the process of human adaptation to novel environments is a uniquely complex interplay between cultural and genetic changes. However, mechanistically, we understand little about these processes. to begin to untangle these threads of human adaptation we use mathematical models to describe and investigate cultural selective sweeps. We show that cultural sweeps differ in important ways from the genetic equivalents. the models show that the dynamics of cultural selective sweeps and, consequently, their differences from genetic sweeps depend critically on cultural transmission mechanisms. Further, we consider the effect of processes unique to culture such as foresight and innovations in response to an environmental change on adaptation. finally we show that a 'cultural evolutionary rescue', or the survival of an endangered population by means of cultural adaptation, is possible. We suggest that culture might make a true, genetic, evolutionary rescue plausible for human populations. Genetically, a population can adapt to a new niche or a novel environment in two ways, either by relying on existing genetic variation, or through the appearance of beneficial new mutations 1,2. In the latter case the rate of adaptation is limited by the rate of genetic mutation, and in the former the adaptive process is constrained by the variance in a relevant trait, and influenced by selection and drift prior to entering the new environment 1-3. This difference has important implications for estimates of past and future rates of genetic evolution and the discernible signatures of selective sweeps in each case 2. The potential for a rapid rate of cultural evolution compared to genetic change raises an important possibility: in humans, genetic adaptation to new environments or genetic responses to environmental shifts may be preceded by much more rapid cultural adaptation 4. Indeed, the ability of modern humans to adapt to novel environments is often attributed to our uniquely well-developed ability to rapidly amass large adaptive cultural repertoires 5,6. However, while the field of cultural evolution has provided deep insights into the processes of cultural transmission 5,7 , we still understand little about how cultural adaptation to novel environments might proceed, what if any, evidence of past selection might be found in cultural data, and how this might interact with genetic adaptation or interfere with genetic signatures of selective events. For example, in analogy with the genetic case described above, does cultural adaptation generally occur from existing (standing) variation or from an innovation-limited process? It may be reasonable to assume that the process of cultural innovation proceeds more rapidly than genetic mutation but what does this mean for our understanding of adaptation and the signatures of adaptation? Understanding these dynamics demands close examination of the way in which we typically model innovation in cultural evolutionary systems (see Ref. 8). Often, the rate of innovation in cultural evolutionary models i...