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Table 1 Model selection results for the linear models of the log10-transformed cumulative nymphal density

From: Climate and tree seed production predict the abundance of the European Lyme disease vector over a 15-year period

Rank

Model structure

df

logLik

AIC

ΔAIC

Weight1

Weight2

r2

1

log10(CND) ~ S+Y+B+RH2

7

33.0

− 48.7

0.0

76.0

76.0

73.2

2

log10(CND) ~ S+Y+B+RH2+S:Y

9

33.6

− 43.6

5.2

6.0

82.0

72.4

3

log10(CND) ~ S+Y+B+SD2

7

30.4

− 43.5

5.3

5.0

87.0

69.7

4

log10(CND) ~ S+Y+B+T2

7

30.4

− 43.4

5.3

5.0

92.0

69.6

5

log10(CND) ~ S+Y+B+RH2y-1

7

29.4

− 41.4

7.3

2.0

94.0

68.1

6

log10(CND) ~ S+Y+B+SD2y-1

7

29.1

− 40.8

7.9

1.0

95.0

67.7

  1. Notes: Model selection results are shown for the linear models with normal errors of the log10-transformed CND response variable. The explanatory variables were elevation site, year, beech masting 2 years prior, and the climate variables from the field and the Climap-net database. The models are ranked according to their Akaike Information Criterion (AIC). Of the 52 models in the set, only the 6 top models are shown for which the cumulative support (Weight 2) is 95%. Shown for each model are the model rank (Rank), model structure (see below for explanation of variable acronyms), model degrees of freedom (Df), log-likelihood (logLik), Akaike information criterion (AIC), difference in the AIC value from the top model (ΔAIC), model weight (Weight1), cumulative model weight (Weight2), and adjusted r-squared value (r2). Additional file 1: Section 6 shows the results from the full model selection. The acronyms for the explanatory variables are as follows: S, site; Y, year; B, beech mast score 2 years prior; S:Y, interaction between site and year; RH2, mean annual relative humidity from the field data in the same year; SD2, mean annual saturation deficit from the field data in the same year; T2, mean annual temperature from the field data in the same year; RH2y-1, mean annual relative humidity from the field data in the previous year (y-1); SD2y-1, mean annual saturation deficit from the field data in the previous year (y-1)