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                  <text>The research in this publication was partially or fully funded by Colorado Parks and Wildlife.

Dan Prenzlow, Director, Colorado Parks and Wildlife • Parks and Wildlife Commission: Marvin McDaniel, Chair • Carrie Besnette Hauser, Vice-Chair
Marie Haskett, Secretary • Taishya Adams • Betsy Blecha • Charles Garcia • Dallas May • Duke Phillips, IV • Luke B. Schafer • James Jay Tutchton • Eden Vardy

�The Journal of Wildlife Management 84(5):841–851; 2020; DOI: 10.1002/jwmg.21856

Featured Article

Wolverine Occupancy, Spatial Distribution,
and Monitoring Design
PAUL M. LUKACS,1 Wildlife Biology Program, Department of Ecosystem and Conservation Sciences, W.A. Franke College of Forestry and Conservation,
University of Montana, Missoula, MT 59812, USA
DIANE EVANS MACK, Idaho Department of Fish and Game, McCall Subregion, 555 Deinhard Lane, McCall, ID 83638, USA
ROBERT INMAN, Montana Fish, Wildlife and Parks, 1420 East 6th Ave., P.O. Box 200701, Helena, MT 59620, USA
JUSTIN A. GUDE, Montana Fish, Wildlife and Parks, 1420 East 6th Ave., P.O. Box 200701, Helena, MT 59620, USA
JACOB S. IVAN, Colorado Parks and Wildlife, 317 W. Prospect Rd., Fort Collins, CO 80526, USA
ROBERT P. LANKA,2 Wyoming Game and Fish Department (Retired), 5400 Bishop Blvd., Cheyenne, WY 82006, USA
JEFFREY C. LEWIS, Washington Department of Fish and Wildlife, 1111 Washington Street SE, Olympia, WA 98501, USA
ROBERT A. LONG, Woodland Park Zoo, 5500 Phinney Ave. N, Seattle, WA 98103, USA
REX SALLABANKS, Idaho Department of Fish and Game, 600 S. Walnut St., Boise, ID 83707, USA
ZACK WALKER, Wyoming Game and Fish Department, 260 Buena Vista, Lander, WY 82520, USA
STACY COURVILLE, Confederated Salish and Kootenai Tribe, P.O. Box 278, Pablo, MT 59855, USA
SCOTT JACKSON, USDA Forest Service, 26 Fort Missoula Road, Missoula, MT 59804, USA
RICK KAHN,3 National Park Service (Retired), NRSS Biological Resource Management Division, 1201 Oakridge Drive, Suite 200, Fort Collins,
CO 80525, USA
MICHAEL K. SCHWARTZ, National Genomics Center for Wildlife and Fish Conservation, USDA Forest Service, Rocky Mountain Research Station,
800 E. Beckwith Ave., Missoula, MT 59801, USA
STEPHEN C. TORBIT,4 U.S. Fish and Wildlife Service (Retired), Mountain Prairie Region, Lakewood, CO 80228, USA
JOHN S. WALLER, Glacier National Park, P.O. Box 128, West Glacier, MT 59936, USA
KATHLEEN CARROLL, Department of Ecology Montana State University, P.O. Box 173460, Bozeman, MT 59717‐3460, USA

ABSTRACT In the western United States, wolverines (Gulo gulo) typically occupy high‐elevation habitats.

Because wolverine populations occur in vast, remote areas across multiple states, biologists have an imperfect
understanding of this species' current distribution and population status. The historical extirpation of the
wolverine, a subsequent period of recovery, and the lack of a coordinated monitoring program in the western
United States to determine their current distribution further complicate understanding of their population
status. We sought to deﬁne the limits to the current distribution, identify potential gaps in distribution, and
provide a baseline dataset for future monitoring and analysis of factors contributing to changes in distribution
of wolverines across 4 western states. We used remotely triggered camera stations and hair snares to detect
wolverines across randomly selected 15‐km × 15‐km cells in Idaho, Montana, Washington, and Wyoming,
USA, during winters 2016 and 2017. We used spatial occupancy models to examine patterns in wolverine
distribution. We also examined the inﬂuence of proportion of the cell containing predicted wolverine habitat,
human‐modiﬁed land, and green vegetation, and area of the cluster of contiguous sampling cells. We sampled
183 (28.9%) of 633 cells that comprised a suspected wolverine range in these 4 states and we detected
wolverines in 59 (32.2%) of these 183 sampled cells. We estimated that 268 cells (42.3%; 95% CI = 182–347)
of the 633 cells were used by wolverines. Proportion of the cell containing modeled wolverine habitat was
weakly positively correlated with wolverine occupancy, but no other covariates examined were correlated with
wolverine occupancy. Occupancy rates (ψ) were highest in the Northern Continental Divide Ecosystem
(ψ range = 0.8–1), intermediate in the Cascades and Central Mountains of Idaho (ψ range = 0.4–0.6), and
lower in the Greater Yellowstone Ecosystem (ψ range = 0.1–0.3). We provide baseline data for future surveys
of wolverine along with a design and protocol to conduct those surveys. © 2020 The Authors. The Journal of
Wildlife Management published by Wiley Periodicals, Inc. on behalf of The Wildlife Society.
KEY WORDS camera trap, Idaho, Montana, occupancy, sampling rare species, Washington, wolverine, Wyoming.
Received: 28 May 2019; Accepted: 8 January 2020
This is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any
medium, provided the original work is properly cited.
1
E‐mail: paul.lukacs@umontana.edu
2
Current address: 1865 N 22nd St., Laramie, WY 82072, USA
3
Current address: 1921 Kona Dr., Fort Collins, CO 80528, USA
4
Current address: 299 Gardenia Court, Golden, CO 80401, USA
Lukacs et al. • Wolverine Distribution Monitoring

841

�The wolverine (Gulo gulo) is circumpolar and occupies
tundra, taiga, boreal, and alpine areas of the northern
hemisphere (Copeland and Whitman 2003). Population
densities and reproductive rates are typically low relative to
most carnivores (Persson et al. 2006, Royle et al. 2011). The
historical distribution of wolverines in western North
America extended southward into the mountainous areas of
Colorado and California, but wolverines were extirpated
from the contiguous United States by about 1920 (Aubry
et al. 2007, Schwartz et al. 2007). Since then, populations
from Canada have expanded southward reoccupying some
portion of their contiguous United States historical range
(Newby and McDougal 1964, Aubry et al. 2007, Moriarty
et al. 2009, Packila et al. 2017).
In the western contiguous United States, wolverines exist
as a set of sub‐populations, likely comprised of a few hundred individuals residing in high‐alpine areas that are distributed across a vast geography (Inman et al. 2013).
Density is low enough that large mountain ranges such as
the Tetons of western Wyoming have enough area for only
about 5 home ranges and even connected areas such as the
Pioneer, Beaverhead, Flint Creek, and Anaconda‐Pintler
mountain ranges in Montana may only have a small number
of individuals at a given time (Squires et al. 2007). Few, if
any, wolverines primarily reside in low elevation valleys in
the western United States because wolverines tend to select
higher elevations (Inman et al. 2012).
Because wolverines select high‐elevation habitats, most core
wolverine habitat in the western United States occurs on
public lands. Young wolverines, however, often disperse long
distances, including across valley bottoms, much of which is
privately owned and subject to industrial, road, and housing
development (Inman et al. 2012, Dilkina et al. 2016, Packila
et al. 2017). Although these movements can place individuals
at a greater risk to human‐caused mortality (e.g., vehicle
collision, incidental capture, poaching), there also is concern if
wolverines avoid increasingly developed areas that once provided connectivity among important habitat. Management
and conservation at the population scale include maintaining
connectivity among alpine wolverine habitat in the western
United States, restoring wolverines to areas of historical distribution, and monitoring the population (Inman et al. 2013).
The status of wolverines in the contiguous United States is
a subject of debate. The wolverine was petitioned to be listed
as an endangered species beginning in 1994, and related
legal deliberations are ongoing (U.S. Fish and Wildlife
Service [USFWS] 1995, 2010, 2017). Possible threats to the
population identiﬁed in listing petitions and evaluations have
included historical habitat loss, trapping, winter recreation,
climate change, logging, road and housing development,
seismic lines, mining, and wildland ﬁre (USFWS 2017).
Concerns about the eﬀect and the uncertainties of climate
change predictions on wolverine populations in the lower
48 states prompted a recognition that a better understanding
of the current wolverine distribution would assist with wolverine management and conservation. The natural reestablishment, continued presence over decades during which
harvest occurred, and recent expansion of the species,
842

however, may suggest some resilience to human activities
and landscape modiﬁcation (Newby and McDougal 1964,
Anderson and Aune 2008, Moriarty et al. 2009, Packila
et al. 2017). Relatively few data exist to provide a clear understanding of whether the population distribution or status,
or eﬀects of purported threats on distribution or demographics, place the species at risk. No population monitoring
program exists that is commensurate with the large scale at
which the wolverine population of the western United States
operates. Given this lack of monitoring, signiﬁcant changes
to the population distribution or status could occur and go
unnoticed for years. In addition, factors contributing to any
such changes would not be discernable.
Targeted monitoring is an integral component of eﬀective
wildlife management programs, serving to elucidate the status
of a resource to help decide the appropriate course of action,
evaluate the eﬀectiveness of management actions relative to
objectives, and provide feedback for learning to better achieve
management objectives (Nichols and Williams 2006, Lyons
et al. 2008). Because wolverines naturally occur at extremely
low densities over large areas, monitoring is a daunting logistical task made more diﬃcult by the species' use of remote,
rugged terrain. The advent of remote wildlife camera surveys
and availability of noninvasive genetic sampling have provided
valuable tools for survey eﬀorts; however, these eﬀorts are
often opportunistic, occur at small geographic extents relative
to the population, and employ diﬀering methodological approaches among survey areas that may inhibit interpretation
of data to achieve meaningful population‐level insights.
The ﬁeld of occupancy estimation provides a structure
for monitoring low‐density species such as wolverines
(MacKenzie et al. 2006). Occupancy models provide the
opportunity to make several forms of inference. First, occupancy models provide an average estimate of the probability that a site is occupied by the species of inference. The
occupancy estimate can be multiplied by the total number of
sites to provide an estimate of the number of occupied sites,
which gives a measure of distribution. Second, occupancy
can be modeled as a function of site‐speciﬁc covariates.
Relationships to landscape measures provide a means of
predicting occupancy of sites that have not been surveyed.
They also present a way to test hypotheses about relationships between the species of interest and those covariates.
Third, spatial occupancy models provide a means to use the
spatial arrangement of sites to help estimate occupancy
under the hypothesis that neighboring sites are likely to be
more similar than distant sites (Johnson et al. 2013).
Moreover, occupancy models ﬁt in a Bayesian framework
provide a straightforward approach to estimating the
probability of occurrence of a species within subsets of the
entire study area. Occupancy modeling has been applied to
wolverine populations in Canada and Alaska (Magoun et al.
2007, Gardner et al. 2010, Whittington et al. 2015, Ray
et al. 2018).
Our objectives were to develop a repeatable framework for
monitoring wolverines across the western United States and
to use that framework to establish a contemporary estimate of
wolverine distribution. Speciﬁcally, we deﬁned the current
The Journal of Wildlife Management • 84(5)

�distribution in Idaho, Montana, Washington, and Wyoming,
identiﬁed potential gaps in distribution where restoration
eﬀorts could be considered, established a system to monitor
changes over time in occupancy and genetic composition,
and provided a baseline dataset that will allow use of data
from future surveys to analyze factors that may inﬂuence
occupancy (e.g., climate, road density) and genetic changes.
We also attempted to extract additional insights from the
data, despite the design being optimized for exploring
spatial distribution and, therefore, not being ideal for testing
some of these subsequent hypotheses. First, we sought to
understand how amount of predicted habitat deﬁned by a
composite of 2 habitat models (Copeland et al. 2010, Inman
et al. 2013) inﬂuenced wolverine occurrence. We predicted
that occupancy would be higher in areas comprised of more
predicted habitat. Second, we wanted to understand the
relationship between wolverine occupancy and human development and disturbance. We predicted that wolverine
occupancy would be lower in areas with more human‐
modiﬁed areas. Third, we wanted to consider how vegetative productivity related to wolverine occupancy probability.
We predicted that wolverine occupancy would increase with
the normalized diﬀerence vegetation index (NDVI), which
provided an index of green vegetation. Finally, we sought to
understand how the size of predicted habitat patches inﬂuenced wolverine occupancy probability. We predicted
that larger patches of contiguous predicted habitat would
result in higher probability of wolverine occupancy.

STUDY AREA
We sampled areas dominated by predicted wolverine habitat
within the generally accepted current extent of resident,
breeding wolverine populations in the contiguous United States,
including the Rocky Mountains of Montana, Wyoming, and

Idaho and the Cascade Mountains in Washington (Fig. 1;
Aubry et al. 2007, Copeland et al. 2010, Inman et al. 2013).

METHODS
We overlaid a 15‐km × 15‐km grid across a composite model
of wolverine habitat comprised of persistent spring snow
(Copeland et al. 2010) and habitat (Inman et al. 2013; i.e.,
modeled wolverine habitat). This 225‐km2 grid size is
roughly equivalent to the size of resident female home ranges
of wolverines in the Greater Yellowstone Ecosystem (Inman
et al. 2012). We included cells that overlapped modeled
wolverine habitat by ≥50% in our sampling frame, and used
expert knowledge to add cells (e.g., &lt;50% habitat within the
cell but continuous with a larger block of habitat across adjacent cells) or delete cells (e.g., Olympic Peninsula with no
historical wolverine occurrence) from the frame. Our ﬁnal
sampling frame included 633 cells across the 4 states. We
used the generalized random tessellation stratiﬁed (GRTS)
sampling procedure (Stevens and Olsen 2004) implemented
in the R package spsurvey (Kincaid et al. 2017) to generate a
spatially balanced ranked list of the 633 cells. We deﬁned a
sample size of 185 based on a power analysis conducted prior
to the survey and selected the ﬁrst 185 ranked grid cells to
sample with remotely triggered cameras coordinated by ﬁeld
crews in each state (Table 1; Fig. 1).
Camera Stations
Our sampling occurred during 4 1‐month intervals beginning
1 December and ending 31 March. All sampling occurred during winter 2016–2017 in Washington, Idaho, and
Montana. Wyoming split sampling geographically and temporally, sampling the southern half of their cells in winter
2015–2016 and the remaining cells in winter 2016–2017
coincident with the other states. Prior to 1 December, we

Figure 1. Sampling frame and selected cells (yellow) for the wolverine survey across Washington, Idaho, Montana, and Wyoming, USA, 2016–2017. The
Pioneer Mountains are indicated in red and the Northern Continental Divide is indicated in blue as examples for small area estimation.
Lukacs et al. • Wolverine Distribution Monitoring

843

�Table 1. Summary statistics for a multi‐state wolverine camera trapping survey during winters of 2016 (WY only) and 2017.
State

Cells

Wolverine photo
detections

Survey cells with
detections

Supplemental cells
with detections

Cells with sex
identiﬁcationa

ID
MT
WA
WY
Total

59
48
26
52
185

10,165
7,114
3,622
1,740
22,641

21
23
9
6
59

1
24
4
2
31

14
32
4
3
53

a

Oﬃcial survey and supplemental cells.

placed 1 camera station in each 15‐km × 15‐km sampling
cell. All cameras were located within modeled habitat.
Beyond that, we established a ruleset that prioritized centrality within the cell, access throughout the winter, high‐
quality wolverine microsite, outside designated wilderness,
greater distance to adjacent stations, and greater distance
to roads and trails. Cameras that fell within wilderness
areas followed a Minimum Requirements Decision Guide
(MRGD) analysis approved by United States Forest Service
Regional Foresters in Regions 1, 2, 4, and 6 in 2017. No cells
sampled in 2015–2016 occurred in wilderness.
We deployed 2 types of camera stations (i.e., a camera plus
all associated sampling accessories). Both types of stations
consisted of a single camera (Reconyx PC800 Hyperﬁre,
Holman, WI, USA) cabled to a tree and pointed at a bait or
lure tree approximately 4–6 m away. Accessible stations,
those that could be reached throughout the winter, included
meat bait (roadkill game or beaver [Castor canadensis] carcasses) wired to the bait tree 1–1.5 m above winter snow
height, a long call scent lure for wolverine (Western States
Wolverine Working Group 2018), a lynx (Lynx canadensis)
lure (Western States Wolverine Working Group 2018), and
gun brushes (cylindrical, wire‐bristled, brushes) to snag hair
for DNA (Kendall and McKelvey 2008). We revisited accessible stations monthly to refresh bait and scent, collect
hair samples, collect photo data, replace camera batteries as
needed, and move components higher up the tree as snow
accumulated. Visits were approximately 30 days apart and
based on date of deployment. Inaccessible stations were
those too remote to visit in winter; we deployed these stations in late fall and did not revisit them until snow receded
the following summer. In place of bait, we used a scent
dispenser (R. A. Long, Woodland Park Zoo, Seattle, WA,
USA) that dripped liquid wolverine lure onto a cow femur
bone each day. We intentionally deployed inaccessible station components 2.5–3.5 m high in anticipation of snow
accumulation. We mounted cameras at inaccessible stations
sideways to orient the detection zone vertically rather than
horizontally to encompass the greater distance from ground
level to scent dispenser.
Camera settings (e.g., number of photos/trigger, quiet
period between triggers, sensor sensitivity) were standardized across the study area and did not diﬀer between
accessible and inaccessible stations (Western States
Wolverine Working Group 2018). We used 2 gun brush
arrays at all stations. A group of 4 brushes was centered
approximately 0.3 m below the bait or bone. We incorporated a second gun brush array approximately 0.4 m
844

above ground level on the bait or lure tree to increase the
likelihood of incidentally detecting Canada lynx. We secured gun brushes to the bait or lure tree with a corrugated
plastic collar (P. Figura, California Department of Fish
and Game, personal communication) or similar belt‐type
fastener (e.g., web belt). The state wildlife agencies in
Idaho, Montana, Washington, and Wyoming approved the
protocols used in this study.
Genetic Analyses
We used a decision tree (Western States Wolverine Working
Group 2018) to select hair samples from target and non‐
target carnivores to submit to the National Genomics Center
for Wildlife and Fish Conservation (NGC), Missoula,
Montana, USA. We extracted genomic DNA using the
QIAGEN Dneasy Blood and Tissue kit (Qiagen, Hilden,
Germany) using modiﬁcations for hair samples (Mills
et al. 2000). We ﬁrst identiﬁed samples to species using the
16srRNA region of mitochondrial DNA. We analyzed
wolverine‐positive samples with suﬃcient‐quality DNA for
haplotype (using the control region of mitochondrial DNA;
Wilson et al. 2000), sex (SRX/SRY analysis designed for
wolverine [Hedmark et al. 2004] with internal controls for
DNA quality), and individual (using 15 microsatellite loci;
Schwartz et al. 2009).
Supplemental Camera and DNA Stations
We encouraged other organizations to participate in the
survey by running independent camera stations. These
additional stations ranged from professional deployments
by agency and non‐governmental organization biologists
during the course of independent carnivore research, to
deployments by volunteers. Participants placed supplemental cameras in grid cells not previously selected by
GRTS procedure. Professional deployments generally followed the protocol established by the 4 states. Volunteer‐
run stations typically followed a less rigorous protocol that
allowed for a later deployment (Jan or Feb), diﬀerent
camera models, a shorter active period, and no DNA collection. Overall, 56 supplemental camera stations were deployed. We did not use supplemental wolverine detections
as part of the occupancy estimate because they were not
drawn from the GRTS sample. We mapped supplemental
detections in our results, in essence replacing a predicted
occupancy probability in an unsampled cell (0.0–1.0) with
known presence of the species in the grid cell (1.0).
Statistical Analysis
We imported photos collected from our sampling eﬀort
into CPW PhotoWarehouse (Ivan and Newkirk 2016) for
The Journal of Wildlife Management • 84(5)

�storage, organization, and to facilitate eﬃcient identiﬁcation
of species within them. Two independent observers in each
state classiﬁed each image to species. Observers ﬂagged
images when they did not agree, and a referee (usually the
project manager for the state) reviewed them to determine
identiﬁcation. We analyzed the wolverine photo data using
non‐spatial and spatial occupancy estimation methods
(MacKenzie et al. 2006, Johnson et al. 2013). We ﬁt
occupancy models to the sampled sites and imputed the
remaining sites that we did not sample (excluding supplemental camera data) using a Bayesian implementation of the
occupancy models (Kéry and Schaub 2012, Johnson
et al. 2013). For the purposes of analysis, we divided the
survey period into 4, 30‐day sampling occasions beginning
1 December of the survey year so that we then had a
4‐occasion encounter history for each camera site.
Based on a priori hypotheses developed by a panel of
wolverine experts and the survey design team prior to
implementation of the survey, we considered 4 covariates
for probability of occupancy (ψ) in the non‐spatial occupancy models. We included proportion of the cell containing predicted wolverine habitat, proportion of the cell
containing human‐modiﬁed land as deﬁned by Theobald
(2013), mean integrated NDVI (Pettorelli 2013), and size
of habitat block (count of contiguous cells of predicted
habitat). The habitat models used contain important
wolverine habitat correlates such as snow. We chose not to
include individual covariates contained in these models
because we already reduced the observed range of the covariates to areas where wolverines are likely to occupy.
Therefore, an analysis based on our monitoring design
would greatly reduce power to detect a relationship with
those covariates. We centered all covariates to have
mean = 0 and scaled to have variance = 1. We included the
covariates as a logit‐linear function of ψ. We used normally
distributed prior distributions for the intercept and slopes
of the logit‐linear model with mean = 0 and precision
(τ) = 0.001. We ﬁt a single model including all covariates
on ψ.
We considered 3 forms of the detection probability
parameter (p) in the non‐spatial occupancy model. We held
p constant, allowed p to vary by month, and included a
binary indicator of whether a camera site was in an accessible area (included bait and was resupplied monthly) or in
inaccessible area (included a scent dispenser and was not
revisited during the survey period). We used normally
distributed prior distributions for the intercept and slopes
of the logit‐linear model with mean = 0 and precision
(τ) = 0.001.
We recognize that wolverines are highly mobile and our
sampling frame did not align exactly with home ranges of
individuals. Thus, we violated the assumption of closure one
must make when estimating occupancy. Consequently, our
estimate of ψ should be interpreted as the probability that a
given cell (or camera station) was used by ≥1 wolverine
during the course of the survey, and p is the joint probability
that an individual was both available and detected during a
given occasion.
Lukacs et al. • Wolverine Distribution Monitoring

We ﬁt non‐spatial occupancy models in JAGS
(Plummer 2003). We ran each model for 10,000 iterations
of 3 chains with 5,000 iterations discarded as burn‐in. We
examined trace plots of chains and used the R̂ statistic to
test for Markov chain Monte Carlo (MCMC) chain
convergence. We used Bayesian P‐values to determine
adequacy of model ﬁt.
We ﬁt spatial occupancy models to account for variation in
occupancy probability across the study area that our covariates could not explain ( Johnson et al. 2013). We considered only predicted wolverine habitat as a covariate on ψ
for the spatial model and we held detection probability
constant based on results from the non‐spatial model. We
ﬁt the spatial occupancy model in R using the stocc package
(Johnson et al. 2013). We used a threshold of 20 km for
the spatial model and an independent conditional autoregressive function (Johnson et al. 2013). We ran the MCMC
chains for 100,000 iterations.
We estimated local scale, mountain range in our example,
occupancy and numbers of occupied cells to provide an
example of small area estimation from this survey. To estimate the probability that ≥1 cell in a set of cells was
occupied, we used the imputed occupancy of each cell in the
set from all of the MCMC replicates. We then summed
the number of times ≥1 cell was occupied and divided by
the number of MCMC replicates. To estimate the number
of occupied cells, we summed the number of occupied cells
in the set and divided by the number of MCMC replicates.
As an example of the probability of ≥1 occupied cell, we
used 7 cells covering the Pioneer Mountains (Fig. 1). As an
example of the number of occupied cells we used the
Northern Continental Divide Ecosystem (Fig. 1).
Finally, we examined our survey design to determine
what level of eﬀort (number of cells) is needed to achieve
varying levels of precision. To do so, we used our survey as
a baseline level of eﬀort. We then considered surveys
with 0.5, 0.75, 1.25, and 1.5 times as much eﬀort. We
sampled from our data with replacement to obtain a
sample corresponding to those levels of eﬀort. We then
calculated the mean coeﬃcient of variation on the estimated number of occupied sites (based on repeated
sampling at each eﬀort level 10 times) as a measure of
resulting precision.

RESULTS
Across all 4 states we obtained results from 183 of the 185
oﬃcial survey camera and DNA stations. One camera in
Idaho was stolen and 1 camera in Montana burned in a
wildﬁre. We detected wolverines in 59 of these 183
cells (34%; Table 1; Fig. 2). We detected wolverines at
50 stations with both cameras and DNA, 11 stations with
camera only, and in 1 cell with DNA only (we collected
genetic material from a track in route to checking the
camera station). We obtained 439,834 photos during the
survey, of which 22,641 photos contained wolverines. At
many stations, the bulk of the photos were from the same
wolverine repeatedly passing in front of the camera over a
845

�Figure 2. Wolverine detections across a 4‐state area, USA, in winters 2016 and 2017.

short time. Wolverines were detected via camera or DNA
at another 31 supplemental stations for 93 cells with
positive detections (Fig. 2).
We obtained 1,439 DNA samples and identiﬁed the
species of 81% of these samples (Table 2). We identiﬁed
(detected) wolverine from 240 DNA samples obtained
during the survey period, which included 202 samples
from 51 oﬃcial survey stations and 38 samples from
18 supplemental stations. Of these wolverine‐positive samples, 145 (60%) were of suﬃcient quality to determine sex
and to identify individual. Both males and females were
broadly distributed (Fig. 3). We identiﬁed 26 unique females and 24 unique males. Mitochondrial DNA analysis of
the control region showed regional structuring. All of the
wolverine samples in Montana, Wyoming, and Idaho were
haplotype Wilson A, the most abundant and widely occurring wolverine haplotype in North America (Wilson
et al. 2000, Schwartz et al. 2009, McKelvey et al. 2014).
In contrast, all the samples in Washington assigned to
haplotype Wilson C.

Table 2. Species detected from DNA analysis of hair samples obtained at
camera stations and number of detections for each species in the western
United States, 2016–2017.
Number of detections
Wolverine
Lynx
Fisher (Pekania pennanti)
Marten (Martes americana)
Red fox (Vulples vulpes)
Other species
DNA did not amplify
Total

846

Oﬃcial

Supplemental

Total

202
17
16
449
97
302
253
1,336

38
1
0
24
7
12
21
103

240
18
16
473
104
314
274
1,439

Occupancy models ﬁt the data well. The model converged
for all parameters (R̂ &lt; 1.002 for each parameter). There
was no evidence of lack of ﬁt for the model (Bayesian
P‐value = 0.568). Correlation among covariates was low
(≤0.21) between all pairs of covariates.
We estimated detection probability per month to be 0.47
(95% CI = 0.39–0.54) in the non‐spatial model. The overall
probability of a wolverine being detected at least once at a
site that was occupied during the survey period was 0.92.
There was evidence of lower detection probability in
December, but the overall high detection rate did not result
in any change in estimated occupancy with diﬀerent forms
of the detection model. There was no evidence of a diﬀerence in detection for sites that were run with the accessible
versus inaccessible protocols (β = −0.19 ± 0.56 [SE]).
Mean occupancy was 0.33 (95% CI = 0.27–0.39) in the
non‐spatial model. Proportion of predicted habitat in the
cell was weakly positively associated with occupancy
(β = 0.26 ± 0.18 [SE]; Table 3). All of the other covariates
(% human‐modiﬁed, NDVI, and patch size) showed no
relationship with occupancy. Based on this occupancy estimate, the expected number of cells used by wolverines
during the survey period was 208 (95% CI = 169–249).
When the supplemental cells were included, the estimated
number of occupied cells was 231 (95% CI = 194–271).
The spatial occupancy model produced a detection probability estimate of 0.42 ± 0.03, which was slightly lower
than the non‐spatial model. Despite the small reduction, the
chance of detecting a wolverine at least once in an occupied
cell (0.89) remained high.
The spatial occupancy model allowed patterns in wolverine
occupancy across space to emerge (Fig. 4). Occupancy probability was highest in the Northern Continental
Divide Ecosystem (ψ per cell range = 0.8–1), intermediate in
The Journal of Wildlife Management • 84(5)

�Figure 3. Sex of wolverines detected by DNA at generalized random tessellation stratiﬁed‐selected and supplemental stations in Idaho, Montana,
Washington, and Wyoming, USA, winters 2016 and 2017.

the Cascades and Central Mountains of Idaho (ψ range =
0.4–0.6), and lower in the Greater Yellowstone Ecosystem
(ψ range = 0.1–0.3). Similarly, by state, Montana had
the highest occupancy probability (ψ = 0.6), Idaho and
Washington were intermediate (ψ = ~0.4), and Wyoming
was lower (ψ = 0.15; Table 4). Uncertainty at the individual
cell level was high, but overall inferences to patterns in occupancy were strong. Coeﬃcients of variation ranged from
0.15 for the entire study to 0.1 to 0.3 for the state‐level
estimates.
We estimated local‐scale occupancy as an example of small
area estimation from this study. In the Pioneer Mountains,
where 1 cell was sampled, the estimated probability of ≥1
cell out of the 7 in the mountain range being occupied
was 0.06 ± 0.2 (SD). In the Northern Continental Divide
Table 3. Posterior distribution summaries for parameters from non‐spatial
occupancy models for wolverines in Idaho, Montana, Washington, and
Wyoming in 2016 and 2017.
Quantile
Parametera
Detection
Intercept
Bait or scent
Occupancy
Intercept
Habitat
Human
NDVI
Cluster
a

x̄

SD

2.5

25

50

0.47 0.04 0.39 0.44 0.47
−0.20 0.56 −1.28 −0.58 −0.21
−0.73
0.26
0.16
0.17
−0.02

0.18
0.18
0.18
0.18
0.18

74
0.50
0.19

97.5
0.55
0.89

−1.08 −0.85 −0.73 −0.62 −0.39
−0.09 0.13 0.25 0.38 0.62
−0.18 0.04 0.16 0.28 0.54
−0.18 0.05 0.17 0.28 0.52
−0.37 −0.14 −0.02 0.09 0.33

Habitat is the proportion of predicted wolverine habitat in the cell,
human is the proportion of human‐modiﬁed land in the cell, NDVI is
the normalized diﬀerence vegetation index, and cluster is the count of
contiguous cells of predicted habitat.

Lukacs et al. • Wolverine Distribution Monitoring

Ecosystem, where 18 of the 66 cells covering the ecosystem
were sampled, the estimated number of occupied cells was
59 ± 8 (SD).
The bootstrap analysis of survey eﬀort showed precision
increased as a function of the square root of sample size as
expected by statistical theory (Fig. 5). A survey with half the
number of cells would produce a coeﬃcient of variation of
0.16 and 1.5 times the eﬀort reduced the coeﬃcient
of variation to 0.08. The lack of evidence of a diﬀerence
between bait and scent dispensers also provides guidance on
reducing survey costs because whichever method costs less
could be used.

DISCUSSION
We present an evaluation of the distribution of wolverines
in a 4‐state region of the western United States for the ﬁrst
time since historical extirpation nearly a century ago. The
results provide a population‐scale evaluation of occupancy
for wolverines in the western United States, conﬁrming
much of what experts in local areas suspected or knew
about wolverine distribution but had never studied at this
large scale. Moreover, the results demonstrate expansion
into areas such as the southern Cascade Mountains
in Washington and Wind River Range in Wyoming as
compared to records of wolverines from 1995–2005 presented by Aubry et al. (2007). The survey results provide a
strong baseline for future work and a quantitative assessment to compare future change in wolverine distribution.
We have identiﬁed areas of potential wolverine habitat
with low occupancy, such as northern Idaho, the Wyoming
Range, and Big Horn Mountains. We also demonstrated
that all of the large areas of predicted wolverine habitat
contain wolverines.
847

�Figure 4. Results from a spatial occupancy model for wolverine occupancy in Idaho, Montana, Washington, and Wyoming, USA, 2016 and 2017. The
color ramp represents probability of occupancy on plot (A) and standard error on plot (B). Cells with detected wolverines are shown as an occupancy = 1 and
standard error = 0.

Table 4. Wolverine occupancy model estimates, lower credible limit
(LCL), and upper credible limit (LCL) by state from the spatial occupancy
model. Estimates were based on the total number of available sampling
cells within each of the 4 states, 2016–2017.
Occupied cells

Occupancy probability

State

Cells

Estimate

LCL

UCL

Estimate

LCL

UCL

ID
MT
WA
WY
Total

189
194
93
157
633

87
117
40
24
268

65
85
21
11
182

112
132
62
41
347

0.46
0.60
0.43
0.15
0.42

0.34
0.44
0.23
0.07
0.29

0.59
0.68
0.67
0.26
0.55

848

Our results demonstrate that wolverine occupancy varies
across ecosystems in the western United States. The
Northern Continental Divide Ecosystem in Montana
showed the highest predicted occupancy, with nearly complete use of 15‐km × 15‐km cells in the Glacier National
Park and Bob Marshall Wilderness complex. Central Idaho
and the Cascade Mountains in Washington showed an intermediate occupancy rate. The Greater Yellowstone
Ecosystem had a lower occupancy, with the rate further
decreasing to the south (Wyoming Range) and east
(Big Horn Mountains). The spatial variation in occupancy
opens several questions about why wolverines may be more
The Journal of Wildlife Management • 84(5)

�Figure 5. Resulting coeﬃcient of variation on the estimated number of
occupied sites for wolverine monitoring as a function of eﬀort in Idaho,
Montana, Washington, and Wyoming, USA, 2016 and 2017. Survey
eﬀort = 1 represents the study reported in this paper (183 camera stations).
Eﬀort is represented as a proportion of that survey.

prevalent in northern Montana than southern Wyoming.
Hypotheses for these diﬀerences include slow recovery from
population extirpation in the nineteenth century starting
from the north where they are more abundant and moving
south and habitat diﬀerences allowing for denser populations in the north (Anderson and Aune 2008). In addition, it is possible that we sampled some areas that are not
suitable wolverine habitat in the Greater Yellowstone
Ecosystem. Predicted habitat between the 2 models that
were combined to create our sampling frame diverged most
in the Greater Yellowstone Ecosystem, speciﬁcally the interior of Yellowstone National Park. Historical records
(Aubry et al. 2007) and recent surveys (Murphy et al. 2011)
have consistently indicated the interior of Yellowstone Park
does not have resident wolverines despite residents nearby
for decades. Sampling of areas that were incorrectly predicted as habitat could have produced lower estimates in
that ecosystem.
We estimated occupancy for wolverines in winter. At
other times of year, wolverines may use a broader area than
they do during the winter. For example, wolverines tended
to travel greater distances in spring and summer in northwestern Montana (Hornocker and Hash 1981). Copeland
et al. (2007) reported that wolverines in Idaho used higher
elevations in summer than in the winter. Their results
suggest that our sampling frame would encompass much of
the summer and winter habitat. Finally, absence of bears
(Ursus spp.) in winter presents a major advantage for winter
surveys. Bears tend to consume baits quickly when they are
active.
We examined the relationship of several covariates to
wolverine occupancy. Testing habitat relationships was a
secondary objective of this study; therefore, we designed our
sampling to optimize precision for of an overall occupancy
estimate, not to detect covariate relationships. The study
design predisposed us to have low power to detect covariate
Lukacs et al. • Wolverine Distribution Monitoring

relationships. We found no association with vegetative
productivity, human disturbance, and habitat patch size.
Our sampling design may have limited our ability to detect
those eﬀects because the sampling frame was based oﬀ
models of predicted wolverine habitat. The models placed
the sampling frame in areas with higher elevations, less
human disturbance, and more forest than the 4 states surveyed contain in general. The restricted range of covariate
values observed may have had more inﬂuence on the lack of
importance than any other reason. In addition, the scale of
the sampling cell, 15 km × 15 km, also averages over a large
area of variable conditions; therefore, single values of covariates at that scale may show dampened relationships as
compared to ﬁne‐scale resource selection.
We provided a survey protocol for future surveys. The
protocol is statistically rigorous and viable in rugged, winter
ﬁeld conditions. We established a sampling frame based on
prior knowledge of wolverine habitat use from den locations
(Copeland et al. 2010), telemetry studies (Inman et al. 2012),
and expert opinion. We demonstrated that cells selected
using a probability sampling scheme can be surveyed even in
remote wilderness areas. The camera and lure protocol we
used was very eﬀective for detecting wolverines given they
were present.
The Bayesian analyses used for this survey provide a direct
method for small area estimation and the broader scale results presented here. The analysis provided a posterior distribution for each cell in the survey area. These posterior
distributions can be used to estimate the proportion of a
given area occupied by wolverines or the probability that any
given set of cells is occupied by wolverines. For example, if
managers in a speciﬁc national forest wanted to know the
probability of ≥1 wolverine occurring on that forest, the
posterior distributions for each cell in the national forest
could be combined to answer the question. If more certainty
is required about the extent of wolverine occupancy in a
given area than would be provided by a random selection of
cells across the larger frame, certain areas can be sampled
more intensively. For example, we estimated a 0.06 probability that a wolverine used the Pioneer Mountains in
Montana during the survey, based on 1 sampled cell in
this local area, and a wolverine was detected in this
mountain range by a supplemental camera station shortly
after the survey period ended. This was not totally unexpected, however, because the uncertainty in this estimate
(0.2) was high and could be reduced with more intensive
sampling. As long as the more intensive local sampling
is randomized in coordination with selection of the broader
study design, estimates and models of occupancy and
detection probability can proceed in the same analysis.
This wolverine survey provides a demonstration of collaboration at the species‐distribution scale for proactive
conservation. Representatives from multiple state wildlife
agencies, the Forest Service, National Park Service,
USFWS, Confederated Salish and Kootenai Tribes, non‐
governmental agencies, and 2 universities worked together
from project development to implementation to analysis.
Wolverine populations function at a scale far larger than
849

�that for which any 1 entity has jurisdiction or could aﬀord to
operate (Ellis et al. 2014). Multi‐agency collaboration provided a strong result and created a framework for future
monitoring. We suggest that this collaborative process is
useful for other species.
This occupancy survey and modeling approach has been
designed to feed directly into a wolverine conservation
program focused on maintaining the distribution of wolverines throughout suitable habitat. The occupancy models
resulting from this survey can be used to generate maps of
the estimated area occupied by wolverines at large and small
scales, provide quantitative and spatial predictions of the
eﬀects of management actions on wolverine occupancy that
can be used to inform actions by state and federal decision
makers, and provide a framework for repeated monitoring
to evaluate the eﬀects of management in the future, after
decisions are implemented. For this survey and analysis, we
considered the eﬀects of predicted habitat (from existing
models), human development, vegetation productivity, and
habitat patch sizes on wolverine occupancy. Future iterations and analyses can also estimate the eﬀects of incidental
and regulated harvest, translocations, habitat conservation
focused on maintaining connectivity among high‐elevation
habitats, and even loss of snowpack due to climate change
on wolverine occupancy. Although it will not provide a
direct test of the eﬀects of climate change on wolverine
populations, our work has shown that we can assess changes
in occupancy in relation to changes in the number and
distribution of occupied cells within our study area. These
additional factors represent primary uncertainties about the
eﬀects of human actions on wolverine distribution across
large spatial scales into the future. Therefore, this occupancy
modeling approach could be used in the design of an
adaptive management program whereby uncertainty in the
deﬁnition of suitable wolverine habitat and eﬀects of management on wolverine occupancy can be reduced over time.
We can explore the utility of such a program via expected
value‐of‐information analyses, estimating the extent to
which the conservation of wolverines can be improved by
implementation of adaptive management to reduce uncertainty (Runge et al. 2011) and design future implementations of this survey framework for this purpose.
Because of the large‐scale nature of this survey eﬀort and
the partnerships built to implement it, we have an unprecedented opportunity to work on wolverine conservation across their range in the contiguous United States
(and perhaps beyond), with coordination among all the
government agencies with jurisdictional responsibilities.

MANAGEMENT IMPLICATIONS
Wildlife managers now have a strong baseline estimate of
wolverine occupancy in a 4‐state rejoin at the southern
edge of wolverine distribution. The information provides
a starting point to evaluate changes through time. The
survey design also provides a strong foundation for future
eﬀorts to understand wolverine distribution throughout
the region.
850

ACKNOWLEDGMENTS
We thank the ﬁeld technicians and volunteers who helped
collect the data including B. Adkins, A. Arnold,
A. Blackwood, B. Blount, S. Bodle, B. Bosworth,
M. Feiger, C. Klingler, C. McCullough, L. Ferguson,
K. Nelson, P. Ott, I. Smith, K. Voll, J. Wagner,
B. Wagner, A. Welander, J. Lex, W. Cole, V. Villalobos,
D. Madel, M. Davidson, S. Clairmont, R. Adams,
A. Moran, K. Wyant, P. Adams, P. Alexander, M. Ruby,
R. Yates, L. Strong, A. Jacobs, A. Anderson, C. Waters,
J. Swanson, L. Breidinger, R. Vinkey, E. Graham,
S. Tomson, L. Lamar, A. Lieberg, M. Mayernik,
P. Shanley, L. Bate, G. Byrd, L. Byrd, K. Chickering,
J. George, J. Griswold, K. Kendall, K. Lynch, T. Malish,
C. Menzel, P. Metzmaker, D. Moore, B. Polley,
J. Rossman, D. Savage, G. Sherman, D. Voerman,
I. Wheeler, A. Zavadil, J. Akins, P. Debryn,
R. Christopherson, S. Fitkin, D. Gaylord, C. Gaylord,
J. Heinlen, M. Marsh, P. MacKay, S. Paz, J. Plumage,
P. Reed, J. Rohrer, D. Volsen, A. Woodrow,
F. Yarborough, D. Youkey, C. Atkinson, S. Halman,
R. Kindermann, S. Ryder, and L. Tafelmeyer. N. Bjornlie
implemented the project in Wyoming. Logistical support
was provide by the Beaverhead‐Deerlodge, Bitterroot,
Custer‐Gallatin, Flathead, Kootenai, Lewis and Clark‐
Helena, Lolo, Mt. Baker‐Snoqualmie, Okanogan‐
Wenatchee, Sawtooth, Boise, Payette, Salmon‐Challis,
Nez Perce‐Clearwater, Panhandle, Caribou‐Targhee,
Okanogan, Bridger‐Teton, Shoshoni and Bighorn
National Forests; the Eastern Shoshoni and Northern
Arapaho Tribes; Glacier, North Cascades, Grand Teton,
and Yellowstone National Parks. We also thank the many
individuals and organizations that volunteered to run
supplemental stations including L. Lamar and Swan
Valley Connections, E. Graham and Blackfoot Challenge,
T. Walrath and Montana Trappers Association,
P. Hough and Friends of Scotsman Peak, K. Paul and
Wolverine Watchers, S. Gehman and Wild Things
Unlimited, Idaho Conservation League volunteers,
S. Bustinger, D. Heﬃngton, C. Fager, V. Boccadori,
D. Boyd, J. Kolbe, T. Smucker, T. Their, C. Hericks,
D. Scharf, J. Brooks, C. Gower, A. Nelson,
J. Brooks, R. LeBlanc, B. Cunningham. This work was
funded by the USFWS through a Competitive State
Wildlife Grant, Great Northern Landscape Conservation
Cooperative grant, and Mountain–Prairie Regional
Science Grant; the National Fish and Wildlife
Foundation; the United States Forest Service Carnivore
Program; and the state ﬁsh and wildlife agencies that
spearheaded the work. We thank the Western Association
of Fish and Wildlife Agencies for administering grants.

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Associate Editor: Kerry Nicholson.
851

�</text>
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          <name>Title</name>
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              <text>Wolverine occupancy, spatial distribution, and monitoring design</text>
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              <text>&lt;span&gt;In the western United States, wolverines (&lt;/span&gt;&lt;i&gt;Gulo gulo&lt;/i&gt;&lt;span&gt;) typically occupy high-elevation habitats. Because wolverine populations occur in vast, remote areas across multiple states, biologists have an imperfect understanding of this species' current distribution and population status. The historical extirpation of the wolverine, a subsequent period of recovery, and the lack of a coordinated monitoring program in the western United States to determine their current distribution further complicate understanding of their population status. We sought to define the limits to the current distribution, identify potential gaps in distribution, and provide a baseline dataset for future monitoring and analysis of factors contributing to changes in distribution of wolverines across 4 western states. We used remotely triggered camera stations and hair snares to detect wolverines across randomly selected 15-km × 15-km cells in Idaho, Montana, Washington, and Wyoming, USA, during winters 2016 and 2017. We used spatial occupancy models to examine patterns in wolverine distribution. We also examined the influence of proportion of the cell containing predicted wolverine habitat, human-modified land, and green vegetation, and area of the cluster of contiguous sampling cells. We sampled 183 (28.9%) of 633 cells that comprised a suspected wolverine range in these 4 states and we detected wolverines in 59 (32.2%) of these 183 sampled cells. We estimated that 268 cells (42.3%; 95% CI = 182–347) of the 633 cells were used by wolverines. Proportion of the cell containing modeled wolverine habitat was weakly positively correlated with wolverine occupancy, but no other covariates examined were correlated with wolverine occupancy. Occupancy rates (ψ) were highest in the Northern Continental Divide Ecosystem (ψ range = 0.8–1), intermediate in the Cascades and Central Mountains of Idaho (ψ range = 0.4–0.6), and lower in the Greater Yellowstone Ecosystem (ψ range = 0.1–0.3). We provide baseline data for future surveys of wolverine along with a design and protocol to conduct those surveys. &lt;/span&gt;</text>
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              <text>Lukacs, P. M., D. Evans Mack, R. Inman, J. A. Gude, J. S. Ivan, R. P. Lanka, J. C. Lewis, R. A. Long, R. Sallabanks, Z. Walker, S. Courville, S. Jackson, R. Kahn, M. K. Schwartz, S. C. Torbit, J. S. Waller, and K. Carroll. 2020. Wolverine occupancy, spatial distribution, and monitoring design. The Journal of Wildlife Management 84:841–851. &lt;a href="https://doi.org/10.1002/jwmg.21856" target="_blank" rel="noreferrer noopener"&gt;https://doi.org/10.1002/jwmg.21856&lt;/a&gt;</text>
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              <text>Lukacs, Paul M.</text>
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              <text>Ivan, Jacob S.</text>
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              <text>Lanka, Robert P.</text>
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              <text>Carroll, Kathleen</text>
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              <text>Camera trap</text>
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              <text>Idaho</text>
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              <text>Montana</text>
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              <text>&lt;a href="https://creativecommons.org/licenses/by-nc/4.0/" target="_blank" rel="noreferrer noopener"&gt;Attribution-NonCommercial 4.0 International (CC BY-NC 4.0)&lt;/a&gt;</text>
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              <text>The Journal of Wildlife Management</text>
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