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A <br /> <br /> <br /> <br />tance in adaptive evolution, other types of genetic variation also However, there is little direct evidence that heterozygosity per se <br />should be considered, such as the recessive lethal component of increases fitness (that is, that heterozygocc advantage at single loci is <br />inbreeding depression, selectively neutral polymorphism (that may common), beyond simply avoiding inbreeding depression and al- <br />be adaptive in an altered environment), and single genes of large lowing adaptation m environmental change (12). For populations <br />effect conferring resistance to specific selective agents causing sus- tracking a moving optimum phenotype in a fluctuating environ- <br />mined high mortality (such as pesticides or diseases). For example, ment, too much genetic variation can be detrimental since, in any <br />the maintenance of substantial heterozygosity by mutation at neutral generation, individuals deviating from the optimum phenotype are <br />loci may require N, larger than IW individuals because single loci selected against; the optimal amount of heritable variation in a <br />usually have low mutation rates on the order of 10-6 per gamere per quantimrive character depends on the magnitude and pattern of <br />generation (5). The relatively high mutability of quantitative trairs fluctuations in the optimum phenotype and on the strength of <br />implies thar, following a period of small population size during stabilizing selection within generations (27). <br />which most genetic variability has been lost, if the population Extinction is fundamentally a demographic process, influenced by <br />regains a large size then rypical levels of heritable variance can be genetic anenvironmen ctors. If a population becomes actin <br />restored by mutation on a time scale of 10= or 103 generations, or demographic reasons, such as bitat destruction, the amount of <br />which is much faster than the 1W or 106 generations for restoration genetic variation it has is irrelevant- For example, natural extinctions <br />of heterozygosiry by mutation at neunal loci (5). Low genetic of small populations of butterflies in California appear to be <br />polymorphism in soluble proteins reported in several species of large unrelated to their levels of protein polymorphism (28). Even for <br />mammals (23), therefore, does not necessarily mean that the popula- closely managed populations in a controlled emironmcm where <br />tion is devoid of heritable variance in quantitative characters, or of genetics plays a leading role, danography cannot be neglected in <br />inbreeding depression. Substantial independence of different apes achieving a stable population size and age distribution (29). For wild <br />of genetic variation undermines the "genetic uniformitarianism" of populations in natural or seminatural environments, demogra by is <br />Soule (8), which supposes that levels of all kinds of generic variation fit& o more rmm ate tx -enrna in d_aer- <br />hi <br />arc proportional. c <br />conning pop non ,7a ahty. Below rs an outline o p <br />Attempts to establish the minimum size for a viable population on of ctors eruct to a persistence of small populations. <br />genetic grounds alone are highly questionable for several reasons. <br />The management goal of preserving maximum genetic variability .?.? <br />? dprn??ra?4c7tr-s <br />within populations is based on the assumption that the rate of Demography - i4ipw f d a r <br />evolution in a changing environment is limited by the amount of <br />genetic variation (7, 8). This assumption has been previously <br />l <br />i <br />h <br />l <br />i <br />= <br />f <br />f <br />? Allee e ea. In many species, individuals in populations declining <br />and reproduction <br />erience diminished viabilit <br />be <br />ect <br />on), as t <br />e <br />(natura <br />se <br />avor o <br />ecological oppomm <br />n <br />rejected, in <br />at least in morphological evolution <br />primary rate-controlling factor y <br />to ow num <br />rs exp <br />for nongenetic reasons, and there may be a threshold densirv or <br />, <br />(26). Recent writings on genetics and conservation also espouse the number of individuals frbm below whi epopulation cannot <br />? <br />` view that genetic variation is adaptive in and of itself (7, 8). he <br />*=vcr. Known as an Allee cffi:ct, thiscan Tie caused hv <br /> ,)rganisms physically or chemically modifi•ing their environment by <br /> L. d ' d d marin success For <br />1.0 <br />ot- <br />Y 0.8 <br />r <br />c <br />0.6 <br />A <br />0.4 <br />0.2 <br />=? r 0 <br />social mterarnon or y enstty- epen rnt g <br />example, some aquatic microorganisms condition their medium by <br />releasing substances that stimulate growth of eonspecifics. Social <br />'animals frequently increase individual survival by group defense <br />against predators and competitors. In very sparse populations, social <br />interaction necessary for reproduction may be lacking, or it may be <br />difficult to find a mace (30). <br />Stochastic demography. Extinction of single populations is influ- <br />enced by two kinds of random demographic factors. "Demo hic C <br />stochasticirv" arises because, at anv time, individuals o a given age „G y <br />or c evc oPMrntal stage have probabilities (or rates) of survival and <br />reproduction, called vital rates. Assuming that these apply indepen- <br />dcntly to each individual, demographic stochasticity produces sam- <br />pling variances of the vital rates inversely proportional to pc =,: uiataon <br />size. In contrast, "emironmental stochasticity" is represented by <br />temporal changes in the v u rates at ect all individuals of a <br />given age or stage similarly; the sampling variances of the vital rates <br />arc then nearly independent of population size. For this reason, and <br />because most populations undergo substantial fluctuations due to <br />changes in weather and the abundances of interacting species, <br />environmental stochasticity is generally considered to dominate <br />` 0 0.2 0.4 0.6 0.8 1 0 demographic stochasticity in populations larger than about 100 <br />' h ?erMr,?l individuals (31, 32). This conclusion is supported by observations of <br />r0?? , 1;;., 0 ? Gr?x ?,?,?ps?? -Of Ca?la?,.;? h6;0 It <br />Fig. 1. The proportion of suitable habitat occupied at demographic equilib- birds on islands, which, except for very small populations (initially <br />rium, p, for a territorial age-structured population in a patchv environment; less than 30 breeding pairs), become extinct at rates far greater than <br />h is the proportion of a large region composed of patches of suitable habitat, predicted by demographic st:ochasticity alone (31). <br />-i ch the size of individual territories, that arc assumed to be randomly or Simple analytical models describing the stochastic civnamics of <br />".eniv distributed in space. The demographic potential of the population, k, density-dependent populations without age structure (31. 32), or <br />c. the cUwGhnum occupancv in a complctcly suitable region, as derer- <br />w.cd by the lite history and dispersal behavior. (Reproduced with permis- densirv-independent populations with age structure (33), yield <br />l nm, yualirative insights into the importance of different patterns of