Qualitative effects of patchy stomatal conductance distribution features on gas-exchange calculations

The qualitative influence of patchy stomatal conductance distributions on the values of photosynthesis (A) and intercellular CO₂ concentration (c_i) as determined by gas-exchange measurements were investigated using computer modelling. Gas-exchange measurements were simulated for different conductance distributions by modelling photosynthesis explicitly for each patch, summing these rates, and inferring c_i from a diffusion equation. Qualitative relationships are presented between conductance distribution features and the difference between assimilation rates measured for patchy and homogeneous leaves at the same c_i (A_p and A_h, respectively). These data show that, although most conductance distributions have little effect on the value of A measured for a given c_i, some distribution features (which we have termed ‘bimodality’, ‘position’, ‘skewness’ and ‘range’) play a key role in controlling the magnitude of these effects. Distributions that are more nearly bimodal, span regions of lower conductance, are right-skewed, or have broader conductance ranges are associated with larger effects on the A(c_i) relationship. To clarify our mathematical analysis and illustrate some of the trends it predicts, we present conductance distributions and gas-exchange data from leaves of Malus dolgo var. Spring Snow Dial were treated with ABA. The results are discussed in the light of recent controversy over the effect of patchy stomatal conductance on gas-exchange data.