Table 1 Model fit quantified as marginal likelihoods for three covariates under analysis with Bayes factors providing support for the best model (exponential density dependence) against all alternative models. Model parameters include the baseline origination and extinction rates (λ0, μ0) and the correlation parameters for origination and extinction

From: Competition and extinction explain the evolution of diversity in American automobiles

Covariate

Model

λ 0

μ 0

γ λ

γ μ

Marg. Likelihood

BF

Diversity

Exponential

0.260

0.247

−2.307

−2.147

−17,582

-

Diversity

Linear

0.290

0.274

−1.621

−1.572

−17,626

43

Oil Price

Exponential

0.024

0.053

−2.815

−1.719

−18,386

803

Oil Price

Linear

0.040

0.076

−5.432

−2.038

−18,540

958

GDP Change

Exponential

0.206

0.199

−1.779

−1.831

−18,704

1,121

GDP Change

Linear

0.200

0.191

−0.896

−0.814

−18,800

1,217