Strategies for improving approximate Bayesian computation tests for synchronous diversification

Table 3 Mode estimates of Ψ and Ω for empirical datasets under the most likely model, with and without buffering

	β	β_years	Ψ_mode	E[τ]	Ω_mode	BF(Ψ = 1,Ψ > 1)
Frogs	0	N/A	1	0.106	0.0036	1
	0.05	8.0 × 10⁴	1	0.486	0.010	1.80
Fishes	0	N/A	1	0.054	0.0017	1
	0.05	8.9 × 10⁴	1	0.198	0.003	1.41
Butterfly (Full)	0	N/A	15	0.378	0.108	~0
	0.05	3.2 × 10⁴	5	0.389	0.113	~0

Mode estimates for Ψ and Ω, and mean and variance of τ estimated for each of the empirical datasets (three fish, four frog, three butterfly and 116 butterfly taxon-pairs). β, E[τ], and Ω_mode are reported in coalescent units. Β_years is size of the buffer rescaled to years based on the assumed mutation rates and generation times of the focal taxa. All empirical analyses were performed with a uniform prior on Ψ, sorted summary statistics vectors, and reference tables composed of 3 × 10⁶ samples from the prior distribution

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