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Dissecting phylogenetic fuzzy weighting: theory and application in metacommunity phylogenetics Leandro D. S. Duarte1,*, Vanderlei J. Debastiani1, André V. L. Freitas2, Valério D. Pillar1 1 Departamento de Ecologia, CP 15007, Universidade Federal do Rio Grande do Sul, Porto Alegre, 91501-970, Brazil 2 Departamento de Biologia Animal, Instituto de Biologia, CP 6109, Universidade Estadual de Campinas, Campinas, São Paulo, 13083-970, Brazil Appendix S1. Matrix Q, phylogenetic pool and taxa sampling Community ecologists often define their species sample based on a more or less arbitrary spatial unit, which tends to be problem-delimited rather than evolutionarily delimited. Thus, species samples analyzed in ecological studies do not necessarily express the complete phylogenetic information of the clade under analysis. Phylogenetic lineages containing a high number of species can be rare in some metacommunities while are very common in others. Moreover, some branches of the phylogenetic tree can be simply absent in some metacommunities. If we intend to analyze phylogenetic patterns for a particular metacommunity, the most feasible solution is to define the phylogenetic pool based on the species sampled across the metacommunity. It logically implies that sampling species from a given biological group (e.g. angiosperms, anurans, etc.) in two different metacommunities can render different phylogenetic tree topologies, even though those metacommunities share some species. How can sampling design affect matrix Q? As we have seen in the main text, the SB value of a species will depend on the frequency of ramifications between the tip node and the root of the tree. Further, CB values between any pair of species will also depend on the topology of evolutionary path of each species and on the phylogenetic distance between them. Thus, whenever a sample-defined species pool, i.e. the set of species recorded in the metacommunity, is used to compute SB and CB values, the matrix Q is valid only for that metacommunity. Indeed, other phylogenetic metrics were already demonstrated to be strongly dependent on the phylogenetic pool used to define it (Swenson et al. 2006). The only way to compute the “true” SB (SBTRUE) and CB (CBTRUE) values for a taxa sample is to extract those values directly from the complete phylogenetic tree for those taxa. Otherwise, a species from a highly diversified lineage, which tend to show a low SBTRUE value compared to other species from a less diversified clade, may possibly show a high local self-belonging (SBLOCAL) if the clade to which it belongs is locally rare. With sufficient sampling effort, a species with SBLOCAL >> SBTRUE might possibly give some clue about the ecological mechanisms filtering the local distribution of some lineages across the metacommunity. Therefore, in comparative studies performed at the regional scale, a high SBLOCAL value can be also useful and informative, even with the lack of the complete phylogenetic tree. In short, high SBLOCAL values can tell us about the importance of a poorly represented lineage in a given region (e.g., a conifer tree in a tropical forest), although the results cannot be compared with those obtained from a region where such lineage is better represented (e.g. comparing values from the above example with those obtained from a boreal forest). In the same way, CB values among species will also vary according to the phylogenetic tree used to compute Q where some nodes are pruned from the sampledefined phylogenetic tree. Considering the dependency of self-belonging values on phylogenetic taxa sampling, three possible situations can be found when we compute SB values: 1) Taxa sampling expresses the overall phylogenetic variability of the living clades. In this case, the less diversified a lineage is, the higher the self-belonging of the taxa within such lineage, and SBLOCAL ≅ SBTRUE. This means that poorly diversified lineages are more "unique" than species from a very diversified clade. For example, in a global assessment of mammalian diversity, monotremes will always show a higher SB value when compared to any other mammalian lineage. 2) Taxa sampling captures the phylogenetic variability of a given lineage across the metacommunity, but does not express the overall phylogenetic variability of the living clades. This is a common situation, since local species pools recorded to assess community assembly patterns often fail to capture the complete phylogenetic variation in a given lineage. Thus, each taxon within a lineage with low local phylogenetic representativeness will present a high self-belong value (SBLOCAL), which does not necessarily represent its self-belonging (SBTRUE) when the global representativeness of the clade is considered (SBLOCAL ≠ SBTRUE). For instance, conifer trees of the Brazilian Atlantic Forest are represented by three species, which means that in any local species pool these species will tend to show high SBLOCAL values. On the other hand, angiosperm trees in boreal forests will likely show high SBLOCAL values. A high SBLOCAL value can be useful and informative though. This information tell us the local uniqueness of a given lineage, which can be a valuable information to help understanding community assembly patterns and taking decisions about conservation/management practices. 3) Taxa sampling neither capture the phylogenetic variability of a given lineage across the metacommunity, nor express the overall phylogenetic variability of the living clades. In this case the SB and CB values are merely an artifact, and should be used with caution. Among the various reasons that lead to this situation we might highlight biased and incomplete sampling and lack of phylogenetic data for many biological groups. Reference Swenson, N.G., Enquist, B.J., Pither, J., Thompson, J. & Zimmerman, J.K. 2006. The problem and promise of scale dependency in community phylogenetics. Ecology 87: 2418–2424.