Grizzly Bear Denning and Potential Conflict Areas
in the Greater Yellowstone Ecosystem
SHANNON R. PODRUZNY, U.S. Geological
Survey, Northern Rocky Mountain Science Center, Interagency Grizzly
Bear Study Team, Forestry Sciences Lab, Montana State University,
Bozeman, MT 59717, USA, e-mail: srp@montana.edu
STEVE CHERRY, Department of Mathematical Sciences, Montana State University,
Bozeman, MT 59717, USA,e-mail: cherry@math.montana.edu
CHARLES C. SCHWARTZ, U.S. Geological Survey, Northern Rocky Mountain
Science Center, Interagency Grizzly Bear Study Team, Forestry Sciences
Lab, Montana State University, Bozeman, MT 59717, USA, e-mail: chuck_schwartz@usgs.gov
LISA A. LANDENBURGER, U.S. Geological Survey, Northern Rocky Mountain
Science Center, Forestry Sciences Lab, Montana State University, Bozeman,
MT 59717, USA, e-mail: lisa_landenburger@usgs.gov
Abstract: Increasing winter use of steep,
high-elevation terrain by backcountry recreationists has elevated
concern about disturbance of denning grizzly bears (Ursus arctos)
in the Greater Yellowstone Ecosystem (GYE). To help identify areas
where such conflicts might occur, we developed
a spatially explicit model to predict potential denning areas in the
GYE. Using a scan area of 630 m around each location, we assigned
site attributes to 344 den locations of radio-tracked grizzly bears
from 197599. Attributes identified as predictors for the analysis
included elevation, slope, an index of solar radiation, and forest
cover. We used the Mahalanobis distance statistic to model the similarity
between sites used by denning bears and each cell in the data layers.
We used the final Mahalanobis distance model to produce maps of the
study area. Potential denning habitat, based upon
the model, is abundant within the GYE. Our results can be used by
land management agencies to identify potential conflict sites and
minimize effects of regulated activities on denning grizzly bears.
We illustrate how the Gallatin National Forest (GNF) used the model
to examine the overlap between potential snowmobile use areas and
potential denning habitat as part of a Biological Assessment submitted
to the U.S. Fish and Wildlife Service.
Key words: denning, geographic information
system, GIS, Greater Yellowstone Ecosystem, grizzly bear, Mahalanobis
distance, model, Ursus arctos
Grizzly bears are vulnerable to disturbance at their
den sites (Linnell et al. 2000). During the denning period, bears
survive an extended period of low (or no) food availability by obtaining
all energy through metabolism of fat reserves (Folk et al. 1972, Nelson
and Beck 1984, Ramsay and Dunbrack 1986, Hissa 1997, Hellgren 1998,
Linnell et al. 2000). Production of young and lactation place additional
energetic demands on reproductive females (Nelson 1973, Ramsay and
Dunbrack 1986, Farley and Robbins 1995, Hellgren 1998, Linnell et
al. 2000). Linnell et al. (2000) noted that because of these physiological
demands and the importance of the den itself in meeting those demands,
disturbance during the denning period may have more negative effects
on bears than disturbance during other times of the year when bears
are mobile and additional energy sources are available. Potential
effects of disturbance to denning bears include elevated energy use
associated with increased movements in the den (Reynolds et al. 1986,
Schoen et al. 1987), den abandonment (Craighead and Craighead 1972,
Reynolds et al. 1976, Harding and Nagy 1980, Schoen et al. 1987),
potential loss of cubs (Schoen et al. 1987), and displacement from
denning areas (Craighead and Craighead 1972, Schoen et al. 1987).
Winter use of the GYE by recreationists has increased in recent years
(Greater Yellowstone Coordinating Committee 1999). Public concern
over the potential effects of increasing snowmobile activity on grizzly
bears has grown. Consequently, the GNF, which has jurisdiction over
the northern-most portions of the GYE, was sued over the adequacy
of their Forest Plan (GNF 1987) in addressing the impacts of snowmobiles
and off-road-vehicles on grizzly bears (Sierra Club et al. vs. Garber
et al. and Cooke City Chamber of Commerce et al. CV 00-12-BU-RWA).
The identification of potential denning areas in the GYE would allow
managers to address areas of potential conflict and thus minimize
displacement or disturbance of bears from denning areas by snowmobiles.
Our primary objective was to identify grizzly bear denning
habitat in the GYE. We used a GIS (geographic information system)
to manipulate data from satellite imagery and known den locations
to create a spatially explicit model. From the model, we mapped potential
denning habitat and used those maps to estimate the overlap between
snowmobile use areas and potential denning habitat on the GNF.
STUDY AREA
The study area included approximately 90,032 km² of the GYE (Fig.
1), including Yellowstone and Grand Teton National Parks and contiguous
lands >1,500 m in elevation (Anderson 1991). The GYE forms the
headwaters of 3 major watershed systems: the Missouri, Snake, and
Green (Marston and Anderson 1991). The area is topographically diverse;
terrain varies from gently sloping lava flows and alluvial outwashes
to high-alpine plateaus and glaciated peaks. The central geologic
feature of the area is the Yellowstone Caldera and Plateau. Climate
in the region is typified by long, cold winters and cool summers (Marston
and Anderson 1991). Vegetation generally follows an elevational gradient
(Patten 1963, Waddington and Wright 1974, Despain 1991, Romme and
Turner 1991), with sagebrush (Artemisia spp.) range lands occupying
lower elevations (<1,900 m) along the edges of the ecosystem and
valley bottoms. Douglas-fir (Pseudotsuga menziesii; 1,9002,200
m) and limber pine (Pinus flexilis) forests dominate lower
slopes and drier sites, with quaking aspen (Populus tremuloides)
occurring in the interface. Subalpine forests consist of lodgepole
pine (Pinus contorta), subalpine fir (Abies lasiocarpa),
and Engelmann spruce (Picea engelmannii). Whitebark pine (Pinus
albicaulis) occurs at higher elevations to timberline (about 2,900
m). The highest elevations include alpine meadows and rock.

Important anthropogenic boundaries exist within the
study area. The Yellowstone Grizzly Bear Recovery Zone (YGBRZ, U.S.
Fish and Wildlife Service 1993) is centered around Yellowstone National
Park and surrounding publicly owned land in the northern 2/3 of the
study area. Management practices on federal lands within the YGBRZ
emphasize protection of the grizzly bear population. These lands are
managed by 6 National Forests and 3 National Parks. Grizzly bears
currently occupy the YGBRZ, and their range extends beyond that boundary,
particularly to the south in Wyoming (Schwartz et al. 2002).
METHODS
Telemetry and Location of Den Sites
Grizzly bears were captured and fitted with radio transmitters with
techniques described by Blanchard (1985), Knight and Eberhardt (1985),
and Blanchard and Knight (1991). Locations of dens were identified
by aerial telemetry from 197599 (Judd et al. 1986, Blanchard
and Knight 1991). Widespread, large-scale fires occurred in the study
area in 1988; we did not include den sites from
years prior to 1988 that were located in subsequently burned areas.
Our estimated telemetry error was approximately 300 m, based on comparisons
of aerially estimated coordinates and GPS-acquired locations of retrieved
radiocollars (Interagency Grizzly Bear Study Team, unpublished
data).
Modeling Denning Habitat
GIS can be used to model denning habitat. The Mahalanobis distance
statistic, coupled with GIS, was used by Clark et al. (1993, 1998)
and Knick and Dyer (1997) to model black bear (Ursus americanus) and
black-tailed jackrabbit (Lepus californicus) habitat, respectively,
and by Corsi et al. (1999) to model wolf (Canis lupus) distribution.
We chose to use the Mahalanobis distance statistic rather than other
multivariate techniques (e.g., logistic regression) because the technique
does not depend on definition of study area or availability boundaries,
thus eliminating problems caused by misclassification of available
habitats as used or unused (Clark et al. 1993, Knick and Rotenberry
1998). Statistically, the Mahalanobis distance measure eliminates
problems of interaction and
covariation among variables commonly found in multiple regression
techniques (Seber 1984, Knick and Rotenberry 1998). Therefore, we
used the technique of Clark et al. (1993, 1998) by calculating the
Mahalanobis distance on a landscape scale with a GIS to model potential
grizzly bear denning areas in the GYE. The Mahalanobis distance statistic
(MHD) is given by:

Attributes identified as predictors for the analysis
included elevation (m), slope (in degrees), solar radiation index,
and percent forest cover. Because circular measures cannot be used
to calculate the Mahalanobis distance statistic, we chose to use the
solar radiation index as a substitute for topographical aspect. We
created GIS data layers for each of these variables in ARC/GRID format
(Environmental Systems Research Institute, Inc. 1993) with 30-m map
cells. Because we used spatial data classified from satellite imagery,
we were able to map our large study area at this fine resolution.
Elevation, slope, and solar radiation were derived from U.S. Geological
Survey 30-m digital elevation models. We calculated solar radiation
using an adaptation of Iqbals (1983) equation
that calculates hourly extraterrestrial radiation striking an arbitrarily
oriented surface (K. Keating, U.S. Geological Survey, Bozeman, Montana,
USA, personal communication, 2000). Lawrence and Parmenter (2001)
created the cover type map using 30-m Thematic Mapper imagery acquired
in 1993. We re-categorized the original vegetation classifications
into Forest, Non-Forest, and No Data
(water, urban areas, etc). No major changes in cover types, particularly
within the YGBRZ, occurred between 199399. To accommodate telemetry
error within our data, we attributed den locations from resampled
GRIDs whose cell values were derived from a 630 m x 630 m (or 21 x
21 map cell) scan area of the original data around that cell. Scan
areas were assigned mean elevation, slope, solar radiation, and percent
of forested cells. We used step-by-step matrix algebra among the 4
map layers to create a GIS layer of the Mahalanobis distance values
for each 30-m map cell of the GYE. These Mahalanobis distance units
represent the standardized squared distance in multivariate space
between the set of sample variables from the cells of the data layers
and an ideal den site represented by the mean values of known den
locations (Clark et al. 1993). If the Mahalanobis distance value of
a map cell was small, then the attributes of that area were similar
to those at sites selected for dens, on average. Conversely, larger
values indicated areas that were dissimilar to known den locations.
Defining Potential Denning Habitat

Knick and Dyer (1997) and Knick and Rotenberry (1998)
simply rescaled the Mahalanobis distances into 20% quantiles of the
distribution for the study areas.We used the Mahalanobis distance
values of existing den locations as guidelines and defined potential
denning habitat as all cells with values below the highest values
of the model at known den sites. Our objective in defining potential
denning habitat was to identify where bearhuman conflicts might
occur. We interpreted map cells having values within the range of
those found at known den sites as having the range of habitat characteristics
used by denning grizzly bears. For this reason, we produced a map
showing potential denning habitat with Mahalanobis distance values
less than the 100th percentile of values of known den locations. The
100th percentile map of potential denning habitat would include the
original 344 locations known to be used successfully for denning.
We also chose to use the 80th percentile to illustrate the change
in potential denning habitat as the vector of the Mahalanobis distance
statistic decreased toward the mean. We tested the performance of
our model by examining modeled values at 67 new grizzly bear den locations
observed in 200001.
Model Application
The GNF requested that we map overlap between potential denning areas
and snowmobile use areas based upon denning habitat maps defined at
both the 80th and 100th percentile (M. Cherry, 2001, Biological assessment:
the effects of snowmobile use on grizzly bears, Gallatin National
Forest, U.S. Forest Service Gallatin National Forest, Bozeman, Montana,
USA). In a separate effort, potential snowmobile use areas were mapped
and digitized from U.S. Geological Survey topographic quadrangle maps
(Greater Yellowstone Coordinating Committee 1999). Maps of designated
wilderness and areas in which motorized use was prohibited were overlaid
on the denning maps to identify areas that were protected or unprotected.
In the final step, we mapped potentially vulnerable habitat by overlaying
the map of snowmobile use areas on defined denning habitat open to
snowmobiles. Using this approach, we produced output for the GNF management
to examine both the quantity and the spatial distribution of overlap
(M. Cherry 2001 unpublished report).
RESULTS AND DISCUSSION
Telemetry and Location of Den Sites

We identified 344 den sites for 199 unique grizzly bears from 197599
(Fig. 2). We excluded 36 den sites from 197587 that were within
the 1988 burn. Dens of 115 bears were located in only a single year,
dens of 55 bears in 2 years, dens of 11 in 3 years, and dens of 18
in 49 years. The sample included 170 den locations of adult
females, consisting of 61 with cubs-of-the-year (cubs,
hereafter), 26 with yearlings, 18 with 2-year-olds, 35 lone adult
females, and 30 of adult females of unknown reproductive status. The
sample also included 46 den locations of subadult females, 56 of subadult
males, and 72 of adult males. Mann-Whitney U-tests for differences
in individual attributes between each of these groups showed no significant
differences (Table 1); therefore, one general model was developed
to represent potential denning habitat for all segments of the population.
Model Application



Applying either of our definitions (i.e., the 80th or 100th percentile
models), potential denning habitat is abundant on the GNF. The 80th
and 100th percentile models identified 62% and 96%, respectively,
of the GNF as potential denning habitat (Table 3). Applying maps of
snowmobile-use areas to the 80th percentile model (Fig. 7) indicated
that 57% of the defined denning habitat in unrestricted areas was
potentially used by snowmobiles, whereas only 26% of all potential
denning habitat on the GNF was potentially vulnerable to snowmobile
use (Table 3). The GNF incorporated these results into a Biological
Assessment submitted to the U.S. Fish and Wildlife Service (M. Cherry,
2001, unpublished report).

Our results are consistent with field studies of denning
grizzly bears in the GYE and other locations. Linnell et al.s
(2000) review of literature on den site selection by brown bears suggested
that brown bears select den sites with stable snow conditions during
the denning period. For bears in the Rocky Mountain region, these
sites tend to be located at uppermiddle elevations with a wide
range of site aspects, often protected from the prevailing wind. Typical
dens found by Vroom et al. (1976) in Banff National Park, Canada,
were located in the upper subalpinetimberline areas on leeward
slopes. Mace and Waller (1997) in the Swan Range, Montana, USA, found
bears denning at higher elevations (>1,700 m) on steep slopes,
and more often on open or opentimbered sites than on heavily
forested sites. Judd et al. (1986) found that Yellowstone grizzlies
used a wide variety of sites for denning, but dens were most often
located on moderately steep, forested slopes with northerly exposures.
In an earlier study, Craighead and Craighead (1972), found most dens
in Yellowstone National Park, USA, on north-facing slopes at higher
elevations (2,4002,800 m) and often excavated under the roots
of a tree. In each of these studies, at least 90% of the dens observed
were excavated (Mace and Waller 1997, Linnell et al. 2000).
Our model, mapped at both the 80th and 100th percentiles,
performed well when tested with new, independent observations of dens
in the year 2000. There were no large-scale changes in the landscape
prior to the collection of the new data, and these new dens were well
distributed across the geographic range of previously observed dens.
Knick and Rotenberry (1998) caution that because the selection function
is based on a unimodal mean, any deviation, even if biologically positive,
creates larger Mahalanobis distances and lower similarity values.
They recommend this technique for mapping use areas when animals are
distributed optimally, the landscape is well-sampled to determine
the mean habitat vector, and distribution of the habitat variable
does not change (Knick and Rotenberry 1998). Although the model extends
beyond the current range of grizzly bears in the GYE, the topographic
and vegetative characteristics of unoccupied areas are similar to
occupied areas, and the extent of the model includes the historic
range of grizzly bears.


Although we agree with Judd et al. (1986), who concluded
that the availability of denning sites in the GYE is not limiting,
our model can be used by land managers to identify potential conflict
areas and thus minimize potential impacts of winter recreation and
other activities on denning bears. Although both potential denning
habitat maps included cells with a wide range of Mahalanobis distance
values, those cells contained values within the range of habitat characteristics
found at locations used by denning grizzly bears. We can only interpret
den sites with large Mahalanobis distance values as being less similar
to average den locations than sites with small values. However, the
mean vector of the multivariate distribution is not necessarily linked
to the effectiveness of a den in meeting physiological and other survival
needs. Both superior and inferior den sites may have combinations
of
variables that are similarly distant in multivariate space. Therefore,
choosing lower percentile values (e.g., 50th or 25th) as cut points
for defining potential denning habitat might allow managers to focus
on areas most like an average den location, but these decisions would
be biologically arbitrary. Using lower percentile values could exclude
sites where bears have denned successfully.
Although we can identify the geographic scope of overlap
between denning areas and human activities, we lack data to quantify
the degree of such disturbance on individuals and the population (Linnell
et al. 2000). We do not have data to suggest that females with cubs
are more or less susceptible to disturbance while in the den than
other segments of the population, but our data suggest that the places
they den are not different from those selected by the rest of the
population in the GYE. Further research addressing other aspects of
the impacts of snowmobiling disturbance to bears is needed. Bears,
particularly females with cubs, may have more restricted habitat requirements
and be more vulnerable to disturbance by snowmobiles immediately following
den emergence than during the denning period (Mace and Waller 1997).
Additional research is needed to identify spring habitats of post-emergent
bears.
ACKNOWLEDGMENTS
We thank R. Lawrence and A. Hansen of Montana State University for
the use of the digital vegetation map, without which the model extent
would be limited. M. Haroldson managed the radiolocation database.
D. Ouren provided valuable GIS expertise. M. Cherry (U.S. Forest Service)
contributed helpful input throughout the project. We especially thank
D. Knight (former IGBST leader) and B. Blanchard, retired members
of the IGBST, who shepherded the study team from 1973 to 1997. We
thank the pilots of the Gallatin Flying Service, Mountain Air Research,
Mustang Aviation, and Sky Aviation who flew radiotracking flights
and located dens. In particular, pilots D. Stradley, R. Stradley,
S. Monger, G. Lust, and R. Hyatt have flown for many years. Personnel
who were primarily responsible for bear captures include J. Jonkel,
K. Inberg, B. Schleyer, C. Dickinson, M. Lamoreux, M. Haroldson, M.
Ternent, M. Biel, K. Gunther, G. Holm, and K. Frey. V. Barnes, J.
Clark, S. Knick, K. Podruzny, and K. West provided thoughtful and
constructive reviews of the manuscript.
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Received: 28 May 2001.
Accepted: 28 February 2002.
Associate Editor: Barnes.
Ursus 13:1928 (2002)