Editorial Type:
Article
Article Type:
Research Article

Inverse Parameter Estimation of the Turbulent Surface Layer from Single-Level Data and Surface Temperature

P. Martano CNR–Istituto di Scienze dell’Atmosfera e del Clima, Lecce, Italy

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Print Publication:
01 Apr 2008
DOI:
https://doi.org/10.1175/2007JAMC1608.1
Page(s):
1027–1037
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Abstract

A simple inverse parameter estimation method is used in a practical diagnostic approach to obtain the surface roughness lengths and surface resistance parameters from a chi-square cost function containing measurements of wind speed and air surface temperature differences in the atmospheric surface layer. The estimated parameters allow the calculation of the turbulent fluxes of momentum and heat and the surface-layer profiles of wind speed temperature and humidity from single-level data of wind speed and variance, air temperature and humidity, surface temperature, and total heat flux (sum of sensible and latent fluxes, estimated as net radiation minus soil heat flux). The procedure, which is potentially applicable when fast response data are not available without the necessity of external parameters (with the exception of the displacement height), is tested over a field dataset in southern Italy.

Corresponding author address: P. Martano, CNR–ISAC, Via Monteroni, 73100 Lecce, Italy. Email: p.martano@isac.cnr.it

Abstract

A simple inverse parameter estimation method is used in a practical diagnostic approach to obtain the surface roughness lengths and surface resistance parameters from a chi-square cost function containing measurements of wind speed and air surface temperature differences in the atmospheric surface layer. The estimated parameters allow the calculation of the turbulent fluxes of momentum and heat and the surface-layer profiles of wind speed temperature and humidity from single-level data of wind speed and variance, air temperature and humidity, surface temperature, and total heat flux (sum of sensible and latent fluxes, estimated as net radiation minus soil heat flux). The procedure, which is potentially applicable when fast response data are not available without the necessity of external parameters (with the exception of the displacement height), is tested over a field dataset in southern Italy.

Corresponding author address: P. Martano, CNR–ISAC, Via Monteroni, 73100 Lecce, Italy. Email: p.martano@isac.cnr.it

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Journal of Applied Meteorology and Climatology

  • Aster, R. C., B. Borchers, and C. H. Thurber, 2005: Parameter Estimation and Inverse Problems. Academic Press, 301 pp.

  • Beck, J. V., and V. Arnold, 1977: Parameter Estimation in Engineering and Science. John Wiley and Sons, 501 pp.

  • Blyth, E. M., and J. Dolman, 1995: The roughness length for heat of sparse vegetation. J. Appl. Meteor., 34 , 583–585.

  • Boegh, E., H. Soegaard, and A. Thomsen, 2002: Evaluating evapotranspiration rates and surface conditions using Landsat TM to estimate atmospheric resistance and surface resistance. Remote Sens. Environ., 79 , 329–343.

    • Search Google Scholar
    • Export Citation

  • Boegh, E., and Coauthors, 2004: Incorporating remote sensing data in physically based distributed agro-hydrological modelling. J. Hydrol., 287 , 279–299.

    • Search Google Scholar
    • Export Citation

  • Brutsaert, W., 1982: Evaporation into the Atmosphere. Kluwer Academic, 299 pp.

  • Businger, J. A., J. C. Wyngaard, Y. Izumi, and E. F. Bradley, 1971: Flux-profile relationships in the atmospheric surface layer. J. Atmos. Sci., 28 , 181–189.

    • Search Google Scholar
    • Export Citation

  • Caparrini, F., F. Castelli, and D. Entekhabi, 2004: Estimation of surface turbulent fluxes through assimilation of radiometric surface temperature sequences. J. Hydrometeor., 5 , 145–159.

    • Search Google Scholar
    • Export Citation

  • Cava, D., D. Contini, A. Donateo, and P. Martano, 2008: Analysis of short term closure of the surface energy balance above short vegetation. Agric. For. Meteor., 148 , 82–93.

    • Search Google Scholar
    • Export Citation

  • de Bruin, H. A. R., and O. K. Hartogensis, 2005: Variance method to determine turbulent fluxes of momentum and sensible heat in the stable atmospheric surface layer. Bound.-Layer Meteor., 116 , 385–392.

    • Search Google Scholar
    • Export Citation

  • de Bruin, H. A. R., W. Kohsiek, and J. J. M. Van der Hurk, 1993: A verification of some methods to determine the fluxes of momentum, sensible heat and water vapour using standard deviation and structure parameter of scalar meteorological quantities. Bound.-Layer Meteor., 63 , 231–257.

    • Search Google Scholar
    • Export Citation

  • Garratt, J. R., 1978: Flux profile relations above tall vegetation. Quart. J. Roy. Meteor. Soc., 104 , 199–211.

  • Garratt, J. R., 1992: The Atmospheric Boundary Layer. Cambridge University Press, 316 pp.

  • Hryama, T., M. Sugita, and K. Kotoda, 1996: Regional roughness parameters and momentum fluxes over a complex area. J. Appl. Meteor., 35 , 2179–2190.

    • Search Google Scholar
    • Export Citation

  • Katul, G., S. M. Goltz, C. Hsieh, Y. Cheng, F. Mowry, and J. Sigmon, 1995: Estimation of surface heat and momentum fluxes using the flux-variance method above uniform and non-uniform terrain. Bound.-Layer Meteor., 74 , 237–260.

    • Search Google Scholar
    • Export Citation

  • Kustas, P. W., J. H. Prueger, K. S. Humes, and P. J. Starks, 1999: Estimation of surface heat fluxes at field scale using surface layer versus mixed-layer atmospheric variables with radiometric temperature observations. J. Appl. Meteor., 38 , 224–238.

    • Search Google Scholar
    • Export Citation

  • Liu, X., O. Tsukamoto, T. Oikawa, and E. Ohtaki, 1998: A study of correlations of scalar quantities in the atmospheric surface layer. Bound.-Layer Meteor., 87 , 499–508.

    • Search Google Scholar
    • Export Citation

  • Malhi, Y., 1996: The behaviour of the roughness length for temperature over heterogeneous surfaces. Quart. J. Roy. Meteor. Soc., 122 , 1095–1125.

    • Search Google Scholar
    • Export Citation

  • Martano, P., 2000: Estimation of surface roughness length and displacement height from single-level sonic anemometer data. J. Appl. Meteor., 39 , 708–715.

    • Search Google Scholar
    • Export Citation

  • Martin, B. R., 1971: Statistics for Physicists. Academic Press, 210 pp.

  • Panofsky, H. A., and J. A. Dutton, 1984: Atmospheric Turbulence. John Wiley and Sons, 397 pp.

  • Salvucci, G. D., 1997: Soil and moisture independent estimation of stage-two evaporation from potential evaporation and albedo or surface temperature. Water Resour. Res., 33 , 111–122.

    • Search Google Scholar
    • Export Citation

  • Storch, R. B., L. C. G. Pimentel, and H. R. B. Orlande, 2007: Identification of atmospheric boundary layer parameters by inverse problem. Atmos. Environ., 41 , 1417–1425.

    • Search Google Scholar
    • Export Citation

  • Su, Z., T. Schmugge, W. P. Kustas, and W. J. Massman, 2001: An evaluation of two models for estimation of the roughness height for heat transfer between the land surface and the atmosphere. J. Appl. Meteor., 40 , 1933–1951.

    • Search Google Scholar
    • Export Citation

  • Sun, J., 1999: Diurnal variations of thermal roughness height over a grassland. Bound.-Layer Meteor., 92 , 407–427.

  • Sun, J., and L. Mahrt, 1995: Determination of surface fluxes from the surface radiative temperature. J. Atmos. Sci., 52 , 1096–1106.

  • Sun, J., W. Massman, and G. A. Grantz, 1999: Aerodynamic variables in the bulk formulation of turbulent fluxes. Bound.-Layer Meteor., 91 , 109–125.

    • Search Google Scholar
    • Export Citation

  • Van Ulden, A. P., and A. A. M. Hostlag, 1985: Estimation of atmospheric boundary layer parameters for diffusion applications. J. Climate Appl. Meteor., 24 , 1196–1207.

    • Search Google Scholar
    • Export Citation

  • Verhoef, A., H. A. R. De Bruin, and J. J. M. Van Den Hurk, 1997: Some practical notes on the parameter kB−1 for sparse vegetation. J. Appl. Meteor., 36 , 560–572.

    • Search Google Scholar
    • Export Citation

  • Wilson, D. K., 2001: An alternative function for the wind and temperature gradients in unstable surface layers. Bound.-Layer Meteor., 99 , 151–158.

    • Search Google Scholar
    • Export Citation

  • Zilitinkevich, S., A. Grachev, and C. W. Fairall, 2001: Scaling reasoning and field data on the sea surface roughness lengths for scalars. J. Atmos. Sci., 58 , 320–325.

    • Search Google Scholar
    • Export Citation
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