In Caribbean islands, however, the arrival of humans and the end of the Ice Age is thousands of years apart, making a good case study to explore what happened. In a comprehensive analysis of extinction events across the Caribbean, scientists found evidence for two waves of species die-offs, both of which coincide with the arrival of humans. The first wave occurred around 5,000 years ago when humans first arrived, and the second around 1492, when Columbus made landfall.
Large animals such as the ground sloth were wiped out during the first extinction, and smaller animals including many unique rodents disappeared in the second wave. The reasons appear to be a combination of landscape transformation, hunting, and the introduction of invasive mammals to the islands.
See S. Cooke et al., “Anthropogenic extinction dominates holocene declines of West Indian mammals,” Annual Review of Ecology, Evolution and Systematics, doi:10.1146/annurev-ecolsys-110316-022754, 2017.