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Appendix S1. Invasion criteria and local stability analysis for the four species food web with keystone predation

Appendix S2. Local dynamics of keystone predation: key aspects of the competition–predation trade-off

Appendix S3. Spatial dynamics of keystone predation: effects of dispersal on transient dynamics and species’ abundance patterns

Figure S2.1. Key aspects of the trade-off between competitive ability and predator susceptibility

Figure S2.2. The interplay between trade-off strength and extinction during transient oscillations

Figure S3.1. Long-term abundances of the two consumers and the predator as a function of trade-off strength in low-, intermediate- and high-resource productivity habitats for the various dispersal scenarios when extinction due to small population size is not considered

Figure S3.2. Long-term abundances of the two consumers and the predator as a function of trade-off strength in low-, intermediate- and high-productivity habitats for the various dispersal scenarios when extinction due to small population sizes is taken into account

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