“…The d 13 C in tree-ring cellulose (d 13 C tree-ring ) can be used to document changes in the intrinsic water use efficiency, defined as the ratio of leaf CO 2 assimilation (A) to stomatal conductance (g s ) (L evesque et al, 2014;Saurer et al, 2014;Frank et al, 2015). Some studies found that d 13 C tree-ring was unaffected by thinning, implying either that g s and A did not change or that they changed with the same magnitude, that is, the ratio A/g s remained constant (Martin-Benito et al, 2010;Powers et al, 2010;Brooks & Mitchell, 2011;Moreno-Gutierrez et al, 2011). In this case, it can be useful to include d 18 O data, as they are strongly constrained by the isotopic ratio of the source (xylem) water (Roden et al, 2000), and they also integrate the stomatal response to vapour pressure deficit (VPD) via leaf water isotopic enrichment (Yakir & DeNiro, 1990;Barbour et al, 2004;Treydte et al, 2014).…”