Andean bear density and abundance estimates — How reliable and useful are they? David L. Garshelis1 Minnesota Department of Natural Resources, Grand Rapids, MN 55744, USA Abstract: Few attempts have been made to estimate numbers and densities of Andean bears (Tremarctos ornatus). It is understandable that the many challenges involved in these efforts have made it difficult to produce rigorous estimates. A crude estimate of ,20,000 Andean bears was derived by extrapolating the lowest observed density of American black bears (Ursus americanus) across the range of Andean bears. A second estimate, based on rangewide genetic diversity, produced a wide range of values; however, the low end of the confidence interval roughly matched the population estimate based on minimum black bear density. A mark– recapture analysis of 3 camera-trapped bears in Bolivia also yielded a similar density (4.4–6 bears/100 km2), but overlapping home ranges of 2 radiocollared bears at that same site suggested a higher density (.12 bears/100 km2). Neither of these estimates can be considered reliable or representative of the wider population because of the small sample sizes. Moreover, the effective sampling area for the camera-trapping study was uncertain. A DNA hair-trapping mark–recapture study in Ecuador sampled a greater number of bears (n 5 25) within a larger study area, but a male-biased sex ratio suggested that closure was violated, precluding a simple estimate of density based on the area of the trapping grid. Also, low capture rates in what was perceived (from incidence of bear sign) as prime bear habitat might be indicative of a sampling bias. These issues are not simply incorporated into confidence intervals (CIs): CIs only include uncertainty due to sampling error, not biased sampling or an ambiguous sampling area. Whereas these (low density) estimates may provide guidance for conservation, their greatest usefulness may be in providing directions for improvement of future studies of Andean bears, as well as bears in Asia, which also lack rigorous population estimates. Key words: biased estimates, camera-trapping, DNA hair-sampling, effective trapping area, genetic diversity, mark–recapture, precision, radio-telemetry, representative sampling, Tremarctos ornatus Ursus 22(1):47–64 (2011) Vaughan 2009, Clark et al. 2010), to extrapolate densities from small study sites to larger areas (Miller et al. 1997, Boulanger et al. 2002, Robinson et al. 2009) or to apply across large regions (Bellemain et al. 2005, Garshelis and Noyce 2006, Dreher et al. 2007, Kendall et al. 2009). For a variety of reasons, these rigorous population estimation techniques have rarely been applied to Andean bears (Tremarctos ornatus) in South America (or, for that matter, to the bears in Asia, other than giant pandas [Ailuropoda melanoleuca]). Logistical and financial constraints are often prohibitive, bear densities may be too low to obtain adequate samples, and the motivation to obtain such estimates may be lacking because the bears are not legally hunted. Nevertheless, there has been growing interest as well as a few recent attempts to obtain The pursuit of estimates of animal abundance is pervasive, partly because such estimates are useful for management and conservation, and partly because they satisfy a certain basic human intrigue. In North American bear studies, population estimates are generally derived from mark–recapture sampling approaches, either involving actual bear captures or ‘‘recaptures’’ obtained from photographs, sightings, or DNA from hair samples. Much effort has been and is being invested in developing scientifically rigorous population estimation techniques, with associated confidence intervals, that can be used to guide management of bears on small, selected areas (Gervasi et al. 2008, Immell and Anthony 2008, Obbard and Howe 2008, Tredick and 1 [email protected] 47 48 ANDEAN BEAR POPULATION ESTIMATES N Garshelis abundance estimates of Andean bears using some newly developed tools. Here I review the current knowledge of Andean bear abundance. Rather than simply summarizing the few reports of population estimates, I describe and thoroughly critique the methods and data. These criticisms are not meant to rebuke the efforts of any of the investigators, all of whom worked hard to collect and analyze data, but to help evaluate the veracity of the results and thereby aid in moving the science of population estimation forward, especially in the context of the Andean bear. Investigators are often well aware of the foibles of their work, but may be dissuaded from highlighting those in the publication process. Here, I take the role of a post-hoc reviewer, aiming to enhance interpretations of past works and provide guidance for future efforts. Rangewide population estimate derived from density of a surrogate species While preparing a conservation action plan for Andean bears across their range, Peyton (1999:160) summarized their status and distribution. He indicated that a group of experts were ‘‘confident that there are at least 18,250 wild spectacled [Andean] bears.’’ These bears occupied at least 50 distinct habitat fragments totaling 260,000 km2. Four of these fragments were estimated to contain .1,000 adult bears each. The source for these estimates of bear numbers was mentioned in an earlier report by Peyton et al. (1998:87). The estimated total area occupied was derived by ‘‘drawing boundaries on topographic maps around areas where field expeditions confirmed the presence of bears.’’ These boundaries were based on habitats where Andean bears were known to exist. Bear abundance within this area was then estimated by extrapolating densities of American black bears (Ursus americanus) to the geographic range of Andean bears. American black bears were used as a surrogate for Andean bears because (1) no empirical estimates of abundance existed for Andean bears at that time, (2) at least 24 mark–recapture-based estimates were available for American black bears (summarized by Garshelis 1994), and (3) American black bears and Andean bears are primarily forest-dwelling omnivorous ursids of similar size (although we now know that the 2 species are fairly different ecologically). Excluding cubs of the year, American black bear densities ranged from 7–130/100 km2, with a median of 25 bears/100 km2. Applying this median density to Andean bear range produced an estimate of 65,000 bears. Applying the lowest American black bear density yielded an estimate of ,18,000 (0.07 x 260,000). Including cubs increases the estimate to .20,000. The extreme lowest density reported for American black bears is from an area of marginal black bear habitat in Alaska — one of the northernmost black bear populations ever studied (Miller et al. 1987, Miller 1994). This population was also hunted. Thus, Peyton et al. (1998) were confident that the ,20,000 estimate for Andean bears, derived from this very low black bear estimate, should be a minimal value. Moreover, the median American black bear density was .3x higher even though a large number of the black bear density estimates were from hunted populations, whereas Andean bear populations are technically unhunted (although certainly some animals are illegally killed, especially when they depredate livestock or crops; Jorgenson and Sandoval-A 2005, Goldstein et al. 2006). Rangewide population estimate derived from genetic diversity The degree of genetic variation in a population is a reflection of mutation rate, genetic drift, natural selection, immigration, and population size. A positive relationship between genetic diversity and population size has been corroborated with studies from a host of species (Frankham 1996), although the exact form of this relationship is more conceptual than empirical. In theory, however, with data on genetic diversity and assumed values for the other parameters, one can calculate a long-term average effective population size (Ne). Ne is the size of an idealized population that would produce the genetic structure actually observed. Whereas this conceptual definition is straightforward, the estimation of Ne and its conversion to number of animals (N) has been performed in a number of ways, yielding varied results (Luikart et al. 2010). Models are also available to detect previous population bottlenecks from allelic frequencies. These procedures have recently been employed, for example, to estimate the size of ancestral brown bear (Ursus arctos) populations (Saarma et al. 2007) and to quantify and date the collapse of giant pandas, other carnivores, Ursus 22(1):47–64 (2011) ANDEAN BEAR POPULATION ESTIMATES N Garshelis and great apes (Aspi et al. 2006, Goossens et al. 2006, Zhang et al. 2007). Ruiz-Garcia (2003) used these genetic approaches to produce a crude estimate of population size and change for Andean bears. He obtained genetic samples (hairs, bones, teeth, skin, and blood) collected by field researchers and from zoos in the northern part of the bear’s range: Venezuela, Colombia, and Ecuador (although most zoo samples were of unknown origin). He analyzed the genetic diversity of these samples, and using populationgenetic models concluded that (1) the species was genetically impoverished, (2) populations in Venezuela, northern Colombia, and Ecuador were genetically isolated, but (3) these conditions dated back to ancestral Andean bears. Using estimated mutation rates, he further calculated that these populations diverged some 24,000 years ago, and thus the genetic fragmentation was not a result of the European human invasion 500 years ago. A major finding of this study was that populations of Andean bears did not pass through a genetic bottleneck: Ruiz-Garcia (2003) concluded that population size has remained constant over the evolutionary history of this species. Applying a range of mutation rates varying by more than an order of magnitude, he calculated long-term effective population sizes. Two different mutational models produced widely varying results. For example, in one model he obtained Ne estimates of 644–3,044 for Colombia and 325–1,348 for Ecuador. In the second model, his estimates were 1,888–12,875 for Colombia and 1,429–8,017 for Ecuador. Country-specific estimates of Ne were then expanded to rangewide estimates. Unfortunately, the process for doing so was not explained, so cannot be evaluated here. The full span of reported estimates was 5,500–30,000 bears; it is unclear, though, how the upper end of this range was calculated, given that the maximum values for just Colombia and Ecuador totaled nearly 21,000, while Peru and Bolivia are reported to have the most bears (69% of area of bear range; Peyton 1999). To be of conservation value, the estimates of effective population size (which is a function of population fluctuations, sex ratio, proportion of animals breeding, litter size, generation time, etc.) must be converted to real population size. Many estimates exist in the literature for the ratio of Ne to N. Frankham (1995) compiled results from a multitude of studies and found that estimates of Ne Ursus 22(1):47–64 (2011) 49 tended to center around ,0.1 N; few valid (data rich) estimates of Ne were .0.5 N. Harris and Allendorf (1989) estimated a Ne /N ratio of 0.24–0.32 for grizzly (brown) bears; this range encompasses the narrower range calculated by Miller and Waits (2003) for the Yellowstone grizzly bear population (0.27–0.32). Applying Harris and Allendorf’s range of Ne /N ratios to Ruiz-Garcia’s (2003) estimates of Ne would yield total population estimates of 17,000–125,000 Andean bears. Ruiz-Garcia (2003) asserted, however, that a more credible range of Ne values was only 19,000–24,000, and also elected to use a much higher correction factor (0.75) to convert Ne to N. Hence, starting with samples from parts of 3 countries and initially applying 2 genetic models, a range of plausible mutation rates, and a range of proportions to convert Ne to N, Ruiz-Garcia (2003:91) ultimately honed in on a value of about 25,000 Andean bears rangewide. He rejected higher calculated values because they were inconsistent with ‘‘the IUCN census,’’ by which he meant the estimate of Peyton (1999), derived from application of the lowest density American black bear population to the rangewide area of Andean bears. It must be stressed that the estimates stemming from genetic diversity are averaged across the span of time that the species has existed, not a recent point in time. Thus, if the species declined appreciably in modern times, the long-term average would be essentially meaningless for a current assessment. Ruiz-Garcia (2003) concluded, though, that no significant bottleneck occurred, so the long-term estimate is essentially the same as the current estimate. Given that, he argued that estimates in the range of 100,000 bears, resulting from some models, mutation rates, and Ne /N correction factors, must be wrong owing to their discordance with the ‘‘census.’’ What seems clear is that Peyton’s (1999) estimate constrained the range of results reported from the genetic-based estimate; thus, the 2 estimates are not truly independent. Both started with a wide range, but were trimmed to a value near 20,000 bears. More recent genetic studies, with larger sample sizes from across a larger geographic area and including more microsatellite loci (Ruiz-Garcia et al. 2005, Viteri and Waits 2009) have found higher genetic diversity than originally reported, which would convert to a higher estimate of the current bear population. Even these recent estimates of genetic diversity may be biased low because the 50 ANDEAN BEAR POPULATION ESTIMATES N Garshelis molecular markers employed were derived from other bear species, which are not closely related to Andean bears (Ruiz-Garcia et al. 2005, Viteri and Waits 2009). Using markers that were not ascertained from the target species may inhibit the ability to discern differences between some alleles (referred to as ascertainment bias). Consequently, it seems likely that the original population estimates of RuizGarcia (2003) will be substantially modified by future derivations based on genetic diversity. Local population estimate based on camera captures The Andean bear has highly individualistic color markings, which may include variable white or buffcolored rings or partial rings around the eyes and streaks or speckled patches on the muzzle, chin, neck, and chest. Often these markings are bilaterally asymmetrical. Hence, photos taken by remote cameras of the face, neck, and chest of these bears can be used to identify individuals. Others have employed individual identifications based on camera-trap photos to estimate populations of various species of striped or spotted carnivores or ungulates, via a ‘mark’–resight approach (Karanth 1995, Karanth and Nichols 1998, Elkan 2003, Trolle and Kéry 2003, Silver et al. 2004, Jackson et al. 2006, Marnewick et al. 2008, Trolle et al. 2008, Gerber et al. 2010). The ‘marking’ phase is just an initial photo of a naturally-marked animal; subsequent photos represent resighting events. This method of population estimation was exploited by Rı́os-Uzeda et al. (2007) for Andean bears in an area straddling 2 adjacent protected areas in northern Bolivia. They selected 17 camera-trap locations based on presence of bear sign; habitat that bears rarely used was discounted in the search for potential trap sites. Chosen sites included 9 in páramo and 8 in the forest. They set 2 cameras at each site (to obtain opposing views of bears). They did not use bait or scent to attract bears to the site. Cameras were checked weekly for a period of 1 month, after which 7 photographs of 3 identifiable bears were obtained. Mark–recapture analysis indicated that only these 3 bears occupied this area. To convert this estimate of abundance to density, the researchers estimated the effective sampling area. They employed a commonly-used technique whereby the trapping area is increased by a buffer strip equal to K the estimated width of an average home range (or the radius of a circular home range) to account for the bears’ use of areas beyond the camera sites. This width was initially estimated based on the average maximum distance between each individual’s photographed locations. This yielded a buffer width of only 0.25 km around the camera-trap sites, and a density estimate of 13.6 bears/100 km2 (95% CI 5 8– 19/100 km2). This buffer strip was obviously too small, as a home range radius of 0.25 km would equate to a home range area of only 0.2 km2. A previous study in this same area by Paisley (2001), with radiocollared bears, yielded home range estimates of .7 km2, or an estimated radius of 1.5 km. One of these previously collared bears appeared to have been recaptured at Rı́os-Uzeda et al.’s (2007) camera traps. Using this home range radius to buffer the camera-trap locations and define the effective trapping area (Fig. 1), Rı́os-Uzeda et al. (2007) calculated a density of only 6 bears/100km2 (3.6–8.5/100 km2). Castellanos (2004, 2011) observed larger home ranges in Ecuador: 15 km2 for females and 59 km2 for males. Applying Castellanos’ female home range radius to the camera-trap area produced a density estimate of 4.4 bears/100km2 (2.6–6.2/ 100km2). Although the sex of the photographed bears was unknown, Rı́os-Uzeda et al. (2007) elected not to use Castellanos’ male home range estimates to buffer the trapping area and concluded that a density of 4.4–6 bears/100km2 was most likely. Much recent literature on a large number of camera-trapped species has been concerned with the estimation of effective trapping area. One study of a known population of leopards (Panthera pardus) concluded that a strip width of K the mean distance between camera captures produced a reasonably accurate density estimate (Balme et al. 2009). Other studies found that better results were obtained with buffer strips equal to the average maximum distance between captures rather than K that distance (Parmenter et al. 2003, Sharma et al. 2010). Various model-based approaches have also been proposed that use the spatial distribution of all capture data to estimate the effective area of use (Efford et al. 2004a, 2009; Gardner et al. 2009, 2010; Royle et al. 2009); these approaches are better supported mathematically than the rather informal buffer strip calculations. Still other authors have argued that home ranges need to be estimated independent of the camera trap data because, especially when there are few recaptures, the distances between them are Ursus 22(1):47–64 (2011) ANDEAN BEAR POPULATION ESTIMATES N Garshelis Fig. 1. Camera-trapping sites (shown as camera icons) used by Rı́os-Uzeda et al. (2007) to obtain a mark–recapture estimate of the population size of Andean bears in northern Bolivia. Three individual bears were photographically identified. These authors used 3 varying-sized buffers, as shown (adapted from their figure), to define the effective trapping area and thereby estimate bear density. The inside-most buffer (darkest shading) was based on estimated home range radius derived from camera captures of the same individual at different sites. Two outer buffers were based on home ranges estimated from 2 radiotelemetry studies (Paisley 2001; Castellanos 2004, 2011). Innermost (white) area was assumed to be trapped, but actually shows a sizeable void where bears would not have encountered any traps. invariably underestimates of actual movements (McCarthy et al. 2008). Soisalo and Cavalcanti (2006) found that GPS-collared jaguars (Panthera onca) moved nearly twice as far as indicated by their recapture distances, even though camera traps were set in places with many GPS locations. The photographic data alone overestimated density of jaguars by .70%. For ocelots (Leopardus pardalis), camera-trap based buffers yielded density estimates that were more than twice that obtained using telemetry-based estimates of the effective area (Dillon and Kelly 2008). Conversely, in a study of American black bears, Tredick and Vaughan (2009) found that the estimated density based on a telemetry-derived buffer strip was, on one study site, about 2x the estimate derived from spatial analysis Ursus 22(1):47–64 (2011) 51 (Program DENSITY, Efford et al. 2004b) of the recapture data (DNA hair samples in this case). Tredick and Vaughan (2009) considered the latter estimate to be more accurate in this case because the telemetry data were too limited. Obbard et al. (2010) concluded that maximum-likelihood-based estimators of the effective trapping area derived from spatial distribution of recapture data (Efford et al. 2009) performed better than ad hoc boundary strips because they include heterogeneity in detection and also because they incorporate the variance of the area estimate as part of the variance of the density estimate. However, these sorts of modeling procedures require more data than are likely to be obtained in an Andean bear camera-trapping study. In the case of Rı́os-Uzeda et al.’s (2007) study, it is clear that the camera recapture data alone would have underestimated the effective trapping area. But even the telemetry data that were used to correct the effective area were subject to considerable error. In Paisley’s (2001) study, the collared bears often wandered out of range of the telemetry equipment. Including areas where radio signals emanated but reliable triangulated locations could not be achieved caused the estimated home range size for 1 of 2 bears to nearly double. Yet even this was an underestimate because radio signals were not audible on 16–20% of tracking attempts within the area that the bears were known to occupy. If, as suggested by Paisley’s (2001) locational and presence–absence data, the real home ranges of these bears was 20 km2 or more, the total area encompassed by Rı́os-Uzeda et al.’s (2007) camera sites was equivalent to about 1 home range. Based on empirical camera-trapping data with ocelots, Maffei and Noss (2008) recommended a minimum study area size of 4 home ranges. The smaller the study area size relative to home range size, the less geographic closure (Garshelis 1992), and hence the greater the influence of the chosen buffer area on the density estimate. In other words, the smaller the camera-trapping area, the greater the dependence on radiotelemetry data for estimation of home range size and effective sampling area. Small sampling areas are also apt to be nonrepresentative of the larger regional area by chance alone. For example, Matthews et al. (2008) sampled 2 study sites in California with camera traps and observed American black bear densities 7x higher on 1 site than the other. Indeed, 1 of the sites had one of the highest densities ever reported for this species 52 ANDEAN BEAR POPULATION ESTIMATES N Garshelis (133 bears/100 km2). The 2 areas had similar habitat characteristics and were only 4 km apart, but during the period of camera trapping (,6 weeks) the site with high density had an abundance of blackberries (Rubus discolor), which may have attracted bears. In fact, there were only 3 bears on 1 site and 5 on the other, so the dramatic disparity in apparent density was really attributable to a difference of just 2 bears. With such small numbers of animals, results are not likely to be meaningful and may be misleading in representing the larger surrounding area. The number, spacing, and layout of the traps are other important considerations. Karanth and Nichols (1998:2855) stressed that it is important ‘‘to ensure coverage of the entire area, without leaving holes or gaps that were sufficiently large to contain a tiger’s movements during the sampling period.’’ In Rı́os-Uzeda et al.’s (2007) study, a large gap occurred in the middle of the trapping area (Fig. 1). This area was not trapped because it was considered marginal habitat for bears, and thus largely unused (R. Wallace, Wildlife Conservation Society, La Paz, Bolivia, personal communication, 2009). That seems like a logical decision in terms of trapping efficiency, but it is difficult to reconcile, after the fact, whether this area should have been included in the density estimate. Rı́os-Uzeda et al. (2007) demonstrated the potential feasibility of employing camera-based individual identifications for population estimation of Andean bears. But the study also highlighted shortcomings that might be improved in future efforts of this kind, depending on financial and logistical constraints (e.g., larger study area with more camera traps and no large gaps between traps). A major issue, though, that may be difficult to control is sample size; this depends both on bear density and their likelihood of passing in front of a camera (which would be enhanced with a lure, but that also influences recapture rates and may increase heterogeneity in probability of capture). Camera trap studies of other species have generated population estimates from small sample sizes (e.g., ,6 individuals; McCarthy et al. 2008, Lynam et al. 2009, Rayan and Mohamad 2009), but in such cases individual capture heterogeneity is likely to go undetected, resulting in biased estimates (Link 2003, 2004); moreover, the derived CIs are likely to underestimate sampling uncertainty because the data are too sparse to assess actual heterogeneity. Certainly, with small numbers of recaptures, the buffer size used to estimate density is prone to be flawed, pointing to the need for independent telemetry data. Notably, Rı́os-Uzeda et al.’s (2007) estimate of $15,000 in expenses and 24 person-weeks of field effort to conduct their study did not include the expenses and effort also needed to obtain the telemetry data upon which they relied. A final issue related to camera-trapping is the ability to discriminate individuals from photographs that are often taken at different angles and distances from the bears and under varying ambient conditions. For Andean bears, the key is to clearly see the markings of their face, and possibly their neck and chest. Rı́os-Uzeda et al. (2007) used 2 cameras at each site, positioned opposite each other, to avert the potential problems of obtaining a photograph of only 1 side of the face and not being able to match that with a different photograph of the other side. They recommended that future studies use 3 cameras to better discriminate individuals. Rı́os-Uzeda et al. (2007) claimed to be certain of individual identification for each of the 7 bear photographs that they obtained. However, a problem with photographs is that identification of individuals is subjective; investigators may differ in their judgments about distinguishing characteristics (Zug 2009). Had Rı́osUzeda et al. (2007) misidentified just 1 bear, their estimates of density would have been very different. More photos of more bears would reduce the effect of a small number of misidentifications, but would increase the chance of encountering many similarlooking bears; indeed, there may be a limit to the number of individual bears that can be reliably distinguished from photographs, especially those taken in uncontrolled field conditions. Local population estimate based on radiotelemetry Paisley (2001) radiocollared and tracked 2 bears in essentially the same area where Rı́os-Uzeda et al. (2007) later conducted their camera-trapping study. Although Paisley (2001) did not attempt to estimate density because of the small sample size, a crude density estimate can be extracted from her data. The 2 bears were radiotracked mainly from ridgelines and were located in the surrounding grasslands and forest, especially along the slopes and valleys on either side of 1 main ridge in the central part of the study area. If the bears were present in that area, their radio signals would have been clearly heard and their locations easily obtained by triangulation. When bears traveled Ursus 22(1):47–64 (2011) ANDEAN BEAR POPULATION ESTIMATES N Garshelis beyond this area, however, they were more difficult to locate by triangulation, so often just a single radio bearing (or multiple non-intersecting bearings) was obtained. Other times, when the bears traveled even farther beyond the central study area, their radio signals could not be heard at all. After a full year of radiotracking, 1 bear was located in the central study area on 64% of tracking attempts and the other located on 70% of tracking attempts. The portions of their home ranges within this area highly overlapped (Fig. 2). Circumscribing the combined area of use yields an area of ,12 km2. Hence, during the course of a year, 1 of the bears was present 64% of the time and the other 70% of the time within this 12-km2 area; this yields a mean of 0.64 + 0.70 5 1.34 bear-equivalents/12 km2, or 11 bears/100 km2. Occasionally (although rarely), some other bears were observed in the area, so it is probably safe to assume that 12 bears/100 km2 is a minimum density estimate. Importantly, this represents the average density over the course of a year — at times there might have been 3 or 4 bears present [25–33/100km2], either by chance or due to availability of some type of food, and at other times 0 or 1 [0–8/100km2]). Although this is not a formal estimate of density, because it does not rigorously account for bears other than the 2 that were collared, it certainly represents a minimum and covers a much longer period than the 1-month camera-trapping study in the same area. Notably, this minimum density is 2– 3x higher than that reported in the camera-trapping study; however, it is very close to the estimate of 13.6 bears/100 km2 that was rejected in the cameratrapping study because the buffer was deemed to be unreasonably small (Rı́os-Uzeda et al. 2007). Ironically, the more reasonable camera-trapping buffer, taken directly from Paisley’s (2001) telemetry data, yielded a much lower density estimate than derived directly from Paisley’s data. Several possible explanations exist for the discrepancy between these 2 density estimates. 1. 2. Density declined during the 5-year interlude between the studies (1999–2004). Density in this high-altitude area was lower during the height of the dry season (Aug– Sep), when the camera-trapping study was conducted, than during other times of year because the bears tended to use other areas. Ursus 22(1):47–64 (2011) 53 Fig. 2. Portions of home ranges of 2 Andean bears in northern Bolivia (adapted from Paisley 2001). Convex polygons enclose locations obtained by triangulation over a year, and outer rectangle (12 km2) circumscribes both polygons. The 2 bears were located within this core area 64% and 70% of the time that they were radiotracked, but were outside this area the rest of the time (i.e., either their radio signal could not be heard or the signal came from outside this area, but location could not be determined). These data yield a density estimate higher than that obtained by camera trapping in the same area 5 years later (Fig. 1). 3. 4. 5. The camera-trapping study site included areas, possibly of lower density, outside the 12-km2 telemetry study site. The density estimate from the camera-trapping study was biased low due to 1 or more of the factors described in the previous section. The estimates are a function of small study areas and small sample sizes and are not really biologically different. Any or all of these may have contributed, but I favor point (5) as the primary explanation. 54 ANDEAN BEAR POPULATION ESTIMATES N Garshelis Local population estimate based on DNA hair captures Undoubtedly the most rigorous estimate of abundance and density of Andean bears yet obtained was that of Viteri (2007). Her study was a mark– recapture design where the marks were DNA identifications of hair samples (Woods et al. 1999, Boulanger et al. 2004a, Lukacs and Burnham 2005a). Hair samples were collected by stringing 2 strands of barbed wire around tree trunks and wooden posts to form a small enclosure and putting a scent lure in the middle. Bears attracted to the lure crawled over or under the wires, and in so doing, left some hair with follicles (containing DNA) on the barbs. This study was conducted within the CayambeCoca Ecological Reserve in northern Ecuador. Hair traps were set out in a grid pattern of 9-km2 cells (3 km apart). This cell size was chosen based on presumed movements of bears to afford each bear living in the area an opportunity to encounter at least 1 trap. A total of 103 grid cells (94 of which had a hair trap) encompassed 927 km2, a reasonably large study area size. Sampling was conducted over a period of .3 months, during which time each cell was checked and hairs collected 4 times. Viteri (2007) obtained genotypic information for 54 samples, from which she identified 25 individual bears. Various mark–recapture estimators (Programs CAPTURE and CAPWIRE; Otis et al. 1978, Miller et al. 2005) yielded population estimates of 33–48 bears (95% CI for full range of estimates: 26–69). Converting these estimates to density requires population closure; accordingly, this study was established within boundaries that were thought to be barriers to bear movements (i.e., high ridges and presumed marginal habitat). An analytical test indicated that the population was closed, but this pertains only to demographic, not geographic closure. A highly-skewed sex ratio in all portions of the study area (Fig. 3) suggests that the study area was not geographically closed: in total, 15 (65%) of the identified bears were males and only 8 were females (2 were unidentified as to sex). Sex ratios of captures could be skewed by a combination of the following: (1) an uneven sex ratio in the living population, (2) unequal vulnerability to capture, or (3) greater movements by the more commonly captured sex (males in this case). This population was within a Fig. 3. Grid cells (3 x 3 km2, n = 94) in the CayambeCoca Ecological Reserve, Ecuador, where Andean bears were hair-trapped to produce a population estimate (adapted from Viteri 2007). Study area cells with no hair trap were omitted (except 1 interior cell marked with X). Quality of habitat in each cell was categorized as prime (class 1), moderate (class 2–3), or poor (class 4–5), based on classes of habitat suitability (Cuesta et al. 2003), derived by modeling incidence of bear sign in this same area. I categorized cells as to the predominant habitat suitability class by visually overlaying Cuesta et al.’s (2003:Fig. 3) habitat suitability map with some extrapolations to cells outside their study area boundaries using Viteri’s (2007) habitat map. Individual identifications and gender of hair-trapped bears were determined by genetic analysis (Viteri 2007). The number of different individual bears and their sex (M = male, F = female, U = unknown) identified in the eastern, center, and western portions of the study site is shown above the map. These 3 geographic areas were delineated based on predominant habitat, for illustrative purposes. Captures in all areas were male-dominated, and capture rate did not correspond with habitat suitability: twice as many bears were captured in the west, where habitat for bears was considered mainly poor, as in the east, where much of the habitat was considered prime, with approximately the same trapping effort in each (n = 28 and 26 hair-traps respectively). Some bears were detected in .1 portion of the study site, so totaling the number captured in each geographic area (31) exceeds the total number of different bears identified across the whole area (25). protected area, but even with some exploitation by humans, the sex ratio of the living population would, if anything, be expected to become more femalebiased because male bears are more prone to being Ursus 22(1):47–64 (2011) ANDEAN BEAR POPULATION ESTIMATES N Garshelis killed when in conflict situations (Goldstein et al. 2006, Oi 2009). I suspect the capture of more males than females partly reflected the larger home ranges of males: the study area would be expected to encompass a portion of more male than female home ranges, including some males that lived mainly outside its borders. Skewed sex ratios in capture samples, suggesting lack of geographic closure for wide-ranging males, are common in studies of bears (Boulanger and McLellan 2001, Boulanger et al. 2004a, Mowat et al. 2005). Combining the sexes can severely bias the resulting estimates of abundance and density (Harmsen et al. 2011). One way to circumvent this is to restrict the estimate to the sex that exhibits sufficient closure (Harris et al. 2010). Assuming geographic closure and simply dividing the lowest and highest population estimates within the 95% CI by the size of the study area yields a range of 3–7 bears/100 km2 for Viteri’s (2007) study. If the study area were not closed, allowing bears to wander in and out, then the effective sampling area (as discussed previously with regard to camera trapping) was larger and the actual density lower than this simple estimate. However, even without a correction for lack of closure, these density estimates are already quite low, and moreover, they probably include some cubs (because 2 strands of barbed wire were used to collect the hair samples). What is unclear, though, is whether some bears, notably females, might not have been attracted to the lure or were behaviorally averse to crawling through the barbed wire (Woods et al. 1999), making them essentially uncatchable, at least over the short term (M. Gibeau [Parks Canada, Lake Louise, Alberta, Canada, personal communication, 2010] observed this for grizzly bears filmed with remote video cameras). If heterogeneity in capture probabilities was the primary explanation for the skewed sex ratio, then the population and corresponding density estimates would have been biased low despite the lack of geographic closure. The population estimators used in this study were designed to correct for capture heterogeneity, but cannot account for animals with very low capture rates (Link 2003, 2004). A particularly enigmatic finding was that a high proportion of the bears were captured in portions of the study area that were previously identified as poor Andean bear habitat, based on incidence of bear sign (Cuesta et al. 2003), and a relatively low proportion Ursus 22(1):47–64 (2011) 55 were captured in what had been categorized as prime habitat (Fig. 3). Indeed, 35% of bear sign in Cuesta et al.’s (2003) study within the same area was found in montane cloud forest habitat (which comprised about 5% of the study area), but only ,12% of Viteri’s (2007) captures of identifiable bears occurred in this habitat (my calculation); standardized for season (May–Aug hair collection), .40% of bear sign was found in this habitat. Conversely, the least suitable habitat was judged to be a high-elevation (.3,600 m) section of grassland páramo in the west that was traversed by a road, and a low elevation (,1,900 m) section in the east with a road and foot path connecting 2 towns (Cuesta et al. 2003). However, as many as 7 (28%) different bears were captured in this anthropogenically-disturbed habitat that was perceived, from sign, to be rarely used by bears. This mismatch between the distribution of sign and hair captures is difficult to reconcile, but could suggest an under-sampling of bears in the prime habitat (and thus underestimation of density). Possibly the scent of the lure did not carry as far in the forested habitat. Alternately, the detection of sign was biased. However, sign was commonly detected in the grassland páramo at sites distant from roads (mean incidence 5 28% of all sign), and scats and feeding signs in páramo tend to last considerably longer than in cloud forest (Paisley 2001). This suggests that sign surveys would overestimate (not underestimate) bear use of páramo, making the apparent high rate of hair captures in this habitat even more enigmatic. A potential explanation is that DNA in hair samples from cloud forest habitat degraded more quickly than in samples from the páramo. Thus, whereas 54 samples provided identifications of 25 different bears, another 94 samples yielded insufficient genetic information to be included in the analysis (Viteri 2007), and these may have occurred more often in the forested habitat. Bias and precision of estimates The accuracy and precision of a population estimate are largely a function of sampling. One can never expect to achieve a perfectly accurate estimate, but with increased sampling, the estimated value should approach the true value, and certainty in the estimate should increase. Indeed, precision typically increases (CIs become narrower) with larger samples. However, CIs only account for 56 ANDEAN BEAR POPULATION ESTIMATES N Garshelis variation within the sample data; they provide no indication of bias. Robson and Regier (1964) proposed that for management purposes (which would include conservation monitoring), investigators should strive to ensure that there is a 95% probability that population estimates are within 25% of true population size. This desired precision suggests that upper and lower limits of the 95% CI should be within 25% of the point estimate. Assuming that the sampling is not biased, one can calculate necessary sample sizes to achieve this. In the simplest form of mark–recapture population estimation (2-sample Petersen estimate), a recapture sample that includes 16 marked animals would tend to produce 95% confidence limits within 50% of the point estimate; a recapture sample with ,64 marked animals would be required to achieve the desired 25% (C.J. Schwarz, 2006, An introduction to mark–recapture methods used in fisheries management, unpublished report, Simon Fraser University, Burnaby, British Columbia, Canada). This sort of sample size may be impossible to attain for Andean bears with some techniques (e.g., camera trapping), although the same level of precision could be achieved with smaller sample sizes within multiple recapture sessions. In attempting to obtain unbiased and precise estimates, both the size and representativeness of the sample are key. With very small samples, the likelihood increases that the data are biased by an odd event or unusual individual. In Paisley’s (2001) study, for example, 1 of 2 radiocollared bears was a conspicuously under-sized adult and the other was a subadult, so their movements and habitat use may not have represented the population at large (Paisley and Garshelis 2006). Thus, although the density estimate derived from the home range use of these bears accurately portrayed the bear density within the small area in which they spent most of their time, that density may not have reflected bear density in similar habitats across that region of Bolivia. In this study, the bears were captured and handled, and their weights, measurements, and body conditions helped in assessing whether they were normal. Camera trap photos and DNA do not enable such an assessment. For DNA-based studies, sex ratio and spatial distribution of the capture samples provide the primary indications of representativeness. Spatial distribution of captures is expected to vary in a nonuniform environment. In fact, spatial distribution has been used as an indicator of relative habitat quality for other species of bears (Apps et al. 2004, Nams et al. 2006, Proctor et al. 2010). Only if there is a mismatch between the spatial distribution of captures and some other independent assessment of habitat quality (e.g., Viteri 2007 versus Cuesta et al. 2003) would there be cause for concern. The underlying cause of a skewed sex ratio might be revealed by comparing recapture rates of males and females (Kendall et al. 2009). In the extreme case, where the capture sex ratio is very lopsided apparently due to 1 sex being under-sampled (e.g., females avoiding hair traps) or over-sampled (e.g., males routinely entering and leaving the study area), a population estimate closer to truth might be derived by selecting the sex with the presumably better estimate and doubling it (Bellemain et al. 2005, Peacock et al. 2011). Whereas such an approach may not seem analytically rigorous, it must be stressed that analytical rigor typically cannot overcome sampling biases, and extreme efforts to correct such biases may be necessary. A precise but biased estimate may be especially misleading because the true abundance (or density) could be well outside the CI. Sharma et al. (2010) demonstrated this with a camera-trapping study in a reserve with a known number of tigers (Panthera tigris, n 5 14). By excluding subsets of the accumulated photos (from specific cameras), they simulated the effects of varying camera trap densities on the reliability of the population estimates. In a low density tiger population with a low density of camera traps, only 34% of simulated estimates contained the true population size within their 95% CIs. Camera trap-based population estimates are particularly difficult to evaluate for bias because gender information is usually lacking and, in some cases at least, a significant number of photos may be unidentifiable to individual because of inadequate clarity, framing, or position of the bear (Zug 2009). Also, bears with similar markings could be misclassified. A method to quantify potential errors in identification and incorporate them into the CIs has not yet been developed, but possibly could be patterned after methods devised for genotyping errors (Lukacs and Burnham 2005b, Petit and Valiere 2006, Knapp et al. 2009, Wright et al. 2009). However, if these sorts of events are nonrandom (e.g., if some similar-looking individuals are often confused), or even if they are random but capture success is extremely low, this sort of Ursus 22(1):47–64 (2011) ANDEAN BEAR POPULATION ESTIMATES N Garshelis incomplete, heterogeneous sampling can significantly bias the results (Link 2003, 2004). Even with reasonably large capture samples, heterogeneous sampling is common in bear studies, often resulting in significant underestimates of population size (Noyce et al. 2001). To ensure reliable results from mark–recapture models, average capture probabilities should generally be .0.2 (White et al. 1982, Boulanger et al. 2004a). For small populations (e.g., ,50 animals), they should be higher, to account for heterogeneity, avoid bias, and compute meaningful CIs. High trap densities are needed to achieve such high capture probabilities if home ranges are fairly small (Settlage et al. 2008). Capture rates are bound to be low for low-density Andean bear populations living in areas where it is logistically difficult to set and check a large number of camera traps over a wide enough area to sample many individuals. Rı́os-Uzeda et al. (2007) calculated a probability of capture of only 0.08 for their camera-trapping study and estimated a population size of only 3 bears. Biologists thus face the dilemma of whether employing an analytical approach that is poorly equipped to handle such small samples returns results that are reliable enough to be of use in conserving species like the Andean bear. If capture rates are low and sample sizes small, investigators are unlikely to discern individual capture heterogeneity (which is nearly ubiquitous) and therefore would be unaware of the negative bias in the resulting population estimate (Ebert et al. 2010, Proctor et al. 2010, Harmsen et al. 2011). Whereas such underestimation errs on the side of demanding more conservation attention to the population, it also may hamper the ability to recognize conservation efforts that have succeeded in fostering population growth. Reliability of Andean bear estimates Reliability of population estimates can be gauged from their precision, potential biases, and transparency of methods, results, and analyses (Conroy and Carroll 2009). My review was intended to critically evaluate these aspects of reliability for Andean bear estimates. The issues raised here were not intended to disparage the work of the investigators who strove, sometimes with enormous effort, to provide information to the scientific and conservation communities that could aid in understanding and protecting populations of these bears. Critical evaluation is a Ursus 22(1):47–64 (2011) 57 process that helps to correct mistakes and misinterpretations and provide better direction for the future. This process is especially important for threatened bear populations because many of the techniques regularly employed to track changes in their population sizes have produced misleading or uncertain results (Garshelis 2002). An unfortunate irony is that the poorest data are available for the species and populations of bears that are most threatened. Certainly there are ample reasons to question the reliability of all of these estimates for Andean bears. Peyton et al.’s (1998) estimates, based on extrapolation of American black bear densities, span a wide range (18,000–65,000 bears) and so are much less precise than indicated by conservative reports of just the lower value, or a rounded-off value of ,20,000. Some have nevertheless used the lowest density figure to derive separate range–country estimates. Obviously, no real assessment of reliability is available for such estimates because they were based on a surrogate species. Peyton et al.’s (1998) use of the black bear density estimates filled an information void and was arguably somewhat better than a guess. Others have produced abundance and density guesstimates for other species of bears based only on occasional sightings and subjective assessments of amount of sign that have been extrapolated over large areas (e.g., sun bears [Helarctos malayanus], Davies and Payne 1981; sloth bears [Melursus ursinus], Yoganand et al. 2006). Ruiz-Garcia’s (2003) genetic diversity-based estimates also span a wide range. However, this range was trimmed through a process that was not easily defensible or replicable. The apparent concordance between the estimates of Ruiz-Garcia’s (2003) and Peyton et al. (1998) owe in part to an effort to frame the genetics estimates by what was considered to be field census data. The central focus of Ruiz-Garcia’s study was genetic heterogeneity and gene flow, but again, in an attempt to fill a void, the methods may have been stretched beyond their level of reliability to generate population estimates. Rı́os-Uzeda et al. (2007) specifically sought to estimate density using camera-trapping, a technique that had been successfully employed on other species, mainly cats with distinctive pelages. Indeed, some of the same investigators had previously used camera traps to estimate abundance and density of jaguars (Wallace et al. 2003) in one of the same protected areas (Madidi National Park) where the 58 ANDEAN BEAR POPULATION ESTIMATES N Garshelis bears were later studied. The jaguar study also yielded a small number of captures and identifiable individuals (but twice that of the bear study). Using only telemetry-based buffers to estimate effective trapping area and calculate density, Rı́os-Uzeda et al.’s (2007) 95% CI (2.6–8.5/100 km2) was rather imprecise; nevertheless, it suggested a low density, equivalent to or less than the lowest reported American black bear density, used by Peyton et al. (1998). The issue, though, is whether the reported 95% CI actually contained the true population density in this area, or if it was significantly biased. This problem is not unique to this study or to bears, but is likely pervasive for camera-trapping studies of low-density species (Harmsen et al. 2011). It is important to note that the reported CIs for abundance estimates, when converted to density, typically do not include the error associated with the estimation of effective trapping area. So in the case of Rı́os-Uzeda et al.’s (2007) study, the calculated CIs assume that the effective area was a fixed, known quantity (or, rather a choice among 3 quantities, Fig. 1). Clearly that was not the case because the buffer area was derived from estimates of home range sizes, which are likely to vary substantially by individual, sex, method of calculation, and number of telemetry locations. Hence, the denominator in the density calculation (area) probably has more uncertainty than the numerator (abundance), significantly reducing the reliability of the estimate. The density estimate based on Paisley’s (2001) home range data was presented here with no measure of precision. Certainly the area used by the 2 bears (Fig. 2) was not measured without error: potential sources of error include telemetry triangulation, sampling (even when the bears were within this general area, they could have been in other places when nobody was observing), and method of depicting this portion of their home range (minimum convex polygon). However, these sources of error are essentially irrelevant because the area of use was taken to be a rectangle encompassing both bears, a very crude approximation that would tend to underestimate density (because it includes areas where the bears were never detected; Fig. 2). Hence the only remaining major source of error would be the proportion of time that the bears spent in this area. Combining data for the 2 bears (because they spent a similar proportion of time in the area), a simple CI can be calculated (146 locations in 218 attempts 5 0.67, 95% CI 5 0.61–0.73, presuming the sampling was random, which it was not, given difficulties of sampling during the rainy season). This suggests a range of 1.22 (2 x 0.61) to 1.46 bearequivalents in the 12-km2 area, or a density of 10.2– 12.2 bears/100 km2, which is probably far more precise than warranted given the nature of this crude calculation. But, especially with the addition of other bears that were occasionally seen in this area, it appears that this estimate is truly higher than the camera-trapping estimate in the same area. When 2 estimates in the same area, based on different methodologies, produce results with non-overlapping CIs, the reliability of 1 or both estimates must be called into question. Viteri’s (2007) estimate of Andean bear abundance was well-designed and carefully conducted, yet the precision of the estimate was low (within 30–50% of point estimates) for monitoring purposes. Wide CIs, though, are not uncommon for even the most rigorous population estimates of bears (Miller et al. 1997, Boulanger et al. 2002). Moreover, population trends may be gleaned from a series of estimates with overlapping CIs (Garshelis and Hristienko 2006, Clark et al. 2010), and estimates of population growth (l) can even be obtained from mark– recapture data that fail to produce a useful estimate of abundance (e.g., Pradel model in Program MARK; Boulanger et al. 2004b, Proctor et al. 2010). Notably, Viteri’s (2007) estimates, converted to densities, were equivalent to those of Rı́os-Uzeda et al. (2007) and would have been even lower if corrected for effective trapping area (lack of closure). An important question, though, is whether these results were actually biased low, given their discordance with models of habitat quality judged from abundance of sign (Cuesta et al. 2003). Again, conflicting results reduce confidence in reliability. The DNA results, however, are at least highly transparent. Geneticists routinely report error rates associated with genotyping, and methods exist for assessing and correcting effects of these errors on population estimates (Lukacs and Burnham 2005b, Petit and Valiere 2006, Knapp et al. 2009, Wright et al. 2009). Thus, although genetic identifications outwardly seem less apparent than photographs, they are actually more strictly defined, due to standardized and validated laboratory procedures (Waits and Paetkau 2005), and are thus repeatable and defensible. Unfortunately, individual identifications from camera trap photos are generally not subject to the same strict standards so might be Ursus 22(1):47–64 (2011) ANDEAN BEAR POPULATION ESTIMATES N Garshelis judged to be less reliable. That is not to say that less care is taken in matching photographs. Indeed, other studies have reported exacting protocols (Jackson et al. 2006, Larrucea et al. 2007), and even computeraided photographic matching, which is helpful (or even necessary) for complex pelage patterns (Kelly 2001, Speed et al. 2007, Hastings et al. 2008, Sherley et al. 2010). In terms of Andean bears, however, pattern matching often relies on just a few white facial streaks, which can appear slightly different at different angles, different lighting, or different fur wetness, and different observers may employ different personal thresholds for distinguishing individuals. Some efforts have recently been made to better define and standardize the process used to differentiate individuals of this species from camera-trap photographs (Jones 2010). Improvements to this methodology will be crucial if camera-trapping studies are to be used to derive reliable estimates of abundance (and survival rates), which will require larger samples and greater certainty in recapture events than obtained thus far. Usefulness of population estimates It seems almost tautological that if a population or density estimate is reliable, it would be useful, but is there any value in less reliable estimates? Potentially, a collection of less rigorous estimates, all in the same ballpark, could assist conservation assessments (e.g., evaluating risks and effects of poaching; SánchezMercado et al. 2008). Conversely, highly-varying estimates might be useful for identifying relative population strongholds and thereby defining conservation priority areas. Previously, such areas have been identified based on incidence of sign (Peralvo et al. 2005), but sign deposition and detection can vary by habitat type, so difficulties may arise in comparing areas with different habitat compositions. Depending on the particular circumstances, this sort of bias may either be diminished or exacerbated by attempting to progress from an index to an estimate. For example, Rı́os-Uzeda et al. (2007) found it difficult to obtain camera captures of bears in high altitude grasslands because vegetation caused innumerable false camera-triggers, whereas sign was readily observable in this habitat (Rı́os-Uzeda et al. 2005). Obviously, researchers and conservationists must decide when the extra effort of obtaining a population estimate is warranted, and what level of accuracy is required. Ursus 22(1):47–64 (2011) 59 The existing population estimates for Andean bears, reviewed and evaluated here, are all useful in one respect. They are a good demonstration of a variety of approaches and highlight the kinds of biases and other shortcomings that are likely to be encountered in future studies. They exemplify the desire to better understand Andean bear populations as well as the difficulties of doing so (specifically, issues of small sample size and sampling biases). Others studying small bear populations have noted the benefit of combining different sorts of sampling — for example, setting some hair snares at feeding sites where densities are relatively high, plucking hairs off trees, and obtaining DNA from scats. Doing so not only adds to the sample size, but also helps to expose more of the population heterogeneity (Boulanger et al. 2008, Gervasi et al. 2008, De Barba et al. 2010, Stetz et al. 2010). If a bear eludes capture through 1 sampling procedure, it might be captured another way. Additionally, more reliable population estimates may accrue from applying multiple analytical techniques, especially where sample size is limited by small population size (Meijer et al. 2008). Collectively, results obtained so far suggest that Andean bears may tend to occur at lower densities than most hunted populations of American black bears (Garshelis 1994); in this respect, they may be more akin to high-density interior populations of brown bears (Schwartz et al. 2003). If this is upheld through further work, it would indicate that these bears have a relatively low resilience to human exploitation. Effective conservation strategies for Andean bears have been developed in the absence of reliable population estimates (Rodrı́guez et al. 2003, Castellanos et al. 2010). To that extent, it could be argued that accurate estimates are not really necessary, especially for a species that is not managed through harvest. On the other hand, forecasts for the persistence of this species within the many small, isolated patches of habitat in which it tends to exist depend largely on how many bears there really are (Kattan et al. 2004). The studies reviewed here suggest that these bears may occur at much lower densities than once thought, a finding, which if corroborated through further research, has strong implications for conservation planning (e.g., assessing the value of protecting habitat fragments of a certain size or the need to link small areas; Yerena et al. 2003, Kattan et al. 2004). However, because of the difficulty of con- 60 ANDEAN BEAR POPULATION ESTIMATES N Garshelis ducting studies that are likely to return reliable abundance estimates, such work should not supplant the many other ecological, behavioral, and demographic studies that are needed to better understand this species. Only through careful attention to the selection of a study site, study design, representative sampling, analytical approach, and critical scrutiny of the results will population estimates be reasonably reliable, but even with concern for all these details, the many difficult circumstances associated with studying this species will make it much harder to obtain estimates with the same level of reliability as achieved for North American bears. Consequently, efforts directed toward population monitoring methods that do not require reliable population estimates may be more useful. The same could probably be said for most populations of bears in Asia; accordingly, this review may be helpful to bear biologists in that region as well. Acknowledgments I am especially thankful to I. Goldstein for inviting me to present this paper at the Second International Symposium on the Andean Bear, held in Lima, Peru, November 2008. Symposium sponsors provided financial support. R. Wallace, M. P. 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