Table 2 Posterior mean, standard deviation, 2.5% and 97.5% quartiles for the binomial models of tick presence–absence with the data from public submissions (Dataset 2) and the combined dataset (Dataset 3)

Model 2: Presence–absence model with presence points from public submissions plus absence points

Intercept

− 6.2657

1.0232

− 8.3326

− 4.3135

NDVI August^a

0.1373

0.0176

0.1040

0.1732

No. days of air frost November

− 0.1729

0.0521

0.2784

− 0.0738

Rain April

− 0.0148

0.0053

− 0.0255

− 0.0045

% cover of coniferous woodland

5.1989

1.2015

3.0921

7.8095

% cover of moorland

2.2180

0.5656

1.1499

3.3725

Interaction between latitude and longitude

0.0053

0.0036

− 0.0017

0.0123

Model 3: Presence–absence model with composite dataset

Intercept

− 3.4700

0.4771

− 4.4160

− 2.5424

NDVI August

0.0005

0.0001

0.0004

0.0006

Deer density

0.0336

0.0100

0.0139

0.0533

No. days of air frost November

− 0.0527

0.0207

− 0.0936

− 0.0122

Rain April

− 0.0123

0.0020

− 0.0163

− 0.0085

% cover of moorland

1.3920

0.1640

1.0726

1.7161

% cover of deciduous woodland

3.1762

0.6757

1.9203

4.5770

% cover of coniferous woodland

2.1861

0.2128

1.7753

2.6100

Interaction between latitude and longitude

− 0.0029

0.0013

− 0.0054

− 0.0004