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CO2_conductance

Conductance to CO2 (umol / (m^2 s Pa))


Description

Conductance to CO2 (umol / (m^2 s Pa))

- g_tc: total conductance to CO2

- g_uc: cuticular conductance to CO2

- g_bc: boundary layer conductance to CO2

- g_mc: mesophyll conductance to CO2

- g_sc: stomatal conductance to CO2

Usage

.get_gtc(pars, unitless)

.get_guc(pars, surface, unitless)

.get_gbc(pars, surface, unitless)

.get_gmc(pars, surface, unitless)

.get_gsc(pars, surface, unitless)

Arguments

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.

surface

Leaf surface (lower or upper)

Details

Total conductance to CO2 is the sum of parallel conductances on the lower (gc_lower) and upper (gc_upper) leaf portions:

gc_total = gc_lower + gc_upper

Each partial conductance consists of two parallel conductances, the cuticular conductance (g_uc) and the in-series conductances through mesophyll (g_mc), stomata (g_sc), and boundary layer (g_bc). To simplify the formula, I use substitute resistance where r_x = 1 / g_x. For surface i:

g_ci = g_ui + (1 / (r_mi + r_si + r_bi))

The cuticular, stomatal, and mesophyll conductances can be the same or different for upper and lower. The partitioning factors (k_x) divide the conductance between surfaces while keeping the total conductance constant:

gx_lower = g_x (1 / (1 + k_x))

gx_upper = g_x (k_x / (1 + k_x))

g_x = gx_lower + gx_upper

How the partitioning factors work:

k_x description
0 all conductance on lower surface/portion
0.5 2/3 conductance on lower surface
1 conductance evenly divided between surfaces/portions
2 2/3 conductance on upper surface
Inf all conductance on upper surface/portion

The boundary layer conductances for each are calculated on the basis of mass and heat transfer (see .get_gbc).

Symbol R Description Units Default
g_mc g_mc mesophyll conductance to CO2 (T_leaf) μmol CO2 / (m^2 s Pa) calculated
g_sc g_sc stomatal conductance to CO2 μmol CO2 / (m^2 s Pa) 4
g_uc g_uc cuticular conductance to CO2 μmol CO2 / (m^2 s Pa) 0.1
k_mc k_mc partition of g_mc to lower mesophyll none 1
k_sc k_sc partition of g_sc to lower surface none 1
k_uc k_uc partition of g_uc to lower surface none 1

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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