meteorology vs weather forecasting

meteorology and weather forecasting both are nouns.

Word	Noun	Adjective	Verb	Adverb
meteorology	Yes	No	No	No
weather forecasting	Yes	No	No	No

As nouns, meteorology and weather forecasting are synonyms defined as:

meteorology and weather forecasting: predicting what the weather will be

meteorology (noun)	weather forecasting (noun)
the earth science dealing with phenomena of the atmosphere (especially weather)	predicting what the weather will be
predicting what the weather will be