary obliquity and orbital eccentricity coupled with an orbital configuration that places the summer solstice at or near pericenter permit regions of the planet with above-freezing surface temperatures. This may melt ice sheets formed during colder seasons. If Kepler-62f is synchronously rotating and has an ocean, CO2 levels above 3 bar would be required to distribute enough heat to the nightside of the planet to avoid atmospheric freeze-out and permit a large enough region of open water at the planet's substellar point to remain stable. Overall, we find multiple plausible combinations of orbital and atmospheric properties that permit surface liquid water on Kepler-62f. KEY WORDS Extrasolar planets-Habitability-Planetary environments. Astrobiology 16, 443-464.
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Affiliation(s)
- Aomawa L Shields
- 1 NSF Astronomy and Astrophysics Postdoctoral Fellow, UC President's Postdoctoral Program Fellow, Department of Physics and Astronomy, University of California , Los Angeles, and Harvard-Smithsonian Center for Astrophysics, Cambridge, Massachusetts
| | - Rory Barnes
- 2 Department of Astronomy and Astrobiology Program, University of Washington , Seattle, Washington
| | - Eric Agol
- 2 Department of Astronomy and Astrobiology Program, University of Washington , Seattle, Washington
| | - Benjamin Charnay
- 2 Department of Astronomy and Astrobiology Program, University of Washington , Seattle, Washington
| | - Cecilia Bitz
- 3 Department of Atmospheric Sciences, University of Washington , Seattle, Washington
| | - Victoria S Meadows
- 2 Department of Astronomy and Astrobiology Program, University of Washington , Seattle, Washington
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19
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Foley BJ. THE ROLE OF PLATE TECTONIC–CLIMATE COUPLING AND EXPOSED LAND AREA IN THE DEVELOPMENT OF HABITABLE CLIMATES ON ROCKY PLANETS. ACTA ACUST UNITED AC 2015. [DOI: 10.1088/0004-637x/812/1/36] [Citation(s) in RCA: 109] [Impact Index Per Article: 12.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/12/2022]
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20
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Revealing the climate of snowball Earth from Δ17O systematics of hydrothermal rocks. Proc Natl Acad Sci U S A 2015; 112:5337-41. [PMID: 25870269 DOI: 10.1073/pnas.1422887112] [Citation(s) in RCA: 47] [Impact Index Per Article: 5.2] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/18/2022] Open
Abstract
The oxygen isotopic composition of hydrothermally altered rocks partly originates from the interacting fluid. We use the triple oxygen isotope composition ((17)O/(16)O, (18)O/(16)O) of Proterozoic rocks to reconstruct the (18)O/(16)O ratio of ancient meteoric waters. Some of these waters have originated from snowball Earth glaciers and thus give insight into the climate and hydrology of these critical intervals in Earth history. For a Paleoproterozoic [∼2.3-2.4 gigayears ago (Ga)] snowball Earth, δ(18)O = -43 ± 3‰ is estimated for pristine meteoric waters that precipitated at low paleo-latitudes (≤35°N). Today, such low (18)O/(16)O values are only observed in central Antarctica, where long distillation trajectories in combination with low condensation temperatures promote extreme (18)O depletion. For a Neoproterozoic (∼0.6-0.7 Ga) snowball Earth, higher meltwater δ(18)O estimates of -21 ± 3‰ imply less extreme climate conditions at similar paleo-latitudes (≤35°N). Both estimates are single snapshots of ancient water samples and may not represent peak snowball Earth conditions. We demonstrate how (17)O/(16)O measurements provide information beyond traditional (18)O/(16)O measurements, even though all fractionation processes are purely mass dependent.
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21
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Walsh J, Rackauckas C. On the Budyko-Sellers energy balance climate model with ice line coupling. ACTA ACUST UNITED AC 2015. [DOI: 10.3934/dcdsb.2015.20.2187] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/18/2022]
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22
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Re-Os geochronology and coupled Os-Sr isotope constraints on the Sturtian snowball Earth. Proc Natl Acad Sci U S A 2013; 111:51-6. [PMID: 24344274 DOI: 10.1073/pnas.1317266110] [Citation(s) in RCA: 172] [Impact Index Per Article: 15.6] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/18/2022] Open
Abstract
After nearly a billion years with no evidence for glaciation, ice advanced to equatorial latitudes at least twice between 717 and 635 Mya. Although the initiation mechanism of these Neoproterozoic Snowball Earth events has remained a mystery, the broad synchronicity of rifting of the supercontinent Rodinia, the emplacement of large igneous provinces at low latitude, and the onset of the Sturtian glaciation has suggested a tectonic forcing. We present unique Re-Os geochronology and high-resolution Os and Sr isotope profiles bracketing Sturtian-age glacial deposits of the Rapitan Group in northwest Canada. Coupled with existing U-Pb dates, the postglacial Re-Os date of 662.4 ± 3.9 Mya represents direct geochronological constraints for both the onset and demise of a Cryogenian glaciation from the same continental margin and suggests a 55-My duration of the Sturtian glacial epoch. The Os and Sr isotope data allow us to assess the relative weathering input of old radiogenic crust and more juvenile, mantle-derived substrate. The preglacial isotopic signals are consistent with an enhanced contribution of juvenile material to the oceans and glacial initiation through enhanced global weatherability. In contrast, postglacial strata feature radiogenic Os and Sr isotope compositions indicative of extensive glacial scouring of the continents and intense silicate weathering in a post-Snowball Earth hothouse.
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Shields AL, Meadows VS, Bitz CM, Pierrehumbert RT, Joshi MM, Robinson TD. The effect of host star spectral energy distribution and ice-albedo feedback on the climate of extrasolar planets. ASTROBIOLOGY 2013; 13:715-39. [PMID: 23855332 PMCID: PMC3746291 DOI: 10.1089/ast.2012.0961] [Citation(s) in RCA: 26] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/04/2023]
Abstract
Planetary climate can be affected by the interaction of the host star spectral energy distribution with the wavelength-dependent reflectivity of ice and snow. In this study, we explored this effect with a one-dimensional (1-D), line-by-line, radiative transfer model to calculate broadband planetary albedos as input to a seasonally varying, 1-D energy balance climate model. A three-dimensional (3-D) general circulation model was also used to explore the atmosphere's response to changes in incoming stellar radiation, or instellation, and surface albedo. Using this hierarchy of models, we simulated planets covered by ocean, land, and water-ice of varying grain size, with incident radiation from stars of different spectral types. Terrestrial planets orbiting stars with higher near-UV radiation exhibited a stronger ice-albedo feedback. We found that ice extent was much greater on a planet orbiting an F-dwarf star than on a planet orbiting a G-dwarf star at an equivalent flux distance, and that ice-covered conditions occurred on an F-dwarf planet with only a 2% reduction in instellation relative to the present instellation on Earth, assuming fixed CO(2) (present atmospheric level on Earth). A similar planet orbiting the Sun at an equivalent flux distance required an 8% reduction in instellation, while a planet orbiting an M-dwarf star required an additional 19% reduction in instellation to become ice-covered, equivalent to 73% of the modern solar constant. The reduction in instellation must be larger for planets orbiting cooler stars due in large part to the stronger absorption of longer-wavelength radiation by icy surfaces on these planets in addition to stronger absorption by water vapor and CO(2) in their atmospheres, which provides increased downwelling longwave radiation. Lowering the IR and visible-band surface ice and snow albedos for an M-dwarf planet increased the planet's climate stability against changes in instellation and slowed the descent into global ice coverage. The surface ice-albedo feedback effect becomes less important at the outer edge of the habitable zone, where atmospheric CO(2) could be expected to be high such that it maintains clement conditions for surface liquid water. We showed that ∼3-10 bar of CO(2) will entirely mask the climatic effect of ice and snow, leaving the outer limits of the habitable zone unaffected by the spectral dependence of water ice and snow albedo. However, less CO(2) is needed to maintain open water for a planet orbiting an M-dwarf star than would be the case for hotter main-sequence stars.
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Affiliation(s)
- Aomawa L Shields
- Department of Astronomy, University of Washington, Seattle, WA 98195-1580, USA.
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24
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Wolf ET, Toon OB. Hospitable archean climates simulated by a general circulation model. ASTROBIOLOGY 2013; 13:656-673. [PMID: 23808659 DOI: 10.1089/ast.2012.0936] [Citation(s) in RCA: 17] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/02/2023]
Abstract
Evidence from ancient sediments indicates that liquid water and primitive life were present during the Archean despite the faint young Sun. To date, studies of Archean climate typically utilize simplified one-dimensional models that ignore clouds and ice. Here, we use an atmospheric general circulation model coupled to a mixed-layer ocean model to simulate the climate circa 2.8 billion years ago when the Sun was 20% dimmer than it is today. Surface properties are assumed to be equal to those of the present day, while ocean heat transport varies as a function of sea ice extent. Present climate is duplicated with 0.06 bar of CO2 or alternatively with 0.02 bar of CO2 and 0.001 bar of CH4. Hot Archean climates, as implied by some isotopic reconstructions of ancient marine cherts, are unattainable even in our warmest simulation having 0.2 bar of CO2 and 0.001 bar of CH4. However, cooler climates with significant polar ice, but still dominated by open ocean, can be maintained with modest greenhouse gas amounts, posing no contradiction with CO2 constraints deduced from paleosols or with practical limitations on CH4 due to the formation of optically thick organic hazes. Our results indicate that a weak version of the faint young Sun paradox, requiring only that some portion of the planet's surface maintain liquid water, may be resolved with moderate greenhouse gas inventories. Thus, hospitable late Archean climates are easily obtained in our climate model.
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Affiliation(s)
- E T Wolf
- Department of Atmospheric and Oceanic Sciences, Laboratory for Atmospheric and Space Physics, University of Colorado, Boulder, CO 80303-7820, USA.
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