In the American southwest studies done using pack rat nests and bristleconce pine trees have brought to light a weather time line more accurate than Mesopotamian scribes ever kept, a time line that goes back for about 10,000 years.
The bad news is that there have been severe droughts during the past 7,000 years. Some lasted 200 years and resulted in the desertification sweeping into some areas only to sweep out again.
Darn those cave men and their SUV's!
You are absolutely correct. Tree rings show worldwide catastrophic events at 3195BC, 2354BC, 1628BC, 1159BC and 540AD. (two less events at 207BC and 44BC) Mike Baillie (below) is my guy.
...and, a few other things too.
Disaster that struck the ancients
A crater in Iraq that was discovered after Saddam drained the swamps that were the homeland of the Marsh Arabs