Table 3 Posterior estimates for the parameters of one- and two-compartment models. The values indicate the means and the Bayesian 95% credibility ranges (CR) in parentheses.

From: Exploring source differences on diet-tissue discrimination factors in the analysis of stable isotope mixing models

Isotope/source

Tissue

One compartment

Two compartment

\(\delta X_{0}\)

\(\delta X_{\infty }\)

\(\lambda\)

DIC

\(\delta X_{0}\)

\(\delta X_{\infty }\)

\(\lambda_{1}\)

\(\lambda_{2}\)

\(p\)

DIC

\(\delta^{13} C\) 1

Muscle

 − 22.83 (− 23.2, − 22.5)

 − 19.23 (− 19.4, − 19.1)

0.20 (0.12, 0.69)

28.03

 − 23.83 (− 23.2, − 22.5)

 − 19.22 (− 19.4, − 19.0)

0.38 (0.05, 1.26)

0.39 (0.05, 1.27)

0.50 (0.03, 0.97)

28.46

Fin

 − 21.20 (− 21.5, − 20.7)

 − 17.95 (− 18.4, − 17.4)

0.03 (0.02, 0.05)

48.66

 − 21.34 (− 21.8, − 20.9)

 − 17.86 (− 18.3, − 17.3)

0.33 (0.01, 1.32)

0.30 (0.01, 1.25)

0.49 (0.04, 0.96)

46.02

2

Muscle

 − 22.81 (− 23.2, − 22.5)

 − 20.07 (− 20.2, − 19.9)

0.37 (0.10, 1.23)

25.72

 − 22.51 (− 22.8, − 22.2)

 − 20.06 (− 20.2, − 19.7)

0.45 (0.02, 1.33)

0.46 (0.02, 1.34)

0.50 (0.05, 0.95)

23.50

Fin

 − 21.35 (− 21.7, − 21.0)

 − 18.48 (− 18.9, − 18.1)

0.03 (0.02, 0.04)

39.40

 − 21.42 (− 21.8, − 21.0)

 − 18.48 (− 18.9, − 18.0)

0.36 (0.02, 1.32)

0.28 (0.02, 1.22)

0.47 (0.01, 0.98)

39.84

3

Muscle

 − 22.78 (− 23.1, − 22.5)

 − 20.14 (− 20.3, − 20.0)

0.27 (0.13, 1.03)

6.62

 − 22.78 (− 23.0, − 22.5)

 − 20.09 (− 20.2, − 19.8)

0.41 (0.02, 1.30)

0.41 (0.01, 1.30)

0.50 (0.04, 0.96)

5.34

Fin

 − 21.78 (− 22.1, − 21.4)

 − 18.51 (− 18.8, − 18.2)

0.04 (0.03, 0.06)

28.61

 − 21.82 (− 22.2, − 21.5)

 − 18.40 (− 18.8, − 17.8)

0.24 (0.01, 1.18)

0.28 (0.01, 1.26)

0.51 (0.01, 0.99)

30.31

4

Muscle

 − 22.82 (− 23.2, − 22.4)

 − 21.36 (− 21.6, − 21.1)

0.23 (0.04, 0.92)

33.95

 − 22.45 (− 22.8, − 22.0)

 − 21.32 (− 21.6, − 20.8)

0.47 (0.01, 1.36)

0.46 (0.01, 1.35)

0.50 (0.03, 0.97)

34.55

Fin

 − 21.52 (− 21.9, − 21.2)

 − 22.88 (− 23.5, − 22.2)

0.01 (0.00, 0.02)

47.36

 − 21.15 (− 21.5, − 20.7)

 − 22.82 (− 23.5, − 22.2)

0.26 (0.00, 1.25)

0.29 (0.00, 1.26)

0.52 (0.01, 0.99)

48.70

\(\delta^{15} N\) 1

Muscle

8.71 (8.4, 9.0)

10.41 (10.2, 10.7)

0.05 (0.03, 0.09)

22.06

8.67 (8.3, 9.0)

10.40 (10.1, 10.7)

0.30 (0.02, 1.24)

0.30 (0.02, 1.23)

0.50 (0.01, 0.98)

22.24

Fin

8.72 (8.3, 9.1)

11.42 (11.1, 11.7)

0.05 (0.03, 0.07)

37.32

8.68 (8.2, 9.0)

11.41 (11.1, 11.7)

0.27 (0.03, 1.21)

0.27 (0.03, 1.21)

0.50 (0.01, 0.99)

39.67

2

Muscle

8.67 (8.3, 9.0)

10.65 (10.4, 10.9)

0.07 (0.04, 0.12)

26.67

8.65 (8.2, 9.0)

10.65 (10.4, 10.9)

0.29 (0.03, 1.23)

0.30 (0.03, 1.23)

0.50 (0.01, 0.99)

28.90

Fin

8.80 (8.3, 9.2)

11.48 (11.2, 11.8)

0.06 (0.04, 0.09)

36.51

8.76 (8.3, 9.2)

11.48 (11.2, 11.8)

0.29 (0.03, 1.23)

0.29 (0.03, 1.23)

0.50 (0.01, 0.98)

38.62

3

Muscle

9.04 (8.8, 9.3)

8.95 (8.8, 9.3)

0.59 (0.02, 1.39)

9.64

9.04 (8.8, 9.3)

8.95 (8.8, 9.1)

0.59 (0.00, 1.39)

0.59 (0.00, 1.39)

0.48 (0.02, 0.97)

9.68

Fin

9.35 (9.1, 9.6)

7.12 (6.7, 7.5)

0.02 (0.01, 0.03)

10.73

9.38 (9.1, 9.6)

7.08 (6.6, 7.4)

0.27 (0.01, 1.22)

0.25 (0.01, 1.18)

0.49 (0.01, 0.99)

11.76

4

Muscle

9.04 (8.7, 9.4)

8.51 (8.3, 8.6)

0.52 (0.05, 1.34)

24.64

9.04 (8.7, 9.4)

8.49 (8.2, 8.7)

0.55 (0.01, 1.37)

0.55 (0.01, 1.38)

0.50 (0.03, 0.97)

24.55

Fin

9.17 (8.8, 9.5)

6.38 (5.7, 6.9)

0.02 (0.01, 0.03)

24.72

9.29 (9,0 9.6)

6.25 (5.6, 6.8)

0.24 (0.00, 1.19)

0.28 (0.00, 1.16)

0.52 (0.02, 0.98)

24.12

  1. Comparisons between one- and two-compartment models were done using the deviance information criterion (DIC).