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Table 1 Final best-fit general linear (GLM) and general linear mixed models (GLMM) examining variation in area use, nightly travel distances, and activity as determined using GPS-enhanced dead-reckoned data

From: Dead-reckoning facilitates determination of activity and habitat use: a case study with European badgers (Meles meles)

Model no.

Response

Fixed effects

AICc

Marginal R2

Conditional R2

Final model effects

χ2

df

p

1

Area use

Average distance + Average sum VeDBA

7.557

–

–

Average distance

Average sum VeDBA

20.311

4.389

1

1

<0.001

0.036

2

Distance travelled per night

Sum VeDBA + Average speed*Sum tortuosity + Hours + Average temperature

470.932

0.958

0.975

Sum VeDBA

Speed

Sum tortuosity

Hours

Average temperature

Speed:Sum tortuosity

7.339

52.740

5.404

3.340

2.770

5.161

1

1

1

1

1

1

0.007

<0.001

0.020

0.068

0.096

0.023

3

Sum VeDBA per night

Hours + Average speed + Sum tortuosity

584.064

0.681

0.753

Hours

Average speed

Average temperature

51.238

0.018

0.125

1

1

1

<0.001

0.893

0.726

4

% Time spent (sqrt transformed)

Habitat

512.235

0.592

0.595

Habitat

162.163

3

<0.001

5

Distance travelled

Habitat

627.361

0.510

0.510

Habitat

71.742

3

<0.001

6

Average VeDBA per second

Habitat

345.158

0.155

0.502

Habitat

20.587

3

<0.001

7

Average speed (log transformed)

Habitat

109.676

0.248

0.580

Habitat

38.949

3

<0.001

8

Average tortuosity per second (sqrt transformed)

Habitat

439.677

0.256

0.354

Habitat

26.361

3

<0.001

  1. Model numbers (1–8) are shown, alongside the dependent ‘response’ variable (and relevant transformations). Independent variables (‘fixed effects’) are shown with an asterisk (*) denoting an interaction between variables and a plus sign (+) denoting main effects. AICc represents the Akaike information criterion values corrected for small sample sizes, which were used to select the final best-fit model. Marginal and conditional R2 values are noted. Final model effects are shown, with corresponding Chi-squared statistic (χ2), degrees of freedom (df), and probability value (p). Significant p values are shown in bold. Model 1 was a GLM examining variation in area use during the collared period using Kernel Density Estimate (KDE). Models 2 and 3 were GLMMs examining GPS-enhanced dead-reckoned travel distances and sum VeDBA per night, respectively, with Badger ID included as a random effect to account for repeated measures from individuals. Models 4–8 were also GLMMs with Badger ID included as a random effect, and examined variation in time spent, distance travelled, and activity (VeDBA, speed, and tortuosity) in different habitats