There is no doubt that the fertile crescent was a centre of agriculture in prehistoric time.
However if you have a look at
Ohalo - Wikipedia, the free encyclopedia
You will find evidence of agriculture twice as old as that. Still in the same area though.
So the best you can do is say that this is likely the first example of agriculture because it was as the name suggests "fertile". If it was the "rocky dry crescent" you would not have agriculture.
The rest is unsupported surmise.
Dear Quaxotic, Can you identify the people you CLAIM planted those crops? Of course not, since Grains grow wild in the area. Your "evidence" is refuted since Humans didn't arrive until the time enlarged and bolded below. Try this site:
Ancient Agriculture -- Ancient History Encyclopedia
From the site: Identifying an exact origin of agriculture remains problematic because the transition from hunter-gatherer societies began thousands of years before the invention of writing. It isn't until after 9,500 BCE that the eight so-called founder crops of agriculture appear: first emmer and einkorn wheat, then hulled barley, peas, lentils, bitter vetch, chick peas and flax. These eight crops occur more or less simultaneously on sites in the Levant, although the consensus is that wheat was the first to be sown and harvested on a significant scale.
ISIL is the Islamic State in the Levant, today. Human Civilization began and will end in the same area where Noah arrived, and brought to FIRST Humans to our Planet of the descendants of the common ancestor of Apes, who DO NOT Farm, and NEVER did. Try again? God Bless you.
In Love,
Aman