Disappearances of local populations within a species range are more frequent and better documented than whole species' extinctions, and attribution to climate change is possible for sites with minimal confounding non-climatic stressors. Changes of temperature extremes are often more important to these local extinction rates than changes of mean annual temperature   . A global meta-analysis of 236 species of birds, mammals, amphibians, fish, invertebrates and plants across 132 independent studies found that changes in population abundances were strongly related to temperature variability globally, and significantly related to precipiation variability in lower latitudes . In a global study of 538 diverse plant and animal species, sites with local extinctions were associated with smaller changes of mean annual temperature but larger and faster changes of hottest yearly temperatures than sites where populations persisted . Near warm range limits, 44% of species had suffered local extinctions. In both temperate and tropical regions, sites with local extinction had greater increases in maximum temperatures than those without: a Tmax increase of 0.456°C and 0.316℃ versus a Tmean increase of 0.153°C and 0.061ºC for temperate  and tropical , respectively  .
IPCC
Climate Change 2022: Impacts, Adaptation and Vulnerability
IPCC Report