Publications on Automatic Differentiation of Ocean Models

T. Kaminski, L. Axell, K. Christensen, J. Debenard, R. Gerdes, R. Giering, P. E. Isachsen, P. Kallberg, M. Karcher, F. Kauker, H. Schyberg, A. K. Sperrevik, F. T. Tveter, and M. Voßbeck. Enhancement of observational data sets by data assimilation and analysis. Poster Presentation at DAMOCLES Symposium, Bruessels, November 2009.
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F. Kauker, T. Kaminski, M. Karcher, R. Giering, R. Gerdes, and M. Voßbeck. Adjoint analysis of the 2007 all time arctic sea-ice minimum. Geophysical Research Letters, 2009.
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T. Kaminski, J. Albretsen, L. Axell, I. Burud, J. Debenard, R. Gerdes, R. Giering, P. Kallberg, M. Karcher, F. Kauker H. Schyberg, F. T. Tveter, , and M. Voßbeck. Enhancement of observational data sets by data assimilation and analysis. Poster Presentation at DAMOCLES General Assembly, Sopot, Poland, November 2008.
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L. Zanna, P. Heimbach, A.M. Moore, and E. Tziperman. Optimal growth of tropical atlantic sst anomalies. submitted to Journal Of Physical Oceanography, 2008.
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F. Kauker, T. Kaminski, M. Karcher, R. Giering, R. Gerdes, and M. Voßbeck. Adjoint analysis of the summer 2007 low in arctic sea-ice area. Geophysical Research Abstracts, 10, 2008.
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N. Sugiura, T. Awaji, S. Masuda, T. Mochizuki, T. Toyoda, T. Miyama, H. Igarashi, and Y. Ishikawa. Development of a four-dimensional variational coupled data assimilation system for enhanced analysis and prediction of seasonal to interannual climate variations. J. Geophys. Res., 113, 2008.
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A. Köhl, D. Stammer, and B. Cornuelle. Interannual to Decadal Changes in the ECCO Global Synthesis. J. Phys. Oceanogr., 37(2):313-337, 2007.
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M. Losch and P. Heimbach. Adjoint Sensitivity of an Ocean General Circulation Model to Bottom Topography. Journal Of Physical Oceanography, 37(2):377-393, 2007.
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C. Wunsch and P. Heimbach. Practical global ocean state estimation. Physica D., 230(1-2):197-208, 2007.

D. J. Lea, T. W. N. Haine, and R. E. Gasparovic. Observability of the Irminger Sea circulation using variational data assimilation. Quarterly Journal Of The Royal Meteorological Society, 132(618, Part A):1545-1576, 2006.
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V. Bugnion, C. Hill, and P. Stone. An Adjoint Analysis of the Meridional Overturning Circulation in an Ocean Model. J. Climate, 19(15):3732-3750, 2006.
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V. Bugnion, C. Hill, and P. Stone. An Adjoint Analysis of the Meridional Overturning Circulation in a Hybrid Coupled Model. J. Climate, 19(15):3751-3767, 2006.
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I. Hoteit and A. Köhl. Efficiency of reduced-order, time-dependent adjoint data assimilation approaches. Journal Of Oceanography, 62(4):539-550, 2006.
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P. Heimbach G. Gebbie and C. Wunsch. Strategies for nested and eddy-resolving state estimation. J. Geophys. Res., 111(C10073), 2006.
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P. Heimbach and C. Hill and R. Giering. An efficient exact adjoint of the parallel MIT general circulation model, generated via automatic differentiation. Future Generation Computer Systems, 21(8):1356-1371, 2005.
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I. Hoteit, B. Cornuelle, A. Köhl, and D. Stammer. Treating strong adjoint sensitivities in tropical eddy-permitting variational data assimilation. Quarterly Journal Of The Royal Meteorological Society, 131(613):3659-3682, 2005.
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A. Köhl. Anomalies of meridional overturning: Mechanisms in the north atlantic. Journal Of Physical Oceanography, 35(8):1455-1472, 2005.
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D. Ferreira, J. Marshall, and P. Heimbach. Estimating eddy stresses by fitting dynamics to observations using a residual-mean ocean circulation model and its adjoint. Journal Of Physical Oceanography, 35(10):1891-1910, 2005.
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A. Köhl and D. Stammer. Optimal observations for variational data assimilation. J. Phys. Oceanogr., 34(3):529-542, 2004.
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X.W. Li and C. Wunsch. An Adjoint Sensitivity Study Of Chlorofluorocarbons In The North Atlantic. Journal Of Geophysical Research-Oceans, 109(C1), 2004.
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D. Stammer, K. Ueyoshi, A. Köhl, W.G. Large, S.A. Josey, and C. Wunsch. Estimating air-sea fluxes of heat, freshwater, and momentum through global ocean data assimilation. J. Geophys. Res., 109(C05023), 2004.
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M. Losch and J. Schröter. Estimating the circulation from hydrography and satellite altimetry in the southern ocean: Limitations imposed by the current geoid models. Deep-Sea Research Part I-Oceanographic Research Papers, 51(9):1131-1143, 2004.

E. Galanti and E. Tziperman. A midlatitude-enso teleconnection mechanism via baroclinically unstable long rossby waves. Journal Of Physical Oceanography, 33(9):1877-1888, 2003.
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The group first used TAMC and then switched to TAF

B. Ferron and J. Marotzke. Impact of 4D-variational assimilation of WOCE hydrography on the meridional circulation of the Indian Ocean. Deep-Sea Res., 50(12-13):2005-2021, 2003.
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TAMC is used to generate the model's adjoint and Hessian code

V. Bugnion, C. Hill, and P. Stone. Adjoint analysis of merdional overturning sensitivity to wind stress forcing. In Proceedings of 13th Conference on Atmospheric and Oceanic Fluid Dynamics. American Meteorological Society, 2003.
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A. Köhl and J. Willebrand. Variational assimilation of SSH variability from TOPEX/POSEIDON and ERS1 into an eddy-permitting model of the North Atlantic. J. Geophys. Res., 108(C3):doi:10.1029/2001JC000982, 2003.
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M. Losch and C. Wunsch. Bottom topography as a control parameter in an ocean circulation model. Journal Of Atmospheric And Oceanic Technology, 20(11):1685-1696, 2003.
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B.Y. Huang, P.H. Stone, and C. Hill. Sensitivities of deep-ocean heat uptake and heat content to surface fluxes and subgrid-scale parameters in an ocean general circulation model with idealized geometry. J. Geophys. Res.-Oceans, 108(C1):art. no.-3015, 2003.
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B.Y. Huang, P.H. Stone, A.P. Sokolov, and I.V. Kamenkovich. The deep-ocean heat uptake in transient climate change. J. Clim., 16(9):1352-1363, 2003.
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X. Li and C. Wunsch. Constraining the north atlantic circulation with transient tracer observations. Journal Of Geophysical Research-Oceans, 108(C10), 2003.

X.W. Li and C. Wunsch. Constraining the north atlantic circulation between 4.5 degrees s and 39.5 degrees n with transient tracer observations. Journal Of Geophysical Research-Oceans, 108(C10), 2003.

S. Masuda, T. Awaji, N. Sugiura, Y. Ishikawa, K. Baba, K. Horiuchi, and N. Komori. Improved estimates of the dynamical state of the north pacific ocean from a 4 dimensional variational data assimilation. Geophysical Research Letters, 30(16), 2003.
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T. Lee and I. Fukumori. Interannual-To-Decadal Variations Of Tropical-Subtropical Exchange In The Pacific Ocean: Boundary Versus Interior Pycnocline Transports. J. Climate, 16(24):4022-4042, 2003.
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E. Galanti, E. Tziperman, M. Harrison, A. Rosati, R. Giering, and Z. Sirkes. The equatorial thermocline outcropping - a seasonal control on the tropical pacific ocean-atmosphere instability. J. Climate, 15(19):2721-2739, 2002.
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The paper uses the adjoint of the ocean general circulation model MOM3, also known as the Bryan-Cox model or GFDL model. The group first used TAMC and then switched to TAF

P. Heimbach, C. Hill, and R. Giering. Automatic generation of efficient adjoint code for a parallel Navier-Stokes solver. In P. M. A. Sloot, C. J. K. Tan, J. J. Dongarra, and A. G. Hoekstra, editors, Computational Science - ICCS 2002, Proceedings of the International Conference on Computational Science, Amsterdam, The Netherlands, April 21-24, 2002. Part II, volume 2330 of Lecture Notes in Computer Science, pages 1019-1028, Berlin, 2002. Springer.
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M. Losch, R. Redler, and J. Schröter. Estimating a Mean Ocean State from Hydrography and Sea-Surface Height Data with a Nonlinear Inverse Section Model: Twin Experiments with a Synthetic Dataset. J. Phys. Oceanogr., 32(7):2096-2112, 2002.
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D. J. Lea, M. R. Allen, T. W. N. Haine, and J. Hansen. Sensitivity analysis of the climate of a chaotic ocean circulation model. Q. J. R. Meteorol. Soc., 128(586):2587-2605, 2002.
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J. Schröter, M. Losch, and Bernadette Sloyan. Impact of the gravity field and steady-state ocean circulation explorer (goce) mission on ocean circulation estimates. volume and heat transports across hydrographic sections. J. Geophys. Res., 107(C2), 2002.

D. Stammer, C. Wunsch, R. Giering, C. Eckert, P. Heimbach, J. Marotzke, A. Adcroft, C. N. Hill, and J. Marshall. The global ocean circulation during 1992-1997, estimated from ocean observations and a general circulation model. J. Geophys. Res., 107(C9):doi:10.1029/2001JC000888, 2002.
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D. Stammer, C. Wunsch, R. Giering, C. Eckert, P. Heimbach, J. Marotzke, A. Adcroft, C. N. Hill, and J. Marshall. Volume, heat and freshwater transports of the global ocean circulation 1992-1997, estimated from a general circulation model constrained by WOCE data. J. Geophys. Res., page doi:10.1029/2001JC001115, 2002.
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D. Stammer, C. Wunsch I Fukumori, and J. Marshall. State Estimation in Modern Oceanographic Research. EOS, Transactions, 83(27):289 & 294-295, 2002.

A. Adcroft, J.-M. Campin, P. Heimbach, C. Hill, and J. Marshall. The MITgcm. Online documentation, Massachusetts Institute of Technology, USA, 2002.
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The manual of the MITgcm contains a chapter on Automatic Differentiation of the model. The ECCO consortium applied TAMC first and has now switched to TAF.

P. Heimbach, C. Hill, and R. Giering. Automatic Generation of Efficient Adjoint Code for the Parallel MIT General Circulation Model. In RIST/NCAR International Workshop on Next Generation Climate Models for Advanced High Performance Computing Facilities. National Center for Atmospheric Research (NCAR), Boulder, March 12th to 14th, 2002.
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T. Lee, B. Cheng, and R. Giering. Adjoint sensitivity of Indonesian throughflow transport to wind stress: application to interannual variability. Technical Report 11, The ECCO Consortium, 2001.
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M. M. Junge and T.W.N. Haine. Mechanisms of North Atlantic wintertime Sea Surface Temperature Anomalies. J. Climate, 14:4560-4572, 2001.
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R. Blinken and K.R. Koch. Geoid and sea surface topography derived from ers-1 altimeter data by the adjoint method. Stud. Geophys. Geod., 45(3):235-250, 2001.
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T. Lee, J.-P. Boulanger, A. Foo, L.-L. Fu, and R. Giering. Data assimilation into an intermediate coupled ocean-atmosphere model: application to the 1997-98 El Nino. J. Geophys. Res., 105(C11):26,063-26,088, 2000.

D. Stammer. Climate Applications of Oceanographic Satellite Observations. In Proceedings of SAF Training Workshop - Climate Monitoring, Dresden, Germany, 2000, 2000.
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D. Stammer. Ocean state estimation in support of CLIVAR and GODAE. CLIVAR Exchanges Newsletter, 5(3), 2000.
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G. J. van Oldenborgh. What caused the onset of the 1997/98 El Ni. Mon. Wea. Rev., 128(7):2601-2607, 2000.
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A. Köhl and J. Willebrand. Variational assimilation of SSH variance from TOPEX/POSEIDON and ERS1 into an eddy-permitting model of the North Atlantic. CLIVAR Exchanges Newsletter, 5(3), 2000.
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A. Köhl and J. Willebrand. An adjoint method for the assimilation of statistical characteristics into eddy-resolving ocean models. Tellus, 54A:406-425, 2000.

J. Marotzke, R. Giering, Q. K. Zhang, D. Stammer, C. N. Hill, and T. Lee. Construction of the adjoint MIT ocean general circulation model and application to Atlantic heat transport sensitivity. J. Geophys. Res., 104:29,529 - 29,548, 1999.
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G.J. van Oldenborgh, G. Burgers, S. Venzke, C. Eckert, and R. Giering. Tracking down the delayed ENSO oscillator with an adjoint OGCM. Mon. Wea. Rev., 127:1477-1495, 1999.
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M. Follows, D. Stammer, and C. Wunsch. Ventilation of CFC-11 in a global ocean circulation model constrained by WOCE data. International WOCE Newsletter, (35):3-5, 1999.
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H. Hersbach. Application of the adjoint of the WAM model to inverse wave modeling. J. Geophys. Res., 103(C5):10,469-10,487, 1998.

C. Eckert. On Predictability Limits of ENSO - A Study Performed with a Simplified Model of the Tropical Pacific Ocean-Atmosphere System. PhD thesis, Max-Planck-Institut für Meteorologie, Hamburg, Germany, 1998.

D. Müller, R. Giering, U. Mikolajewicz, and E. Maier-Reimer. Cyclostationary circulation estimation with a global ocean assimilation system. Scientific Report 279, Max-Planck-Institut für Meteorologie, Hamburg, Germany, 1998.
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D. Stammer, C. Wunsch, R. Giering, Q. Zhang, J. Marotzke, J. Marshall, and C. Hill. The Global Ocean Circulation estimated from TOPEX/POSEIDON Altimetry and a General Circulation Model. Technical Report 49, Center for Global Change Science, Massachusetts Institute of Technology, 1997.

H. Hersbach. The adjoint of the WAM model. Scientific Report WR 97-01, KNMI, 1997.

C. Eckert and M. Latif. Predictability of a Stochastically Forced Hybrid Coupled Model of El Niño. J. Climate, pages 1488-1504, 1997.
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G. Burgers, R. Giering, and M. Fischer. Construction of the adjoint of the HOPE OGCM. Annales Geophysicae, 390(C14), 1996.

R. Giering. Erstellung eines adjungierten Modells zur Assimilierung von Daten in ein Modell der globalen ozeanischen Zirkulation. Examensarbeit, Max-Planck-Institut für Meteorologie, Hamburg, Germany, 1996.

K. Hasselmann and R. Giering. Impact of geoid on ocean circulation retrieval, 1996. ESA report.

R. Giering. Assimilation von Satellitendaten in ein dreidimensionales numerisches Modell der atlantischen Zirkulation. Diplomarbeit, Universität Hamburg, Germany, 1989.