Interrelationships between mixing ratios of long-lived stratospheric constituents
Relationships between the simultaneously measured mixing ratios of certain stratospheric constituents that are sometimes linear are argued to be expected for species of sufficiently long lifetime. Species whose local lifetimes are longer than quasi-horizontal-transport time scales are in climatological slope equilibrium, i.e., they share surfaces of constant mixing ratio, and a scatter plot of the mixing ratio of one versus that of the other collapses to a compact curve whose slope at any point is the ratio of the net global fluxes of the two species through the corresponding surface of constant mixing ratio. Species whose local lifetimes are greater than vertical transport time scales are in gradient equilibrium and their mixing ratios display a linear relationship. These statements are illustrated using results from a 2D chemistry-transport model.