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Figure S1 Spatial autocorrelation in connectivity for the two dispersal models, measured from the perspective of settlement sites.

Figure S2 Per-capita recruitment for both species over a range of the number of settling larvae of species A, for three levels of correlation in dispersal.

Figure S3 Effects of the intensity of competition on per-capita recruitment when species B is rare and settlement is uncorrelated.

Figure S4 Spatial correlations between the environmental response (Ex) and the competitive response (Cx) when species B is at low density.

Appendix S1 Recruitment rates in the spatially implicit model.

Appendix S2 Simulations of three-species coexistence.

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