Coefficient/ Statistic

Quadratic function

Exponential function

Power function

Hake

Blue whiting

Hake

Blue whiting

Hake

Blue whiting

x

1.98802 (0.0000)

6.2841 e0.5 (0.0263)

sq_x

−2.94291 e0.6 (0.0000)

xy

1.83165 e0.9 (0.1873)

−3.12827 e0.6 (0.2005)

7.13 e0.12 (0.3646)

8.2693 e0.12 (0.1333)

y

1.49868 (0.0000)

2.85098 e0.6 (0.0000)

sq_y

−8.21632 e0.8 (0.2226)

xyL_x

2.01014 e0.12 (0.0000)

xyL_y

2.03629 e0.12 (0.0000)

R2

0.993225

0.985446

0.795283

0.870396

0.723472

0.742810

R2 adjusted

0.992661

0.984233

0.787094

0.865211

0.723472

0.742810

log-likelihood

−300.2893

−398.1802

−83.93742

−84.31655

−87.99664

−93.56849

Rho

0.488674

0.439072

0.967083

0.876967

0.985883

0.978454

Akaike criteria (AIC)

606.5787

802.3605

171.8748

172.6331

177.9333

189.1370

Durbin- Watson

0.990641

1.120075

0.062242

0.169199

0.068781

0.075548