“…These biological processes include the following: (a) microbial P uptake, with ε of about −3‰ (Blake et al, 2005; Gross et al, 2015); (b) phosphoester hydrolysis by various types of phosphoenzymes (e.g., alkaline and acid phosphatase, DNase, RNase, 5'‐nucleotidase, and phytases), with ε varying between −30 and + 20‰ (Liang & Blake, 2006, 2009; von Sperber, Kries, Tamburini, Bernasconi, & Frossard, 2014); and (c) microbial hydrolysis of diphosphate by inorganic pyrophosphatase, with ε as defined by Eq. (4) at equilibration with water and soil temperature (Figure 1) (Chang & Blake, 2015; Granger et al, 2018; Pistocchi et al, 2017). where Eδ 18 O PO4 is the 18 O/ 16 O ratio of phosphate at equilibration with water catalyzed by inorganic pyrophosphatase, T is temperature in °C, and δ 18 O H2O is the δ 18 O of ambient water.…”