Skip to main content
Log in

A new parameterization of canopy radiative transfer for land surface radiation models

  • Original Paper
  • Published:
Advances in Atmospheric Sciences Aims and scope Submit manuscript

Abstract

A new parameterization of canopy asymmetry factor on phase function, which is dependent on the leaf normal distribution and leaf reflection/transmission, is derived. This new parameterization is much more accurate than the existing scheme. In addition, the new solutions for both the diffuse and direct radiation can be obtained using the Eddington approximation. It is found that the direct radiation can be described as a function of the diffuse radiation. This new approach offers a substantial improvement in accuracy, as compared with the hemispheric constant method, for both isotropic and anisotropic cases. Given the analytical nature of the solution and its high accuracy, we recommend the new parameterization for application in land surface radiation modeling.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Biswas, G., 2007: Some new leaf normal-angle distribution models and their influence on geometry functions and area scattering phase functions related to radiative transfer problems in vegetative canopies. Journal of Quantitative Spectroscopy and Radiative Transfer, 108, 197–219.

    Article  Google Scholar 

  • Chou, M. D., 1992: A solar radiation model for use in climate studies. J. Atmos. Sci., 49, 762–772.

    Article  Google Scholar 

  • Coakley, J. A., R. D. Cess, and F. B. Yurevich, 1983: The effect of tropospheric aerosols on the earth’s radiation budget: A parameterization for climate models. J. Atmos. Sci., 40, 116–138.

    Article  Google Scholar 

  • Coakley, J. A. Jr., and P. Chylek, 1975: The two-stream approximation in radiative transfer: Including the angle of the incident radiation. J. Atmos. Sci., 32, 409–418.

    Article  Google Scholar 

  • Dai, Q. D., and S. F. Sun, 2006: A generalized layered radiative transfer model in the vegetation canopy. Adv. Atmos. Sci., 23(2), 243–257, doi: 10.1007/s00376-006-0243-7.

    Article  Google Scholar 

  • Dai, Q. D., and S. F. Sun, 2007a: A comparison of two canopy radiative models in land surface processes. Adv. Atmos. Sci., 24(3), 421–434, doi: 10.1007/s00376-007-0421-2.

    Article  Google Scholar 

  • Dai, Q. D., and S. F. Sun, 2007b: A simplified scheme of the generalized layered radiative transfer model. Adv. Atmos. Sci., 24(2), 213–226, doi: 10.1007/s00376-007-0213-8.

    Article  Google Scholar 

  • De Ridder, K., 2001: Radiative transfer in the IAGL land surface model. J. Appl. Meteor., 36, 12–21.

    Article  Google Scholar 

  • Dickinson, R. E., 1983: Land surface processes and climatesurface albedos and energy balance. Advances in Geophysics, 25, 305–353.

    Article  Google Scholar 

  • Henyey, L. G., and J. L. Greenstein, 1941: Diffuse radiation in the galaxy. Astrophysical Journal, 93, 70–83.

    Article  Google Scholar 

  • Joseph, J. H., W. J. Wiscombe, and J. A. Weinman, 1976: The delta-Eddington approximation for radiative flux transfer. J. Atmos. Sci., 33, 2452–2459.

    Article  Google Scholar 

  • Kylling, A., K. Stamnes, and S.-C. Tsay, 1995: A reliable and efficient two-stream algorithm for spherical radiative transfer: Documentation of accuracy in realistic layered media. Journal of Atmospheric Chemistry, 21, 115–150.

    Article  Google Scholar 

  • Li, J., and V. Ramaswamy, 1996: Four-stream spherical harmonic expansion approximation for solar radiative transfer. J. Atmos. Sci., 53, 1174–1186.

    Article  Google Scholar 

  • Liou, K.-N., 1974: Analytic two-stream and four-stream solutions for radiative transfer. J. Atmos. Sci., 31, 1473–1475.

    Article  Google Scholar 

  • Lu, P., H. Zhang, and J. N. Li, 2009: A comparison of twostream DISORT and Eddington radiative transfer schemes in a real atmospheric profile. Journal of Quantitative Spectroscopy and Radiative Transfer, 110, 129–138.

    Article  Google Scholar 

  • Meador, W. E., and W. R. Weaver, 1980: Two-stream approximations to radiative transfer in planetary atmospheres—A unified description of existing methods and a new improvement. J. Atmos. Sci., 37, 630–643.

    Article  Google Scholar 

  • Myneni, R. B., G. Asrar, and E. T. Kanemasu, 1987: Light scattering in plant canopies: The method of successive orders of scattering approximations (SOSA). Agricultural and Forest Meteorology, 39, 1–12.

    Article  Google Scholar 

  • Myneni, R. B., J. Ross, and G. Asrar, 1989: A review on the theory of photon transport in leaf canopies in slab geometry. Agricultural and Forest Meteorology, 45, 1–153.

    Article  Google Scholar 

  • Nakajima, T., M. Tsukamoto, Y. Tsushima, A. Numaguti, and T. Kimura, 2000: Modeling of the radiative process in an atmospheric general circulation model. Appl. Opt., 39, 4869–4878.

    Article  Google Scholar 

  • Norman, J. M., and P. G. Jarvis, 1975: Photosynthesis in Sitka spruce (Piceasitchensis (Bong.) Carr.): V. Radiation penetration theory and a test case. Journal of Applied Ecology, 12, 839–878.

    Google Scholar 

  • Otto, S., and T. Trautmann, 2008: A note on g-functions within the scope of radiative transfer in turbid vegetation media. Journal of Quantitative Spectroscopy and Radiative Transfer, 109, 2813–2819.

    Article  Google Scholar 

  • Picca, P., and R. Furfaro, 2013: Analytical discrete ordinate method for radiative transfer in dense vegetation canopies. Journal of Quantitative Spectroscopy and Radiative Transfer, 118, 60–69.

    Article  Google Scholar 

  • Ross, J., 1981: The Radiation Regime and Architecture of Plant Stands. Springer, 391pp.

    Book  Google Scholar 

  • Sellers, P. J., 1985: Canopy reflectance, photosynthesis and transpiration. Int. J. Remote Sens., 6, 1335–1372.

    Article  Google Scholar 

  • Shultis, K., and R. B. Myneni, 1988: Radiative transfer in vegetation canopies with anisotropic scattering. Journal of Quantitative Spectroscopy and Radiative Transfer, 39, 115–129.

    Article  Google Scholar 

  • Tian, Y. H., R. E. Dickinson, and L. M. Zhou, 2007: Four-stream isosector approximation for canopy radiative transfer. J. Geophys. Res., 112(D04107), doi:10.1029/2006JD007545.

    Google Scholar 

  • Yu M., G. Li., Wang, H. S. Chen, 2016: Quantifying the impacts of land surface schemes and dynamic vegetation on the model dependency of projected changes in surface energy and water budgets. J. Adv. Model. Earth Sys., 8(1), 370–386.

    Article  Google Scholar 

  • Zhang, F., and J. N. Li, 2013: Doubling-adding method for deltafour-stream spherical harmonic expansion approximation in radiative transfer parameterization. J. Atmos. Sci., 70, 3084–3101.

    Article  Google Scholar 

  • Zhang, F., J. N. Li, H. Zhang, L. M. Ma, and X. J. Zhou, 2013a: On the relationship between direct and diffuse radiation. Journal of Quantitative Spectroscopy and Radiative Transfer, 115, 60–65.

    Article  Google Scholar 

  • Zhang, F., Z. P. Shen, J. N. Li, X. J. Zhou, and L. M. Ma, 2013b: Analytical delta-four-stream doubling-adding method for radiative transfer parameterizations. J. Atmos. Sci., 70, 794–808.

    Article  Google Scholar 

  • Zhou, W. Y., P.W. Guo, L. Yong, K.-N. Liou, G. Yu, and Y. K. Xue, 2009: Four-stream radiative transfer parameterization scheme in a land surface process model. Acta Meteorologica Sinica, 23, 105–115.

    Google Scholar 

  • Wang Z., S. C. Cui, J. Yang, H. Y. Gao, Chao Liu, Z. B. Zhang, 2017: A novel hybrid scattering order-dependent variance reduction method for Monte Carlo simulations of radiative transfer in cloudy atmosphere. Journal of Quantitative Spectroscopy and Radiative Transfer, 189, 283–302.

    Article  Google Scholar 

Download references

Acknowledgements

The work was supported by the National Natural Science Foundation of China (Grant Nos. 41305004, 41675003 and 91537213), and the PAPD (Priority Academic Program Development) of Jiangsu Higher Education Institutions.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Feng Zhang.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Zhang, F., Lei, Y., Yan, JR. et al. A new parameterization of canopy radiative transfer for land surface radiation models. Adv. Atmos. Sci. 34, 613–622 (2017). https://doi.org/10.1007/s00376-016-6139-2

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00376-016-6139-2

Key words

Navigation