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<br />Squawfish Population Viability Analysis --July 1993 <br /> <br />Page 28 <br /> <br /> <br />Figure A.2 Representation of the possible pattern of migration in the Colorado <br />squawfish. <br /> <br />Slatkin repeated his simulation using a one dimensional stepping-stone model and <br />achieved significantly higher values of p(l). Thus we might expect the correlation <br />for the Colorado squawfish to lie somewhere slightly above the one shown in <br />figure 1. This means that if a p(l) value of greater than 0.07 was obtained it would <br />not be possible to say whether there was a risk of inbreeding or not, however if the <br />value was less than 0.07 the risk could be dismissed. <br /> <br />3.1 Introduction to Density Regulation <br /> <br />Density dependent growth regulation seems to be used less in population <br />viability analysis than in other areas of applied ecology, for example, in <br />optimal harvesting theory. One possible reason for this is that species <br />treated under endangered species law are thought to be well below their <br />natural carrying capacity and thus below the density at which negative <br />feedback would operate to slow population growth. For example, almost <br />all of the analysis done on grizzly bears and the desert tortoise is based on <br />demographic analyses that do not adjust parameters for changes in <br />population density. On the other hand, the fisheries literature is rich in <br />mathematical models that account explicitly for density levels, commonly <br />referred to as stock levels. The analysis to follow approaches the question <br />of density dependence in squawfish viability through various lines of <br />inference. It must be stated at the outset, however, that actually fitting <br />