Table 2 Results of mixed linear models (GLMMs and LMMs) relating weed seed predation rates (based on seed cards count) to proportion of arable crops, pesticide intensity and activity-density (AD) of seed-eating (SE) carabids in interaction with session. Followed by models relating the number of seed eaten per seed-eating (SE) carabid to proportion of arable crops, pesticide intensity and alternative prey biomass in interaction with session.

Response variable (y)
Model (n)	AIC	R²m	R²c	Explanatory variable (x)	Est. (std. error)	χ²	df	P-value
Predation rates (seed cards)
GLMM (n = 116)	1333.6	0.10	0.34	log(SE):Session	S1: 0.20 (0.16); P > 0.05 ns	7.81	1	0.005**
				log(SE):Session	S2: 0.78 (0.18); P < 0.001***	7.81	1	0.005**
				log(SE)	0.20 (0.16)	1.73	1	0.189
				Session	S1: 0.16 (0.02)^a; S2: 0.07 (0.01)^b	12.30	1	< 0.001***
				PesticideIntensity	− 0.08 (0.07)	1.43	1	0.232
				pCrop	0.57 (0.20)	0.22	1	0.640
Seed eaten per seed-eating carabid
LMM (n = 101)	300.1	0.23	0.40	log(Aphid):Session	− 0.23 (0.09)	3.79	1	0.052
				log(Aphid)	− 0.31 (010)	6.25	1	0.012*
				Session	S1: 0.49 (0.07)^a; S2: 0.18 (0.03)^b	27.40	1	< 0.001***
				PesticideIntensity	0.09 (0.76)	0.09	1	0.761
				pCrop	0.52 (0.62)	0.73	1	0.394
	290.8	0.28	0.63	log(Collembola + 0.5):Session	S1: 0.16 (0.07); P = 0.02	27.96	1	< 0.001***
				log(Collembola + 0.5):Session	S2: − 0.18 (0.06); P = 0.01	27.96	1	< 0.001***
				log(Collembola + 0.5)	0.16 (0.07)	5.98	1	0.014*
				Session	S1: 0.47 (0.06); S2: 0.17 (0.03)	1.35	1	0.245
				PesticideIntensity	0.11 (0.07)	2.44	1	0.118
				pCrop	0.61 (0.73)	0.71	1	0.400
	309.2	0.17	0.32	log(Arachnida):Session	− 0.02 (0.11)	0.32	1	0.570
				log(Arachnida)	0.08 (0.21)	0.04	1	0.837
				Session	S1: 0.47 (0.07)^a; S2: 0.19 (0.03)^b	16.28	1	< 0.001***
				PesticideIntensity	0.08 (0.06)	1.45	1	0.229
				pCrop	0.37 (0.66)	0.31	1	0.575
	301.5	0.22	0.37	log(Total animal):Session	− 0.32 (0.11)	0.61	1	0.436
				log(Total animal)	− 0.36 (012)	7.77	1	0.005**
				Session	S1: 0.49 (0.07)^a; S2: 0.18 (0.03)^b	26.87	1	< 0.001***
				PesticideIntensity	0.04 (0.06)	0.43	1	0.511
				pCrop	0.40 (0.61)	0.44	1	0.507

For each model we reported the type of model with the number of observations (n), AIC, marginal and conditional R-squared (R²m and R²c), and for each variable in the model we report the estimate with standard error (est. (std. error)), the Wald Chi square-value (χ²), test degrees of freedom (df) and the P-value. Where the interaction between carabids AD or prey biomass with session was significant, we report the estimate with standard error (est. (std. error)) and indicate if the slope is different from 0 (P-value) for each sampling session. For qualitative factors, such as session (S1: session 1; S2: session 2) we report the estimated marginal means (std. error) and an associated letter indicating the significance of the difference between the two sessions.

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