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1 <br />1 <br />1 <br />1 <br />1 <br />1 <br />1 <br />1 <br />1 <br />1 <br />1 <br />1 <br />1 <br />1 <br />1 <br />1 <br />1 <br />1 <br />Figure 1. Schematic diagram depicting the three subpopulations modeled and the <br />spatial dynamics associated with each life history stage. <br />Seetioa 1 <br />Sed+oa 2 <br />Saetiaa 3 <br />Sect»a I <br />'cat---- t'-~"f <br />~'1'i.+.ki ~ <br />Seetioa l <br />Sectioa 3 <br />SKtina i <br />_IOO aae eksi' <br />xv~.+xi ~ <br />satioa 2 <br />Saetina D <br />N;; cumber of fish for each age class i=4,1,2,3,Adult for each section j=1, 2, ...14 <br />N,~~-initial N,~1 ' <br />Nat N,,,,I*F*Sa*R = number of age 0 produced equals number of surviving eggs and lar<~ae <br />from adult females where F= fecundity, S=survivorship, and R=sez ratio. <br />N;,2 N;, i - I{~ 1- D; * N;,1=the number of age class i migrating from section 1 is equal to the <br />number above K=carrying capacity minus the number that die during dispersal= D <br />N;~3 =N~;,;.,,~ * S; =the number surviving in the next time step is equal the number in the <br />previous time step (t) for the previous age class (i) from that section U? multiplied by the <br />survivorship value for that age class char~~e. <br />9 <br />ieaa~ Nae itq <br />lfnt tlime Ay <br />Tua1 tine dq <br />