Traits in a less-than-ideal world

Empirical estimates of trait importance are lacking for many organisms, systems, and processes. Further, the targets of long-term conservation and management programmes may change over time, and with them the traits that are deemed relevant. Data from multiple traits are more likely to capture the functional responses of communities across the gamut of possible management scenarios (Fig. 1). In contrast, one or two traits might only show a signal under certain circumstances, which may be misleading under new applications. We offer four additional arguments for using multiple FTs when characterizing FD:

1. (1) When multiple processes are shaping the community under investigation, they may reflect differently in its trait composition. Only by including multiple traits can we achieve a holistic representation of FD. This may be especially relevant when looking at broad spatial and temporal patterns that are influenced by many different factors, including anthropogenic activities.

2. (2) By extension, different traits may drive different, and potentially unidentified, ecosystem functions (Petchey & Gaston Reference Petchey and Gaston2006), and we are often interested in managing diversity to support multiple functions in an inclusive ecosystem framework (de Bello et al. Reference De Bello, Lavorel, Díaz, Harrington, Cornelissen, Bardgett, Berg, Cipriotti, Feld, Hering, Martins da Silva, Potts, Sandin, Sousa, Storkey, Wardle and Harrison2010).

3. (3) Multiple traits allow for post hoc estimation of trait importance (Pillar & Sosinski Reference Pillar and Sosinski2003; Petchey et al. Reference Petchey, Hector and Gaston2004). Such an exploratory approach may suggest starting points for more focused investigations. It may also identify traits that have no direct link to the observed outcome, and thus might have otherwise been excluded, but which have important indirect consequences that only become evident through such an analysis (Griffin et al. Reference Griffin, Jenkins, Gamfeldt, Jones, Hawkins and Thompson2009).

4. (4) Multiple traits may approximate traits that are difficult to measure (‘hard traits’), in the sense that differences can be preserved across combinations of other, less intensive traits (‘soft traits’ sensu Hodgson et al. Reference Hodgson, Wilson, Hunt, Grime and Thompson1999). This is not to discourage against pursuing difficult but informative traits, but rather acknowledges that the time, money, samples, and effort necessary to obtain such traits may simply not be available (Petchey & Gaston Reference Petchey and Gaston2006). These constraints should not preclude an investigation of FD if less rigorous trait data are available, as long as those traits are reasonable proxies.

More is not always better

A useful FT will vary among species (McGill et al. Reference McGill, Enquist, Weiher and Westoby2006; Petchey & Gaston Reference Petchey and Gaston2006). However, some shared trait values can help quantify the degree of redundancy within assemblages, and may identify vulnerable ecosystems and services (Rosenfeld Reference Rosenfeld2002). Conversely, FTs that strongly discriminate species can cause indices to mirror species richness, negating a functional approach (Schleuter et al. Reference Schleuter, Daufresne, Massol and Argillier2010). Thus, some caution should be exercised when combining multiple traits. Additional traits may also not reveal any new information. Recent investigations using dimensionality reduction and model selection techniques have revealed that between 3–5 traits were necessary to completely characterize plant communities (Laughlin Reference Laughlin2014) and species interaction networks (Eklöf et al. Reference Eklöf, Jacob, Kopp, Bosch, Castro-Urgal, Chacoff, Dalsgaard, de Sassi, Galetti, Guimarães, Lomáscolo, Martín González, Pizo, Rader, Rodrigo, Tylianakis, Vázquez and Allesina2013). However, these studies favoured plants which, being well-studied and less complex than animals, are more likely to be accurately represented by fewer traits. Finally, FTs should also not be confounded with the pattern or process they are trying to explain. For example, using habitat association as a trait to explain community structure along a spatial gradient would be confounded if habitats were distributed unequally along the same gradient.

In most analyses of FD, multiple traits are collapsed into functional indices, and this process can be equally sensitive to trait choices. For instance, Poos et al. (Reference Poos, Walker and Jackson2009) showed that a dendrogram-based index of FD was sensitive to both the clustering algorithm, and the distance measure used to quantify dissimilarity among species (for example Euclidean or Gower). Pakeman (Reference Pakeman2014) showed that five common metrics used to quantify FD, namely functional divergence and dispersion, Rao's quadratic entropy, and particularly functional richness and evenness, were sensitive to missing values.

There has been limited discussion of how correlations among multiple traits might impact indices of FD (Cornwell et al. Reference Cornwell, Schwilk and Ackerly2006, Villéger et al. Reference Villéger, Mason and Mouillot2008). To explore this phenomenon, we simulated values for the above indices of FD while varying the degree of correlation, the number of traits, and species richness (see supplementary material). We found that functional dispersion and evenness were largely invariant to correlations among traits, except at very high levels of correlation (r > 0.95; Fig. 2). Functional richness and divergence decreased substantially with increasing correlations. Correlated traits reduce the absolute volume of multidimensional trait space, which is used in the calculation of these two indices (Cornwell et al. Reference Cornwell, Schwilk and Ackerly2006). Generally, declines were exaggerated as more traits were considered (Fig. 2). These trends were robust to changes in species richness (supplementary material Fig. S1). In contrast to Villéger et al. (Reference Villéger, Mason and Mouillot2008), our simulations suggest that retaining many correlated traits will cause functional richness and divergence to converge on smaller values, based purely on the mathematical properties of the indices.

Figure 2 The relationship between five common indices of functional diversity and the degree of correlation among traits using simulated data for 100 species. Shading indicates the number of traits included in the analysis.

Several methods have been proposed to deal with the issue of correlations among functions, including dimensionality-reduction techniques like principal coordinates analysis (Villéger et al. Reference Villéger, Mason and Mouillot2008; Laliberté & Legendre Reference Laliberté and Legendre2010). However, these may not preserve actual differences among species (Schleuter et al. Reference Schleuter, Daufresne, Massol and Argillier2010), and the components may be uninterpretable within actual biology and ecology. A more sensible and interpretable approach involves culling traits before they are subjected to any kind of calculation, using either a priori knowledge of the system or model selection approaches.

Multivariate indices can also be misleading when there are interactions or many weak relationships among traits. Strong opposing trends among individual traits may result in trade-offs that cause the multivariate index to show no average trend (Spasojevic & Suding Reference Spasojevic and Suding2012). Similarly, a single strong signal may be swamped in the presence of many weak relationships (Bellwood et al. Reference Bellwood, Wainwright, Fulton and Hoey2006). It is difficult to anticipate when these kinds of trade-offs or myriad weak relationships might occur. Thus, we recommend calculating both a multivariate index and performing a thorough investigation of each trait individually (for example by using community weighted means; Ricotta & Moretti Reference Ricotta and Moretti2011).

Moving forward

There are still many frontiers to explore within the context of functional traits. FTs of individuals may vary within a species, sometimes more than among species. New methods allow integration of this variability at the individual level into calculations of FD (de Bello et al. Reference De Bello, Lavorel, Albert, Thuiller, Grigulis, Dolezal, Janeček and Lepš2011). Many FTs, particularly those obtained from existing data, represent average values taken across the full range of conditions under which species occur. Such values may not be representative for smaller scale investigations, or account for altered phenotypes driven by global change. Phylogenetic diversity has been proposed as a holistic proxy for functional differences. As with FD, phylogenetic diversity may be sensitive to the genes used and methodological choices during tree construction, which can influence tree topology and resulting inferences (Tucker & Cadotte Reference Tucker and Cadotte2013). There is limited mechanistic understanding of how variation at the genetic level translates to natural patterns and processes. FTs rectify this issue by drawing on observable phenotypes and interactions, and thus provide insight into the potential ecological mechanisms at work. Here, we advise researchers to carefully consider how trait and methodological choices might affect their research goals. We recommend a multi-trait approach in cases where hypotheses are not absolutely clear, coupled with careful vetting of potentially redundant information.