Tangent linear and adjoint biogeochemical models

Geophysical Monograph Series

Volumn 114, Issue , 1999, Pages 33-48

  Giering, Ralf ^a  

^a CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84988455275     PISSN: 00658448     EISSN: 23288779     Source Type: Book Series    
DOI: 10.1029/GM114p0033     Document Type: Chapter

References (50)

1. Bischof, C. H., A. Carle, G. F. Corliss, A. Griewank, and P. Hovland, ADIFOR: Generating derivative code from FORTRAN programs, Scientific Programming, 1, 11-29., 1992.
2. Courtier, P., J.-N. Thepaut, and A. Hollingsworth, A strategy for operational implementation of 4-DVAR using an incremental approach, Quarterly J. of the Royal Meteorological Society, 120, 1367-1387, 1994.
3. Errico, R., What is an Adjoint Model, Bull. Am. Met. Soc., 78, 2577-2591, 1997.
4. Errico, R. M., and T. Vukicevic, Sensitivity analysis using an adjoint of the PSU-NCAR mesoscale model, Monthly Weather Review, 120, 1644-1660, 1992.
5. Farrel, B., and P. Ioannou, Generalized stability theory. part i: Autonomous operators., J. of Atmospheric Science, 53, 2025-2040, 1996a.
6. Farrel, B., and P. Ioannou, Generalized stability theory. part ii: Nonautonomous operators., J. of Atmospheric Science, 53, 2041-2053, 1996b.
7. Follows, M., and J. Marshall, Modeling bomb-produced radiocarbon in the north atlantic, J. of Geophys. Res., 22, 577-582, 1996.
8. Follows, M., R. Williams, and J. Marshall, Subduction of carbon in the north atlantic subtropical gyre, J. of Marine Res. 54, 605-630 1996.
9. Gent, P., and J. C. McWilliams, Isopycnal mixing in ocean general circulation models, J. of Physical Oceanography, 20, 150-155, 1990.
10. Giering, R., and T. Kaminski, Recipes for Adjoint Code Construction, ACM Trans. On Math. Software, 24, 437-474, 1998a.
11. Giering, R., and T. Kaminski, Using TAMC to generate efficient adjoint code: Comparison of hand written and automatically generated code for evaluation of first and second derivatives., in Automatic differentiation for adjoint code generation, edited by C. Faure, pp. 31-37, INRJA, Rapport de recherche 3555, 1998b.
12. Griewank, A., On automatic differentiation, in Mathematical Programming: Recent Developments and Applications, edited by M. Iri and K. Tanabe, pp. 83-108, Kluwer Academic Publishers, Dordrecht, 1989.
13. Griewank, A., Achieving logarithmic growth of temporal and spatial complexity in reverse automatic differentiation, Optimization Methods and Software, 1, 35-54, 1992.
14. Griewank, A., Some bounds on the complexity of gradients, Jacobians, and Hessians, in Complexity in Nonlinear Optimization, edited by P. M. Pardalos, pp. 128-161, World Scientific Publishers, 1993.
15. Hall, M. C. G., D. G. Cacuci, and M. E. Schlesinger, Sensitivity analysis of a radiative-convective model by the adjoint method, J. Atmos. Sci., 39, 2038-2050, 1982.
16. Heimann, M., The global atmospheric tracer model TM2, Techmcal Report No. 10, Max-Planck-Institut fiir Meteorologie, Hamburg, Germany, 1995.
17. 2 at remote monitoring stations with respect to seasonal surface exchange fluxes determined with the adjoint of an atmospheric transport model, Physics and Chemistry of the Earth, 21, 457-462, 1996.
18. Kaminski, T., M. Heimann, and R. Giering, A coarse grid three-dimensional global inverse model of the atmospheric transport, 1, Adjoint model and Jacobian matrix, J. of Geophys. Res., 104, 18,535-18,553, 1999.
19. Kaminski, T., M. Heimann, and R. Giering, A coarse grid three-dimensional global inverse model of the atmospheric transport, 2, inversion of the transport of co2 in the 1980s, J. of Geophys. Res., 104, 18,555-18,581, 1999.
20. Langland, R., R. Elsberry, and R. Errico, Evaluation of physical process in an idealized extratropical cyclone using adjoint sensitivity, Quarterly J. of the Royal Meteorological Society, 121, 1349-1386, 1995.
21. Levitus, S., Interpentadal Variability of Temperature and Salinity at Intermediate Depths of the North Atlantic Ocean, J. of Geophys. Res., 94, 6091-6131, 1989.
22. Lewis, J., and J. Derber, The use of adjoint equations to solve a variational adjustment problem with advective constraints., Tellus, A, 309-322, 1985.
23. Long, R., and W. Thacker, Data assimilation into a numerical equatorial ocean model. Part I: The model and assimilation algorithm., Dynamics of Atmospheres and Oceans, 13, 379-412, 1989a.
24. Long, R., and W. Thacker, Data assimilation into a numerical equatorial ocean model. Part II: Assimilation experiments., Dynamics of Atmospheres and Oceans, 13, 413-440, 1989b.
25. Marotzke, J., Q. K. Zhang, R. Giering, D. Stammer, C. Hill, and T. Lee, The linearization and adjoint of the MIT ocean general circulation model, J. Geophys. Res., in press, 1999.
26. Marshall, J., A. Adcroft, C. Hill, L. Perelman, and C. Heisey, A finite-volume, incompressible Navier Stokes model for studies of the ocean on parallel computers, J. of Geophys. Res., C3, 5753-5766, 1997a.
27. Marshall, J., C. Hill, L. Perelman, and A. Adcroft, Hydrostatic, quasi-hydrostatic, and non-hydrostatic ocean modeling, J. of Geophys. Res., C3, 5733-5752, 1997b.
28. Navon, I., Practical and theoretical aspects of adjoint parameter estimation and identifiability in meteorology and oceanography, Dynamics of Atmospheres and Oceans, 1997, special Issue in honor of Richard Pfeffer.
29. Oldenborgh, G., G. Burgers, S. Venzke, C. Eckert, and R. Giering, Tracking down the delayed ENSO oscillator with an adjoint OGCM, 1999, monthly Weather Review, in press.
30. Rabier, F., P. Courtier, and O. Talagrand, An application of adjoint models to sensitivity analysis, Beitr. Phys. Atmos, 65, 177-192, 1992.
31. Russel, G. L., and J. A. Lerner, A new finite-differencing scheme for the tracer transport equation, J. Appl. Met., pp. 1483-1498, 1981.
32. Schröter, J., Driving of non-linear time dependent ocean models by observations of transient tracer-a problem of constrained optimization., in Ocean Circulation Models: Combining Data and Dynamics, edited by D. Anderson and J. Willebrand, pp. 257-285, Kluwer Academic Publishers, 1989.
33. Stammer, D., 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, Tech. Rep. 49, Center for Global Change Science, Massachusetts Institute of Technology, 1997.
34. Talagrand, O., The use of adjoint equations in numerical modeling of the atmospheric circulation, in Automatic Differentiation of Algorithms: Theory, Implementation, and Application, edited by A. Griewank and G. F. Corliss, pp. 169-180, SIAM, Philadelphia, Penn., 1991.
35. Thacker, W., Three lectures on fitting numerical models to observations., Tech. rep., GKSS Forschungszentrum Geesthacht GmbH, Geesthacht, Federal Republic of Germany, 1987.
36. Thacker, W., The role of the Hessian Matrix in fitting models to measurements, J. of Geophys. Res., 94, 6177-6196, 1989.
37. Thacker, W. C., Automatic differentiation from an oceanographer’s perspective, in Automatic Differentiation of Algorithms: Theory, Implementation, and Application, edited by A. Griewank and G. F. Corliss, pp. 191-201, SIAM, Philadelphia, Penn., 1991.
38. Thacker, W. C., and R. B. Long, Fitting dynamics to data, J. Geophys. Res., 93, 1227-1240, 1988.
39. Tiedtke, M., A comprehensive mass flux scheme for cumulus parameterization in large-scale models, Mon. Weath. Rev, 117, 1779-1800, 1989.
40. Tziperman, E., and W. Thacker, An optimal control/adjoint equation approach to studying the ocean general circulation, J. of Physical Oceanography, 19, 1471-1485, 1989.
41. Tziperman, E., W. Thacker, R. Long, and S.-M. Hwang, Ocean data analysis using a general circulation model, I, simulations, J. of Physical Oceanography, 22, 1434-1457, 1992a.
42. Tziperman, E., W. Thacker, R. Long, S.-M. Hwang, and S. Rintoul, Ocean data analysis using a general circulation model, II, North Atlantic model, J. of Physical Oceanography, 22, 1458-1485, 1992b.
43. Visbeck, M., J. Marshall, T. Haine, and M. Spall, Specification of eddy transfer coefficients in coarse-resolution ocean circulation, J. of Physical Oceanography, 27, 381-402, 1997.
44. Vukicevic, T., Optimal initial perturbations for two cases of extratropical cyclogenesis, Tellus Series A, 50, 143-166, 1998.
45. Webster, S., and B. Hopkins, Adjoints and singular vectors in a barotropic model, in Workshop on Adjoint Applicatwns in Dynamic Meteorology, 1994.
46. Williams, R., and M. Follows, Estimating new production over the north atlantic due to the climatological ekman supply of nutrients, Deep Sea Res., 45, 461-489, 1998.
47. Xu, Q., Generalized adjoint for physical processes with parameterized discontinuities: Part i: Basic issues and heuristic examples, J. Atmospheric Sciences, 53, 1123-1142, 1996a.
48. Xu, Q., Generalized adjoint for physical processes with parameterized discontinuities: Part ii: Vector formulations and matching conditions, J. Atmospheric Sciences, 53, 1143-1155, 1996b.
49. Zou, X., Tangent linear and adjoint of “on-off” processes and their feasibility for use in 4-dimensional variational assimilation, Tellus, 49A, 3-31, 1997.
50. Zou, X., I. Navon, A. Barcilon, J. Whittaker, and D. Cacuci, An adjoint sensitivity study of blocking in a two-layer isentropic model, Monthly Weather Review, 121, 2833-2857, 1993.