Maunder and Walters: Integrating environmental time series into stocl< assessment models 



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relative size of the penalty compared to -InLp gets smaller 

 and therefore the estimates of e^ change so that p, gets 

 closer to p,. Therefore, for model 2, x^ does not increase 

 proportionally with A^. 



An appropriate test for the environmental model would 

 be to produce sets of random environmental indices that 



have the same variance and auto-correlation as the actual 

 environmental index to determine the appropriate value 

 of X- that would give the desired type-I error This test 

 would overcome the sample size effect. The method could 

 also be used to refine the test for the environmental model 

 with process error. 



