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Table 1 Mean a standard deviation estimated from posteriori distributions obtained for four exotic plant species (Acacia dealbata, Cytisus striatus, Teline monpessulana and Ulex europaeus), using four a priori distribution (Informative, Jeffreys, Uniform and Haldane), Central Chile. \({\theta }_{1}\) represents the occupancy of species in the Coast and \({\theta }_{2}\) represents their occupancy in the Central Valley

From: On the use of prior distributions in bayesian inference applied to Ecology: an ecological example using binomial proportions in exotic plants, Central Chile

Species

Informative

Jeffreys

Uniform

Haldane

Acacia dealbata

\({\theta }_{1}: \mu =\) 0.5414

\(\sigma =\) 0.0369

\({\theta }_{2}\): \(\mu =\) 0.6243

\(\sigma =\) 0.0359

\({\theta }_{1}: \mu =\) 0.653

\(\sigma =\) 0.041

\({\theta }_{2}: \mu =\) 0.675

\(\sigma =\) 0.04

\({\theta }_{1}: \mu =\) 0.6519

\(\sigma =\) 0.041

\({\theta }_{2}: \mu =\) 0.6741

\(\sigma =\) 0.040

\({\theta }_{1}: \mu = 0.6541\)

\(\sigma = 0.041\)

\({\theta }_{2}: \mu =\) 0.6761

\(\sigma =\) 0.0404

Cytisis striatus

\({\theta }_{1}: \mu = 0.333\)

\(\sigma = 0.0359\)

\({\theta }_{2}\): \(\mu =\) 0.2143

\(\sigma =\) 0.0292

\({\theta }_{1}: \mu =\) 0.347

\(\sigma =\) 0.041

\({\theta }_{2}: \mu =\) 0.2873

\(\sigma =\) 0.0389

\({\theta }_{1}: \mu =\) 0.3481

\(\sigma =\) 0.0408

\({\theta }_{2}: \mu =\) 0.2889

\(\sigma =\) 0.0389

\({\theta }_{1}: \mu = 0.3459\)

\(\sigma = 0.041\)

\({\theta }_{2}: \mu =\) 0.2857

\(\sigma =\) 0.039

Teline monspessulana

\({\theta }_{1}: \mu =\) 0.4845

\(\sigma =\) 0.0393

\({\theta }_{2}\): \(\mu =\) 0.3214

\(\sigma = 0.0333\)

\({\theta }_{1}: \mu =\) 0.35

\(\sigma = 0.0417\)

\({\theta }_{2}: \mu =\) 0.2873

\(\sigma =\) 0.039

\({\theta }_{1}: \mu =\) 0.3704

\(\sigma =\) 0.0414

\({\theta }_{2}: \mu =\) 0.2889

\(\sigma =\) 0.0389

\({\theta }_{1}: \mu = 0.3684\)

\(\sigma =\) 0.0417

\({\theta }_{2}: \mu =\) 0.2857

\(\sigma =\) 0.039

Ulex europaeus

\({\theta }_{1}: \mu = 0.345\)

\(\sigma =\) 0.0362

\({\theta }_{2}\): \(\mu =\) 0.2908

\(\sigma =\) 0.0324

\({\theta }_{1}: \mu =\) 0.3545

\(\sigma = 0.0412\)

\({\theta }_{2}: \mu =\) 0.2724

\(\sigma =\) 0.0383

\({\theta }_{1}: \mu =\) 0.3556

\(\sigma =\) 0.041

\({\theta }_{2}: \mu =\) 0.2741

\(\sigma =\) 0.0382

\({\theta }_{1}: \mu =0.3534\)

\(\sigma =0.0413\)

\({\theta }_{2}: \mu = 0.2707\)

\(\sigma =\) 0.0384