The impact of spatial averaging on calculated polar ozone loss: 2. Theoretical analysis

We develop a theoretical framework for investigating the effect of spatial averaging on the rates of chemical reactions. In particular, we study how spatial averaging will affect the calculated rate of ozone depletion due to the ClO dimer (Cl 2 O 2 ) cycle. It is important to note that changes in the partitioning of active chlorine (ClO x ) between ClO and C1 2 O 2 acts to reduce any nonlinearity in O 3 loss due to this cycle. Furthermore, our analysis demonstrates that under conditions of moderate to large chlorine activation within the vortex the effects of averaging small‐scale ClO x inhomogeneities on calculated chemical ozone loss are necessarily small. Spatial averaging, and therefore model spatial resolution, becomes a relatively more important issue under low‐ClO x conditions. These results are consistent with the model results of Searle et al . [this issue] who calculated a very weak dependence on model resolution of O 3 loss in the polar vortex in the Arctic winter 1994–1995.