Table 2 Informative priors (indicating the mean and standard deviation) for the Bayesian isotope incorporation model parameters and for the diet-to-tissue discrimination factors (DTDFs) that were used in isotope mixing models.
Diet source | Parameter | \(\delta {}^{13}C\) | \(\delta {}^{15}N\) | ||
|---|---|---|---|---|---|
Muscle | Fin | Muscle | Fin | ||
1 | \(\delta X_{\infty }\) |  − 19, 10 |  − 17, 10 | 10, 10 | 12, 10 |
\(\delta X_{0}\) |  − 23, 10 |  − 21, 10 | 9, 10 | 9, 10 | |
\(\lambda\) | 0.1, 5 | 0.1, 5 | 0.1, 5 | 0.1, 5 | |
2 | \(\delta X_{\infty }\) |  − 20, 10 |  − 18, 10 | 11, 10 | 12.5, 10 |
\(\delta X_{0}\) |  − 23, 10 |  − 21, 10 | 9, 10 | 9, 10 | |
\(\lambda\) | 0.1, 5 | 0.1, 5 | 0.1, 5 | 0.1, 5 | |
3 | \(\delta X_{\infty }\) |  − 20, 10 |  − 18, 10 | 9, 10 | 7, 10 |
\(\delta X_{0}\) |  − 23, 10 |  − 21, 10 | 9, 10 | 9, 10 | |
\(\lambda\) | 0.1,5 | 0.1, 5 | 0.1, 5 | 0.1, 5 | |
4 | \(\delta X_{\infty }\) |  − 21, 10 |  − 23, 10 | 8, 10 | 7, 10 |
\(\delta X_{0}\) |  − 23, 10 |  − 21, 10 | 9, 10 | 9, 10 | |
\(\lambda\) | 0.1, 5 | 0.1, 5 | 0.1, 5 | 0.1, 5 | |
1 | \(\Delta \overline{X}_{d - t}\) |  − 4, 5 |  − 3, 5 | 0.5, 5 | 1.5, 5 |
2 | \(\Delta \overline{X}_{d - t}\) | 3, 5 | 5, 5 | 0.1, 5 | 0.9, 5 |
3 | \(\Delta \overline{X}_{d - t}\) | 3, 5 | 4, 5 | 7, 5 | 6, 5 |
4 | \(\Delta \overline{X}_{d - t}\) | 5.5, 5 | 4.5, 5 | 8, 5 | 6, 5 |