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k 83
=
dissolved organic phosphorus mineralization rate constant at 20
°
C [day −1 ]
θ 83
=
dissolved organic phosphorus mineralization temperature coefficient [none]
T
=
water temperature [
°
C]
K m PC
=
half-saturation constant for recycle [mg C l −1 ]
C 8
=
organic phosphorus concentration [mg P l −1 ]
G P 1
=
specific growth rate constant of phytoplankton [day −1 ]
4.1.5.2.2
Phytoplankton Phosphorus
(
Ca
t
)
v
D
4
PC
=
Ga C Da C
S
4
aC
(4.30)
144144
P
1
PC
4
P
1
PC
4
PC
4
144
Growth
Death
Settling
where
C 4
=
phytoplankton carbon concentration [mg C l −1 ]
a PC
=
phosphorus to carbon ratio [mg P mg −1 C]
G P 1
=
specific growth rate constant of phytoplankton [day −1 ]
D P 1
=
death plus respiration rate constant of phytoplankton [day −1 ]
V s 4
=
net settling velocity of phytoplankton [m day −1 ]
D
=
depth of segment [m]
4.1.5.2.3
Organic Phosphorus
()
C
t
C
KC C
v
(
1
f
)
(
T
20
)
8
=
Da f C k
θ
4
S
3
D
8
C
(4.31)
12
443
44
P
1
PC
OP
4
83
83
8
8
+
D
12
443
44
m
Pc
4
12
4444
4444
3
Death
Settling
Mineralization
where
C 8 =
organic phosphorus concentration [mg P l −1 ]
D P 1 =
death plus respiration rate constant of phytoplankton [day −1 ]
a PC =
phosphorus to carbon ratio [mg P mg −1 C]
f OP =
fraction of dead and respired phytoplankton recycled to the organic
phosphorus pool [none]
C 4 =
phytoplankton carbon concentration [mg C l −1 ]
k 83 =
dissolved organic phosphorus mineralization constant at 20
°
C [day −1 ]
θ 83 =
dissolved organic phosphorus mineralization temperature coefficient [none]
T
=
water temperature [
°
C]
K m Pc =
half-saturation constant for recycle [mg C l −1 ]
V S 3 =
organic matter settling velocity [m day −1 ]
f D 8 =
fraction dissolved organic phosphorus [none]
1
f D 8 =
fraction particulate organic phosphorus [none]
D
=
depth of segment [m]
 
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