Toward a midlatitude ocean frequency-wavenumber spectral density and trend determination

Journal of Physical Oceanography

Volumn 40, Issue 10, 2010, Pages 2264-2281

  Wunsch, Carl ^a  

^a MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

Oceanic; Spectral analysis; Trends; Waves

Indexed keywords

ALTIMETRIC DATA; ANALYTICAL FREQUENCIES; LOW FREQUENCY VARIABILITY; MIDLATITUDE OCEAN; MIDLATITUDES; OCEANIC; POWER-OF-TWO; SPATIAL AVERAGE; SPATIAL SCALE; SPECTRAL ANALYSIS; THEORETICAL EXPLANATION; TRENDS; VOLUME TRANSPORT; WAVE NUMBERS; ZONAL WAVENUMBER;

FOURIER ANALYSIS; SPECTRAL DENSITY; SPECTRUM ANALYZERS; WAVE PROPAGATION; WIND POWER;

SEA LEVEL;

OCEAN WAVE; SEA LEVEL; SPECTRAL ANALYSIS; VOLUME TRANSPORT; WAVE MODELING; WAVE PROPAGATION; WIND FORCING;

EID: 77958579077     PISSN: 00223670     EISSN: None     Source Type: Journal    
DOI: 10.1175/2010JPO4376.1     Document Type: Article

References (70)

1. Ablain, M., A. Cazenave, G. Valladeau, and S. Guinehut, 2009: A new assessment of the error budget of global mean sea level rate estimated by satellite altimetry over 1993-2008. Ocean Sci., 5, 193-201.
2. Arbic, B. K., and W. B. Owens, 2001: Climatic warming of Atlantic intermediate waters. J. Climate, 14, 4091-4108.
3. Bard, E., B. Hamelin, M. Arnold, L. Montaggioni, G. Cabioch, G. Faure, and F. Rougerie, 1996: Deglacial sea-level record from Tahiti corals and the timing of global meltwater discharge. Nature, 382, 241-244.
4. Beran, J., 1994: Statistics for Long Memory Processes. Chapman and Hall, 315 pp.
5. Bindoff, N. L., and Coauthors, 2007: Observations: Oceanic climate change and sea level. Climate Change 2007: The Physical Science Basis, S. Solomon et al., Eds., Cambridge University Press, 385-432.
6. Bryden, H. L., E. L. McDonagh, and B. A. King, 2003: Changes in ocean water mass properties: Oscillations or trends? Science, 300, 2086-2088.
7. Cazenave, A., and R. S. Nerem, 2004: Present-day sea level change: Observations and causes. Rev. Geophys., 42, RG3001, doi:10.1029/2003RG000139.
8. Charney, J. G., 1971: Geostrophic turbulence. J. Atmos. Sci., 28, 1087-1095.
9. Chelton, D. B., and M. G. Schlax, 1996: Global observations of oceanic Rossby waves. Science, 272, 234-238.
10. Chelton, D. B., R. A. DeSzoeke, M. G. Schlax, K. El Naggar, and N. Siwertz, 1998: Geographical variability of the first baroclinic Rossby radius of deformation. J. Phys. Oceanogr., 28, 433-460.
11. Chelton, D. B., M. G. Schlax, R. M. Samelson, and R. A. de Szoeke, 2007: Global observations of large oceanic eddies. Geophys. Res. Lett., 34, L15606, doi:10.1029/2007GL030812.
12. Colosi, J. A., and W. Munk, 2006: Tales of the venerable Honolulu tide gauge. J. Phys. Oceanogr., 36, 967-996.
13. Douglas, B. C., M. S.Kearney, and S.R. Leatherman, Eds., 2001: Sea Level Rise, History and Consequences. Academic Press, 228 pp.
14. Ferrari, R., and C. Wunsch, 2009: Ocean circulation kinetic energy: Reservoirs, sources, and sinks. Annu. Rev. Fluid Mech., 41, 253-282.
15. Ferrari, R., and C. Wunsch, 2010: The distribution of eddy kinetic and potential energies in the global ocean. Tellus, 62A, 92-108.
16. Frankignoul, C., P. Muller, and E. Zorita, 1997: A simple model of the decadal response of the ocean to stochastic wind forcing. J. Phys. Oceanogr., 27, 1533-1546.
17. Frankignoul, C., A. Czaja, and B. L'Heveder, 1998: Air-sea feedback in the North Atlantic and surface boundary conditions for ocean models. J. Climate, 11, 2310-2324.
18. Fu, L.-L., and G. R. Flierl, 1980: Non-linear energy and enstrophy transfers in a realistically stratified ocean. Dyn. Atmos. Oceans, 4, 219-246.
19. Fu, L.-L., and A. Cazenave, 2000: Satellite Altimetry and Earth Sciences: A Handbook of Techniques and Applications. Academic Press, 463 pp.
20. Garrett, C., and W. Munk, 1972: Space-time scales of internal waves. Geophys. Astrophys. Fluid Dyn., 3, 225-264.
21. Glazman, R. E., and P. B. Weichman, 2005: Meridional component of oceanic Rossby wave propagation. Dyn. Atmos. Oceans, 38, 173-193.
22. Hinze, J. O., 1975: Turbulence. 2nd ed. McGraw-Hill, 790 pp.
23. Huybers, P., and W. Curry, 2006: Links between annual, Milankovitch and continuum temperature variability. Nature, 441, 329-332.
24. Isachsen, P. E., J. H. LaCasce, and J. Pedlosky, 2007: Rossby wave instability and apparent phase speeds in large ocean basins. J. Phys. Oceanogr., 37, 1177-1191.
25. Isern-Fontanet, J., G. Lapeyre, P. Klein, B. Chapron, and M. W. Hecht, 2008: Three-dimensional reconstruction of oceanic mesoscale currents from surface information. J. Geophys. Res., 113, C09005, doi:10.1029/2007JC004692.
26. Johnson, G. C., S. Mecking, B. M. Sloyan, and S. E. Wijffels, 2007: Recent bottom water warming in the Pacific Ocean. J. Climate, 20, 5365-5375.
27. Joyce, T. M., R. S. Pickart, and R. C. Millard, 1999: Long-term hydrographic changes at 52 and 668W in the North Atlantic subtropical gyre & Caribbean. Deep-Sea Res. I, 46, 245-278.
28. Katz, E. J., 1975: Tow spectra from MODE. J. Geophys. Res., 80, 1163-1167.
29. Killworth, P. D., and J. R. Blundell, 2003a: Long extratropical planetary wave propagation in the presence of slowly varying mean flow and bottom topography. Part I: The local problem. J. Phys. Oceanogr., 33, 784-801.
30. Killworth, P. D., and J. R. Blundell, 2003b: Long extratropical planetary wave propagation in the presence of slowly varying mean flow and bottom topography. Part II: Ray propagation and comparison with observations. J. Phys. Oceanogr., 33, 802-821.
31. 1 trend filtering. SIAM Rev., 51, 339-360.
32. Kutzbach, J. E., 1978: Nature of climate and climatic variations. IEEE Trans. Geosci. Remote Sens., 16, 23-29.
33. LaCasce, J. H., and A. Mahadevan, 2006: Estimating subsurface horizontal and vertical velocities from sea-surface temperature. J. Mar. Res., 64, 695-721.
34. Le Traon, P. Y., F. Nadal, and N. Ducet, 1998: An improved mapping method of multisatellite altimeter data. J. Atmos. Oceanic Technol., 15, 522-534.
35. Longuet-Higgins, M. S., 1965: Planetary waves on a rotating sphere. II. Proc. Roy. Soc. London, 284A, 40-68.
36. Maharaj, A. M., P. Cipollini, N. J. Holbrook, P. D. Killworth, and J. R. Blundell, 2007: An evaluation of the classical and extended Rossby wave theories in explaining spectral estimates of the first few baroclinic modes in the South Pacific Ocean. Ocean Dyn., 57, 173-187.
37. Maximenko, N. A., O. V. Melnichenko, P. P. Niiler, and H. Sasaki, [2008:] Stationary mesoscale jet-like features in the ocean. Geophys. Res. Lett., 35, L08603, doi:10.1029/2008GL033267.
38. Mazloff, M. R., P. Heimbach, and C. Wunsch, 2010: An eddypermitting Southern Ocean state estimate. J. Phys. Oceanogr.,[40] 880-899.
39. McCoy, E. J., A. T. Walden, and D. B. Percival, 1998: Multitaper spectral estimation of power law processes. IEEE Trans. Signal Process., 46, 655-668.
40. Mitchell, J. M., 1976: Overview of variability and its causal mechanisms. Quat. Res., 6, 481-493.
41. Overland, J. E., D. B. Percival, and H. O. Mofjeld, 2006: Regime shifts and red noise in the North Pacific. Deep-Sea Res., 53, 582-588.
42. Peltier, W. R., and R. G. Fairbanks, 2006: Global glacial ice volume and Last Glacial Maximum duration from an extended Barbados sea level record. Quat. Sci. Rev., 25, 3322-3337.
43. Percival, D. B., and A. T. Walden, 1993: Spectral Analysis for Physical Applications: Multitaper and Conventional Univariate Techniques. Cambridge University Press, 583 pp.
44. Percival, D. B., and D. A. Rothrock, 2005: "Eyeballing" trends in climate time series: A cautionary note. J. Climate, 18, 886-891.
45. Philander, S.G. H., 1978: Forced oceanic waves. Rev. Geophys., 16, 15-46.
46. Polyakov, I. V., U. S. Bhatt, H. L. Simmons, D. Walsh, J. E. Walsh, and X. Zhang, 2005: Multidecadal variability of North Atlantic temperature and salinity during the twentieth century. J. Climate, 18, 4562-4581.
47. Rhines, P. B., 1977: The dynamics of unsteady currents. The Sea, E. D. Goldberg, Ed., Marine Chemistry, Vol. 6, 189-318.
48. Roemmich, D., and C. Wunsch, 1984: Apparent changes in the climatic state of the deep North Atlantic Ocean. Nature, 307, 447-450.
49. Scott, R. B., and B. K. Arbic, 2007: Spectral energy fluxes in geostrophic turbulence: Implications for ocean energetics. J. Phys. Oceanogr., 37, 673-688.
50. Smith, R. L., 1993: Long-range dependence and global warming. Statistics for the Environment, V. Barnett and K. F. Turkman, Eds., Wiley, 141-161.
51. Sturges, W., and B. G. Hong, 1995: Wind forcing of the Atlantic thermocline along 328Nat low frequencies. J. Phys. Oceanogr., 25, 1706-1715.
52. Sturges, W., and B. G. Hong, and A. J. Clarke, 1998: Decadal wind forcing of the NorthAtlantic subtropical gyre. J. Phys.Oceanogr., 28, 659-668.
53. Tailleux, R., and J. C. McWilliams, 2001: The effect of bottom pressure decoupling on the speed of extratropical, baroclinic Rossby waves. J. Phys. Oceanogr., 31, 1461-1476.
54. Tulloch, R., J. Marshall, and K. S. Smith, 2009: Interpretation of the propagation of surface altimetric observations in terms of planetary waves and geostrophic turbulence. J. Geophys. Res., 114, C02005, doi:10.1029/2008JC005055.
55. Tziperman, E., M. E. Raymo, P. Huybers, and C. Wunsch, 2006: Consequences of pacing the Pleistocene 100 kyr ice ages by nonlinear phase locking to Milankovitch forcing. Paleoceanography, 21, PA4206, doi:10.1029/2005PA001241.
56. Vallis, G., 2006: Atmospheric and Oceanic Fluid Dynamics. Cambridge University Press, 745 pp.
57. Vanmarcke, E., 1983: Random Fields Analysis and Synthesis. MIT Press, 382 pp.
58. Vinogradov, S. V., R. M. Ponte, P. Heimbach, and C. Wunsch, 2008: The mean seasonal cycle in sea level estimated from a data-constrained general circulation model. J. Geophys. Res., 113, C03032, doi:10.1029/2007JC004496.
59. Vyushin, D. I., and P. J. Kushner, 2009: Power-law and longmemory characteristics of the atmospheric general circulation. J. Climate, 22, 2890-2904.
60. Wöppelmann, G., N. Pouvreau, A. Coulomb, B. Simon, and P. L. Woodworth, 2008: Tide gauge datum continuity at Brest since 1711: France's longest sea-level record. Geophys. Res. Lett., 35, L22605, doi:10.1029/2008GL035783.
61. Wunsch, C., 1997: The vertical partition of oceanic horizontal kinetic energy. J. Phys. Oceanogr., 27, 1770-1794.
62. Wunsch, C., 1999: The interpretation of short climate records, with comments on the North Atlantic and Southern Oscillations. Bull. Amer. Meteor. Soc., 80, 245-255.
63. Wunsch, C., 2006: Discrete Inverse and State Estimation Problems: With Geophysical Fluid Applications. Cambridge University Press, 371 pp.
64. Wunsch, C., 2008: Mass and volume transport variability in an eddy-filled ocean. Nat. Geosci., 1, 165-168.
65. Wunsch, C., 2009: The oceanic variability spectrum and transport trends. Atmos.-Ocean, 47, 281-291.
66. Wunsch, C., and P. Heimbach, 2007: Practical global oceanic state estimation. Physica D, 230, 197-208.
67. Wunsch, C., and P. Heimbach, 2009: The global zonally integrated ocean circulation, 1992-2006: Seasonal and decadal variability. J. Phys. Oceanogr., 39, 351-368.
68. Wunsch, C., R. M. Ponte, and P. Heimbach, 2007: Decadal trends in sea level patterns: 1993-2004. J. Climate, 20, 5889-5911.
69. Zang, X. Y., and C. Wunsch, 1999: The observed dispersion relationship for North Pacific Rossby wave motions. J. Phys. Oceanogr., 29, 2183-2190.
70. Zang, X. Y., and C. Wunsch, 2001: Spectral description of low-frequency oceanic variability. J. Phys. Oceanogr., 31, 3073-3095.