Ecological Archives E087-167-A5

Selene Báez, Scott L. Collins, David Lightfoot, and Terri L. Koontz. 2006. Bottom-up regulation of plant community structure in an aridland ecosystem. Ecology 87:2746–2754.

Appendix E. Analysis of covariance (ANCOVA) of cover and species richness of grass- and shrub-dominated vegetation in control and treatment plots in response to seasonal rainfall. Tr = treatment, Ps = summer precipitation, Pw = winter precipitation. In statistically significant models, significant P values for precipitation and treatment effects are presented in bold.

Shrub vegetation: cover vs. summer precipitation

 

ANOVA

Parameter estimates

 

Source

df

SS

MS

F

P

Term

Estimate

Std. Error

P

Summer annuals

R2 = 0.053

         

Intercept

0.175

0.080

0.031

 

Model

3

0.334

0.111

1.429

0.241

Tr

-0.024

0.031

0.447

 

Error

76

5.917

0.078

   

Ps

0.001

0.001

0.076

 

C. Total

79

6.251

     

Tr × Ps

0.000

0.001

0.495

Forbs

R2 = 0.03

         

Intercept

0.046

0.137

0.738

 

Model

3

0.581

0.194

0.861

0.465

Tr

-0.019

0.053

0.724

 

Error

75

16.865

0.225

   

Ps

0.001

0.001

0.248

 

C. Total

78

17.446

     

Tr × Ps

0.001

0.001

0.290

Grasses

R2 = 0.09

         

Intercept

0.635

0.079

<0.001

 

Model

3

0.593

0.198

2.573

0.060

Tr

-0.074

0.031

0.019

 

Error

76

5.836

0.077

   

Ps

0.001

0.001

0.160

 

C. Total

79

6.429

     

Tr × Ps

0.000

0.001

0.977

Shrubs

R2 = 0.07

         

Intercept

1.463

0.036

<0.001

 

Model

3

0.084

0.028

1.834

0.148

Tr

0.032

0.014

0.025

 

Error

75

1.149

0.015

   

Ps

0.000

0.000

0.629

 

C. Total

78

1.234

     

Tr × Ps

0.000

0.000

0.934

Total

R2 = 0.04

         

Intercept

1.406

0.038

<0.001

 

Model

3

0.057

0.019

1.078

0.364

Tr

0.017

0.015

0.268

 

Error

75

1.316

0.018

   

Ps

0.000

0.000

0.170

 

C. Total

78

1.372

     

Tr × Ps

0.000

0.000

0.844

Heterogeneity

R2 = 0.11

         

Intercept

3.699

0.066

<0.001

 

Model

3

0.484

0.161

3.014

0.035

Tr

0.076

0.026

0.004

 

Error

76

4.072

0.054

   

Ps

0.000

0.000

0.589

 

C. Total

79

4.556

     

Tr × Ps

0.000

0.000

0.842

Shrub vegetation: cover vs. winter precipitation

Winter annuals

R2 = 0.43

         

Intercept

-0.060

0.048

0.213

 

Model

3

2.039

0.680

19.234

<0.001

Tr

0.028

0.021

0.180

 

Error

76

2.686

0.035

   

Pw

0.003

0.000

<0.001

 

C. Total

79

4.725

     

Tr × Pw

0.001

0.000

0.086

Forbs

R2 = 0.045

         

Intercept

0.045

0.120

0.709

 

Model

3

0.692

0.231

1.032

0.383

Tr

-0.019

0.053

0.728

 

Error

75

16.755

0.223

   

Pw

0.001

0.001

0.174

 

C. Total

78

17.446

     

Tr × Pw

0.001

0.001

0.297

Grasses

R2 = 0.11

         

Intercept

0.628

0.070

<0.001

 

Model

3

0.686

0.229

3.024

0.035

Tr

-0.074

0.031

0.019

 

Error

76

5.743

0.076

   

Pw

0.001

0.001

0.082

 

C. Total

79

6.429

     

Tr × Pw

0.000

0.001

0.686

Shrubs

R2 = 0.07

         

Intercept

1.492

0.032

<0.001

 

Model

3

0.085

0.028

1.844

0.146

Tr

0.032

0.014

0.025

 

Error

75

1.149

0.015

   

Pw

0.000

0.000

0.643

 

C. Total

78

1.234

     

Tr × Pw

0.000

0.000

0.823

Total

R2 = 0.03

         

Intercept

1.453

0.034

<0.001

 

Model

3

0.036

0.012

0.683

0.566

Tr

0.017

0.015

0.267

 

Error

75

1.336

0.018

   

Pw

0.000

0.000

0.959

 

C. Total

78

1.372

     

Tr × Pw

0.000

0.000

0.375

Heterogeneity

R2 = 0.21

         

Intercept

3.889

0.055

<0.001

 

Model

3

0.941

0.314

6.592

0.001

Tr

0.076

0.024

0.003

 

Error

76

3.615

0.048

   

Pw

-0.002

0.000

0.002

 

C. Total

79

4.556

     

Tr × Pw

0.000

0.000

0.814

Shrub vegetation: species richness vs. summer precipitation

Summer annuals

R2 = 0.025

         

Intercept

0.149

0.029

<0.001

 

Model

3

0.020

0.007

0.648

0.587

Tr

0.007

0.011

0.546

 

Error

76

0.797

0.010

   

Ps

0.000

0.000

0.216

 

C. Total

79

0.817

     

Tr × Ps

0.000

0.000

0.883

Forbs

R2 < 0.01

         

Intercept

1.348

0.247

<0.001

 

Model

3

0.117

0.039

0.052

0.984

Tr

0.030

0.097

0.754

 

Error

76

56.692

0.746

   

Ps

0.000

0.002

0.855

 

C. Total

79

56.808

     

Tr × Ps

0.000

0.002

0.877

Grasses

R2 = 0.03

         

Intercept

0.844

0.097

<0.001

 

Model

3

0.268

0.089

0.774

0.512

Tr

-0.044

0.038

0.249

 

Error

76

8.754

0.115

   

Ps

0.001

0.001

0.354

 

C. Total

79

9.021

     

Tr × Ps

0.000

0.001

0.752

Shrubs

R2 = <0.01

         

Intercept

0.889

0.065

<0.001

 

Model

3

0.031

0.010

0.200

0.896

Tr

-0.014

0.025

0.577

 

Error

76

3.880

0.051

   

Ps

0.000

0.000

0.664

 

C. Total

79

3.911

     

Tr × Ps

0.000

0.000

0.757

Total

R2 < 0.01

         

Intercept

3.081

0.281

<0.001

 

Model

3

0.138

0.046

0.047

0.986

Tr

-0.028

0.110

0.800

 

Error

76

73.499

0.967

   

Ps

0.001

0.002

0.795

 

C. Total

79

73.637

     

Tr × Ps

0.000

0.002

0.922

Shrub vegetation: species richness vs. winter rainfall

Winter annuals

R2 = 0.43

         

Intercept

-0.060

0.048

0.213

 

Model

3

2.039

0.680

19.234

<0.001

Tr

0.028

0.021

0.180

 

Error

76

2.686

0.035

   

Pw

0.003

0.000

<0.001

 

C. Total

79

4.725

     

Tr × Pw

0.001

0.000

0.086

Forbs

R2 = 0.21

         

Intercept

0.528

0.195

0.009

 

Model

3

11.835

3.945

6.666

0.001

Tr

0.030

0.086

0.725

 

Error

76

44.974

0.592

   

Pw

0.008

0.002

<0.001

 

C. Total

79

56.808

     

Tr × Pw

0.001

0.002

0.739

Grasses

R2 = 0.02

         

Intercept

0.935

0.087

<0.001

 

Model

3

0.173

0.058

0.495

0.687

Tr

-0.044

0.038

0.251

 

Error

76

8.849

0.116

   

Pw

0.000

0.001

0.918

 

C. Total

79

9.021

     

Tr × Pw

0.000

0.001

0.713

Shrubs

R2 = 0.04

         

Intercept

0.826

0.056

<0.001

 

Model

3

0.173

0.058

1.173

0.326

Tr

-0.014

0.025

0.570

 

Error

76

3.738

0.049

   

Pw

0.001

0.001

0.080

 

C. Total

79

3.911

     

Tr × Pw

0.000

0.001

0.827

Total

R2 = 0.19

0.19

       

Intercept

2.289

0.224

<0.001

 

Model

3

14.342

4.781

6.127

0.001

Tr

-0.028

0.099

0.778

 

Error

76

59.295

0.780

   

Pw

0.009

0.002

<0.001

 

C. Total

79

73.637

     

Tr × Pw

0.000

0.002

0.926

Grass vegetation: cover vs. summer precipitation

Summer annuals

R2 = 0.27

         

Intercept

-0.029

0.111

0.796

 

Model

3

4.478

1.493

9.259

<0.001

Tr

0.035

0.045

0.433

 

Error

76

12.253

0.161

   

Ps

0.003

0.001

<0.001

 

C. Total

79

16.731

     

Tr × Ps

0.000

0.001

0.589

Forbs

R2 = 0.18

         

Intercept

-0.143

0.151

0.349

 

Model

3

5.062

1.687

5.611

0.002

Tr

-0.002

0.061

0.969

 

Error

76

22.855

0.301

   

Ps

0.004

0.001

0.000

 

C. Total

79

27.917

     

Tr × Ps

0.000

0.001

0.935

Grasses

R2 = 0.19

         

Intercept

1.420

0.030

<0.001

 

Model

3

0.210

0.070

5.941

0.001

Tr

0.007

0.012

0.549

 

Error

76

0.897

0.012

   

Ps

0.001

0.000

<0.001

 

C. Total

79

1.107

     

Tr × Ps

0.000

0.000

0.887

Shrubs

R2 = 0.07

         

Intercept

0.410

0.094

<0.001

 

Model

3

0.623

0.208

1.806

0.153

Tr

-0.086

0.038

0.027

 

Error

76

8.745

0.115

   

Ps

0.000

0.001

0.819

 

C. Total

79

9.369

     

Tr × Ps

0.000

0.001

0.617

Total

R2 = 0.28

         

Intercept

1.447

0.034