{"refrec":{"BRefID":27169,"RR":"<b>Brooks, E.N.</b> (2002). Using reproductive values to define optimal harvesting for multisite density-dependent populations: example with a marine reserve. <i>Can. J. Fish. Aquat. Sci. 59(5)</i>: 875-885","BEntID":27169,"PublicFlag":1,"CheckedFlag":0,"wosflag":1,"vabbflag":null,"RefStringPartII":". <i>Can. J. Fish. Aquat. Sci. 59(5)</i>: 875-885","DocTypID":8,"DocType":"Journal article","MarineFlag":1,"FreshFlag":0,"BrackishFlag":0,"TerrestrialFlag":0,"Authorstring":"Brooks, E.N.","OrigTitleTranslFlag":0,"Authorstringtrunc":"Brooks, E.N.","Englishabstract":"A new method for determining optimal harvest from age-structured populations with a density-dependent stock-recruit relationship is presented. The theoretical optimal harvest comes from removing the age-class with the smallest ratio of reproductive value to weight. The method is derived from considering the sensitivity of equilibrium egg production to harvest using results for density-dependent Leslie matrices. The method holds in both single- and multi-site contexts and is derived for both Ricker and Beverton-Rolt recruitment functions. I illustrate the method for a one-site model of Arcto-Norwegian cod (<i>Gadus morhua</i>) and obtain the same optimal strategy as previous methods, namely that age-class 6 should be harvested 45%. Including age-specific selectivities, the best constrained yields occur at a harvest rate of 11% on ages 5-12. This yield is 73% of the theoretical optimum. I considered the same model when a reserve is established and found that high transfer rates out of the reserve (where spawners attain a higher fecundity) produced greater yields that were 86% of the one-site (no reserve) yield. 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