1. Explicit representation of sunlit and shaded canopy fraction: fun modeling issues and interesting WLEF results.
Ian Baker, Joe Berry, C. James Collatz, A. Scott Denning, YingPing Wang, Neil Suits, Lara Prihodko, Kevin Schaefer, Andrew Philpott

2. Sunlit/Shaded Scheme in SiB Model Framework
Replace a single vegetation value with 2 prognostic variables-sunlit and shaded canopy fraction. What changes to the model are required?
Tcsunlit
e*(Tcsunlit) Tm em Ta ea Tg
e*(Tg)
rbsun rd ra
rbshade
Tcshaded
e*(Tcshaded)

3. Radiation Transfer Submodel
General form of equation
Sunlit fraction= exp(-kL)
Shaded fraction = 1-exp(-kL)
k is a function of solar zenith angle and leaf angle distribution
Light is partitioned between the two canopy elements

4. Radiative Transfer Submodel (cont.)
Radiation scattered in an upward direction:
Radiation scattered in a downward direction:
These components are convolved with sunlit/shaded canopy fraction based upon Beers’ Law to give full complement of radiative transfer equations. Generally follows Sellers (1985) and Sellers et al (1996).

5. Canopy Radiative Transfer (cont.)
Sunlit leaves: beam + diffuse + scattered
Shaded leaves: diffuse + scattered

6. Canopy Nitrogen/Rubisco Velocity Attenuation
Nitrogen decreases with depth in a canopy, in a Beers’ Law relationship similar to LAI.
Multiple ways to represent this, but two popular techniques are:
Normalized: N(L) = N(0)exp(-kL/LT)
Non-Normalized: N(L) = N(0)exp(-KL)

7. Canopy Nitrogen/Rubisco Velocity Attenuation (cont.)
Does Rubisco Velocity decrease in the canopy 1:1 with Nitrogen (black line)?
Or is Nitrogen re-partitioned with depth in the canopy?
Canopy top: most resources allocated to carboxylation, light capture not as important
Canopy interior: Nitrogen re-allocated to light capture from carboxylation (blue line)

8. Impact of Rubisco Assumptions on Results
Beam/diffuse
Saturation at high illumination

9. Effect of Rubisco Treatment on Results
What happens as more leaf is added to the canopy?

10. What have we decided to do?
We like the ‘normalized’ Nitrogen attenuation scheme. It makes sense that the bottom of the canopy has 50% the Nitrogen at the top. Non-normalized schemes can have leaves at the bottom of a dense canopy with 2% Nitrogen compared to top leaves.
It also makes sense to re-allocate Nitrogen from carboxylation to chlorophyll with depth in the canopy. Not doing so results in excessive photosynthesis in test cases. Caveat: we have not determined the optimal re-allocation scheme for multiple biome types. Also, we are not modifying leaf transmissivity/reflectivity characteristics with canopy depth.

11. SO WHAT? Or, how can we utilize this new tool?
More realistic fluxes of heat, moisture, carbon and momentum when compared to flux towers
Higher degree of biophysical realism: Ability to perform additional botanical/ecological experiments

12. But First--Energy Budget
We know that the eddy covariance fluxes don’t close the energy budget-How should we use this when comparing modeled fluxes to obs?
What is the diurnal/annual nature of this term?
Rn = H + LE + G
Correction factor: C = (Rn – G) / (H + LE)
But this correction factor has limitations

13. But First--Energy Budget
Limitations to Using ‘Adjusted’ Observations
Can only evaluate model:obs on a 1:1 plot during restricted periods (i.e. H+LE > 0, Rn>0
C = (Rn – G) / (H + LE)
Monthly mean/Diurnal composite?
Modeled
Observed
I need guidance from the observation community for determining a reasonable evaluation strategy for the models vis-à-vis the energy closure issue!

14. Improved results Monthly Mean Values Summer H decreased
Annual cycle NEE
Spingtime sign change
Fall return to efflux
Magnitude?

15. More improved results Monthly Mean Diurnal Composite
New code has better shape, when compared to obs
Magnitude?

16. Taylor Plot Polar coordinates:
ANGLE: cos-1(R), where R is the correlation coefficient
Radius: standard deviation

17. Taylor Plot Correlation coeff of LE, NEE improves
Magnitude of NEE much larger
This plot for all points: how does it break out by month?

18. Taylor Plot: Sensible Heat
Amplitude of summertime H decreased
Correlation coeff worse

19. Taylor Plot: Latent Heat
Magnitude larger
Correlation coeff better

20. Taylor Plot: NEE
Magnitude larger
Correlation coeff better

21. What else can we do?

22. Isotopes
Shaded canopy discrimination is around 4‰ smaller that sunlit fraction; this agrees well with observations

23. Impending projects Species-specific
Ewers/Mackay et al; estimate transpiration flux from sap flux data; 4 basic forest types
Model: obtain leaf/species level data from Gutshick, determine model parameters
Initial model results: variable. With new model scheme, can re-address
Beam-diffuse
‘Global dimming’/aerosol loading (volcanic) change beam/diffuse radiation distribution
Model reproduction/resulting fluxes