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Appendix S1 Conditions under which the multiplier effect works (two site types).

Appendix S2 Effect of dispersal rate on fitness (two site types).

Appendix S3 ESS analysis when density dependence acts at the whole population level during the non-breeding season.

Appendix S4 Effect of dispersal rate on fitness (multiple site types).

Appendix S5 The ESS dispersal probability.

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