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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

�Forest Ecology and Management 475 (2020) 118400

Contents lists available at ScienceDirect

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

A specialized forest carnivore navigates landscape-level disturbance: Canada
lynx in spruce-beetle impacted forests

T

⁎

John R. Squiresa, , Joseph D. Holbrookb, Lucretia E. Olsona, Jacob S. Ivanc, Randal W. Ghormleyd,
Rick L. Lawrencee
a

USDA Forest Service, Rocky Mountain Research Station, Missoula, MT, USA
Haub School of Environment and Natural Resources, Department of Zoology and Physiology, University of Wyoming, Laramie, WY, USA
c
Colorado Parks and Wildlife, Fort Collins, CO, USA
d
Rio Grande National Forest (retired), Monte Vista, CO, USA
e
Department of Land Resources and Environmental Sciences, Montana State University, Bozeman, MT, USA
b

A R T I C LE I N FO

A B S T R A C T

Keywords:
Disturbance ecology
Forest carnivore
Lynx canadensis
Resource selection
Step-selection functions
Functional response
Forest insect
Spruce bark beetle
Dendroctonus ruﬁpennis
Colorado

Canada lynx (Lynx canadensis) occupy cold wet forests (boreal and subalpine forest) that were structured by
natural disturbance processes for millennia. In the Southern Rocky Mountains, at the species’ southern range
periphery, Canada lynx habitat has been recently impacted by large-scale disturbance from spruce beetles
(Dendroctonus ruﬁpennis). This disturbance poses a challenge for forest managers who must administer this novel
landscape in ways that also facilitate timber salvage. To aid managers with this problem, we instrumented
Canada lynx with GPS collars to document their selection of beetle impacted forests at spatial scales that spanned
from landscapes to movement paths. We used a use-availability design based on remotely-sensed covariates to
evaluate landscape- and path-level selection. We evaluated selection at the home-range scale in beetle-kill areas
based on vegetation plots sampled in the ﬁeld to quantify forest structure and composition. We found that across
all scales of selection, Canada lynx selected forests with a higher proportion of beetle-kill trees that were generally larger in diameter than randomly available. Within home ranges, Canada lynx selected forests with greater
live components of subalpine ﬁr and live canopy of Engelmann spruce. During winter, Canada lynx exhibited
functional responses, or disproportionate use relative to availability, for forest horizontal cover, diameter of
beetle killed trees, live canopy of Engelmann spruce (Picea engelmannii) and subalpine ﬁr (Abies lasiocarpa), and
additive use (and consistent selection) for relative density of snowshoe hares and density of subcanopy subalpine
ﬁr 3–4.9 in. (7.6–12.4 cm) in diameter. We discuss our results in the context of balancing resource needs of
Canada lynx with the desire to salvage timber in beetle-impacted forests.

1. Introduction
Forests provide vital services to ecosystems across the globe in terms
of nutrient ﬂow, water dynamics, habitat for species, and carbon sequestration (Iverson et al., 2018). Forests also oﬀer spiritual and economic beneﬁts to human communities in ways that are central to our
general welfare (Iverson et al., 2018). Therefore, novel threats to the
distribution and composition of forests often generate social and management actions with the aim of increasing resilience and persistence of
forested ecosystems. Millar and Stephenson (2015) warn the novel
threat from climate change is ushering in an era of “megadisturbance,”
where primarily ﬁre and insect outbreaks threaten the structure and
composition of forests worldwide. The threat of increased disturbance

⁎

associated with a warming climate is especially concerning for cold wet
forests (boreal and subalpine forest; Gauthier et al., 2015; Price et al.,
2013; Seidl et al., 2016). Although large-scale disturbances traditionally drove successional trajectories within boreal forests (Agee, 2000;
Eisenhart and Veblen, 2011; Price and Apps, 1995), it is generally acknowledged that warming and drying trends projected from continued
climate change will increase the frequency and severity of disturbance
at a scale that threatens the integrity of boreal ecosystems (Gauthier
et al., 2015; Millar and Stephenson, 2015; Price et al., 2013; Sherriﬀ
et al., 2011). These changes could have far-reaching consequences,
given that the boreal biome represents 25% of the Earth’s closed canopy
forests and plays a crucial role in the global carbon cycle (Boonstra
et al., 2016).

Corresponding author.
E-mail address: john.squires@usda.gov (J.R. Squires).

https://doi.org/10.1016/j.foreco.2020.118400
Received 1 April 2020; Received in revised form 2 July 2020; Accepted 3 July 2020
0378-1127/ 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/).

�Forest Ecology and Management 475 (2020) 118400

J.R. Squires, et al.

Squires and Ruggiero, 2007) that require forest with high horizontal
cover (Hodges, 2000; Holbrook et al., 2017b). Thus, Canada lynx at the
southern range periphery might be particularly sensitive to large-scale
ﬁre and insect disturbances that alter forest structure and composition
of boreal and subalpine forests for potentially many decades.
In our study, we investigated how Canada lynx (used interchangeably as “lynx” hereafter) navigated a novel landscape created by
a spruce-beetle outbreak at the southern tip of the species' range. We
used GPS telemetry to relate the movement patterns of lynx to measures
of environmental heterogeneity in spruce beetle-impacted forests. Our
overarching goal was to provide forest managers with conservation
insights and tools that distinguished forest stands essential to the conservation of Canada lynx from those stands that were less important and
therefore available for timber salvage with little impact to this federally-listed species. This work also required novel advancements in
mapping of tree canopy and subcanopy characteristics in beetle-impacted stands using remote sensing (i.e., Savage et al., 2017).
To achieve our goal, we implemented a 3-step analytical process.
We ﬁrst evaluated patterns of habitat use and resource selection (Boyce
et al., 2002; Johnson et al., 2004; Lele et al., 2013) of Canada lynx in
beetle-impacted landscapes at multiple spatial scales. At the broadest
scale, we determined the environmental features that lynx selected or
avoided when establishing a home range (second-order selection;
Johnson 1980). We then measured stand metrics useful to foresters and
silviculturists at locations used by lynx and compared that to random
locations within lynx home ranges (third-order selection). At the ﬁnest
scale, we evaluated what resources lynx were selecting on a sequential
basis along their movement path (fourth-order selection). This is commonly referred to as step-selection (Fortin et al., 2005). In our second
analytical step, we evaluated how lynx use of diﬀering resources (e.g.,
forest subcanopy) changed as the resource became more or less available. This is termed a functional response in habitat use (Holbrook
et al., 2019a, 2019b; Mysterud and Ims, 1998), which can provide
additional insight about the behavioral importance of a particular habitat attribute. Lastly, we developed predictive maps of habitat suitability (e.g., DeCesare et al., 2012; Squires et al., 2013) for Canada lynx
across the beetle-impacted landscape to help spatially inform forest
management actions. These maps are a valuable tool for managers to
eﬃciently identify areas of importance for Canada lynx conservation
relative to those areas that are less important, which could be prioritized for focused timber salvage. Collectively, our research advances
the applied ecological understanding of how a highly specialized forest
carnivore responded to broad-scale changes in montane forests, while
also informing forest management actions.
Based on literature and our long-term research experience with
Canada lynx, we developed multiple predictions. Western populations
of Canada lynx in the contiguous U.S. are generally restricted to mixedconifer forests dominated by Engelmann spruce (Picea engelmannii) and
subalpine ﬁr (Abies lasiocarpa) with live overstory canopy (Aubry et al.,
2000; Ivan and Shenk, 2016; Squires et al., 2010). Lynx associate with a
mosaic of forest age and structure classes to meet their foraging needs
and other life-history requirements (Holbrook et al., 2017a; Squires
et al., 2010). This mosaic includes a structure class of mature forest at
the species’ southern periphery (Holbrook et al., 2017a, 2017b; Ivan
and Shenk, 2016; Simons-Legaard et al., 2013; Squires et al., 2010).
Therefore, we predicted that Canada lynx would select home ranges
with forest structures that were most consistent with mature, spruce-ﬁr
forests (live canopy) within beetle-impacted landscapes. Thus, we expected that Canada lynx, when confronted with a highly altered landscape from spruce beetle impacts, would select for patches of live canopy cover with dense sub-canopies of Engelmann spruce and subalpine
ﬁr, and for mature green forests to the extent possible (Holbrook et al.,
2017a; Ivan and Shenk, 2016; Squires et al., 2010). Second, we predicted that Canada lynx within home ranges and along movement paths
would select forest stands with higher understory (high horizontal
cover) compared to random locations. We based this prediction on the

Outbreaks from spruce beetle (Dendroctonus ruﬁpennis) and mountain pine beetle (Dendroctonus ponderosae) cause major disturbances
across North America from boreal forests in Canada and Alaska (Berg
et al., 2006; Campbell et al., 2019; Sherriﬀ et al., 2011), and south
through the subalpine forests of the Southern Rocky Mountains
(Eisenhart and Veblen, 2011; Negrón and Cain, 2018). In Europe,
spruce bark beetles (Ips typographus) are also responsible for unprecedented outbreaks in Norway spruce (Picea abies; Seidl et al.,
2016). The underlying drivers of climate impacts on increased insect
outbreaks are complex and include: altered patterns of temperature and
precipitation/drought (Berner et al., 2017; Ramsﬁeld et al., 2016;
Sherriﬀ et al., 2011), altered insect life cycles and demography (Bentz
et al., 2010; Pureswaran et al., 2015; Ramsﬁeld et al., 2016), shifts in
host/insect phenology (Pureswaran et al., 2015), and changes in forest
structure and composition (Campbell et al., 2019). A primary challenge
facing current forest management is ameliorating the climate-induced
impacts to forests for the beneﬁt of society and the resilience of forested
ecosystems (Millar and Stephenson, 2015). Compounding this ecological challenge are the social and economic pressures placed on forest
managers to increase the salvage of beetle-killed trees to reduce the
perceived risk of extensive wildﬁre and to provide local timber supplies
(Fleming et al., 2002; Hart et al., 2015; James et al., 2017).
Evaluating diﬀerent management alternatives that address disturbance at broad scales, such as large-scale tree salvage, is exceedingly
diﬃcult because various stakeholders have diﬀerent justiﬁcations for
selecting chosen management techniques (Iverson et al., 2018; Millar
and Stephenson, 2015). This is especially true when management actions address large-scale disturbance on public, multiple-use lands
where discussions also consider the habitat needs of sensitive species
that are highly variable across taxa (Ivan et al., 2018; Saab et al., 2013).
For example, salvage logging can reduce animal species richness,
leading to substantial changes within ecological communities (Thorn
et al., 2018), including reductions in populations of some small mammals (e.g., red-backed vole (Myodes gapperi); Sullivan et al., 2010).
However, other species such as ruﬀed (Bonasa umbellus) and spruce
grouse (Canachites canadensis) may beneﬁt from logging activities with
responses being variable across species and tree harvest rates (Franklin
et al., 2019). With respect to key predator and prey species in the boreal
forest, Thomas et al. (2019) demonstrated that salvage logging can alter
food webs over the short term (&lt; 25 yr) by reducing snowshoe hare
(Lepus americanus) abundance, which in turn directly inﬂuenced the
presence of Canada lynx (Lynx canadensis) and coyotes (Canis latrans).
Understanding how salvage logging, and related forest management,
impacts both predator and prey is vital to maintain intact food webs in
disturbed landscapes (Estes et al., 2011).
Canada lynx are an iconic predator of the boreal and subalpine
forest ecosystems and an ideal species to investigate response to largescale disturbances, such as insect outbreaks. In the contiguous U.S.,
Canada lynx is a federally-listed carnivore under the U.S. Endangered
Species Act (U.S. Fish and Wildlife Service, 2000). This requires federal
agencies to understand how tree salvage or other disturbances may
impact the species. In addition, Canada lynx are of interest to ecologists
concerned with climate change, because they are specialized forest
carnivores that are restricted to deep-snow environments found in
boreal and subalpine forests (Agee, 2000; Mowat et al., 2000). At the
southern range periphery, Canada lynx are highly selective in their use
of forest structure and composition (Ivan and Shenk, 2016; Koehler
et al., 2008; Simons-Legaard et al., 2013; Squires et al., 2010). Canada
lynx in the Northern Rocky Mountains exhibit a positive demographic
response to the connectivity of mature subalpine forests within home
ranges (Holbrook et al., 2019a, 2019b; Kosterman et al., 2018) and they
exhibit functional responses to forest-structure classes (Holbrook et al.,
2017a) and to speciﬁc silvicultural practices (Holbrook et al., 2018).
Similar to northern populations (Mowat et al., 2000), the ecology of
Canada lynx at the southern range periphery is strongly driven by their
dependence on snowshoe hares as primary prey (Ivan and Shenk, 2016;
2

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J.R. Squires, et al.

extended from November through May (low elevations) and some snow
cover persisted into June. Annual snowfall was approximately 380 cm
to 1000 cm and low winter temperatures averaged approximately
−13 °C with high summer temperatures approximately 23 °C (National
Oceanic and Atmospheric Administration, 2017).
Prior to 2002, the subalpine boreal forests on our study area were
dominated by stands composed of mostly mature trees approximately
200–350 years in age; some trees on the Rio Grande National Forest
exceeded 600 years (Ryerson et al., 2003; Whipple and Dix, 1979). In
2004, spruce beetles caused mortality to primarily Engelmann spruce
trees. The beetle outbreak then intensiﬁed such that 10% of the study
area was impacted by 2007, 20% by 2010, 30% by 2012, 40% by 2014,
after which insect activity began to plateau at nearly 50% impact by
2016 (U.S. Forest Service Forest Health Protection, 2017). In addition,
the study area was impacted by an extensive (200 km2) ﬁre in 2013 (the
West Fork Complex; Fig. 1). We did not investigate lynx use of this ﬁre
as a part of our research.
2.2. Canada lynx capture and handling
Approximately 85% of the 218 Canada lynx reintroduced to
Colorado from 1999 to 2007 were released on the Rio Grande National
Forest, and this region remains some of the most important occupied
lynx habitat in the state (Devineau et al., 2010). Given that Canada lynx
on our study area were reintroduced over 20 years ago, the adult population represented the second-generation of those founders, and these
adults have demonstrated successful reproduction (Devineau et al.,
2010). From 2015 to 2017, we captured 10 adult (&gt; 3 years old) Canada lynx (6 males and 4 females) in box traps (Kolbe et al., 2003) that
were set on travel paths identiﬁed by snow tracks during winter months
(December to March); traps were checked every 24 h. Our sample of
Canada lynx included most individuals present on the study area, based
on our ﬁeld observations. We instrumented Canada lynx with store-onboard GPS collars (210–230 g; (Telemetry Solutions, Concord, California, USA) equipped with remote download capability from aircraft
and VHF beacon transmitters. Collars were also equipped with a dropoﬀ mechanism that automatically activated following summer sampling, usually by early August. All capture and handling procedures
were conducted under the guidelines of Animal Care and Use Permit #
CPW ACUC File #01-2015.

Fig. 1. Canada lynx (Lynx canadensis) study area on the Rio Grande National
Forest in southwestern Colorado, USA, with lynx GPS locations displayed (color
of points changes with individual lynx).

numerical response of snowshoe hares to forest stands with high horizontal cover (Griﬃn and Scott Mills, 2009; Hodges, 2000; Holbrook
et al., 2017b). We expected spruce beetle outbreaks could decrease
overall horizontal cover in spruce-ﬁr stands due to the high mortality of
Engelmann spruce; this assumes that large, mature Engelmann spruce
trees contribute substantially to horizontal cover within our landscape.
However, within this altered landscape, we assumed that lynx and
hares would be associated with the highest horizontal cover available
within beetle-impacted stands. Finally, we predicted that Canada lynx
would become increasingly selective (i.e., a functional response) for
forest structures associated with horizontal cover (i.e., high subcanopy
cover) in areas where horizontal cover was sparsely distributed.

2.3. Data collection
GPS locations provided the foundation for our multi-scale assessment of habitat use and resource selection by Canada lynx within
beetle-impacted forests during both winter (January – April) and
summer (May – August). Given that Canada lynx exhibit seasonal differences in resource use (Squires et al., 2010), we programmed collars
for a location attempt every 68 min during the winter (January 1 – April
15) and summer (June 1 – August 15) sampling seasons, with a lower
ﬁx rate (360 min) otherwise. All Canada lynx incorporated in the study
exhibited movements that were consistent with resident individuals
with established home ranges. We recorded 802 – 1,715 locations per
individual during winter (11,628 total winter GPS locations, 10 lynx)
and 895 – 1,272 locations per individual during summer (7,721 total
summer GPS locations, 7 lynx). Because of collar failures shortly after
deployment, our summer sample size was smaller than our winter
sample. We did not correct for potential habitat-induced bias in data
acquisition, because our GPS mean ﬁx-rate was high ( x̄ =88%) across
individuals (Hebblewhite et al., 2007).

2. Methods
2.1. Study area
Our study area (3,466 km2) was located in the San Juan Mountains
of southern Colorado, USA (location centroid 37.554 Lat, −106.868
Lon; Fig. 1) and was administered as public land by the U.S. Forest
Service, Rio Grande National Forest. Topography of the San Juan
Mountains was typical of the Southern Rocky Mountains with steep
mountain valleys punctuated with high peaks across an elevation range
of approximately 2000–4300 m asl. The high topographic relief provided a mosaic of montane conifer forests interspersed with meadows
and avalanche paths extending up to alpine tundra. The subalpine
boreal forests that supported Canada lynx (elevation 2500–3500 m asl)
were dominated by Engelmann spruce (Picea engelmannii) and subalpine ﬁr (Abies lasiocarpa). Other conifers present included Douglas-ﬁr
(Pseudotsuga menziesii), bristlecone pine (Pinus aristata), limber pine
(Pinus ﬂexilis), and blue spruce (Picea pungens). Aspen (Populus tremuloides) was common on disturbed slopes and was inter-mixed with
conifers in mid-seral stands. Lodgepole pine (Pinus contorta) was absent
from the study area except in small plantations. Willow (Salix spp.)
occurred in high elevation meadows and riparian bottomlands. Winters

2.4. Multi-scale resource selection
2.4.1. Selection across landscapes - Second order
At the landscape scale (i.e. second-order selection), we evaluated
resource selection separately during winter and summer by comparing
3

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J.R. Squires, et al.

et al., 2008, 2013). Previous work in the Northern Rocky Mountains
indicated Canada lynx prefer areas of intermediate elevations and thus
intermediate snow accumulations (Holbrook et al., 2017b; Ivan et al.,
2014; Squires et al., 2013); that is, selecting areas in between alpine
habitats and valley bottoms. Therefore, we expected to observe a similar pattern with respect to Canada lynx selection of long-term precipitation.
Finally, we incorporated two covariates associated with the distribution and density of roads. We evaluated the selection response of
lynx to the density of paved roads and highways as well as to the
density of non-paved roads maintained by the U.S. Forest Service
(USFS; Table 1). We did not expect roads to inﬂuence selection behavior
of Canada lynx per se (Baigas et al., 2017). However, based on the
distribution of roads in our study area we expected lynx to select
greater USFS road density and avoid paved roads and highways, since
USFS roads were largely constructed to facilitate timber harvest
whereas paved roads and highways were primary transportation corridors that generally followed valley bottoms.
We implemented a multi-step process to execute our RSF modeling.
For all landscape covariates with a base resolution of 30 × 30 m
(Table 1), we summarized variables to 100 m, 250 m, and 500 m
neighborhoods and evaluated which scale and function (linear or
quadratic) was most supported by the data using Akaike’s Information
Criteria, corrected for small sample sizes (AICc; Anderson and Burnham,
2002; Burnham and Anderson, 2002). Similar to Holbrook et al.
(2017a), we initially created a suite of univariate mixed-eﬀects models
for each covariate and evaluated how they compared to an interceptonly model (null model). We removed all covariates from consideration
that were not ≥ 2 ΔAICc values better than the null model. This initial
univariate screen ensured that all covariates in models were biologically meaningful to Canada lynx resource selection. We then explored
correlations among variables and prevented those that exhibited an
|r| &gt; 0.60 from entering the same model. Because we were interested in
both understanding habitat selection by Canada lynx, as well as developing predictive habitat suitability maps, we searched for the best
abiotic model (precipitation, topographic, and anthropogenic variables
in Table 1) using an all-subsets approach. With the best abiotic model
identiﬁed, we then evaluated our initial predictions concerning how
Canada lynx may respond to novel forest conditions found in spruce
beetle-impacted forests by adding combinations of biotic variables from
our suite of covariates. For all variable and model selection choices, we
assessed support using AICc and standardized regression coeﬃcients to
determine relative eﬀect sizes. We performed all analyses using standard tools in ArcGIS (ESRI 2019. ArcGIS Desktop: Release 10.5.1.
Redlands, CA: Environmental Systems Research Institute) as well as the

lynx GPS locations to random locations distributed throughout our
study area. The density of available points was 1 location/500 m2 and
each random location could be no closer than 100 m from another
random location. We generated a unique sample of 7,000 available
points for each lynx which resulted in a use to availability ratio ranging
from 1:4 to 1:9 across individual lynx during both seasons. This ensured
appropriate coverage of availability for all lynx while sampling such
that the ratio of use:availability for each lynx far exceeded the ratio
necessary to generate stable coeﬃcients for a patchy, heterogeneous
landscape (Northrup et al., 2013). We then developed seasonal resource
selection functions (RSFs; Boyce et al., 2002; Johnson et al., 2006;
Manly et al., 2002) at the landscape scale using mixed-eﬀects logistic
regression (logit link), treating individual lynx as the random intercept.
This structure allowed us to account for (1) unbalanced sampling
among individual lynx, and (2) repeated measures (GPS locations)
within lynx (Gillies et al., 2006). By implementing this structure, we
assumed lynx might have diﬀerent selection intensities, but that the
general preference or avoidance with respect to environmental resources was similar. This structure also allowed us to eﬃciently develop
spatial predictions of relative probability of lynx use across the landscape. Our RSF structure was as follows:

w (x ) = exp(β1 x1j + β2 x2j +⋯+βi x ij + γ0j ),

(1)

where βi is the population-level (i.e., marginal) RSF coeﬃcient for
covariate i, x ij is the value of covariate i for individual j, γ0j is the
random intercept associated with the jth animal, and w (x ) is the predicted relative probability of use (Boyce et al., 2002).
We based our evaluation of landscape-scale selection on remotelysensed covariates that described biotic, abiotic, and anthropogenic
gradients across our study area (Table 1). For biotic covariates at used
and available locations, we calculated the mean value ( ± 95 CIs) of
dead forest canopy (at the 100 × 100 m neighborhood), as well as live
canopy cover and subcanopy density for the following tree species:
subalpine ﬁr, Engelmann spruce, quaking aspen, and Douglas-ﬁr. Our
covariates of tree species composition were developed for our study
area in a previous study by Savage et al. (2017) using Landsat imagery
and topographic gradients.
We characterized our abiotic gradients with four covariates
(Table 1): long-term precipitation (PRISM Climate Group, Oregon State
University, http://prism.oregonstate.edu, retrieved January 2017), topographic roughness (Jenness, 2004), topographic position index
(Jenness, 2006), and a heat load index (McCune and Keon, 2002). We
expected Canada lynx in the Southern Rocky Mountains to select areas
of relatively mild topography, cool-moist conditions, and areas characterized as basins versus ridges (e.g., Holbrook et al., 2017a; Squires

Table 1
Resource variables used in analyses of landscape-scale habitat selection for Canada lynx (Lynx canadensis) in spruce beetle (Dendroctonus ruﬁpennis)-impacted forests
of southwestern Colorado, USA. Covariate codes POTR, PIEN, ABLA, PSME indicate quaking aspen (Populus tremuloides), Engelmann spruce (Picea engelmannii),
subalpine ﬁr (Abies lasiocarpa), and Douglas-ﬁr (Pseudotsuga menziesii), respectively.
Theme

Variable

Units

Base Resolution

Reference

Canopy

Total mortality
POTR canopy cover
PIEN canopy cover
ABLA canopy cover
PIEN-ABLA canopy cover
PSME tree count
POTR tree count
PIEN tree count
ABLA tree count
PIEN-ABLA tree count
Mean annual precipitation over 1981–2010
Roughness
Heat load index
Topographic position index
Density of major roads and highways
Density of USFS roads

%
%
%
%
%
Count
Count
Count
Count
Count
mm
Index
Index
Index
m/ha
m/ha

30 × 30 m
30 × 30 m
30 × 30 m
30 × 30 m
30 × 30 m
30 × 30 m
30 × 30 m
30 × 30 m
30 × 30 m
30 × 30 m
800 × 800 m
30 × 30 m
30 × 30 m
30 × 30 m
1 × 1 km
1 × 1 km

Savage et al. (2017)
Savage et al. (2017)
Savage et al. (2017)
Savage et al. (2017)
Savage et al. (2017)
Savage et al. (2017)
Savage et al. (2017)
Savage et al. (2017)
Savage et al. (2017)
Savage et al. (2017)
PRISM Climate Group, Oregon State University 2017
Jenness (2004)
McCune and Keon (2002)
Guisan et al. (1999)
Colorado Department of Transportation 2010
Rio Grande National Forest 2017

Live sub-canopy

Precipitation
Topographic

Anthropogenic

4

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J.R. Squires, et al.

those most biologically meaningful to lynx, we initially created a suite
of univariate mixed-eﬀects models (logistic regression with lynx as
random eﬀect) similar to the procedures we used at the landscape scale
for each covariate. We retained covariates that performed better than
the intercept-only model (null model) based on ΔAICc and we removed
covariates with high correlations (i.e., |r| &gt; 0.60); we selected the
covariate with the lower AICc value when two variables were correlated. We further evaluated this reduced set of candidate covariates
with the Least Absolute Shrinkage and Operator (LASSO; Groll and
Gerhard, 2014) to identify the most predictive candidate variables (i.e.,
those that did not shrink to approximately 0). We assessed lambda
values (the log-likelihood penalty term) between 0 and 500 within the
LASSO and selected the optimal lambda using AICc. Finally, we searched all-subsets of models using the variables identiﬁed in the LASSO
and selected the top model(s) using AICc. We used generalized linear
mixed-models (logistic regression with a random intercept for lynx) for
all model-based analyses (i.e., univariate models, LASSO, and modelselection) and, similar to our landscape-scale analyses, we estimated
standardized regression coeﬃcients for our top selected models. We
performed all analyses using the software program R (R Core Team,
2019).

statistical program R (R Core Team, 2019).
2.4.2. Selection within home-ranges – Third order
To understand how Canada lynx responded to stand-level characteristics in beetle-impacted forests (third-order selection within home
ranges; Johnson, 1980), we measured forest attributes at winter and
summer GPS locations of lynx as compared to random from 2015 to
2017. We calculated 95% ﬁxed kernel home ranges for both winter and
summer to provide a biologically meaningful deﬁnition of availability
for each lynx (Calenge, 2006). We balanced the sample for used and
available locations equally (approximately 1:1). Thus, we sampled 457
used and available plots in the ﬁeld during the winter (41–52 plots per
lynx) for 10 individuals (4 females, 6 males) and 278 used and available
plots during summer (43–50 plots per lynx) across 6 animals (4 females,
2 males). Vegetation sampling was conducted primarily the season
following lynx-use.
We quantiﬁed forest and other environmental attributes on 400 m2
(11.2 m radius) circular plots. These included measures of tree and
other vegetation metrics, horizontal cover, woody debris, and relative
snowshoe hare density (see plot conﬁguration in Appendix A). For trees
(≥3 in or 7.6 cm DBH diameter), we recorded: species, diameter at
breast height (DBH), and condition (live, dead via beetle kill, snags).
We estimated canopy cover on a 25-point, 20 × 20 m grid established
at plot center. At each grid point, we determined canopy presence or
absence using a vertical projection tube (i.e., moosehorn; Fiala et al.,
2006). We then processed tree-plot data using the USFS, Forest Vegetation Simulator (FVS) software version that accounted for conditions
in the Central Rocky Mountains and the San Juan National Forest
(Dixon, 2002). For live trees (53% of all trees), we calculated tree
density overall and per acre (0.405 ha) by species (TPA), quadratic
mean diameter (QMD), basal area (BA), canopy cover, and stand density index (SDI). The tree species that accounted for most (98.5%) live
trees on plots included: 35% subalpine ﬁr (ABLA), 24% Engelmann
spruce (PIEN), 34.5% quaking aspen (POTR), and 5% blue spruce
(PIPU). In addition, we calculated the TPA for each species by four
diﬀerent size classes: 7.6–12.5 cm (3–4.9 in), 12.7–22.6 cm (5–8.9 in),
22.9–40.4 cm (9–15.9 in); and ≥ 40.4 cm (≥16 in.). For dead, beetlekilled trees (35% of all trees), we calculated the same metrics, except
SDI. The composition of dead trees was: ABLA (11.5%), PIEN (73.5%),
and POTR (12%). The dead trees of PIEN (85%) and ABLA (13%) together accounted for 98% of the beetle-impacted trees. Finally, for
snags (12% of all trees), we calculated overall TPA, QMD, and BA. We
distinguished snags from beetle-killed trees based on their lack of
horizontal branching and their general appearance of being older than
the beetle outbreak (therefore, the source of mortality was unknown,
but could have been from beetles prior to the epidemic outbreak).
We also sampled the species composition and density of subcanopy
trees (&gt; 1 m height) present on plots using a 1-m belt-transect centered
on a 22.4 m line that deﬁned the north–south axis of the plot (Appendix
A). We recorded the species and height of all subcanopy trees present in
the belt-transect. Nearly all subcanopy trees were &lt; 6 m (19 ft) in
height; 90% were &lt; 4.5 m (15 ft) and 85% were &lt; 3 m (10 ft). From
the plot center, we measured horizontal cover, which is associated with
density of small trees in the understory (Holbrook et al., 2017b; Squires
et al., 2010). We estimated horizontal cover at 10 m in each of the four
cardinal directions using a 2 m tall × 0.50 m wide coverboard divided
into four 0.50 × 0.50 m blocks (16 readings averaged/plot). Finally, we
estimated the relative abundance of snowshoe hares by counting fecal
pellets on uncleared, 1-m circular plots (Murray et al., 2002) distributed
every 5.6 m along the 22.4 m line (we recorded 5 pellet counts per
vegetation plot). Many studies have documented the close relationship
between fecal pellet counts and snowshoe hare densities (Berg and
Gese, 2010; Krebs et al., 1987; Mills et al., 2005; Murray et al., 2005).
Similar to our landscape-scale modeling, we implemented a multistep process to complete our RSF modeling at the home range scale. To
reduce the number of potential variables (i.e., 120 variables) to include

2.4.3. Selection along movement paths - Fourth order
We employed step selection functions (Fortin et al., 2005; Thurfjell
et al., 2014) to investigate how Canada lynx selected forest attributes,
conditional on local availability, as they moved through the beetleimpacted landscape. Step-selection functions compare used locations
(GPS locations at time t) along a movement path to random locations
generated from the same starting point (the GPS location at time t − 1).
These random locations are developed based on the movement characteristics of the animal (e.g., the distribution of turn angles and step
lengths between successive GPS locations) and thus characterize a
limited domain of availability along a movement path. In our case, SSFs
helped us evaluate what habitat resources lynx consistently moved toward versus those resources they consistently avoided along their
movement path.
We evaluated a series of focused questions concerning lynx movement during winter (n = 10 lynx; 4 females, 6 males) and summer
(n = 7 lynx; 4 females, 3 males). We only evaluated how lynx responded to forest-based covariates that were uncorrelated, well distributed across lynx movement paths (i.e., available for selection), and
were relevant to forest management and lynx ecology. Our covariates of
interest included percent canopy cover and subcanopy tree count of
subalpine ﬁr and Engelmann spruce, as well as the percent total mortality in the canopy (Savage et al. 2017; Table 1). Covariates were
averaged to a 100 × 100 m resolution, which ensured they were relevant to lynx movement patterns (Thurfjell et al., 2014). For instance,
median step length across lynx and seasons was ≈50 m, which corresponded to half the window length/width used to summarize our covariates. We sampled our winter (n = 8545 lynx GPS locations) and
summer (n = 5160 lynx GPS locations) used data to ensure (1) time
intervals were consistent with our target interval of 68-min between
GPS locations, and (2) each track was composed of ≥2 successive GPS
locations (i.e., need to know start and end points to include a step in the
analysis). For each used step, we generated a random sample of 15
available steps from a gamma distribution to each individual’s step
lengths and a von Mises distribution to each individual’s turn angles
(Avgar et al., 2016). We extracted covariate values at the endpoints of
used and random steps and implemented conditional logistic regression
to estimate selection coeﬃcients in a matched case-control design,
where strata were assigned to each set of used and random steps along
the movement path. We also incorporated step length as a variable in
our models to reduce potential bias in coeﬃcient estimates associated
with dependence between used and available steps (Forester et al.,
2009). We ﬁt a single global model including all 5 covariates to each
individual lynx during winter and summer and recorded the selection
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consistency of how Canada lynx may alter their use of forest resources.
We evaluated the question of how resource use by lynx changed as
resource availability shifted across lynx home ranges. We only evaluated functional responses in habitat use for those covariates that received the strongest selection or avoidance (i.e., were included in our
top third-order RSF model) during both winter and summer. We characterized resource use and availability by calculating the mean (and SE)
of each covariate at used and available locations for each individual
(Holbrook et al., 2017a, 2019a, 2019b). We then ﬁt linear models
through the data points from all individuals to test for a functional
response in habitat use:

coeﬃcient along with the 95% CI. We conducted our analyses using the
‘amt’ package (Signer et al., 2019) in the software program R (R Core
Team, 2019).
2.5. Predictive performance of landscape RSF models and habitat suitability
mapping
We produced habitat suitability maps (predictions of relative
probability of animal use) to inform land management and conservation planning (Hebblewhite et al., 2014; Johnson et al., 2006; Morris
et al., 2016). We performed 2 assessments to validate predictions
characterizing relative probability of use for Canada lynx at the landscape-level. First, we implemented a leave-one-out cross-validation,
which is a technique to determine the robustness of a model’s predictions (Matthiopoulos et al., 2011). We sequentially withheld each individual lynx, re-ran our top RSF model on the remaining lynx, and
used the withheld lynx to test the model’s ability to predict resource
use. Second, we used the population-level β coeﬃcients and Eq. (1) to
develop putative landscape-level suitability maps for lynx at a
30 × 30 m resolution, which we categorized into 10 equal-area bins
from low to high predicted lynx use. Prior to all analyses, we withheld
10% of the GPS locations for each lynx for model validation. We
overlaid our withheld lynx data (n = 1109 winter GPS locations,
n = 780 summer GPS locations) on our putative habitat maps derived
from our top RSF models. For both assessments (winter, summer), we
evaluated how the bin frequency of withheld lynx use correlated with
predicted lynx use using Spearman rank correlation coeﬃcients (Boyce
et al., 2002).
Forest managers and conservationists generally can use at least two
versions of habitat suitability maps to inform their decision-making
processes: a continuous map and a binary map. To develop a continuous
habitat suitability map for Canada lynx, we simply used the β coeﬃcients derived from our landscape-scale RSF model and Eq. (1) to predict lynx-use of spruce beetle-impacted forests across our study area
(similar to DeCesare et al., 2012; Hebblewhite et al., 2014; Holbrook
et al., 2017a). Continuous maps are the most commonly produced habitat suitability maps; however, binary maps are often helpful for land
management decision making and planning where thresholds are required. For example, one of our goals was to identify, at a landscape
scale, those areas in beetle-impacted forests that are central to the
conservation of Canada lynx versus areas where salvage logging would
have little impact. A binary map is useful to address this question
within a management context. To develop our binary map, we used an
approach similar to Holbrook et al. (2017a) to identify a cut-point
through the continuous map that characterized low versus high relative
probability of lynx use. We examined how the cumulative percentage of
withheld lynx GPS locations were distributed across our 10 equal-area
bins of lynx use, from high to low. We assessed how many bins (again,
from high to low probability of lynx use) were required to capture 95%
of the withheld Canada lynx locations, which we deﬁned as ‘selected’
habitat, whereas the bins capturing the remaining 5% of lynx locations
we deﬁned as ‘less selected.’ The 95% threshold here is analogous to a
95% home range in that both are capturing the top 95% of an animal’s
use. The threshold used to create a binary map can be modiﬁed, and is
ultimately a management-based decision. We used standard tools in
ArcGIS (ESRI 2019. ArcGIS Desktop: Release 10.5.1. Redlands, CA:
Environmental Systems Research Institute) and the software program R
(R Core Team, 2019) to produce our habitat suitability maps.

m
¯ U (x1) = θ0 + θ1 (m
¯ A (x1))

(2)

m
¯ U (x1)

where,
= a vector (across individuals) of mean values for re¯ A (x1) = a vector (across individuals) of mean
source x1 at used units, m
values for resource x1 at available units, θ0 = y-intercept, and
θ1 = slope of the functional response term. Statistical deviations from
proportional habitat use (θ1 = 1) could indicate a preference in habitat
use (θ1 &gt; 1) for an environmental attribute, whereas a decreasing term
(θ1 &lt; 1) suggested resource avoidance. We performed all analyses of
functional responses in the statistical program R (R Core Team, 2019).
3. Results
3.1. Multi-scale resource selection – From landscapes to movement paths
Canada lynx exhibited diﬀering patterns of selection for biotic and
abiotic resources at the landscape-scale based on remotely-sensed
covariates. Our top RSF models for winter and summer were nearly
identical in that they contained similar sets of covariates and all eﬀects
were statistically signiﬁcant (Table 2). There was no model uncertainty;
the next closest models were 90 and 14 ΔAICc values away from our top
models in winter and summer, respectively (Appendix B). All abiotic
covariates were included in the top model for winter and summer,
however, there were some diﬀerences in terms of lynx selection and
avoidance between the seasons. For instance, lynx avoided topographically rough areas and selected locations with higher heat loads
during the winter months, whereas in the summer, lynx behavior was
the opposite (Table 2). For the remaining abiotic covariates, lynx exhibited similar responses across seasons. Lynx selected basins, areas
with intermediate amounts of long-term precipitation (i.e., avoided low
and high precipitation areas), and higher densities of USFS roads; they
avoided ridgelines and major roads and highways (Table 2). We believed the relationship for lynx-use of these linear features was a
function of how forest roads and highways were associated with adjacent forest characteristics rather than an attraction or avoidance of
human activity per se.
Of particular interest to our research was the response of Canada
lynx at the landscape-scale to biotic components found in beetle-impacted forests given the desire for tree salvage and active forest management. We found that Canada lynx exhibited a strong preference for
landscapes with a high proportion of beetle-killed trees during both
winter and summer seasons; this relationship was consistent in univariate assessments (Fig. 2) and multivariate models (Table 2). During
winter, Canada lynx used areas with quaking aspen in the canopy and
more live Engelmann spruce and subalpine ﬁr in the subcanopy. During
summer, lynx tended to avoid areas with live Engelmann spruce in the
canopy, but preferred areas with higher levels of spruce in the subcanopy. Canada lynx consistently avoided areas with higher levels of
Douglas-ﬁr in the subcanopy regardless of season.
In contrast to the landscape-scale, top models at the home-range
scale (i.e., third-order of selection and based on forest metrics measured
in the ﬁeld) contained mostly diﬀerent sets of forest covariates between
winter and summer (Table 3). Canada lynx consistently (and statistically; p &lt; 0.10) selected for areas with higher horizontal cover and
relative snowshoe hare density during both winter and summer seasons

2.6. Functional responses in habitat use across home ranges
To complement our third-order RSF analyses, we evaluated if
Canada lynx exhibited functional responses to the novel environmental
features in home ranges following the spruce-beetle outbreak (Holbrook
et al., 2019a, 2019b; Moreau et al., 2012; Mysterud and Ims, 1998; van
Beest et al., 2015). This assessment provided insight concerning the
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Table 2
Seasonal resource selection results for Canada lynx (Lynx canadensis) in spruce
beetle (Dendroctonus ruﬁpennis)-impacted forests at the landscape-scale
(second-order selection; Johnson 1980) in southwestern Colorado, USA. Standardized marginal coeﬃcients, standard errors (SE), and p-values from our
most parsimonious mixed-eﬀects resource selection function (RSF). Covariate
codes POTR, PIEN, ABLA, PSME indicate quaking aspen (Populus tremuloides),
Engelmann spruce (Picea engelmannii), subalpine ﬁr (Abies lasiocarpa), and
Douglas-ﬁr (Pseudotsuga menziesii), respectively. All variables signiﬁcant at
P &lt; 0.001.
Season

Theme

Covariate

β

SE

Winter (n = 10
lynx)

Abiotic

Roughness
Heat load index
Topographic position index
Mean annual precipitation over
1981–2010
Mean annual precipitation over
1981–20102
Density of major roads and
highways
Density of USFS roads
Dead canopy
POTR canopy
PIEN-ABLA subcanopy
PSME subcanopy
Roughness
Heat load index
Topographic position index
Mean annual precipitation over
1981–2010
Mean annual precipitation over
1981–20102
Density of major roads and
highways
Density of USFS roads
Dead canopy
PIEN canopy
POTR canopy
PIEN subcanopy
PSME subcanopy

−0.183
0.195
−0.078
−1.682

0.012
0.013
0.012
0.031

−0.499

0.020

−0.449

0.022

0.457
0.672
0.129
0.247
−0.391
0.735
−0.209
−0.076
−1.305

0.012
0.015
0.013
0.014
0.022
0.016
0.014
0.014
0.035

−0.469

0.024

−0.413

0.032

0.490
0.815
−0.613
0.074
0.343
−0.911

0.016
0.020
0.030
0.018
0.026
0.052

Forest

Summer (n = 7
lynx)

Abiotic

Forest

Table 3
Seasonal resource selection results for Canada lynx (Lynx canadensis) in spruce
beetle (Dendroctonus ruﬁpennis)-impacted forests at the home-range scale (thirdorder selection; Johnson 1980) in southwestern Colorado, USA. Standardized
marginal coeﬃcients, standard errors (SE), and p-values from our most parsimonious mixed-eﬀects resource selection function (RSF). Covariate codes
POTR, PIEN, ABLA, PSME indicate quaking aspen (Populus tremuloides), Engelmann spruce (Picea engelmannii), subalpine ﬁr (Abies lasiocarpa), and Douglas-ﬁr (Pseudotsuga menziesii), respectively, while QMD, TPA, DBH, and BA
indicate quadratic mean diameter (1 in. = 2.54 cm), trees per acre (1
acre = 0.405 ha), diameter at 4.5 feet (1 foot = 30.48 cm), and basal area.
Season

Covariate

β

SE

p

Winter (n = 10 lynx)

Horizontal cover
Snowshoe hare pellets
Canopy cover of live PIEN
QMD of live ABLA
QMD of live POTR
QMD of dead trees
TPA of live ABLA 3–4.9 in. in
DBH
TPA of dead PIEN 5–8.9 in. in
DBH
BA of dead trees
Horizontal cover
Snowshoe hare pellets
QMD of dead PIEN
QMD of dead ABLA

0.239
0.245
0.353
0.267
0.321
0.366
0.328

0.124
0.132
0.118
0.121
0.113
0.152
0.145

0.054
0.063
0.003
0.027
0.004
0.016
0.023

0.328

0.143

0.022

−0.319
0.427
0.231
0.492
0.263

0.161
0.139
0.139
0.142
0.135

0.047
0.002
0.078
0.001
0.051

Summer (n = 6 lynx)

(Table 3). During the winter months, lynx exhibited strong selection for
areas with higher canopy cover of live Engelmann spruce trees, larger
live subalpine ﬁr and quaking aspen trees, and higher densities of live
subalpine ﬁr trees 7.6–12.4 cm (3–4.9 in. in diameter). In addition,
during winter lynx avoided areas with more basal area of dead trees,
but lynx strongly selected areas with larger dead trees and areas with
higher densities of dead Engelmann spruce trees 12.7–22.6 cm
(5–8.9 in.) in diameter (Table 3). During the summer months, the size
of beetle-killed subalpine ﬁr and Engelmann spruce trees were two
additional covariates in our top model of lynx selecting high horizontal
cover and snowshoe hare densities. Lynx exhibited selection for areas
with larger dead subalpine ﬁr trees and demonstrated strong selection
Fig. 2. Canada lynx (Lynx canadensis) habitat use
(mean ± 95% CIs) of canopy cover by tree species,
tree mortality from spruce-beetle (Dendroctonus ruﬁpennis) outbreak, and subcanopy trees at the
landscape scale in southwestern Colorado, USA.
Means were calculated across lynx at used and
available locations. Forest metrics were quantiﬁed
from remotely sensed variables using methods developed by Savage et al. (2017). Covariate codes
POTR, PIEN, ABLA, PSME, and DEAD indicate
quaking aspen (Populus tremuloides), Engelmann
spruce (Picea engelmannii), subalpine ﬁr (Abies lasiocarpa), Douglas-ﬁr (Pseudotsuga menziesii), and
percent total tree mortality in the canopy, respectively.

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Fig. 3. Standardized selection coeﬃcients ( ± 95% CIs) derived from our
winter step-selection functions for individual female (top panel) and male
(bottom panel) Canada lynx (Lynx canadensis) in spruce beetle (Dendroctonus
ruﬁpennis)-impacted forests of southwestern Colorado, USA. The dashed line at
0 indicates no selection or avoidance. Forest metrics were quantiﬁed from remotely sensed variables using methods developed by Savage et al. (2017).
Covariate codes ABLA, PIEN, and DEAD indicate subalpine ﬁr (Abies lasiocarpa),
Engelmann spruce (Picea engelmannii), and percent total tree mortality in the
canopy, respectively. The code PCC indicates percent canopy cover and code SC
indicates subcanopy tree count.

Fig. 4. Standardized selection coeﬃcients ( ± 95% CIs) derived from our
summer step-selection functions for individual female (top panel) and male
(bottom panel) Canada lynx (Lynx canadensis) in spruce beetle (Dendroctonus
ruﬁpennis)-impacted forests of southwestern Colorado, USA. The dashed line at
0 indicates no selection or avoidance. Forest metrics were quantiﬁed from remotely sensed variables using methods developed by Savage et al. (2017).
Covariate codes ABLA, PIEN, and DEAD indicate subalpine ﬁr (Abies lasiocarpa),
Engelmann spruce (Picea engelmannii), and percent total tree mortality in the
canopy, respectively. The code PCC indicates percent canopy cover and code SC
indicates subcanopy tree count.

for areas with larger-diameter dead Engelmann spruce trees (Table 3).
Finally, Canada lynx exhibited clear patterns of selection at our
ﬁnest scale of selection along movement paths (fourth-order selection).
Male and female lynx, regardless of season, tended to move toward
areas with more dead canopy cover than expected given random
availability along movement paths (Figs. 3 and 4). This movement
pattern was consistent with selection at the broader landscape- and
home-range scales, and reinforced the importance of beetle-impacted
areas for Canada lynx use. Similarly, most females and males exhibited
selection along movement paths for areas with abundant subalpine ﬁr
in the subcanopy during the winter. However, despite some consistent
patterns, there was also substantial individual and seasonal variation in
movement behavior (Figs. 3 and 4). For instance, the one male lynx
(M10) that moved away from areas with more subalpine ﬁr in the
subcanopy during the winter months also strongly selected for areas
with abundant subalpine ﬁr in the canopy (more so than any other
male; Fig. 3). In addition, most females during the winter months selected areas with higher Engelmann spruce in the canopy, whereas in
the summer there was much more heterogeneity, with females F03 and
F05 avoiding Engelmann spruce canopy cover (Figs. 3 and 4).

were rs = 0.90 (SD = 0.23), and rs = 0.92 (SD = 0.07), respectively.
Furthermore, our 10% withheld sample of GPS locations for each lynx
validated well on our putative habitat suitability maps. The Spearman’s
rank correlation coeﬃcients for winter and summer were high: winter
rs = 0.99 (p &lt; 0.001), summer rs = 0.99 (p &lt; 0.001). Therefore, we
felt conﬁdent to use our top RSF models to generate habitat suitability
maps for Canada lynx across our beetle-impacted landscape, which we
categorized into 10 equal-area bins (Fig. 5).
To establish our binary map, we assessed how many equal-area bins
were required to reach a threshold of 95% cumulative lynx use from our
withheld GPS locations. For our winter habitat suitability map, we
reached 95% use incorporating 5 equal-area bins (bins 6–10; Fig. 6).
However, we reached 95% cumulative lynx use including only 4 bins
for our summer map (bins 7–10). We classiﬁed these areas capturing
95% cumulative lynx use as ‘selected’ whereas the remaining area was
classiﬁed as ‘less selected’ (Fig. 6).
3.3. Functional responses in habitat use across home ranges
We observed consistent positive selection (i.e., use always greater
than availability) for horizontal cover, but diminishing strength of selection (relative to the diagonal, proportional use line) as cover increased in home ranges. This same general relationship was seen with
live canopy cover of Engelmann spruce and tree size of subalpine ﬁr
(Fig. 7; Appendix C). These functional responses indicated that lynx
increasingly selected areas with higher horizontal cover, more live canopy cover of Engelmann spruce, and larger subalpine ﬁr trees as these
resources became less available within lynx home ranges; or conversely,
became less selective as these resources became more available within a
home range. Lynx also, during winter, demonstrated a similar

3.2. Predictive performance of landscape RSF models and habitat suitability
mapping
Top models (both winter and summer) characterizing Canada lynx
resource selection at the landscape-scale were predictive of lynx habitat
use based on our two evaluations. In the leave-one out validation, we
were able to predict the withheld individual lynx use to a high degree
based on resource selection patterns of the remaining lynx; the
Spearman’s rank correlation coeﬃcient (rs) for winter and summer
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Fig. 5. Predicted relative probability of use for Canada lynx (Lynx canadensis) in spruce beetle (Dendroctonus ruﬁpennis)-impacted forests of southwestern Colorado,
USA. Maps were generated from our top resource selection functions (RSF) at the landscape scale (second-order selection; Johnson 1980) during winter and summer.

trees than expected under random conditions. This discovery was in
contrast to our initial prediction and to previous research in the
northern Rocky Mountains in terms of the importance of mature, live
forest structures (Holbrook et al., 2019b; Kosterman et al., 2018;
Squires et al., 2010). However, our ﬁrst prediction was more supported
at a ﬁner resolution based on ﬁeld data collected at lynx locations
within home ranges. Here, lynx more generally selected forests with
greater live components of subalpine ﬁr and live canopy of Engelmann
spruce. Our second prediction was generally supported across scales in
that lynx selected areas with higher Engelmann spruce-subalpine ﬁr
subcanopy at the landscape extent as well as higher horizontal cover
within home ranges. Furthermore, Canada lynx exhibited a functional
response in habitat use whereby they increasingly selected for attributes such as horizontal cover and live canopy of Engelmann spruce as
they became rarer within lynx home ranges. Collectively, this information indicated that: (1) Canada lynx actively use and select forests
impacted by spruce bark beetles, especially trees in larger size classes;
(2) live trees remaining are important to maintain lynx habitat, and (3)
horizontal cover from Engelmann spruce-subalpine ﬁr subcanopy are
strongly selected by Canada lynx within the context of spruce-beetle
impacted forests. This research provides the ﬁrst assessment of how
Canada lynx, a specialized forest carnivore, navigated a disturbed
landscape created by an extensive bark-beetle outbreak. Developing
these understandings is particularly timely to conservation science and
land management as climate change increasingly alters patterns of
disturbance in boreal and subalpine forests.
Our ability to model how Canada lynx responded to disturbance at
broad scales required new approaches for mapping forest characteristics in areas severely impacted by spruce beetles (Savage et al., 2017).
This approach leveraged the Landsat imagery archive, zero-inﬂated
models, and machine learning to predict percent canopy cover of the 4
dominant conifers on our study area and associated sub-canopies. To
construct remotely-sensed maps that accurately depicted tree mortality
from beetles at a scale consistent with lynx resource use, Savage et al.
(2017) quantiﬁed forest metrics in the ﬁeld on an extensive array of
vegetation plots randomly distributed across the beetle-impacted
landscape; these plots were central to model building and training.
Analyses from Savage et al. (2017) demonstrated that the composition
of the surviving subcanopy was heterogeneous and thus critical to
consider when evaluating questions associated with wildlife. For example, these maps allowed us to spatially delineate the subcanopies
dominated by Engelmann spruce and subalpine ﬁr in stands with high
beetle mortality, which were important to Canada lynx at a landscape
scale.

functional response for the size of beetle-killed trees (Fig. 7), indicating
they increasingly selected for larger-diameter beetled-killed trees when
smaller dead trees were more available in home ranges (Fig. 7; Appendix C). Further, lynx exhibited patterns of additive use and consistent selection for relative density of snowshoe hares, tree density of
subalpine ﬁr 7.6–12.4 cm (3–4.9 in.) in diameter, and tree size of
quaking aspen. Additive use and consistent selection was a situation
where lynx exhibited additive use (intercept was greater than 0 and
thus above the 1:1 proportional use), but the slope did not diﬀer from 1
as availability increased (Appendix C). The remaining two responses for
lynx during winter, which were associated with tree density of Engelmann spruce 12.7–22.6 cm (5–8.9 in.) in diameter and the basal area
of dead trees, were more variable and less conclusive than the other
responses (Appendix C). In summer, we observed only one signiﬁcant
response of lynx to forest characteristics, which (similar to winter) indicated lynx increasingly selected areas with higher horizontal cover
when horizontal cover was less available within their home ranges
(Fig. 8; Appendix C). This response also highlighted that lynx consistently selected for higher horizontal cover than expected given
availability. The remaining responses did not statistically deviate from
proportional habitat use (Fig. 8).
4. Discussion
Our overarching goal was to provide conservation tools that identiﬁed the conditions where management actions within spruce beetleimpacted forests could occur without impacting the resource requirements of a federally-listed species – the Canada lynx. Prior to beetle
impacts, Canada lynx in the Southern Rocky Mountains generally occupied mature spruce-ﬁr forests dominated by older trees (i.e.,
200–350 years old) with live canopy cover where some trees exceeded
600 years in age (Ryerson et al., 2003; Whipple and Dix, 1979). Over
the last 600 years in the San Juan Mountains of southern Colorado,
western spruce budworm (Choristoneura occidentalis) outbreaks were
regionally synchronous at 25- to 40-yr intervals with larger events at
83-yr intervals (Ryerson et al., 2003). However, spruce bark-beetles
created a novel landscape for the management of this reintroduced lynx
population by removing the live canopy about 8–10 years (≈ 2007
initial outbreak) before our study began (2015–2017). This disturbance
was unprecedented to the land managers and silviculturists responsible
for managing lynx habitat in the Southern Rockies.
We demonstrated that Canada lynx in beetle-impacted forests selected home ranges, use-areas within home ranges, and movement
paths in forests with higher tree mortality and generally larger diameter
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rigorous construct that evaluated variation in selection across diﬀerent
levels of resource availabilities (Holbrook et al., 2019a, 2019b).
Functional responses that examine how resource use changes across
a gradient in availability are helpful to understand the complexities of
selection, including the variation of selection behavior across individuals (Beyer et al., 2010; Hebblewhite and Merrill, 2008; Mysterud
and Ims, 1998; van Beest et al., 2015). Carnivores have been shown to
exhibit functional responses to diﬀerent classes of forest structure
(Holbrook et al., 2017a), prey abundance (Zimmermann et al., 2015),
and avoidance from motorized winter recreation (Heinemeyer et al.,
2019; Squires et al., 2019). Consistent with our predictions, we documented that Canada lynx in winter exhibited particularly strong positive functional responses for horizontal cover, canopy cover of live
Engelmann spruce, and for larger beetle-killed trees (≈ 20 cm in diameter). Similar to lynx in non-disturbed landscapes with live canopy
cover (Holbrook et al., 2017a; Ivan and Shenk, 2016; Squires et al.,
2010), the consistency and narrow range of use that Canada lynx exhibited for horizontal cover within home ranges impacted by beetle
outbreak was striking. In other words, Canada lynx that occupied
generally lower quality home ranges with low horizontal cover were
highly selective in using patches of high horizontal cover, whereas
those lynx with abundant horizontal cover relaxed their selection. Similarly, lynx actively selected forest patches of large-diameter, beetlekilled trees when they were rare in home ranges and used this resource
in proportion to availability when abundant. Understanding how selection diﬀers over environmental gradients that vary in availability has
important ramiﬁcations to timber salvage and other forest management
activities in disturbed landscapes.
Salvage logging in disturbed landscapes can reduce biodiversity and
therefore may be viewed as inappropriate in protected areas (Thorn
et al., 2018). However, complex socio-economic interactions between
natural disturbance processes and the desire to promote timber salvage
often result in a cascade of ecological and environmental consequences
that are poorly understood in actively managed landscapes (Leverkus
et al., 2018). Delays in harvesting beetle-killed trees post-disturbance
can signiﬁcantly reduce their value at the mill (Loeﬄer and Anderson,
2018). This includes the mill value of Engelmann spruce (Vaughan,
2016), the primary tree species impacted by spruce bark-beetles in lynx
habitat of the Southern Rockies. Thus, ecologists and managers require
tools that balance both the social and economic constraints of tree
salvage with the legal and ethical needs to promote sensitive species
conservation. The fact that Canada lynx selected higher levels of beetlekilled trees at the landscape and home range scales and exhibited a
positive functional response for beetle-killed trees, creates a management challenge relative to tree salvage. Canada lynx also selected home
ranges with abundant live spruce-ﬁr trees within beetle-impacted
landscapes; areas selected by lynx within home ranges supported approximately 2.5 times the number of live subalpine ﬁr trees from 3 to
8.9 in. DBH (7.6–22.6 cm) compared to areas randomly available.
Managers in the Southern Rockies often must consider the need to
reduce fuel loadings in beetle-impacted forest to address a perceived
risk of increased ﬁre (Pelz et al., 2015). Mitigation eﬀorts that reduce
potential ladder fuels for ﬁres also decrease the high horizontal cover
from spruce and ﬁr subcanopies required by lynx and hares. These
management actions may also be contrary to current lynx management
directions (USDA Forest Service, 2008) and to our observed patterns of
selection. Fires in subalpine forests of the Southern Rockies are naturally infrequent, but extensive and stand-replacing events (Sibold et al.,
2006) with no indication that recent spruce beetle outbreak has altered
ﬁre severity (Andrus et al., 2016). The severity of these ﬁres immediately post-disturbance (&lt; 5 yr) are mostly inﬂuenced by weather
conditions, topography, and pre-outbreak basal area (Andrus et al.,
2016). However, Carlson et al., (2017) found that multiple disturbances
in the Southern Rockies such as high-severity spruce beetle outbreaks
prior to ﬁre could delay vegetation recovery through complex ecological impacts aﬀecting forest soils, seed sources, and delayed sprouting.

Fig. 6. (a) Cumulative percent of withheld Canada lynx (Lynx canadensis) locations across our predicted probabilities of lynx use in spruce beetle
(Dendroctonus ruﬁpennis)-impacted forests of southwestern Colorado, USA. We
generated this using our top landscape-scale resource selection function (RSF)
during winter. The x-axis represents 10 equal area RSF bins ranging from high
to low relative probability of use. The intersection of the “Observed” curve and
the horizontal line indicates the RSF bin that was required to capture 95% of
withheld lynx use. The diagonal line indicates the expected curve if withheld
lynx locations were randomly distributed across the predicted relative probabilities of lynx-use. The ﬁgure indicates the map of predicted lynx-use performed better than random expectation. (b) Based on the results in (a), we
generated the binary map of the probability of lynx use during both winter and
summer. For instance, in winter areas that were classiﬁed as “Selected”
(1533 km2) indicate the RSF scores that captured 95% of the withheld lynx use,
whereas areas termed “Less Selected” (1528 km2) contained the remaining 5%
of lynx locations.

Ecologists and forest managers alike are interested in understanding
how changes in habitat condition inﬂuence the distribution, demography, and resource selection for sensitive species in managed landscapes (Boyce et al., 2002; Johnson, 1980; Leverkus et al., 2018; Thorn
et al., 2018). Although resource selection analyses are foundational to
our collective understanding of habitat relationships, these studies have
well documented and implicit limitations that include: sensitivities to
the deﬁnition of availability (Beyer et al., 2010; Northrup et al., 2013);
confusion in terminology (Lele et al., 2013); functional responses in
habitat use that violate the constant selection assumption (Mysterud
and Ims, 1998); or failing to account for inﬂuences of competition,
density-dependence, and predation on resource selection (McLoughlin
et al., 2010; van Beest et al., 2015). We acknowledge the complexity
involved in understanding how Canada lynx interact with disturbed
landscapes. Our ability to document demographic responses and interspeciﬁc relationships of lynx in response to landscape-level disturbance was outside the scope of our study. However, our multistage
approach that combined the analytical strengths of resource selection
analyses and the resulting predictive maps of lynx use, coupled with
functional responses to diﬀering environmental gradients, provided a
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Fig. 7. Functional responses in habitat use
during the winter at the home range scale
for male and female Canada lynx (Lynx canadensis) in spruce beetle (Dendroctonus ruﬁpennis)-impacted forests of southwestern
Colorado, USA. The diagonal line indicates
random (i.e., proportional) habitat use and
conﬁdence bounds are 90% CIs. Each data
point represents the mean value at used and
available locations for each lynx ( ± 1 SE).
An asterisk (*) at the top left indicates the
slope ≠ 1, and thus a statistical response
(α = 0.10). Covariate codes POTR, PIEN,
ABLA indicate quaking aspen (Populus tremuloides), Engelmann spruce (Picea engelmannii), and subalpine ﬁr (Abies lasiocarpa), respectively, while QMD, TPA, and
BA indicate quadratic mean diameter, trees
per acre, and basal area. Covariates were
only evaluated if they were included in the
top model from the third-order resource selection function.

conditions, mountain pine beetle can promote the development of
spruce-ﬁr understories (Perovich and Sibold, 2016; Sibold et al., 2007),
which could improve some lynx habitat in western Colorado over time.
In lodgepole pine forests, understory trees experienced greater annual
growth following outbreaks of mountain pine bark beetle for multiple
tree species (lodgepole pine, subalpine ﬁr, and Engelmann spruce;
Rhoades et al., 2017). Thus, silvicultural prescriptions that protect and
promote the restoration of the forest understory dominated by spruceﬁr would promote conditions selected by Canada lynx. In Colorado, for
example, subalpine ﬁr recruitment was most abundant in uncut, unburned, pine beetle-killed stands compared to stands that received
salvage logging or burning after the beetle outbreak (Rhoades et al.,
2018). Salvage logging also reduced the growth of lodgepole pine and
subalpine ﬁr regeneration following beetle-impacts due to the importance of shade in the development of a spruce-ﬁr understory (Collins
et al., 2011). Thus, silvicultural prescriptions for tree salvage that
protect and promote the existing spruce and subalpine ﬁr understory
and maintain the necessary shading, would be most consistent with
conservation of lynx habitat in spruce beetle-impacted forests.
Similar to other populations (Mowat et al., 1996; O’Donoghue et al.,
1998; Poole, 1994; Simons-Legaard et al., 2016; Squires and Ruggiero,
2007), snowshoe hares account for the primary biomass of prey for
Canada lynx in the Southern Rockies (Ivan and Shenk, 2016). However,
snowshoe hare populations occur at low densities (&lt; 1.0 hare/ha) in
the Southern Rockies across seasons and forest types (Ivan et al., 2014).
Given hare density and survival considerations, managers would favor a

In the Paciﬁc Northwest, outbreaks of bark beetles and a defoliator
species like western spruce budworm (Choristoneura freemani) reduced
wildﬁre severity in a manner that could enhance landscape-level resistance to ﬁre impacts (Meigs et al., 2016). Thus, vegetative characteristics of insect-impacted forests that support Canada lynx are in
constant ﬂux that change over time and may require additional study.
Although our results advance lynx conservation and management in
beetle-impacted forests, better mechanistic understandings are needed
to best balance conservation planning for Canada lynx with the most
pressing forest management and environmental challenges such as
long-term ﬁre and fuels management in spruce beetle-impacted forests.
We assumed one important underlying mechanism regarding why
Canada lynx preferentially selected forest stands composed of largediameter and abundant beetle-killed trees with developed live
Engelmann spruce-subalpine ﬁr understories was the relationship between high horizontal cover and snowshoe hare abundance (Berg et al.,
2012; Hodges, 2000; Ivan et al., 2014; Lewis et al., 2011). In other
words, we assumed that high tree mortality in beetle-impacted forest
increased the development of subcanopy vegetation, that in turn, increased the density of snowshoe hares. Insect outbreaks can dramatically change the structure and composition of spruce-ﬁr (Veblen et al.,
1991) and lodgepole pine-dominated (Amoroso et al., 2013; Pelz et al.,
2015) forests for many decades. Spruce and pine beetle outbreaks
generally release shade-tolerant understory trees, especially subalpine
ﬁr (Carlson et al., 2020; Hawkins et al., 2012; Pelz et al., 2015; Rhoades
et al., 2017; Veblen et al., 1991). Dependent on seed sources and site
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Fig. 8. Functional responses in habitat use during
the summer at the home range scale for male and
female Canada lynx (Lynx canadensis) in spruce
beetle (Dendroctonus ruﬁpennis)-impacted forests of
southwestern Colorado, USA. The diagonal line indicates random (i.e., proportional) habitat use and
conﬁdence bounds are 90% CIs. Each data point
represents the mean value at used and available
locations for each lynx ( ± 1 SE). An asterisk (*) at
the top left indicates the slope ≠ 1, and thus a statistical response (α = 0.10). Covariate codes PIEN,
ABLA, QMD indicate Engelmann spruce (Picea engelmannii), subalpine ﬁr (Abies lasiocarpa), and
quadratic mean diameter, respectively. Covariates
were only evaluated if they were included in the top
model from the third-order resource selection function.

subalpine ﬁr trees, that potentially conﬂict with tree salvage depending
on implementation strategies and prescriptions. Both lynx and hare
depend on the high horizontal cover provided by spruce-ﬁr regeneration, which increase in areas of high tree mortality. However, we recognize the conundrum between forest management that promotes
forest subcanopy for a federally listed species, like Canada lynx, with
the need to use mechanical or ﬁre treatments every 20 years to reduce
fuel loads and perceived ﬁre risk (Pelz et al., 2015). Ecologically, these
interventions are outside the range of natural variation in boreal forests
of the Southern Rockies and are only practical in areas of particularly
high resource or infrastructure value, or to promote human safety (Pelz
et al., 2015). This challenge is especially acute in this new era of
“megadisturbances” that threaten the boreal and subalpine forests
(Gauthier et al., 2015; Millar and Stephenson, 2015; Price et al., 2013;
Sherriﬀ et al., 2011) required by both forest-dependent species and
forest-product based communities. Thus, in the Southern Rockies, the
management of Canada lynx in the spruce-beetle impacted forests
would include silvicultural prescriptions that provide forest structures
and compositions that are central to the species’ resource selection.
These actions could occur in spatially targeted areas that balance the
regions of highest conservation value with approaches that also facilitate timber salvage in an ecosystem that is dominated by infrequent,
stand-replacing ﬁre events (Sibold et al., 2006), and where short term
(&lt; 5 yr) ﬁre severity is largely driven through complex interactions of
weather conditions, topography, and pre-outbreak basal area (Andrus
et al., 2016).

landscape mosaic of mature spruce-ﬁr forests and early lodgepole pine
over thinned stands if the goal is to enhance snowshoe hare populations
and by extension Canada lynx (Ivan et al., 2014). Mature spruce-ﬁr
forests are most valuable to hares in the Southern Rockies due to their
temporal persistence and spatial extent of this cover type. Contrary to
expectation, patterns of occupancy for snowshoe hares in the Southern
Rockies was not materially altered by spruce or mountain pine beetle
outbreaks (Ivan et al., 2018). However, red squirrels exhibited the
strongest negative response to bark-beetle outbreaks of any species
sampled (Ivan et al., 2018), presumably due to their dependence on
cone crops (Wheatley et al., 2002). In Colorado, Canada lynx increase
their reliance on red squirrels (≈ 70% of diet) during periods of low
snowshoe hare density (Ivan and Shenk, 2016). The periods when lynx
use of squirrels was high in diets and hare use was low corresponded to
when females ceased kitten production for approximately 2 years
(Shenk, 2009). Thus, Canada lynx in the Southern Rockies are at greater
risk for potentially decades due to their increased vulnerability to reduced hare abundance given much lower red squirrel densities in
beetle-impacted forests. Silvicultural prescriptions that encourage
spruce-ﬁr understory regeneration for hares in beetle-impacted forests
and that also speed the development of cone-bearing trees for red
squirrels would further eﬀorts to conserve lynx across the species’
range.
5. Conclusion
Our research advances the scientiﬁc understandings of Canada lynx
habitat-use in spruce-beetle impacted forests and highlighted potential
management challenges and opportunities for timber salvage. Our research also provides spatial tools that inform lynx conservation in disturbed landscapes of the Southern Rockies. Resource selection surfaces
(continuous and binary) of predicted use by Canada lynx allow managers to distinguish the beetle-impacted landscapes most selected by
lynx from those areas of lesser conservation value where tree salvage
may have priority. Across spatial scales, we also demonstrated that
Canada lynx select forest conditions, such as large-diameter beetlekilled trees in areas of abundant spruce-ﬁr understory and live

CRediT authorship contribution statement
John R. Squires: Conceptualization, Methodology, Investigation,
Funding acquisition, Writing draft. Joseph D. Holbrook:
Conceptualization, Methodology, Formal analysis, Writing draft.
Lucretia E. Olson: Conceptualization, Methodology, Editing. Jacob S.
Ivan: Conceptualization, Methodology, Investigation, Editing. Randal
W. Ghormley: Conceptualization, Methodology, Investigation, Editing.
Rick L. Lawrence: Conceptualization, Methodology, Editing.
12

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Declaration of Competing Interest

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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.
Acknowledgements
We thank Region 1 of the U.S. Forest Service, the Rio Grande
National Forest, and Colorado Parks and Wildlife for logistical and ﬁnancial support. We thank Montana State University for additional logistical support. We acknowledge the dedication and persistence by
Doug Clark, Jeﬀ Dacey, Eric Newkirk, and Michael Sirochman that was
needed to capture and instrument Canada lynx across our study area.
We also acknowledge the considerable eﬀort required by Mark
Ratchford, Jamie Goethlich, Garrett Smith, Robert Ritson, Josh
Downes, Trevor Besosa, Cara Thompson, Taelor Mullins, Grete WilsonHenjum, Aaron Groves, Adam Kehoe, Allison Bernhisel, and Hannah
Leeper to collect vegetation data at used and available sites throughout
the study area.
Appendix A. Supplementary material
Supplementary data to this article can be found online at https://
doi.org/10.1016/j.foreco.2020.118400.
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                  <text>Appendix A.
Supplement Figure 1. Schematic of field sampling protocol at Canada lynx (Lynx canadensis)
GPS use and available locations to assess resource selection within lynx home ranges (i.e., thirdorder selection).

�Supplement Table 1. Model selection results for our landscape scale (second-order) resource selection functions (RSF) characterizing
selection by Canada lynx (Lynx canadensis) in spruce beetle (Dendroctonus rufipennis)-impacted forests during winter in
southwestern Colorado, USA. Covariate codes POTR, PIEN, ABLA, PSME indicate quaking aspen (Populus tremuloides),
Engelmann spruce (Picea engelmannii), subalpine fir (Abies lasiocarpa), and Douglas-fir (Pseudotsuga menziesii), respectively.
Abbreviations LL = log-likelihood, AICc = Akaike's information criterion corrected for sample sizes, and w = model weights.
Thematic assessment
Canopy cover

Sub-canopy tree count

Canopy and subcanopy

Model description
Abiotic + ABLA
Abiotic + PIEN
Abiotic + PIEN-ABLA
Abiotic + POTR
Abiotic + Dead canopy
Abiotic + ABLA
Abiotic + PIEN
Abiotic + PIEN-ABLA
Abiotic + POTR
Abiotic + PSME

LL
-25400.87
-25519.16
-25534.85
-25443.78
-24016.89
-25144.49
-25161.53
-24901.59
-25431.92
-25068.59

∆AICc
2767.94
3004.54
3035.92
2853.77
0.00
485.80
519.88
0.00
1060.66
334.00

w
0
0
0
0
1
0
0
1
0
0

Rank
2
4
5
3
1
3
4
1
5
2

Abiotic + Dead canopy + PIEN-ABLA
subcanopy
Abiotic + Dead canopy + PIEN-ABLA
subcanopy + PSME subcanopy
Abiotic + Dead canopy + POTR canopy +
PIEN-ABLA subcanopy + PSME subcanopy
Abiotic only

-23816.91

587.31

0

3

-23567.53

90.57

0

2

-23521.25

0.00

1

1

-25536.73

4022.97

0

4

Null

-30927.39

14790.28

0

5

�Supplement Table 2. Model selection results for our landscape scale (second-order) resource selection functions (RSF) characterizing
selection by Canada lynx (Lynx canadensis) in spruce beetle (Dendroctonus rufipennis)-impacted forests during summer in
southwestern Colorado, USA. Covariate codes POTR, PIEN, ABLA, PSME indicate quaking aspen (Populus tremuloides),
Engelmann spruce (Picea engelmannii), subalpine fir (Abies lasiocarpa), and Douglas-fir (Pseudotsuga menziesii), respectively.
Abbreviations LL = log-likelihood, AICc = Akaike's information criterion corrected for sample sizes, and w = model weights.
Thematic assessment
Canopy cover

Sub-canopy tree count

Canopy and subcanopy

Model description
Abiotic + ABLA
Abiotic + PIEN
Abiotic + PIEN-ABLA
Abiotic + POTR
Abiotic + Dead canopy
Abiotic + ABLA
Abiotic + PIEN
Abiotic + PIEN-ABLA
Abiotic + POTR
Abiotic + PSME

LL
-17090.43
-16950.72
-16982.84
-16981.31
-15576.81
-17056.79
-16806.79
-16878.48
-17083.10
-16641.30

∆AICc
3027.25
2747.82
2812.07
2809.00
0.00
830.97
330.97
474.35
883.59
0.00

w
0
0
0
0
1
0
0
0
0
1

Rank
5
2
4
3
1
4
2
3
5
1

Abiotic + Dead canopy + PSME subcanopy

-15228.09

558.83

0

3

Abiotic + Dead canopy + PIEN canopy + PSME
subcanopy + PIEN subcanopy
Abiotic + Dead canopy + PIEN canopy +
POTR canopy + PSME subcanopy + PIEN
subcanopy
Abiotic only

-14953.71

14.07

0

2

-14945.67

0.00

1

1

-17090.52

4279.70

0

4

Null

-20934.42

11953.48

0

5

�Supplement Table 3. Results from functional response analysis for male and female Canada lynx (Lynx canadensis) in spruce beetle
(Dendroctonus rufipennis)-impacted forests of southwestern Colorado, USA, during the winter and summer. Covariate codes POTR,
PIEN, ABLA indicate quaking aspen (Populus tremuloides), Engelmann spruce (Picea engelmannii), and subalpine fir (Abies
lasiocarpa), respectively, while QMD, TPA, and BA indicate quadratic mean diameter, trees per acre, and basal area.
Season

Winter

Summer

Covariate
Horizontal Cover

Intercept (90% CI)
33.63 (22.76-44.49)

Slope (90% CI)
0.48 (0.22-0.75)

R2
0.53

Response
Decreasing

Snowshoe Hare Pellets

1.89 (0-4.03)

1.48 (0.78-2.19)

0.61

Additive

PIEN Live Canopy Cover

5.27 (3.75-6.80)

0.27 (-0.14-0.67)

0.05

Decreasing

ABLA Live QMD

2.76 (2.01-3.50)

0.62 (0.38-0.86)

0.71

Decreasing

POTR Live QMD

2.01 (0.61-3.42)

0.65 (0.11-1.20)

0.30

Additive

QMD of Dead Trees

7.65 (6.22-9.08)

0.10 (-0.12-0.31)

-0.03 Decreasing

ABLA TPA (3-4.9 inches)

23.49 (3.20-43.77)

1.16 (0.18-2.14)

0.30

PIEN Dead TPA (5-9 inches)

40.76 (12.24-69.29)

0.42 (-0.42-1.26)

-0.02 Additive, but variable

BA of Dead Trees

64.82 (41.78-87.87)

-0.16 (-0.63-0.31)

-0.07 Decreasing, but variable

Horizontal Cover

41.91 (13.36-70.47)

0.35(-0.25-0.94)

0.10

Decreasing

Snowshoe Hare Pellets

2.07 (-6.38-10.52)

1.05 (-0.48-2.58)

0.19

Proportional

PIEN Dead QMD

6.97 (-0.81-14.74)

0.38 (-0.71-1.46)

-0.10 Proportional

ABLA Dead QMD

0.99 (-0.45-2.45))

1.23(0.44-2.03)

0.66

Additive

Proportional

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              <text>A specialized forest carnivore navigates landscape-level disturbance: Canada lynx in spruce-beetle impacted forests</text>
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              <text>&lt;span&gt;Canada lynx (&lt;/span&gt;&lt;em&gt;Lynx canadensis&lt;/em&gt;&lt;span&gt;) occupy cold wet forests (boreal and subalpine forest) that were structured by natural disturbance processes for millennia. In the Southern Rocky Mountains, at the species’ southern range periphery, Canada lynx habitat has been recently impacted by large-scale disturbance from spruce beetles (&lt;/span&gt;&lt;em&gt;Dendroctonus rufipennis&lt;/em&gt;&lt;span&gt;). This disturbance poses a challenge for forest managers who must administer this novel landscape in ways that also facilitate timber salvage. To aid managers with this problem, we instrumented Canada lynx with GPS collars to document their selection of beetle impacted forests at spatial scales that spanned from landscapes to movement paths. We used a use-availability design based on remotely-sensed covariates to evaluate landscape- and path-level selection. We evaluated selection at the home-range scale in beetle-kill areas based on vegetation plots sampled in the field to quantify forest structure and composition. We found that across all scales of selection, Canada lynx selected forests with a higher proportion of beetle-kill trees that were generally larger in diameter than randomly available. Within home ranges, Canada lynx selected forests with greater live components of subalpine fir and live canopy of Engelmann spruce. During winter, Canada lynx exhibited functional responses, or disproportionate use relative to availability, for forest horizontal cover, diameter of beetle killed trees, live canopy of Engelmann spruce (&lt;/span&gt;&lt;em&gt;Picea engelmannii&lt;/em&gt;&lt;span&gt;) and subalpine fir (&lt;/span&gt;&lt;em&gt;Abies lasiocarpa&lt;/em&gt;&lt;span&gt;), and additive use (and consistent selection) for relative density of snowshoe hares and density of subcanopy subalpine fir 3–4.9&amp;nbsp;in. (7.6–12.4&amp;nbsp;cm) in diameter. We discuss our results in the context of balancing resource needs of Canada lynx with the desire to salvage timber in beetle-impacted forests.&lt;/span&gt;</text>
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              <text>Squires, J. R., J. D. Holbrook, L. E. Olson, J. S. Ivan, R. W. Ghormley, and R. L. Lawrence. 2020. A specialized forest carnivore navigates landscape-level disturbance: Canada lynx in spruce-beetle impacted forests. Forest Ecology and Management 475:118400. &lt;a href="https://doi.org/10.1016/j.foreco.2020.118400" target="_blank" rel="noreferrer noopener"&gt;https://doi.org/10.1016/j.foreco.2020.118400&lt;/a&gt;</text>
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              <text>&lt;em&gt;Dendroctonus rufipennis&lt;/em&gt;</text>
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