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. 2017 Nov 23;7:16198. doi: 10.1038/s41598-017-16417-y

Table 3.

Arion diversification tests using speciation and extinction rate-constant models and rate-variable linear diversity-dependent logistic (DDL), exponential diversity-dependent (DDX) and yule-2-rate.

Package Function IST Model λ 0 or r 0 μ 0 Extra parameters AIC Δ AIC
Laser fitdAICrc no* Pure-birth (λA) 0.135 30.666 7.525
Laser fitdAICrc no* Birth-death (λ 0A, μ 0A) 0.135 0.000 32.666 9.525
Laser fitdAICrc no* DDL ( r 0 A, K A) 1.579 K=16.727 18.831 0.000
Laser fitdAICrc no* DDX (r 0A, xpA) 0.584 xp = 1. 072 20.018 4.770
Laser fitdAICrc no* yule2rate (r 0A, r 1A) 0.254 r 1 = 0.034, t1 = 3.85 22.658 3.827

Bold  identifies the best-fit model. AIC’s and the difference in AIC’s with the best model (∆AIC) are shown. IST, incomplete sampling taxa; λ 0A, the initial speciation rate in Arion; μ 0A, the initial extinction rate in Arion; μ 0, extinction rate when applicable; K, carrying capacity parameter of DDL and DDD models; r 0 (= λ 0 − μ0), initial net diversification rate for diversity dependent linear (DDL), diversity dependent exponential (DDX), yule2rate (or constant net diversification rate for pure-birth and birth-death model) and DDD models; r1 = net diversification rate after the first shift at time t1; xp, exponent of DDX model; * package function does not include provision to take into account incomplete taxon sampling; ‡ the parameter in the model is fixed to zero.