While there is conclusive evidence that strong warm-weather storms have sent water vapor as high as 12 miles — through a process called convective injection — and while climate scientists say one effect of global warming is an increase in the intensity and frequency of storms, it is not yet clear whether the number of such injection events will rise.

“Nobody understands why this convection can penetrate as deeply as it does,” said Dr. Anderson, who has studied the atmosphere for four decades.

Mario J. Molina, a co-recipient of a Nobel Prize for research in the 1970s that uncovered the link between CFCs and damage to the ozone layer, said the study added “one more worry to the changes that society’s making to the chemical composition of the atmosphere.” Dr. Molina, who was not involved in the work, said the concern was “significant ozone depletion at latitudes where there is a lot of population, in contrast to over the poles.”

The study, which was financed by the National Aeronautics and Space Administration, focused on the United States because that is where the data was collected. But the researchers pointed out that similar conditions could exist at other midlatitude regions.

Ralph J. Cicerone, an atmospheric scientist and the president of the National Academy of Sciences, who reviewed the study for Science, also called for more research. “One of the really solid parts of this paper is that they’ve taken the chemistry that we know from other atmospheric experiments and lab experiments and put that in the picture,” he said. “The thing to do is do field work now — measure moisture amounts and whether there is any impact around it.”

“The connection with future climate is the most important issue,” Dr. Cicerone said.

Large thunderstorms of the type that occur from the Rockies to the East Coast and over the Atlantic Ocean produce updrafts, as warm moist air accelerates upward and condenses, releasing more heat. In most cases, the updrafts stop at a boundary layer between the lower atmosphere and the stratosphere called the tropopause, often producing flat-topped clouds that resemble anvils. But if there is enough energy in a storm, the updraft can continue on its own momentum, punching through the tropopause and entering the stratosphere, said Kerry Emanuel, an atmospheric scientist at the Massachusetts Institute of Technology.

When Dr. Anderson produced data about five years ago clearly showing these strong injections of water vapor, “I didn’t believe it at first,” Dr. Emanuel said. “But we’ve come to see that the evidence is pretty strong that we do get them.”