Table 3.

Candidate models for linear mixed models for Northern Gannet Morus bassanus annual colony means for foraging trip duration and maximum distance from the colony, with colony and a distance matrix fitted as random effects. mAIC = marginal Akaike information criterion.

response	fixed effects				mAIC	Δ mAIC	pseudo r2
foraging trip duration ~	√colony size	+latitude			442.01	0	0.450
	√colony size	+latitude		+year	443.98	1.97	0.451
	√colony size				444.60	2.59	0.410
	√colony size		+longitude		446.47	4.46	0.411
	√colony size			+year	446.49	4.48	0.411
		latitude			447.87	5.86	0.379
	√colony size		+longitude	+year	448.35	6.34	0.412
		latitude		+year	449.30	7.29	0.384
			longitude		451.90	9.89	0.338
				year	452.47	10.46	0.332
			longitude	+year	452.97	10.96	0.348
	none				454.01	12.00	0.272
maximum distance from the colony ~	√colony size				655.24	0	0.632
	√colony size	+latitude			655.42	0.18	0.642
	√colony size		+longitude		656.41	1.17	0.636
	√colony size			+year	656.62	1.38	0.635
	√colony size	+latitude		+year	656.71	1.47	0.646
	√colony size		+longitude	+year	657.70	2.46	0.640
		latitude			668.74	13.50	0.545
		latitude		+year	670.64	15.40	0.546
			longitude		671.34	16.10	0.526
				year	671.78	16.54	0.523
	none				673.16	17.92	0.481
			longitude	+year	673.17	17.93	0.527