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Table 4 Parameter estimates for the “best model” (as identified by BIC) for each bear.

From: Time-dependent memory and individual variation in Arctic brown bears (Ursus arctos)

ID

Model

\(\rho _{ns}\)

\(\kappa\)

\(\beta _1\)

\(\beta _2\)

\(\beta _3\)

\(\beta _4\)

\(\beta _5\)

\(\beta _6\)

\(\beta _0\)

\(\beta _d\)

\(\mu\)

\(\sigma\)

\(\lambda\)

\(\gamma\)

\(\alpha\)

GF1004

RM

0.382

0.502

0.182

0.240

1.270

−0.008

0.017

−0.034

0.1764

\(\sim\)1

353.6

10.9

0.509

0.759

−0.015

GM1046

RM

0.427

0.517

0.477

−0.797

1.310

−0.015

0.049

−0.010

0.3412

\(\sim\)1

358.4

11.8

0.391

0.772

−0.100

GF1008

R

0.443

0.525

0.173

−0.440

2.049

−0.027

−0.056

−0.082

N/A

0

N/A

N/A

0.527

0.852

N/A

GF1086

RM

0.219

0.229

0.405

−0.897

3.855

−0.102

0.095

−0.203

0.0006

\(\sim\)1

0.8

3.0

0.404

0.770

−2.910

GF1016

M

0.301

0.220

0

0

0

0

0

0

0.7311

0.9783

3.0

3.0

0.601

0.758

0.112

GF1041

R

0.404

0.575

0.236

−0.885

3.177

−0.017

−0.109

−0.102

N/A

0

N/A

N/A

0.399

0.785

N/A

GF1107

R

0.256

0.259

0.338

0.049

2.848

−0.009

−0.092

−0.020

N/A

0

N/A

N/A

0.452

0.751

N/A

GF1130

N

0.429

0.528

0

0

0

0

0

0

N/A

0

N/A

N/A

0.487

0.767

N/A

GF1005

R

0.653

0.332

0.245

−0.240

4.646

−0.032

−0.085

−0.067

N/A

0

N/A

N/A

0.472

0.758

N/A

GF1096

RM

0.399

0.401

0.306

−1.400

2.793

−0.020

−0.040

−0.092

\(\sim\)1

0.5010

350.7

26.6

0.406

0.794

−0.079

GF1167

M

0.463

0.574

0

0

0

0

0

0

0.7311

\(\sim\)1

364.8

6.3

0.387

0.761

−0.126

GF1079

RM

0.377

0.731

0.259

−1.737

3.603

−0.002

0.029

−0.054

\(\sim\)0

0.7604

0.8

3.0

0.171

0.786

−1.729

GF1089

M

0.297

0.186

0

0

0

0

0

0

0.7311

0.9852

2.6

3.0

0.377

0.739

0.068

GF1141

M

0.419

0.270

0

0

0

0

0

0

0.7311

\(\sim\)1

365.0

11.9

0.606

0.754

−0.023

GM1133

M

0.374

0.080

0

0

0

0

0

0

0.7311

\(\sim\)1

54.5

26.7

0.595

0.768

−0.212

GF1087

RM

0.399

0.296

1.205

−0.536

−2.837

−5.431

−0.467

0.743

0.9996

\(\sim\)1

356.0

8.2

0.393

0.742

−0.728

GF1108

N

0.376

0.211

0

0

0

0

0

0

N/A

0

N/A

N/A

0.273

0.880

N/A

GF1143

RM

0.387

0.722

0.147

−0.742

4.983

−0.035

0.037

−0.027

0.1159

0.9997

352.2

14.5

0.179

0.848

−0.119

GM1147

M

0.556

0.115

0

0

0

0

0

0

0.7311

\(\sim\)1

260.9

3.0

0.204

0.742

−0.477

GF1092

RM

0.296

0.000

0.512

1.259

2.934

−0.054

0.125

0.161

0.8500

\(\sim\)1

361.9

42.0

0.463

0.708

0.106

GF1146

M

0.411

0.549

0

0

0

0

0

0

0.7311

0.9998

350.0

3.0

0.286

0.819

−0.162

  1. Bears are listed in ascending order by number of GPS fixes. Note that the second letter of the bear ID indicates the sex of the individual. Bold text in the table indicates a parameter value that was fixed and not estimated for that model, and Bold “N/A” values indicate parameters that are not influential in the “best model” for that bear. Parameter estimates for \(\beta _0\) and \(\beta _d\) that are very close to but not exactly 0 or 1 are indicated as such with a “\(\sim\)”. See Additional file 1: Tables S2a and S2b for 95% confidence intervals for each bear and each parameter