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Exact estimates of the effective population size are complicated. For example, <br />the formula given above for the effect of sex ratios assumes random mating, <br />constant population size through time, and variance in <br />fertility that approaches to Poisson distribution. Effective population size can <br />be maximized by non-random matings of paired individuals and equalizing the sizes <br />of family lots (Allendorf 1993). <br />The effective population size should be maximized in every hatchery generation to <br />reduce the risk of loss of within-population genetic variation (Kapuscinski et al. <br />1993). Strategies for conserving genetic diversity in captive-reared fish are <br />summarized in Box 9. <br />Box 9. Strategies for conserving genetic diversity of endangered and <br />candidate fish. <br />1. The genetic diversity of wild fish stocks should be characterized <br />by genetic markers. <br />2. Captive propagation and stocking should be considered temporary <br />management tools to facilitate development of self-sustaining <br />wild fish stocks. <br />3. Broodstocks should be developed from an appropriate donor source <br />in an artificial genetic refuge that offers maximum control. <br />4. Appropriate breeding strategies should be used to maintain genetic <br />diversity similar to the wild donor stock or population. <br />5. The genetic diversity of captive broodstocks and their progeny <br />will be monitored and compared to the genetic diversity of wild <br />stocks. <br />6. The number of captive-reared fish that are to be stocked should be <br />limited to prevent potential risks to severely depleted wild stocks <br />from genetic swamping. <br />The rate of inbreeding ( Q F) can be calculated if the N is known using the <br />formula: <br />1 <br />j?F= 2N <br />By applying this formula, the estimated rate of inbreeding for an effective <br />population size of 50 (equal sexes) is 1 %. For an effective population size <br />of 10 (equal sexes), the estimated rate of inbreeding <br />is 5%. Therefore, it is advantageous to use as many adult fish as possible in <br />developing broodstocks. <br />21