High rates of climate and land-use changes threaten biodiversity and ecosystem function 1,2 , creating a need for integrated assessments and planning at regional to global scales. We develop a new approach to measure multivariate estimates of climate and land-use change that builds on recently developed measures of climate velocity 3-6 , and apply it to assess the combined speeds of climate and land use for the conterminous US from 2001 to 2051. The combined speeds of climate and land-use change are highest in a broad north-to-south swath in the central US and in parts of the intermountain west. Climate speeds are roughly an order of magnitude higher than land-use speeds in most regions, but land-use speed is particularly high in the Appalachians and north-central forests. Joint speeds are low across much of the intermountain west. Our results highlight areas expected to be most vulnerable to changes in biodiversity and ecosystem function due to the individual or combined e ects of climate and land-use change. The integration of climate and land-use scenarios suggests di erent conservation prioritization strategies from climate velocities and species alone 7 .Most quantitative global-change assessments of rates of change have focused on future climate alone 3,5,6,8,9 , without considering other factors. Conversely, most future land-use scenarios do not consider climate change 10-12 and emphasize total habitat losses rather than rates of change. As the distributions of species and diversity are affected by multiple environmental factors, multivariate approaches to assess the rates of climate or land-use change are needed. Using a new joint measure of exposure to climate and land-use changes that combines elements of velocitybased 3,5,6 and analogue-based methods 6,8,9 (Methods), here we measure the combined speeds of climate and land-use change for the conterminous US based on multiple land-use and climate scenarios.Our approach is based on the univariate velocity of change, measured as the ratio of temporal anomalies to spatial gradient 3 (Methods); for example,
Temporal anomaliesSpatial gradient =to translate estimates of temporal rates of changes into estimates of spatial velocities. This metric provides a standardized measure of exposure 2 of species to spatially rapid rates of change. Climatic velocities determine the rates at which a given species needs to move to stay within a given range of climate. Land-use velocities index the rapidity of land-cover conversion, which can lead to habitat loss, spatial isolation and the emergence of dispersal barriers.We build on this to develop a new estimate of the exposure of ecosystems to rapid change across multiple dimensions of climate and land use (Methods), providing an overarching index that is independent of the natural history attributes of individual species. This measure combines the principle of individual velocity-based metrics 3,5,6 with the multivariate assessments enabled by analoguebased methods 6,8,9 . As with univariate velocity measurements, multivar...