While the rising demand for slaves in the Chesapeake played some role in the growth of the Atlantic slave trade between the mid-1500s and the late 1800s, it was the spread of plantation economies in other places that spurred and sustained the traffic in human beings. Which were these other places?

The other places were The Caribbean and South America.

Explanation:

Huge numbers of slaves were imported by South America and the Caribbean during the nearly four centuries when slavery as practised in the American continents. Some estimates put the import numbers as high as 55 percent of all slaves imported to have been done by Spanish America and Brazil. The lowlands of Brazil and the fertile lands of the Caribbean were where plantation economies thrived due to the climate, land, and waterways that eased transportation.