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Figure 1. Schematic depicting the three subpopulations modeled and the spatial <br />dynamics associated with each life history stage. <br />~~~ <br />-Fjt,~ ~»s; s <br />a~,a-a.~a,, <br />~i <br />~~~ <br />~~ <br />7xu~~~, <br />2 <br />I aicP«ra ac ~Lo.! <br />Saetios 3 I <br />N;,; =number of fish for each age class i=-0,1,2,3,Adult for each section,]=1, 2, ...14 ~ . <br />N,~~=initial Nei . <br />Nai N~,l*F*S *R =number of age 0 produced equals number of surviving eggs and larvae <br />from adult females where F= fecundity, S=survivorship, and Reg ratio. <br />N;, Z N;,1- K;, i - 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;,~ = N~~, r~,i * 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 (r~ from that section U~ multiplied by the <br />survivorship value for that age class change. . <br />s <br />a«..r ~.~ <br />a~,+m+~. <br />s«~. i <br />,.axe,-r~, <br />;<x~a,,, ~ da, <br />s«m~2 <br />Lcpane ar sbea <br />Sedioa 3 <br />T,..t eime d~ <br />-~ty~s; ~ <br />¢u dnsh~, doe <br />a.~. i <br />..ax<, ~+ <br />_isa~ <br />~x~~,~o..tsy,dre <br />seetiot t <br />~~bo <br />Seetioa 3 <br />