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Appendix S1: Analysis of deviation from linear approximation.

Appendix S2: Derivation of the asymptotic increase in abundance of an open population.

Appendix S3: Derivation of transient metrics for Case 2, the open population model.

Appendix S4: Analysis of populations with a mixture of open and closed demographics.

Appendix S5: Analysis of effects of stochastic variation in larval recruitment.

Table S1: Baseline model parameters for kelp rockfish, Sebastes atrovirens.

Figure S1: Example of transient dynamics with and without density dependence.

Figure S2: Deviation between transient dynamics with and without density dependence.

Figure S3: Transient population growth rate (Nt+1/Nt) with and without density dependence.

Figure S4: Sensitivity of transient dynamics to parameters k and β.

Figure S5: Results of simulations with a mixture of open and closed demographics.

Figure S6: Sensitivity of first and second eigenvalues of A, λ1 and λ2, to variation in recruit survival.

Figure S7: Examples of transient dynamics with stochasticity in larval recruitment.

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