Brand-new climate classifications in the future?

During the Cretaceous and Eocene the Earth was significantly warmer than today, around 8C higher than present day, and the tropical regions had little to no vegetation according to fossil evidence. Its not known how much precipitation those regions received during that time, but it's possible that they were just as rainy as they are today, if not more, but the temperatures were too high for plant growth, so no matter how much rain, a tropical rainforest wouldnt be able to grow there.

Perhaps a humid desert climate type would be created in the far future if the Earth ever experience such global warming again.