Measuring Global Ocean Heat Content to Estimate the Earth Energy Imbalance

The energy radiated by the Earth towards space does not compensate the incoming radiation from the Sun leading to a small positive energy imbalance at the top of the atmosphere (0.4-1.Wm-2). This imbalance is coined Earth’s Energy Imbalance (EEI). It is mostly caused by anthropogenic greenhouse gases emissions and is driving the current warming of the planet. Precise monitoring of EEI is critical to assess the current status of climate change and the future evolution of climate. But the monitoring of EEI is challenging as EEI is two order of magnitude smaller than the radiation fluxes in and out of the Earth. Over 93% of the excess energy that is gained by the Earth in response to the positive EEI accumulates into the ocean in the form of heat. This accumulation of heat can be tracked with the ocean observing system such that today, the monitoring of Ocean Heat Content (OHC) and its long-term change provide the most efficient approach to estimate EEI. In this community paper we review the current four state-of-the-art methods to estimate global OHC changes and evaluate their relevance to derive EEI estimate on different time scales. These four methods make use of : 1) direct observations of in situ temperature; 2) satellite-based measurements of the ocean surface net heat fluxes; 3) satellite-based estimates of the thermal expansion of the ocean and 4) ocean reanalyses that assimilate observations from both satellite and in situ instruments. For each method we review the potential and the uncertainty of the method to estimate global OHC changes. We also analyze gaps in the current capability of each method and identify ways of progress for the future to fulfill the requirements of EEI monitoring. Achieving the observation of EEI with sufficient accuracy will depend on merging the remote sensing techniques with in situ measurements of key variables as an integral part of the Ocean Observing System.

[1]  S. Levitus,et al.  Global ocean heat content 1955–2008 in light of recently revealed instrumentation problems , 2007 .

[2]  A. Cazenave,et al.  Effect of the processing methodology on satellite altimetry-based global mean sea level rise over the Jason-1 operating period , 2014, Journal of Geodesy.

[3]  Peter J. Gleckler,et al.  Improved estimates of upper-ocean warming and multi-decadal sea-level rise , 2008, Nature.

[4]  A. Cazenave,et al.  A new assessment of the error budget of global mean sea level rate estimated by satellite altimetry over 1993–2008 , 2009 .

[5]  W. Munk Ocean Freshening, Sea Level Rising , 2003, Science.

[6]  K. Trenberth,et al.  The Annual Cycle of the Energy Budget. Part I: Global Mean and Land–Ocean Exchanges , 2008 .

[7]  G. Johnson,et al.  Deep and abyssal ocean warming from 35 years of repeat hydrography , 2016 .

[8]  Jeffery R. Scott,et al.  Southern Ocean warming delayed by circumpolar upwelling and equatorward transport , 2016 .

[9]  D. Davies,et al.  Earth's surface heat flux , 2009 .

[10]  M. Ablain,et al.  Accuracy of the mean sea level continuous record with future altimetric missions: Jason-3 vs. Sentinel-3a , 2015 .

[11]  K. Tseng,et al.  Satellite Altimetry , 2014 .

[12]  G. Johnson,et al.  As El Niño builds, Pacific Warm Pool expands, ocean gains more heat , 2017 .

[13]  Xiaolong Dong,et al.  The radar altimeter and scatterometer of China's HY-2 satellite , 2004, IGARSS 2004. 2004 IEEE International Geoscience and Remote Sensing Symposium.

[14]  Stefan Rahmstorf,et al.  Global temperature evolution 1979–2010 , 2011 .

[15]  Matt A. King,et al.  Ocean Bottom Deformation Due To Present‐Day Mass Redistribution and Its Impact on Sea Level Observations , 2017 .

[16]  Fan Wang,et al.  Introduction to international NPOCE program , 2010 .

[17]  N. Loeb,et al.  Observing Interannual Variations in Hadley Circulation Atmospheric Diabatic Heating and Circulation Strength , 2014 .

[18]  Tomoko Hasegawa,et al.  Scenarios towards limiting global mean temperature increase below 1.5 °C , 2018, Nature Climate Change.

[19]  K. Koltermann,et al.  How much is the ocean really warming? , 2007 .

[20]  J. Kennedy,et al.  Copernicus Marine Service Ocean State Report , 2018, Journal of Operational Oceanography.

[21]  Benveniste,et al.  An Accurate and Homogeneous Altimeter Sea Level Record from the ESA Climate Change Initiative , 2017 .

[22]  R. Scharroo,et al.  Integrating Jason-2 into a Multiple-Altimeter Climate Data Record , 2010 .

[23]  V. Gouretski,et al.  On depth and temperature biases in bathythermograph data: Development of a new correction scheme based on analysis of a global ocean database , 2010 .

[24]  Anny Cazenave,et al.  Evaluation of the Global Mean Sea Level Budget between 1993 and 2014 , 2016, Surveys in Geophysics.

[25]  J. Benveniste,et al.  Radar Altimetry: Past, Present and Future , 2011 .

[26]  John Abraham,et al.  XBT Science: Assessment of Instrumental Biases and Errors , 2016 .

[27]  G. Johnson,et al.  Estimating Annual Global Upper-Ocean Heat Content Anomalies despite Irregular In Situ Ocean Sampling* , 2008 .

[28]  V. Gouretski World Ocean Circulation Experiment – Argo Global Hydrographic Climatology , 2018, Ocean Science.

[29]  E. F. Bradley,et al.  Bulk Parameterization of Air–Sea Fluxes: Updates and Verification for the COARE Algorithm , 2003 .

[30]  Byron D. Tapley,et al.  Earth’s Energy Imbalance Measured From Space , 2019, IEEE Transactions on Geoscience and Remote Sensing.

[31]  S. Levitus,et al.  World ocean heat content and thermosteric sea level change (0–2000 m), 1955–2010 , 2012 .

[32]  W. Munk,et al.  Measurement of the Roughness of the Sea Surface from Photographs of the Sun’s Glitter , 1954 .

[33]  D. Roemmich,et al.  135 years of global ocean warming between the Challenger expedition and the Argo Programme , 2012 .

[34]  J. Jungclaus,et al.  Revisiting the Meteor 1925–1927 hydrographic dataset reveals centennial full‐depth changes in the Atlantic Ocean , 2013 .

[35]  John Abraham,et al.  Observed and simulated full-depth ocean heat-content changes for 1970–2005 , 2016 .

[36]  Full‐depth temperature trends in the northeastern Atlantic through the early 21st century , 2014 .

[37]  Dennis A. Hansell,et al.  Changes in Ocean Heat, Carbon Content, and Ventilation: A Review of the First Decade of GO-SHIP Global Repeat Hydrography. , 2016, Annual review of marine science.

[38]  W. Feng,et al.  Global sea level variations from altimetry, GRACE and Argo data over 2005–2014 , 2015 .

[39]  Patrick Minnis,et al.  Impact of Ice Cloud Microphysics on Satellite Cloud Retrievals and Broadband Flux Radiative Transfer Model Calculations , 2017 .

[40]  Kathleen J. Vigness-Raposa,et al.  A global ocean acoustic observing network , 2010 .

[41]  E. L. Andreas Sea spray and the turbulent air‐sea heat fluxes , 1992 .

[42]  Andrew J. Plater,et al.  Book reviewSea-level change: Roger Revelle; Studies in Geophysics, National Research Council, National Academy Press, Washington, DC, 1990; xii + 246 pp.; USD 29.95, GBP 25.75; ISBN 0-309-04039 , 1992 .

[43]  W. Collins,et al.  Simulating aerosols using a chemical transport model with assimilation of satellite aerosol retrievals: Methodology for INDOEX , 2001 .

[44]  S. Seneviratne,et al.  The energy balance over land and oceans: an assessment based on direct observations and CMIP5 climate models , 2015, Climate Dynamics.

[45]  Bertrand Chapron,et al.  Global Observations of Fine-Scale Ocean Surface Topography With the Surface Water and Ocean Topography (SWOT) Mission , 2010, Front. Mar. Sci..

[46]  Bruce J. Haines,et al.  Towards the 1 mm/y Stability of the Radial Orbit Error at Regional Scales , 2014 .

[47]  G. Hegerl,et al.  Detection and attribution of climate change: from global to regional , 2013 .

[48]  Stephen C. Riser,et al.  The Argo Program : present and future , 2017 .

[49]  J. Molines,et al.  Chaotic Variability of Ocean: Heat Content Climate-Relevant Features and Observational Implications , 2018, Oceanography.

[50]  A. Cazenave,et al.  Uncertainty in Satellite estimate of Global Mean Sea Level changes, trend and acceleration , 2019 .

[51]  Lijing Cheng,et al.  Time, Probe Type, and Temperature Variable Bias Corrections to Historical Expendable Bathythermograph Observations , 2014 .

[52]  Gregory C. Johnson,et al.  Robust warming of the global upper ocean , 2010, Nature.

[53]  Mikael Kuusela,et al.  Locally stationary spatio-temporal interpolation of Argo profiling float data , 2017, Proceedings of the Royal Society A.

[54]  T. Andrews,et al.  An update on Earth's energy balance in light of the latest global observations , 2012 .

[55]  Kevin E. Trenberth,et al.  Regional Energy and Water Cycles: Transports from Ocean to Land , 2013 .

[56]  Robert G. Ellingson,et al.  Surface longwave fluxes from satellite observations: A critical review , 1995 .

[57]  E. F. Bradley,et al.  Bulk parameterization of air‐sea fluxes for Tropical Ocean‐Global Atmosphere Coupled‐Ocean Atmosphere Response Experiment , 1996 .

[58]  Kevin E. Trenberth,et al.  Covariability of Components of Poleward Atmospheric Energy Transports on Seasonal and Interannual Timescales , 2003 .

[59]  D. Swift,et al.  Profiling Floats in SOCCOM: Technical Capabilities for Studying the Southern Ocean , 2018, Journal of Geophysical Research: Oceans.

[60]  E. Fetzer,et al.  The Observed State of the Energy Budget in the Early Twenty-First Century , 2015 .

[61]  K. Taylor,et al.  Quantifying underestimates of long-term upper-ocean warming , 2014 .

[62]  Richard P Allan,et al.  Changes in global net radiative imbalance 1985–2012 , 2014, Geophysical research letters.

[63]  M Sidran,et al.  Broadband reflectance and emissivity of specular and rough water surfaces. , 1981, Applied optics.

[64]  P. Heimbach,et al.  Ocean Data Assimilation in Support of Climate Applications: Status and Perspectives. , 2016, Annual review of marine science.

[65]  Josh K. Willis,et al.  Balancing the Sea Level Budget , 2011 .

[66]  J. Kusche,et al.  Processing Choices Affect Ocean Mass Estimates From GRACE , 2019, Journal of Geophysical Research: Oceans.

[67]  Richard S. Lampitt,et al.  Ocean Reference Stations , 2012 .

[68]  David R. Doelling,et al.  Observed changes in top-of-the-atmosphere radiation and upper-ocean heating consistent within uncertainty , 2012 .

[69]  L. Haimberger,et al.  Toward Consistent Diagnostics of the Coupled Atmosphere and Ocean Energy Budgets , 2017 .

[70]  Jae Hak Lee,et al.  The Global Ocean Ship-Based Hydrographic Investigations Program (GO-SHIP): A Platform for Integrated Multidisciplinary Ocean Science , 2019, Front. Mar. Sci..

[71]  D. Chambers,et al.  Ocean bottom pressure seasonal cycles and decadal trends from GRACE Release-05: Ocean circulation implications , 2013 .

[72]  David M. Winker,et al.  Improvements of top-of-atmosphere and surface irradiance computations with CALIPSO-, CloudSat-, and MODIS-derived cloud and aerosol properties , 2011 .

[73]  Eric Rignot,et al.  Revisiting the Earth's sea-level and energy budgets from 1961 to 2008 , 2011 .

[74]  J. Willis,et al.  Adequacy of the Ocean Observation System for Quantifying Regional Heat and Freshwater Storage and Change , 2019, Front. Mar. Sci..

[75]  K. Trenberth,et al.  The flow of energy through the earth's climate system , 2004 .

[76]  Thierry Carval,et al.  On the Future of Argo: A Global, Full-Depth, Multi-Disciplinary Array , 2019, Front. Mar. Sci..

[77]  John Abraham,et al.  A review of global ocean temperature observations: Implications for ocean heat content estimates and climate change , 2013, Reviews of Geophysics.

[78]  G. Gawarkiewicz,et al.  Recent accelerated warming of the continental shelf off New Jersey: Observations from the CMV Oleander expendable bathythermograph line , 2015 .

[79]  Jiang Zhu,et al.  Influences of the Choice of Climatology on Ocean Heat Content Estimation , 2015 .

[80]  J. Willis,et al.  Deep-ocean contribution to sea level and energy budget not detectable over the past decade , 2014 .

[81]  Stephen G. Penny,et al.  Coupled Data Assimilation for Integrated Earth System Analysis and Prediction: Goals, Challenges, and Recommendations , 2017 .

[82]  David W. Hancock,et al.  On the "Cal-Mode" Correction to TOPEX Satellite Altimetry and Its Effect on the Global Mean Sea Level Time Series , 2017 .

[83]  K. Schuckmann,et al.  How well can we derive Global Ocean Indicators from Argo data , 2011 .

[84]  N. Rabalais,et al.  Trends in summer bottom-water temperatures on the northern Gulf of Mexico continental shelf from 1985 to 2015 , 2017, PloS one.

[85]  A. Monin,et al.  Basic laws of turbulent mixing in the surface layer of the atmosphere , 2009 .

[86]  D. Easterling,et al.  Observations: Atmosphere and surface , 2013 .

[87]  G. Johnson,et al.  Estimating Global Ocean Heat Content Changes in the Upper 1800 m since 1950 and the Influence of Climatology Choice , 2014 .

[88]  Patrick Heimbach,et al.  NASA Supercomputer Improves Prospects for Ocean Climate Research , 2005 .

[89]  Carling C Hay,et al.  Bias in Estimates of Global Mean Sea Level Change Inferred from Satellite Altimetry , 2018, Journal of Climate.

[90]  R. S. Nerem,et al.  Comparison of Global Mean Sea Level Time Series from TOPEX/Poseidon, Jason-1, and Jason-2 , 2012 .

[91]  Timothy P. Boyer,et al.  Sensitivity of Global Upper-Ocean Heat Content Estimates to Mapping Methods, XBT Bias Corrections, and Baseline Climatologies* , 2016 .

[92]  P. Brohan,et al.  Estimating sampling uncertainty in fixed‐depth and fixed‐isotherm estimates of ocean warming , 2011 .

[93]  J. Gregory,et al.  Understanding projections of sea level rise in a Hadley Centre coupled climate model , 2006 .

[94]  Bryan A. Baum,et al.  Clouds and the Earth's Radiant Energy System (CERES) , 1995 .

[95]  J. Gregory,et al.  Ocean heat uptake and its consequences for the magnitude of sea level rise and climate change , 2012 .

[96]  Gregory C. Johnson,et al.  Warming of Global Abyssal and Deep Southern Ocean Waters between the 1990s and 2000s: Contributions to Global Heat and Sea Level Rise Budgets* , 2010 .

[97]  Byron D. Tapley,et al.  Contribution of ice sheet and mountain glacier melt to recent sea level rise , 2013 .

[98]  Lijing Cheng,et al.  Uncertainties of the Ocean Heat Content Estimation Induced by Insufficient Vertical Resolution of Historical Ocean Subsurface Observations , 2014 .

[99]  M. Ablain,et al.  Evaluation of wet troposphere path delays from atmospheric reanalyses and radiometers and their impact on the altimeter sea level , 2014 .

[100]  Nicolas Picot,et al.  Comparing Altimetry with Tide Gauges and Argo Profiling Floats for Data Quality Assessment and Mean Sea Level Studies , 2012 .

[101]  John Abraham,et al.  How fast are the oceans warming? , 2019, Science.

[102]  J. Gregory,et al.  Concepts and Terminology for Sea Level: Mean, Variability and Change, Both Local and Global , 2019, Surveys in Geophysics.

[103]  Lijing Cheng,et al.  Insights into Earth’s Energy Imbalance from Multiple Sources , 2016 .

[104]  D. Chambers,et al.  GRACE, time-varying gravity, Earth system dynamics and climate change , 2014, Reports on progress in physics. Physical Society.

[105]  E. K. Webb,et al.  Correction of flux measurements for density effects due to heat and water vapour transfer , 1980 .

[106]  J. Marotzke,et al.  The subtle origins of surface-warming hiatuses , 2017 .

[107]  K. Masuda,et al.  Emissivity of pure and sea waters for the model sea surface in the infrared window regions , 1988 .

[108]  Gary T. Mitchum,et al.  Estimating Mean Sea Level Change from the TOPEX and Jason Altimeter Missions , 2010 .

[109]  Hao Luo,et al.  How Well Can We Correct Systematic Errors in Historical XBT Data , 2018 .

[110]  Kevin E. Trenberth,et al.  Distinctive climate signals in reanalysis of global ocean heat content , 2013 .

[111]  E. Fetzer,et al.  The Observed State of the Water Cycle in the Early Twenty-First Century , 2015 .

[112]  Dean Roemmich,et al.  The 2004-2008 mean and annual cycle of temperature, salinity, and steric height in the global ocean from the Argo Program , 2009 .

[113]  On the Decadal Trend of Global Mean Sea Level and Its Implication on Ocean Heat Content Change , 2015, Front. Mar. Sci..

[114]  B. Dushaw Ocean Acoustic Tomography in the North Atlantic , 2019, Journal of Atmospheric and Oceanic Technology.

[115]  A. Cazenave,et al.  Sea level budget over 2005–2013: missing contributions and data errors , 2015 .

[116]  M. Ishii,et al.  Accuracy of Global Upper Ocean Heat Content Estimation Expected from Present Observational Data Sets , 2017 .

[117]  J. Harnmeijer,et al.  Evidence for reactive reduced phosphorus species in the early Archean ocean , 2013, Proceedings of the National Academy of Sciences.

[118]  T. Boyer,et al.  An inventory of Arctic Ocean data in the World Ocean Database , 2017 .

[119]  A. Cazenave,et al.  A New Estimation of Mean Sea Level in the Arctic Ocean from Satellite Altimetry , 2011 .

[120]  A. Cazenave,et al.  Exploring the uncertainty in GRACE estimates of the mass redistributions at the Earth surface: implications for the global water and sea level budgets , 2018, Geophysical Journal International.

[121]  John Abraham,et al.  Improved estimates of ocean heat content from 1960 to 2015 , 2017, Science Advances.

[122]  M. Taroudakis Ocean Acoustic Tomography , 2006 .

[123]  Lijing Cheng,et al.  Biases in Expendable Bathythermograph Data: A New View Based on Historical Side-by-Side Comparisons , 2013 .

[124]  Sergei Rudenko,et al.  Improved Sea Level record over the satellite altimetry era (1993-2010) from the Climate Change Initiative project , 2015 .

[125]  J. Willis,et al.  Interannual variability in upper ocean heat content, temperature, and thermosteric expansion on global scales , 2004 .

[126]  J. Toole,et al.  The Ice-Tethered Profiler : Argo of the Arctic , 2011 .

[127]  Norman G. Loeb,et al.  Improving estimates of Earth's energy imbalance , 2016 .

[128]  L. Eymard,et al.  Trend and Variability of the Atmospheric Water Vapor: A Mean Sea Level Issue , 2014 .

[129]  Andrew T. Wittenberg,et al.  Impacts on Ocean Heat from Transient Mesoscale Eddies in a Hierarchy of Climate Models , 2015 .

[130]  R. Allan,et al.  Evaluation of satellite and reanalysis‐based global net surface energy flux and uncertainty estimates , 2017, Journal of geophysical research. Atmospheres : JGR.

[131]  Norman G. Loeb,et al.  Changes in Earth’s Energy Budget during and after the “Pause” in Global Warming: An Observational Perspective , 2018, Climate.

[132]  V. Gouretski Using GEBCO digital bathymetry to infer depth biases in the XBT data , 2012 .

[133]  Tong Lee,et al.  The Ocean Reanalyses Intercomparison Project (ORA-IP) , 2015 .

[134]  F. LeMoine,et al.  A reassessment of global and regional mean sea level trends from TOPEX and Jason‐1 altimetry based on revised reference frame and orbits , 2007 .

[135]  James Hansen,et al.  An imperative to monitor Earth's energy imbalance , 2016 .

[136]  K. Trenberth,et al.  Investigation of the Residual in Column-Integrated Atmospheric Energy Balance Using Cloud Objects , 2016 .

[137]  C. Domingues,et al.  Ocean Reanalyses: Recent Advances and Unsolved Challenges , 2019, Front. Mar. Sci..

[138]  Raymond T. Pierrehumbert,et al.  Warming the world , 2004, Nature.

[139]  J. Blunden,et al.  State of the Climate in 2017 , 2018, Bulletin of the American Meteorological Society.

[140]  Clara Lázaro,et al.  Improved wet path delays for all ESA and reference altimetric missions , 2015 .

[141]  Makiko Sato,et al.  Earth's energy imbalance and implications , 2011, 1105.1140.

[142]  J. Willis,et al.  Future observations for monitoring global ocean heat content , 2010 .

[143]  K. Trenberth,et al.  Accuracy of Atmospheric Energy Budgets from Analyses , 2002 .

[144]  W. Munk,et al.  Ocean Acoustic Tomograpthy: Notation , 1995 .

[145]  S. Levitus,et al.  Warming of the World Ocean , 2000 .

[146]  Tong Lee,et al.  Ocean heat content variability and change in an ensemble of ocean reanalyses , 2017, Climate Dynamics.

[147]  A. Cazenave,et al.  Sea and land surface temperatures, ocean heat content, Earth's energy imbalance and net radiative forcing over the recent years , 2017 .

[148]  Rolf Reichle,et al.  Numerical Terradynamic Simulation Group 7-2018 Global Satellite Retrievals of the Near-Surface Atmospheric Vapor Pressure Deficit from AMSR-E and AMSR 2 , 2018 .

[149]  Gregory C. Johnson,et al.  Informing Deep Argo Array Design Using Argo and Full-Depth Hydrographic Section Data* , 2015 .

[150]  David R. Doelling,et al.  Surface Irradiances of Edition 4.0 Clouds and the Earth’s Radiant Energy System (CERES) Energy Balanced and Filled (EBAF) Data Product , 2018 .

[151]  Adam A. Scaife,et al.  Earth's energy imbalance since 1960 in observations and CMIP5 models , 2015, Geophysical research letters.

[152]  Nick Rayner,et al.  EN4: Quality controlled ocean temperature and salinity profiles and monthly objective analyses with uncertainty estimates , 2013 .

[153]  Zhong‐Kuo Zhao Internal tide oceanic tomography , 2016 .

[154]  Eric Rignot,et al.  Global sea-level budget 1993–present , 2018, Earth System Science Data.

[155]  M. Watkins,et al.  Quantifying and reducing leakage errors in the JPL RL05M GRACE mascon solution , 2016 .

[156]  C. Wunsch Global Ocean Integrals and Means, with Trend Implications. , 2016, Annual review of marine science.

[157]  Kevin E. Trenberth,et al.  Earth’s Energy Imbalance , 2014 .

[158]  Carl Wunsch,et al.  Bidecadal Thermal Changes in the Abyssal Ocean , 2014 .

[159]  M. Watkins,et al.  Improved methods for observing Earth's time variable mass distribution with GRACE using spherical cap mascons , 2015 .

[160]  A. Sterl,et al.  Fifteen years of ocean observations with the global Argo array , 2016 .

[161]  L. Cheng,et al.  Consensuses and discrepancies of basin-scale ocean heat content changes in different ocean analyses , 2018, Climate Dynamics.

[162]  Jiang Zhu,et al.  Artifacts in variations of ocean heat content induced by the observation system changes , 2014 .

[163]  Ryoko Nakamura,et al.  X-band interferometric SAR sensor for the Japanese altimetry mission, COMPIRA , 2012, 2013 IEEE International Geoscience and Remote Sensing Symposium - IGARSS.

[164]  David R. Doelling,et al.  Toward Optimal Closure of the Earth's Top-of-Atmosphere Radiation Budget , 2009 .

[165]  P. Worcester,et al.  Observing the Oceans Acoustically , 2019, Front. Mar. Sci..

[166]  S. Tett,et al.  Isolating the signal of ocean global warming , 2007 .

[167]  M. Kimoto,et al.  Reevaluation of historical ocean heat content variations with time-varying XBT and MBT depth bias corrections , 2009 .

[168]  Variations of the Global Net Air–Sea Heat Flux during the “Hiatus” Period (2001–10) , 2016 .

[169]  I. Fukumori,et al.  Steric sea level variability (1993–2010) in an ensemble of ocean reanalyses and objective analyses , 2017, Climate Dynamics.

[170]  M. Kimoto,et al.  Reevaluation of Historical Ocean Heat Content Variations 1 With Time-Varying XBT and MBT Depth Bias , 2008 .

[171]  Matt A. King,et al.  Unabated global mean sea-level rise over the satellite altimeter era , 2015 .

[172]  William L. Smith,et al.  A parameterization of ocean surface albedo , 2004 .