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Table 2 Tests of mating system evolution hypotheses

From: Driving south: a multi-gene phylogeny of the brown algal family Fucaceae reveals relationships and recent drivers of a marine radiation

Scenario

Df

λ0

λ1

μ0

μ1

q01

q10

logLik

AIC

P

Asymmetric parameters

6

0.000

0.289

0.398

0.000

0.441

0.524

-48.299

108.597

 

Asymmetric speciation

4

0.000

0.350

μ1~μ0

q01~q10

-48.519

105.040

·

Asymmetric extinction

4

λ1~λ0

0.364

0.000

q01~q10

-48.997

106.000

·

Source (dioecious)-sink system

4

λ1~λ0

μ1~μ0

0.086

-

-54.358

114.720

*

Source (hermaphoditic)-sink system

4

λ1~λ0

μ1~μ0

-

0.073

-52.686

111.370

**

Symmetric parameters (MK1)

3

λ1~λ0

μ1~μ0

q01~q10

-49.261

104.522

·

Sink-sink system (MK2)

4

λ1~λ0

μ1~μ0

0.758

0.538

-49.068

106.135

·

Significance codes: 0 < *** < 0.001 < ** < 0.01 < * < 0.05 < · < 0.1 < NS < 1

  1. Speciation (λ), extinction (μ) and transition (q) rates between the two states of the mating system character (0, dioecious; 1, hermaphroditic). Complete asymmetric model and different scenarios of state-independent and state-dependent diversification (rates constrained to be equal), and unidirectional and bidirectional transitions were tested: 1) asymmetric model; 2) asymmetric speciation or state-independent extinction and transition rates; 3) asymmetric extinction or state-independent speciation and transition rates; 4) Source (dioecious)- sink system or state-independent diversification rates and transition from hermaphroditic to dioecious state constrained to 0; 5) Source (hermaphroditic)- sink system or state-independent diversification rates and transition from dioecious to hermaphroditic state constrained to 0; 6) symmetric parameters or MK1 model; 7) Sink-sink system or MK2 model [81–84, 86]. Log-likelihood, Akaike information criteria (AIC) and log-likelihood ratio test (P) are also provided for comparison between models.