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Table 2 Best fitting parameterizations of the Conditional Arnason–Schwarz and POPAN Models

From: Fungal infection has sublethal effects in a lowland subtropical amphibian population

Model

# of parameters

Deviance1

AIC2

ΔAIC3

AIC weights4

Conditional Arnason–Schwarz modela

 Φ(.)p(to+t)Ψ(f * to + t)

21

487.1455

529.1455

0

0.4210

 Φ(.)p(t)Ψ(f * to + t)

20

490.8493

530.8493

1.7038

0.1796

 Φ(f)p(to + t)Ψ(f * to + t)

22

487.1309

531.1309

1.9854

0.1560

 Φ(f)p(t)Ψ(f * to + t)

21

489.683

531.683

2.5375

0.1183

 Φ(t)p(t)Ψ(f * to + t)

28

480.4241

532.4241

3.2786

0.0817

 Φ(.)p(to + t)Ψ(t)

20

495.8178

535.8178

6.6723

0.0150

 Φ(t)p(to + t)Ψ(f * to + t)

29

477.9171

535.9171

6.7716

0.0143

 Φ(.)p(to + t)Ψ(i)

12

511.9563

535.9563

6.8108

0.0140

 Φ(f * t)p(to * t)Ψ(f * to * t)

54

460.0165

546.0165

16.871

0

 Φ(.)p(.)Ψ(.)

3

581.9903

587.9903

58.8448

0

POPAN modelb

 Φ(.)p(t)pent(t)

14

− 1028.251

417.6716

0

0.9962

 Φ(t)p(t)pent(t)

20

− 1030.5198

428.8351

11.1635

0.0038

 Φ(t)p(.)pent(t)

15

− 1004.0417

444.0828

26.4112

0

 Φ(.)p(.)pent(t)

9

− 962.111

473.0152

55.3436

0

 Φ(.)p(.)pent(.)

3

30,658.918

32,081.5399

31,663.8683

0

 Φ(t)p(t)pent(.)

15

30,659.738

32,107.8919

31,690.1903

0

  1. Italicized terms are AIC values indicating the best fit models
  2. 1Deviance is a measure for how well the model fits the data
  3. 2Akaike’s information criterion
  4. 3Change in AIC from the single best fit model
  5. 4AIC weight is the model probability within the candidate model set
  6. aProbabilities estimated are survival (Φ), capture (p), and disease state change (Ψ); and the variables examined to influence Φ, p and Ψ were time in months (t), Bd state at previous capture (to), Bd state of capture (f) and no variable (.)
  7. bProbabilities estimated are Φ, p, and probability of entry into the population (Pent); these were modeled as either dependent upon time (t) or no variable (.)