Table 3 Regression equations obtained by the MFP method in each domain (D) by using exploratory and 3-variable models.

From: Magnitude of nitrate turbulent diffusion in contrasting marine environments

D

Adj-R2

Variable

Functional form

Coefficient

Std Error

pvalue

T

0.66

Intercept

 

− 23.28

3.416

p < 0.001

grNO3

log(grNO3/100)0.5

1.499

0.191

p < 0.001

SSS

SSS/100

49.81

9.141

p < 0.001

avrN2

(avrN2/10–4)2

0.032

0.012

p < 0.01

(avrN2/10–4)3

− 0.002

0.001

p < 0.01

sNO3

log(sNO3 + 0.1)

− 1.136

0.175

p < 0.001

(sNO3 + 0.1)

0.783

0.134

p < 0.001

0.27

Intercept

 

1.307

1.285

 

grNO3

log(grNO3/100)

0.590

0.118

p < 0.001

M

0.63

Intercept

 

5.210

2.300

p < 0.05

SST

SST/10

− 3.420

1.188

p < 0.05

sCHL-a

sCHL-a

1.090

0.538

p < 0.1

G

0.56

Intercept

 

− 2.772

0.624

p < 0.001

grNO3

grNO3/100

1.940

0.305

p < 0.001

MLD

MLD/10

0.433

0.181

p < 0.05

0.49

Intercept

 

− 1.702

0.468

p < 0.001

grNO3

grNO3/100

1.641

0.299

p < 0.001

A

0.75

Intercept

 

5.410

0.842

p < 0.001

SST

SST + 1.1

− 2.751

0.514

p < 0.001

GM

0.63

Intercept

 

2.148

0.759

p < 0.01

grNO3

(grNO3/100)0.5

1.738

0.300

p < 0.001

sNO3

sNO3 + 0.1

0.246

0.087

p < 0.01

avrN2

(avrN2/10–4)

− 0.255

0.062

p < 0.001

SST

SST/10

− 2.370

0.328

p < 0.001

dmaxN2

(dmaxN2/100)2

1.482

0.491

p < 0.01

(dmaxN2/100)2*log(dmax N2/100)

− 2.120

0.647

p < 0.01

maxN2

log(maxN2/0.001)

0.909

0.272

p < 0.01

log(maxN2/0.001)2

0.372

0.091

p < 0.001

0.50

Intercept

 

2.851

0.576

p < 0.001

SST

SST/10

− 2.471

0.243

p < 0.001

grNO3

log(grNO3/100)0.5

1.636

0.274

p < 0.001

  1. T indicates tropical and subtropical regions, M Mediterranean Sea, G Galician coastal upwelling, A Antarctic Peninsula, and GM global model built with the complete dataset except those collected in the Antarctic Peninsula. Exploratory models used all the predictors, and 3-variable models only used sea surface temperature (SST), surface chlorophyll-a (sCHL-a) or vertical nitrate gradient (grNO3). Adj-R2 is adjusted squared coefficient of determination, and Std Error standard error. The number of stations used to build each model is indicated in Table 1.
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