Table 1. Model parameters.

Parameter description	Notation	Unit	Value	Reference
Optical and photosynthetic parameters
Background extinction	σ bg	m-1	0.06	This work
Extinction coefficient of semi-labile DOM	σ sl	m2 (mg C)-1	1 E-5	This work
Extin. coeff. of POM	σ POM	m2 (mg C)-1	1 E-4	[21]
Extin. coeff. of algal biomass	σ P	m2 (mg C)-1	4 E-4	[21]
Max. spec. photosynthetic rate	r ass	d-1	1.5	[21]
Max. Chl/C cell ratio	θ max	mg Chl (mg C)-1	0.02	[37]
Initial slope of PI-curve	α	mg C m2 (mg Chl W d)-1	2.5	This work
Photo-inhibition parameter	β	mg C m2 (mg Chl W d)-1	0.04	This work
Other algal parameters
Q10 parameter	Q 10	-	2	[21]
Basal respiration rate	r B.res	d-1	0.01	This work
Minimum lysis rate	r lys	d-1	0.005	This work
Respired fraction of PP	r A.res	-	0.25	[21]
Fraction of excreted carbon	p A.exu	-	0.2	This work
Minimum N/C ratio	Q Nmin	mmol N (mg C)-1	0.003	This work
Redfield N/C ratio	Q NRed	mmol N (mg C)-1	7.862 E-4	[17]
Minimum P/C ratio	Q Pmin	mmol P (mg C)-1	1.5 E-4	This work
Redfield P/C ratio	Q PRed	mmol P (mg C)-1	1.26 E-2	[17]
Min. N/C ratio for Chl synthesis	$Q_{Nmin}^{chl}$	mmol N (mg C)-1	0.00687	This work
Min. P/C ratio for Chl. Synthesis	$Q_{Pmin}^{chl}$	mmol P (mg C)-1	4.288 E-4	This work
Affinity for NO3 -	a N3	m3 (mg C)-1 d-1	0.01	This work
Affinity for NH4 +	a N4	m3 (mg C)-1 d-1	0.01	This work
Affinity for PO4 3-	a p	m3 (mg C)-1 d-1	0.01	This work
N-stress threshold	S N	-	0.6	This work
P-stress threshold	S P	-	0.6	This work
N-threshold for max. uptake	$s_N^{upt}$	-	0.95	This work
P-threshold for max. uptake	$s_P^{upt}$	-	1.2	This work
N-stress threshold for chlorophyll synthesis	$s_N^{chl}$	-	0.95	This work
P-stress threshold for chlorophyll synthesis	$s_P^{chl}$	-	1.2	This work
N-stress threshold for respiration decrease	$s_N^{res}$	-	0.56	This work
P-stress threshold for respiration decrease	$s_P^{res}$	-	0.51	This work
Carbon fraction invested in basal toxin production	Q Tmin	-	0.001	This work
Maximum tox:C ratio	Q Tmax	-	0.003	This work
Carbon fraction invested in toxin production under nutrient stress	φ	d-1	0.0025	This work
Bacterial and organic matter parameters
Q10 parameter for bacteria	Q 10B	-	2	[21]
Max spec. uptake rate	$r_{ass}^B$	d-1	4	[21]
Respired fraction of uptake	$r_{A.res}^B$	-	0.6	This work
Respired fraction of uptake under low oxygen	$r_{resox}^B$	-	0.2	[21]
Basal respiration at 10°C	$r_{B.res}^B$	d-1	0.05	This work
Mortality rate	$r_{lys}^B$	d-1	0.05	[21]
Half saturation constant for oxygen limitation	h ox	-	0.312	[21]
Maximum N/C ratio	$Q_{Nmax}^B$	mmol N (mg C)-1	0.017	[39]
Maximum P/C ratio	$Q_{Pmax}^B$	mmol P (mg C)-1	0.0018	[39]
Half saturation constant for NH4 uptake	h N	mmol N m-3	0.5	[21]
Half saturation constant for PO4 uptake	h p	mmol P m-3	0.2	This work
Fraction of labile DOM derived from lysis and exudation	r detr	-	0.25	This work
Breakdown of semi-labile to labile DOM	r dis	d-1	0.01	This work
Toxin degradation rate	t deg	d-1	0.1	This work