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<br />and Ryman 1987). However, there has never been a com- <br />prehensive attempt to measure the levels of inbreeding <br />actually occurring in hatcheries or to determine whether <br />measures that have been adopted to increase effective <br />population size have been adequate. In the only salmon <br />study that measured all the parameters necessary to calculate <br />effective population size, Simon et a1. (1986) showed that <br />a dangerously low N~ may have occurred in some years in <br />a coho salmon hatchery regularly returning thousands of <br />adults each year. <br />We describe here several approaches that can be used to <br />evaluate the extent of genetic changes. They can easily be <br />incorporated into a program to monitor the effectiveness <br />of hatchery operations. <br /> <br />Levels of Genetic Variability <br /> <br />One of the most serious problems faced by wild and <br />hatchery populations is the permanent loss of genetic <br />material. Not only can such losses affect the immediate <br />performance of a stock (see Allendorf and Ryman 1987), <br />but they also limit its flexibility to respond to changing <br />conditions in the future. A useful measure of the amount <br />of genetic variability in a population is the percentage of <br />heterozygous individuals averaged over many gene loci <br />(H). Interpretation of heterozygosity values is not always <br />simple, however. The wide range of H values found in <br />different organisms (0 to over 50%; Nevo et al. 1984) means <br />that any particular value by itself gives little indication of <br />the genetic health of a population. Even within Pacific <br />salmon species, H may vary naturally by a factor of 4 or <br />more among wild populations from different geographic <br />areas (Utter et al. 1989) and by 50% among populations <br />within a drainage (Winans 1989), with little if any apparent <br />effect on fitness. <br />The important goal in managing Pacific salmon popula- <br />tions, therefore, is not to achieve a particular level of <br />heterozygosity, but to ensure that existing levels of genetic <br />variability are not compromised by management practices. <br />One evaluation strategy is to monitor changes in hetero- <br />zygosity levels over time in all hatchery stocks. However, <br />because H is most strongly affected by changes in the <br />frequency of common alleles, serious losses of rarer alleles <br />can occur before significant decreases in heterozygosity are <br />apparent (Fig. 2). An effective monitoring program needs <br />a more sensitive indicator of problems posed by inbreeding <br />before they cause serious, perhaps irreversible, damage. <br /> <br />Change in Allele Frequency <br /> <br />An early indication of small population size can be <br />obtained by monitoring changes in allele frequency over <br />time. Genetic changes in Pacific salmon populations have <br />been difficult to interpret because most existing models of <br />such changes were derived for organisms with simpler life <br />history strategies. Recent approaches using computer sim- <br />ulations to model the complex pattern of one-time repro- <br />duction with overlapping year classes found in these species <br />have provided a context for the interpretation of observed <br />genetic changes (Waples and Tee11990; Waples, in pressl). <br />Results of these simulations have been used to show that <br />allele frequency changes observed in a group of nine chinook <br />salmon populations from coastal hatcheries in Oregon (Fig. <br /> <br />22 <br /> <br />'-., <br /> <br />3) most likely reflect a limited effective number of breeders. <br />In contrast, temporal changes in nine Oregon wild stocks <br />and three California hatchery stocks were relatively small <br />and can be explained by a model involving small amounts <br />of genetic drift in relatively large populations (Waples and <br />TeeI1990). <br />The magnitude of allele frequency change has been used <br />to estimate N, in organisms with discret.? generations (Krim- <br />bas and Tsakas 1971; Nei and Tajima 1981; Waples 1989), <br />and a similar approach can be used to estimate N~ in Pacific <br />salmon (Waples, in press2). Estimates of N~ provide an <br />indication of the degree of inbreeding occurring in a pop- <br />ulation and, therefore, a means of evaluating the success <br /> <br />~ <br />z <br />Z <br />< <br />::0 <br />w <br />a:: <br />z <br />o <br />i= <br />a:: <br />o <br />a. <br />o <br />a:: <br />a. <br /> <br />1.0 _. <br />\ ~.-._._ Heterozygosity <br />." .---.. <br />. <br />... '--...... <br />" _______ Alleles: <br />" .-.............. Po = 0.05 <br />... .------ <br />"'" . <br />............... <br />..._______ Alleles: <br />...__ Po = 0.02 <br />"'--... <br /> <br />0.8 <br /> <br />0.6 <br /> <br />0.4 <br /> <br />Nb = 24 <br /> <br />0.2 <br />o <br /> <br />80 <br /> <br />100 <br /> <br />20 <br /> <br />40 <br /> <br />60 <br /> <br />YEARS <br /> <br />Figure 2. Loss of genetic variation over time due to genetic drift <br />in Pacific salmon populations. Results are from simulations (Wa- <br />ples, in press!) using an age structure typical of many chinook <br />salmon populations (average age at reproduction = 4 years). If <br />the effective number of breeders each year (N~) is small, large <br />numbers of alleles at low initial frequency (P.) can be lost before <br />there is any detectable decline in heterozygosity. Monitoring allele <br />frequency change provides a much more sensitive indication than <br />heterozygosity of potential problems related to inbreeding. <br /> <br />VI <br />Iii <br />w <br />I-- <br />I-- <br />Z <br />tS <br />Li: <br />Z <br />~ <br />Vi <br />I-- <br />Z <br />w <br />U <br />a:: <br />w <br />a. <br /> <br />60 <br /> <br />40 <br /> <br />20 <br /> <br /> <br />'23~56789 <br /> <br />o <br /> <br />WILD HATCHERY <br />POPULATIONS POPULATIONS <br /> <br />Figure 3. Genetic changes over 2-4 years in samples (N "= 100 <br />individuals) from nine wild and nine hatchery populations of <br />chinook salmon from Oregon. For each population, chi square <br />tests of equality of allele frequencies in temporally-spaced samples <br />were performed for an average of 10 gene loci; the percentage of <br />single-locus tests yielding a significant (P < 0.05) result is indicated <br />by the height of the columns. A small effective population size <br />appears to be the most likely explanation for the relatively large <br />differences found in most of these hatchery stocks (Waples and <br />TeeI1990). <br /> <br />Fisheries, Vol. 15, No.5 <br />