Table 1.

Summary of generalized linear mixed-effect models statistics for effects of various traits on the ability of species to overcome two oceanographic barriers. (a) The effect of dropping each variable separately from full models (showing both Akaike information criteria (AIC) and χ²-test statistics). (b) The final predictive model (showing estimates, standard error and p-values). (Coefficient in bold indicates that p-value is significant (p < 0.05)).

	Mid-Atlantic Barrier						Amazon–Orinoco Plume (770)
	Western-Atlantic species only (770)			all species (985)
(a) variable	d.f.	AIC	Pr (χ2)	d.f.	AIC	Pr (χ2)	d.f.	AIC	Pr (χ2)
full model	11	377.3	—	8	501.1	—	11	642.8	—
rafting behaviour	10	383.8	0.003	7	565.6	<0.001	10	639.1	0.616
larval-development mode	9	376.2	0.238	6	499.3	0.336	9	652.8	<0.001
maximum body size	10	389.8	<0.001	7	523.2	<0.001	10	644.0	0.061
intra-regional latitudinal-range	10	416.6	<0.001	n.a.	n.a.	n.a.	10	793.8	<0.001
multi-habitat use	10	378.9	0.055	n.a.	n.a.	n.a.	10	645.8	0.025
maximum depth	10	375.8	0.491	n.a.	n.a.	n.a.	10	640.8	0.978
low-salinity affinity	10	377.3	0.160	n.a.	n.a.	n.a.	10	641.6	0.379
(b) variable	est.	s.e.	p	est.	s.e.	p	est.	s.e.	p
intercept	−10.324	1.174	<0.001	−6.258	0.699	<0.001	−7.026	0.818	< 0.001
rafting behaviour	1.550	0.484	0.001	2.434	0.394	< 0.001	n.a.	n.a.	n.a.
larval-development mode
pelagic versus demersal	n.a.	n.a.	n.a.	n.a.	n.a.	n.a.	0.044	0.340	0.908
pelagic versus balistid	n.a.	n.a.	n.a.	n.a.	n.a.	n.a.	0.721	0.827	0.382
demersal versus balistid	n.a.	n.a.	n.a.	n.a.	n.a.	n.a.	−0.676	0.856	0.429
maximum body size	2.310	0.538	<0.001	2.572	0.426	<0.001	0.832	0.386	0.031
intra-regional latitudinal-range	0.200	0.038	<0.001	n.a.	n.a.	n.a.	0.256	0.026	<0.001
multi-habitat use	−0.741	0.368	0.065	n.a.	n.a.	n.a.	0.577	0.230	0.012