Trace gas mixing ratio variability versus lifetime in the troposphere and stratosphere: Observations

Several archived data sets have been reviewed to examine the relationship b etween mixing ratio variability and lifetime for hydrocarbon and halocarbon species in the troposphere and stratosphere. The dependence on lifetime wa s described by the power law relationship s(lnx) = A tau(-b), where slnx is the standard deviation of the In of the mixing ratios, A is a proportional ity coefficient, and b is an exponent that relates to the dominance of sink terms in the regional variability budget. At the Harvard forest ground sit e, winter and summer data displayed the same lifetime dependence, tau(-0.18 ), which was significantly weaker than the tau(-0.5) dependence of remote t ropospheric data, indicating that source terms dominated regional variabili ty at Harvard. In addition, the ratio of summer to winter slnx values was f ound to be similar for all species except ethane, averaging 1.54 +/- 0.04. This ratio is consistent with a factor of Ii seasonal change in the species lifetimes, given a tau(-0.18) ls lifetime dependence. Stratospheric data d isplayed a stronger lifetime dependence than tropospheric trends, indicatin g a more dominant role for sink terms in describing spatial variability in this region of the atmosphere. We show that a unique power law relationship between s(lnX) ratios for two species X-i and X-j and the kinetic slope of In(X-i) versus In(X-i) correlation plots is found to hold in both observat ions and theory. Thus knowledge of tl coefficient b allows for a clearer un derstanding of the relationship between observed slopes of In(X-i) versus I n(X-i) correlation plots and the ratio of the species lifetimes.