Agriculture dates back to at least ~10,000 BC (the "Neolithic revolution"). Effective farming (i.e., not dying of starvation) requires planning for changing weather conditions. If you think Neolithic farmers didn't have a vested interest in detecting patterns in weather cycles, you're sadly mistaken.
Hell, the term "meteorology" was coined by Aristotle... in a book he wrote... called Meteorology... in 350 BC.