Balancing the costs of carbon gain and water transport: Testing a new theoretical framework for plant functional ecology

A novel framework is presented for the analysis of ecophysiological field measurements and modelling. The hypothesis 'leaves minimise the summed unit costs of transpiration and carboxylation' predicts leaf-internal/ambient CO₂ ratios (c_i/c_a) and slopes of maximum carboxylation rate (V_cmax) or leaf nitrogen (N_area) vs. stomatal conductance. Analysis of data on woody species from contrasting climates (cold-hot, dry-wet) yielded steeper slopes and lower mean c_i/c_a ratios at the dry or cold sites than at the wet or hot sites. High atmospheric vapour pressure deficit implies low c_i/c_a in dry climates. High water viscosity (more costly transport) and low photorespiration (less costly photosynthesis) imply low c_i/c_a in cold climates. Observed site-mean c_i/c_a shifts are predicted quantitatively for temperature contrasts (by photorespiration plus viscosity effects) and approximately for aridity contrasts. The theory explains the dependency of c_i/c_a ratios on temperature and vapour pressure deficit, and observed relationships of leaf δ¹³C and N_area to aridity.