A Bayesian, spatially-varying calibration model for the TEX86 proxy

Abstract TEX86 is an important proxy for constraining ocean temperatures in the Earth’s past. Current calibrations, however, feature structured residuals indicative of a spatially-varying relationship between TEX86 and sea-surface temperatures (SSTs). Here we develop and apply a Bayesian regression approach to the TEX86–SST calibration that explicitly allows for model parameters to smoothly vary as a function of space, and considers uncertainties in the modern SSTs as well as in the TEX86–SST relationship. The spatially-varying model leads to larger uncertainties at locations that are data-poor, while Bayesian inference naturally propagates calibration uncertainty into the uncertainty in the predictions. Applications to both Quaternary and Eocene TEX86 data demonstrate that our approach produces reasonable results, and improves upon previous methods by allowing for probabilistic assessments of past temperatures. The scientific understanding of TEX86 remains imperfect, and the model presented here allows for predictions that implicitly account for the effects of environmental factors other than SSTs that lead to a spatially non-stationary TEX86–SST relationship.

[1]  J. Christen,et al.  Flexible paleoclimate age-depth models using an autoregressive gamma process , 2011 .

[2]  M. Huber,et al.  A Hotter Greenhouse? , 2008, Science.

[3]  Stefan Schouten,et al.  Warm and wet conditions in the Arctic region during Eocene Thermal Maximum 2 , 2009 .

[4]  Y. Itoh,et al.  Variation in molecular species of polar lipids from Thermoplasma acidophilum depends on growth temperature , 2001, Lipids.

[5]  Min-Te Chen,et al.  Paleoenvironmental changes in the northern South China Sea over the past 28,000years: A study of TEX86-derived sea surface temperatures and terrestrial biomarkers , 2011 .

[6]  M. Huber,et al.  Subtropical Arctic Ocean temperatures during the Palaeocene/Eocene thermal maximum , 2006, Nature.

[7]  Peter Huybers,et al.  Recent temperature extremes at high northern latitudes unprecedented in the past 600 years , 2013, Nature.

[8]  G. Mollenhauer,et al.  Core top TEX86 values in the south and equatorial Pacific , 2011 .

[9]  M. Kučera,et al.  Distribution of Crenarchaeota tetraether membrane lipids in surface sediments from the Red Sea , 2009 .

[10]  Stephen Leroy,et al.  Discriminating between climate observations in terms of their ability to improve an ensemble of climate predictions , 2011, Proceedings of the National Academy of Sciences.

[11]  Sudipto Banerjee,et al.  On Geodetic Distance Computations in Spatial Modeling , 2005, Biometrics.

[12]  J. Smerdon,et al.  A Pseudoproxy Evaluation of Bayesian Hierarchical Modeling and Canonical Correlation Analysis for Climate Field Reconstructions over Europe , 2013 .

[13]  Simon P. Wilson,et al.  Bayesian palaeoclimate reconstruction , 2006 .

[14]  A. Post,et al.  Archaea in the Gulf of Aqaba. , 2009, FEMS microbiology ecology.

[15]  Timothy P. Boyer,et al.  World ocean atlas 2013. Volume 2, Salinity , 2002 .

[16]  Stefan Schouten,et al.  Archaeal tetraether membrane lipid fluxes in the northeastern Pacific and the Arabian Sea: Implications for TEX86 paleothermometry , 2006 .

[17]  J. Murphy,et al.  A methodology for probabilistic predictions of regional climate change from perturbed physics ensembles , 2007, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[18]  T. Verleye.  The late Quaternary palaeoenvironmental changes along the western South-American continental slope : a reconstruction based on dinoflagellate cysts and TEX86 , 2011 .

[19]  Stefan Schouten,et al.  New indices and calibrations derived from the distribution of crenarchaeal isoprenoid tetraether lipids: Implications for past sea surface temperature reconstructions , 2010 .

[20]  A. Gliozzi,et al.  Effect of isoprenoid cyclization on the transition temperature of lipids in thermophilic archaebacteria , 1983 .

[21]  Stefan Schouten,et al.  Sedimentation and burial of organic and inorganic temperature proxies in the Mozambique Channel, SW Indian Ocean , 2012 .

[22]  Stefan Schouten,et al.  Temperature-dependent variation in the distribution of tetraether membrane lipids of marine Crenarchaeota: Implications for TEX86 paleothermometry , 2004 .

[23]  Christopher K. Wikle,et al.  Climatological analysis of tornado report counts using a hierarchical Bayesian spatiotemporal model , 2003 .

[24]  Stefan Schouten,et al.  Holocene climate variations in the western Antarctic Peninsula: evidence for sea ice extent predominantly controlled by changes in insolation and ENSO variability , 2013 .

[25]  J. Zachos,et al.  Early Palaeogene temperature evolution of the southwest Pacific Ocean , 2009, Nature.

[26]  B. Christiansen.  Reply to ''Comments on 'Reconstructing the NH Mean Temperature: Can Underestimation of Trends and Variability be Avoided?''' , 2011 .

[27]  Stefan Schouten,et al.  Temporal and spatial variation in tetraether membrane lipids of marine Crenarchaeota in particulate organic matter: Implications for TEX86 paleothermometry , 2005 .

[28]  E. Cook,et al.  Drought Reconstructions for the Continental United States , 1999 .

[29]  Robert Huber,et al.  Prokaryotic phylogenetic diversity and corresponding geochemical data of the brine-seawater interface of the Shaban Deep, Red Sea. , 2002, Environmental microbiology.

[30]  Stefan Schouten,et al.  Southern ocean warming, sea level and hydrological change during the Paleocene-Eocene thermal maximum , 2010 .

[31]  N. Graham,et al.  Continental-scale temperature variability during the past two millennia , 2013 .

[32]  M. Rosa,et al.  Effects of temperature on ether lipid composition of Caldariella acidophila , 1980 .

[33]  Murali Haran,et al.  Piecing together the past: statistical insights into paleoclimatic reconstructions , 2010 .

[34]  P. Markwick.  Equability, continentality, and Tertiary climate: The crocodilian perspective , 1994 .

[35]  A. Shevenell,et al.  Holocene Southern Ocean surface temperature variability west of the Antarctic Peninsula , 2011, Nature.

[36]  Stefan Schouten,et al.  Distributional variations in marine crenarchaeotal membrane lipids: a new tool for reconstructing ancient sea water temperatures? , 2002 .

[37]  Mrinal K. Sen,et al.  Error Reduction and Convergence in Climate Prediction , 2008 .

[38]  Christopher Holmes,et al.  A Bayesian approach to calibrating apatite fission track annealing models for laboratory and geological timescales , 2006 .

[39]  A. D. Jones,et al.  Lipids of marine Archaea: Patterns and provenance in the water-column and sediments , 2007 .

[40]  Peter John Huybers,et al.  A Bayesian Algorithm for Reconstructing Climate Anomalies in Space and Time. Part II: Comparison with the Regularized Expectation–Maximization Algorithm , 2010 .

[41]  L. M. Berliner,et al.  Bayesian hierarchical modeling for temperature reconstruction from geothermal data , 2011, 1107.4905.

[42]  A. Pearson,et al.  Assessing the Use of Archaeal Lipids as Marine Environmental Proxies , 2013 .

[43]  P. Peng,et al.  Archaeal tetraether lipids record subsurface water temperature in the South China Sea , 2012 .

[44]  P. Qian,et al.  Vertical stratification of microbial communities in the Red Sea revealed by 16S rDNA pyrosequencing , 2011, The ISME Journal.

[45]  Peter John Huybers,et al.  A Bayesian Algorithm for Reconstructing Climate Anomalies in Space and Time. Part I: Development and Applications to Paleoclimate Reconstruction Problems , 2010 .

[46]  Jianfang Hu,et al.  Archaeal and bacterial glycerol dialkyl glycerol tetraethers in sediments from the Eastern Lau Spreading Center, South Pacific Ocean , 2012 .

[47]  M. Dietze,et al.  A hierarchical Bayesian approach to the classification of C3 and C4 grass pollen based on SPIRAL δ13C data , 2013 .

[48]  J. Zachos,et al.  Extreme warming of mid-latitude coastal ocean during the Paleocene-Eocene Thermal Maximum: Inferences from TEX86 and isotope data , 2006 .

[49]  Steven A. Lack,et al.  Bayesian Estimation of Stochastic Parameterizations in a Numerical Weather Forecasting Model , 2007 .

[50]  A. Schimmelmann,et al.  A study of the TEX86 paleothermometer in the water column and sediments of the Santa Barbara Basin, California , 2007 .

[51]  Sw. Banerjee,et al.  Hierarchical Modeling and Analysis for Spatial Data , 2003 .

[52]  Stefan Schouten,et al.  Millennial-scale sea surface temperature changes in the eastern Mediterranean (Nile River Delta region) over the last 27,000 years , 2010 .

[53]  D. Nychka,et al.  The Value of Multiproxy Reconstruction of Past Climate , 2010 .

[54]  G. Mollenhauer,et al.  Core-top calibration of the lipid-based U37K′ and TEX86 temperature proxies on the southern Italian shelf (SW Adriatic Sea, Gulf of Taranto) , 2010 .

[55]  Bo Li,et al.  Comments on “Reconstructing the NH Mean Temperature: Can Underestimation of Trends and Variability Be Avoided?” , 2012 .

[56]  C. F. Sirmans,et al.  Spatial Modeling With Spatially Varying Coefficient Processes , 2003 .

[57]  M. Huber,et al.  Re-evaluating modern and Palaeogene GDGT distributions: Implications for SST reconstructions , 2013 .

[58]  David B. Dunson,et al.  Bayesian Data Analysis , 2010 .

[59]  P. Craigmile,et al.  Statistical modeling of extreme value behavior in North American tree-ring density series , 2013, Climatic Change.

[60]  J. N. Richey,et al.  Merging late Holocene molecular organic and foraminiferal‐based geochemical records of sea surface temperature in the Gulf of Mexico , 2011 .

[61]  A. V. van Duin,et al.  Crenarchaeol: the characteristic core glycerol dibiphytanyl glycerol tetraether membrane lipid of cosmopolitan pelagic crenarchaeota. , 2002, Journal of lipid research.

[62]  Noel A Cressie,et al.  Long-Lead Prediction of Pacific SSTs via Bayesian Dynamic Modeling , 2000 .

[63]  P. Chong.  Archaebacterial bipolar tetraether lipids: Physico-chemical and membrane properties. , 2010, Chemistry and physics of lipids.

[64]  P. Pearson,et al.  Stable warm tropical climate through the Eocene Epoch , 2007 .

[65]  Stefan Schouten,et al.  Towards calibration of the TEX86 palaeothermometer for tropical sea surface temperatures in ancient greenhouse worlds , 2007 .

[66]  Richard A. Levine,et al.  Bayesian Climate Change Assessment. , 2000 .

[67]  Alan C. Mix,et al.  Foraminiferal faunal estimates of paleotemperature: Circumventing the No‐analog problem yields cool Ice Age tropics , 1999 .

[68]  Hao Zhang.  Inconsistent Estimation and Asymptotically Equal Interpolations in Model-Based Geostatistics , 2004 .

[69]  P. Masqué,et al.  Climate conditions in the westernmost Mediterranean over the last two millennia: An integrated biomarker approach , 2013 .

[70]  Richard L. Smith,et al.  Bayesian Modeling of Uncertainty in Ensembles of Climate Models , 2009 .

[71]  J. Tierney,et al.  Biomarker-Based Inferences of Past Climate: The TEX 86 Paleotemperature Proxy , 2014 .

[72]  Bruno Sansó,et al.  Joint projections of temperature and precipitation change from multiple climate models: a hierarchical Bayesian approach , 2009 .

[73]  M. Schulz,et al.  Glacial-interglacial variability in Atlantic meridional overturning circulation and thermocline adjustments in the tropical North Atlantic , 2010 .

[74]  L. Mark Berliner,et al.  Spatiotemporal Hierarchical Bayesian Modeling Tropical Ocean Surface Winds , 2001 .

[75]  Chris E. Forest,et al.  Statistical calibration of climate system properties , 2009 .

[76]  Francis W. Zwiers,et al.  A bayesian climate change detection and attribution assessment , 2005 .

[77]  Stefan Schouten,et al.  Archaea mediate anaerobic oxidation of methane in deep euxinic waters of the Black Sea , 2003 .

[78]  Richard L. Smith,et al.  Quantifying Uncertainty in Projections of Regional Climate Change: A Bayesian Approach to the Analysis of Multimodel Ensembles , 2005 .

[79]  Stefan Schouten,et al.  Extremely high sea-surface temperatures at low latitudes during the middle Cretaceous as revealed by archaeal membrane lipids , 2003 .

[80]  M. Huber,et al.  Climate of the Past Discussions , 2005 .

[81]  T. Reinthaler,et al.  Contribution of Archaea to Total Prokaryotic Production in the Deep Atlantic Ocean , 2005, Applied and Environmental Microbiology.

[82]  E. Delong,et al.  Vertical distribution and phylogenetic characterization of marine planktonic Archaea in the Santa Barbara Channel , 1997, Applied and environmental microbiology.

[83]  Jun S. Liu,et al.  Monte Carlo strategies in scientific computing , 2001 .

[84]  Annette Menzel,et al.  Bayesian analysis of climate change impacts in phenology , 2004 .

[85]  Stefan Schouten,et al.  Global sediment core-top calibration of the TEX86 paleothermometer in the ocean , 2008 .

[86]  Stefan Schouten,et al.  Comment on “Lipids of marine Archaea: Patterns and provenance in the water column and sediments” by Turich et al. (2007) , 2008 .

[87]  R. Kopp,et al.  Probabilistic assessment of sea level during the last interglacial stage , 2009, Nature.

[88]  G. Mollenhauer,et al.  Origins of archaeal tetraether lipids in sediments : Insights from radiocarbon analysis , 2008 .

[89]  C. Chazen.  Holocene climate evolution of the eastern tropical Pacific told from high resolution climate records from the Peru margin and equatorial upwelling regions , 2011 .

[90]  L. Sloan,et al.  Trends, Rhythms, and Aberrations in Global Climate 65 Ma to Present , 2001, Science.

[91]  R. Coggon,et al.  Reconstructing Past Seawater Mg/Ca and Sr/Ca from Mid-Ocean Ridge Flank Calcium Carbonate Veins , 2010, Science.

[92]  Mark E. Borsuk,et al.  Robust Bayesian uncertainty analysis of climate system properties using Markov chain Monte Carlo methods , 2007 .

[93]  Jinxiang Wang,et al.  Spatial Variations in Archaeal Lipids of Surface Water and Core-Top Sediments in the South China Sea and Their Implications for Paleoclimate Studies , 2011, Applied and Environmental Microbiology.

[94]  Stefan Schouten,et al.  Crenarchaeol tracks winter blooms of ammonia‐oxidizing Thaumarchaeota in the coastal North Sea , 2011 .

[95]  L. Aluwihare,et al.  Quantifying archaeal community autotrophy in the mesopelagic ocean using natural radiocarbon. , 2006, Proceedings of the National Academy of Sciences of the United States of America.

[96]  M. Huber,et al.  Tropical sea temperatures in the high-latitude South Pacific during the Eocene , 2009 .

[97]  E. Delong,et al.  Archaeal dominance in the mesopelagic zone of the Pacific Ocean , 2001, Nature.

[98]  Stefan Schouten,et al.  Large changes in seasonal sea ice distribution and productivity in the Sea of Okhotsk during the deglaciations , 2009 .

[99]  M. Hughes,et al.  An efficient forward model of the climate controls on interannual variation in tree-ring width , 2011 .

[100]  C. Paciorek,et al.  Mapping Ancient Forests: Bayesian Inference for Spatio-Temporal Trends in Forest Composition Using the Fossil Pollen Proxy Record , 2009, Journal of the American Statistical Association.

[101]  Henk Brinkhuis,et al.  Climate Transition Global Cooling During the Eocene-Oligocene , 2009 .

[102]  L. Ivany,et al.  Warm, not super-hot, temperatures in the early Eocene subtropics , 2011 .

[103]  J. Damsté,et al.  Warm Middle Jurassic–Early Cretaceous high-latitude sea-surface temperatures from the Southern Ocean , 2011 .

[104]  J. Marotzke,et al.  A model–data comparison for a multi-model ensemble of early Eocene atmosphere–ocean simulations: EoMIP , 2012 .