Fundamentally, beta diversity is a measure of species turnover across time or space. In practice, it is sometimes unclear exactly what aspect of beta diversity that is implied in studies. For instance, a trend in 'spatial beta diversity' can be used to refer to both differences in spatial beta diversity between sites, as well as a temporal trend in spatial beta diversity (at the same site). In a recent review, McGill et al.[1] provide a useful and much needed overview of different aspects of biodiversity change, and show areas where we lack knowledge. Even so, McGill et al. ignore some aspects of beta diversity and sometimes pool different types of beta diversity under the same heading. However, their review mainly focused on temporal trends in diversity, while I here want to highlight spatial patterns in temporal β-diversity (species turnover) as an important but somewhat overlooked component of biodiversity change. Furthermore, I propose a slightly modified classification and nomenclature of metrics of biodiversity change, with the aim of complementing their review. The notation used here can hopefully be useful to other authors as well.To create their matrix of 15 forms of biodiversity trends, McGill et al.[1] use 4 classes of biodiversity metrics (α diversity, spatial β diversity, temporal β diversity and abundance), but these classes each contain different aspects of biodiverstiy change and are therefore not as clearcut as they may appear. I suggest that there are at least eight key aspects to biodiversity change from the perspective of species richness; α − → s , α − → t , β t , β s , β t, − → s , β s, − → t , β t, − → t and β s, − → s , to which we can add measures of abundance or biomass (see Fig. 1). Here, s and t refer to spatial or temporal dimensions and − → s and − → t indicate change across space or time.The two aspects of alpha diversity are relatively straightforward, and describe temporal and spatial patterns of local species richness. The six aspects of beta 1 PeerJ Preprints | https://doi.org/10.7287/peerj.preprints.3157v1 | CC BY 4.0 Open Access |