Equations of the phytoplankton growth model.
The phytoplankton growth is given by the five following equations, where A stands for pp,
np or mp.
µA = µmaxA limIA limTA (limNO3 A + limNH4 A )
NO3
exp(−ΨNH4 )
limNO3 A =
NO3 + KNO3 A
NH4
limNH4 A =
NH4 + KNH4 A
2(1 + βIA ) IPAR
optA
limIA =
PAR 2
PAR
+ 2βIA IoptA + 1
IoptA


T −TletA
2(1 + βTA ) ToptA
−TletA
limTA = max  T −T
, 0
2
T −TletA
letA
+ 2βIA ToptA −TletA + 1
ToptA −TletA
where the parameters are defined in the following table
parameter
µA
µmaxA
limNO3 A
limNH4 A
KNO3 A
KNH4 A
Ψ
NO3
NH4
limIA
βIA
IoptA
PAR
limTA
βTA
ToptA
TletA
T
definition
growth rate of A
maximum growth rate of A
limitation by NO3 for A
limitation by NH4 for A
half-saturation coefficient of NO3 for A
half-saturation coefficient of NH4 for A
inhibition coefficient by NH4
NO3 concentration
NH4 concentration
limitation by light for A
shape factor for photoinhibition curve
optimum insolation for A
photosynthetic active radiation
limitation by temperature for A
shape factor for thermoinhibition curve
optimum temperature for A
lower lethal temperature for A
temperature
Table 1: Parameters of the phytoplankton growth model
1