Ecological Archives E090-081-A1

Jeffrey S. Shima and Stephen E. Swearer. 2009. Larval quality is shaped by matrix effects: implications for connectivity in a marine metapopulation. Ecology 90:1255–1267.

Appendix A. Variation in 13 extracted features of time series for each of 11 trace elemental ratios recorded in the otoliths of Forsterygion lapillum.

TABLE A1. Variation in 13 extracted features of time series for each of 11 trace elemental ratios recorded in the otoliths of Forsterygion lapillum. Left columns give results of univariate t tests of differences between two putative “source populations”. Right columns give same results that describe differences between two putative “larval dispersal histories”. Pattern of variation is given for each contrast, with “1 > 2” indicating mean value for cluster 1 was greater than for cluster 2, and vice versa. Canonical loadings of each extracted feature are also given, as a measure of the relative importance of each variable in discriminating between clusters. Statistics associated with significant (P < 0.05) differences are highlighted in bold.


     
Source populations
 
Larval histories
     
 
  Extracted feature  
R2
F1,280
P
Pattern
Canonical
loadings
 
R2
F1,280
P
Pattern
Canonical
loadings

Li

Serial correlation

 

0.00

0.26

0.6090

1 > 2

-0.03

 

0.04

11.34

0.0009

2 > 1

0.21

 

Nonlinear

 

0.00

0.16

0.6922

2 > 1

0.03

 

0.00

1.15

0.2849

2 > 1

0.07

 

Skewness

 

0.00

0.18

0.6701

1 > 2

-0.03

 

0.00

0.57

0.4525

2 > 1

0.05

 

Kurtosis

 

0.01

1.50

0.2220

2 > 1

0.08

 

0.00

0.34

0.5582

2 > 1

0.04

 

Hurst

 

0.08

23.34

<.0001

2 > 1

0.30

 

0.06

16.84

<.0001

2 > 1

0.26

 

Lyapunov

 

0.00

0.01

0.9360

1 > 2

-0.01

 

0.00

0.54

0.4650

2 > 1

0.05

 

Frequency

 

0.01

1.96

0.1631

2 > 1

0.09

 

0.00

0.22

0.6425

1 > 2

-0.03

 

Trend

 

0.04

11.06

0.0010

1 > 2

-0.21

 

0.02

4.96

0.0267

2 > 1

0.14

 

Seasonal

 

0.01

3.63

0.0577

1 > 2

-0.12

 

0.02

4.47

0.0353

1 > 2

-0.13

 

TSA serial correlation

 

0.00

0.04

0.8402

2 > 1

0.01

 

0.00

1.35

0.2467

1 > 2

-0.07

 

TSA nonlinear

 

0.00

0.52

0.4715

2 > 1

0.05

 

0.00

0.39

0.5333

2 > 1

0.04

 

TSA skewness

 

0.01

2.02

0.1562

1 > 2

-0.09

 

0.01

2.45

0.1185

2 > 1

0.10

 

TSA kurtosis

 

0.01

2.75

0.0983

2 > 1

0.11

 

0.00

0.45

0.5009

2 > 1

0.04

                           

B

Serial correlation

 

0.00

0.91

0.3400

2 > 1

0.06

 

0.11

34.18

<.0001

2 > 1

0.35

 

Nonlinear

 

0.00

0.63

0.4267

2 > 1

0.05

 

0.03

8.49

0.0039

2 > 1

0.18

 

Skewness

 

0.00

1.00

0.3173

2 > 1

0.07

 

0.01

4.04

0.0454

2 > 1

0.13

 

Kurtosis

 

0.02

4.28

0.0395

2 > 1

0.13

 

0.01

2.33

0.1281

2 > 1

0.10

 

Hurst

 

0.13

42.83

<.0001

2 > 1

0.40

 

0.14

45.65

<.0001

2 > 1

0.40

 

Lyapunov

 

0.01

1.70

0.1937

2 > 1

0.08

 

0.04

11.03

0.0010

2 > 1

0.21

 

Frequency

 

0.00

0.09

0.7689

2 > 1

0.02

 

0.04

11.61

0.0008

1 > 2

-0.21

 

Trend

 

0.04

10.73

0.0012

1 > 2

-0.21

 

0.08

25.20

<.0001

2 > 1

0.31

 

Seasonal

 

0.02

4.63

0.0323

1 > 2

-0.14

 

0.06

18.96

<.0001

1 > 2

-0.27

 

TSA serial correlation

 

0.00

0.85

0.3578

1 > 2

-0.06

 

0.01

3.49

0.0628

1 > 2

-0.12

 

TSA nonlinear

 

0.00

0.45

0.5041

2 > 1

0.04

 

0.00

0.05

0.8298

1 > 2

-0.01

 

TSA skewness

 

0.04

12.54

0.0005

2 > 1

0.23

 

0.01

1.49

0.2225

2 > 1

0.08

 

TSA kurtosis

 

0.05

14.87

0.0001

2 > 1

0.24

 

0.01

2.81

0.0947

2 > 1

0.11

                           

Mg

Serial correlation

 

0.20

70.56

<.0001

2 > 1

0.49

 

0.15

47.80

<.0001

2 > 1

0.41

 

Nonlinear

 

0.04

10.62

0.0013

2 > 1

0.21

 

0.01

2.56

0.1109

2 > 1

0.10

 

Skewness

 

0.01

1.58

0.2094

2 > 1

0.08

 

0.01

3.48

0.0631

2 > 1

0.12

 

Kurtosis

 

0.01

3.67

0.0564

2 > 1

0.12

 

0.00

0.00

0.9813

1 > 2

0.00

 

Hurst

 

0.24

87.69

<.0001

2 > 1

0.53

 

0.13

41.44

<.0001

2 > 1

0.38

 

Lyapunov

 

0.01

2.30

0.1303

2 > 1

0.10

 

0.08

23.73

<.0001

2 > 1

0.30

 

Frequency

 

0.00

0.02

0.8859

2 > 1

0.01

 

0.06

16.55

<.0001

1 > 2

-0.25

 

Trend

 

0.05

14.13

0.0002

2 > 1

0.24

 

0.13

40.28

<.0001

2 > 1

0.38

 

Seasonal

 

0.05

15.86

<.0001

1 > 2

-0.25

 

0.08

24.68

<.0001

1 > 2

-0.31

 

TSA serial correlation

 

0.01

3.80

0.0522

1 > 2

-0.13

 

0.00

0.54

0.4617

1 > 2

-0.05

 

TSA nonlinear

 

0.00

0.14

0.7068

1 > 2

-0.02

 

0.04

12.47

0.0005

1 > 2

-0.22

 

TSA skewness

 

0.05

16.16

<.0001

2 > 1

0.25

 

0.01

2.51

0.1139

2 > 1

0.10

 

TSA kurtosis

 

0.07

21.22

<.0001

2 > 1

0.29

 

0.01

2.06

0.1526

2 > 1

0.09

                           

P

Serial correlation

 

0.23

85.27

<.0001

2 > 1

0.53

 

0.11

35.80

<.0001

2 > 1

0.36

 

Nonlinear

 

0.07

19.75

<.0001

2 > 1

0.28

 

0.03

7.90

0.0053

2 > 1

0.18

 

Skewness

 

0.02

5.05

0.0254

2 > 1

0.14

 

0.04

11.08

0.0010

2 > 1

0.21

 

Kurtosis

 

0.02

5.03

0.0258

2 > 1

0.14

 

0.02

4.26

0.0400

2 > 1

0.13

 

Hurst

 

0.26

100.82

<.0001

2 > 1

0.56

 

0.09

28.02

<.0001

2 > 1

0.32

 

Lyapunov

 

0.05

13.45

0.0003

2 > 1

0.23

 

0.05

15.90

<.0001

2 > 1

0.25

 

Frequency

 

0.00

1.32

0.2519

1 > 2

-0.07

 

0.06

17.48

<.0001

1 > 2

-0.26

 

Trend

 

0.13

40.16

<.0001

2 > 1

0.39

 

0.10

32.66

<.0001

2 > 1

0.35

 

Seasonal

 

0.06

17.22

<.0001

1 > 2

-0.26

 

0.04

11.18

0.0009

1 > 2

-0.21

 

TSA serial correlation

 

0.01

2.13

0.1453

1 > 2

-0.09

 

0.00

0.40

0.5272

2 > 1

0.04

 

TSA nonlinear

 

0.01

1.46

0.2280

2 > 1

0.08

 

0.00

0.02

0.8993

1 > 2

-0.01

 

TSA skewness

 

0.02

6.59

0.0108

2 > 1

0.17

 

0.00

1.34

0.2475

1 > 2

-0.07

 

TSA kurtosis

 

0.02

7.15

0.0079

2 > 1

0.17

 

0.00

0.11

0.7419

2 > 1

0.02

                           

S

Serial correlation

 

0.01

2.27

0.1332

2 > 1

0.10

 

0.04

11.15

0.0010

2 > 1

0.21

 

Nonlinear

 

0.00

0.88

0.3499

2 > 1

0.06

 

0.00

0.05

0.8316

1 > 2

-0.01

 

Skewness

 

0.00

0.00

0.9608

2 > 1

0.00

 

0.01

4.07

0.0447

1 > 2

-0.13

 

Kurtosis

 

0.00

1.13

0.2878

2 > 1

0.07

 

0.02

4.79

0.0294

1 > 2

-0.14

 

Hurst

 

0.00

0.09

0.7608

2 > 1

0.02

 

0.03

7.57

0.0063

2 > 1

0.17

 

Lyapunov

 

0.06

18.81

<.0001

2 > 1

0.27

 

0.01

2.47

0.1175

2 > 1

0.10

 

Frequency

 

0.03

7.28

0.0074

1 > 2

-0.17

 

0.02

4.38

0.0372

1 > 2

-0.13

 

Trend

 

0.01

2.62

0.1063

1 > 2

-0.10

 

0.03

8.84

0.0032

2 > 1

0.19

 

Seasonal

 

0.08

23.96

<.0001

1 > 2

-0.31

 

0.01

2.79

0.0958

1 > 2

-0.11

 

TSA serial correlation

 

0.00

0.56

0.4543

2 > 1

0.05

 

0.01

2.41

0.1219

2 > 1

0.10

 

TSA nonlinear

 

0.02

5.73

0.0173

2 > 1

0.15

 

0.01

1.71

0.1917

1 > 2

-0.08

 

TSA skewness

 

0.00

0.05

0.8236

1 > 2

-0.01

 

0.00

0.02

0.8980

1 > 2

-0.01

 

TSA kurtosis

 

0.04

10.58

0.0013

2 > 1

0.21

 

0.00

0.17

0.6790

2 > 1

0.03

                           

Mn

Serial correlation

 

0.01

3.14

0.0775

2 > 1

0.11

 

0.04

10.61

0.0013

2 > 1

0.20

 

Nonlinear

 

0.12

37.54

<.0001

2 > 1

0.37

 

0.01

2.42

0.1213

1 > 2

-0.10

 

Skewness

 

0.24

90.41

<.0001

2 > 1

0.54

 

0.01

1.46

0.2277

1 > 2

-0.08

 

Kurtosis

 

0.24

90.54

<.0001

2 > 1

0.54

 

0.04

10.69

0.0012

1 > 2

-0.21

 

Hurst

 

0.15

50.00

<.0001

2 > 1

0.42

 

0.02

5.79

0.0168

2 > 1

0.15

 

Lyapunov

 

0.13

40.55

<.0001

2 > 1

0.39

 

0.04

11.75

0.0007

2 > 1

0.22

 

Frequency

 

0.05

15.56

0.0001

1 > 2

-0.25

 

0.02

4.56

0.0335

1 > 2

-0.14

 

Trend

 

0.04

12.11

0.0006

2 > 1

0.22

 

0.02

4.28

0.0395

2 > 1

0.13

 

Seasonal

 

0.11

35.50

<.0001

1 > 2

-0.37

 

0.03

7.51

0.0065

1 > 2

-0.17

 

TSA serial correlation

 

0.00

0.09

0.7593

1 > 2

-0.02

 

0.00

0.30

0.5818

2 > 1

0.04

 

TSA nonlinear

 

0.01

1.69

0.1950

2 > 1

0.08

 

0.02

5.77

0.0170

1 > 2

-0.15

 

TSA skewness

 

0.03

7.37

0.0071

2 > 1

0.17

 

0.03

8.99

0.0030

1 > 2

-0.19

 

TSA kurtosis

 

0.04

12.69

0.0004

2 > 1

0.23

 

0.02

5.18

0.0237

1 > 2

-0.14

                           

Cu

Serial correlation

 

0.00

0.00

0.9875

1 > 2

0.00

 

0.03

7.76

0.0057

2 > 1

0.18

 

Nonlinear

 

0.01

1.40

0.2373

2 > 1

0.08

 

0.04

11.11

0.0010

2 > 1

0.21

 

Skewness

 

0.00

0.02

0.8890

2 > 1

0.01

 

0.02

7.06

0.0083

2 > 1

0.17

 

Kurtosis

 

0.01

4.13

0.0431

2 > 1

0.13

 

0.01

3.83

0.0514

2 > 1

0.12

 

Hurst

 

0.05

14.89

0.0001

2 > 1

0.24

 

0.06

17.00

<.0001

2 > 1

0.26

 

Lyapunov

 

0.01

3.95

0.0479

1 > 2

-0.13

 

0.07

22.29

<.0001

2 > 1

0.29

 

Frequency

 

0.03

8.28

0.0043

2 > 1

0.18

 

0.06

16.74

<.0001

1 > 2

-0.25

 

Trend

 

0.06

19.39

<.0001

1 > 2

-0.28

 

0.01

2.25

0.1349

2 > 1

0.10

 

Seasonal

 

0.00

0.00

0.9675

2 > 1

0.00

 

0.09

28.19

<.0001

1 > 2

-0.32

 

TSA serial correlation

 

0.00

0.09

0.7686

1 > 2

-0.02

 

0.02

4.84

0.0287

1 > 2

-0.14

 

TSA nonlinear

 

0.00

0.00

0.9534

1 > 2

0.00

 

0.00

0.26

0.6112

2 > 1

0.03

 

TSA skewness

 

0.01

1.87

0.1728

1 > 2

-0.09

 

0.01

3.95

0.0479

2 > 1

0.13

 

TSA kurtosis

 

0.01

1.82

0.1779

2 > 1

0.09

 

0.02

6.40

0.0120

2 > 1

0.16

                           

Zn

Serial correlation

 

0.01

3.82

0.0517

2 > 1

0.13

 

0.19

64.58

<.0001

2 > 1

0.46

 

Nonlinear

 

0.01

2.08

0.1503

2 > 1

0.09

 

0.07

20.22

<.0001

2 > 1

0.28

 

Skewness

 

0.00

1.19

0.2758

2 > 1

0.07

 

0.03

7.30

0.0073

2 > 1

0.17

 

Kurtosis

 

0.01

2.03

0.1554

2 > 1

0.09

 

0.01

1.66

0.1988

2 > 1

0.08

 

Hurst

 

0.08

23.79

<.0001

2 > 1

0.30

 

0.16

52.96

<.0001

2 > 1

0.43

 

Lyapunov

 

0.00

0.29

0.5904

1 > 2

-0.04

 

0.16

53.97

<.0001

2 > 1

0.43

 

Frequency

 

0.01

3.93

0.0483

2 > 1

0.13

 

0.09

26.64

<.0001

1 > 2

-0.32

 

Trend

 

0.01

3.13

0.0781

1 > 2

-0.11

 

0.12

36.66

<.0001

2 > 1

0.36

 

Seasonal

 

0.00

0.11

0.7359

1 > 2

-0.02

 

0.15

47.55

<.0001

1 > 2

-0.41

 

TSA serial correlation

 

0.01

1.84

0.1757

2 > 1

0.09

 

0.00

0.15

0.6948

2 > 1

0.03

 

TSA nonlinear

 

0.01

2.62

0.1065

1 > 2

-0.10

 

0.00

0.52

0.4703

1 > 2

-0.05

 

TSA skewness

 

0.00

0.55

0.4588

1 > 2

-0.05

 

0.01

3.58

0.0595

2 > 1

0.12

 

TSA kurtosis

 

0.00

1.07

0.3019

2 > 1

0.07

 

0.04

11.20

0.0009

2 > 1

0.21

                           

Sr

Serial correlation

 

0.48

262.72

<.0001

2 > 1

0.76

 

0.20

68.96

<.0001

2 > 1

0.48

 

Nonlinear

 

0.09

27.25

<.0001

2 > 1

0.32

 

0.04

12.51

0.0005

2 > 1

0.22

 

Skewness

 

0.11

36.10

<.0001

2 > 1

0.37

 

0.01

2.26

0.1338

1 > 2

-0.10

 

Kurtosis

 

0.00

1.18

0.2790

2 > 1

0.07

 

0.00

0.57

0.4505

1 > 2

-0.05

 

Hurst

 

0.33

136.39

<.0001

2 > 1

0.62

 

0.17

56.06

<.0001

2 > 1

0.44

 

Lyapunov

 

0.00

0.05

0.8261

1 > 2

-0.01

 

0.01

2.99

0.0851

2 > 1

0.11

 

Frequency

 

0.01

2.39

0.1236

2 > 1

0.10

 

0.00

0.35

0.5551

1 > 2

-0.04

 

Trend

 

0.21

73.13

<.0001

2 > 1

0.50

 

0.07

20.79

<.0001

2 > 1

0.28

 

Seasonal

 

0.01

2.70

0.1014

1 > 2

-0.11

 

0.03

7.93

0.0052

1 > 2

-0.18

 

TSA serial correlation

 

0.00

1.05

0.3072

1 > 2

-0.07

 

0.04

10.25

0.0015

1 > 2

-0.20

 

TSA nonlinear

 

0.00

0.60

0.4384

2 > 1

0.05

 

0.00

0.77

0.3797

2 > 1

0.06

 

TSA skewness

 

0.01

3.95

0.0479

2 > 1

0.13

 

0.00

0.47

0.4938

2 > 1

0.04

 

TSA kurtosis

 

0.03

8.63

0.0036

2 > 1

0.19

 

0.02

5.86

0.0161

2 > 1

0.15

                           

Ba

Serial correlation

 

0.42

201.73

<.0001

2 > 1

0.70

 

0.18

59.74

<.0001

2 > 1

0.45

 

Nonlinear

 

0.09

27.69

<.0001

2 > 1

0.33

 

0.01

3.09

0.0800

2 > 1

0.11

 

Skewness

 

0.00

0.00

0.9889

1 > 2

0.00

 

0.00

0.01

0.9268

2 > 1

0.01

 

Kurtosis

 

0.03

9.70

0.0020

1 > 2

-0.20

 

0.01

3.74

0.0541

1 > 2

-0.12

 

Hurst

 

0.22

78.76

<.0001

2 > 1

0.51

 

0.12

37.16

<.0001

2 > 1

0.37

 

Lyapunov

 

0.00

1.23

0.2690

2 > 1

0.07

 

0.01

4.16

0.0423

2 > 1

0.13

 

Frequency

 

0.00

0.01

0.9259

2 > 1

0.01

 

0.02

4.30

0.0391

1 > 2

-0.13

 

Trend

 

0.26

98.89

<.0001

2 > 1

0.56

 

0.16

54.72

<.0001

2 > 1

0.43

 

Seasonal

 

0.03

10.05

0.0017

1 > 2

-0.20

 

0.02

7.11

0.0081

1 > 2

-0.17

 

TSA serial correlation

 

0.00

1.17

0.2797

1 > 2

-0.07

 

0.02

6.33

0.0124

2 > 1

0.16

 

TSA nonlinear

 

0.00

0.98

0.3221

1 > 2

-0.06

 

0.02

4.50

0.0347

2 > 1

0.13

 

TSA skewness

 

0.01

3.09

0.0799

2 > 1

0.11

 

0.02

4.99

0.0263

2 > 1

0.14

 

TSA kurtosis

 

0.02

6.25

0.0130

2 > 1

0.16

 

0.05

15.40

0.0001

2 > 1

0.24

                           

Pb

Serial correlation

 

0.01

2.86

0.0919

1 > 2

-0.11

 

0.02

4.99

0.0262

2 > 1

0.14

 

Nonlinear

 

0.00

0.18

0.6693

1 > 2

-0.03

 

0.02

4.99

0.0263

2 > 1

0.14

 

Skewness

 

0.00

0.33

0.5686

2 > 1

0.04

 

0.04

12.42

0.0005

2 > 1

0.22

 

Kurtosis

 

0.02

6.68

0.0102

2 > 1

0.17

 

0.03

9.71

0.0020

2 > 1

0.20

 

Hurst

 

0.06

18.34

<.0001

2 > 1

0.27

 

0.01

3.76

0.0534

2 > 1

0.12

 

Lyapunov

 

0.01

2.07

0.1510

2 > 1

0.09

 

0.01

1.72

0.1904

1 > 2

-0.08

 

Frequency

 

0.00

0.36

0.5487

1 > 2

-0.04

 

0.02

5.66

0.0180

2 > 1

0.15

 

Trend

 

0.09

26.04

<.0001

1 > 2

-0.32

 

0.01

3.06

0.0814

2 > 1

0.11

 

Seasonal

 

0.06

16.51

<.0001

1 > 2

-0.26

 

0.00

0.04

0.8349

2 > 1

0.01

 

TSA serial correlation

 

0.01

4.24

0.0403

2 > 1

0.13

 

0.00

0.50

0.4798

2 > 1

0.05

 

TSA nonlinear

 

0.01

2.42

0.1210

1 > 2

-0.10

 

0.00

0.17

0.6833

2 > 1

0.03

 

TSA skewness

 

0.00

0.08

0.7772

1 > 2

-0.02

 

0.03

7.22

0.0077

2 > 1

0.17

 

TSA kurtosis

 

0.00

0.49

0.4839

2 > 1

0.05

 

0.03

10.14

0.0016

2 > 1

0.20



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