Appendix S1. – Supplemental Methods (a) Field

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Mar 25, 2014 - 0.173. 0.012. -0.004. 3.50. 0.039. 3.90. 0.032. 0.128. +. 0.170. 0.040 ... 6.60. 0.011. 0.672. +. 0.082. 0.008. 0.020. 6.61. 0.011. 2.555. -0.084.
Appendix S1. – Supplemental Methods

(a) Field margin types: At the local scale, three types of field margins were chosen to represent different levels of structural complexity: (i) grass margin, a perennial grass buffer strip without any nearby tree; (ii) simple hedgerow, a grass buffer strip adjacent to a single storied hedge ( i.e. treeline of full grown trees, formed by a few dominant species, either plane tree Platanus hybrida Brot., white mulberry Morus alba L., or white willow Salix alba L.); (iii) complex hedgerow, a grass buffer strip with a multi-storied hedgerow on the edge (averaged number of tree and shrub species 7.7 ± 2.3; included representative species: elder Sambucus nigra L., common dogwood, blackberry Rubus fruticosus L., Cornus sanguinea L. , field maple Acer campestre L., black locust Robinia pseudoacacia L., common hornbeam Carpinus betulus L., field elm Ulmus minor Mill., or wild cherry Prunus avium L.) (Sitzia et al. 2013). Each field margin was characterized by sampling plant species composition. Sampling was conducted in three plots of 1 × 3 m located along a transect parallel to the field margin. One plot was placed in the middle part of each field margin with the largest side parallel to the field margin. The other two plots were placed at the two margins at least 10 m away from the central plot. For hedgerows, the plots were placed in order to cover both the trees and the grass buffer strip. Vascular plants were recorded to species level (presence/absence data) and once before the first cut of the grass buffer strip at the end of May.

(b) Hedgerow configuration: We calculated the following configuration metrics: (i) number of hedgerow patches within each buffer; (ii) hedgerow edge density within each buffer, calculated as (total edge length) / (buffer area); and (iii) the shape of hedgerows patches, as defined by (patch perimeter) / 4*√(patch area), calculated as the mean of patches within each buffer.

(c) Exclusion experiment: The cages (plastic net with a mesh size of 5 × 5 mm; diameter: 0.3 m; height: 1.20 m) were inserted in a plastic ring (diameter: 0.3 m; height: 0.25 m) dug 10 cm into the

soil. The cages were covered with sticky glue to prevent the access of flying natural enemies. In all cages, a visual inspection was performed to search for and remove by hand any natural enemies before placement of the cages. A pitfall trap filled with a water–detergent mix was added inside the cage to catch the natural enemies that were not detected. Aphids were provided by Katz Biotech AG®. The exclusion experiment started at the beginning of wheat fruit development (the main period of aphid reproduction in the fields). As suggested by Chaplin-Kramer & Kremen (2012), the aphid predation index could underestimate total mortality because it does not account for aphid colonization in the open cages. However, in our case the exclusion experiment started at the beginning of ripening stage, when alate individuals had already disappeared from the crop.

(d) Sampling of ground-dwelling predators: The pitfall traps were filled with 150 ml of 50% ethylene glycol and a plastic roof positioned 10 cm above each trap was used to prevent flooding by rain. The pitfall traps were left out for 10 days concurrently with the exclusion experiment. Invertebrates were preserved in 70% ethanol.

(e) Phytometer experiment: On 25th March 2014, ten seeds of radish were sown into each pot (5-L, 20 cm diameter) filled with clay soil of the Experimental farm of University of Padova. During the leaf development stage, all but two plants out of the ten were removed. Radish plants were cultivated in a greenhouse for 8 weeks (20 May), when they were moved to the field. Before the beginning of the flowering period three pots per field were bagged. Pots were placed into holes in the ground at the field edge, leaving the base of the plants at the level of the ground surface. Plants were periodically watered. Surveys of flower-visiting insects took place between 9:30 and 17:30 under sunny weather conditions with temperatures above 17°C. To avoid any systematic effect of time of the day the sequence of surveys was randomized in the three sampling rounds.

References

Chaplin-Kramer, R. & Kremen, C. (2012) Pest control experiments show benefits of complexity at landscape and local scales. Ecological Applications, 22, 1936–1948. Sitzia, T., Trentanovi, G., Marini, L., Cattaneo, D. & Semenzato, P. (2013) Assessment of hedge stand types as determinants of woody species richness in rural field margins. iForest, 6, 201– 208.

Appendix S2. – Supplemental Tables

Table S1. Mean values ± standard deviation and results of the analysis of variance (ANOVA) testing differences in land cover proportions between the three classes of field margins.

Hedgerow 0.5 km (%) Arable 0.5 km (%) Hedgerow 1 km (%) Arable 1 km (%)

Grass margin 3.0 ± 2.9

Simple hedgerow 3.6 ± 2.7

Complex hedgerow 2.6 ± 1.6

F

P

0.31

0.737

76.5 ± 20.7

70.3 ± 19.4

66.4 ± 18.8

0.60

0.557

2.6 ± 1.8

3.1 ± 2.1

2.6 ± 1.7

0.19

0.827

71.9 ± 18.2

66.6 ± 20.1

64.4 ± 18.8

0.38

0.691

Table S2. Pearson correlations between explanatory variables. Annual plants

Annual plants

Nectar plants 0.502**

Hedgerow (0.5 km)

0.390*

0.086ns

Arable (0.5 km)

0.073ns

0.324 ns

-0.319ns

Hedgerow (1 km)

0.355ns

0.023ns

0.918***

-0.288ns

Arable (1 km)

0.120ns

0.419*

-0.207ns

0.912***

ns

not significant, * P < 0.05, ** P < 0.01, *** P < 0.001

Hedgerow (0.5 km)

Arable (0.5 km)

Hedgerow (1 km)

-0.195 ns

Table S3. Statistical models used in the analyses. Model1

Distribution

Transformation

Fixed effects2

Random effect

Predation index

LMs

Gaussian

log(y+0.01)

FM × AR × H + NP



Parasitism rate

GLMMs

Binomial



FM × AR × H + AP + NP

Site

Vegetation-dwelling predators

LMMs

Gaussian

log(y+1)

FM × AR × H + AP + NP

Site

Ground-dwelling predators

LMMs

Gaussian

log(y+1)

FM × AR × H + AP + NP

Site

Species richness

GLMs

Poisson



FM × AR × H + AN



Cover

LMs

Gaussian

log(y+1)

FM × AR × H + AN



LMMs

Gaussian



FM × AR × H + NP

Site

Response variable Pest control

Weed control

Pollination Visitation rate

Δ Seed set LMMs Gaussian − FM × AR × H + VS + NP Site 1 Model abbreviations: GLMs, generalized linear model; GLMMs, generalized linear mixed models; LMs, linear models; LMMs, linear mixed models. 2 Fixed effect abbreviations: AN, number of annual plant species; AP, aphid abundance; AR, arable land cover; FM, field margin type; H, hedgerow cover; NP, number of nectar plant species; VS, visitation rate.

Table S4. Performance of (a) pest control, (b) weed control, and (c) potential pollination service models using arable land cover and hedgerow cover calculated at the two landscape scales (0.5 or 1 km). Table shows the Akaike Information Criterion (AIC). The most explanatory radius was selected based on minimized AIC values. Landscape scale 0.5 km

1 km

Predation index

-37.22

-36.55

Parasitism rate

270.41

267.97

Vegetation-dwelling

231.68

223.48

Ground-dwelling predators

217.31

218.06

Species richness

137.22

136.35

Cover

185.05

185.75

Visitation rate

374.14

383.09

Δ Seed set

60.86

60.69

(a) Pest control

predators (b) Weed control

(c) Pollination

Table S5. Estimates and model weights of the selected models with ΔAICc < 7.

Aphid abundance

Annual plants richness

Selected models Nectar Visitation plants rate richness

Arable land cover

ΔAICc

Model weight

0.001

0

0.329

0.13

0.308

1.28

0.174

0.001

2.26

0.106

0.002

4.46

0.035

4.94

0.028

-0.008

6.52

0.013

-2.139

0.105

0

0.271

-1.736

0.099

0.71

0.19

1.45

0.131

2.33

0.084

3.08

0.058

3.29

0.052

3.6

0.045

3.89

0.039

4.29

0.032

4.62

0.027

5.22

0.02

-0.007

5.74

0.015

-0.008

6.09

0.013

6.41

0.011

Intercept Predation index

Field margin type

Hedgerow cover

0.828 0.920

Parasitism rate

0.944

-0.008

0.856

-0.005

0.832

+

0.931

+

0.952

+

-1.863

-0.088

0.103

-1.495

-0.082

0.097

-0.006

-0.006

-1.842 -1.399

-0.007

-2.236

+

0.107

-1.779

+

0.101

-1.536

-0.100

-1.126

-0.096

-0.007

-0.006

-1.969

+

-0.084

0.105

-1.555

+

-0.076

0.099

-1.486

+

-1.967

+

Intercept Vegetation-dwelling predators

Ladybirds

Field margin type

Aphid abundance

2.263

0.378

2.403

0.376

2.266

+

0.385

2.397

+

0.382

2.497

0.384

2.322

0.334

2.520

0.332

2.514

0.382

2.283

+

0.371

2.480

+

0.391

Annual plants richness

Selected models Nectar Visitation plants rate richness

Hedgerow cover

Arable land cover

ΔAICc

Model weight

-0.022

0

0.659

-0.023

2.04

0.237

-0.022

4.69

0.063

-0.023

6.9

0.021

-0.025

0.00

0.357

-0.026

0.50

0.279

-0.047

-0.027

2.29

0.114

-0.005

-0.025

2.41

0.107

-0.027

4.23

0.043

-0.025

4.78

0.033

-0.030

6.00

0.018

-0.028

6.31

0.015

0.00

0.226

1.08

0.132

1.62

0.101

2.00

0.083

3.05

0.049

3.10

0.048

3.40

0.041

3.50

0.039

3.90

0.032

4.61

0.023

4.66

0.022

4.80

0.021

-0.033

-0.032 -0.044

-0.043

-0.040

3.304 2.449 Web spiders

+

0.366

0.196

0.198

0.070

0.197

0.451

0.186

0.131

0.188

0.279

0.189

0.239

+

-0.040

0.046 -0.003 0.009 0.041

0.168

0.057

0.195

0.003

0.403

0.173

0.012

0.128

+

0.998 0.647

-0.003

0.170

0.044 -0.004

0.040 -0.005

+

Intercept Web spiders

0.467

Field margin type +

Aphid abundance

Annual plants richness

Selected models Nectar Visitation plants rate richness

0.159

0.524

Arable land cover

ΔAICc

Model weight

-0.003

4.91

0.019

4.98

0.019

5.05

0.018

-0.003

5.36

0.015

-0.006

5.50

0.014

5.52

0.014

-0.004

6.09

0.011

-0.004

6.22

0.010

6.39

0.009

6.73

0.008

6.77

0.008

0.013

0

0.389

0.012

1.52

0.182

2.55

0.109

2.61

0.105

2.75

0.098

4.24

0.047

4.67

0.038

4.98

0.032

0.021

0.00

0.301

0.022

2.14

0.103

0.020

2.14

0.103

0.022

2.29

0.096

0.020

2.42

0.09

0.047

0.482

0.018

0.280

0.181

0.842

0.006

0.035

0.021

0.233

+

0.923

+

0.167

0.001

0.845

0.038

0.549

+

0.322

+

0.037 0.163

0.432 Ground-dwelling predators

Hedgerow cover

0.035 0.013

0.035

1.761 2.024

-0.003

-0.048

2.716 2.957

Carabid beetles

-0.082

1.817

+

0.012

2.589

+

2.013

+

-0.039

2.777

+

-0.069

0.778 0.874

-0.013

0.921

-0.026

0.752 0.902

0.010 +

0.010

Intercept Carabid beetles

0.707

Field margin type +

0.820

Aphid abundance

Annual plants richness

Selected models Nectar Visitation plants rate richness

0.949 0.019 +

0.944

+

0.021

4.15

0.038

0.022

4.40

0.033

-0.019

0.021

4.43

0.033

-0.028

0.021

4.47

0.032

0.019

4.64

0.03

0.020

4.84

0.027

5.84

0.016

0.020

6.60

0.011

0.020

6.61

0.011

6.65

0.011

0.021

6.77

0.01

-0.012

0.00

0.212

1.25

0.113

-0.012

1.90

0.082

-0.011

2.08

0.075

-0.012

2.23

0.07

2.71

0.055

2.81

0.052

3.15

0.044

3.24

0.042

-0.010

3.51

0.037

-0.011

3.99

0.029

4.27

0.025

4.41

0.023

-0.008

+

0.093

0.672

+

0.082

-0.015 0.008

2.555

Rove beetles

Model weight

0.016

0.777

0.896

ΔAICc

-0.018 -0.009

0.796

Arable land cover

0.089 0.036

0.885

Hedgerow cover

-0.084 0.037

-0.014

-0.019

1.867

1.990 1.747

-0.017 0.042

1.795 0.901

0.018 0.081

1.252

-0.024

0.921

0.042

1.189

0.136

-0.041

1.831

0.087

-0.030

1.875

-0.023

0.039

1.146

-0.033

0.069

1.704

0.039

0.013

-0.011

Intercept Rove beetles

1.872

Field margin type +

Aphid abundance

Annual plants richness

Selected models Nectar Visitation plants rate richness

Hedgerow cover

Arable land cover

ΔAICc

Model weight

-0.013

4.50

0.022

0.031

4.83

0.019

4.91

0.018

5.67

0.012

5.76

0.012

-0.012

6.45

0.008

-0.012

6.69

0.007

-0.012

6.83

0.007

0.00

0.219

1.35

0.112

1.81

0.089

1.89

0.085

-0.018

1.99

0.081

-0.034

2.90

0.051

-0.003

3.08

0.047

-0.004

3.56

0.037

3.60

0.036

3.76

0.034

-0.002

3.88

0.032

-0.005

3.91

0.031

4.41

0.024

5.17

0.017

-0.003

5.45

0.014

-0.003

5.51

0.014

0.832

0.073

1.098

0.128

-0.048

0.062

1.717

0.086

-0.035

0.039

1.059

+

1.701

+

1.972

+

1.787

+

0.068 -0.016 0.022

-0.009

Cursorial spiders 0.646

0.018

1.003

-0.003

0.748

0.035

0.861 0.693

0.024

0.858

0.019

1.162

-0.029

0.640

0.013

0.806

0.045

0.928

0.029

1.070 0.838

0.016 -0.025

0.029

-0.053

+

0.687

0.020

0.021

0.857

0.001

0.019

1.088

0.040

-0.036

-0.034

Intercept Cursorial spiders

0.649

Field margin type +

1.066

Weed species richness

Aphid abundance

Annual plants richness

0.003

1.004

+

0.895

+

0.780

+

Selected models Nectar Visitation plants rate richness 0.021 0.028

Hedgerow cover

-0.053

ΔAICc

Model weight

5.88

0.012

-0.005

6.35

0.009

-0.003

6.43

0.009

6.47

0.009

6.48

0.009

-0.010

0

0.382

-0.012

1.96

0.143

-0.010

2.2

0.127

2.56

0.106

3.89

0.055

-0.011

4.12

0.049

-0.011

4.56

0.039

4.91

0.033

6.45

0.015

6.73

0.013

6.79

0.013

6.86

0.012

0

0.377

1.94

0.143

2.32

0.118

2.52

0.107

3.53

0.065

0.091

4.07

0.049

0.082

4.48

0.04

-0.021 0.036

2.480 2.462

Arable land cover

0.024

2.369

0.029

1.812 1.680 2.467

Weed cover

0.046 +

2.372

0.022

1.833

-0.004

1.705

-0.005

2.345

+

1.792

+

2.464

+

0.023

0.046 0.035

0.020

-0.010

-0.012

8.564 3.815

0.066

7.490

0.342

9.290 6.263

-0.146 +

0.227 4.278

0.584 -0.318

Intercept Weed cover

Field margin type

8.279 2.158

+

7.275

+

5.835

+

0.180

Visitation rate

2.356

Aphid abundance

Annual plants richness -0.169

Selected models Nectar Visitation plants rate richness

ΔAICc

Model weight

5.08

0.03

6.1

0.018

6.45

0.015

6.62

0.014

6.63

0.014

0.935

0

0.293

0.891

0.06

0.284

-0.057

0.967

2.19

0.098

0.028

0.878

2.31

0.092

0.062 -0.261 0.162 -0.436

0.695

+

+

2.636 2.730 2.037

+

2.247

+

2.621 Δ Seed set

0.002

2.38

0.089

0.948

0.004

2.44

0.086

-0.070

1.000

0.009

4.6

0.029

0.028

0.879

0.000

4.71

0.028

0.115

0

0.245

0.137

0.76

0.168

0.102

1.99

0.09

2.2

0.082

2.82

0.06

2.99

0.055

3.34

0.046

3.46

0.043

4.02

0.033

4.67

0.024

0.846

-0.033 0.024

0.347

0.128

0.643

0.117

0.895

0.707

0.518

Arable land cover

0.358

2.850 2.795

Hedgerow cover

0.027

-0.033

0.004

0.123

1.044 0.539

-0.031

0.640 0.910 0.285

0.147

0.004

0.043 +

0.125 0.020

0.114

0.003

Intercept Δ Seed set

Field margin type

1.164 1.032

Aphid abundance

Annual plants richness

Selected models Nectar Visitation plants rate richness -0.020

+

0.741

-0.031 0.047

Hedgerow cover

ΔAICc

Model weight

4.96

0.021

5.36

0.017

5.4

0.016

-0.001

5.53

0.015

0.149

0.008

5.56

0.015

0.131

0.002

5.87

0.013

-0.002

6.08

0.012

0.111

6.61

0.009

0.068

0

0.376

2.14

0.129

2.27

0.121

2.28

0.12

3.7

0.059

4.32

0.043

4.61

0.038

-0.001

4.64

0.037

-0.003

5.87

0.02

6.37

0.016

0

0.379

2.06

0.135

2.24

0.124

2.32

0.119

4.39

0.042

0.146

-0.022

1.130 0.351

0.023

0.798

0.045

0.723 Hoverflies

+

0.471

+

0.023

0.801

Arable land cover

-0.032

0.992 0.871

0.065

0.827

-0.003

0.069

1.214

-0.003

0.948 0.801

Wild bees

-0.001

0.005 +

0.066

0.882

-0.003

1.167

0.007

0.976

+

0.078

+

0.306

+

-0.092

+

0.148

+

-0.009

0.248

+

0.006

0.067

0.086

0.093 0.091

0.002

0.386

Field margin type +

-0.050

+

Intercept Wild bees

Aphid abundance

Annual plants richness

Selected models Nectar Visitation plants rate richness -0.014

0.306

Hedgerow cover

Arable land cover

ΔAICc

Model weight

-0.001

4.4

0.042

0.003

4.46

0.041

5.21

0.028

5.25

0.027

6.7

0.013

6.78

0.013

0.085

0

0.268

0.081

1.17

0.15

2.27

0.086

2.36

0.082

2.76

0.067

2.85

0.065

3.06

0.058

3.37

0.05

4.24

0.032

4.46

0.029

-0.003

4.71

0.025

-0.001

4.78

0.024

5.16

0.02

-0.003

5.2

0.02

0.103 0.074

0.515 0.311

Butterflies

0.023

0.334

+

0.321

+

0.008

0.163 0.423

+

0.361

+

-0.001

0.082 -0.005

-0.001

0.088

0.376 0.543

+

0.336

0.077

0.121

0.006

-0.002

0.078

0.608

-0.003

0.263

0.013

0.713

+

0.436

+

-0.004

0.499

+

0.005

0.085

0.303

0.008

0.511

0.016

-0.004

5.7

0.016

0.008

-0.003

6.98

0.008

0.665

+

0.072

Intercept Other groups

Field margin type

Aphid abundance

Annual plants richness

Selected models Nectar Visitation plants rate richness

Hedgerow cover

Arable land cover

-0.212 -0.471

0.092

-0.034

-0.020

-0.395

0.003

-0.213

-0.036

-0.978 -0.809 -0.231

-0.043

0.110

+

-0.401

+

-0.146

+

-0.919

+

-0.217

+

0.267

0.72

0.186

1.95

0.1

2.1

0.093

2.28

0.085

2.45

0.078

0.135

0.008

3.75

0.041

3.76

0.041

4.09

0.035

4.94

0.023

6

0.013

6.04

0.013

6.84

0.009

6.92

0.008

0.003 0.082 0.003

-0.009 0.101 -0.031

0

0.007

-0.022

-0.441

Model weight

0.109

+

-0.241

ΔAICc

0.103

0.007

Table S6. Sum of model weights (Σwi) for each variable estimated by the multi-model inference procedure for vegetation-dwelling and ground-dwelling predators. In bold are reported the Akaike weights of the most important explanatory variables (sum of model weights > 0.6 or unconditional CIs that did not include 0). The direction of the relationship is indicated by (+) or (-) for the most important continuous variables. Field margin

Aphid abundance

Ladybirds

0.26

0.96 (+)

0.51

1.00 (−)

0.26

Web spiders

0.33

0.80 (+)

0.27

0.31

0.34

Carabid beetles

0.24

0.25

0.25

0.93 (+)

0.26

Rove beetles

0.09

0.31

0.32

0.59

0.26

Cursorial spiders

0.09

0.26

0.35

0.30

0.30

Nectar plant Arable land richness cover

Hedgerow cover

Vegetation-dwelling predators

Ground-dwelling predators

Table S7. Sum of model weights (Σwi) for each variable estimated by the multi-model inference procedure for pollinator groups (abundance of flower-visiting insects). In bold are reported the Akaike weights of the most important explanatory variables (sum of model weights > 0.6 or unconditional CIs that did not include 0). The direction of the relationship is indicated by (+) or (-) for the most important continuous variables. Field margin

Nectar plant richness

Arable land cover

Hedgerow cover

Hoverflies

0.09

0.24

0.26

0.72 (+)

Wild bees

0.90

0.25

0.25

0.71 (+)

Butterflies

0.58

0.25

0.27

0.74 (+)

0.28

0.43

Pollinator groups

Other groups1 0.11 0.29 1 Including other Diptera and other species (mainly coleopterans).

Appendix S3. – Supplemental Figures

Figure S1. Scatterplot showing the distribution of the three field margin types along the two landscape gradients: (i) proportion of arable land and (ii) proportion of hedgerows in a 1 km buffer.

Figure S2. Mean (± SE) number of aphids, Sitobion avenae, per pot in the cage and the open treatments at the beginning (day 0) and the end (day 5) of the experiment. No significant differences were found between the two treatments at day 0 (Paired t-test: t = 1.66, P = 0.108), while significant differences were found between the cage and the open treatment at day 5 (Paired t-test: t = 11.93, P < 0.001).

Figure S3. Total abundance (number of individuals) of flower-visiting insects surveyed during the three visits.

Figure S4. Model-averaged effect sizes and 95% confidence intervals for the landscape parameters included in strongly supported models (ΔAICc ≤ 7) explaining the abundance of flower-visiting insects for (a) hoverflies, (b) wild bees, (c) butterflies, and (d) other groups (other Diptera and other species - mainly coleopterans). Open and closed symbols reflect model estimates ± averaged confidence intervals.

Figure S5. Mean ± SE of (a) wild bee and (b) butterfly abundance derived from visitation rate in relation to margin type (grass margin, simple hedgerow, and complex hedgerow).