Ecological Archives E090-234-A4

Elisabeth Marquard, Alexandra Weigelt, Vicky M. Temperton, Christiane Roscher, Jens Schumacher, Nina Buchmann, Markus Fischer, Wolfgang W. Weisser, and Bernhard Schmid. 2009. Plant species richness and functional composition drive overyielding in a six-year grassland experiment. Ecology 90:3290–3302.

Appendix D. Three tables summarizing the ANOVAs for the net effect from 2003–2007, and for the complementarity effect and selection effect in 2003, 2005–2007, using a statistical model in which species richness was fitted prior to functional group composition (described as model 1 in the Methods section).

Tables D1–D3: Summary of the ANOVA for NE (D1) from 2003–2007, and CE (D2) and SE (D3) in 2003, 2005–2007 (model 1 in "Methods"), using type-I sums of squares. Indented terms show the linear contrast for FG richness and its deviation from linearity (FG composition residuals). The sum of these two terms corresponds to FG composition. Year was fitted as a 5-level factor for NE and as a 4-level factor for CE and SE. The column % contains the proportions of explained between-plot-variation.

Table D1:

Source

df

SS

MS

%

F

P

Overall mean

1

58552

58552

100

1103.07

<0.001

Between plots

 

 

 

 

 

 

Block

3

1171

390

6

2.82

0.054

Log (species richness (SR))

1

4617

4617

23

33.34

<0.001

Functional group (FG) composition

12

8846

737

44

5.32

<0.001

FG richness

1

1744

1744

9

12.59

0.001

FG composition residuals

11

7102

646

35

4.66

<0.001

Log (SR) × FG composition

12

1099

92

5

0.66

0.774

Plot residuals

33

4571

139

23

 

 

 

 

 

 

 

 

 

Within plots

 

 

 

 

 

 

Year

4

1633

408

 

7.69

<0.001

Log (SR) × Year

4

106

27

 

0.50

0.736

FG composition × Year

48

2278

48

 

0.89

0.665

FG richness × Year

4

4

1

 

0.02

0.999

FG composition residuals × Year

44

2275

52

 

0.97

0.526

Log (SR) × FG composition × Year

48

2224

46

 

0.87

0.703

 

 

 

 

 

 

 

Residuals

139

7378

53

 

 

 

 

 

Table D2:

Source

df

SS

MS

%

F

P

Overall mean

1

32696

32696

100

408.20

<0.001

Between plots

 

 

 

 

 

 

Block

3

456

152

3

1.28

0.298

Log (species richness (SR))

1

3061

3061

21

25.77

<0.001

Functional group (FG) composition

12

5799

483

39

4.07

0.001

FG richness

1

2111

2111

14

17.77

<0.001

FG composition residuals

11

3688

335

25

2.82

0.010

Log (SR) × FG composition

12

1534

128

10

1.08

0.410

Plot residuals

33

3921

119

27

 

 

 

 

 

 

 

 

 

Within plots

 

 

 

 

 

 

Year

3

3954

1318

 

16.46

<0.001

Log (SR) × Year

3

109

36

 

0.45

0.716

FG composition × Year

36

2904

81

 

1.01

0.472

FG richness × Year

3

138

46

 

0.57

0.633

FG composition residuals × Year

33

2766

84

 

1.05

0.418

Log (SR) × FG composition × Year

36

2043

57

 

0.71

0.880

 

 

 

 

 

 

 

Residuals

103

8250

80

 

 

 

 

 

Table D3:

Source

df

SS

MS

%

F

P

Overall mean

1

4335

4335

100

35.49

<0.001

Between plots

 

 

 

 

 

 

Block

3

187

62

2

0.27

0.849

Log (species richness (SR))

1

213

213

2

0.91

0.347

Functional group (FG) composition

12

2995

250

25

1.06

0.419

FG richness

1

0

0

0

0.00

0.977

FG composition residuals

11

2995

272

25

1.16

0.350

Log (SR) × FG composition

12

944

79

8

0.34

0.976

Plot residuals

33

7737

235

64

 

 

 

 

 

 

 

 

 

Within plots

 

 

 

 

 

 

Year

3

2868

956

 

7.82

<0.001

Log (SR) × Year

3

368

123

 

1.00

0.394

FG composition × Year

36

6503

181

 

1.48

0.066

FG richness × Year

3

227

76

 

0.62

0.603

FG composition residuals × Year

33

6276

190

 

1.56

0.048

Log (SR) × FG composition × Year

36

6112

170

 

1.39

0.102

 

 

 

 

 

 

 

Residuals

103

12582

122

 

 

 


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