Table_S1.Rmd

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Table S1: Prior and parameter descriptions for the Stan Model.

| Parameter & Prior | Description |
|    :---   | :--- |
| $\alpha_i \sim Beta(1,1)$       | Amplification efficiency for species $i$   |
| $\log(\gamma_{Mijt}) \sim Normal(0,4)$ | True biomass of each species at each site-year  |
| $\log(\eta_{jtk}) \sim Normal(-4,4)$   | Estimated offset for each PCR reaction at each site-year  |
| $\tau_0 \sim Normal(0,2)$        | Negative Binomial shape parameter intercept      |
| $\tau_1 \sim Normal(0,2)$        | Negative Binomial shape parameter slope      |