Compound drought-heatwave (CDHW) events are one of the worst climatic stressors for global sustainable development. However, the physical mechanisms behind CDHW and their impacts on socio-ecosystem productivity remain poorly understood. Here, using simulations from a large climate-hydrology model ensemble of 111 members, we demonstrate that the frequency of extreme CDHWs is projected to increase by ten-fold globally under the highest emissions scenario, along with a disproportionate negative impact on vegetation and socioeconomic productivity by the late 21 st century. By combining satellite observations, field measurements and reanalysis, we show that terrestrial water storage and temperature are negatively coupled, likely driven by similar atmospheric conditions (e.g., water vapor deficit and energy demand).Limits on water availability are likely to play a more important role in constraining the terrestrial carbon sink than temperature extremes, and over 90% of the global population and GDP could be exposed to increasing CDHW risks in the future, with more severe impacts in poorer or rural areas. Our results provide crucial insights towards assessing and mitigating adverse effects of compound hazards on ecosystems and human well-being.
Main textDrought and heatwaves are driven by complex interactions between physical processes and often initiated by similar synoptic circulation anomalies 1-2 , and are thus likely to occur simultaneously [3][4] . As droughts are occurring more frequently and atmospheric warming triggers stronger land-atmosphere feedback, the risks of compound drought-heatwave (CDHW) events are intensified across the globe 5-6 , amplifying adverse impacts on socioeconomic sustainability and human well-being 7-8 . CDHW can for example exacerbate vegetation mortality, which, in turn, may cascade into other hazards, such as wildfires and crop yield 3 losses [9][10][11] ; they can also jeopardize electric grid reliability and adversely affect a wide range of natural and human-made systems 12 . In the U.S. alone, three CDHWs between 2011 and 2013 caused economic damages of roughly $60 billion 6 . How CDHWs regulate ecosystem productivity is also an important issue. The terrestrial biosphere acts as a prominent sink for anthropogenic CO2, sequestering about 30% of annual CO2 emissions [13][14] . However, climatic extremes can adversely affect its ability to function as a sink; for example, the 2003 European drought and heatwave reduced plant productivity by ~30%, thereby cancelling four years of CO2 net uptake over Europe 15 . After severe CDHWs, plant recovery usually lags owing to reduced growth, non-reversible losses in hydraulic conductance or depletion of carbon reserves [16][17] . This lagged growth may in turn increase vulnerability to another CDHW if it occurs before complete recovery 8 , potentially limiting the capacity of continents to act as a carbon sink [18][19] .With growing evidence about these damages, CDHWs are increasingly regarded as one of the worst climatic stressors to global soc...