conditions for successful reproduction are gone, leading to a lagged decline, called 'extinction debt'  . Therefore, range loss is an established criterion for assessing endangerment status and risk of extinction. As a species range becomes smaller and occupied habitats become more isolated, the likelihood of a single stochastic event causing extinction increases. It is this combination of projected loss of climatically suitable space and additional stressors  that is expected to drive future extinctions.
IPCC
Climate Change 2022: Impacts, Adaptation and Vulnerability
IPCC Report