What is the difference between ‘silviculture’ and ‘forestry’?

The NOAD reports that silviculture means the growing and cultivation of trees, while forestry means the science or practice of planting, managing, and caring for forests. If I say I am a silviculturist, I don't mean I plant forests.

The other grammatical difference between the words is that there are two derivates of silviculture (silvicultural, silviculturist), but there aren't derivates of forestry with similar meaning.