Environmental variation is a ubiquitous component of individual, population and community processes in the natural world. Here, we review the consequences of spatio-temporally autocorrelated (coloured) environmental variation for ecological and evolutionary population dynamics. In single-species population models, environmental reddening increases (decreases) the amplitude of fluctuations in undercompensatory (overcompensatory) populations. This general result is also found in structurally more complex models (e.g. with space or species interactions). Environmental autocorrelation will also influence evolutionary dynamics as the changing environment is filtered through ecological dynamics. In the context of long-term environmental change, it becomes crucial to understand the potential impacts of different regimes of environmental variation at different scales of organization, from genes to species to communities.