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Figure S1 (a) The frequency distribution of the number of records for 1012 acacia species, and (b) the relationship between the number of records and the convex hull estimates of the geographical range sizes.

Figure S2 The discrepancy (prediction–observation) from the randomization tests for species lists at different geographical scales (South Africa: SAPIA; southern Africa and rest of Africa: Richardson & Rejmánek, 2011) (a), for different functions (forestry, dune stabilization and ornamental; Richardson & Rejmánek, 2011) (b) and for different geographical regions; Richardson & Rejmánek, 2011) (c).

Table S1 Range sizes of Australian acacias estimated from the revised α-hull at different scales and convex hull, as well as the nonlinear regression results for the percolation intercept and slope.

Table S2 A description of the 30 species lists as well as the median and 95% confidence interval of the discrepancy of three macroecological variables.

Table S3 Species in the cluster with the highest proportion of invasive acacias.

Table S4 Statistic results of the cascaded comparison for seed exportation, global and South Africa experiments.

Animation S1 Relationships between the percolation intercept ln(a), exponent ln(b) and the logarithms of range size (P128) for Australian acacias, forming a cone shape in the 3D space.

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