he effects of ocean warming on marine life are often summarized as a poleward displacement of their biogeographical ranges, tracking the direction and horizontal velocity of surface isotherms in the ocean 1-4. The assumption underlying this two-dimensional (2D) depiction of warming effects on marine life is that surface temperature adequately represents the thermal regimes experienced in the upper ocean. However, climate velocity is defined as the rate and direction isotherms shift through space 1,2,5 , including the vertical dimension. Indeed, the upper ocean environment is 3D, with temperature and light, among other key factors, regulating biological activity at depth 6. Consequently, species abundance and richness decline rapidly with depth 7. Ocean warming involves the penetration of excess heat in the water column, which can now be detected to characteristic depths of 700 m across the upper ocean 8 , thereby affecting horizontal thermal regimes but also those at depth. Indeed, marine species around the United States have shifted their distribution, tracking the velocity of isotherm displacement along both the meridional and depth axes 5. Similarly, North Sea demersal fish assemblages have shifted their depth distribution downward in response to warming 9. Hence, there is evidence that options available to marine organisms to respond to warming do not only involve local acclimation or poleward range shift, but also a shift in their 3D range, to occupy deeper, cooler environments that are closer to their optimal thermal range. The horizontal velocity of climate change and associated poleward displacement of marine life have already been examined globally 1,2,4. However, the vertical velocity of climate change with depth has not yet been reported at the global scale. Available evidence from regional studies shows that the vertical velocity of climate change can be pronounced, with thermal envelopes deepening by up to 60 m dec −1 around the United States 5. Deepening of vertical distributions by a few metres per year has been proposed as a mechanism that allows marine organisms to keep pace with climate