# FARAO: FARquhar And Opti In plantecophys: Modelling and Analysis of Leaf Gas Exchange Data

## Description

The numerical solution of the optimal stomatal conductance model, coupled with the Farquhar model of photosynthesis. The model of Medlyn et al. (2011) is an approximation to this full numeric solution.

## Usage

 ```1 2 3 4 5``` ```FARAO(lambda = 0.002, Ca = 400, VPD = 1, photo = c("BOTH", "VCMAX", "JMAX"), energybalance = FALSE, C4 = FALSE, Tair = 25, Wind = 2, Wleaf = 0.02, StomatalRatio = 1, LeafAbs = 0.86, ...) FARAO2(lambda = 0.002, Ca = 400, energybalance = FALSE, ...) ```

## Arguments

 `lambda` The marginal cost of water (mol mol-1) `Ca` The CO2 concentration. `VPD` Vapor pressure deficit (kPa) `photo` Which photosynthesis rate should stomata respond to? Defaults to 'BOTH', i.e. the minimum of Vcmax and Jmax limited rates. `energybalance` If TRUE (Default = FALSE), calculates leaf temperature from energy balance (and its effects on photosynthesis as well as leaf transpiration), using `PhotosynEB`. `C4` If TRUE, uses the C4 photosynthesis routine (`AciC4`) `Tair` Air temperature (deg C) `Wind` Wind speed (m s-1) (only used if energybalance=TRUE) `Wleaf` Leaf width (m) (only used if energybalance=TRUE) `StomatalRatio` The stomatal ratio (see `PhotosynEB`) (only used if energybalance=TRUE) `LeafAbs` Leaf absorptance (see `PhotosynEB`) (only used if energybalance=TRUE) `...` All other parameters are passed to `Aci`

## Details

This model finds the Ci that maximizes A - lambda*E (Cowan & Farquhar 1977, see also Medlyn et al. 2011). The new function FARAO2 is a much simpler (and probably more stable) implementation, based on Buckley et al. 2014 (P,C&E). Both functions are provided, as FARAO has a few more options than FARAO2, at the moment.

Remko Duursma

## References

Buckley, T.N., Martorell, S., Diaz-Espejo, A., Tomas, M., Medrano, H., 2014. Is stomatal conductance optimized over both time and space in plant crowns? A field test in grapevine (Vitis vinifera). Plant Cell Environ doi:10.1111/pce.12343

Cowan, I. and G.D. Farquhar. 1977. Stomatal function in relation to leaf metabolism and environment. Symposia of the Society for Experimental Biology. 31:471-505.

Medlyn, B.E., R.A. Duursma, D. Eamus, D.S. Ellsworth, I.C. Prentice, C.V.M. Barton, K.Y. Crous, P. De Angelis, M. Freeman and L. Wingate. 2011. Reconciling the optimal and empirical approaches to modelling stomatal conductance. Global Change Biology. 17:2134-2144.

plantecophys documentation built on Sept. 14, 2017, 5:05 p.m.