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Table S2. Parameters for the sea ice biogeochemical model. Symbol
Description
Unit
Default value
Reference
ia / Pmia
Ratio of (μmol photons 0.44 photosynthetic m–2 s–1)–1 parameters (photosynthetic efficiency and maximum photosynthetic rate) for IA
Within the range of Lavoie et al. (2005)
bia
Temperature (◦C)–1 sensitivity coefficient for ice algal growth
0.0633
Lavoie (2005)
et
al.
Cice
Critical ice m d–1 growth/melt rate
0.015
Lavoie (2005)
et
al.
Cio
Drag coefficient at the ice-ocean interface
0.0054
Shirasawa and Ingram (1997)
D
Molecular m2 s–1 diffusivity for nutrients at the ice-water interface
0.47× 10–9
Rebreanu et al. (2008)
flia
Fraction of ice algae linear mortality that goes to NH4
0.3
This study
fseed
Fraction of ice algae sloughing that contributes to P2 seeding
0.1
Lavoie (2009)
et
al.
kn
Half-saturation mmol N m–3 constant for nitrogen uptake
1
Lavoie (2005)
et
al.
ks
Half-saturation mmol Si m–3 constant for silicon uptake
4
Lavoie (2005)
et
al.
mlia
Rate constant for d–1
0.03
This study
ice algae linear mortality mqia
Rate constant of d–1 (mmol N m–3 0.00015 ice algae d–1)–1 quadratic mortality
This study
iamax
Maximum d–1 specific ice algal growth rate
0.85
Lavoie (2005)
et
al.
qsi2n
Intracellular silicon-tonitrogen ratio
1.7
Mundy (2014)
et
al.
rpond
Melt pond m d–1 drainage rate
0.0175
Taylor and Feltham (2003)
rnit
Nitrification rate d–1 constant in sea ice
0.01
This study
vn
Scale factor for mmol N m–3 nitrogen preferance function
0.2
Denman (2003)
ν
Kinematic viscosity seawater
1.85×10–6
Lavoie (2005)
This study
mol Si:mol N
m2s–1 of
zia
Thickness of the m ice skeletal layer
0.03
zoc
Thickness of the m ocean vertical grid
1
et
al.
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