In 1988, the hole in the ozone layer over the Antartic didn´t appear, why?

I cannot speak to the exact measures in 1988, but this is the "general why."

The size or even creation of the ozone hole is not dependent entirely on man-made ozone-depleting substances (such as CFCs). The atmosphere over Antarctica, in the form of large volumes of warm air rising versus cold air sinking (keep in mind "warm air" over the south pole is not as warm as, for instance, warm air at the equator; but it's the same principle).

When the warm air is rising (or even just sitting in the upper atmosphere) it will "fill the hole" with air/gases that do not contain sufficient amounts of ozone to "plug the hole."

However, when that air cools, and sinks, it draws the ozone-full air inside, which "closes" the hole, as the colder air sinks as "gets out of the way."

This is an entirely natural process that has been working since our modern Earth formed. It doesn't completely fill the hole, it just "pulses" it wider or smaller - or sometimes, if the winds don't change, then nothing happens at all.

Man-made substances do still have an effect on depleting ozone and theoretically making it larger, but the large scale changes that we currently observe are usually attributable to natural processes.

I've included a link to some ozone-depleting substance information, but remember, at the moment, natural processes rule.

You neglected to quote the part of the article that confirms that there is a great deal of variability in the ozone layer, Dana. "Dr Paul Fraser is from CSIRO's Marine and Atmospheric Research division. He says while scientists believe the hole is shrinking, its size does vary from year to year. "The biggest driver of the year-to-year variability in the ozone hole are stratospheric temperatures, and this was a particularly warm year in the stratosphere," he said. "When you have a warm stratosphere, the processes that destroy ozone in conjunction with the CFCs (chloro fluoro carbon) are much less efficient, and so you end up with a relatively small ozone hole. "So the year to year variability is determined by the temperature changes, but they're superimposed on a long-term trend and we think that's heading in the right direction towards eventual ozone recovery, but that's going to take a long time." He says the fact that CFCs (ozone depleting substances) were phased out has helped the situation." I am not arguing that CFC's affect ozone concentrations. CFC's can destroy a great deal of ozone during its lifetime. But, there is still a great deal of variability in ozone during the year. That there is a certain amount of variability is not the first piece of information that people tend to publish.

I don't know where you got that information, but when I looked it up, there was an ozone hole in 1988.

Ozone (O3) is created by exposing oxygen (O2) to ultraviolet light. When you remove the UV light source, it quickly decomposes back to O2. Ozone's half life is about 7 to 20 minutes.

So when you have a polar winter where there is no sunlight at the south pole, you can see why the ozone layer develops a hole. This is normal and expected behavior.

The scientist who made this whole thing up forgot to fake it in 98.