SUMMARYHigh altitude ER-2 aircraft observations in both hemispheres of the lower-stratospheric polar night jet stream reveal generalized scale invariance. The scaling exponent has systematic correlation with wind shear and temperature gradient showing across-jet persistence, along-jet anti-persistence, and an overall average value ≈5/9. The analysis provides a natural connection between generalized scale invariance and traditional large-scale dynamical meteorology. For one mission in the southern hemisphere composite variograms could be constructed for nitrous oxide and ozone, from which it was deduced that the former is a true passive scalar in the lower stratosphere, while sources and sinks are operative for the latter.