© 2006 International Council for the Exploration of the Sea
Measuring the strength of environmentrecruitment relationships: the importance of including predictor screening within cross-validations
National Institute of Water and Atmospheric Research Private Bag 14902, Wellington, New Zealand
*Correspondence to R. I. C. C. Francis: tel: +64 4 386 0525; fax: +64 4 386 0574. e-mail: c.francis{at}niwa.co.nz.
There has recently been considerable interest in establishing relationships between environmental variables and annual recruitment to fish stocks. Such relationships have the potential to reduce the uncertainty in the assessment of the stocks. When many environmental variables are considered, it is easy to draw conclusions that exaggerate the ability to predict recruitment. One technique to protect against this is cross-validation. This technique has usually been incorrectly applied, in that it has not included predictor screening (the selection from a large set of potential predictors of a smaller set to use in prediction). A simulation experiment is used to show that this omission can cause chance correlations to be wrongly identified as useful, and the reliability of useful predictors to be overestimated. It also shows that the mistaken use of chance correlations to predict recruitment can be worse than the use of the default predictor (the mean of previous recruitments), and that our ability to measure the reliability of recruitment predictors is typically poor.
Keywords: cross-validation, environment, predictor screening, recruitment
Received 29 September 2005; accepted 10 January 2006.
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