Biologicel C o ~ ~ ~ t'FiO a(1994) n 25-31 0 1994 Etxvier E d- L i m i RimedinGrstBrilainAOdghurssprved w3m7/94M7.00 GENETIC DIVERSITY ASSESSMENT IN A METAPOPULATION OF THE BUTTERFLY Euphydryas gillettii Diane M. Debinski* Biology Deparhenl, Montana State University, Bozeman, Montana 59717, USA (Received I2 March 1993;revised version received 9 November 1993;accepted 1 December 1993) Abstract Euphydryas gillettii is a Rocky Mountain endemic butterfy distributed in small, widely separated populations, which appear to be declining. This paper presents the results of a genetic diversity assessment within and among E. gdlettii colonies comprising the Glacier National Park (GNP) metapopulation. Four colonies were assayed within GNP during 1988 and 1989, and two outgroups, colonies from Idaho and Wyoming, were also compared with GNP populations for allelic uniqueness and heterogeneity. D%feences between the 1988 and 1989 data suggest that E. gillettii may exist as a biennial population. Minor dfferences were found among GNP populatwnr while larger dzrerences were found among M o n t m , Wyoming and Idaho populationr. Heterozygosity was higher than expected, suggesting a potential selective advantage for heterozygotes. Heterozygosity was also found to be higher in populations that were distributed in a linear space along stream corridors relative to those in meadows. More research should be conducted with respect to dispersal along streams as it appears that these corridors may be signifcant in the maintenance of the me tapopulation. or endangered, yet its population numbers are such that there may be cause for concern in the future. The goal of this project was to assess genetic diversity within and among E. gillettii colonies composing the Glacier National Park (GNP) metapopulation and to determine the conservation implications of this analysis. Historically, five colonies were known to exist in the GNP ecosystem (S. Kohler, pen. cornrn.). A species whose range is composed of more or less geographically isolated patches, interconnected through patterns of gene flow, extinction, and recolonization, is said to form a 'metapopulation', or 'population of populations' (Lande & Barrowclough, 1987). Each population is spatially and often times genetically distinct from the others, but each is still a component of the larger metapopulation, a term coined by Levins (1970). Levins' (1970) mathematical model showed that metapopulation viability is dependent upon maintaining a critical balance between patch colonization and extinction. Patch extinction is not necessarily detrimental to the metapopulation unless there is a cumulative effect of demographic instability andlor loss of genetic variation (Gipin & Soule, 1986). The ecology and population genetics of several species of checkerspot butterflies have been under intensive study in the western United States for the past auarter centurv. In fact. one of the best documented natural extinctions of butterfly populations is that of Euphydryas editha bayensis (Ehrlich, 1983); thus ample comparative data exist. Many of these data already have made important contributions to the theory and practice of conservation biology (e.g., Ehrlich & Murphy, 1987). Ehrlich (1983) found that when Euphydryar populations fall below 3C-50 individuals, they appear to go extinct promptly or to rebound to sues an order of magnitude or more larger, and polymorphic loci tend to maintain the same predominant alleles in a p proximately the same frequencies through dramatic changes in population sue. Keywords: Glacier National Park, Euphydryas gillettii, genetics, metapopulation. Euphydryar gillettii, a northern Rocky Mountain endemic checkerspot buttedy, is distributed in small, widely separated patches, with apparently little migration between them (Holdren & Ehrlich, 1981). Further, its populations appear to be declining. Williams (1988) visited 29 localities in the Rocky Mountains where E. gillettii had been collected in the past and found extant populations in only 13. E. gillettii is also interesting because it is the only North American member of the Palaearctic species-group, the maturna. The taxonomic &ties and geography both suggest that the animal is an isolated relict (A. Shapiro, pers. wmm.). E. gillettii thus offers an excellent opportunity to study the genetics of a spatially fragmented relict popuIation. It is not so rare as to be considered threatened Life history of Euphydryas giUenii E. giUeftii is often found in populations of 30 adults or less. Its range includes western Wyoming, northwestern Montana, northeastern Idaho, and southwetern Alberta, and it has a fragmented distribution, in some cam with d i s t of ~ 3244 ~ km between populations. E. gillettiiis fragmented distribution can be partially explained by its *Resent addrss: Department of A n i Ecology, Iowa State University, Ames Iowa 50010, USA. 25 D. M. Debinski larval foodplant specificity. It lays its eggs solely on the black twinberry, Lonicera involucrata (Williams, 1988) family. This perennial shrub must be located in a wet, sunny area for the butterfly to find it suitable, often restricting E. gillettii to early successional habitats. Disturbances are an important factor contributing to E. gillettii habitat abundance. According to Williams (1988), fire is the single most important factor in creating its habitat, which may have been significantly reduced by extensive fire suppression in the Rocky Mountains prior to 1975. Encroachment by surrounding forests shades the Lonicera, making them unattractive to females, which always lay their eggs on sunny leaves. Other important disturbances include floods and the creation of forest openings by beavers Cmtorfiber and logging. Williams (1988) notes that some E. gillettii populations may fluctuate greatly in abundance from year to year. Such fluctuations can have a major impact on the genetics of the population because the effective population size (calculated as the harmonic mean) may be smaller than the arithmetic mean population size. There may also be certain high-elevation populations that are biennial because the warm season is too short for the larvae to mature in one summer. A major factor limiting the recolonization of sites may be the inability of dispersing individuals to reach a suitable habitat (Holdren & Ehrlich, 1981). Areas that appear perfectly habitable are never colonized by E. gillettii due to the insect's poor dispersal ability. The purpose of this study was to determine whether the observed inability to disperse actually translated into low heterozygosity levels or limited gene flow between populations. Questions related to genetic diversity assessment include: (1) What is the level of genetic diversity among gene pools within the park relative to the diversity among regions (Idaho, Wyoming, Montana)? Given the short dispersal distance of the organism (Holdren & Ehrlich, 1981) one would expect a high degree of differentiation between regions. (2) Are the Glacier National Park populations components of a larger metapopulation, or are there genetically distinct populations within the Glacier ecosystem? (3) What management decisions within or around the park might result in the merging or destruction of gene pools? METHODS lar to that developed by May et al. (1979) and is described in Debinski (1991). In 1989, I conducted a brief mark-recapture experiment to estimate population sizes at four of the colonies (Debinski, 1991). RESULTS Populations Five populations of E, gillettii (Christensen Meadow, near Kiowa, Blacktail Hills, Swiftcurrent, and McGee Meadow) were known to exist in the GNP ecosystem (S. Kohler, pers. cornm.). During the course of this research, previously known populations were located, and four new colonies were identified at Red Meadow Creek Road, Spot Mt, Elizabeth Lake, and Belly River. No E, gillettii were observed at McGee Meadow during 1987-1989, and only one eggmass was found at Swiftcurrent Lake in 1990 (surveyed 1989 and 1990). The Blacktail Hills site was not surveyed due to gnzzly bear activity; thus, E. gillettii's current status there is unknown. A short mark-recapture study in 1989 revealed a higher population size than Williams (1988) had estimated. My minimum population estimates were 142, 98, 56, and 28 individuals at Belly River, Marias Pass, Red Meadow, and Christensen Meadow, respectively. These data are based on two to four census dates per site. The low number of recaptures suggests that the true population size was much larger than that censused, or that the disturbance affected recapture rates. Genetic analysis Males of the species were collected from four sites in GNP during 1988 and 1989 as well as central Idaho and central Wyoming in 1989. The sample sizes were as follows: Christensen Meadow (17 in 1988), Belly River (23 in 1988, 9 in 1989), Red Meadow (25 in 1989), Marias Pass (21 in 1989), W Central Idaho (20 in 1989), W Central Wyoming (22 in 1989). 1988 results A total of 19 loci from two populations in GNP were surveyed electrophoretically (AAT-1,2; AGP, DIA- 1,2; GAPDH, GP, GPI, HBDH, IDH-1,2; LDH, MDH-1,2; PEP, PGD, SOD-1,2; and PGM; Table 1) and the computer program BIOSYS (Swofford & Selander, Table 1. Polymorphic loci of E. gillettii, Glacier National Park, Montana, 1988 Locus Alleles present - Four colonies were assayed within GNP and two outgroups, colonies from Idaho and Wyoming, were also compared with the GNP population for allelic uniqueness and heterozygosity. Because the entire metapopulation could not be surveyed, this subsample was chosen to reflect the greater metapopulation. Electrophoretic analysis was used to determine the level of heterozygosity at 24 presumptive enzyme loci (Debinski, 1991). A minimum of 17 individuals was assayed from each site. The methodology for starch gel electrophoresis is simi- Christensen Meadow IDH-2 PGD GPI MDH- 1 PGM DIA-2 AGP % polymorphic - Belly River Genetic diversity asses:rment of a butterfly Table 2. Contingency chi-square analysEoall loci 1988 Locus No. alleles 2 d.f. P AGP- 1 IDH-2 PGD- 1 GPI- 1 MDH- 1 DIA-2 PGM-1 Totals 1981) was used to analyze the data. Seven loci were found to be polymorphic in the Belly River population (AGP, IDH-2, PGD, GPI, MDH-1, PGM, and DIA2), while four loci were found polymorphic in the Christensen meadow population (PGD, MDH- 1, AGP and DIA-2). All polymorphic loci in the Christensen Meadow population were also polymorphic in the Belly River population. Belly River had a population mean heterozygosity of 0-084 with SE = 0.038 (unbiased estimate-Nei, 1978). The mean number of alleles per locus was 1.5 (SE = 0.17). Using a 0.95 allele frequency as a minimum for assuming heterozygosity (95% criterion), the percentage of the loci polymorphic was 20%. As compared to Belly River, Christensen Meadow had a mean heterozygosity of 0.079, SE = 0.037 (unbiased estimate-Nei, 1978). The mean number of alleles per locus was 1.25 (SE = 0.12), and the percentage of loci polymorphic was 20% by the 0.95 criterion. The summarized F statistics over all loci revealed inbreeding coefficients as follows: Fls = -0.125, FIT= 0.079, and FsT = 0.041. AGP, PGD, and MDH-1 exhibited significant differences in frequency between the Christensen Meadow and Belly River populations in 1988 (Table 2). The total chi-square was 26.505, with a corresponding probability of 0.00545, highly significant. Nei7s(1978) unbiased genetic identity between the two populations was 0.997. 1989 Results A total of 23 loci from Wyoming, Idaho, and Montana Table 3. Polymorphic loci of E. giUettu-1989 Locus IDH-2 PGD GPI MDH-1 PGM AGP MDH-2 MPI GK-2 % polymorphic Table 4. Observed heterozygosity at variable loci-1989 Alleles present Wyoming Idaho Red Marias n = 22 n = 20 Meadow Pass n=25 n=21 were analyzed. The Montana population, however, consisted of three separate subpopulations, Marias Pass (n = 21), Red Meadow (n = 25), and Belly River (n = 9), which were analyzed separately. The Idaho and Wyoming analyses were conducted using samples of 20 and 22 individuals respectively. Six of the 23 (26%) assayed loci were polymorphic in the Montana and Idaho populations, while Wyoming had five of 23 (22%) loci polymorphic. Allelic composition is shown in Table 3. The diversity of alleles at each locus was similar across the three populations. In several cases, a population could be distinguished by the presence or absence of certain alleles. For example, Wyoming had the A and B alleles for PGD, while Idaho had the B and C alleles. Montana populations only had the B allele. Similarly, Wyoming and Idaho had the C allele for MDH-2 and GK-2, but Montana's Red Meadow population had B and C. At the MPI locus the Idaho and Montana populations were similar, exhibiting the B and C alleles, while the Wyoming had both C and D alleles. PGM was polymorphic only in Idaho. At GPI, Wyoming and Idaho were most similar, exhibiting the B and C alleles, while Montana exhibited the C and D alleles. The same alleles were present in all three populations at the AGP and MDH-I loci. Genetic analyses revealed that the populations with higher allelic diversity exhibited higher polymorphism. Populations in Idaho, Wyoming, and Red Meadow had six, five, and six polymorphic loci respectively, compared to Marias Pass and Belly River's two. The level of heterozygosity was near 0.05 in the Idaho, Wyoming, and Red Meadow populations, while it was 0.030 and 0.035 for the Belly River and Marias Pass populations (Table 4). Belly River's low polymorphism estimate may not be as reliable as the others, however, because of small sample size (n = 9). The summarized F statistics over all loci revealed inbreeding coefficients as follows: FIs = 0-011, F, = 0.333, and F, = 0.325. Three chi-square analyses were conducted, one which included all populations in 1989, a second for the GNP 1989 populations only, and a third that compared Belly River populations in 1988 and 1989. Belly River n=9 Locus (4 Wyoming (22) Idaho (20) Belly River (9) Marias Red Pass Meadow (20) (25) PGD GPI MDH- 1 PGM AGP MDH-2 MPI GK-2 0.044 0.463 0.449 0400 0.172 0~000 0.139 0.000 0.095 0.049 0.180 0.145 0.180 0.000 0.480 0~000 n.a! 0.153 0.000 0~000 0~000 0.000 0.000 0.000 0.490 0.498 0,000 0.000 0.198 0.133 0.000 0.000 0.000 0.113 0.039 0.000 0.500 0.077 0.365 0.127 Mean H SE 0.056 0.029 0.050 0.024 0.030 0.023 0.053 0.026 " Not applicable. 0.035 0.024 D. M. Debinski Table 5. Contingency chi-square a n a l y L a l l loci, all populations 1989 Locus No. alleles ,$ d.f. 4 3 204.450 90.588 11.717 4.432 61.085 36.401 5.660 9.977 424.307 12 8 4 8 8 4 AGP- 1 MPI- 1 PGM-I PGD- I GPI-1 MDH-1 MDH-2 GK-2 Totals 2 3 3 2 2 2 4 4 52 P 0~00000 0.00000 0.01958 0.81621 0~00000 0~00000 0.22606 0@4081 0~00000 Table 5 shows significant differences among all 1989 populations at the following loci: AGP, MPI, PGM, GPI, MDH-1, and GK-2. The GNP populations are distinguished by significant variation at the MPI locus only (Table 6). Belly River populations differ significantly between years at loci AGP and IDH-2 (Table 7). Similarity and distance estimates were calculated using Rogers (1972) equations. Rogers' distance considers two populations with fixation for different alleles farther apart than ones where one or both are heteroallelic even though they have no common allele (Wright, 1978). Wyoming and Idaho populations cluster as the outliers and the Montana populations grouped together, as one would expect on the basis of geography (Fig. 1). DISCUSSION Colony numbers and distribution The results of the brief mark-recapture project showed higher population sizes than those reported by Williams (1988). More rigorous censusing and a search for new colony sites may prove the organism to be more common than historically noted. Since many of the historic colony sites are within easy access of roads, there undoubtedly could be many more colonies in remote areas that have not yet been discovered. Genetic diversity The electrophoretic analysis revealed that E. gillettii in GNP, Montana, may consist of two separate biennial populations. This hypothesis is supported by the major genetic differences between the Belly River 1988 and 1989 analysis. Chi-square analysis showed significant differences in allele frequencies at the AGP and IDH-2 Table 7. Contingency chi-square analysis-Belly River 1988 and 1989 Locus ,$ d.f. P 75.539 10 0.00000 No. alleles AGP- 1 IDH-2 PGM-1 PGD-1 GPI-1 MDH-I Totals loci between the two broods. The 1989 population had only two polymorphic loci, while the 1988 population had seven. Further, the C allele did not appear in the 1989 population at the AGP locus. This apparent difference may be a result of small sample sizes (n = 23 in 1988 while n = 9 in 1989); however, the results are so strikingly different that they probably result from more than simple sampling error. Calculations using 1988 allele frequencies to estimate those in 1989 revealed major differences between observed and expected results. Several alleles present in 1988 were not observed in 1989. The possibility of E. gillettics biennial nature is suggested in Scott (1986). A biennial life history could actually offer the species a longer expected persistence time, as the two populations may experience the environment in different ways. For example, during an extreme drought year, the population that is flying could become extinct. Presumably, the hibernating population would also be affected, but perhaps not as significantly. If the hibernating population is protected from a 'bad year', the species could persist as one population that flies every other year. This has been observed in Colorado populations of Boloria acronema (Brussard & Britten, 1989). Alternative explanations for the differences in gene frequencies between years include multi-year diapausers or the use of the Belly River habitat as a dispersal corridor. Both Pieris napi pupae and larvae of other Euphydryas, e.g. editha, are known to have multi-year diapausers (A. Shapiro, pers. comm.). It is possible that gillettii resembles many tundra species in having a flexible life history; rather than being strictly annual, bien.93 .95 .97 .99 Idaho Table 6. Contingency chi-square analysis--all loci, GNP 1989 Locus AGP- 1 MPI-1 PDG- 1 GPI-1 MDH-1 MDH-2 GK-2 Totals No. alleles ,$ d.f. Belly River, Montana P Marias Pass,Montana Red Meadow, Montana 2 2 2 Wyoming 2 2 .95 2 Genetic Similarity 2 .97 .99 Fig. 1. cluster analysis of Euphydryas gillettii populations using Rogers (1972) clustering algorithm for genetic analysis. Genetic diversity assessment of a butterfly nial, etc., it may be partly annual, biennial, triennial, etc. Finally, if Belly River is a dispersal corridor, yearto-year differences could reflect variations in sources rather than the coexistence of two populations. Because of differences in allele frequency, the 1988 and 1989 results could not be combined. In 1988, Belly River had almost twice the level of polymorphism (35%) as Christensen Meadow (22%), but similar levels of mean heterozygosity were found (Belly River = 0.084 and Christensen Meadow = 0.079). AGP, LDH-1, and GPI significantly differentiated the populations based upon chi-square results. The 1989 survey allowed for comparisons among three populations in GNP, as well as an inter-state comparison. Wyoming, Idaho, and Red Meadow, Montana had comparable levels of heterozygosity (0.056, 0.050, and 0.053 respectively). Montana's Marias Pass and Belly River populations had the lowest heterozygosity (0.035 and 0.030 respectively). The percentage of polymorphic loci was similarly distributed - Wyoming = 22%, Idaho = 26%, and Red Meadow, Montana = 26%, while Marias Pass and Belly River, Montana were both polymorphic at only 9% of the loci surveyed. However, small sample size hindered thorough analysis of the Belly River population. The chi-square analysis of Montana, Wyoming, and Idaho populations identified significant differences at six out of eight polymorphic loci. This is not surprising, given the fact that these populations are separated by hundreds of kilometres. When GNP 1989 populations were compared using the chi-square analysis, there were differences only at the MPI locus, but this difference was highly significant ( p = 0.00000). The C allele was predominant in Belly River and Marias Pass populations, but the B allele was predominant in the Red Meadow population. Within the park, spatial distribution of the population may be correlated with genetic diversity. For example, the long, narrow populations distributed over a few kilometers (e.g. Belly River and Red Meadow) exhibited a higher level of heterozygosity than the rectangular meadow populations that were less than 1 km on a side (e.g Christensen Meadow). The long, narrow populations are much larger than the meadow populations, but they may also be serving as dispersal corridors between source populations. F-statistics and genetic similarity Wright's inbreeding coefficients showed different results between years, but this may be expected due to the different scales of analyses. The 1988 FIs of GNP populations was negative (indicating higher outcrossing than random), and F, exhibited the highest value. In 1989, the interstate FIS was small but not negative, F, was highest, and F, was intermediate, but all values were larger than in 1988. F-statistics revealed that the two GNP subpopulations (1988 data) were more similar (F, = 0.041) than the 1989 sample of Montana, Wyoming, and Idaho populations (F, = 0.325). Using Wright's island model 29 (Hart1 & Clark, 1989), the actual number of migrants1 generation between populations is 5.80 for the 1988 GNP populations and 0.52 for the 1989 Montana, Idaho and Wyoming populations. This implies, as one would expect, that subpopulations between states are more isolated, or more structured, than those within GNP which appear panmictic given that the number of migrants is greater than one (Crow, 1986). Comparing populations in different states, Idaho and Montana are much more similar than either is to Wyoming. This is also to be expected given the fact that the Idaho and Montana populations are closer spatially. The Idaho site is closer to those in Montana (453 km) than Wyoming is to the Montana sites (485 km). There is also more continuous montane habitat connecting the Idaho and Montana sites relative to those in Wyoming and Montana. Moving south from GNP, there are breaks between Helena, Montana and the Beartooth Mts of Wyoming, whereas there are virtually no breaks from GNP to the Idaho site in the Sawtooth Mountains. Implications for management The level of heterozygosity within the park is comparable to the diversity within other regions. Heterozygosity and percent polymorphic loci were the same or slightly higher in Red Meadow, Montana relative to the Idaho and Wyoming populations. The PGD locus singled out Wyoming and Idaho by characteristic alleles found nowhere else. GPI, MDH-1, MDH-2, PGM, MPI, and GK-2 also were helpful in distinguishing among state populations, as some sampled Wyoming and Idaho populations were fixed for certain alleles at these loci. Gene pools within GNP were somewhat different but may be merged without adverse consequences. It appears that the genetic variation in some populations is a subset of the variation expressed in the others. In 1988, Christensen Meadow and Belly River were significantly different at AGP, MDH-1, and PGD based upon chi-square results. In 1989, Belly River and Marias Pass ranked high in similarity, but both were different in allelic composition relative to the Red Meadow population at GPI, MDH.1, MDH-2, MPI, and GK-2. Park management decisions are not likely to result in the merging of gene pools, as geographical distance is probably the largest separating factor given the low vagility of this butterfly. However, management decisions could lead to the destruction of gene pools. The butterfly's host-plant specificity, combined with the disturbance-loving nature of the host plant, suggests that maintenance of successional-stage habitats is imperative to the survival of E. gillettii. Management policies that prevent natural changes could deleteriously affect populations of this species. For example, the fue suppression policies of the last few decades may have been detrimental, as new openings were not created. Moose Alces alces grazing on Lonicera involucrata may also have an adverse effect on E. gillettii D. M. Debinski populations (E. H. Williams, pers. comm.). As successional changes occur, the species will face a continuous loss of habitat. Corridors are of major importance in the maintenance of the E. gillettii populations. E. gillettii moves primarily up and down streams connecting patches of good habitat; it does not use dry areas (E. H. Williams, pers. comm.). As such, maintenance of the larger metapopulation will be significantly influenced by changes in the character of the stream corridors. Given the results of the genetic analyses, it is unclear whether the park is large enough to support more than one viable gene pool over the long term. There are minor differences in genetic composition of populations within the park. However, dispersal distance is the critical factor in determining the true level of isolation between populations. Heterozygosity levels are higher than one would expect for populations of 30 individuals. This may indicate either a selective pressure favoring heterozygotes or dispersal among populations. Some of the smaller populations may be sink populations relative to the larger source populations (e.g. Pulliam, 1988). However, actual population sizes need to be estimated more rigorously, and dispersal distances need to be determined before this question can be answered. Given the potential rarity of E, gillettii compounded with its hypothesized biennial nature (Scott, 1986), continued population monitoring is critical. Genetic analysis is the only realistic way to distinguish between an annual and biennial population structure, but responsible collecting is critical given E. gillettii's small population sizes. E. gillettii is known to exhibit major fluctuations in population size, and its persistence in low numbers is not easily explained. A biennial population structure could explain the observed allelic differences, population size fluctuations, and its continued persistence. If this hypothesis is correct, the even-year populations should be much more similar to each other genetically than they are to the odd years. The most interesting aspect of this research relates to the species distribution as a whole. Given the apparently low dispersal ability of E. gillettii, the Montana, Idaho, and Wyoming populations are actually more similar than one would have expected. An historical analysis of landscape patterns including fire frequencies, corridors, and habitat patch distribution would be of interest in understanding the genetic and demographic structure of this population. CONCLUSIONS This research corroborates most of Williams' (1988) ideas, who has studied E. gillettii most extensively. Electrophoretic analyses revealed moderate levels of heterogeneity both within and between the colonies studied, and preliminary results suggest a potential biennial nature of the organism. However, the level of heterozygosity was higher than expected for population sizes of 100 or more. Heterozygotes may have a selective advantage in these populations. Using the Wyoming and Idaho populations for com- parison, the GNP, Montana population has an equivalent genetic diversity relative to other areas. Montana populations were more similar to Idaho than Wyoming, which makes sense geographically. Highest levels of polymorphism and mean heterozygosity were both found in 1988 Belly River, Montana, a population distributed along a riparian corridor. Two Montana populations (Belly River and Marias Pass) were genetically indistinguishable, while Red Meadow, Montana was slightly different. Dispersal remains the major unknown factor in determining genetic structure of E. gillettii populations. ACKNOWLEDGEMENTS This research was supported by the National Park Service at Glacier National Park, Montana. I would like to thank Peter Brussard, Art Shapiro, and Richard Gomulkiewicz for their comments on the manuscript. REFERENCES Brussard, P. F. & Britten, H. B. (1989). The status of the Uncompahgre fritillary Boloria acronema: final report. U.S. Forest Service (Cebolla District) Technical Report. Crow, J . F . (1986). Basic concepts in population, quantitative, and evolutionary genetics. W . H. Freeman & Co., New York. Debinski, D. M. (1991). Inventory and monitoring of biodiversity: an assessment of methods and a case study of Glacier National Park, MT. PhD dissertation, Montana State University, Bozeman, MT. Ehrlich, P. R. (1983). Genetics and extinction of butterfly populations. In Genetics and conservation--a reference for managing wild animal populations, ed. C. M. SchonewaldCox, S. M. Chambers, B. MacBryde & L. Thomas. Benjamin Cummings Publishing Co., Menlo Park, CA, pp. 152-63. Ehrlich, P. R. & Murphy, D. D. (1987). Conservation lessons from long-term studies of checkerspot butterflies. Conserv. Biol., 1, 122-31. Gilpin, M. E. & Soult, M. E. (1986). Minimum viable populations: the processes of species extinction. In Conservation biology: the science of scarcity and diversity, ed. M. E. SoulC. Sinauer Associates, Sunderland, Massachusetts, pp. 13-34. Hartl, D. L. & Clark, A. G. (1989). Principles of population genetics. Sinauer Associates, Sunderland, Massachusetts. Holdren, C. E. & Ehrlich, P. R. (1981). Long range dispersal in checkerspot butterflies: transplant experiments with E. gillettii. Oecologia, Berl., 50, 125-9. Lande, R. & Barrowclough, G. R. (1987). Effective population size and genetic variation. In Viable populations for conservation, ed. M. E. SoulC. Cambridge University Press, Cambridge, pp. 87-123. Levins, R. (1970). Extinction. In Some mathematical questions in biology, ed. M. Gerstenhaber. American Mathematical Society, Providence, Rhode Island, pp. 75-108. May, B., Wright, J. E. & Stoneking, M. (1979). Joint segregation of biochemical loci in Salmonidae: results from experiments with Salvinus and a review of the literature of other species. J. Fish. Res. Bd. Can., 36, 111428. Nei, M. (1978). Estimation of average heterozygosity and genetic distance from a small number of individuals. Genetics, 89, 583-90. Pulliam, R. (1988). Sources, sinks and population regulation. Amer. Nut., 132, 652-61. Rogers, J. S. (1972). Measurements of genetic similarity and Genetic diversity assessment of a butterfly genetic distance. Studies in Genetics. Univ. Texas Publs, No. 7213, 14553. Scott, James A. (1986). The butterflies of North America-+ natural hbtory and Jield guide. Stanford University Press, Stanford, CA. Swofford, D. L. & Selander, R. B. (1981). BIOSYS-1: A fortran program for the comprehensive analysis of electrophoretic data in population genetics and evolution. J. Hered., 72, 281-3. Williams, E. H. (1988). Habitat and range of E. gillettii (Nymphalidae). J. Lepid. Soc., 42, 3745. Wright, S. (1978). Evolution and the genetics of populations, Vol. 4. Variability within and among natural populations. University of Chicago Press, Chicago, Illinois.