Management and Conservation Article Argali Abundance in the Afghan Pamir Using Capture–Recapture Modeling From Fecal DNA RICHARD B. HARRIS,1 Department of Ecosystem and Conservation Science, University of Montana, Missoula, MT 59812, USA JOHN WINNIE, JR.,2 Department of Ecosystem and Conservation Science, University of Montana, Missoula, MT 59812, USA STEPHEN J. AMISH, Department of Biological Sciences, University of Montana, Missoula, MT 59812, USA ALBANO BEJA-PEREIRA, Centro de Investigação em Biodiversidade e Recursos Genéticos, Universidade do Porto, Campus Agrário de Vairão, 4485-661 Vairão, Portugal RAQUEL GODINHO, Centro de Investigação em Biodiversidade e Recursos Genéticos, Universidade do Porto, Campus Agrário de Vairão, 4485-661 Vairão, Portugal VÂNIA COSTA, Centro de Investigação em Biodiversidade e Recursos Genéticos, Universidade do Porto, Campus Agrário de Vairão, 4485-661 Vairão, Portugal GORDON LUIKART,3 Department of Biological Sciences, University of Montana, Missoula, MT 59812, USA, and Centro de Investigação em Biodiversidade e Recursos Genéticos, Universidade do Porto, Campus Agrário de Vairão, 4485-661 Vairão, Portugal ABSTRACT Estimating population size in a mark–recapture framework using DNA obtained from remotely collected genetic samples (e.g., feces) has become common in recent years but rarely has been used for ungulates. Using DNA extracted from fecal pellets, we estimated the size of an argali (Ovis ammon) population that was believed to be isolated from others within the Big Pamir Mountains, Afghanistan, an area where access was difficult and expensive. We used closed-capture models to estimate abundance, and Pradel models to examine closure assumptions, both as implemented in Program MARK. We also made visual counts of argali in the Big Pamirs, allowing comparison of count indices of abundance with modeled estimates. Our model-averaged estimate for female argali in the Big Pamir was 172 (95% CI 5 117–232), which was about 23% higher than our best assessment using uncorrected visual counts. However, mark–recapture models suggested that males were not a closed population; thus, we were unable to provide a meaningful estimate of overall population size. Males either suffered much higher mortality than females during the sampling period, or, more likely, males moved in and out of the Big Pamir area. Although information from DNA did not provide a clear overall population estimate, it suggested that the Big Pamir was not isolated from other argali populations, which could not have been confirmed with visual observations alone. Estimating argali population size using mark–recapture models and fecal DNA is feasible but may be too expensive for frequent monitoring of large and remote populations. Our study demonstrates the importance of sex identification and separate abundance estimation for each sex, especially if movement ecology differs by sex. KEY WORDS abundance estimate, Afghanistan, argali, fecal samples, mark–recapture, noninvasive sampling, Ovis ammon. Estimating population size using well-established statistical techniques that deal with imperfect detectability is generally considered preferable to uncorrected counts (Anderson 2001, Williams et al. 2002, White 2005). Yet for many wide-ranging ungulate species, particularly those inhabiting remote, mountainous habitats, uncorrected index counts remain the staple (e.g., Magomedov et al. 2003, Harris and Loggers 2004, Schaller and Kang 2008). The 2 most common classes of models to deal with imperfect detect- ability are distance sampling, and physically marking animals and later recapturing or resighting them (capture– mark–recapture [CMR]). For mountain ungulates, both distance sampling and CMR are logistically difficult to apply without gross violations of crucial assumptions, very small samples sizes, or both. Although having an estimate of abundance is not necessarily as important as having a measure of population trend or an understanding of the important covariates of population vigor, there are circum- stances in which simply having a population estimate is important (sensu Caughley 1977). Conservation and management options for small or isolated populations often depend on knowing the approximate population size, particularly when these populations are of interest to legal or illegal hunters. The argali (Ovis ammon) is the epitome of a species for which obtaining a population estimate, as differentiated from an abundance index, remains a largely unresolved challenge. Counts of individual argali are more easily obtained than for many other species, so visual counts have usually been the basis of abundance assessments. However, argali are also capable of long-distance movements and usually move away from observers at distances far in excess of those that allow individual recognition. Argali are group-living ungulates, but group size and composition are usually fluid, with individuals often leaving or joining groups daily (Schaller 1998, Fedosenko and Blank 2005, Harris 2007). With the exception of a few distinctive older rams or occasional animals with deformities or distinctive markings, argali within broad age and sex classes look alike. This, together with the difficulty of approaching argali, makes identification of individuals by direct observation subject to great uncertainty. Thus, although argali are easy to count, interpreting these counts as population sizes is fraught with error: some animals go undetected in any survey (thus biasing 1 E-mail: rharris@montana.com 2 Present address: Ecology Department, Montana State University, Bozeman, MT 59715, USA 3 Present address: Flathead Lake Biological Station, University of Montana, Polson, MT 59860, USA Journal of Wildlife Management 74(4):668–677; 2010; DOI: 10.2193/2009-292 668 The Journal of Wildlife Management N 74(4) counts low), whereas argali roaming behavior may cause duplicate counts of individuals (thus biasing counts high). Estimating abundance with CMR models using DNA microsatellites for individual identification has attracted interest in recent years (Lukacs and Burnham 2005a). Using DNA is attractive because it can often be obtained without physically handling individual animals (Taberlet et al. 1999). Advances in field study design (Boulanger et al. 2004, 2008) and the ability of models to account for both field and laboratory limitations (Lukacs and Burnham 2005b, Petit and Valiere 2006, Lukacs et al. 2007, Knapp et al. 2009) continue to be made. The use of CMR with remotely collected samples (sensu Garshelis 2006) to estimate abundance has become common among some taxa but remains uncommon for others. Bears (Ursus spp.) pose particular problems to investigators interested in abundance, but bears can easily be induced to provide hair samples, so DNA-based CMR has become a standard part of bear biologists’ tool kit (e.g., Bellemain et al. 2005, Solberg et al. 2006, Kendall et al. 2008). Most other uses of DNA-based CMR have been for other carnivores, including canids (Creel et al. 2003, Prugh et al. 2005), felids (Perez et al. 2006, Ruell et al. 2009), and mustelids (Wilson et al. 2003, Mulders et al. 2007, Williams et al. 2009). In theory, remotely based CMR estimation could be used for any species (e.g., raptors, primates; Rudnick et al. 2008, Guschanski et al. 2009), but its use for free-ranging artiodactyls has thus far been uncommon (but see Fickel and Hohmann 2006, Valiere et al. 2006). As part of a broader study of the conservation status of argali in the Islamic Republic of Afghanistan, our objectives were to estimate abundance of argali (O. ammon polii, ‘‘Marco Polo sheep’’) in a portion of the Wakhan District within Badakhshan Province locally termed Big Pamir. The Big Pamir was historically reserved as a hunting area for King Zahir of Afghanistan and during the late 1960s and 1970s was named the Pamir-i-Buzurg (Big Pamir) Wildlife Reserve and operated by the Afghan Tourist Organization (Petocz 1973, 1978). Based on previous surveys and anecdotal information, we suspected that argali in the Big Pamir range had declined considerably from their abundance during the 1970s and that argali were largely isolated (Petocz 1973, Petocz et al. 1978; G. B. Schaller, Wildlife Conservation Society, unpub- lished report). There were no recent reports of argali inhabiting areas to the south of the Big Pamir (either within Afghanistan’s Wakhan District or in the Hindu Kush range forming the border with Pakistan) or elsewhere to the west within Badakhshan Province (Habibi 1997, Fitzherbert and Mishra 2003). Similarly, reports suggested only occasional individual sightings of argali to the east of the Big Pamir to approximately 37u209N, 74u209E, where a larger, seemingly more robust population was known to inhabit the Little Pamir Mountains some 120 km away (G. B. Schaller, unpublished report; B. Habib, Wildlife Conservation Society, unpublished report). It was unknown whether argali in the Big Pamir were demographically or genetically linked with animals to the north of the Panj (Amu Darya) River in Tajikistan. STUDY AREA The Wakhan Corridor was a 15–68-km-wide section of Afghanistan extending southwest to northeast in the far northeast of the country (Fig. 1). Bordered on the north by Tajikistan, China on the east, and Pakistan to the south, the region geographically termed the Pamir Knot, formed by the confluence of the Pamir, Hindu Kush, and Karakoram mountain ranges, was characterized by high, broad valleys (pamirs) bordered by steep, rugged mountains. The approximately 1,600-km2 Big Pamir study area (Fig. 1) was located roughly at the midpoint of the Wakhan Corridor and bordered Tajikistan to the north. Valleys bordered by high ridges ascend from the Panj River (which downstream is called the Amu Darya) in the northwest (approx. 3,000 m) to the crest of the Big Pamir range that rises to .6,400 m to the southeast. At their lowest, near the Panj River, the mountains and ridges are generally rounded, punctuated by heavily eroded, steep gullies. To the south- east, at higher elevations, the terrain is rugged and steep, with occasional small lakes and ponds in the upper valleys and numerous glaciers and permanent snowfields on higher mountain slopes and peaks. South- and southwest-facing slopes were dominated by sparse grass (primarily Agrostis, Poa, Festuca, and Agropyron spp.), and sage (Artemisia spp.) communities, with sedge (Carex and Kobresia spp.) meadows in wetter sites (D. Bedunah, University of Montana, unpublished data). North- and northeast-facing slopes were similar but tended to be wetter and contained more extensive areas of sedge meadows. Except for occasional, small sedge meadows at wet sites, there was little vegetation above 4,900 m, and we did not see argali at elevations .5,000 m. Weather data for the study area are scarce, but the Library of Congress Country Studies reported that the Wakhan Corridor received ,100 mm of rainfall annually and classified the area as arid to semi-arid. This assessment accords with our experiences in the field: rain was rare, brief, and light, from spring through fall, and snows were light, rarely accumulating to depths .15 cm in the winter. The Big Pamir was used extensively by Wakhi livestock herders, primarily from late spring to early fall, although one herding operation remained year-round, high in the Aba Khan valley near the northeast boundary of the study area. Domestic sheep and goats were typically grazed in the mid- to lower elevations (3,000 m to 4,000 m), whereas cattle and yaks were grazed near the heads of the valleys, often to elevations in excess of 4,850 m. METHODS Field Procedures We conducted field work (visual counts and fecal sampling) in 4 discrete sessions: 24 June–13 July 2007 (summer 2007), 13 November–8 December 2007 (autumn 2007), 15 January–8 February 2008 (winter 2008), and 17 May–10 July 2008 (summer 2008). Long intervals between sampling sessions were not ideal for CMR estimation; however, they were necessitated by logistical constraints and other research Harris et al. N Argali Abundance in the Afghan Pamir 669 objectives. We conducted field work on foot, horseback, or yak-back. Because argali moved frequently through difficult terrain and our own movements were circumscribed by the valley systems separated by steep ridges, we made no attempt to impose a standardized geographic sampling regime. Instead, we attempted to survey for argali within all major drainages of the Big Pamir during each field session, generally walking to high vantage points to search for animals during the early morning and late afternoon. We adopted a noninvasive approach to CMR estimation, using DNA extracted from fecal samples as individual marks. We collected 3 fecal pellets from each pellet group when we encountered fecal pellets we were reasonably certain were freshly deposited by argali. We only collected pellets adjacent to each other within the group, reducing to inconsequential the probability of a sample containing DNA from .1 argali. We avoided collecting from pellet groups scattered over more than approximately 0.1 m 2 or that appeared to have been deposited while the animal was moving. Low quality samples with malformed or broken pellets were not extracted. We did not sample fecal pellets that appeared to have been produced by lambs of the year; thus, our abundance estimates from DNA-based CMR modeling apply to animals L 1 year of age. We took Global Positioning System (GPS) locations for each sample, unless samples were within approximately 3 m of an existing GPS fix, in which case we recorded the same location, and noted the date, time, and name of the collector. We stored fecal pellets in sterile 30-cm centrifuge tubes with securely fitting screw-tops to which sporks (plastic, ovoid-shaped protuber- ances with fork-like tines attached to the inside of the cap) were attached, allowing individual handling of each sample without risk of contamination (Evergreen Scientific, Los Angeles, CA). We added approximately 4 parts 95% ethanol for each part fecal material. We counted observed argali and attempted to assess whether animals were unique from others previously observed during that session. When possible, we classified animals as adult females (age L 2 yr), lambs (either sex), yearlings (either sex), and adult males (age L 2 yr). We made these counts while collecting fecal samples as well as while making observations related to assessing argali Figure 1. Afghanistan, showing the location of the Wakhan District in northeast part of the country, separating Tajikistan (to the north) from Pakistan (to the south). Inset: Wakhan District, showing relative locations of the Big Pamir and Little Pamir ranges and Waghjir Valley. Arrow identifies the Big Pamir study area, where we studied argali, summer 2007 to summer 2008, roughly corresponding with the boundary (light outline) of the former Pamir-i-Buzurg Wildlife Reserve. 670 The Journal of Wildlife Management N 74(4) productivity, habitat use, and responses to disturbance. Because we had no way to quantify the uncertainty surrounding duplicate counts arising from movements and the formation of new and dissolution of existing groups, we developed upper and lower bounds to the number of argali we observed in each session. For the upper bound, we deleted only observations of animals that we observed temporally and geographically so closely to other observa- tions of the same sex and age class that we felt certain they represented identical individuals; we counted all other observations. For the lower bound, we deleted observations that could plausibly have resulted from movements of previously recorded animals. Neither index accounted for animals we did not visually observe during the session. Genotyping Genetic work was conducted in 2 laboratories. We conducted initial work at Centro de Testagem Molecular (CTM/CIBIO), Portugal, where we extracted DNA from fecal samples using the DNeasyTM Blood Kit (Qiagen, Valencia, CA) modified to include an initial wash of one fecal pellet for 15 minutes in 350 mL of lysis buffer (0.1 M Tris-HCl, 0.1 M EDTA, 0.01 M NaCl, 1% N-lauroyl sarcosine, pH 7.5). We used approximately 200 mL of the lysis buffer directly in the extraction protocol as if the sample were blood (as in Maudet et al. 2004). At CTM, we co-amplified 8 microsatellite DNA markers in 3 multiplex polymerase chain reaction (PCR) amplifica- tions (MP1: MAF33, ADC; MP2: MAF36, FCB266, and FCB304; MP3: GLYCAM, KRT2, and LIF) using the QIA multiplex mix (Qiagen). We performed amplifications on a MJR DYAD PTC220 DNA Thermal Cycler following QIA mix protocol for 40 cycles at 3 annealing temperatures (54u C, 62u C, and 57u C for MP1, MP2, and MP3, respectively). Total reaction volume was 10 mL, including 5 mL of the Qiagen PCR Master Mix, 1 mL of primer mix, and 2 mL of DNA. We accomplished reactions with 3 primers for each locus, following the M13-tailed primer method (Oetting et al. 1995). Fluorescently labeled DNA fragments were visualized on an ABI3130xl DNA analyzer (Applied Biosystems, Foster City, CA) and chromatograms were analyzed using GeneMapper 4.0 software (Applied Biosystems) by 2 independent experts at scoring micro- satellite profiles. We initially screened all samples twice with MP1 to quantify the quality of nuclear DNA. We selected samples that showed reliable amplifications and matching genotypes to continue the genotyping process. We inde- pendently regenotyped selected samples 3 to 4 times. We conducted the remaining lab work and genetic analysis at the University of Montana Conservation Genetics Laboratory, Missoula, Montana, USA. We repeated 3 markers initially run in Portugal as a data quality check, and we screened 7 additional microsatellite loci, plus the amelogenin sex identification locus (Pidancier et al. 2006). We optimized a multiplex and one PCR and performed 10- mL reactions on MJR PTC200 thermocyclers using touch- down profiles. Each reaction contained 2.5 mL of template DNA, 4.5 mL of QIA multiplex mix (Qiagen), and either 1 mL of 103 primer mix, or 1 mL of 2 pM forward and reverse primers. We used 2 touch-down profiles with 35 cycles, one with an initial annealing temperature of 63u C stepping down to 58u C and another starting at 58u C and stepping down to 53u C. We visualized fluorescently labeled DNA fragments on an ABI 3130xl automated capillary sequencer (Applied Biosystems) in the Murdock DNA Sequencing Facility at the University of Montana. We determined allele sizes using the ABI GS600LIZ ladder (Applied Biosystems). Chromatograms were viewed and analyzed using GeneMapper software v3.7 (Applied Bio- systems) by 2 independent researchers. We determined sex by PCR amplification of the amelogenin gene as in Pidancier et al. (2006). We obtained 2 PCR products (approx. 315 base pairs [bp] and approx. 359 bp) for males but only the longer product for females. We based consensus genotypes on multiple sample runs and the following rules: 1) for a sample to be heterozygous at a locus we had to observe both alleles twice and 2) for a sample to be homozygous, we had to observe the allele 3 times. We randomly chose 10% of samples for re-extraction and repeat genotyping to monitor for errors; we detected no genotype differences or errors. Due to the large size of fragments at the amelogenin locus, we determined con- sensus genotypes as above with the following changes: we provisionally accepted heterozygotes (M) if we observed a male band only once; we classified homozygotes where we observed only the female band ,3 times (e.g., of 3 independent PCRs) as of unknown sex, and we accepted as males genotypes where we observed only the male band L 3 times. We ran principal correspondent analysis (PCoA) and multilocus genotype matching in GENALEX (Peakall and Smouse 2006) to identify outliers due to potential tube mishandling (in the lab or field), genotyping errors, or non- argali samples and to identify recaptures. We computed amplification success rate, false allele rate, and allelic drop- out rate as in Luikart et al. (2008). We found loci contributing significantly more unique individuals than expected with DROPOUT (McKelvey and Schwartz 2005). We estimated expected heterozygosity, tested for gametic (linkage) disequilibrium, and assessed departures from Hardy–Weinberg proportions (using exact tests and a Markov chain) as implemented in GENEPOP 3.4 (Ray- mond and Rousset 1995). We computed the probability that randomly drawn, unrelated individuals would have identical genotypes (probability of identity [PID]) with Api-Calc (Ayres and Overall 2004). Estimation of Abundance We used closed capture modeling in Program MARK to estimate population size, selecting among plausible models of capture variation. Except for one reference model, we assumed throughout that recapture probability would not differ from probability of initial capture (i.e., c 5 p) because we could envision no situation in which our sampling activity would affect probability of subsequent capture (i.e., we included no models that allowed for a behavioral Harris et al. N Argali Abundance in the Afghan Pamir 671 response to initial capture). We examined models in which capture probability varied by sex and by session. We also examined a reduced model in which we classified sessions into low and high capture effort (sessions 1 and 3 were low effort and sessions 2 and 4 were high effort according to total no. of samples collected in each session, see below). Because we occasionally obtained recaptures within our defined capture sessions, we also estimated abundance in a session-free context using Program CAPWIRE (Miller et al. 2005). Program CAPWIRE uses a continuous sampling approach and thus potentially can make use of recaptures occurring within a given capture session. To examine the assumptions of geographic and demo- graphic population closure (which, under our sampling design, were confounded and could not be distinguished), we examined the fit of a series of Pradel models (Pradel 1996) to the same data. In addition to unconstrained Pradel models (for open populations), we systematically con- strained each model by fixing the apparent survival term (Q) to one (thus closing the population to subtractions) and the recruitment term ( f ) to zero (thus closing the population to additions). Our interest was not in either of these demographic terms (or in the derived parameter, the finite per capita rate of increase, l), but rather in the relative fit of models with differing closure assumptions to our data. We used both Akaike’s Information Criterion corrected for small sample size (AICc) and likelihood ratio tests to examine the weight of evidence for closure (Cooch and White 2006). RESULTS Visual counts of argali varied, depending on the amount of time we spent in the field, habitats used by the animals, weather conditions, and our level of uncertainty in judging observations to be duplicates of animals previously tallied. Our counts of yearlings were not always reliable, depending on the distance between the animals and observer. Counts of adult females (Table 1) varied from as few as 40 in summer 2007 (with all possible duplicates removed) to as many as 179 in summer 2008 (allowing for some possibility of duplication). Counts of adult males varied from as few as 21 (in autumn 2007) to as many as 82 (in summer 2008). We typically were unable to classify 15–20% of animals we observed (Table 1). We knew of no way to objectively extract one best estimate from these data. However, assuming rough closure among females, taking the lower bounds of the autumn 2007 and summer 2008 counts as only slightly conservative, and adding half the number of yearlings (assuming a 50:50 sex ratio) from these time periods, our direct observations suggested about 140 females aged L 1 year present in the Big Pamir during 2007–2008. Fecal Sampling, DNA Extraction, and Genotyping We collected 392 fecal samples (61 in summer 2007, 134 in autumn 2007, 62 in winter 2008, and 135 in summer 2008) we judged to be freshly deposited by argali, of which 249 samples yielded consensus genotypes at L 6 of 12 loci. Amplification success was relatively low (85%), but false allele (1%) and allelic drop-out (5%) rates were also relatively low (Luikart et al. 2008). To improve precision, we dropped 2 problematic loci (ADC, LIF) and required remaining samples to share L 6 of 10 loci in common. We dropped LIF because .20% of consensus genotypes were missing data at this locus. We removed ADC from the analysis because DROPOUT found it identified significantly (P , 0.05) more unique individuals than expected. These measures to improve precision reduced our genetic sample size to 232 consensus genotypes. Genotyping success was higher in winter than other seasons (although handling and storage differences may also have influenced genotyping success). We identified 32 multilocus genotypes from 61 samples analyzed (52%), 53 genotypes from 134 samples (43%), 45 genotypes from 62 samples (73%), and 33 genotypes from 68 samples (49%) in summer 2007, autumn 2007, winter 2008, and summer 2008, respectively. We identified 147 unique genotypes from these 232 consensus genotypes. We removed 4 outlier individuals identified by PCoA because they were closely related to samples collected in Tajikistan from urials (Ovis orientalis). Of the remaining 143 genotypes, we could not reliably classify 12 to sex based on the amelogenin sex identification locus. For 7 of these 12, however, our field knowledge of the fecal pellets in question was sufficient to assign a sex (i.e., only one sex known to be in the vicinity of the specific area within a few days of the collection), leaving 5 for which we Table 1. Number of argali, classified by sex and age, that we visually observed during each session, Big Pamir Mountain Range, Afghanistan, summer 2007 through summer 2008. Upper row in each case represents a conservative estimate of the number of unique animals seen, removing groups from the cumulative total when duplication was a possibility, and may be underestimates; lower row in each case represents the maximum number of unique animals we observed, removing only certain duplicate observations, and thus are most likely overestimates. Counts during winter 2008 were conducted by a field assistant who did not provide sufficient details to derive lower and upper bounds and thus are not reported here. Sampling period Type of estimate Argali classification Ad F Yearlings Lambs Ad M Unclassified Total Summer 2007 Lower bound 40 31 4 34 9 118 Upper bound 69 54 8 67 12 210 Autumn 2007 Lower bound 110 28 5 21 15 179 Upper bound 113 31 5 21 15 185 Summer 2008 Lower bound 106 45 11 73 20 255 Upper bound 179 77 24 82 27 389 672 The Journal of Wildlife Management N 74(4) could not determine sex. Our raw data for all subsequent CMR analysis (and min. population sizes) thus consisted of 138 uniquely identified argali (82 F, 56 M). Of the 138 sex- identified consensus genotypes, none were mismatched by one allele, one pair was mismatched by one allele at 2 loci, and one pair was mismatched by one allele at 4 loci. Heterozygosity was high (mean expected heterozygosity 5 0.74; range 5 0.52–0.85 among loci), as was the number of alleles per locus (x̄ 5 9.5, range 5 6–16). Probability that 2 randomly selected, unrelated individuals would have iden- tical genotypes (PID) was low (4.5 3 10211 for 10 loci, 1.1 3 1026 for 6 loci), as was probability of randomly selected siblings having identical genotypes (1.1 3 1024, 4.4 3 1023 for 10 and 6 loci, respectively). Marker FCB226 deviated from Hardy–Weinberg proportions (FIS 5 0.388, P , 0.001), probably due to a null allele. One pair of loci revealed gametic disequilibrium (MAF48 and FCB304, P , 0.01). Abundance Estimation We tallied 163 captures (including recaptures but excluding intrasession recaptures, see below) of the 138 individually identified argali, which formed the basis of closed-capture estimation. Recaptures among the 4 sessions were uncom- mon. We captured 63 of the 82 identified females only once, we recaptured 18 once (i.e., captured them twice), and recaptured one twice. Of the 56 identified males, we recaptured only 3 animals after initial identification (we recaptured 1 animal once and 2 animals twice, Table 2). In addition, we tallied 30 intrasession recaptures that did not contribute to estimates using Program MARK: 1 in summer 2007, 10 in autumn 2007, 8 in winter 2008, and 11 in summer 2008. The top ranked closed-capture model of population abundance allowed capture probability to vary by both sex and session (Table 3). The second ranked model was similar, with session categorized by effort. Other models enjoyed less support. Model averaging produced a point estimate of 172.4 female argali, with a 95% confidence interval of 112.81–231.95 (CI coverage/estimate 5 0.69). Approximately 8% of total variance was attributed to model uncertainty. The same procedures produced a model- averaged point estimate of 248.6 male argali (95% CI 5 49.5–447.8). We suspected this estimate for males was positively biased because 1) we never visually observed more males than females in the Big Pamir study area during any sampling session, 2) our molecular analyses identified more females than males, and 3) although as yet unstudied for argali, males of similar species generally have lower survival than females, suggesting that females should outnumber males, at least among adults (Toı̈go and Gaillard 2003). Thus, we conducted post hoc Pradel modeling to investigate closure. Pradel modeling with various assumptions regarding closure did not result in an unambiguous signal but generally supported the hypothesis that females could be acceptably modeled in a closed-population framework but males could not. In most comparisons, models with Q, f, or both constrained for males (i.e., no additions or subtractions for M) ranked lower than corresponding unconstrained models (Table 4; with models ranked by deviance rather than AICc, because constrained models will tend to have lower AICc due to having fewer parameters, independent of model fit). Likelihood ratio tests comparing constrained with uncon- strained models for males were not significant, but these tests are known to lack power, particularly when the number of sessions is low (e.g., only 4 in our case) and capture heterogeneity is present. Model comparisons provided little evidence to reject the hypothesis that females were a closed population during the time period, although the weakness of our tests must be kept in mind. Table 2. Captures and recaptures of identified argali during the 4 sessions, Big Pamir, Afghanistan, 2007–2008 (excluding recaptures within sessions). Sessions are 1: Summer 2007, 2: Autumn 2007, 3: Winter 2008, 4: Summer 2008. The last column also includes one male captured in sessions 1, 2, and 3; and one male and one female captured during sessions 1, 2, and 4. Session Sex Initial capture Recaptured in session Total captured during session2 3 4 1 F 9 5 5 1 20 M 9 2 1 0 12 2 F 22 0 3 3 29 M 22 0 0 0 24 3 F 26 0 0 2 36 M 7 0 0 0 9 4 F 10 0 0 0 17 M 15 0 0 0 16 Table 3. Top ranked candidate models of probability of capture (p) of female argali in the Big Pamir Mountains, Afghanistan, 2007–2008, based on Akaike’s Information Criterion (AICc), model weights (wi), number of parameters (K ), deviance, and their point estimates of the number of females and standard errors. Estimates of male abundance are not included in this table. Modela DAICc wi K Deviance Point estimate F SE p 5 c + (g + s) 0.00 0.776 10 37.85 170.17 28.87 p 5 c + (g + effort) 3.12 0.163 6 49.22 174.24 29.92 p 5 c + (g) 6.58 0.029 4 56.76 174.74 30.05 p 5 c + (s) 7.17 0.022 6 53.28 213.35 36.79 p 5 c + (.) 9.41 0.007 3 61.62 216.46 37.51 p 5 c (effort) 10.88 0.003 4 61.06 216.25 37.46 Weighted average 172.38 95% CI 112.81–231.95 a Abbreviations: c 5 probability of recapture, g 5 sex, s 5 session (capture occasion), effort 5 occasions grouped by similar numbers of fecal pellets collected, (.) 5 constant. Harris et al. N Argali Abundance in the Afghan Pamir 673 In CAPWIRE, equal catchability models were always more preferred (using likelihood ratio tests) over the 2 innate rates (i.e., mixture) models. Including all recaptures (regardless of session or distance from other captures, n 5 117 captures) resulted in an estimate of 153 female argali (95% CI 5 120–202; CI coverage/estimate 5 0.54), lower than the model averaged estimate using closed captures in Program MARK, but with a narrower confidence interval. However, we noted that the spatial distribution of within- session recaptures differed significantly (Kolmogorov–Smir- nov 2-sample test of equality, P , 0.001) from that of between-session recaptures (Fig. 2). In fact, 19 of 30 within-session recaptures occurred when sampling from groups of argali that had been bedded at one site (and thus assigned an identical location). We considered that recaptures obtained under such circumstances violated the independence assumption underlying all continuous time models that we know of, and we thus rejected this estimate as having false precision. Removing within-session recap- tures that had identical locations (i.e., were not indepen- dent) and rerunning Program CAPWIRE resulted in an estimate of 208 female argali (95% CI 5 148–299; CI coverage/estimate 5 0.73), higher than suggested by our closed-capture models. Because our exploration of closure using Pradel models suggested that males were not a closed population, we made no attempt to estimate male abundance using CAPWIRE. DISCUSSION Although argali are not difficult to count through direct ground-based observations, interpreting surveys based on count tallies is fraught with difficulty. Beyond the well- explored issue that not all animals will be detected, argali move more quickly than ground-based observers, who must therefore deal with the possibility of tallying the same individuals multiple times. Capture–mark–recapture estima- tion, using DNA obtained from fecal samples, offers a potential solution to these problems. Our closed-capture abundance point estimate for females (N̂ 5 172, 95% CI 5 113–232) was about 23% higher than our best interpolation of our series of visual counts and considerably higher than most counts obtained during individual field sessions. More importantly, our estimate was based on models we under- stood and assumptions we could articulate. Equally importantly, our exploration of closure assump- tions provided evidence that male abundance varied among time periods. Our closed capture models thus overestimated the number of males within the sample area, but we lacked information with which to identify a superpopulation to which the estimate might apply (Kendall 1999). We hypothesize that most variation in male abundance was due to movements in and out of the Big Pamir area rather than mortality. Undetected poaching and natural mortality no doubt occurred during the study, and one would expect mortality rates of males to exceed those of females. Our data, however, gave us no indication that mortality was substantially greater among males than females. We observed directly (Table 1) and captured (Table 4) more males in summer 2008 than in summer 2007, contrary to what we would expect if males were declining throughout the time period. Shortly after our summer 2007 session (and prior to our autumn 2007 session in which we tallied few M), B. Habib and Z. Moheb of our survey team observed 106–191 male argali (depending on assumptions about duplicate counts) but no females, during a week in the Waghjir Valley, about 130 km southeast of the Big Pamir. We can reasonably assume that argali males, unencumbered Table 4. Support for Pradel open population models of argali population abundance in the Big Pamir Mountains, Afghanistan, 2007–2008, with selected parameters constrained to produce closed or partially closed models. Fully closed models have apparent survival (Q) constrained to 1.0 (no subtractions) and recruitment ( f ) constrained to 0.0 (no additions). Models are shown in pairs, in ascending order of deviance. Shown are Akaike’s Information Criterion (AICc), number of parameters (K ), deviance, and results of likelihood ratio tests, x 2 , df (difference between the pair of models), and the probability of obtaining a x 2 value this large or larger if there is no difference in model fit. Model AICc K Deviance x 2 df P M Q, open, rest closed 546.56 5 38.334 1.835 1 0.1756 Both sexes closed 546.27 4 40.169 M open, F closed 548.26 6 37.871 2.298 2 0.3170 Both sexes closed 546.27 4 40.169 Both sexes open 552.56 8 37.790 2.379 4 0.6663 Both sexes closed 546.27 4 40.169 F open, M closed 550.47 6 40.087 0.082 2 0.9599 Both sexes closed 546.27 4 40.169 Figure 2. Distances (binned to nearest kilometer) between remote recaptures of the same individual argali, Big Pamir study area, Wakhan District, Afghanistan, summer 2007 through summer 2008 (F: shaded bars; M: open bars). (A) Recaptures within a given sampling session. (B) Recaptures among sampling sessions. 674 The Journal of Wildlife Management N 74(4) by lambs and interested in maximizing mating opportunities during rut, travel greater distances than do females, as males do in most polygynous artiodactyls. We cannot identify sources or destinations of itinerant males (nor exact time periods of movement) but find the overall data persuasive that males moved in and out of the Big Pamir freely. Thus, even had we a field method that overcame the issues of imperfect detectability and possible duplicate counting, an estimate of male abundance based solely on direct observa- tions could easily have misled us into interpreting it as meaningful for the Big Pamir range in isolation. Our study design was compromised by logistical con- straints (it being expensive and time-consuming to mount expeditions to the area), along with competing research objectives (e.g., argali habitat use during specific seasons). Ideally in closed-capture CMR estimation, sampling sessions would be shorter, separated by briefer intervening time intervals, and more numerous than we report here. Had we been able to conduct multiple capture sessions within a shorter time span during which males remained on the study area, we might have avoided the problem of population closure and thus succeeded in generating population estimates for both sexes. For males, such an estimate would have been meaningful only for that limited time duration, however. Because we lacked information on when males moved into and out of the area, we had no way to optimize the timing of our CMR work, even had logistics not been limiting. The robust design (Pollock 1982, Kendall and Pollock 1992), employing secondary sampling sessions nested within primary sessions, would likely have solved these problems and yielded better information, but we lacked the resources to intensify our sampling sufficiently to implement it. Remotely obtained genetic data do not necessarily con- form to traditional designs of mark–recapture studies, in which a capture may occur, at most, once during each session. Continuous-session models that make use of within session recaptures such as CAPWIRE offer the potential for increased precision (Miller et al. 2005, Lukacs et al. 2007, Puechmaille and Petit 2007, Robinson et al. 2009). In our case, however, we found that most (63%) within-session recaptures actually contained no new information. Because they originated from fecal samples deposited in the same location (and at a similar time) as other samples from that individual, they reflected our inability to distinguish .1 defecation of an individual from those of multiple individuals, rather than anything about the abundance of animals. Had we ignored this spatio-temporal independence problem, our results would have contained falsely high precision. After removing within-session recaptures that were not independent, Program CAPWIRE produced an estimate with slightly less precision than model averaged closed captures in MARK. We urge investigators to consider whether samples collected closely in time and (or) space are truly biologically independent. If not, the ability of traditional closed-capture models (e.g., in MARK) to consider heterogeneity in capture probability explicitly remains an advantage. Although we were disappointed that we did not develop an abundance estimate for both sexes in the Big Pamir range, we were heartened to find evidence that our initial assumption of population isolation was evidently wrong. Further genetic information from this population (G. Luikart, University of Montana, unpublished data) suggests considerable gene flow with argali in other areas, notwith- standing that these are apparently separated from the Big Pamir by argali-free regions. Most analyses of mark–recapture data consider males and females separately because they are likely to differ in capture probability. However, genetic data, particularly from low- quality samples such as feces, sometimes allow discrimination among more individuals (based on microsatellites) than it can reliably identify to sex. There may thus be a temptation to increase overall sample size by ignoring sex, considering males and females together. Our study reminds investigators that in addition to differing in capture probability (and thus adding undesirable variation to N̂), sexes may differ in their conformance with closure assumptions. Abundance assess- ments of species that are sexually dimorphic behaviorally should consider them separately. These insights from molecular data came at some cost. Because other aspects of our argali study (e.g., G. Luikart, unpublished data; J. Winnie, Jr., University of Montana, unpublished data) required considerable field work and employed many of the same personnel, estimating the added cost of our DNA-based CMR estimate over unadjusted visual counts is not straightforward. Including the costs of supplies, shipping, and personnel, a reasonable estimate is approximately US$150/sample. A stand-alone survey de- signed to obtain similar data would have to budget for field work and personnel over and above this. Obtaining better precision than we did would require larger samples, more sampling sessions, or both. However, given the remote nature of the area and the added expenses associated with handling animals, the use of traditional mark–recapture or telemetry studies to answer the questions of population size or sex- biased movement patterns would be even more expensive. Much of the laboratory costs involved development and optimization of genotyping assays (in each of 2 independent laboratories). Future analyses would probably cost less (e.g., US$100/sample). Costs will likely continue to decline with technological advancements (Beja-Pereira et al. 2009). Further, future argali analyses might be conducted with less replication if higher quality samples could be collected, for example by sampling only in the winter or when fecal pellets are better formed and contain better-quality DNA (Maudet et al. 2004, Luikart et al. 2008; for review see Beja- Pereira et al. 2009). Although collecting high quality fecal samples for genetic analysis in remote areas can be a challenge, it is also easy to integrate into field surveys without many of the additional costs associated with traditional mark–recapture or telemetry studies. MANAGEMENT IMPLICATIONS Both CMR estimates and our visual counts confirmed that the number of argali occupying the Big Pamir range is small Harris et al. N Argali Abundance in the Afghan Pamir 675 and that this portion of argali range is appropriately viewed as a serious conservation concern. Further monitoring and careful management is needed. Although Petocz (1973) considered the Big Pamir to have contained .172 adult females in the early 1970s, differences in estimation methods lead us to caution against interpreting our estimate as necessarily indicating a dramatic decline since then. Capture–mark–recapture modeling, as well as asso- ciated genetic information (G. Luikart, unpublished data) suggested that argali inhabiting the Big Pamir are not highly inbred or genetically isolated. With such low numbers, genetic (and possibly occasional demographic) linkage with other populations, including those in Tajiki- stan or China, has probably functioned to help maintain this population. Remote (noninvasive) estimation of abundance using CMR models and genetic data from fecal samples is increasingly feasible and is often the only reliable option for wide-ranging ungulates living in difficult habitats such as argali. Such estimates overcome many of the problems inherent in uncorrected visual counts and in traditional CMR ap- proaches. However, although fecal pellets are easy to collect, rigorous laboratory analyses are costly (especially when initial optimization is required), and statistical analyses must be considered carefully. We suspect our approach will be useful primarily for populations of particular concern, which typically will be small and well defined. ACKNOWLEDGMENTS Our study was part of the Afghanistan Biodiversity Conservation Program of the Wildlife Conservation Society (WCS), supported by the United States Agency for International Development (USAID). G. Luikart was partially supported by the Portuguese American Foundation for Development and Centro de Investigação em Biodiver- sidade e Recursos Genéticos-Universidade do Porto. R. Godinho and A. Beja-Pereira were supported by post- doctoral grants (SFRH/BPD/36021/2007 and SFRH/ BPD/38096/2007, respectively) from the Portuguese Science Foundation. For field assistance we thank B. Habib, Z. Moheb, Sabir, and A. Khairzad. We also thank S. Ostrowski, D. Bedunah, S. Nikzad, Z. Ejlasi, I. Farahmand, Q. Sahar, K. Sediqi, K. Sidiqi, G. Sediq, A. Ahamad, R. King, and L. Yook for their able assistance. We thank A. Dehgan, P. Zahler, P. Smallwood, P. 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