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The predictive capability of each model was determined by the area under the relative operating characteristic curve.
The predictive capability of each model was determined from the area under the relative operating characteristic curve and the areas under the curves obtained using the frequency ratio, logistic regression, and weights of evidence methods are 0.976, 0.952, and 0.937, respectively.
The predictive capability of each model was determined using relative operating characteristic technique.
The validity of each model was determined by the sum of error squares (SSE %) given by % {text{SSE}} = sqrt {frac{{(q_{(exp )} - q_{{({text{cal}})}} )^{2} }}{N}} (6 where N is the number of data points.
The final structure of each model was determined using likelihood ratio tests (α = 0.05).
The validity of each model was determined in 10-fold cross-validation and in the so-called randomization test.
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Coefficient estimates for each model were determined using the full dataset and estimated via maximum likelihood.
Values of α and γ for each model were determined by a systematic grid search.
The model constants belonging to each model were determined by linear regression and were proposed for use in column design.
The age structure and natural history parameters for each model are determined by the type of survivorship.
The sensitive parameters from each model were determined from the consistent robustness analysis as listed in Table 1 (for further detail see [47]).
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