Forecasting Skill Limits of Nested, Limited-Area Models: A Perfect-Model Approach

Ramón de Elía Département des Sciences de la Terre et de l'Atmosphère, Université du Québec à Montréal, Montreal, Quebec, Canada

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René Laprise Département des Sciences de la Terre et de l'Atmosphère, Université du Québec à Montréal, Montreal, Quebec, Canada

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Bertrand Denis Recherche en Prévision Numérique, Meteorological Service of Canada, Dorval, Quebec, Canada

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Abstract

The fundamental hypothesis underlying the use of limited-area models (LAMs) is their ability to generate meaningful small-scale features from low-resolution information, provided as initial conditions and at their lateral boundaries by a model or by objective analyses. This hypothesis has never been seriously challenged in spite of some reservations expressed by the scientific community. In order to study this hypothesis, a perfect-model approach is followed. A high-resolution large-domain LAM driven by global analyses is used to generate a “reference run.” These fields are filtered afterward to remove small scales in order to mimic a low-resolution run. The same high-resolution LAM, but in a small-domain grid, is nested within these filtered fields and run for several days. Comparison of both runs over the same region allows for the estimation of the ability of the LAM to regenerate the removed small scales.

Results show that the small-domain LAM recreates the right amount of small-scale variability but is incapable of reproducing it with the precision required by a root-mean-square (rms) measure of error. Some success is attained, however, during the first hours of integration. This suggests that LAMs are not very efficient in accurately downscaling information, even in a perfect-model context. On the other hand, when the initial conditions used in the small-domain LAM include the small-scale features that are still absent in the lateral boundary conditions, results improve dramatically. This suggests that lack of high-resolution information in the boundary conditions has a small impact on the performance.

Results of this study also show that predictability timescales of different wavelengths exhibit a behavior similar to those of a global autonomous model.

Corresponding author address: Ramón de Elía, Département des Sciences de la Terre et de l'Atmosphère, Université du Québec à Montréal, B.P. 8888, Succ. Centre-ville, Montréal, QC H3C 3P8, Canada. Email: relia@sca.uqam.ca

Abstract

The fundamental hypothesis underlying the use of limited-area models (LAMs) is their ability to generate meaningful small-scale features from low-resolution information, provided as initial conditions and at their lateral boundaries by a model or by objective analyses. This hypothesis has never been seriously challenged in spite of some reservations expressed by the scientific community. In order to study this hypothesis, a perfect-model approach is followed. A high-resolution large-domain LAM driven by global analyses is used to generate a “reference run.” These fields are filtered afterward to remove small scales in order to mimic a low-resolution run. The same high-resolution LAM, but in a small-domain grid, is nested within these filtered fields and run for several days. Comparison of both runs over the same region allows for the estimation of the ability of the LAM to regenerate the removed small scales.

Results show that the small-domain LAM recreates the right amount of small-scale variability but is incapable of reproducing it with the precision required by a root-mean-square (rms) measure of error. Some success is attained, however, during the first hours of integration. This suggests that LAMs are not very efficient in accurately downscaling information, even in a perfect-model context. On the other hand, when the initial conditions used in the small-domain LAM include the small-scale features that are still absent in the lateral boundary conditions, results improve dramatically. This suggests that lack of high-resolution information in the boundary conditions has a small impact on the performance.

Results of this study also show that predictability timescales of different wavelengths exhibit a behavior similar to those of a global autonomous model.

Corresponding author address: Ramón de Elía, Département des Sciences de la Terre et de l'Atmosphère, Université du Québec à Montréal, B.P. 8888, Succ. Centre-ville, Montréal, QC H3C 3P8, Canada. Email: relia@sca.uqam.ca

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  • Anthes, R. A., Y. H. Kuo, D. P. Baumhefner, R. M. Errico, and T. W. Bettge, 1985: Predictability of mesoscale motions. Advances in Geophysics, Vol. 288, Academic Press, 159–202.

    • Search Google Scholar
    • Export Citation
  • Anthes, R. A., S. Low-Nam, and T. W. Bettge, 1989: Estimation of skill and uncertainty in regional numerical models. Quart. J. Roy. Meteor. Soc., 115 , 763806.

    • Search Google Scholar
    • Export Citation
  • Bergeron, G., R. Laprise, and D. Caya, 1994: Formulation of the Mesoscale Compressible Community (MC2) model. Cooperative Centre for Research in Mesometeorology Internal Rep., 165 pp. [Available from Dr. D. Caya, Groupe des Sciences de l'Atmosphère, Département des Sciences de la Terre et de l'Atmosphère, Université du Québec à Montréal, B.P. 8888, Succ. Centre-ville., Montréal, QC H3C 3P8, Canada.].

    • Search Google Scholar
    • Export Citation
  • Berri, G. J., and J. Paegle, 1990: Sensitivity of local predictions to initial conditions. J. Appl. Meteor., 29 , 256267.

  • Biner, S., D. Caya, R. Laprise, and L. Spacek, 2000: Nesting of RCMs by imposing large scales. Research Activities in Atmospheric and Oceanic Modeling, WMO Rep. 30, CAS/JSC Working Group on Numerical Experimentation (WGNE), WMO/TD-987, 7.3–7.4.

    • Search Google Scholar
    • Export Citation
  • Boer, G. J., 1994: Predictability regimes in atmospheric flow. Mon. Wea. Rev., 122 , 22852295.

  • Caya, D., and R. Laprise, 1999: A semi-implicit semi-Lagrangian regional climate model: The Canadian RCM. Mon. Wea. Rev., 127 , 341362.

    • Search Google Scholar
    • Export Citation
  • Davies, H. C., and R. E. Turner, 1977: Updating prediction models by dynamical relaxation: An examination of the technique. Quart. J. Roy. Meteor. Soc., 103 , 225245.

    • Search Google Scholar
    • Export Citation
  • Denis, B., R. Laprise, J. Côté, and D. Caya, 2001: Downscaling ability of one-way nested regional climate models: The big-brother experiment. Climate Dyn., 18 , 627646.

    • Search Google Scholar
    • Export Citation
  • Denis, B., J. Côté, and R. Laprise, 2002: Spectral decomposition of two-dimensional atmospheric fields on limited-area domains using the discrete cosine transform (DCT). Mon. Wea. Rev., 130 , 18121829.

    • Search Google Scholar
    • Export Citation
  • Errico, R., 1985: Spectra computed from a limited area grid. Mon. Wea. Rev., 113 , 15541562.

  • Errico, R., and D. Baumhefner, 1987: Predictability experiments using a high-resolution, limited-area model. Mon. Wea. Rev., 115 , 488504.

    • Search Google Scholar
    • Export Citation
  • Giorgi, F., and M. R. Marinucci, 1996: An investigation of the sensitivity of simulated precipitation to model resolution and its implications for climate studies. Mon. Wea. Rev., 124 , 148166.

    • Search Google Scholar
    • Export Citation
  • Giorgi, F., and L. Mearns, 1999: Introduction to special section: Regional climate modeling revisited. J. Geophys. Res., 104 , 63356352.

    • Search Google Scholar
    • Export Citation
  • Giorgi, F., and X. Bi, 2000: A study of internal variability of a regional climate model. J. Geophys. Res., 105 , 2950329521.

  • Giorgi, F., M. R. Marinucci, G. T. Bates, and G. De Canio, 1993: Development of a second generation regional climate model (REGCM2). Part II. Convective processes and assimilation of lateral boundary conditions. Mon. Wea. Rev., 121 , 28142832.

    • Search Google Scholar
    • Export Citation
  • Jones, R. G., J. M. Nurphy, and M. Noguer, 1995: Simulation of climate change over Europe using a nested regional climate model. I. Assesment of control climate, including sensitivity to location of boundary conditions. Quart. J. Roy. Meteor. Soc., 121 , 14131449.

    • Search Google Scholar
    • Export Citation
  • Kain, J. S., and J. M. Fristch, 1990: A one-dimensional entraining/detraining plume model and its application in convective parameterization. J. Atmos. Sci., 47 , 27842802.

    • Search Google Scholar
    • Export Citation
  • Laprise, R., D. Caya, G. Bergeron, and M. Giguère, 1997: The formulation of André Robert MC2 (Mesoscale Compressible Community) model. Atmos.–Ocean, 35 , (André Robert Memorial Volume),. 195220.

    • Search Google Scholar
    • Export Citation
  • Laprise, R., M. R. Varma, B. Denis, D. Caya, and I. Zawadzki, 2000: Predictability of a nested limited-area model. Mon. Wea. Rev., 128 , 41494154.

    • Search Google Scholar
    • Export Citation
  • Lorenz, E. N., 1969: The predictability of a flow which possesses many scales of motion. Tellus, 21 , 289307.

  • Paegle, J., Q. Yang, and M. Wang, 1997: Predictability in limited area and global models. Meteor. Atmos. Phys., 63 , 5369.

  • Robert, A., and E. Yakimiw, 1986: Identification and elimination of an inflow boundary computational solution in limited area model integrations. Atmos.–Ocean, 24 , 369385.

    • Search Google Scholar
    • Export Citation
  • Van Tuyl, A. H., and R. M. Errico, 1989: Scale interaction and predictability in a mesoscale model. Mon. Wea. Rev., 117 , 495517.

  • von Storch, H., H. Langerberg, and F. Feser, 2000: A spectral nudging technique for dynamical downscaling purposes. Mon. Wea. Rev., 128 , 36643673.

    • Search Google Scholar
    • Export Citation
  • Vukicevic, T., and J. Paegle, 1989: Influence of one-way interacting lateral boundary conditions upon predictability of flow in bounded numerical models. Mon. Wea. Rev., 117 , 340350.

    • Search Google Scholar
    • Export Citation
  • Vukicevic, T., and R. Errico, 1990: The influence of artificial and physical factors upon predictability estimates using a complex limited-area model. Mon. Wea. Rev., 118 , 14601482.

    • Search Google Scholar
    • Export Citation
  • Warner, T. T., L. E. Key, and A. M. Lario, 1989: Sensitivity of a mesoscale-model forecast skill to some initial-data characteristics, data density, data position, analysis procedure, and measurement error. Mon. Wea. Rev., 117 , 12811310.

    • Search Google Scholar
    • Export Citation
  • WGNE, 1999: Report of Fifteenth Session of the CAS/JSC Working Group on Numerical Experimentation. WGNE Rep. 14, Naval Research Laboratory, Monterey, CA, 29 pp.

    • Search Google Scholar
    • Export Citation
  • White, B. G., J. Paegle, W. J. Steerburgh, J. D. Worel, R. T. Swanson, L. K. Cook, D. J. Onton, and J. G. Myles, 1999: Short-term forecast validation of six models. Wea. Forecasting, 14 , 84108.

    • Search Google Scholar
    • Export Citation
  • Yakimiw, E., and A. Robert, 1990: Validation for a nested grid-point regional forecast model. Atmos.–Ocean, 28 , 466472.

  • Zeng, X., and R. A. Pielke, 1993: Error-growth dynamics and predictability of surface thermally induced atmospheric flow. J. Atmos. Sci., 50 , 28172844.

    • Search Google Scholar
    • Export Citation
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