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A matrix of species (i) by sites (j) indicating how physiological variables may be included in such a matrix and can provide insight into intraspecific, interspecific and assemblage-level variation. The variable is critical thermal minimum (CTmin, see Chown and Terblanche 2007). The red rectangle indicates intraspecific variation across space. Interspecific variation (green) is calculated as a mean value for the species at the centre of their latitudinal range, whilst assemblage characteristics are the mean and variance a trait across all species at a given site (blue; redrawn from Chown & McGeoch, in review) (Color figure online)

A matrix of species (i) by sites (j) indicating how physiological variables may be included in such a matrix and can provide insight into intraspecific, interspecific and assemblage-level variation. The variable is critical thermal minimum (CTmin, see Chown and Terblanche 2007). The red rectangle indicates intraspecific variation across space. Interspecific variation (green) is calculated as a mean value for the species at the centre of their latitudinal range, whilst assemblage characteristics are the mean and variance a trait across all species at a given site (blue; redrawn from Chown & McGeoch, in review) (Color figure online)

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Global environmental change (GEC) is a significant concern. However, forecasting the outcomes of this change for species and ecosystems remains a major challenge. In particular, predicting specific changes in systems where initial conditions, instabilities, and model errors have large impacts on the outcome is problematic. Indeed, predictive commun...

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... those that emerge at the interspecific and assemblage levels (Dray and Legendre 2008; Gaston et al. 2008). Traditionally, cells of such a matrix would comprise the presences/ absences of species or their respective abundances at a series of sites (e.g. Gaston 2002;Bell 2003). However, the matrix can be populated with virtually any parameter (e.g. Fig. 3), such as the resting metabolic rate or critical thermal minimum of a series of populations (see e.g. Klok and Chown 2003;Wikelski et al. 2003 for these kinds of data). Moreover, in the spatially explicit form, spatial variation in an environmental parameter (e.g. mean growing season temperature) might form the first matrix, and, with ...

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