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<br />Squawfish Population Viability Analysis --July 1993 <br /> <br />Page 37 <br /> <br />When a larger male spawns with a larger female, not only the total output <br />of eggs increases, but also the fraction of the eggs that should be fertilized <br />also increases. That is, each female egg is now in a solution containing <br />many more sperm, and thus the chance of fertilization is greater. This <br />effect could also be nonlinear, perhaps quadratic. Figure 3.6 illustrates the <br />possibility. Figure 3.7 shows the causal loops that could lead to it. <br /> <br />" '~:. .J.:'.'::"~~'" '" '. _ <br />:' ."'....:.,..} . ~ . <br />'''''''~_'1''J.~",,, .... .' <br />"I, ""._ . '. "', ~;, <br /> <br />'{" ~ ~;;~" <br /> <br />\ '-'- <br /> <br />~ i ,- -, l ,,\~. ~ . f' <br /> <br />~'~j")~:~;~;;;:'l;~~~J" ' <br /> <br /> <br /> <br />8 <br /> <br /> <br /> <br />Figure 3.6. A schematic illustration of the effect adult body size has on <br />spawning output. The larger animals produce more gametes, a larger <br />fraction of which is fertilized. The fraction fertilized -is indicated as the <br />intersection of the two circular sets. <br />