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FvCB

Farquhar-von Caemmerer-Berry (FvCB) C3 photosynthesis model


Description

Farquhar-von Caemmerer-Berry (FvCB) C3 photosynthesis model

Rubisco-limited assimilation rate

RuBP regeneration-limited assimilation rate

TPU-limited assimilation rate

Usage

FvCB(C_chl, pars, unitless = FALSE)

W_carbox(C_chl, pars, unitless = FALSE)

W_regen(C_chl, pars, unitless = FALSE)

W_tpu(C_chl, pars, unitless = FALSE)

Arguments

C_chl

Chloroplastic CO2 concentration in Pa of class units

pars

Concatenated parameters (leaf_par, enviro_par, and constants)

unitless

Logical. Should units be set? The function is faster when FALSE, but input must be in correct units or else results will be incorrect without any warning.

Details

Equations following Buckley and Diaz-Espejo (2015):

Rubisco-limited assimilation rate:

W_carbox = V_cmax C_chl / (C_chl + K_m)

where:

K_m = K_c (1 + O / K_o)

RuBP regeneration-limited assimilation rate:

W_regen = J C_chl / (4 C_chl + 8 Γ*)

where J is a function of PPFD, obtained by solving the equation:

0 = θ_J J ^ 2 - J (J_max + φ_J PPFD) + J_max φ_J PPFD

TPU-limited assimilation rate:

W_tpu = 3 V_tpu C_chl / (C_chl - Γ*)


Symbol R Description Units Default
C_chl C_chl chloroplastic CO2 concentration Pa input
Γ* gamma_star chloroplastic CO2 compensation point (T_leaf) Pa calculated
J_max J_max potential electron transport (T_leaf) μmol CO2 / (m^2 s) calculated
K_C K_C Michaelis constant for carboxylation (T_leaf) μmol / mol calculated
K_O K_O Michaelis constant for oxygenation (T_leaf) μmol / mol calculated
O O atmospheric O2 concentration kPa 21.27565
φ_J phi_J initial slope of the response of J to PPFD none 0.331
PPFD PPFD photosynthetic photon flux density umol quanta / (m^2 s) 1500
R_d R_d nonphotorespiratory CO2 release (T_leaf) μmol CO2 / (m^2 s) calculated
θ_J theta_J curvature factor for light-response curve none 0.825
V_c,max V_cmax maximum rate of carboxylation (T_leaf) μmol CO2 / (m^2 s) calculated
V_tpu V_tpu rate of triose phosphate utilization (T_leaf) μmol CO2 / (m^2 s) calculated

Value

A list of four values with units umol CO2 / (m^2 s) of class units:
- W_carbox: Rubisco-limited assimilation rate
- W_regen: RuBP regeneration-limited assimilation rate
- W_tpu: TPU-limited assimilation rate
- A: minimum of W_carbox, W_regen, and W_tpu

References

Buckley TN and Diaz-Espejo A. 2015. Partitioning changes in photosynthetic rate into contributions from different variables. Plant, Cell & Environment 38: 1200-11.

Farquhar GD, Caemmerer S, Berry JA. 1980. A biochemical model of photosynthetic CO2 assimilation in leaves of C3 species. Planta 149: 78–90.

Examples

bake_par <- make_bakepar()
constants <- make_constants(use_tealeaves = FALSE)
enviro_par <- make_enviropar(use_tealeaves = FALSE)
leaf_par <- make_leafpar(use_tealeaves = FALSE)
leaf_par <- bake(leaf_par, bake_par, constants)

pars <- c(leaf_par, enviro_par, constants)
C_chl <- set_units(24.28, "Pa")
FvCB(C_chl, pars)

photosynthesis

Tools for Plant Ecophysiology & Modeling

v2.0.0
MIT + file LICENSE
Authors
Joseph Stinziano [aut] (<https://orcid.org/0000-0002-7628-4201>), Cassaundra Roback [aut], Demi Gamble [aut], Bridget Murphy [aut], Patrick Hudson [aut, dtc], Chris Muir [aut, cre] (<https://orcid.org/0000-0003-2555-3878>)
Initial release
2020-09-11

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