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<br />100 <br /> <br />NUMBER <br />OF OFFSPRING <br /> <br /> <br />C) <br />z <br />:> <br />~ <br />~ 50 <br />I- <br />Z <br />W <br />o <br />II: <br />W <br />0.. <br /> <br />3 <br /> <br />5 <br /> <br />FIGURE 2. The sensitivity of the <br />model to changes in fecundity <br />(mean number of viable oft'spring <br />per female). <br /> <br />o <br /> <br />20 <br />GENERATION <br /> <br />40 <br /> <br />of offspring to survive to maturity as a function of the offspring inbreed- <br />ing coefficient. If a straight line is fitted to a plot of the inbreeding coeffi- <br />cient versus the negative logarithm of the proportion of the offspring <br />surviving to reproductive age, the slope of this line (Bt) is a measure of <br />the intensity of inbreeding depression. Hence, it is a measure of the ge- <br />netic load of the source population. I assume a linear relationship because <br />it is expected theoretically (Morton, Crow and Muller, 1956), although <br />Kosuda (1972) has found a concave upward curvature to the relationship <br />between the negative log of survival and inbreeding in Drosophila (a dis- <br />couraging sign for the future of captive populations if it is generally true). <br />Torroja (1964) has less extensive evidence of a concave downward curva- <br />ture to the inbreeding-survival relationship in Drosophila (an encourag- <br />ing sign consistent with Slatis' (1975) view that if a population survives <br />an initial episode of inbreeding, major problems with further inbreeding <br />depression will probably not arise). Schull and Neel (1965) found no sig- <br />nificant departures from linearity in a large human sample, but the low <br />levels of inbreeding in their sample also limited their ability to detect <br />departures from linearity. <br />Figure 3 shows the effects of variation in viability depression on sur- <br />vival of captive populations. The line labeled 1.0 shows i;he viability de. <br />pression level used as a standard for all of the calculations whose results <br />are shown in other figures. Extinction is almost certain within 25 genera- <br />tions. The remaining lines show the effect of variation in Bl over a range <br />of likely values. This range can be compared to a number of published <br />estimates of Bl (recalculated to give comparable measures). A half dozen <br />species of Drosophila have Bl values ranging from 0.23 to 1.8 (Mettler <br /> <br />212 <br /> <br /> <br />SENNER/CHAPTER 12 <br />INBREEDING DEPRESSION AND THE SURVIVAL OF ZOO POPULATIONS <br /> <br />Gregg, 1969). Viability depression in four kinds of fowl range from <br />in the domesticated chicken to 3.74 in the Hungarian chukar par- <br />dge (Abplanalp, 1974). The mean of 10 studies on Japanese humans is <br />7 (Schull and Neel, 1972). Slatis (1960) found the low value of 0.06, not <br />'ficantly different from zero, in the wisent. <br /> <br />~ecundity Depression <br /> <br />Inbred animals are more likely to be sterile than outbred animals and <br />. bred mothers are poorer mothers than outbred mothers. Both factors <br />l~uce the ultimate fecundity of a pair of animals as a function of the <br />{evel of parental inbreeding. Figure 4 shows the probability of population <br />llU1'Vival for three values of fecundity depression. The value of 0.5 for B2 <br />(Obtained in a similar fashion to B1) was used as a standard o~ all other <br />figures. In comparison, Abplan~p (1974) found ~at the .coefficIent relat- <br />ing depression of egg hatchabIlity to maternal mbreeding ranged from <br />0.12 for chickens to 0.55 for the chukar partridge. Studies on Japanese <br />humans give values of 0.5 and 0.6 for B2 (Schull and Neal, 1972; Tanaka, <br /> <br />1977). <br /> <br />100 <br /> <br />100 <br /> <br /> <br /> <br />VIABILITY <br />DEPRESSION <br /> <br />(!) <br />z <br />:> <br />:> <br />II: <br />~ 50 <br />I- <br />Z <br />W <br />U <br />II: <br />W <br />0.. <br /> <br />50 <br /> <br />1.5 <br /> <br />o 20 <br />GENERATION <br /> <br />30 60 90 <br />GENERATION <br /> <br />FIGURE 3. The sensitivity of the <br />blodel to changes in the level of <br />ViabUity inbreeding depression. <br /> <br />FIGURE 4. The sensitivity of the <br />model to changes in the level of <br />fecundity inbreeding depression. <br /> <br />213 <br />