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Table 3 Comparison of models used to test water temperature-dependent relationships between Alligator Gar (Atractosteus spatula) displacement and changes in discharge in the Brazos and trinity rivers

From: Meta-analysis of a megafish: assessing patterns and predictors of Alligator Gar movement across multiple populations

Parameters

Model

K

logLik

AICc

ΔAICc

ω

Adj. R2

ΔQ*T*Study

GAM

7

-2573.368

5161.2

0

0.995

0.18

ΔQ*T + Study

GLM

6

-2580.652

5173.6

12.5

< 0.01

0.15

ΔQ*T*Study

GLM

9

-2577.538

5173.7

12.6

< 0.01

0.16

ΔQ*T + Study

GAM

5

-2582.834

5175.9

14.7

< 0.01

0.14

ΔQ*T

GLM

5

-2584.214

5178.6

17.5

< 0.01

0.14

ΔQ + T

GAM

5

-2585.383

5182.4

21.2

< 0.01

0.13

ΔQ*T

GAM

4

-2586.976

5183.8

22.6

0

0.12

ΔQ + T

GLM

4

-2587.972

5184.1

22.9

0

0.12

ΔQ

GAM

3

-2589.96

5188.0

26.8

0

0.11

ΔQ

GLM

3

-2592.477

5191.0

29.9

0

0.10

T

GAM

3

-2600.295

5208.6

47.5

0

0.06

T

GLM

3

-2602.300

5210.7

49.5

0

0.05

Null

GLM

2

-2612.399

5228.8

67.7

0

0.00

Null

GAM

2

-2612.399

5228.8

67.7

0

0.00

  1. Model parameters represent continuous measures of change in daily average discharge (ΔQ; z-score transformed) and daily average water temperature (T; °C) as well as a categorical factor representing the Brazos River or Trinity River mobile telemetry dataset (Study). Candidate model structures included generalized additive models (GAMs) for non-monotonic relationships or generalized linear models (GLMs) for monotonic relationships across seven possibilities: (1) null (intercept only), (2) fixed effect of T, (3) fixed effect of ΔQ, (4) two-way additive (+) modelling, (5) two-way interactive (*) modelling, (6) two-way interactive modelling and an additive effect, and (7) three-way interactive modelling. The table shows the number of parameters in the model (K), log-likelihood (LogLik), Akaike information criterion score adjusted for small sample size (AICc), the difference in AICc from the top model (ΔAICc), the Akaike weight (ω), and Adjusted R2 values. Bolded text denotes the top model