Auxiliary Material for
The triple oxygen isotope tracer of primary productivity in a dynamic ocean model
David P. Nicholson, Rachel H.R. Stanley and Scott C. Doney
(Woods Hole Oceanographic Institution, Woods Hole, Massachussetts)
Global Biogeochemical Cycles, 2014
Introduction
This auxiliary material includes the derivation for the precise formulation of bias correction factors (see Eqs 12 and 13 of main text) in file “text01.doc”. Figure “fs01.eps” shows the temporal evolution of the correction factors and how they compare to total diapycnal model bias.  

1. “test.01.doc” (Appendix1)  Derivation of mixing and entrainment bias terms

2. fs01.eps (Figure A1) Correction factors for mixing (MIX) and entrainment (ENT) are compared to total model diapycnal bias (DIA).  SUM is the sum of MIX and DIA.  RESID is the residual between total correction factors and model diapycnal bias (SUM-DIA).  All biases are in units of mmol O2 m-2 d-1.