An Empirical Parameterization of Subsurface Entrainment Temperature for Improved SST Anomaly Simulations in an Intermediate Ocean Model

Rong-Hua Zhang International Research Institute for Climate Prediction (IRI), The Earth Institute at Columbia University, Palisades, New York

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Richard Kleeman Courant Institute for Mathematical Studies, New York University, New York, New York

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Stephen E. Zebiak International Research Institute for Climate Prediction (IRI), The Earth Institute at Columbia University, Palisades, New York

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Noel Keenlyside Max-Planck-Institut für Meteorologie, Hamburg, Germany

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Stephane Raynaud Courant Institute for Mathematical Studies, New York University, New York, New York

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Abstract

An empirical model for the temperature of subsurface water entrained into the ocean mixed layer (Te) is presented and evaluated to improve sea surface temperature anomaly (SSTA) simulations in an intermediate ocean model (IOM) of the tropical Pacific. An inverse modeling approach is adopted to estimate Te from an SSTA equation using observed SST and simulated upper-ocean currents. A relationship between Te and sea surface height (SSH) anomalies is then obtained by utilizing a singular value decomposition (SVD) of their covariance. This empirical scheme is able to better parameterize Te anomalies than other local schemes and quite realistically depicts interannual variability of Te, including a nonlocal phase lag relation of Te variations relative to SSH anomalies over the central equatorial Pacific. An improved Te parameterization naturally leads to better depiction of the subsurface effect on SST variability by the mean upwelling of subsurface temperature anomalies. As a result, SSTA simulations are significantly improved in the equatorial Pacific; a comparison with other schemes indicates that systematic errors of the simulated SSTAs are significantly small—apparently due to the optimized empirical Teparameterization. Cross validation and comparisons with other model simulations are made to illustrate the robustness and effectiveness of the scheme. In particular it is demonstrated that the empirical Te model constructed from one historical period can be successfully used to improve SSTA simulations in another.

* Current affiliation: Earth System Science Interdisciplinary Center, University of Maryland, College Park, College Park, Maryland

Corresponding author address: Rong-Hua Zhang, ESSIC, Computer and Space Science Bldg., No. 224, University of Maryland, College Park, College Park, MD 20742. Email: rzhang@essic.umd.edu

Abstract

An empirical model for the temperature of subsurface water entrained into the ocean mixed layer (Te) is presented and evaluated to improve sea surface temperature anomaly (SSTA) simulations in an intermediate ocean model (IOM) of the tropical Pacific. An inverse modeling approach is adopted to estimate Te from an SSTA equation using observed SST and simulated upper-ocean currents. A relationship between Te and sea surface height (SSH) anomalies is then obtained by utilizing a singular value decomposition (SVD) of their covariance. This empirical scheme is able to better parameterize Te anomalies than other local schemes and quite realistically depicts interannual variability of Te, including a nonlocal phase lag relation of Te variations relative to SSH anomalies over the central equatorial Pacific. An improved Te parameterization naturally leads to better depiction of the subsurface effect on SST variability by the mean upwelling of subsurface temperature anomalies. As a result, SSTA simulations are significantly improved in the equatorial Pacific; a comparison with other schemes indicates that systematic errors of the simulated SSTAs are significantly small—apparently due to the optimized empirical Teparameterization. Cross validation and comparisons with other model simulations are made to illustrate the robustness and effectiveness of the scheme. In particular it is demonstrated that the empirical Te model constructed from one historical period can be successfully used to improve SSTA simulations in another.

* Current affiliation: Earth System Science Interdisciplinary Center, University of Maryland, College Park, College Park, Maryland

Corresponding author address: Rong-Hua Zhang, ESSIC, Computer and Space Science Bldg., No. 224, University of Maryland, College Park, College Park, MD 20742. Email: rzhang@essic.umd.edu

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  • Barnett, T. P., M. Latif, E. Kirk, and E. Roeckner, 1991: On ENSO physics. J. Climate, 4 , 487–515.

  • Barnett, T. P., M. Latif, N. Graham, M. Flugel, S. Pazan, and W. White, 1993: ENSO and ENSO-related predictability. Part I: Prediction of equatorial Pacific sea surface temperature with a hybrid coupled ocean–atmosphere model. J. Climate, 6 , 1545–1566.

    • Search Google Scholar
    • Export Citation
  • Barnston, A. G., M. H. Glantz, and Y. He, 1999: Predictive skill of statistical and dynamical climate models in SST forecasts during the 1997–98 El Niño episode and the 1998 La Niña onset. Bull. Amer. Meteor. Soc., 80 , 217–243.

    • Search Google Scholar
    • Export Citation
  • Bourassa, M. A., S. R. Smith, and J. J. O’Brien, 2001: A new FSU wind and flux climatology. Preprints,. 11th Conf. on Interactions of the Sea and Atmosphere, San Diego, CA, Amer. Meteor. Soc., CD-ROM, 103.

    • Search Google Scholar
    • Export Citation
  • Busalacchi, A. J., and J. J. O’Brien, 1980: The seasonal variability in a model of the tropical Pacific. J. Phys. Oceanogr., 10 , 1929–1951.

    • Search Google Scholar
    • Export Citation
  • Cane, M. A., and S. E. Zebiak, 1985: A theory for El Niño and Southern Ocillation. Science, 228 , 1084–1087.

  • Canuto, V. M., A. Howard, Y. Cheng, and M. S. Dubovikov, 2001: Ocean turbulence. Part I: One-point closure model-momentum and heat vertical diffusivities. J. Phys. Oceanogr., 31 , 1413–1426.

    • Search Google Scholar
    • Export Citation
  • Chang, P., L. Ji, and R. Saravanan, 2001: A hybrid coupled model study of tropical Atlantic variability. J. Climate, 14 , 361–390.

    • Search Google Scholar
    • Export Citation
  • Chen, D., L. M. Rothstein, and A. J. Busalacchi, 1994: A hybrid vertical mixing scheme and its application to tropical ocean models. J. Phys. Oceanogr., 24 , 2156–2179.

    • Search Google Scholar
    • Export Citation
  • Chen, D., S. E. Zebiak, A. J. Busalacchi, and M. A. Cane, 1995: An improved procedure for El Niño forecasting: Implications for predictability. Science, 269 , 1699–1702.

    • Search Google Scholar
    • Export Citation
  • Chen, D., M. A. Cane, S. E. Zebiak, R. Canizares, and A. Kaplan, 2000: Bias correction of an ocean–atmosphere coupled model. Geophys. Res. Lett., 27 , 2585–2588.

    • Search Google Scholar
    • Export Citation
  • Chen, D., M. A. Cane, A. Kaplan, S. E. Zebiak, and D. Huang, 2004: Predictability of El Niño over the past 148 years. Nature, 428 , 733–736.

    • Search Google Scholar
    • Export Citation
  • DeWitte, B., D. Gushchina, Y. duPenhoat, and S. Lakeev, 2002: On the importance of subsurface variability for ENSO simulation and prediction with intermediate coupled models of the tropical Pacific: A case study for the 1997–1998 El Niño. Geophys. Res. Lett., 29 .1666, doi:10.1029/2001GL014452.

    • Search Google Scholar
    • Export Citation
  • Goldenberg, S., and J. J. O’Brien, 1981: Time and space variability of the tropical Pacific wind stress. Mon. Wea. Rev., 109 , 1190–1207.

    • Search Google Scholar
    • Export Citation
  • Ji, M., D. W. Behringer, and A. Leetmaa, 1998: An improved coupled model for ENSO prediction and implications for ocean initialization. Part II: The coupled model. Mon. Wea. Rev., 126 , 1022–1034.

    • Search Google Scholar
    • Export Citation
  • Jin, F-F., and S-I. An, 1999: Thermocline and zonal adjective feedbacks within the equatorial ocean recharge oscillator model for ENSO. Geophys. Res. Lett., 26 , 2989–2992.

    • Search Google Scholar
    • Export Citation
  • Kalnay, E., and Coauthors, 1996: The NCEP/NCAR 40-Year Reanalysis Project. Bull. Amer. Meteor. Soc., 77 , 437–471.

  • Kang, I-S., and J-S. Kug, 2000: An El Niño prediction system using an intermediate ocean and a statistical atmosphere. Geophys. Res. Lett., 27 , 1167–1170.

    • Search Google Scholar
    • Export Citation
  • Keenlyside, N., 2001: Improved modeling of zonal currents and SST in the tropical Pacific. Ph.D. thesis, Monash University, 193 pp.

  • Keenlyside, N., and R. Kleeman, 2002: On the annual cycle of the zonal currents in the equatorial Pacific. J. Geophys. Res., 107 .3093, doi:10.1029/2000JC0007111.

    • Search Google Scholar
    • Export Citation
  • Kleeman, R., 1993: On the dependence of hindcast skill on ocean thermodynamics in a coupled ocean–atmosphere model. J. Climate, 6 , 2012–2033.

    • Search Google Scholar
    • Export Citation
  • Kleeman, R., R. Colman, N. Smith, and S. Power, 1996: A recent change in the mean state of the Pacific basin climate: Observational evidence and atmospheric and oceanic response. J. Geophys. Res., 101 , 20483–20499.

    • Search Google Scholar
    • Export Citation
  • Large, W. G., and P. R. Gent, 1999: Validation of vertical mixing in an equatorial ocean model using large eddy simulations and observations. J. Phys. Oceanogr., 29 , 449–464.

    • Search Google Scholar
    • Export Citation
  • Large, W. G., G. Danabasoglu, S. C. Doney, and J. C. McWilliams, 1997: Sensitivity to surface forcing and boundary layer mixing in a global ocean model: Annual mean climatology. J. Phys. Oceanogr., 27 , 2418–2447.

    • Search Google Scholar
    • Export Citation
  • Latif, M., and Coauthors, 1998: A review of the predictability and prediction of ENSO. J. Geophys. Res., 103 , 14375–14393.

  • Latif, M., and Coauthors, 2001: ENSIP: The El Niño Simulation Intercomparison Project. Climate Dyn., 18 , 255–276.

  • Levitus, S., 1982: Climatological Atlas of the World Ocean. NOAA Prof. Paper 13, 173 pp. and 17 microfiche.

  • McCreary, J. P., 1981: A linear stratified ocean model of the equatorial undercurrent. Philos. Trans. Roy. Soc. London, 298 , 603–635.

    • Search Google Scholar
    • Export Citation
  • McCreary, J. P., and D. L. T. Anderson, 1991: An overview of coupled ocean–atmosphere models of El Niño and the Southern Oscillation. J. Geophys. Res., 96 , 3125–3150.

    • Search Google Scholar
    • Export Citation
  • Miller, A. J., T. P. Barnett, and N. E. Graham, 1993: A comparison of some tropical ocean models: Hindcast skill and El Niño evolution. J. Phys. Oceanogr., 23 , 1567–1591.

    • Search Google Scholar
    • Export Citation
  • Murtugudde, R., R. Seager, and A. J. Busalacchi, 1996: Simulation of tropical oceans with an ocean GCM coupled to an atmospheric mixed layer model. J. Climate, 9 , 1795–1815.

    • Search Google Scholar
    • Export Citation
  • Neelin, J. D., and F-F. Jin, 1993: Modes of interannual tropical ocean–atmosphere interaction a united view. Part II: Analytical results in the weak-coupling limit. J. Atmos. Sci., 50 , 3504–3522.

    • Search Google Scholar
    • Export Citation
  • Neelin, J. D., and Coauthors, 1992: Tropical air–sea interactions in general circulation models. Climate Dyn., 7 , 73–104.

  • Pacanowski, R. C., and S. M. Griffies, 1998: MOM 3.0 manual. NOAA/Geophysical Fluid Dynamics Laboratory, 700 pp.

  • Perigaud, C., and B. DeWitte, 1996: El Niño–La Niña events simulated with Cane and Zebiak’s model and observed with satellite or in situ data. Part I: Model data comparison. J. Climate, 9 , 65–84.

    • Search Google Scholar
    • Export Citation
  • Reynolds, R. W., N. A. Rayner, T. M. Smith, D. C. Stokes, and W. Wang, 2002: An improved in situ and satellite SST analysis for climate. J. Climate, 15 , 1609–1625.

    • Search Google Scholar
    • Export Citation
  • Seager, R., M. Blumenthal, and Y. Kushinir, 1995: An advective atmospheric mixed layer model for ocean modeling purposes: Global simulation of surface heat fluxes. J. Climate, 8 , 1951–1964.

    • Search Google Scholar
    • Export Citation
  • Stockdale, T. N., A. J. Busalacchi, D. E. Harrison, and R. Seager, 1998: Oceanic modeling of ENSO. J. Geophys. Res., 103 , 14325–14355.

    • Search Google Scholar
    • Export Citation
  • Syu, H-H., J. D. Neelin, and D. Gutzler, 1995: Seasonal and interannual variability in a hybrid coupled GCM. J. Climate, 8 , 2121–2143.

    • Search Google Scholar
    • Export Citation
  • Wallcraft, A. J., A. B. Kara, H. E. Hurlburt, and P. A. Rochford, 2003: The NRL Layered Global Ocean Model (NLOM) with an embedded mixed layer submodel: Formulation and tuning. J. Atmos. Oceanic Technol., 20 , 1601–1615.

    • Search Google Scholar
    • Export Citation
  • Wang, W., and M. J. McPhaden, 2000: The surface-layer heat balance in the equatorial Pacific Ocean. Part II: Interannual variability. J. Phys. Oceanogr., 30 , 2989–3008.

    • Search Google Scholar
    • Export Citation
  • Zebiak, S. E., and M. A. Cane, 1987: A model El Niño/Southern Oscillation. Mon. Wea. Rev., 115 , 2262–2278.

  • Zhang, R-H., and S. Levitus, 1997: Interannual variability of the coupled tropical Pacific ocean–atmospheric system associated with the El Niño–Southern Oscillation. J. Climate, 10 , 1312–1330.

    • Search Google Scholar
    • Export Citation
  • Zhang, R-H., and S. E. Zebiak, 2002: Effect of penetrating momentum flux over the surface boundary/mixed layer in a z-coordinate OGCM of the tropical Pacific. J. Phys. Oceanogr., 32 , 3616–3637.

    • Search Google Scholar
    • Export Citation
  • Zhang, R-H., and S. E. Zebiak, 2003: Embedding a SST anomaly model into a z-coordinate oceanic GCM for producing El Niño Oscillation in the tropical Pacific Climate system. Geophys. Res. Lett., 30 .1176, doi:10.1029/2002GL015428.

    • Search Google Scholar
    • Export Citation
  • Zhang, R-H., T. Kagimoto, and S. E. Zebiak, 2001: Subduction of decadal North Pacific thermal anomalies in an ocean GCM. Geophys. Res. Lett., 28 , 2449–2452.

    • Search Google Scholar
    • Export Citation
  • Zhang, R-H., T. Kagimoto, S. E. Zebiak, R. Kleeman, and N. Keenlyside, 2003: A new intermediate coupled model for El Niño simulation and prediction. Geophys. Res. Lett., 30 .2012, doi:10.1029/2003GL018010.

    • Search Google Scholar
    • Export Citation
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