The team focused on plant and animal species that were surveyed at the same sites over time, at least 10 years apart. The researchers generated climate data from the time of the earliest survey of each site, and the more recent survey.
They found that 44 per cent of the 538 species had already gone extinct at one or more sites.
"By analysing the change in 19 climatic variables at each site, we could determine which variables drive local extinctions, and how much change a population can tolerate without going extinct," said Cristian Roman-Palacios from the University of Arizona.
"We also estimated how quickly populations can move to try and escape rising temperatures. When we put all of these pieces of information together for each species, we can come up with detailed estimates of global extinction rates for hundreds of plant and animal species, Roman-Palacios said.
The study identified maximum annual temperatures -- the hottest daily highs in summer -- as the key variable that best explains whether a population will go extinct.
The researchers found that average yearly temperatures showed smaller changes at sites with local extinction, even though average temperatures are widely used as a proxy for overall climate change.
"This means that using changes in mean annual temperatures to predict extinction from climate change might be positively misleading," said John J Wiens from the University of Arizona.
Previous studies have focused on dispersal -- or migration to cooler habitats -- as a means for species to "escape" from warming climates.
However, the latest study found that most species will not be able to disperse quickly enough to avoid extinction, based on their past rates of movement.
The researchers found that many species were able to tolerate some increases in maximum temperatures, but only up to a point.
They found that about 50 per cent of the species had local extinctions if maximum temperatures increased by more than 0.5 degrees Celsius, and 95 per cent if temperatures increase by more than 2.9 degrees Celsius.
Projections of species loss depend on how much climate will warm in the future. "In a way, it's a 'choose your own adventure,'" Wiens said.
"If we stick to the Paris Agreement -- that aims to keep temperature rise to below 2 degrees Celsius -- to combat climate change, we may lose fewer than two out of every 10 plant and animal species on the Earth by 2070," he said.
However, if humans cause larger temperature increases, they could lose more than a third or even half of all animal and plant species, the researchers said.
The projections of species loss in the study are similar for plants and animals, but extinctions are projected to be two to four times more common in the tropics than in temperate regions, they said.
"This is a big problem because the majority of plant and animal species occur in the tropics," Roman-Palacios added.
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