Predicting stomatal responses to the environment from the optimization of photosynthetic gain and hydraulic cost

Abstract

Stomatal regulation presumably evolved to optimize CO₂ for H₂ O exchange in response to changing conditions. If the optimization criterion can be readily measured or calculated, then stomatal responses can be efficiently modelled without recourse to empirical models or underlying mechanism. Previous efforts have been challenged by the lack of a transparent index for the cost of losing water. Yet it is accepted that stomata control water loss to avoid excessive loss of hydraulic conductance from cavitation and soil drying. Proximity to hydraulic failure and desiccation can represent the cost of water loss. If at any given instant, the stomatal aperture adjusts to maximize the instantaneous difference between photosynthetic gain and hydraulic cost, then a model can predict the trajectory of stomatal responses to changes in environment across time. Results of this optimization model are consistent with the widely used Ball-Berry-Leuning empirical model (r² > 0.99) across a wide range of vapour pressure deficits and ambient CO₂ concentrations for wet soil. The advantage of the optimization approach is the absence of empirical coefficients, applicability to dry as well as wet soil and prediction of plant hydraulic status along with gas exchange.

Keywords: Ball-Berry-Leuning model; Cowan-Farquhar optimization; hydraulic limitations; photosynthetic optimization; plant drought responses; plant gas exchange; stomatal modelling; stomatal regulation; xylem cavitation.