Europe suffered unusually wet conditions and an extreme cold spell. Immediately after the eruption, there were ancient Roman accounts of "crop failures, famine, disease and unrest in the Mediterranean - suggesting significant vulnerability to hydroclimatic shocks," the scientists said.
They pointed out that "historians have previously speculated that a large volcanic eruption of unknown origin was the most likely cause."
Their findings did come with a caveat.
"While it is difficult to establish direct causal linkages to thinly documented historical events, the wet and very cold conditions from this massive eruption on the opposite side of Earth probably resulted in crop failures, famine and disease," they wrote in the Proceedings of the National Academy of Sciences.
Those changes would have "exacerbated social unrest and contributed to political realignments throughout the Mediterranean region at this critical juncture of Western civilisation."
The eruption also coincided with the fall of the Ptolemaic Kingdom in Egypt, heralding the end of the pharaohs.
"To find evidence that a volcano on the other side of the Earth erupted and effectively contributed to the demise of the Roman (Republic) and the Egyptians and the rise of the Roman Empire is fascinating," said lead author Joe McConnell, of the Desert Research Institute in Reno, Nevada.
The two years following the eruption were some of the coldest in the Northern Hemisphere for 2500 years while autumn rainfall in southern Europe was up to four times heavier than normal.