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Table 2 Percentage of deviance explained, AIC (Akaike’s Information Criterion), θ parameter in the variance of the negative binomial distribution, basis dimension (k) and effective degrees of freedom (e.df) of the functional linear predictor and the spatial smooth according to model 1 and model 2 in both plots. Inventory 2001, Inventory 2006, Inventory 2010, and Inventory 2014 indicate the effective degrees of freedom of the spatial smooth during the four inventories in model 2

From: Modeling sapling distribution over time using a functional predictor in a generalized additive model

Feature

Intermediate stage of the regeneration period

End of the regeneration period

Model 1

Model 2

Model 1

Model 2

Deviance explained (%)

40.7

41.0

34.8

41

AIC

1 3120.98

1 3432.74

5083.48

5184.80

θ of variance

1.53

1.42

0.83

0.76

k of f1

10

10

10

10

e.df of f1

3.47

3.599

4.33

4.40

k of f2

100

100

30

30

e.df of f2 in model 1

90.42

24.50

Inventory 2001

69.60

19.47

Inventory 2006

65.64

17.30

Inventory 2010

63.42

16.28

Inventory 2014

63.11

13.15

  1. f1 linear predictor, f2 spatial smoother