Solvers

Shortwave schemes

Scheme	Scheme name	Reference(s)
Beer–Lambert	bl	[CN12], …
Dickinson–Sellers two-stream	2s	[Dic83, Sel85, SRC+96]
Four-stream	4s	[TDZ07]
Zhao & Qualls multi-scattering	zq	[ZQ05]
Bodin & Franklin 1.5 stream	bf	[BF12]
Goudriaan one-stream	gd	[BF12, Gou77]
Zhao & Qualls from pyAPES	zq_pa
Norman (1979)	n79	[Bon19, Nor79]

Dickinson–Sellers [Dic83, Sel85] is quite common.

References

Bonan’s 2019 book [Bon19] is an excellent reference for many of the concepts.

[BF12] (1,2)

P. Bodin and O. Franklin. Efficient modeling of sun/shade canopy radiation dynamics explicitly accounting for scattering. Geosci. Model Dev., 5(2):535–541, April 2012. URL: https://www.geosci-model-dev.net/5/535/2012/ (visited on 2018-07-11), doi:10.5194/gmd-5-535-2012.

[Bon19] (1,2)

Gordon Bonan. Climate Change and Terrestrial Ecosystem Modeling. Cambridge University Press, February 2019. ISBN 978-1-107-33921-7. URL: /core/books/climate-change-and-terrestrial-ecosystem-modeling/7D31B7BC519E3E892EFDC01F0B54F701 (visited on 2019-10-15), doi:10.1017/9781107339217.

[Cam90]

G. S Campbell. Derivation of an angle density function for canopies with ellipsoidal leaf angle distributions. Agricultural and Forest Meteorology, 49(3):173–176, February 1990. doi:10.1016/0168-1923(90)90030-A.

[Cam86]

G. S. Campbell. Extinction coefficients for radiation in plant canopies calculated using an ellipsoidal inclination angle distribution. Agricultural and Forest Meteorology, 36(4):317–321, April 1986. URL: http://www.sciencedirect.com/science/article/pii/0168192386900109 (visited on 2017-08-29), doi:10.1016/0168-1923(86)90010-9.

[CN12]

Gaylon S. Campbell and John M. Norman. An Introduction to Environmental Biophysics. Springer Science & Business Media, New York, 2 edition, December 2012. ISBN 978-1-4612-1626-1.

[Dic83] (1,2)

Robert E. Dickinson. Land Surface Processes and Climate—Surface Albedos and Energy Balance. Advances in Geophysics, 25:305–353, January 1983. URL: http://www.sciencedirect.com/science/article/pii/S0065268708601764 (visited on 2017-03-24), doi:10.1016/S0065-2687(08)60176-4.

[Gou77]

J. Goudriaan. Crop micrometeorology : a simulation study. phd, Pudoc, Wageningen, 1977. URL: http://library.wur.nl/WebQuery/wurpubs/70980 (visited on 2018-04-19).

[Nor79]

J. M. Norman. Modeling the complete crop canopy. In Modification of the Aerial Environment of Crops. American Society of Agricultural Engineers, 1979.

[Sel85] (1,2)

P. J. Sellers. Canopy reflectance, photosynthesis and transpiration. International Journal of Remote Sensing, 6(8):1335–1372, August 1985. URL: http://dx.doi.org/10.1080/01431168508948283 (visited on 2017-03-24), doi:10.1080/01431168508948283.

[SRC+96]

P.j. Sellers, D.a. Randall, G.j. Collatz, J.a. Berry, C.b. Field, D.a. Dazlich, C. Zhang, G.d. Collelo, and L. Bounoua. A Revised Land Surface Parameterization (SiB2) for Atmospheric GCMS. Part I: Model Formulation. Journal of Climate, 9(4):676–705, April 1996. URL: http://journals.ametsoc.org/doi/abs/10.1175/1520-0442(1996)009%3C0676:ARLSPF%3E2.0.CO;2 (visited on 2017-06-09), doi:10.1175/1520-0442(1996)009<0676:ARLSPF>2.0.CO;2.

[TDZ07]

Yuhong Tian, Robert E. Dickinson, and Liming Zhou. Four-stream isosector approximation for canopy radiative transfer. Journal of Geophysical Research: Atmospheres, 112(D4):D04107, February 2007. URL: http://onlinelibrary.wiley.com/doi/10.1029/2006JD007545/abstract (visited on 2017-05-19), doi:10.1029/2006JD007545.

[ZQ05]

Wenguang Zhao and Russell J. Qualls. A multiple-layer canopy scattering model to simulate shortwave radiation distribution within a homogeneous plant canopy. Water Resources Research, 41(8):W08409, August 2005. URL: http://onlinelibrary.wiley.com.ezaccess.libraries.psu.edu/doi/10.1029/2005WR004016/abstract (visited on 2017-05-03), doi:10.1029/2005WR004016.