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

�Forest Ecology and Management 544 (2023) 121147

Contents lists available at ScienceDirect

Forest Ecology and Management
journal homepage: www.elsevier.com/locate/foreco

Differential impacts of spruce beetle outbreaks on snowshoe hares and red
squirrels in the southern Rocky Mountains
Jacob S. Ivan a, *, Eric S. Newkirk a, Brian D. Gerber b
a
b

Colorado Parks and Wildlife, 317 W. Prospect Rd., Fort Collins, CO 80526, United States
University of Rhode Island, 1 Greenhouse Rd, Kingston, RI 02881, United States

A R T I C L E I N F O

A B S T R A C T

Keywords:
Colorado
Dendroctonus rufipennis
Density
Distance sampling
Lepus americanus
Tamiasciurus hudsonicus

Spruce beetles (Dendroctonus rufipennis) have impacted millions of acres of Engelmann spruce (Picea engelmannii)
– subalpine fir (Abies lasiocarpa) forest in North America over the past decade, resulting in the most extensive
outbreak in recorded history. This dramatic alteration of forest composition and structure has precipitated
numerous changes to forest ecology and ecosystem services. Among the least studied of these changes are im­
pacts to wild mammals, including snowshoe hares (Lepus americanus) and red squirrels (Tamiasciurus hudsonicus).
We sampled a chronosequence of spruce-fir stands along a gradient of ‘years elapsed since spruce beetle
outbreak’ (YSO) in order to estimate impacts to abundance of these two species in the southern Rocky Mountains.
Snowshoe hare abundance was not related to YSO, at least in the first decade post-outbreak. Instead, hare
abundance during this period was positively related to horizontal cover, especially that due to stem density of
small diameter subalpine fir. Notably, snowshoe hare abundance was negatively related to stem density of small
diameter Engelmann spruce, suggesting that elements of horizontal cover may not be uniformly beneficial to
hares. Hare abundance was also negatively related to ground cover, which could help explain the lack of rela­
tionship to YSO, assuming reduction in overstory canopy would lead to increases in ground cover. Red squirrel
abundance was negatively related to YSO and outbreak severity (i.e., basal area of large diameter dead trees).
This was likely due to diminished cone crops in impacted areas, which red squirrels cache and rely on heavily to
sustain them through the winter. Basal area of remaining large live fir trees was not related to squirrel abun­
dance, suggesting that regeneration of spruce and associated cone crops may be necessary for recovery of red
squirrels, which may take several decades.

1. Introduction
Fire and insect outbreaks are important drivers of composition,
structure, and ecological function of boreal and boreal-like subalpine
forests (Gauthier et al., 2015; Payette, 1992; Raffa et al., 2008; Veblen,
2000). Effects of each have intensified in recent decades as ongoing
climate change facilitates increased extent and severity of these natural
disturbances (Bentz et al., 2010; Gauthier et al., 2015; Hart et al., 2017;
Rocca et al., 2014; Whitman et al., 2019). Impacts are often complex and
heterogeneous, but generally each results in overstory reduction and a
shift in age distribution toward earlier seral stages (Payette, 1992;
Rodman et al., 2022; Veblen, 2000). However, the degree of succes­
sional reset varies. Insect outbreaks typically leave non-host species in
the overstory and immediately release understory due to opening of the
canopy (Campbell et al., 2019; Rodman et al., 2022). Wildfire, especially

stand-replacing fire, tends to remove most or all overstory and under­
story which resets the stand back to an initiation stage (Agee, 1993;
Schapira et al., 2021).
Timber harvest is also a significant driver of boreal and subalpine
forest composition, structure, and function (Gauthier et al., 2015;
Kuuluvainen and Gauthier, 2018). However the scale of disturbance
from timber harvest is generally much smaller than insect outbreaks or
fire (Smith, 2000). Depending on the silvicultural system, effects of
harvest can resemble those observed in association with insect outbreaks
(e.g., uneven-aged harvest strategies where overstory is moderately
reduced in small gaps, releasing advanced regeneration), or those
associated with fire (i.e., even-aged harvest where overstory is
completely removed and understory is substantially reduced; Graham
and Jain, 1998; Savilaakso et al., 2021). Stand-level modifications from
all 3 drivers alter the mosaic of forest stands that occur across the

* Corresponding author.
E-mail address: Jake.Ivan@state.co.us (J.S. Ivan).
https://doi.org/10.1016/j.foreco.2023.121147
Received 14 April 2023; Received in revised form 24 May 2023; Accepted 28 May 2023
Available online 26 June 2023
0378-1127/© 2023 Colorado Parks and Wildlife.
Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license
(http://creativecommons.org/licenses/by-nc-nd/4.0/).

�J.S. Ivan et al.

Forest Ecology and Management 544 (2023) 121147

landscape. Such changes to forest structure and landscape composition
can have cascading effects, including impacts to the suite of wildlife that
inhabits these forests.
Snowshoe hares (Lepus americanus) and red squirrels (Tamiasciurus
hudsonicus) are considered to be keystone species in the boreal and
boreal-like forest due largely to their role as primary prey for a number
of predators, including species of concern, such as Canada lynx (Lynx
canadensis; Armstrong et al., 2011; Hodges, 2000a, 2000b; Ivan and
Shenk, 2016; Rusch and Reeder, 1978). Throughout their range, snow­
shoe hare density is strongly, positively associated with horizontal, or
lateral cover (Nudds, 1977) within 0–2 m of the ground which affords
them both hiding cover and food (Hodges, 2000a, 2000b; Holbrook
et al., 2016; Ivan et al., 2014; Thomas et al., 2019). Consequently,
snowshoe hare abundance generally peaks in early to mid-successional
stands across their range (Hodges, 2000a, 2000b; Koehler, 1990), with
a potential second peak in old forests where canopy gaps maintain dense
understory patches (Hodson et al., 2011). Snowshoe hare occupancy or
abundance may also be tied to overstory canopy, or vertical cover,
although this relationship is weaker and not as ubiquitous (Hodson
et al., 2011; St-Laurent et al., 2008; Thomas et al., 2019).
Red squirrels require cone crops for food, which are cached in mid­
dens and provide a mechanism for winter survival (Armstrong et al.,
2011; Kemp and Keith, 1970; Koprowski, 2005; Rusch and Reeder,
1978). They also use tree canopies for denning and as escape cover from
predation (Armstrong et al., 2011; Yahner, 2003). As such, this species is
generally associated with late successional forests (Fisher and Wilkin­
son, 2005; Kelly and Hodges, 2020; Yahner, 2003), where occupancy
and abundance are positively related to tree size, basal area, and vertical
cover (Holloway and Malcolm, 2006; Kelly and Hodges, 2020; Zug­
meyer and Koprowski, 2009a).
Given the importance of these species in boreal and boreal-like sys­
tems, and their association with specific forest stages and structures,
understanding their response to major disturbance agents is of interest.
To date, researchers have considered wildfire and/or post-fire salvage
impacts to red squirrels or snowshoe hares compared to control stands
(Cheng et al., 2015; Hodges et al., 2009; Kelly and Hodges, 2020), im­
pacts to snowshoe hares resulting from timber harvest and/or site
preparation relative to mature stands (Ferron et al., 1998; Griffin and
Mills, 2007; Newbury and Simon, 2005; Potvin et al., 2005, 1999; StLaurent et al., 2008; Thompson et al., 1989; Thompson and Curran,
1995; Thornton et al., 2012), long-term trends in abundance of snow­
shoe hares and/or red squirrels in stands of fire-origin compared to those
originating from clear cutting (Allard-Duchêne et al., 2014; Hodson
et al., 2011), and short-term post-salvage impacts on snowshoe hare
occupancy in beetle-killed stands (Thomas et al., 2019). Most of these
projects focused on fire or timber harvest and occurred in Canada or
near the U.S.-Canadian border. Few studies, however, have focused
strictly at impacts of bark beetle outbreaks on snowshoe hares and red
squirrels, especially in the Southern Rockies. Here, these species occur at
the southern extent of their range in boreal-like subalpine forests
comprised of Engelmann spruce (Picea engelmannii) and subalpine fir
(Abies lasiocarpa), hereafter “spruce-fir”.
Spruce beetles (Dendroctonus rufipennis) have impacted millions of
acres of spruce-fir forest in North America over the past decade (Bentz
et al., 2009). Climate-mediated stimulants to beetle development and
population performance (Hansen and Bentz, 2003; Schebeck et al.,
2017) combined with drought and an extensive landscape with mature
forests (Fettig et al., 2007; Raffa et al., 2008) have optimally paired
spruce beetle vigor with host susceptibility, promoting an epidemic
(Bentz et al., 2010, 2009; DeRose et al., 2013; Temperli et al., 2015). In
the Southern Rockies alone, over 7,500 km2 have been impacted since
2000 (Colorado State Forest Service, 2021). Here, Ivan et al. (2018) and
Latif et al. (2020) found that red squirrel occupancy and abundance
declined within the first decade post outbreak in the most severely
impacted stands. However, snowshoe hare occupancy remained largely
unchanged, even in stands where overstory mortality exceeded 90%

(Ivan et al., 2018). Occupancy can be expected to coarsely track abun­
dance under certain conditions (Ellis et al., 2014; Linden et al., 2017),
but may be relatively insensitive to moderate changes in abundance
(Ellis et al., 2014). Thus, while Ivan et al. (2018) did not find a material
change in snowshoe hare occupancy due to beetle activity, important
changes in snowshoe hare density could have been masked by the coarse
nature of occupancy.
We measured snowshoe hare and red squirrel density along a
gradient of time since spruce beetle outbreak in the San Juan Mountains
of southwest Colorado. This region represents the southern tip of boreallike forest, where recent spruce beetle outbreaks have been widespread
and severe (Colorado State Forest Service, 2018), and where the two
focal species serve the important role as primary prey for the south­
ernmost population of threatened Canada lynx in North America
(Devineau et al., 2010). We predicted that snowshoe hare density would
increase at least moderately along the chronosequence owing to the
rapid release of advanced regeneration (i.e., seedlings and saplings that
were already established within the stand prior to the outbreak), and
potentially due to recruitment of new saplings in post-outbreak envi­
ronments. Given the expected transition of post-outbreak stands to fir
dominance, and the presumed affinity of snowshoe hares for fir under­
story based on propensity of local lynx to select the same (Squires et al.,
2020), we further predicted that snowshoe hare density would be
positively related to fir understory. We predicted that red squirrel den­
sity would decline precipitously as suggested by the previous occupancy
(Ivan et al., 2018) and density (Latif et al., 2020) estimates obtained
across similar sites during summer.
2. Material and methods
2.1. Study area and site selection
We sampled snowshoe hare and red squirrel density in the San Juan
Mountains of southwest Colorado (Fig. 1). The San Juans are an area of
significant topographic relief, which produces stark changes in vegeta­
tion assemblies over short distances. Sagebrush (Artemisia tridentata) or
oakbrush (Quercus gambelii) valleys (1,200–2,500 m) quickly give way to
montane forest slopes (1,700–2,700 m) dominated by Ponderosa pine
(Pinus ponderosa) and Douglas-fir (Pseudotsuga menziesii). Subalpine
forest, where sampling occurred for this study (2,700–3,500 m), extends
above the montane zone. This boreal-like system is made up largely of
spruce and fir, although large aspen (Populus tremuloides) patches are
common where fire and other disturbance have made it viable. Blue
spruce (Picea pungens), limber pine (Pinus flexilis), and bristlecone pine
(Pinus aristata) also occur in localized areas where conditions are
favorable. Lodgepole pine (Pinus contorta) is notably absent from the
study area. Extensive alpine zones cap the subalpine forest, with peaks
extending to 4200 m.
Mean July temperature on the study area in 2017 was 13.6◦ C; mean
January temperature was − 5.5◦ C. Mean total precipitation was 0.72 m,
most of which fell as snow during winter or came as rain during late
summer monsoons. In the subalpine zone where sampling occurred,
snow cover persisted from November through June, and March snow
depth averaged 1.6 m (National Oceanic and Atmospheric Administra­
tion, 2020).
From among the population of subalpine forest stands (as delineated
by USDA Forest Service R2VEG geodatabase) that were large enough to
accommodate a sampling grid (16.5 ha), we selected n = 15 of these to
serve as study sites. Sites were selected to control for aspect, elevation,
outbreak severity (all but the control sites sustained considerable impact
from beetles), management history (none), and fire history (&gt;100 years
since last fire). Sites varied in years since spruce beetle outbreak (YSO),
which started in the east-central portion of the study area (approxi­
mately 11 years prior to our sampling) and progressed outward (Fig. 1).
To ensure that we evenly sampled the gradient of time elapsed since
outbreak, we selected replicate sites from each of 4 categories: control
2

�J.S. Ivan et al.

Forest Ecology and Management 544 (2023) 121147

Fig. 1. Study area in southwest Colorado, USA where snowshoe hare and red squirrel densities were estimated at n = 15 study sites, during the 2016–17 winter.

sites to 2 years since outbreak (n = 4), 3–5 years since outbreak (n = 4),
6–8 years since outbreak (n = 4) and 9–11 years since outbreak (n = 3).
Within each category, one or two of the selected sites represented drier
spruce forest with little subalpine fir in the overstory or understory in
order to address our secondary question regarding the importance of fir
in structuring hare density. We intentionally chose sites with no history
of timber management or recent fire to avoid confounding effects of
those events with impacts of bark beetle outbreaks; no sites occurred in
designated wilderness areas. Additionally, all sites were screened for
accessibility and safety for winter sampling.

facilitate density estimation, a sample of 5 hares at each site were fitted
with a 20-g GPS/VHF collar (LiteTrack 20, Lotek, New Market, Ontario,
Canada). The average time elapsed between extracting hares from traps
and their release was 4 min. Hares that were re-captured on subsequent
trapping events were immediately released upon confirming their
identity either from the ear tag or collar frequency. Non-target species
were released immediately without handling; most found their way out
of the escape hatch in the corner of the trap once we made the
modification.
Traps and bait were removed immediately following the last day of
trapping to minimize attractive scent at the site. Collars were pro­
grammed to collect a location every hour for 7 days. Telemetry sampling
began 2 days after the trapping period ended to allow individuals to
return to their normal patterns of space use. Location data were
remotely downloaded from collars in late winter. Animal capture and
handling methods were approved by Colorado Parks and Wildlife ACUC
#00–2016.
Red squirrel sampling was completed during the 3 pre-baiting days.
Each morning as crews traveled the trapping grid to replenish bait, they
stopped at 9 traps, systematically spaced throughout the grid 150–250 m
apart, and listened for red squirrel calls for 6 min. Each observer played
a recorded red squirrel call from a phone twice during the 6-minute
period to elicit calls from resident individuals. We recorded the num­
ber of squirrels calling at each point along with the distance and di­
rection to each individual, which we estimated with laser range finders.
Red squirrel surveys were generally completed between one hour after
sunrise and 10 am.
In addition to sampling hares and squirrels at each site, we sampled
forest structure and vegetation during fall 2016. Following Squires et al.
(2020), we established 15 400-m2 (11.2 m radius) systematically placed

2.2. Sampling
All animal sampling occurred during winter 2016–17. At each of the
15 study sites, crews deployed a 7 × 12 grid (50 m spacing) of live traps
(Tomahawk Model 204, Tomahawk Live Trap, Hazelhurst, Wisconsin,
USA) as per Ivan et al. (2014). Traps were pre-baited (apple slice, rodent
chow, hay cube) for 3 days followed by 2 nights of trapping, 1 night off,
then 2 more nights of trapping. We attempted to adjust trapping sessions
to avoid heavy snowfall and predation. Traps were checked once per day
in early morning. Part way through the season, we modified all traps by
extracting a single “intersection” of mesh in the upper corner of each
trap. This allowed red squirrels and pine martens (Martes caurina) to
escape traps unharmed, which alleviated non-target capture mortality
that was observed early in the season.
Trapped hares were coaxed into a pillow case and immediately given
3 ml of pedialyte to alleviate acute capture-related stress. While physi­
cally restrained in the pillow case (no anesthesia), they were marked
with a unique ear tag (Style 1005–3, National Band &amp; Tag Company,
Newport, Kentucky, USA), weighed, and then released. Additionally, to
3

�J.S. Ivan et al.

Forest Ecology and Management 544 (2023) 121147

plots within each site. We quantified the diameter at breast height (dbh),
species, and live-dead status of each tree &gt; 7.6 cm dbh within the plot.
We fed these data to the United States Forest Service Forest Vegetation
Simulator (Dixon, 2002) to compute stem density, basal area, and can­
opy cover by species, size class, and live-dead status. We collected
percent ground cover at 5 1-m subplots equally spaced on the N-S axis of
the main plot. We measured stem density of understory trees (1–3 m in
height, any dbh) in a 1-m wide strip transect along the N-S axis as well.
We quantified horizontal cover from 0 to 2 m above ground by esti­
mating visual obstruction at 10 m in the 4 cardinal directions from plot
center (Nudds, 1977). We computed the mean of each vegetation
characteristic at the site level, and made these site-level means available
for use as covariates to explain heterogeneity in snowshoe hare or
squirrel density.

of comparison.
However, we were most interested in the potential impacts of spruce
beetle outbreaks on snowshoe hare abundance. We expected the pri­
mary impact to snowshoe hare density would be via an increase in
horizontal cover through time as mediated by loss of canopy with
cascading positive effects on release of advanced regeneration and/or
seedling establishment. Accordingly, we considered 3 main covariates of
interest: We fit a binary (2) “beetle” covariate (impacted or not) to
determine whether snowshoe hares exhibited any generalized response
to stands that had been impacted by beetles. To examine potential im­
pacts of outbreak dynamics, we also fit (3) ‘years elapsed since outbreak’
(YSO), and (4) severity of outbreak (percent canopy mortality) as po­
tential predictors of snowshoe hare abundance as well.
We also sought to test our hypothesis that the type of regenerating
horizontal cover may be important. That is, we fit models that included
(5) stem density of small diameter (7.6–12.5 cm dbh) live fir, and (6)
small diameter live spruce. We also considered (7) density of understory
(1–3 m in height) fir stems regardless of dbh, along with density of
understory spruce (8) as slightly different measures to assess the
importance of species composition in horizontal cover (correlation be­
tween small diameter stem density and understory was 0.54 for fir, 0.61
for spruce). Finally, we fit (9) percent ground cover and (10) percent
canopy cover as potential predictors because these are likely to be
mediated by beetle outbreaks and recent work suggests that they may be
associated with snowshoe hare abundance (Hodson et al., 2011; Kelly
and Hodges, 2020; Thomas et al., 2019).
All covariates were standardized before fitting to facilitate compar­
ison among them. Because our sample size was n = 15 sites, we opted to
restrict our analysis to univariate models. We did not fit additive com­
binations of any covariates, nor did we fit interaction terms. We made
inference by observing magnitude and direction of coefficients (β1; see
Appendix S1 for details) for the covariates of interest and noting
whether the effects were different from zero.

2.3. Analysis
2.3.1. Snowshoe hares
We estimated snowshoe hare density for each site based on the
‘Density with Telemetry’ approach described by Ivan et al. (2013a,
2013b). Under this approach, two parameters of interest are estimated
from the mark-recapture and telemetry data: individual (i) detection

probability (pi ) and proportion of time on grid (pi , the proportion of each
individual’s activity range over the sampling period that occurs within
the study site as defined by the minimum convex polygon encompassing
̂ is a derived parameter in which the raw count of
the traps). Density ( D)
∼

observed individuals is simultaneously inflated to account for imperfect
detection, and deflated as appropriate to reflect individuals whose ac­
tivity range only partly occurs on the sampling grid. We assumed that

both pi and pi were influenced by the ’distance to edge of the grid’ (DTE)
of the mean capture location for each individual, which is common with
such models (Ivan et al. 2013a, 2013b). We included a random effect to
account for unstructured heterogeneity in capture probability among
individuals (White and Cooch, 2017). We did not fit standard spatial
capture-recapture models (e.g., Borchers and Efford, 2008; Royle and
Young, 2008) to our data as both current and previous trapping expe­
riences in Colorado have indicated that the trap-revealed spatial infor­
mation on hare movement is strongly biased by the presence of bait in an
otherwise food-limited season (J.S. Ivan, unpublished data).
To simultaneously make inference on hare density at each site while
evaluating covariates as potential drivers of hare density, we cast the
‘Density with Telemetry’ model in a hierarchical Bayesian framework.
We based our analysis on Royle and Converse (2014), replacing their
spatial capture-recapture structure with that of Ivan et al. (2013a). With
this approach, parameter estimation was completed in a single model
and uncertainty in the site-level density estimation was propagated to
estimated covariate effects, albeit as predictors of latent abundance at
each site.
Models were fit using Markov Chain Monte Carlo (MCMC) methods
implemented in the software program JAGS (Plummer, 2017), accessed
from R (R Development Core Team, 2022) using the package ‘jagsui’
(Kellner and Meredith, 2022). We used weakly informative priors for all
parameters. We ran 3 chains with 20,000 iterations of burn-in, 100,000
iterations post burn-in, thinned by 4. We confirmed convergence for all
̂
parameters visually and using the criteria that the Gelman-Rubin ( R)
∼

2.3.2. Red squirrels
We estimated red squirrel density using a distance sampling frame­
work (Royle et al., 2004) adjusted for temporary emigration (Chandler
et al., 2011). This model allows for the likely possibility that squirrels
could move on and off plots between visits and/or refrain from calling
during a given survey, making them unavailable for detection. To
maintain consistency of approach, we implemented the analysis using a
Bayesian hierarchical distance sampling framework (Kery and Royle,
2016a p. 483–509), although similar inference can be obtained using
likelihood methods from package ‘unmarked’ (Fiske and Chandler,
2011). We chose to use 4 distance bins as a compromise between
providing enough bins to fit a smooth detection function, while also
ensuring a reasonable number of detections occurred in any given bin.
Initial analyses using package ‘unmarked’ indicated reasonable fits to
our data from both exponential and half normal curves; we elected to fit
the half normal.
We estimated the density (λ) of red squirrels at a given site (along
with latent abundance, see Appendix S2), the probability that an indi­
vidual was available for detection during a survey (ϕ), and parameters
related to detection probability. We had no reason to believe ϕ would be
strongly impacted by site, YSO, or severity. Furthermore, Chandler et al.
(2011) found that the model is robust to heterogeneity in ϕ. Therefore,
we specified ϕ to be constant in all models. As before, we assigned
weakly informative priors for all parameters and fit models using
MCMC. We ran 3 chains with 50,000 iterations of burn-in, 100,000 it­
erations post burn-in, thinned by 10 and confirmed convergence as
before. See Appendix S2 for a detailed model description. Model scripts
and data files are available at https://doi.org/10.5281/zenodo.
7830032.
As with snowshoe hares, we were most interested in whether red
squirrel density would exhibit a generalized response to beetle out­
breaks, or respond through time as overstory trees succumbed to beetle

statistic was ≤ 1.1 (Gelman and Hill, 2007). See Appendix S1 for a
detailed model description. Model scripts and data files are available at
https://doi.org/10.5281/zenodo.7830032.
We assessed 10 covariates as predictors of latent snowshoe hare
abundance (and by extension, density – we use the terms roughly
interchangeably hereafter) at each site. First, across the continental U.S.,
snowshoe hare density is widely known to be structured by horizontal
cover (i.e., visual obstruction 0–2 m above ground; Hodges, 2000a;
Holbrook et al., 2016; Ivan et al., 2014). Therefore, we fit a model where
latent abundance was predicted by (1) horizontal cover to serve as a base
4

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Forest Ecology and Management 544 (2023) 121147

attacks, or whether severity of the outbreak would be an important
factor. Accordingly, we fit models that related latent squirrel abundance
to a (1) beetle indicator variable, (2) YSO, and severity. We reasoned
that (3) stem density of dead trees and/or (4) basal area of dead trees
would be useful measures of the impacts of severity on squirrel density
(as opposed to canopy cover being the mechanism by which severity
would impact snowshoe hares) because these attributes should have
strong associations with seed availability (Allard-Duchêne et al., 2014;
Koprowski et al., 2005; Russell et al., 2010; Saab et al., 2014). Similar to
the hare analysis, we also sought to tease apart the effects of dead spruce
compared to live fir to determine whether surviving fir trees could serve
as a buffer against the loss of large spruce at a site. Accordingly, we fit
(5) basal area of large (&gt;22.9 cm dbh) dead spruce and 6) large live fir as
covariates on squirrel abundance at a site as well.
To accommodate our design in which squirrels were sampled at n = 9
subplots at each site, we pooled squirrel detections to the site level as is
customary in distance sampling (p. 400; Kery and Royle, 2016b). As
before, this left us with a modest sample size of n = 15 sites. Given this,
we fit standardized covariates on abundance one at a time and made
inference on their effect by observing the magnitude and direction of the
coefficients (θ1; see Appendix S2 for details). We did not fit additive
models, or models that included an interaction between covariates.

covariate (̂
β 1 = 0.31, 95% BCI = [-0.07, 0.72]). We also did not find
evidence that snowshoe hare abundance was related to YSO or severity
(Figs. 2, 3). Hare abundance was positively related to horizontal cover,
stem density of small diameter fir, and stem density of understory fir. It
was negatively related to stem density of small diameter spruce, ground
cover, and stem density of understory spruce, although the latter over­
lapped zero by a small margin. Snowshoe hare abundance was unrelated
to canopy cover (Fig. 3, See Appendix S3 for specific coefficient values).
3.2. Red squirrels
We recorded 45 red squirrel detections across 3 visits to 133 points (2
points were never visited due to unsafe terrain) at the 15 sites; we
recorded 0–7 detections per site. From the YSO model, the probability of
a squirrel being available for detection during a survey was 0.52 (95%
BCI = [0.18, 0.93]) and mean density ranged from 0.8 to 7.2 squirrels/
ha (x̄ = 3.2 squirrels/ha). Squirrel abundance was negatively associated
with the categorical beetle variable (̂
θ 1 = -0.83, 95% BCI = [-1.46,

− 0.18]) as well as YSO, and severity as measured by basal area of dead
trees (Figs. 2, 4). Red squirrel abundance was estimated to decline by
84% between control sites ( ̂
n = 18.9 squirrels per site) and those sites
impacted by beetles 11 years prior to sampling ( ̂
n = 3.06 squirrels per
site; Fig. 2). Additionally, basal area of dead spruce was related to
squirrel abundance in nearly identical fashion as basal area of dead trees
in general, but squirrel density was not related to basal area of live fir.
Severity measured as stem density of dead trees was unrelated to
squirrel density (Fig. 4, See Appendix S3 for specific coefficient values).

3. Results
3.1. Snowshoe hares
We captured 191 hares 390 times over 4,284 trap nights and collared
69 individuals. We captured 3–43 individuals per site (naïve density =
0.2–2.6 hares/ha). Traps at 6 sites were closed 1–3 nights due to pres­
ence of predators or heavy snow. Due to a software malfunction on the
collars, we only recovered data from 39 of the 69 collars deployed.
However, collar failure appeared arbitrary and affected each site.
Furthermore, Ivan et al. (2013b) found that sampling 25% of captured
individuals with telemetry devices produced density estimates that were
nearly as unbiased as those obtained via telemetering 50 or 100% of
captured individuals. Therefore, we were confident that use of our
telemetry data would still facilitate unbiased density estimates even
though we collected data on fewer individuals than we had planned.
We filtered telemetry locations to those with estimated dilution of
precision &lt; 3. Based on field testing prior to deployment, we found that
this level of filtering resulted in a fix rate of 65%, and that &gt; 95% of all
retained locations were within 25 m (i.e., half the distance between
traps) of truth (J. Ivan, unpublished data). We deemed this performance
acceptable given that we only needed collars to determine whether in­
dividuals were on or off the 16.5-ha grid. We obtained 3–125 fixes per
individual (x̄ = 47; some hares succumbed to predation shortly after
marking;) during the 1-week sampling period following trapping; pro­
portion of locations within the MCP of the trapping grid ranged from 0 to
0.84 (x̄ = 0.22).
Detection, time on grid, and density estimates varied slightly
(0–1.5% depending on the parameter) from model to model depending
on the estimated relationship with the habitat covariate of interest.
Using results from the YSO model for illustration, mean detection
probability (pi) was 0.53 (95% Bayesian Credible Inverval (BCI) = [0.39,

4. Discussion
4.1. Snowshoe hares
Snowshoe hare density in Colorado was largely unrelated to spruce
beetle outbreaks, at least in the first decade after impact. This result
mirrors patterns in summer occupancy observed by Ivan et al. (2018).
The lack of noticeable impact to hare density stands in stark contrast to
impacts from other large-scale forest disturbances such as fire and
clearcutting. Each of these disturbances tends to push hare densities to
near zero immediately afterward, with a prolonged recovery in which
density may not approach pre-disturbance levels for one to several de­
cades (Allard-Duchêne et al., 2014; Kelly and Hodges, 2020). This is
likely because fire and logging produce immediate, drastic impacts to all
layers of forest vegetation, including the understory, which directly af­
fects suitability of a stand to support snowshoe hares. However, bark
beetle outbreaks act only on larger trees while drastic and immediate
impacts to the understory are dampened or absent.
As expected, we found that snowshoe hare density was strongly,
positively related to horizontal cover, a pattern that has been docu­
mented repeatedly across snowshoe hare range (Hodges, 2000a, 2000b;
Holbrook et al., 2016; Ivan et al., 2014). However, we anticipated that
canopy reduction induced by beetle outbreaks would enhance hori­
zontal cover over time and we would therefore observe increasing hare
density following the outbreak. A linear regression of horizontal cover
vs. YSO indicated that horizontal cover did indeed increase after out­
breaks (βYSO = 1.1, SE = 0.05, p = 0.048), yet we did not observe a
concomitant increase in hare abundance. Notably, understory and stem
density of small diameter spruce and fir did not increase after outbreaks
as expected (regressions of these covariates on YSO were not significant,
p &gt; 0.25). Perhaps increases in horizontal cover after beetle outbreaks
were driven by increased ground cover (which was negatively related to
hare abundance) or increased downfall, but these components of hori­
zontal cover are not as important as conifer understory and small trees,
which did not respond as expected.
We found that stem density of small diameter fir and stem density of
understory fir were as strongly, positively associated with snowshoe

0.62]) and mean proportion of time on grid (pi ) was 0.21 (95% BCI =
[0.19, 0.23]). Both estimates varied positively with DTE as expected (̂
α1
= 0.43, 95% BCI = [0.11, 0.77]; (̂
α 3 = 0.74, 95% BCI = [0.61, 0.87];
Appendix S1). That is, individuals captured closer to the center of the
grid had a higher capture probability (presumably because they were
exposed to more traps within their activity range during trapping) and
were located within the MCP of the trapping grid more often once traps
and bait were removed. Density estimates ranged from 0.07 to 0.68
hares/ha (x̄ = 0.20 hares/ha).
Snowshoe hare abundance was unrelated to the binary ‘beetle’
∼

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Forest Ecology and Management 544 (2023) 121147

Fig. 2. Relationship between snowshoe hare (top panels) or red squirrel (bottom panels) abundance and (1) years elapsed since spruce beetle outbreak (left), or (2)
severity of the outbreak (right) in southwest Colorado, USA 2016–17. Severity was measured by percent canopy mortality for snowshoe hares and basal area of dead
trees (m2/ha) for red squirrels. Shaded areas indicate 95% Bayesian credible intervals.

hare abundance as the generalized aggregate horizontal cover variable.
Additionally, stem density of small diameter and understory spruce were
negatively associated with hare abundance. These relationships further
suggest that components of horizontal cover may not be homogeneous
in their importance to snowshoe hares. In fact, they indicate that fir
understory and stem density of small diameter fir may be primary
drivers of hare abundance in this system. This finding aligns with con­
current Canada lynx research in roughly the same study area. Squires
et al. (2020) reported that most individual lynx chose movement paths
that traversed areas with abundant subalpine fir in the subcanopy. Given
the strong association between Canada lynx and snowshoe hares
(Koehler and Aubry, 1994), it seems likely that selection patterns
exhibited by lynx are reflections of snowshoe hare distribution within
their home range.
If hare abundance in the Southern Rockies is indeed driven by small
diameter and understory fir, then perhaps our prediction of a positive
response to spruce beetle outbreaks is still possible, if not a few decades
away. In examining a 1940s spruce beetle outbreak in Colorado, Veblen
et al. (1991) found that regeneration of seedlings was slow. Even 50
years post outbreak, seedlings established after the outbreak were
generally &lt; 20 cm tall. Similarly, Baker and Veblen (1990), found evi­
dence that release and accelerated growth of advanced regeneration was
still ongoing 40 years following spruce beetle outbreaks in western

Colorado. Thus, snowshoe hares may yet exhibit a positive response to
beetle outbreaks, but such a response may take much longer to observe
than the 11-year chronosequence currently available.
Our finding that snowshoe hare density in Colorado was negatively
related to percent ground cover aligns with recent work in British
Columbia (Kelly and Hodges, 2020) and Yukon Territory (Thomas et al.,
2019). Similarly, Ivan et al. (2018) found bare ground to be positively
related to snowshoe hare occupancy in Colorado. Thomas et al. (2019)
suggested that avoidance of areas with heavy ground cover (i.e., food
resources) represented a tradeoff – forgoing areas rich in food resources
in favor of selecting areas with better cover attributes. In our system, the
fresh ground cover growing post-beetles was quite dense, and in most
places much taller than a hare. Thus, lack of cover seems like an insuf­
ficient explanation for avoidance. We suggest that very dense forbs, as
tall or taller than a hare, may impede locomotion. Alternatively, perhaps
dense ground cover is simply an indicator for lack of conifer regenera­
tion, or even serves as an impediment to it. We did not find a positive
relationship between snowshoe hare density and canopy cover in
contrast to recent work in boreal Canada (Hodson et al., 2011; Thomas
et al., 2019).

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Forest Ecology and Management 544 (2023) 121147

Fig. 3. Standardized coefficients ( ̂
β 1 ) for the relationship between snowshoe hare abundance and various outbreak and habitat-related variables, including 50%
(gray) and 95% (whiskers) Bayesian credible intervals. Small spruce or fir indicates stem density of live trees 7.6–12.5 cm. Spruce or fir understory indicates stem
density, regardless of dbh, of trees that were considered part of the understory (1–3 m in height).

Fig. 4. Standardized coefficients (̂
θ 1 ) for the relationship between red squirrel abundance and various outbreak and habitat-related variables, including 50% (gray)
and 95% (whiskers) Bayesian credible intervals. “L” indicates live trees; “D” indicates dead trees. Basal areas for large dead spruce and large live fir were for trees &gt;
23 cm dbh.

4.2. Red squirrels

Koprowski, 2009b). Additionally, our results broadly corroborate find­
ings regarding red squirrel response to mountain pine beetle outbreaks
in lodgepole pine systems, where red squirrel occupancy is also nega­
tively related to beetle outbreaks and their severity (Drever and Martin,
2007; Johnson et al., 2015; Saab et al., 2014).
In contrast to snowshoe hares, the near immediate, negative
response of red squirrels to bark beetle outbreaks is not unlike their
response to wildfire or clearcutting. Across boreal Canada from British
Columbia (Kelly and Hodges, 2020) to Ontario (Thompson et al., 1989)
to Quebec (Allard-Duchêne et al., 2014), red squirrel density is acutely
and negatively impacted by wildfire and/or clearcutting due to loss of
nesting cover, escape cover, and food resources (i.e. cone crops) asso­
ciated with the canopy layer of mature forests (Fisher and Wilkinson,
2005). We assume that loss of large trees and overstory canopy due to
bark beetle outbreaks operates similarly on red squirrel ecology.

The generally negative response of red squirrels to spruce beetle
outbreak, their decreased density with years since outbreak, and the
negative relationship between squirrel density and outbreak severity all
followed our a priori hypotheses. The response we observed as a func­
tion of YSO was nearly identical to that described by Latif et al. (2020;
Appendix S2) using similarly collected data over a larger area of Colo­
rado during summer. Furthermore, our results track severe declines
observed in Mt. Graham red squirrel abundance following beetle out­
breaks in high elevation spruce-fir forests in Arizona (Koprowski et al.,
2005). There, red squirrel occupancy declined in parallel with declines
in individual survival and seed counts, suggesting that the loss of cone
crops is indeed a major mechanism driving responses in demography
and other state variables (Koprowski et al., 2005; Zugmeyer and
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Our results add to the already substantial evidence that red squirrel
abundance declines precipitously after bark beetle outbreaks, and
furthermore is negatively related to the severity of the outbreak. Perhaps
the main outstanding question is the timeframe required for red squirrel
populations to regain their pre-outbreak status on a broad scale. We
hypothesized that this may partly depend on the extent of non-host
species (e.g., subalpine fir in our system) left in a given stand to pro­
vide food and cover for squirrels. However, we did not find evidence for
any “rescue effect” of large live fir trees relative to squirrels. Density was
not related to the basal area of live fir trees in a stand, only to the basal
area of dead spruce, or dead trees in general.
If spruce trees are indeed requisite for meaningful recovery of red
squirrels, realization of pre-beetle densities may take decades. Sapling
and pole-sized trees remaining after an outbreak may produce seeds, but
seed production from regenerating trees is unlikely to be significant for a
half century or more (Alexander and Shepperd, 1984). Thompson et al.
(1989) noted that it took 20–30 years post-harvest before squirrel
indices in clearcut stands in Ontario began to approach those of uncut
stands. In Quebec, red squirrel indices peaked 40 and 60 years postcutting and post-fire, respectively (Allard-Duchêne et al., 2014). Kelly
and Hodges (2020) observed post-disturbance indices of squirrel abun­
dance re-aligned with that of mature stands as early as a decade post-fire
in British Columbia, but our findings in drier forests of the Southern
Rockies have already exceeded that time frame.
Snowshoe hares are the primary prey of Canada lynx throughout
lynx range (Aubry et al., 2000; Koehler and Aubry, 1994; Mowat et al.,
2000); red squirrels are the main alternative prey, and can comprise a
significant portion of lynx diet when snowshoe hare abundance is
depressed (Brand et al., 1976; Ivan and Shenk, 2016; O’Donoghue et al.,
1998a, 1998b). Survival is generally not impacted by the switch from
hares to squirrels, but reproduction ceases (Mowat et al., 1996; O’Do­
noghue et al., 2001; Poole, 1994; Slough and Mowat, 1996). Thus, bark
beetle outbreaks have the potential to impact Canada lynx via cascading
effects on vegetation that in turn mediate prey abundance. Under­
standing and predicting such relationships is especially important at the
southern extent of lynx range where the species is naturally rare and
federally threatened (U.S. Fish and Wildlife Service, 2000). The wide­
spread, severe spruce beetle outbreak in the Southern Rockies has not, as
yet, had discernible impacts to either snowshoe hare occupancy (Ivan
et al. 2018) or density. Similarly, it does not appear to have significantly
impacted Canada lynx on a broad scale as lynx distribution in the area
remained constant before and after the outbreak (Squires et al., 2022),
and lynx continue to “actively use and select forests impacted by spruce
beetles” (Squires et al., 2020). These findings bode well for the
continued existence of Canada lynx at the extreme southern edge of their
range. However, snowshoe hare abundance fluctuates through time (e.
g., Ivan et al., 2014), and may be weakly cyclic in the southern portion of
lynx-hare range (Hodges, 2000a). Whether enough red squirrels remain
on the landscape to sustain lynx when hare numbers decline is an open
conservation question, at least in the near term.

snowshoe hares are the primary prey of Canada lynx in the Southern
Rockies and elsewhere, these findings are encouraging with respect to
lynx conservation in beetle impacted areas. Whether enough red squir­
rels persist to sustain lynx when snowshoe hare numbers naturally
fluctuate remains unknown.
CRediT authorship contribution statement
Jacob S. Ivan: Conceptualization, Methodology, Formal analysis,
Investigation, Writing – original draft, Writing – review &amp; editing,
Visualization, Supervision, Project administration, Funding acquisition.
Eric S. Newkirk: Conceptualization, Methodology, Software, Investi­
gation, Data curation, Writing – review &amp; editing. Brian D. Gerber:
Formal analysis, Writing – review &amp; editing.
Declaration of Competing Interest
The authors declare that they have no known competing financial
interests or personal relationships that could have appeared to influence
the work reported in this paper.
Data availability
Links to all data files and code are provided in the manuscript.
Acknowledgments
Funding: This work was supported by Colorado’s Species Conserva­
tion Trust Fund. Tim Hanks, Erin Sawa, Laurel Reisman, Anna Macho­
wicz, Mark Ratchford, Adam Fuest, Emily Latta, Mary Grant, Trevor
Besosa, Cara Thompson, Taelor Mullins, Grete Wilson-Henjum, Alex
Dyson, and Melissa Butinski conducted the difficult work of collecting
snowshoe hare, red squirrel, and vegetation data. Quresh Latif provided
analytical advice for the red squirrel analysis. USFS Rio Grande National
Forest provided housing and logistical support. Development of
Bayesian models presented here was aided by participation in a work­
shop ("Bayesian Models for Ecological Data") hosted by Colorado State
University and funded by NSF Award DEB 0003437455.
Appendix A. Supplementary material
Supplementary data to this article can be found online at https://doi.
org/10.1016/j.foreco.2023.121147.
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Further reading
Royle, J.A., Dorazio, R.M., 2012. Parameter-expanded data augmentation for Bayesian
analysis of capture-recapture models. J. Ornithol. 152, 521–537. https://doi.org/
10.1007/s10336-010-0619-4.

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