Table 2.

Models of photosynthesis-irradiance response with associated equations, citations, and a list of parameters.

Model	Equation	Parameters	Citation
Eilers and Peeters	$\text{μ}=\frac{2\cdot {\text{μ}}_{\max }\left(1+\text{β}\right)\frac{\text{I}}{{\text{I}}_{\text{S}}}}{{\left(\frac{\text{I}}{{\text{I}}_{\text{S}}}\right)}^2+2\cdot \frac{\text{I}}{{\text{I}}_{\text{S}}}\cdot \text{β}+1}$	μ ≡ specific growth rate [d-1] I ≡ light intensity [μE·m-2·s-1] μmax ≡ maximum specific growth rate [d-1] Is ≡ optimum irradiance [μE·m-2·s-1] β ≡ attenuation coefficient [-]	Peeters and Eilers (1978)
Monod	$\text{μ}={\text{μ}}_{\text{max}}\frac{\text{I}}{{\text{K}}_{\text{I}}+\text{I}}$	KI ≡ half saturation intensity [μE·m-2·s-1]	Monod (1949)
Platt and Jassby	$\text{μ}{=\text{μ}}_{\max }\cdot \tanh \left(\frac{\text{αI}}{{\text{μ}}_{\max }}\right)$	α ≡ initial slope of PI curve [m2·μE-1]	Jassby and Platt (1976)
Poisson single hit model	$\text{μ}{=\text{μ}}_{\max }\left(1-{\text{e}}^{-\frac{\text{I}}{{\text{K}}_{\text{I}}}}\right)$	KI ≡ light saturation [μE·m-2·s-1]	(Poisson, 1837)
Smith	$\text{μ}={\text{μ}}_{\text{max}}\frac{\text{αI}}{\sqrt{{\text{μ}}_{\max }^2+{\left(\text{αI}\right)}^2}}$	α ≡ initial slope of PI curve [m2·μE-1]	Smith (1936)
Steele	$\text{μ}={\text{μ}}_{\text{max}}\text{αI}\cdot {\text{e}}^{\left(1-\text{αI}\right)}$	α ≡ initial slope of PI curve [m2·μE-1·s]	Steele (1962)