Table of symbolic variables used in other worksheets

Below, we import variables and their definitions and units from other worksheets and display them in a sorted table. We also generate latex code for inclusion in manuscript.



In [1]:

    
%%capture storage
# The above redirects all output of the below commands to the variable 'storage' instead of displaying it.
# It can be viewed by typing: 'storage()'
# Setting up worksheet and importing equations for explicit leaf energy balance
load('temp/Worksheet_setup.sage')



In [2]:

    
# List all .ipynb files
list_files = os.listdir('.')
for fname in list_files:
    if fname[-5:] == 'ipynb':
        print fname









    



Tables_of_variables.ipynb
Worksheet_update.ipynb
Worksheet_setup.ipynb
stomatal_cond_eqs.ipynb
leaf_chamber_eqs.ipynb
leaf_chamber_data.ipynb
leaf_enbalance_eqs.ipynb
E_PM_eqs.ipynb



In [3]:

    
# From leaf_enbalance_eqs, E_PM_eqs and stomatal_cond_eqs

load_session('temp/leaf_enbalance_eqs.sobj')
dict_vars1 = dict_vars.copy()

load_session('temp/stomatal_cond_eqs.sobj')
dict_vars1.update(dict_vars)

load_session('temp/E_PM_eqs.sobj')
dict_vars1.update(dict_vars)

dict_vars = dict_vars1.copy()
fun_loadvars(vardict=dict_vars)   # re-loading variable definitions
udict = {}
for key1 in dict_vars.keys():
    udict[key1] = dict_vars[key1]['units']     # exporting units information from dict_vars to udict, which will be used below.



In [4]:

    
# Creating dictionary to substitute names of units with shorter forms
var('m s J Pa K kg mol')
subsdict = {meter: m, second: s, joule: J, pascal: Pa, kelvin: K, kilogram: kg, mole: mol}
var('N_Re_L N_Re_c N_Le N_Nu_L N_Gr_L N_Sh_L')
dict_varnew = {Re: N_Re_L, Re_c: N_Re_c, Le: N_Le, Nu: N_Nu_L, Gr: N_Gr_L, Sh: N_Sh_L}
dict_varold = {v: k for k, v in dict_varnew.iteritems()}
variables = sorted([str(variable.subs(dict_varnew)) for variable in udict.keys()],key=str.lower)
tableheader = [('Variable', 'Description (value)', 'Units')]
tabledata = [('Variable', 'Description (value)', 'Units')]
for variable1 in variables:
    variable2 = eval(variable1).subs(dict_varold)
    variable = str(variable2)
    tabledata.append((eval(variable),docdict[eval(variable)],fun_units_formatted(variable)))

table(tabledata, header_row=True)









    Out[4]:








Variable
Description (value)
Units


 $A_{p}$ 
Cross-sectional pore area
 m $^{2}$  


 $a_{s}$ 
Fraction of one-sided leaf area covered by stomata (1 if stomata are on one side only, 2 if they are on both sides)
1 


 ${a_{sh}}$ 
Fraction of projected area exchanging sensible heat with the air (2)
1 


 $\alpha_{a}$ 
Thermal diffusivity of dry air
 m $^{2}$   s $^{-1}$  


 $B_{l}$ 
Boundary layer thickness
m 


 ${\beta_B}$ 
Bowen ratio (sensible/latent heat flux)
1 


 $c_{E}$ 
Latent heat transfer coefficient
J  Pa $^{-1}$   m $^{-2}$   s $^{-1}$  


 $c_{H}$ 
Sensible heat transfer coefficient
J  K $^{-1}$   m $^{-2}$   s $^{-1}$  


 ${c_{pa}}$ 
Specific heat of dry air (1010) 
J  K $^{-1}$   kg $^{-1}$  


 ${C_{wa}}$ 
Concentration of water in the free air 
mol  m $^{-3}$  


 ${C_{wl}}$ 
Concentration of water in the leaf air space 
mol  m $^{-3}$  


 $d_{p}$ 
Pore depth
m 


 ${D_{va}}$ 
Binary diffusion coefficient of water vapour in air
 m $^{2}$   s $^{-1}$  


 ${\Delta_{eTa}}$ 
Slope of saturation vapour pressure at air temperature
Pa  K $^{-1}$  


 $E_{l}$ 
Latent heat flux from leaf
J  m $^{-2}$   s $^{-1}$  


 ${E_{l,mol}}$ 
Transpiration rate in molar units
mol  m $^{-2}$   s $^{-1}$  


 $E_{w}$ 
Latent heat flux from a wet surface
J  m $^{-2}$   s $^{-1}$  


 $\epsilon$ 
Water to air molecular weight ratio (0.622)
1 


 $\epsilon_{l}$ 
Longwave emmissivity of the leaf surface (1.0)
1 


 $F_{p}$ 
Fractional pore area (pore area per unit leaf area)
1 


 $f_{u}$ 
Wind function in Penman approach, f(u) adapted to energetic units
J  Pa $^{-1}$   m $^{-2}$   s $^{-1}$  


 $g$ 
Gravitational acceleration (9.81)
m  s $^{-2}$  


 ${g_{bw}}$ 
Boundary layer conductance to water vapour 
m  s $^{-1}$  


 ${g_{bw,mol}}$ 
Boundary layer conductance to water vapour 
mol  m $^{-2}$   s $^{-1}$  


 $g_{\mathit{sp}}$ 
Diffusive conductance of a stomatal pore
mol  m $^{-2}$   s $^{-1}$  


 ${g_{sw}}$ 
Stomatal conductance to water vapour
m  s $^{-1}$  


 ${g_{sw,mol}}$ 
Stomatal conductance to water vapour
mol  m $^{-2}$   s $^{-1}$  


 ${g_{tw}}$ 
Total leaf conductance to water vapour
m  s $^{-1}$  


 ${g_{tw,mol}}$ 
Total leaf layer conductance to water vapour
mol  m $^{-2}$   s $^{-1}$  


 $\gamma_{v}$ 
Psychrometric constant
Pa  K $^{-1}$  


 $h_{c}$ 
Average 1-sided convective transfer coefficient
J  K $^{-1}$   m $^{-2}$   s $^{-1}$  


 $H_{l}$ 
Sensible heat flux from leaf
J  m $^{-2}$   s $^{-1}$  


 $k_{a}$ 
Thermal conductivity of dry air
J  K $^{-1}$   m $^{-1}$   s $^{-1}$  


 ${k_{dv}}$ 
Ratio  $D_{va}/V_m$ 
mol  m $^{-1}$   s $^{-1}$  


 $L_{l}$ 
Characteristic length scale for convection (size of leaf)
m 


 $l_{p}$ 
Pore length
m 


 $\lambda_{E}$ 
Latent heat of evaporation (2.45e6)
J  kg $^{-1}$  


 $M_{N_{2}}$ 
Molar mass of nitrogen (0.028)
kg  mol $^{-1}$  


 $M_{O_{2}}$ 
Molar mass of oxygen (0.032)
kg  mol $^{-1}$  


 $M_{w}$ 
Molar mass of water (0.018)
kg  mol $^{-1}$  


 ${N_{Gr_L}}$ 
Grashof number
1 


 ${N_{Le}}$ 
Lewis number
1 


 $n_{\mathit{MU}}$ 
n=2 for hypostomatous, n=1 for amphistomatous leaves
1 


 ${N_{Nu_L}}$ 
Nusselt number
1 


 $n_{p}$ 
Pore density
 m $^{-2}$  


 ${N_{Re_c}}$ 
Critical Reynolds number for the onset of turbulence
1 


 ${N_{Re_L}}$ 
Reynolds number
1 


 ${N_{Sh_L}}$ 
Sherwood number
1 


 $\nu_{a}$ 
Kinematic viscosity of dry air
 m $^{2}$   s $^{-1}$  


 $P_{a}$ 
Air pressure
Pa 


 ${P_{N2}}$ 
Partial pressure of nitrogen in the atmosphere
Pa 


 ${P_{O2}}$ 
Partial pressure of oxygen in the atmosphere
Pa 


 ${P_{wa}}$ 
Vapour pressure in the atmosphere
Pa 


 ${P_{was}}$ 
Saturation vapour pressure at air temperature
Pa 


 ${P_{wl}}$ 
Vapour pressure inside the leaf
Pa 


 ${N_{Pr}}$ 
Prandtl number (0.71)
1 


 $r_{a}$ 
One-sided boundary layer resistance to heat transfer ( $r_H$  in \citet[][P. 231]{monteith_principles_2013})
s  m $^{-1}$  


 ${r_{bw}}$ 
Boundary layer resistance to water vapour, inverse of  $g_{bw}$ 
s  m $^{-1}$  


 ${r_{bw,mol}}$ 
Leaf BL resistance in molar units
s  m $^{2}$   mol $^{-1}$  


 $r_{\mathit{end}}$ 
End correction, representing resistance between evaporating sites and pores
s  m $^{2}$   mol $^{-1}$  


 ${R_{ll}}$ 
Longwave radiation away from leaf
J  m $^{-2}$   s $^{-1}$  


 ${R_{mol}}$ 
Molar gas constant (8.314472)
J  K $^{-1}$   mol $^{-1}$  


 $r_{p}$ 
Pore radius (for ellipsoidal pores, half the pore width)
m 


 $R_{s}$ 
Solar shortwave flux
J  m $^{-2}$   s $^{-1}$  


 $r_{s}$ 
Stomatal resistance to water vapour \citep[][P. 231]{monteith_principles_2013}
s  m $^{-1}$  


 $r_{\mathit{sp}}$ 
Diffusive resistance of a stomatal pore
s  m $^{2}$   mol $^{-1}$  


 ${r_{sw}}$ 
Stomatal resistance to water vapour, inverse of  $g_{sw}$ 
s  m $^{-1}$  


 ${r_{tw}}$ 
Total leaf resistance to water vapour,  $r_{bv} + r_{sv}$ 
s  m $^{-1}$  


 ${r_{v}}$ 
Leaf BL resistance to water vapour, \citep[][Eq. 13.16]{monteith_principles_2013}
s  m $^{-1}$  


 $r_{\mathit{vs}}$ 
Diffusive resistance of a stomatal vapour shell
s  m $^{2}$   mol $^{-1}$  


 $\rho_{a}$ 
Density of dry air
kg  m $^{-3}$  


 $\rho_{\mathit{al}}$ 
Density of air at the leaf surface
kg  m $^{-3}$  


 $S$ 
Factor representing stomatal resistance in \citet{penman_physical_1952}
1 


 $s_{p}$ 
Spacing between stomata
m 


 ${\sigma}$ 
Stefan-Boltzmann constant (5.67e-8)
J  K $^{-4}$   m $^{-2}$   s $^{-1}$  


 $T_{a}$ 
Air temperature
K 


 $T_{l}$ 
Leaf temperature
K 


 $T_{w}$ 
Radiative temperature of objects surrounding the leaf
K 


 $V_{m}$ 
Molar volume of air
 m $^{3}$   mol $^{-1}$  


 $v_{w}$ 
Wind velocity
m  s $^{-1}$



In [5]:

    
latex(table(tabledata))









    Out[5]:





\begin{tabular}{lll}
Variable & Description (value) & Units \\
$A_{p}$ & Cross-sectional pore area &  m$^{2}$  \\
$a_{s}$ & Fraction of one-sided leaf area covered by stomata (1 if stomata are on one side only, 2 if they are on both sides) & 1  \\
${a_{sh}}$ & Fraction of projected area exchanging sensible heat with the air (2) & 1  \\
$\alpha_{a}$ & Thermal diffusivity of dry air &  m$^{2}$  s$^{-1}$  \\
$B_{l}$ & Boundary layer thickness & m  \\
${\beta_B}$ & Bowen ratio (sensible/latent heat flux) & 1  \\
$c_{E}$ & Latent heat transfer coefficient & J  Pa$^{-1}$  m$^{-2}$  s$^{-1}$  \\
$c_{H}$ & Sensible heat transfer coefficient & J  K$^{-1}$  m$^{-2}$  s$^{-1}$  \\
${c_{pa}}$ & Specific heat of dry air (1010)  & J  K$^{-1}$  kg$^{-1}$  \\
${C_{wa}}$ & Concentration of water in the free air  & mol  m$^{-3}$  \\
${C_{wl}}$ & Concentration of water in the leaf air space  & mol  m$^{-3}$  \\
$d_{p}$ & Pore depth & m  \\
${D_{va}}$ & Binary diffusion coefficient of water vapour in air &  m$^{2}$  s$^{-1}$  \\
${\Delta_{eTa}}$ & Slope of saturation vapour pressure at air temperature & Pa  K$^{-1}$  \\
$E_{l}$ & Latent heat flux from leaf & J  m$^{-2}$  s$^{-1}$  \\
${E_{l,mol}}$ & Transpiration rate in molar units & mol  m$^{-2}$  s$^{-1}$  \\
$E_{w}$ & Latent heat flux from a wet surface & J  m$^{-2}$  s$^{-1}$  \\
$\epsilon$ & Water to air molecular weight ratio (0.622) & 1  \\
$\epsilon_{l}$ & Longwave emmissivity of the leaf surface (1.0) & 1  \\
$F_{p}$ & Fractional pore area (pore area per unit leaf area) & 1  \\
$f_{u}$ & Wind function in Penman approach, f(u) adapted to energetic units & J  Pa$^{-1}$  m$^{-2}$  s$^{-1}$  \\
$g$ & Gravitational acceleration (9.81) & m  s$^{-2}$  \\
${g_{bw}}$ & Boundary layer conductance to water vapour  & m  s$^{-1}$  \\
${g_{bw,mol}}$ & Boundary layer conductance to water vapour  & mol  m$^{-2}$  s$^{-1}$  \\
$g_{\mathit{sp}}$ & Diffusive conductance of a stomatal pore & mol  m$^{-2}$  s$^{-1}$  \\
${g_{sw}}$ & Stomatal conductance to water vapour & m  s$^{-1}$  \\
${g_{sw,mol}}$ & Stomatal conductance to water vapour & mol  m$^{-2}$  s$^{-1}$  \\
${g_{tw}}$ & Total leaf conductance to water vapour & m  s$^{-1}$  \\
${g_{tw,mol}}$ & Total leaf layer conductance to water vapour & mol  m$^{-2}$  s$^{-1}$  \\
$\gamma_{v}$ & Psychrometric constant & Pa  K$^{-1}$  \\
$h_{c}$ & Average 1-sided convective transfer coefficient & J  K$^{-1}$  m$^{-2}$  s$^{-1}$  \\
$H_{l}$ & Sensible heat flux from leaf & J  m$^{-2}$  s$^{-1}$  \\
$k_{a}$ & Thermal conductivity of dry air & J  K$^{-1}$  m$^{-1}$  s$^{-1}$  \\
${k_{dv}}$ & Ratio $D_{va}/V_m$ & mol  m$^{-1}$  s$^{-1}$  \\
$L_{l}$ & Characteristic length scale for convection (size of leaf) & m  \\
$l_{p}$ & Pore length & m  \\
$\lambda_{E}$ & Latent heat of evaporation (2.45e6) & J  kg$^{-1}$  \\
$M_{N_{2}}$ & Molar mass of nitrogen (0.028) & kg  mol$^{-1}$  \\
$M_{O_{2}}$ & Molar mass of oxygen (0.032) & kg  mol$^{-1}$  \\
$M_{w}$ & Molar mass of water (0.018) & kg  mol$^{-1}$  \\
${N_{Gr_L}}$ & Grashof number & 1  \\
${N_{Le}}$ & Lewis number & 1  \\
$n_{\mathit{MU}}$ & n=2 for hypostomatous, n=1 for amphistomatous leaves & 1  \\
${N_{Nu_L}}$ & Nusselt number & 1  \\
$n_{p}$ & Pore density &  m$^{-2}$  \\
${N_{Re_c}}$ & Critical Reynolds number for the onset of turbulence & 1  \\
${N_{Re_L}}$ & Reynolds number & 1  \\
${N_{Sh_L}}$ & Sherwood number & 1  \\
$\nu_{a}$ & Kinematic viscosity of dry air &  m$^{2}$  s$^{-1}$  \\
$P_{a}$ & Air pressure & Pa  \\
${P_{N2}}$ & Partial pressure of nitrogen in the atmosphere & Pa  \\
${P_{O2}}$ & Partial pressure of oxygen in the atmosphere & Pa  \\
${P_{wa}}$ & Vapour pressure in the atmosphere & Pa  \\
${P_{was}}$ & Saturation vapour pressure at air temperature & Pa  \\
${P_{wl}}$ & Vapour pressure inside the leaf & Pa  \\
${N_{Pr}}$ & Prandtl number (0.71) & 1  \\
$r_{a}$ & One-sided boundary layer resistance to heat transfer ($r_H$ in \citet[][P. 231]{monteith_principles_2013}) & s  m$^{-1}$  \\
${r_{bw}}$ & Boundary layer resistance to water vapour, inverse of $g_{bw}$ & s  m$^{-1}$  \\
${r_{bw,mol}}$ & Leaf BL resistance in molar units & s  m$^{2}$  mol$^{-1}$  \\
$r_{\mathit{end}}$ & End correction, representing resistance between evaporating sites and pores & s  m$^{2}$  mol$^{-1}$  \\
${R_{ll}}$ & Longwave radiation away from leaf & J  m$^{-2}$  s$^{-1}$  \\
${R_{mol}}$ & Molar gas constant (8.314472) & J  K$^{-1}$  mol$^{-1}$  \\
$r_{p}$ & Pore radius (for ellipsoidal pores, half the pore width) & m  \\
$R_{s}$ & Solar shortwave flux & J  m$^{-2}$  s$^{-1}$  \\
$r_{s}$ & Stomatal resistance to water vapour \citep[][P. 231]{monteith_principles_2013} & s  m$^{-1}$  \\
$r_{\mathit{sp}}$ & Diffusive resistance of a stomatal pore & s  m$^{2}$  mol$^{-1}$  \\
${r_{sw}}$ & Stomatal resistance to water vapour, inverse of $g_{sw}$ & s  m$^{-1}$  \\
${r_{tw}}$ & Total leaf resistance to water vapour, $r_{bv} + r_{sv}$ & s  m$^{-1}$  \\
${r_{v}}$ & Leaf BL resistance to water vapour, \citep[][Eq. 13.16]{monteith_principles_2013} & s  m$^{-1}$  \\
$r_{\mathit{vs}}$ & Diffusive resistance of a stomatal vapour shell & s  m$^{2}$  mol$^{-1}$  \\
$\rho_{a}$ & Density of dry air & kg  m$^{-3}$  \\
$\rho_{\mathit{al}}$ & Density of air at the leaf surface & kg  m$^{-3}$  \\
$S$ & Factor representing stomatal resistance in \citet{penman_physical_1952} & 1  \\
$s_{p}$ & Spacing between stomata & m  \\
${\sigma}$ & Stefan-Boltzmann constant (5.67e-8) & J  K$^{-4}$  m$^{-2}$  s$^{-1}$  \\
$T_{a}$ & Air temperature & K  \\
$T_{l}$ & Leaf temperature & K  \\
$T_{w}$ & Radiative temperature of objects surrounding the leaf & K  \\
$V_{m}$ & Molar volume of air &  m$^{3}$  mol$^{-1}$  \\
$v_{w}$ & Wind velocity & m  s$^{-1}$  \\
\end{tabular}



In [ ]:

Variable	Description (value)	Units
$A_{p}$	Cross-sectional pore area	m $^{2}$
$a_{s}$	Fraction of one-sided leaf area covered by stomata (1 if stomata are on one side only, 2 if they are on both sides)	1
${a_{sh}}$	Fraction of projected area exchanging sensible heat with the air (2)	1
$\alpha_{a}$	Thermal diffusivity of dry air	m $^{2}$ s $^{-1}$
$B_{l}$	Boundary layer thickness	m
${\beta_B}$	Bowen ratio (sensible/latent heat flux)	1
$c_{E}$	Latent heat transfer coefficient	J Pa $^{-1}$ m $^{-2}$ s $^{-1}$
$c_{H}$	Sensible heat transfer coefficient	J K $^{-1}$ m $^{-2}$ s $^{-1}$
${c_{pa}}$	Specific heat of dry air (1010)	J K $^{-1}$ kg $^{-1}$
${C_{wa}}$	Concentration of water in the free air	mol m $^{-3}$
${C_{wl}}$	Concentration of water in the leaf air space	mol m $^{-3}$
$d_{p}$	Pore depth	m
${D_{va}}$	Binary diffusion coefficient of water vapour in air	m $^{2}$ s $^{-1}$
${\Delta_{eTa}}$	Slope of saturation vapour pressure at air temperature	Pa K $^{-1}$
$E_{l}$	Latent heat flux from leaf	J m $^{-2}$ s $^{-1}$
${E_{l,mol}}$	Transpiration rate in molar units	mol m $^{-2}$ s $^{-1}$
$E_{w}$	Latent heat flux from a wet surface	J m $^{-2}$ s $^{-1}$
$\epsilon$	Water to air molecular weight ratio (0.622)	1
$\epsilon_{l}$	Longwave emmissivity of the leaf surface (1.0)	1
$F_{p}$	Fractional pore area (pore area per unit leaf area)	1
$f_{u}$	Wind function in Penman approach, f(u) adapted to energetic units	J Pa $^{-1}$ m $^{-2}$ s $^{-1}$
$g$	Gravitational acceleration (9.81)	m s $^{-2}$
${g_{bw}}$	Boundary layer conductance to water vapour	m s $^{-1}$
${g_{bw,mol}}$	Boundary layer conductance to water vapour	mol m $^{-2}$ s $^{-1}$
$g_{\mathit{sp}}$	Diffusive conductance of a stomatal pore	mol m $^{-2}$ s $^{-1}$
${g_{sw}}$	Stomatal conductance to water vapour	m s $^{-1}$
${g_{sw,mol}}$	Stomatal conductance to water vapour	mol m $^{-2}$ s $^{-1}$
${g_{tw}}$	Total leaf conductance to water vapour	m s $^{-1}$
${g_{tw,mol}}$	Total leaf layer conductance to water vapour	mol m $^{-2}$ s $^{-1}$
$\gamma_{v}$	Psychrometric constant	Pa K $^{-1}$
$h_{c}$	Average 1-sided convective transfer coefficient	J K $^{-1}$ m $^{-2}$ s $^{-1}$
$H_{l}$	Sensible heat flux from leaf	J m $^{-2}$ s $^{-1}$
$k_{a}$	Thermal conductivity of dry air	J K $^{-1}$ m $^{-1}$ s $^{-1}$
${k_{dv}}$	Ratio $D_{va}/V_m$	mol m $^{-1}$ s $^{-1}$
$L_{l}$	Characteristic length scale for convection (size of leaf)	m
$l_{p}$	Pore length	m
$\lambda_{E}$	Latent heat of evaporation (2.45e6)	J kg $^{-1}$
$M_{N_{2}}$	Molar mass of nitrogen (0.028)	kg mol $^{-1}$
$M_{O_{2}}$	Molar mass of oxygen (0.032)	kg mol $^{-1}$
$M_{w}$	Molar mass of water (0.018)	kg mol $^{-1}$
${N_{Gr_L}}$	Grashof number	1
${N_{Le}}$	Lewis number	1
$n_{\mathit{MU}}$	n=2 for hypostomatous, n=1 for amphistomatous leaves	1
${N_{Nu_L}}$	Nusselt number	1
$n_{p}$	Pore density	m $^{-2}$
${N_{Re_c}}$	Critical Reynolds number for the onset of turbulence	1
${N_{Re_L}}$	Reynolds number	1
${N_{Sh_L}}$	Sherwood number	1
$\nu_{a}$	Kinematic viscosity of dry air	m $^{2}$ s $^{-1}$
$P_{a}$	Air pressure	Pa
${P_{N2}}$	Partial pressure of nitrogen in the atmosphere	Pa
${P_{O2}}$	Partial pressure of oxygen in the atmosphere	Pa
${P_{wa}}$	Vapour pressure in the atmosphere	Pa
${P_{was}}$	Saturation vapour pressure at air temperature	Pa
${P_{wl}}$	Vapour pressure inside the leaf	Pa
${N_{Pr}}$	Prandtl number (0.71)	1
$r_{a}$	One-sided boundary layer resistance to heat transfer ( $r_H$ in \citet[][P. 231]{monteith_principles_2013})	s m $^{-1}$
${r_{bw}}$	Boundary layer resistance to water vapour, inverse of $g_{bw}$	s m $^{-1}$
${r_{bw,mol}}$	Leaf BL resistance in molar units	s m $^{2}$ mol $^{-1}$
$r_{\mathit{end}}$	End correction, representing resistance between evaporating sites and pores	s m $^{2}$ mol $^{-1}$
${R_{ll}}$	Longwave radiation away from leaf	J m $^{-2}$ s $^{-1}$
${R_{mol}}$	Molar gas constant (8.314472)	J K $^{-1}$ mol $^{-1}$
$r_{p}$	Pore radius (for ellipsoidal pores, half the pore width)	m
$R_{s}$	Solar shortwave flux	J m $^{-2}$ s $^{-1}$
$r_{s}$	Stomatal resistance to water vapour \citep[][P. 231]{monteith_principles_2013}	s m $^{-1}$
$r_{\mathit{sp}}$	Diffusive resistance of a stomatal pore	s m $^{2}$ mol $^{-1}$
${r_{sw}}$	Stomatal resistance to water vapour, inverse of $g_{sw}$	s m $^{-1}$
${r_{tw}}$	Total leaf resistance to water vapour, $r_{bv} + r_{sv}$	s m $^{-1}$
${r_{v}}$	Leaf BL resistance to water vapour, \citep[][Eq. 13.16]{monteith_principles_2013}	s m $^{-1}$
$r_{\mathit{vs}}$	Diffusive resistance of a stomatal vapour shell	s m $^{2}$ mol $^{-1}$
$\rho_{a}$	Density of dry air	kg m $^{-3}$
$\rho_{\mathit{al}}$	Density of air at the leaf surface	kg m $^{-3}$
$S$	Factor representing stomatal resistance in \citet{penman_physical_1952}	1
$s_{p}$	Spacing between stomata	m
${\sigma}$	Stefan-Boltzmann constant (5.67e-8)	J K $^{-4}$ m $^{-2}$ s $^{-1}$
$T_{a}$	Air temperature	K
$T_{l}$	Leaf temperature	K
$T_{w}$	Radiative temperature of objects surrounding the leaf	K
$V_{m}$	Molar volume of air	m $^{3}$ mol $^{-1}$
$v_{w}$	Wind velocity	m s $^{-1}$