Since I seem to be the only one with any kind of background in rubber chemistry, I'll comment. Just bear in mind, I am far from an expert - just a guy who has picked up some info from people who ARE knowledgeable.
If I understand the aging of rubber in tires correctly, 2 things go on.
1) The rubber molecules get attacked by oxygen and the long chains are broken. I'm not sure why this leads to the rubber becoming stiffer and brittle.
2) The oils and waxes in the rubber matrix evaporate (is that the right word?). The waxes and oils lubricate between the rubber molecules and make the rubber more flexible. When those evaporate, the rubber becomes stiff and brittle - and since most of a tire's stiffness (that is, resistance to movement) is from the inflation pressure, the change in rubber stiffness doesn't appreciably change the amount of movement, so the rubber cracks.
And one last thought: There are different types of rubber and each has its own sensitivity to temperature and cracking. Some are very impervious, while others - not so much. Also, different formulations have different properties. It's inadvisable to compare different types of tires as there is so much variation, you can find lots of exceptions and pretty much any "rule" you might develop will be invalidated by the experience of others. A general rule would be to keep tires away from sources of cold, heat, petroleum, and ozone - if you can. Obvious, a winter tire can not be shielded from cold weather.