Ecological Archives E088-147-A4

David Balata, Luigi Piazzi, and Lisandro Benedetti-Cecchi. 2007. Sediment disturbance and loss of beta diversity on subtidal rocky reefs. Ecology 88:2455–2461.

Appendix D. Analyses based on Gower and Jaccard dissimilarity measures.

To assess the relative importance of compositional changes vs. differences in relative abundance of taxa in driving the response of assemblages to the addition of sediment, data were reanalyzed on the basis of a modified version of the Gower’s dissimilarity measure, as described in Anderson et al. (2006). The Gower measure of dissimilarity was obtained after transforming the data to x' = log2(x) + 1 for x > 0 and x' = 0 for x = 0, and excluding double zeros. This index weights a compositional change equal to a doubling in abundance of species. Analyses were also done using the Jaccard index (Jaccard 1900), which emphasizes compositional change (Anderson et al. 2006).

TABLE D1. Permutational multivariate analysis of variance (PERMANOVA) based on Gower and Jaccard measures of dissimilarity examining effects of sediment on mature assemblages.


     

Gower

Jaccard

   

Source

 

df

MS

Pseudo F

P

MS

Pseudo F

P

Denominator
for F

No. permutable
units


Habitat = Ha

 

1

 

4469.70

4.02

0.004

4639.70

2.84

 0.062

Ha × Si(Co)

12

Condition = Co

 

2

 

6792.00

8.96

0.000

6031.70

  7.86

 0.001

Si(Co)

6

 

C vs. T

 

1

8471.00

9.63

0.001

4362.32

  5.05

 0.031

Si(Co)

6

 

T vs. R

 

1

1530.60

2.79

0.052

3872.81

  7.60

 0.008

Si(Co)

6

Site(Co) = Si(Co)

 

3

 

758.14

1.56

0.063

767.11

 0.96

 0.498

Residual

36

Ha × Co

 

2

 

2091.50

1.88

0.077

  2097.01

  1.28

 0.324

Ha × Si(Co)

12

 

Ha × C vs. T

 

1

2448.00

2.45

0.079

  3096.12

  1.87

 0.217

Ha × Si(Co)

12

 

Ha × T vs. R

 

1

1099.40

0.76

0.622

 724.10

 0.35

 0.839

Ha × Si(Co)

12

Ha × Si(Co)

 

3

 

1111.00

2.29

0.002

1631.70

  2.04

 0.029

Residual

36

Residual

 

24

 

485.36

   

797.44

       

Total

 

35

                 

 

 

TABLE D2. Permutational multivariate analysis of variance (PERMANOVA) based on Gower and Jaccard measures of dissimilarity examining effects of sediment on recovering assemblages.


 
     

Gower

Jaccard

     

 Source

 

df

MS

Pseudo F

P

MS

Pseudo F

P

Denominator
for F

No. permutable
units

 

 

Habitat = Ha

 

1

 

3870.50

6.19

0.004

9422.60

7.71

0.007

Ha x Si(Co)

12

 

Condition = Co

 

2

 

5927.80

5.25

0.003

4771.80

5.88

0.010

Si(Co)

6

 
 

C vs. T

 

1

6385.90

6.15

0.008

3148.70

4.42

0.048

Si(Co)

6

 
 

T vs. R

 

1

1084.40

1.21

0.359

2117.00

2.42

0.164

Si(Co)

6

 

Site(Co) = Si(Co)

 

3

 

1129.20

2.84

0.001

811.08

1.26

0.274

Residual

36

 

Ha × Co

 

2

 

1191.00

1.90

0.115

1342.70

1.10

0.440

Ha x Si(Co)

12

 
 

Ha × C vs. T

 

1

1217.00

1.62

0.240

1575.50

0.99

0.454

Ha × Si(Co)

12

 

Ha × T vs. R

 

1

422.27

0.99

0.479

374.42

0.28

0.869

Ha × Si(Co)

12

Ha × Si(Co)

 

3

 

625.50

1.57

0.095

1221.40

1.90

0.061

Residual

36

Residual

 

24

 

398.20

   

642.47

       

Total

 

35

                 

 

 
   FIG. D1. Two-factor nonmetric MDS plots of centroids obtained from Gower (A) and Jaccard (B) dissimilarities showing differences in mature assemblages on vertical (triangles) and horizontal (squares) habitats among control (hollow symbols), treated (gray symbols), and reference (black symbols) conditions.

 

 
   FIG. D2. Two-factor nonmetric MDS plots of centroids obtained from Gower (A) and Jaccard (B) dissimilarities showing differences in recovering assemblages on vertical (triangles) and horizontal (squares) habitats among control (hollow symbols), treated (gray symbols), and reference (black symbols) conditions.

 

LITERATURE CITED

Anderson, M. J., K. E. Ellingsen, and B. H. McArdle. 2006. Multivariate dispersion as a measure of beta diversity. Ecology Letters 9:683–693.

Jaccard, P. 1900. Contribution au problème de l’immigration post-glaciare de la flore alpine. Bulletin de la Société Vaudoise des Sciences Naturelles 36: 87–130.



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