The Angular Distribution of UV-B Sky Radiance under Cloudy Conditions: A Comparison of Measurements and Radiative Transfer Calculations Using a Fractal Cloud Model

Christopher Kuchinke School of Geography and Environmental Studies, University of Tasmania, Hobart, Tasmania, Australia

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Kurt Fienberg School of Geography and Environmental Studies, University of Tasmania, Hobart, Tasmania, Australia

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Manuel Nunez School of Geography and Environmental Studies, University of Tasmania, Hobart, Tasmania, Australia

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Abstract

In recent years, global warming concerns have focused attention on cloud radiative forcing and its accurate encapsulation in radiative transfer measurement and modeling programs. At present, this process is constrained by the dynamic movement and inhomogeneity of cloud structure. This study attempts to quantify the UV sky radiance distribution induced by a partial and overcast stratiform cloud field while addressing some of the inherent spatial and temporal errors resulting from cloud. For this purpose, high-quality azimuthally averaged 2-min measurements of erythemal UV-B sky radiance distribution were undertaken by a variable sky-view platform at Hobart, Australia (42.90°S, 147.33°E). Measurements were subsequently compared with Monte Carlo radiative transfer simulations using both a multifractal and plane-parallel homogenous (PPH) cloud field. Data were also compared with several empirical parameterizations. Results at solar zenith angles of 30° and 50° show that for overcast conditions, the multifractal model is superior to the PPH model. For broken cloud conditions, the radiance measurements are biased toward higher instances of direct-beam interruption by cloud. This tends to smooth the near-sun sky radiance field whereas the multifractal model under the same conditions continues to exhibit the circumsolar effect, indicating that its performance may be still valid for radiation modeling. An empirical parameterization of the same multifractal model produced similar sky radiance profiles, warranting its use in radiative transfer models.

* Current affiliation: Department of Physics, University of Miami, Coral Gables, Florida

Corresponding author address: Dr. Christopher Kuchinke, Department of Physics, University of Miami, P.O. Box 248046, Coral Gables, FL 33124-0530. kuchinke@physics.miami.edu

Abstract

In recent years, global warming concerns have focused attention on cloud radiative forcing and its accurate encapsulation in radiative transfer measurement and modeling programs. At present, this process is constrained by the dynamic movement and inhomogeneity of cloud structure. This study attempts to quantify the UV sky radiance distribution induced by a partial and overcast stratiform cloud field while addressing some of the inherent spatial and temporal errors resulting from cloud. For this purpose, high-quality azimuthally averaged 2-min measurements of erythemal UV-B sky radiance distribution were undertaken by a variable sky-view platform at Hobart, Australia (42.90°S, 147.33°E). Measurements were subsequently compared with Monte Carlo radiative transfer simulations using both a multifractal and plane-parallel homogenous (PPH) cloud field. Data were also compared with several empirical parameterizations. Results at solar zenith angles of 30° and 50° show that for overcast conditions, the multifractal model is superior to the PPH model. For broken cloud conditions, the radiance measurements are biased toward higher instances of direct-beam interruption by cloud. This tends to smooth the near-sun sky radiance field whereas the multifractal model under the same conditions continues to exhibit the circumsolar effect, indicating that its performance may be still valid for radiation modeling. An empirical parameterization of the same multifractal model produced similar sky radiance profiles, warranting its use in radiative transfer models.

* Current affiliation: Department of Physics, University of Miami, Coral Gables, Florida

Corresponding author address: Dr. Christopher Kuchinke, Department of Physics, University of Miami, P.O. Box 248046, Coral Gables, FL 33124-0530. kuchinke@physics.miami.edu

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  • Borde, R. and H. Isaka. 1996. Radiative transfer in multifractal clouds. J. Geophys. Res 101 D23:2946129478.

  • Cahalan, R. F., W. Ridgway, W. J. Wiscombe, T. L. Bell, and J. B. Snider. 1994. The albedo of fractal stratocumulus clouds. J. Atmos. Sci 51:24342455.

    • Search Google Scholar
    • Export Citation
  • Coombes, C. A. and A. W. Harrison. 1988. Angular distribution of overcast sky short wavelength radiance. Sol. Energy 40:161166.

  • Cullen, J. J. and M. P. Lesser. 1991. Inhibition of photosynthesis by ultraviolet radiation as a function of dose and dosage rate: Results for a marine diatom. Mar. Biol 111:183190.

    • Search Google Scholar
    • Export Citation
  • Davis, A., A. Marshak, W. J. Wiscombe, and R. F. Cahalan. 1994. Multifractal characterizations of non-stationarity and intermittency in geophysical fields, observed, retrieved or simulated. J. Geophys. Res 99:80558072.

    • Search Google Scholar
    • Export Citation
  • Davis, A., A. Marshak, W. J. Wiscombe, and R. F. Cahalan. 1997. Multifractal characterizations of non-stationarity and intermittency in geophysical signals and fields. Current Topics in Nonstationary Analysis, G. Trevino, Ed., World Scientific, 97–158.

    • Search Google Scholar
    • Export Citation
  • Fienberg, K. and M. Nunez. 2002. Three-dimensional multifractal cloud model for radiative transfer calculations in the remote sensing of cloud properties. Remote Sensing of Clouds and the Atmosphere VII, K. P. Schaefer et al., Eds., International Society for Optical Engineering (SPIE Vol. 4882). 4051.

    • Search Google Scholar
    • Export Citation
  • Grant, R. H. and G. M. Heisler. 1997. Obscured overcast sky radiance distributions for ultraviolet and photosynthetically active radiation. J. Appl. Meteor 36:13361345.

    • Search Google Scholar
    • Export Citation
  • Grant, R. H., G. M. Heisler, and W. Gao. 1997. Ultraviolet sky radiance distributions of translucent overcast skies. Theor. Appl. Climatol 58:129139.

    • Search Google Scholar
    • Export Citation
  • Harrison, A. W. and C. A. Coombes. 1988. An opaque cloud cover model of sky short wavelength radiance. Sol. Energy 41:387392.

  • Hu, Y. X. and K. Stamnes. 1993. An accurate parameterization of the radiative properties of water clouds suitable for use in climate models. J. Climate 6:728743.

    • Search Google Scholar
    • Export Citation
  • Kolmogorov, A. N. 1949. Local structures of turbulence in an incompressible liquid for very large Reynolds numbers. Dokl. Akad. Nauk SSSR 30:299303.

    • Search Google Scholar
    • Export Citation
  • Kuchinke, C. 2002. Improved techniques for the spatial and temporal measurement of ultraviolet radiation. Ph.D. thesis, University of Tasmania, 352 pp.

    • Search Google Scholar
    • Export Citation
  • Kuchinke, C. and M. Nunez. 2001. Spectral dependence in the cosine response of broadband UV instruments. J. Geophys. Res 106 D13:1428714300.

    • Search Google Scholar
    • Export Citation
  • Kuchinke, C. and M. Nunez. 2003. A variable sky-view platform for the measurement of ultraviolet radiation. J. Atmos. Oceanic Technol 20:11701182.

    • Search Google Scholar
    • Export Citation
  • Lavallee, D., D. Schertzer, and S. Lovejoy. 1991. On the determination of the codimension function. Non-Linear Variability in Geophysics: Scaling and Fractals, D. Schertzer and S. Lovejoy, Eds., Kluwer. 4182.

    • Search Google Scholar
    • Export Citation
  • Lesser, M. P., J. J. Cullen, and P. J. Neale. 1994. Carbon uptake in a marine diatom during acute exposure to ultraviolet B radiation: Relative importance of damage and repair. J. Phycol 30:183192.

    • Search Google Scholar
    • Export Citation
  • Mandelbrot, B. 1983. The Fractal Geometry of Nature. Freeman Press, 468 pp.

  • Marshak, A., A. Davis, W. Wiscombe, and R. Calahan. 1995. Radiative smoothing in fractal clouds. J. Geophys. Res 100 D12:2624726261.

  • McKee, T. B. and J. T. Klehr. 1978. Effects of cloud shape on scattered solar radiation. Mon. Wea. Rev 106:399404.

  • McPeters, R. Coauthors 1998. Earth Probe total ozone mapping spectrometer (TOMS) data products user's guide. NASA Technical Publication, Goddard Space Flight Center, Greenbelt, MD, 70 pp.

    • Search Google Scholar
    • Export Citation
  • Morris, C. W. and J. H. Lawrence. 1971. The anisotropy of clear sky diffuse solar radiation. ASHRAE Trans 77:136142.

  • Paltridge, G. W. and C. M. R. Platt. 1976. Radiative Processes in Meteorology and Climatology. Elsevier, 318 pp.

  • Pecknold, S., D. Schertzer, S. Lovejoy, C. Hooge, and J. F. Malouin. 1994. The simulation of universal multifractals. Cellular Automata: Prospects in Astronomy and Astrophysics, J. M. Perdang and A. Lejeune, Eds., World Scientific, 228–267.

    • Search Google Scholar
    • Export Citation
  • Plank, V. G. 1969. The size distribution of cumulus clouds in representative Florida populations. J. Appl. Meteor 8:4667.

  • Romanova, L. M. 1998. Solar radiative transfer in inhomogeneous stratiform clouds. Isv. Atmos. Oceanic Phys 34:726733.

  • Rosen, M. A. and F. C. Hooper. 1989. A comparison of two models for the angular distribution of diffuse sky radiance for overcast skies. Sol. Energy 42:477482.

    • Search Google Scholar
    • Export Citation
  • Schertzer, D. and S. Lovejoy. 1985. Dimension and intermittency of atmospheric dynamics. Turbul. Shear Flow 4:733.

  • Schertzer, D. and S. Lovejoy. 1987. Physical modeling and analysis of rain clouds by anisotropic scaling multiplicative processes. J. Geophys. Res 92:96939714.

    • Search Google Scholar
    • Export Citation
  • Schertzer, D. and S. Lovejoy. 1991. Nonlinear geodynamical variability: Multiple singularities, universality and observables. Non-linear Variability in Geophysics: Scaling and Fractals, D. Schertzer and S. Lovejoy, Eds., Kluwer, 41–82.

    • Search Google Scholar
    • Export Citation
  • Stephens, G. L. and C. M. R. Platt. 1987. Aircraft observations of the radiative and microphysical properties of stratocumulus and cumulus cloud fields. J. Climate Appl. Meteor 26:12431269.

    • Search Google Scholar
    • Export Citation
  • Szczap, F., H. Isaka, M. Saute, B. Guillermet, and A. Ioltukhovski. 2000. Effective radiative properties of bounded cascade non-absorbing clouds: Definition of the equivalent homogeneous cloud approximation. J. Geophys. Res 105:2061720633.

    • Search Google Scholar
    • Export Citation
  • Tessier, Y., S. Lovejoy, and D. Schertzer. 1993. Universal multifractals: Theory and observation for rain and clouds. J. Appl. Meteor 32:223250.

    • Search Google Scholar
    • Export Citation
  • Varnai, T. and A. Marshak. 2001. Statistical analysis of the uncertainties in cloud optical depth retrievals caused by three-dimensional radiative effects. J. Atmos. Sci 58:15401548.

    • Search Google Scholar
    • Export Citation
  • Weihs, P., A. R. Webb, S. J. Hutchison, and G. W. Middleton. 2000. Measurements of the diffuse UV sky radiance during broken cloud conditions. J. Geophys. Res 105 D4:49374944.

    • Search Google Scholar
    • Export Citation
  • Welch, R. M. and B. A. Wielicki. 1984. Stratocumulus cloud field reflected fluxes: The effect of cloud shape. J. Atmos. Sci 41:30853103.

    • Search Google Scholar
    • Export Citation
  • Wilson, S., S. Lovejoy, and D. Schertzer. 1991. Physically based modeling by multiplicative cascade processes. Non-linear Variability in Geophysics: Scaling and Fractals, D. Schertzer and S. Lovejoy, Eds., Kluwer, 185–208.

    • Search Google Scholar
    • Export Citation
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