Table 1.

Summary of results of generalized linear mixed models indicating effect of patch (female number) (fixed factor) and fish id (random factor) on (a) proportion of visits (I_visit) (b) proportion of time spent (I_time).

(a) (8F, 4F, 2F, 0F)
Null model: I_visit ~ (1|FishID) AIC: − 118.9
Selected model: I_visit ~ Patch + (1|FishID) AIC: − 139.7
Variable	Estimate	Std. error	z-score	p
Intercept	− 1.70	0.19	− 8.76	≪ 0.01
Patch 8F	1.07	0.25	4.31	≪ 0.01
Patch 4F	0.61	0.25	2.39	0.01
Patch 2F	0.68	0.25	2.69	< 0.01

(b) (8F, 4F, 2F, 0F)
Null model: I_time ~ (1|FishID) AIC: − 72.64
Selected model: I_time ~ Patch + (1|FishID) AIC: − 84.58
Variable	Estimate	z-score	df	p
Intercept	− 1.61	0.13	− 12.21	≪ 0.01
Patch 8F	0.92	0.16	5.42	≪ 0.01
Patch 4F	0.44	0.17	2.52	0.01
Patch 2F	0.59	0.17	3.43	≪ 0.01

The AIC values of selected models along with estimate values, t-scores, degrees of freedom (df) and p values for each factor are shown. p values ≤ 0.05 is considered significant. Patch0F, Patch2F, Patch4F, and Patch8F signify patches with 0, 2, 4, and 8 females, respectively.