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TABLE S1. Puma fecal samples (N=39) attributed to 17 distinct individuals inhabiting the Jataí Ecological Station, Vassununga State Park and surrounding areas and the sex and date of each collected sample/replicate.

FIGURE S1. Northeast area of the São Paulo state, its land-use classes and spatial distribution of the 39 fecal samples collected and successfully individualized (N=17) in the Jataí Ecological Station, Vassununga State Park and surrounding areas.

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FIGURE S1. Map of the study site and detail of a sampling plot near Alter do Chão, State of Pará, Brazil.

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APPENDIX S1. Implementation in R of the greedy algorithm used to determine the optimal order of sample accumulation for maximum rate of discovery of new species. See Table 1 for times taken to conduct different sampling methods. FIGURE S1. Locations of the trees sampled in the primary forest in the Danum Valley Conservation Area and the Ulu Segama Forest Reserve. FIGURE S2. Mixed photography of sampling in the high canopy for ants. FIGURE S3. Unconstrained Detrended Correspondence Analysis (DCA) ordination of species composition for samples resulting from purse-string trapping and standard baiting. FIGURE S4. Unconstrained Detrended Correspondence Analysis (DCA) ordination of species composition for samples resulting from purse-string trapping, baited pitfall trapping and fogging.

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TABLE S1. Pearson's correlation between indicators of sampling intensity and indices of diversity. Values are given for 0.5° square grid cells.

FIGURE S1. Schematic behavior of species diversity (Sk) and floristic similarity (NNESSij/k) indices in connection with subsampling size variation.

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