S2 Figs. Diagnostic plots of linear regression models ...

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Assumptions of linear regressions (i.e homoscedasticity and normality of residuals) and lack of influential points were checked by drawing the standard ...
S2 Figs. Diagnostic plots of linear regression models. Assumptions of linear regressions (i.e homoscedasticity and normality of residuals) and lack of influential points were checked by drawing the standard diagnostic plots of R.

32

1

2

3

Normal Q-Q

-1 0 -3

16 141

Standardized residuals

0.0 -1.0 -2.0

Residuals

1.0

Residuals vs Fitted

3216 141

-1

0

1

2

Residuals vs Leverage

0.5

4.5 5.0 5.5 6.0 6.5 7.0 7.5 Fitted values

14 39

-1 0 1

32

-3

141 16

2 3

Scale-Location Standardized residuals

Theoretical Quantiles

1.0

1.5

-2

Fitted values

0.0

Standardized residuals

4.5 5.0 5.5 6.0 6.5 7.0 7.5

32 Cook's distance

0.00

0.02

0.04

0.5

0.06

Leverage

Figure S2.1: Diagnostic plots for log(APP abundance) vs. log(chlorophyll a concentration) fitted for all data.

Residuals vs Fitted

5.1

141

5.2

5.3

5.4

2 1 0 -3 -2 -1

Standardized residuals

0.5 -0.5

Residuals

-1.5

64 61

Normal Q-Q

5.5

64 61 141

-2

Fitted values

5.3

5.4

Fitted values

5.5

2

2 1 -1 0 -3

Standardized residuals

1.5 1.0 0.5

5.2

1

Residuals vs Leverage

141

0.0

Standardized residuals

5.1

0

Theoretical Quantiles

Scale-Location 61 64

-1

0.5

64

61 Cook's 141 distance

0.00

0.04

0.08

1

0.12

Leverage

Figure S2.2: Diagnostic plots for log(APP abundance) vs. log(chlorophyll a concentration) fitted for data data points where organic matter free suspended solid concentration (TSS-Org) is below 50 mg/l.

32

1

2

37

0 -3 -2 -1

16

Normal Q-Q Standardized residuals

-1.0

0.0

37

-2.0

Residuals

1.0

Residuals vs Fitted

5.0 5.5 6.0 6.5 7.0 7.5

32

-2

Fitted values

0

1

2

5.0 5.5 6.0 6.5 7.0 7.5

Residuals vs Leverage 2

37

0

1

14

-3 -2 -1

Standardized residuals

1.5 1.0 0.5 0.0

Standardized residuals

32

37

Fitted values

-1

Theoretical Quantiles

Scale-Location 16

16

Cook's 32 distance 0.00

0.02

0.04

0.06

0.5

0.08

Leverage

Figure S2.3: Diagnostic plots for log(APP abundance) vs. log(chlorophyll a concentration) fitted for data data points where organic matter free suspended solid concentration (TSS-Org) is above 50 mg/l.

32

1

2

3

Normal Q-Q

-1 0 -3

16 141

Standardized residuals

0.0 -1.0 -2.0

Residuals

1.0

Residuals vs Fitted

3216 141

-1

0

1

2

Residuals vs Leverage

0.5

4.5 5.0 5.5 6.0 6.5 7.0 7.5 Fitted values

14 39

-1 0 1

32

-3

141 16

2 3

Scale-Location Standardized residuals

Theoretical Quantiles

1.0

1.5

-2

Fitted values

0.0

Standardized residuals

4.5 5.0 5.5 6.0 6.5 7.0 7.5

32 Cook's distance

0.00

0.02

0.04

0.5

0.06

Leverage

Figure S2.4: Diagnostic plots for log(APP contribution) vs. log(chlorophyll a concentration) fitted for all data.

64 61

0.8

1.0

1.2

1.4

0

1

2

83

-1 -2

Standardized residuals

0.0 0.5 1.0

Normal Q-Q

83

-1.0

Residuals

Residuals vs Fitted

1.6

61

-2

1.2

1.4

Fitted values

1.6

1

2

2 1 0 -1 -2

1.0 0.5

1.0

0

Residuals vs Leverage

61 64

Standardized residuals

1.5

Scale-Location

0.8

-1

Theoretical Quantiles

0.0

Standardized residuals

Fitted values

83

64

136

64 Cook's distance 61

0.00

0.04

0.08

0.5

0.12

Leverage

Figure S2.5: Diagnostic plots for log(APP contribution) vs. log(chlorophyll a concentration) fitted for data data points where organic matter free suspended solid concentration (TSS-Org) is below 50 mg/l.

Residuals vs Fitted

65 150

1.5

1.6

1.7

1 0 150

-2

-1

0

1

2

Theoretical Quantiles

Scale-Location

Residuals vs Leverage 2

0.5

0.5

1.5

1.6

1.7

Fitted values

1.8

1 0 -1

1.0

149

5

-2

65

0.5

65

Cook's distance 150

-3

Standardized residuals

1.5

149 65

Fitted values

150

1.4

-1

1.8

0.0

Standardized residuals

1.4

-2

149

-3

Standardized residuals

0.0 0.5 -1.0

Residuals

2

Normal Q-Q

0.00

0.05

0.10

1

0.15

Leverage

Figure S2.6: Diagnostic plots for log(APP contribution) vs. log(chlorophyll a concentration) fitted for data data points where organic matter free suspended solid concentration (TSS-Org) is between 50 and 500 mg/l.

1 0 -1 -2 -3

151 153148

Normal Q-Q Standardized residuals

0.0 -1.0

Residuals

0.5

Residuals vs Fitted

-1

0

1

2

Scale-Location

Residuals vs Leverage

Fitted values

1 0 -1 -2

0.5

1.5 1.6 1.7 1.8 1.9 2.0

3

0.5

-3

153148 151

Standardized residuals

Theoretical Quantiles

1.0

1.5

-2

Fitted values

0.0

Standardized residuals

1.5 1.6 1.7 1.8 1.9 2.0

151 148 153

148 distance Cook's 153

0.00

0.04

0.08

1

0.12

Leverage

Figure S2.7: Diagnostic plots for log(APP contribution) vs. log(chlorophyll a concentration) fitted for data data points where organic matter free suspended solid concentration (TSS-Org) is between 50 and 500 mg/l.

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