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. 2009 Feb 4;106(8):2671–2676. doi: 10.1073/pnas.0808279106

Table 2.

Summary of statistics and results from the model fitting and selection procedure for biomass for each size class and mortality scenario

Size class Model P value Estimated df* GCV AIC Adjusted R2
(A) Adult mortality
Juveniles Smoother .004 2.69 3.16 250 0.36
Linear .017 4.19 259 0.10
Nonrecruits Smoother .082 2.24 4.37 283 0.20
Linear .971 5.43 290 −0.03
Adults Smoother <.001 1 11.4 349 0.59
Linear <.001 11.4 350 0.59
Total Smoother <.001 3.73 0.03 367 0.53
Linear <.001 0.03 375 0.40
(B) Juvenile mortality
Juveniles Smoother .001 4.09 1.72 226 0.48
Linear <.001 2.1 232 0.31
Nonrecruits Smoother .098 1 0.02 249 0.26
Linear .001 0.02 249 0.26
Adults Smoother .209 3.31 17.5 368 0.12
Linear .571 18.62 371 −0.02
Total Smoother .380 1.16 17.18 378 −0.03
Linear .793 17.19 378 −0.03

Statistics for selected models are given in bold. P values are for smoothing terms and slopes for GAM and linear regression models, respectively.

*Estimated df for the smoothing term as provided by the fitting procedure. These should not be to close to 1 or the maximum df possible (here 6).

GCV scores are for GAMs with and without (= linear) smoothing terms for mortality rate, whereas AICs are for GAMs with smoothers and standard linear models (= linear). The lower the GCV score, the better the model performance. GAMs without smoothing terms are here essentially standard linear models, so the both comparisons select the same models.

Marginally significant.