Appendix XXVI. Time-series models used to describe the log-transformed density (no./SOO m ) of Tautognlabrus adsperaus eggs 

 collected at station EN and analytical summary. 



Model' : Z, = B\S{BiSIN{tKx2) - BjCOSitKn) ^ BiSIN{tK<i) - BsCOS{lKt)) + A^ - /), 



Model summary statistics: SSE = 227.6, df -- 358. MSB ^ 0.64, R ^ 0.96 



Sum of deviations from model forecast 

 Year SSE*" df MSE*" Above Below 



t = time in days 



K^ ~ constant for period of duration m months 



Ap ~ autoregressive coefTicients at lag p 



Mp ~ moving average coefTicients at lag p 



S -= dummy variable for season (see Table 7) 



annual component of SSE 



MSE - SSE/df 



SigniTicantly higher than the model MSE, F statistic (p 



0.05) 



100 



