Table 1 Predictors of the number of individuals, models output for each species.

Predictors	E. aurinia			P. apollo			P. arion
Predictors	Est	SE	p value	Est	SE	p value	Est	SE	p value
Intercept	− 0.445	0.287	0.121	− 1.853	0.191	< 0.001	− 4.006	0.385	< 0.001
sin(Time of the day)	− 0.056	0.099	0.57	0.445	0.089	< 0.001	0.627	0.15	< 0.001
cos(Time of the day)	− 0.937	0.148	< 0.001	− 1.182	0.106	< 0.001	− 0.881	0.153	< 0.001
Temperature	0.842	0.127	< 0.001	1	0.099	< 0.001	0.702	0.186	< 0.001
Temperature²	− 0.527	0.091	< 0.001	− 0.198	0.068	0.004	− 0.089	0.131	0.494
Number of persons	0.152	0.046	< 0.001	0.394	0.03	< 0.001	0.203	0.058	< 0.001
Sex (female as reference	0.984	0.163	< 0.001	0.771	0.12	< 0.001	1.667	0.204	< 0.001
sin(Time of the year)	1.482	0.139	< 0.001	0.685	0.091	< 0.001	− 0.877	0.17	< 0.001
cos(Time of the year)	0.051	0.19	0.787	− 0.662	0.099	< 0.001	− 0.844	0.189	< 0.001
sin(Time of the day)*Temperature	0.008	0.113	0.945	− 0.253	0.085	0.003	0.146	0.145	0.316
cos(Time of the day)*Temperature	0.533	0.179	0.003	0.55	0.12	< 0.001	0.586	0.192	0.002

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