A formal analysis of the feedback concept in climate models. Part II: Tangent linear systems in GCMs

Journal of the Atmospheric Sciences

Volumn 71, Issue 9, 2014, Pages 3350-3375

  Lahellec, Alain ^a   Dufresne, Jean Louis ^a  

^a LABORATOIRE DE MÉTÉOROLOGIE DYNAMIQUE   (France)

Author keywords

Climate change; Feedback; Radiative forcing

Indexed keywords

ATMOSPHERIC RADIATION; CARBON DIOXIDE; CLIMATE CHANGE; FEEDBACK; LINEAR SYSTEMS; PERTURBATION TECHNIQUES; REGRESSION ANALYSIS;

CLIMATE ANALYSIS; COUPLED MODEL INTERCOMPARISON PROJECT; ITS APPLICATIONS; PERTURBATION ANALYSIS; PERTURBATION METHOD; RADIATIVE FORCINGS; REGRESSION METHOD; STRICT EQUIVALENCE;

CLIMATE MODELS;

CLIMATE CHANGE; CLIMATE FEEDBACK; CLIMATE MODELING; GENERAL CIRCULATION MODEL; RADIATIVE FORCING; SENSITIVITY ANALYSIS; WARMING;

EID: 84906751206     PISSN: 00224928     EISSN: 15200469     Source Type: Journal    
DOI: 10.1175/JAS-D-13-0334.1     Document Type: Article

References (45)

1. 2 forcing induces semi-direct effects with consequences for climate feedback interpretations. Geophys. Res. Lett., 35, L04802, doi:10.1029/2007GL032273.
2. Andrews, T., J. Gregory, M. Webb, and K. Taylor, 2012: Forcing, feedbacks and climate sensitivity in CMIP5 coupled atmosphere- ocean climate models. Geophys. Res. Lett., 39, L09712, doi:10.1029/2012GL051607.
3. Cacuci, D., 1981: Sensitivity theory for nonlinear system. I. Nonlinear functional analysis approach. J. Math. Phys., 22, 2794- 2802, doi:10.1063/1.525186.
4. Cacuci, D., and M.Hall, 1984: Efficient estimation of feedback effectswith application to climate models. J. Atmos. Sci., 41, 2063-2068, doi:10.1175/1520-0469(1984)041,2063:EEOFEW.2.0.CO;2.
5. Colman, R., and B. McAvaney, 2011: On tropospheric adjustment to forcing and climate feedbacks. Climate Dyn., 36, 1649-1658, doi:10.1007/s00382-011-1067-4.
6. Cubasch, U., and Coauthors, 2001: Projections of future climate change. Climate Change 2001: The Scientific Basis, J. T. Houghton et al., Eds., Cambridge University Press, 3-29.
7. Deardorff, J. W., 1974: Three-dimensional numerical study of turbulence in an entraining mixed layer. Bound.-Layer Meteor., 7, 199-226, doi:10.1007/BF00227913.
8. Dessler, A. E., 2010: A determination of the cloud feedback from climate variations over the past decade. Science, 330, 1523- 1527, doi:10.1126/science.1192546.
9. Dufresne, J.-L., and S. Bony, 2008: An assessment of the primary sources of spread of global warming estimates from coupled atmosphere-ocean models. J. Climate, 21, 5135-5144, doi:10.1175/2008JCLI2239.1.
10. Dufresne, J.-L., and Coauthors, 2013: Climate change projections using the IPSL-CM5 Earth System Model: From CMIP3 to CMIP5. Climate Dyn., 40, 2123-2165, doi:10.1007/s00382-012-1636-1.
11. Emanuel, K., 1991: A scheme for representing cumulus convection in large-scale models. J. Atmos. Sci., 48, 2313-2335, doi:10.1175/1520-0469(1991)048,2313:ASFRCC.2.0.CO;2.
12. Forster, P., and J. Gregory, 2006: The climate sensitivity and its components diagnosed from Earth Radiation Budget data. J. Climate, 19, 39-52, doi:10.1175/JCLI3611.1.
13. Forster, P., and K. Taylor, 2006: Climate forcing and climate sensitivities diagnosed from coupled climate model integrations. J. Climate, 19, 6181-6194, doi:10.1175/JCLI3974.1.
14. Geoffroy, O., D. Saint-Martin, D. Olivié, A. Voldoire, G. Bellon, and S. Tytéca, 2013: Transient climate response in a two-layer energy-balance model. Part I: Analytical solution and parameter calibration using CMIP5 AOGCM experiments. J. Climate, 26, 1841-1857, doi:10.1175/JCLI-D-12-00195.1.
15. Giering, R., T. Kaminski, R. Todling, and S.-J. Lin, 2003: Generating the tangent linear and adjoint models of the DAO finite volume GCM's dynamical core by means of TAF. Geophysical Research Abstracts, Vol. 5, Abstract 11680. [Available online at http:// www.cosis.net/abstracts/EAE03/11680/EAE03-J-11680.pdf.]
16. Good, P., J. Gregory, and J. Lowe, 2011: A step-response simple climatemodel to reconstruct and interpretAOGCMprojections. Geophys. Res. Lett., 38, L01703, doi:10.1029/2010GL045208.
17. Gregory, J., 2000: Vertical heat transports in the ocean and their effect on time-dependent climate change. Climate Dyn., 16, 501-515, doi:10.1007/s003820000059.
18. 2 of the Hadley Centre coupled AOGCM with and without flux adjustment. Geophys. Res. Lett., 24, 1943-1946, doi:10.1029/ 97GL01930.
19. Gregory, J., and P. Forster, 2008: Transient climate response estimated from radiative forcing and observed temperature change. J. Geophys. Res., 113, D23105, doi:10.1029/2008JD010405.
20. 2 forcing. J. Climate, 21, 58-71, doi:10.1175/ 2007JCLI1834.1.
21. Gregory, J., and Coauthors, 2004: A new method for diagnosing radiative forcing and climate sensitivity. Geophys. Res. Lett., 31, L03205, doi:10.1029/2003GL018747.
22. Hall, A., 2004: The role of surface albedo feedback in climate. J. Climate, 17, 1550-1568, doi:10.1175/1520-0442(2004)017,1550: TROSAF.2.0.CO;2.
23. Hall, A., and S. Manabe, 1999: The role of water vapor feedback in unperturbed climate variability and global warming. J. Climate, 12, 2327-2346, doi:10.1175/1520-0442(1999)012,2327: TROWVF.2.0.CO;2.
24. Hallegatte, S., A. Lahellec, and J.-Y. Grandpeix, 2006: An elicitation of the dynamic nature of water vapor feedback in climate change using a 1D model. J. Atmos. Sci., 63, 1878-1894, doi:10.1175/JAS3725.1.
25. Hansen, J., A.Lacis,D.Rind,G.Russell,P.Stone, I.Fung,R.Ruedy, and J. Lerner, 1984: Climate sensitivity: Analysis of feedback mechanisms. Climate Processes and Climate Sensitivity. Geophys. Monogr., Vol. 29, Amer. Geophys. Union, 130-162.
26. Hansen, J., M. Sato, and R. Ruedy, 1997: Radiative forcing and climate response. J. Geophys. Res., 102, 6831-6864, doi:10.1029/ 96JD03436.
27. Hansen, J., and Coauthors, 2005: Efficacy of climate forcings. J. Geophys. Res., 110, D18104, doi:10.1029/2005JD005776.
28. Hourdin, F., and Coauthors, 2006: The LMDZ4 general circulation model: Climate performance and sensitivity to parametrized physics with emphasis on tropical convection. Climate Dyn., 27, 787-813, doi:10.1007/s00382-006-0158-0.
29. Hourdin, F., and Coauthors, 2013: LMDZ5B: The atmospheric component of the IPSL climate model with revisited parameterizations for clouds and convection. Climate Dyn., 40, 2193-2222, doi:10.1007/s00382-012-1343-y.
30. Jarvis, A., and S. Li, 2011: The contribution of timescales to the temperature response of climate models. Climate Dyn., 36, 523-531, doi:10.1007/s00382-010-0753-y.
31. Lahellec, A., and J.-L. Dufresne, 2013: A formal analysis of the feedback concept in climate models. Part I: Exclusive and inclusive feedback analyses. J. Atmos. Sci., 70, 3940-3958, doi:10.1175/JAS-D-12-0218.1.
32. Lahellec, A., S. Hallegatte, J.-Y. Grandpeix, P. Dumas, and S. Blanco, 2008: Feedback characteristics of nonlinear dynamical systems. Europhys. Lett., 81, 60001, doi:10.1209/0295-5075/ 81/60001.
33. Le Treut, H., Z. Li, andM. Forichon, 1994: Sensitivity of the LMD general circulation model to greenhouse forcing associated with two different cloud water parameterizations. J. Climate, 7, 1827-1841, doi:10.1175/1520-0442(1994)007,1827: SOTLGC.2.0.CO;2.
34. Li, C., J.-S. von Storch, and J. Marotzke, 2013: Deep-ocean heat uptake and equilibrium climate response. Climate Dyn., 40, 1071-1086, doi:10.1007/s00382-012-1350-z.
35. Lindzen, R. S., and Y.-S. Choi, 2009: On the determination of climate feedbacks from ERBE data. Geophys. Res. Lett., 36, L16705, doi:10.1029/2009GL039628.
36. Lu, J., and M. Cai, 2009: A new framework for isolating individual feedback processes in coupled general circulation climate models. Part I: Formulation. Climate Dyn., 32, 873-885, doi:10.1007/s00382-008-0425-3.
37. Lu, J., and M. Cai, 2010: Quantifying contributions to polar warming amplification in an idealized coupled general circulationmodel. Climate Dyn., 34, 669-687, doi:10.1007/s00382-009-0673-x.
38. Meehl, G., J. Arblaster, J. Fasullo, A. Hu, and K. Trenberth, 2011: Model-based evidence of deep-ocean heat uptake during surface-temperature hiatus periods. Nat. Climate Change, 1, 360-364, doi:10.1038/nclimate1229.
39. Raper, S. C. B., J. M. Gregory, and R. J. Stouffer, 2002: The role of climate sensitivity and ocean heat uptake on AOGCM transient temperature response. J. Climate, 15, 124-130, doi:10.1175/1520-0442(2002)015,0124:TROCSA.2.0.CO;2.
40. Raymond, D. J., and M. J. Herman, 2011: Convective quasiequilibrium reconsidered. J. Adv. Model. Earth Syst., 3, M08003, doi:10.1029/2011MS000079.
41. Rochetin,N., J.-Y.Grandpeix, C. Rio, and F. Couvreux, 2014:Deep convection triggering by boundary layer thermals. Part II: Stochastic triggering parameterization for the LMDZ GCM. J. Atmos. Sci., 71, 515-538, doi:10.1175/JAS-D-12-0337.1.
42. Stocker, T. F., and Coauthors, 2014: Climate Change 2013: The Physical Science Basis. Cambridge University Press, 1535 pp. [Available online at http://www.climatechange2013.org/ images/report/WG1AR5_ALL_FINAL.pdf.]
43. Taylor, P., M. Cai, A. Hu, J. Meehl, W. Washington, and G. Zhang, 2013: A decomposition of feedback contributions to polar warming amplification. J. Climate, 26, 7023-7043, doi:10.1175/ JCLI-D-12-00696.1.
44. Wetherald, R., and S. Manabe, 1988: Cloud feedback processes in a general circulation model. J. Atmos. Sci., 45, 1397-1416, doi:10.1175/1520-0469(1988)045,1397:CFPIAG.2.0.CO;2.
45. 2 on global mean temperature. Nature, 315, 649-652, doi:10.1038/315649a0.