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Appendix S1. Detailed description of the model with equations and parameters.

Appendix S2. Background material considered which aided the choice of the small-scale parameters: C, D, e, f, and w.

Appendix S3. Background material considered which aided the choice of parameters governing the range of sensitivities of species.

Appendix S4. Background material considered which aided the choice of the large-scale parameters: y, z, v, x, a and therefore of their product, L.

Appendix S5. Background material considered concerning potential dilution effects.

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