Photosynthesis–Irradiance Response at Physiological Level: a Mechanistic Model

A mechanistic model is developed to present the photosynthetic response of phytoplankton to irradiance at the physiological level. The model is operated on photosynthetic units (PSU), and each PSU is assumed to have two states: reactive and activated. Light absorption that drives a reactive PSU into the activated state results from the effective absorption of the PSU. Transitions between the two states are asymmetrical in rate. A PSU in the reactive state becomes activated much faster than it recovers from the activated state to the reactive one. The turnover time for an activated PSU to transit into the reactive one is defined by the turnover time of the electron transport chain. The present model yields a photosynthesis–irradiance curve (PE-curve) in a hyperbola, which is described by three physiological parameters: effective cross-section (σPSII), turnover time of electron transport chain (τ) and number of PSUs (N). The PE-curve has an initial slope of σPSII×N, a half-saturated irradiance of 1/(τσPSII), and a maximal photosynthetic rate of N/τ at the saturated irradiance. The PE-curve from the present model is comparable to the empirical function based on the target theory described by the Poisson distribution.