Erratum to: Constraints on oceanic meridional heat transport from combined measurements of oxygen and carbon (Climate Dynamics, (2016), 47, 9-10, (3335-3357), 10.1007/s00382-016-3029-3)

The original article has been published online with 2 errors. The errors have been corrected as below: 1. The definition of pre-industrial oceanic potential oxygen(OPO_pi) given in Eq. (7) reads: OPO_pi=O₂^*+1.1 × C_pi^* but should appear as: OPO_pi=O₂^*+1.1 × C_pi^*-(1/X_N2)×N₂ where O₂^* and C_pi^* are the quasi-conservative ocean tracer concentrations tracking air–sea exchanges of O₂ and pre-industrial CO₂, N₂ is the dissolved N₂ ocean concentration and X_N2 is the atmospheric mole fraction of N₂ (X_N2 = 0.7808). This definition of OPO_pi and the OPO_pi data shown on Fig. 1 therefore include the changes in OPO due to air–sea fluxes of O₂ and pre-industrial CO₂ but also due to the thermally driven air–sea fluxes of N₂, which are important for understanding changes in pre-industrial atmospheric potential oxygen (APO_pi). Including the N₂ contribution makes OPO_pi a mirror tracer of APO_pi across the air–sea interface, i.e. with equivalent air–sea fluxes. The data based OPO_pi to potential temperature ratio derived from Fig. 1 includes the N₂ contribution and is equal to -3.9 nmol/J. Note that without the N₂ contribution, this ratio would equal -4.4 nmol/J. 2. In Table 1, the isopycnal defining the base of the thermocline reads σ_θ = 24.7 and should read σ_θ = 27.4.