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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

�Contact networks reveal potential for interspeciﬁc interactions of
sympatric wild felids driven by space use
JESSE S. LEWIS,1,6, KENNETH A. LOGAN,2 MAT W. ALLDREDGE,3 DAVID M. THEOBALD,4
SUE VANDEWOUDE,5 AND KEVIN R. CROOKS1
1

Department of Fish, Wildlife, and Conservation Biology, Graduate Degree Program in Ecology,
Colorado State University, Fort Collins, Colorado 80523 USA
2
Colorado Parks and Wildlife, Montrose, Colorado 81401 USA
3
Colorado Parks and Wildlife, Fort Collins, Colorado 80526 USA
4
Conservation Science Partners, Fort Collins, Colorado 80524 USA
5
Department of Microbiology, Immunology, and Pathology, Colorado State University, Fort Collins, Colorado 80523 USA
Citation: Lewis, J. S., K. A. Logan, M. W. Alldredge, D. M. Theobald, S. VandeWoude, and K. R. Crooks. 2017. Contact
networks reveal potential for interspeciﬁc interactions of sympatric wild felids driven by space use. Ecosphere 8(3):
e01707. 10.1002/ecs2.1707

Abstract. Competitive interactions between species are fundamental to understanding species assemblages, community dynamics, and ecological processes. Anthropogenic landscape change, particularly resulting from urbanization, can alter interspeciﬁc interactions; however, different forms of urbanization are
predicted to have contrasting effects on competitive interactions. We developed contact networks between
bobcats and pumas to evaluate (1) the potential for interspeciﬁc interactions between wild felids and (2) how
space-use metrics might change along the urban gradient, including low-density exurban development, wildland–urban interface, and wildland habitat, at both the population and individual level. We used an extensive
telemetry data set for bobcats and pumas across multiple study areas to evaluate four space-use metrics:
space-use overlap (used to deﬁne potential interactions among animals) and three additional contact network
metrics, including degree (the number of potentially interacting animals), in-strength (sum of space-use overlap
for animals), and equivalent social connectivity (ESC; considering both space-use extent and the amount of
space-use overlap). Space-use extent was an important predictor of potential social interactions as measured
by space-use metrics. Bobcats appeared to have a greater opportunity to interact with female pumas based
on space-use overlap, degree, and in-strength, which demonstrates that relative scale of space-use extent among
animals could be important for understanding interactions; ESC, however, was greater between bobcats and
male pumas, likely due to the larger space-use extent by male compared to female pumas and the positive
relationship between space-use extent and ESC. In addition, pumas and male bobcats exhibited a greater
opportunity to interact, based on space-use overlap, degree, and in-strength, and demonstrated higher ESC compared to female bobcats. Counter to our predictions, felids associated with urbanized grids or with greater
amounts of urbanization in their extent of space use did not appear to exhibit greater values of space-use metrics compared to animals with less exposure to urbanization; these results appear consistent with previous
research evaluating population characteristics of felids across broad scales in our study areas. Greater ESC for
male pumas and male bobcats suggests that males could be particularly important for facilitating connectivity of some ecological processes, such as the transmission of disease, through interspeciﬁc contact networks.
Key words: bobcat; competition; development; exurban; Felis rufus; mountain lion; networks; Puma concolor;
urbanization; wildland–urban interface.
Received 10 January 2017; accepted 19 January 2017. Corresponding Editor: Robert R. Parmenter.
Copyright: © 2017 Lewis et al. This is an open access article under the terms of the Creative Commons Attribution
License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited.
6

Present address: Conservation Science Partners, Fort Collins, Colorado 80524 USA.
E-mail: jslewis.research@gmail.com

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INTRODUCTION

extent and the strength of interactions among
individuals. Although promising, these methods
have not yet been applied to evaluate interspeciﬁc
interactions of species in North America.
Carnivore populations can be especially
impacted by anthropogenic landscape change,
which can alter population characteristics, spaceuse patterns, and interactions within and
between species (Crooks 2002, Gehrt et al. 2010,
Lewis et al. 2015b). Although prior research has
focused on intraspeciﬁc (i.e., within species)
interactions of carnivores in urban systems
(Gehrt et al. 2010), relatively few studies have
evaluated how urbanization inﬂuences interspeciﬁc (i.e., between species) interactions within
the carnivore community. The intensity of competition and intra-guild predation among carnivore species is predicted to vary along the
landscape gradient of urbanization (Crooks et al.
2010). At the urban extreme of the gradient, characterized by small, isolated habitat fragments
immersed within a human-dominated matrix,
the intensity of interspeciﬁc interactions is predicted to be relatively low due to the loss of larger, dominant predators and simpliﬁcation of the
ecological community (i.e., refugia hypothesis).
Interaction strength is expected to be moderate
at the natural end of the urban gradient, characterized by landscapes with relatively few to no
human residences, where dominant and subordinate predators can coexist broadly and exhibit
some degree of spatio-temporal avoidance
within areas of sympatry. The most intense interspeciﬁc interactions are expected to occur at
intermediate levels of urbanization, characterized by large areas of natural habitat adjacent to
the urban interface, where dominant predators
can still persist, but habitat and resource limitations heighten overlap in space use and thus
antagonistic encounters with subordinant species
(i.e., pile-up hypothesis).
Within the Felidae family, pumas (Puma concolor) and bobcats (Lynx rufus) are solitary with
similar social and spatial organization; typically,
adult females have smaller home ranges that
overlap little with neighboring females, whereas
adult males have larger home ranges that typically overlap one to several females and sometimes neighboring males (Sandell 1989, Sunquist
and Sunquist 2002, Logan and Sweanor 2010).
Across broad scales, the distribution of bobcats

Interactions among individuals are fundamental determinants of ecological communities, driving critical processes such as competition,
predation, trophic cascades, disease spread, and
ultimately the distribution and diversity of populations across ﬁne to broad scales (MacArthur
1972, Rosenzweig 1995, Terborgh and Estes
2010). Landscape pattern, including that modiﬁed by anthropogenic activities, can shape animal distributions and competitive interactions
and thus alters community-level processes (Forman 1995). In particular, urbanization can inﬂuence interactions of animals and lead to
substantial impacts to ecological communities
(Crooks and Soul�e 1999, Faeth et al. 2005).
Urbanization, ranging from low-density exurban
to high-density urban development (Theobald
2005), currently covers hundreds of million acres
globally (Schneider et al. 2009, Nickerson et al.
2011) and is projected to expand by hundreds of
millions of acres in the next few decades (Cohen
2003, Theobald 2005, Seto et al. 2011). Understanding how urbanization inﬂuences community interactions is essential to manage and
conserve animal populations in developed landscapes (Magle et al. 2012), for example, as it
relates to the spread of pathogens and zoonotic
diseases increasing in prevalence in landscapes
modiﬁed by humans (Daszak et al. 2000, Bradley
and Altizer 2007).
Social network analyses (i.e., contact networks,
graph theory, network theory) provide a powerful
tool to evaluate interactions among animals
(Newman 2003, Craft and Caillaud 2011, Godfrey
2013), allowing comparisons of networks of animals in relation to anthropogenic factors (Wey
et al. 2008). Various disciplines have created a
variety of metrics within the network theory
framework (e.g., social networks, landscape connectivity networks, technological networks) that
might be applied to analyses of interactions
among individuals. For example, unique metrics
developed in the landscape connectivity literature
that consider both spatial extent and strength of
connectivity, such as probability of connectivity
(PC; Saura and Pascual-Hortal 2007) and equivalent connectivity (EC; Saura et al. 2011), have
potential to be effectively applied to social network analysis by considering both space-use
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between the extent of space use for an animal
and the number of potential interspeciﬁc interactions. Further, we expected that male pumas,
given their larger home ranges (Logan and Sweanor 2001), would interact with a greater number
of bobcats, but that female pumas would exhibit
greater spatial overlap and in-strength with bobcats due to a more similar spatial scale in their
extents of space use. Similarly for bobcats, we
expected males to interact with a greater number
of pumas, compared to females, and exhibit
greater space-use overlap and in-strength due to
more similar scales in their extents of space use.
We also predicted that because males would use
areas of greater spatial extent and interact with a
greater number of felids, their ESC would be
greater than that for females. At both the population and individual levels, we expected elevated
opportunities for interspeciﬁc interactions (based
on space-use metrics) in urbanized landscapes as
predicted by the pile-up hypothesis (Crooks
et al. 2010), speciﬁcally within exurban development and WUI habitat compared to wildland
areas.

and pumas overlaps extensively (Sunquist and
Sunquist 2002) and both species overlap in their
space use on ﬁner scales in wildland habitat
(Koehler and Hornocker 1991, Hass 2009, Lewis
et al. 2015a). In addition, aggressive interactions
occur between these felids and pumas will kill
bobcats (Koehler and Hornocker 1991, Harveson
et al. 2000). Both species are sensitive to anthropogenic disturbance but are also adaptable and
able to persist in areas associated with urbanization (Crooks 2002, Beier et al. 2010, Riley et al.
2010). Bobcats and pumas typically occur at low
population densities (Sandell 1989, Sunquist and
Sunquist 2002); greater densities and overlap in
space use between bobcats and pumas in areas
inﬂuenced by urbanization could potentially lead
to increased levels of competition, intra-guild predation, and cross-species disease transmission
(Franklin et al. 2007, Crooks et al. 2010). For
example, pumas acquired the bobcat strain of
feline immunodeﬁciency virus (FIV) in urbanized
California, presumably as a result of increased
overlap of space use and contact rates near urban
areas (Franklin et al. 2007). Although these felids
appear to exhibit greater potential to interact at
ﬁne temporal scales in urbanized habitat (Lewis
et al. 2015a), no empirical studies have explicitly
evaluated how urbanization inﬂuences space-use
overlap and interspeciﬁc interactions among
known individuals of bobcats and pumas.
We developed contact networks between bobcat and puma populations to understand how
the potential for interspeciﬁc interactions varied
across a gradient of urbanization. Using an
extensive telemetry data set, we evaluated interspeciﬁc space-use patterns between bobcats and
pumas across wildland, exurban development,
and wildland–urban interface (WUI) habitat.
Our analyses focused on four space-use metrics,
including space-use overlap (used to deﬁne potential
interactions among animals), degree (the number
of potentially interacting animals), in-strength
(sum of space-use overlap for animals), and
equivalent social connectivity (ESC; considering
space-use extent and overlap between animals).
We tested speciﬁc predications regarding (1)
potential interspeciﬁc interactions between bobcats and pumas and (2) how space-use metrics
might change along the urban gradient at both
the population and individual level. For each
species, we predicted a positive relationship
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METHODS
Study area
We conducted our research across two study
areas in Colorado, United States, that exhibited
varying degrees of urbanization and human
inﬂuence. In 2009–2010, we worked on the Western Slope (WS) of Colorado on the Uncompahgre Plateau near the towns of Montrose and
Ridgway (Fig. 1). Common vegetation included
pinyon pine (Pinus edulis), juniper (Juniperus
osteosperma), ponderosa pine (Pinus ponderosa),
aspen (Populus tremuloides), gambel oak (Quercus
gambelii), and big sagebrush (Artemesia tridentata). We divided the WS study area into two
sampling grids. The southern grid 1 sampled
low-density residential development on Log Hill
Mesa (population = 1041; U.S. Census Bureau
2010); residential parcel sizes were distributed,
from most to least numerous, across 5 acre,
2 acre, 1 acre, ≥5 acre, and ≥40 acre properties.
Within areas of exurban development, travel corridors of natural habitat and open space property, often with associated recreation trails, were
present. The northern grid 2 sampled primarily
undeveloped, wildland habitat, although some
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Fig. 1. Locations of two study areas in Colorado, United States, which exhibited varying levels of urbanization,
where bobcats and pumas were ﬁt with telemetry collars. The more rural Western Slope (WS) was characterized
by an exurban development south grid and a wildland north grid during 2009–2010. The more urbanized Front
Range (FR) study area was characterized by a wildland–urban interface (WUI) south grid and wildland north
grid during 2010–2012.

Animal capture and telemetry data

small areas of low-density human residences and
hunting camps occurred on or near the grid.
In 2010–2012, we worked on the more urbanized
Front Range (FR) of Colorado (Fig. 1). Common
vegetation included ponderosa pine, Douglasﬁr (Pseudotsuga menziesii), juniper, aspen, and
mountain mahogany (Cercocarpus montanus). A
network of open space properties with recreational trails occurred across the study area.
Similar to the WS, we divided the FR study area
into two sampling grids. The southern grid 1
occurred adjacent to the wildland–urban interface associated with the City of Boulder (population = 97,385, U.S. Census Bureau 2010) and was
characterized by open space properties with
some human residences on or near the grid. The
northern grid 2 occurred across undeveloped
public properties, although a small number of
rural human residences occurred on private
property inholdings. See Lewis et al. (2015b) for
an expanded description of the study area.

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Bobcats were captured in black metal-wire
cage traps (40 9 55 9 100 cm) with attractants
from mid-June through March 2009–2011. All
cage traps were ﬁt with very high frequency
(VHF) trap transmitters (Telonics, Mesa, Arizona,
USA) that indicated when trap doors closed.
Captured bobcats were immobilized through
hand injection of a combination of ketamine
(10.0 mg/kg) and xylazine (1.0 mg/km), and
yohimbine (0.125 mg/km) was used to reverse
xylazine (Kreeger et al. 2002). We ﬁt GPS collars
(210–280 g; Telemetry Solutions, Concord, California, USA) with timed drop-off mechanisms
and degradable cotton spacers along the collar
belting on adult-sized bobcats. GPS collars were
programmed to record locations on the WS every
5–7 h and on the FR every 3–4 h. GPS collars
were also equipped with VHF beacons that
lasted up to 2 yr, which allowed for the continued monitoring of animals to assess site ﬁdelity

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for animals in which data were unavailable for an
entire year, estimates of space use were assumed
to be representative for annual periods; although
GPS locations might be unavailable for some animals over annual periods (due to GPS battery
expiration), VHF tracking of those animals
enabled continued monitoring to assess whether
individuals maintained site ﬁdelity to an area.
Each individual was assigned to the grid with the
greatest proportion of its telemetry locations (for
further description about time spent on grid techniques, see Lewis et al. 2015b). One male bobcat
(i.e., M5) on the FR left the study area immediately after being captured and ﬁt with a GPS collar, and thus, this individual was excluded from
analyses.
Space-use patterns of individuals were calculated by estimating the utilization distribution
(UD) using telemetry locations of animals. For
animals ﬁt with GPS collars (bobcats n = 37;
pumas n = 25), UDs were estimated with the
Brownian bridge movement model (BBMM;
Horne et al. 2007) at 30-m resolution with the
mkde package (Tracey 2014) in program R (R
Development Core Team 2014). The BBMM is
appropriate to use with ﬁne-scale GPS data sets
because it is designed to be used with temporally
correlated telemetry locations, incorporates information about animal movement into estimates of
space use, and accounts for location error in estimates of UDs (Horne et al. 2007, Walter et al.
2011). For pumas on the WS ﬁt with VHF collars
(n = 4), UDs were estimated with the ﬁxed kernel
density home range estimator because data were
not temporally correlated (i.e., independent locations obtained approximately two weeks apart);
we used likelihood cross-validation to estimate
the smoothing parameter (Horne and Garton
2006) in the Animal Space Use package (Horne
and Garton 2009). We used the 99% cumulative
probability of space use for all analyses.
Both direct (the number of physical contacts
between animals) and indirect (amount of shared
space use) measures of animal interactions are
important for understanding patterns of competition, predation, and disease transmission. Identifying direct interactions can be achieved
through proximity collars or evaluating concurrent location data (Hamede et al. 2009, Schauber
et al. 2015); however, challenges arise when spatial sampling techniques vary between animals,

to an area. Bobcats were weighed, sex was
recorded, and age was estimated based on tooth
development (Crowe 1975), wear, and coloration.
Pumas were captured from 2005 to 2011 with the
use of hounds and baited cage traps, immobilized with Telazol (5.0–9.0 mg/kg) or a combination of medatomadine and ketamine, and ﬁt
with GPS collars (Lotek, Newmarket, Ontario,
Canada; Northstar, King George, Virginia, USA;
Vectronics, Berlin, Germany) programmed to
record a location every 5–7 h on the WS and
3–4 h on the FR. To increase the duration of time
that location data were acquired for pumas on
the WS, four individuals were ﬁt with VHF collars (Lotek) and aerial positional locations were
obtained approximately every 2 weeks. Pumas
were also weighed, ﬁt with eartags, and age and
sex were recorded. Methods for animal capture
were approved by the Colorado State University
Animal Care and Use Committee (11-2453A).

Contact networks and metrics
To evaluate the potential for interspeciﬁc interactions, we estimated space use for each individual ﬁt with a telemetry collar and then calculated
four metrics using these data. First, we estimated
space-use overlap among all individuals and used
this information to calculate three additional contact network metrics: degree, in-strength, and ESC.
We refer to these measures collectively as spaceuse metrics.
Telemetry data were used to estimate space use
for felids that occurred on our sampling grids
from June 2009 to June 2010 on the WS and
September 2010 to September 2011 on the FR.
Motion-activated cameras also operated during
these periods of time (for additional details, see
Lewis et al. 2015b) and assisted in evaluating
which animals occurred on our sampling grids
and assessing site ﬁdelity of animals during our
study. For animals known to occur on our grids
during the focal periods, telemetry data before
and after focal periods were used, if necessary, to
estimate space use for an entire year (e.g., if
telemetry data collection began in November 2010
for an animal, then space use would be estimated
through October 2011). Because felids exhibit spatial ﬁdelity (Sunquist and Sunquist 2002), we
assumed that space use immediately before or
after our focal period was similar and thus representative to that during focal periods. In addition,
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in program R (R Development Core Team 2014).
We used contact network metrics that evaluated
patterns of space-use overlap among animals.
Degree measures the number of edges connected
to an individual (Newman 2003), which reﬂects
the number of animals with which an individual
potentially interacts (Wey et al. 2008). In-strength
was calculated by summing space-use overlap
(as estimated by UDOI). Edge weight (i.e., relationship strength) was calculated by estimating
the space-use overlap (using the UDOI statistic)
between each pair of animals, which evaluates
the potential for repeated interactions between
individuals (Wey et al. 2008). In-strength was
then calculated by summing all the edge weights
associated with a focal individual, and can effectively measure interaction strength among animals (Godfrey et al. 2010).
The EC metric, originating from landscape
ecology, evaluates how habitat patch size and
connectedness affect landscape connectivity
(Saura et al. 2011). Larger habitat patches are
more effective than smaller patches in maintaining biodiversity, and more connected habitat
patches facilitate the ﬂow of ecological processes,
including animal movement, through the landscape (Forman 1995, Rosenzweig 1995, Crooks
and Sanjayan 2006). Thus, with the EC metric,
larger habitat patches that are well connected to
other patches result in greater landscape connectivity. Here, we apply the EC metric analogously
to contact networks where individuals with
greater space-use extents encounter more of the
landscape and likely interact with more individuals, and increased overlap in space use between
animals can increase potential interactions.
Thus, within a contact network framework, we
interpreted the EC metric as:
vﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃ
uX
n
u n X
EC ¼ t
(2)
ai aj p�ij

when location data sets for study animals exhibit
missing locations or do not completely overlap
temporally, and when determining a subjective
distance to deﬁne a contact. Although a coarser
resolution, indirect methods can be used to
address some of these challenges. Direct and
indirect measures of animal interactions can be
positively correlated (Vander Wal et al. 2014,
Schauber et al. 2015), including for solitary carnivores (Robert et al. 2012), and space-use overlap
is often used to evaluate the potential for animals
to interact.
To evaluate the opportunity for individuals to
interact, we estimated space-use overlap among
animals (Godfrey et al. 2010, Robert et al. 2012,
Vander Wal et al. 2014, Melville et al. 2015,
Schauber et al. 2015, Bauder et al. 2016) using
the utilization distribution overlap index (UDOI)
because this metric is most appropriate for evaluating the sharing of space use (Fieberg and
Kochanny 2005). Utilization distribution overlap
index measures the joint distribution of two UDs
that overlap in space use:
Z Z 11
d i ðx; yÞ � UD
d j ðx; yÞdxdy
UDOI ¼ Ai;j
UD
�1�1

(1)
where Ai,j is the area of overlap between two anid i and UD
d j are the estimated
mal’s UDs and UD
UDs for animals i and j, respectively (Fieberg
and Kochanny 2005). Values of UDOI can range
from 0 (no overlap) to &gt;1 (if nonuniform UDs
exhibit a high degree of overlap). Speciﬁcally,
UDOI has a strong positive correlation with contact rates for solitary carnivores (Robert et al.
2012). Space-use overlap for an individual was
calculated by averaging space-use overlap with
all individuals with overlapping UDs.
Contact networks represent individual animals
as nodes and connections between individuals as
edges to evaluate social interactions (Newman
2003). Covariates can be applied to nodes and
edges, such as the size of the node (i.e., extent of
individual space use) and edge weight (i.e.,
strength of two animals interacting). We deﬁned
potential interspeciﬁc interactions between two
animals if their UDs overlapped (Godfrey et al.
2010, Vander Wal et al. 2014). To create ﬁgures of
contact networks and visualize animal interactions, we used the igraph package (Csardi 2014)

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i¼1 j¼1

where ai and aj are the spatial extents of space use
for animals i and j, and p�ij is the probability of two
animals interacting. We deﬁned p�ij as the overlap
in space use between animals i and j using the
Bhattacharyya’s afﬁnity (BA) statistic (Fieberg and
Kochanny 2005), which ranges between 0 and 1.
Because we were interested in evaluating EC for
individual animals, we simpliﬁed the EC metric to

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including sex (male or female for focal individual), grid, space-use extent, and human development.
The covariate grid compared interactions for animals associated with either exurban development
and wildland areas (on the WS) or wildland–
urban interface and wildland areas (on the FR).
The covariate human development characterized
the amount of human inﬂuence (Lewis et al.
2011) associated with each animal’s extent of
space use. We created a human development
layer where each human occurrence point (HOP;
residence or structure) across study areas was digitized as a point using ArcGIS v10 software (ESRI,
Redlands, California, USA) from color orthophotos (1-m resolution; Lewis et al. 2015b). Using Arc
Toolbox in ArcMap10 (ESRI, Redlands, California,
USA), we ﬁt a Gaussian kernel with a radius of
1000 m over each HOP, where the density, or
inﬂuence, was greatest directly at the point of
interest and decreased out to the speciﬁed radius
of a circle. A radius of 1000 m was used to predict
the potential extent of disturbance from humans
and urbanization on animals, as previous
research reported animals responding to human
disturbance at this distance (e.g., Siikam€aki and
Kangas 2009, Donovan et al. 2011, Hamer and
Parris 2011). The extent of space use for each
individual was intersected with the GIS layer of
human development, and we summed the total
amount of human development within each animal’s
extent of space use. Each continuous covariate
was standardized by subtracting the sample mean
from the input variable values and dividing by
the standard deviation (Schielzeth 2010). For each
response variable, we evaluated model sets
comprising all possible combinations of covariates
for each species in each study area and ranked
models using Akaike’s Information Criteria
corrected for small sample size (AICc; Burnham
and Anderson 2002). To evaluate the importance
of variables in models, we calculated variable
importance values (VIV) and model-averaged
parameter estimates across models in which they
occurred (Burnham and Anderson 2002).

calculate, what we refer to as, ESC for an individual animal (ESCi) as follows:
vﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃ
uX
u n
ESCi ¼ t
(3)
ai aj p�ij
j¼1

where ai is the space-use extent for the focal animal i and aj are the spatial extent of space use for
animals j and p�ij is the BA value of space-use
overlap between animals i and j. We deﬁned ESC
as the relative potential for an individual to contribute to the ﬂow of ecological processes (i.e.,
connectivity) that are inﬂuenced by both node
size (space-use extent) and edge weights (spaceuse overlap). Because ESC explicitly incorporates
information about space-use extent, we expected
these two metrics to be positively related. We
deﬁned social interactions as direct or indirect
contacts occurring between animals, including
both intra- (e.g., Seidensticker et al. 1973, VanderWaal et al. 2014) and interspeciﬁc interactions
(Morse 1974).

Statistical analyses
Group-level evaluation: sex and urbanization.—
For all metrics, we ﬁrst calculated values for each
individual animal and then averaged across individuals to estimate means and standard errors;
comparisons of interactions between groups of
animals were made, and we used two-sample
t-tests to test for differences in contact metric
values between males and females and animals
using different levels of urbanization (exurban
development and wildland habitat on the WS
and wildland–urban interface and wildland
habitat on FR) within each study area.
Individual-level evaluation.—To evaluate how
individuals responded to urbanization within
their extents of space use, we used linear regression to evaluate the relationship between the
space-use extent of animals and the number of
potential interspeciﬁc interactions (i.e., degree)
with neighboring individuals.
We used multiple linear regression to evaluate
how urbanization within an individual animal’s
extent of space use inﬂuenced their potential
interspeciﬁc contacts. Response variables as
deﬁned by space-use metrics (i.e., space-use overlap, degree, in-strength, and ESC) were evaluated
in relation to a suite of predictor variables,
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RESULTS
We used telemetry data from 19 bobcats and
10 pumas on the WS and 18 bobcats and 19
pumas on the FR to estimate space use, create
contact networks (Fig. 2), and evaluate contact
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Fig. 2. Contact networks of potential interspeciﬁc
interactions between bobcats and pumas on the
Western Slope (a) and Front Range (b), Colorado,
demonstrating space-use overlap (overlap of utilization
distributions among animals), degree (the number of
connections to other animals), and in-strength (the sum
of spatial overlap with all individuals). Dark orange
circles represent pumas, and light blue circles represent bobcats. Circle (i.e., node) size is proportional to
space-use extent on the log scale (values were multiplied by 3.5 to enhance visualization) for an individual, who is classiﬁed as either male (M) or female (F).
The thickness of edges (i.e., edge weights) between
individuals increases with the amount of space-use
overlap (edge weights were multiplied by 15 to
enhance visualization). Nodes were arranged from
smallest to largest extents of space use across individuals for each species.

across both the WS and FR (Fig. 3a, b; Appendix S1). However, bobcats had greater ESC
with male compared to female pumas.
Pumas exhibited greater potential to interact
with male bobcats compared to female bobcats
(Fig. 3c, d; Appendix S1). In general, pumas
demonstrated greater space-use overlap with male
bobcats, exhibited space-use overlap with a
greater number of male bobcats (i.e., degree), and
exhibited greater in-strength with male bobcats,
compared to female bobcats, across both the WS
and FR. In addition, pumas exhibited greater
ESC with male compared to female bobcats.

Group-level evaluation: urbanization
Counter to our predictions, space-use metrics
for bobcats and pumas did not appear to be
greater in urbanized habitat compared to wildland areas. In both the WS and FR, felids demonstrated similar patterns of space-use overlap,
spatially overlapped with similar numbers of
individuals (i.e., degree), exhibited similar instrength, and had similar ESC values in urbanized (WS exurban; FR WUI) vs. wildland grids
(Fig. 4; Appendix S2).

network metrics. Figure 2 provides a visual summary of contact network metrics, including spaceuse overlap, degree, and in-strength in relation to
space-use extent for bobcats and pumas on the
WS and FR.

Group-level evaluation: sex
Bobcats exhibited greater potential to interact
with female pumas compared to male pumas; as
predicted, bobcats demonstrated greater spaceuse overlap with female pumas, spatially overlapped with a greater number of female pumas
(i.e., degree), and exhibited greater in-strength
with female pumas, compared to male pumas,
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Individual-level evaluation
Potential interspeciﬁc interactions for individual animals were best explained by space-use
extent, where individuals with larger extents of
space use typically exhibited greater space-use
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Fig. 3. Contact network statistics evaluating potential interactions between bobcats and pumas considering
sex (i.e., male = M; female = F) on the Western Slope (WS) and Front Range (FR) of Colorado, including WS bobcats with male and female pumas (a), FR bobcats with male and female pumas (b), WS pumas with male and
female bobcats (c), and FR pumas with male and female bobcats (d). Space-use overlap is the overlap of utilization
distributions among animals, degree is the number of connections to other animals, in-strength is the sum of spatial overlap with all individuals, and equivalent social connectivity considers space-use extent and amount of
space-use overlap among individuals. See Methods for further description of metrics. Boxes report the mean with
one standard error, and whiskers demonstrate ranges (i.e., minimum and maximum values). An asterisk next to
the metric indicates that differences were signiﬁcant at a P-value of 0.05; see Appendix S1 for a summary of metric values and results of test statistics.

overlap, degree, in-strength, and ESC; in general,
space-use extent exhibited high VIV across models
with parameter estimates that did not overlap 0
(Table 1; Appendix S3). However, space-use
extent of pumas did not demonstrate a positive
relationship with space-use overlap and in-strength
with bobcats (Table 1), likely because pumas
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with smaller extents of space use (i.e., females)
tended to exhibit greater use of shared areas with
bobcats (Fig. 3a; Appendix S1). As predicted,
there was a positive relationship between the
extent of space use for bobcats and pumas and
the number of potential interspeciﬁc contacts
(i.e., degree) on the WS and FR (Fig. 5).
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Fig. 4. Contact network statistics evaluating potential interactions between bobcats and pumas across different
levels of urbanization on the Western Slope (WS; exurban vs. wildland) and Front Range (FR; wildland–urban
interface (WUI) vs wildland) of Colorado, including WS bobcats with pumas (a), WS pumas with bobcats (b), FR
bobcats with pumas (c), and FR pumas with bobcats (d). Space-use overlap is the overlap of utilization distributions among animals, degree is the number of connections to other animals, in-strength is the sum of spatial overlap with all individuals, and equivalent social connectivity considers space-use extent and amount of space-use
overlap among individuals. See Methods for further description of metrics. Boxes report the mean with one standard error, and whiskers demonstrate ranges (i.e., minimum and maximum values). No differences were signiﬁcant at a P-value of 0.05; see Appendix S2 for a summary of metric values and results of test statistics.

Counter to predictions, we found little support
in our models that space-use metrics were affected
by the anthropogenic variables grid and human
development, based on low VIV and model rankings,
and 95% conﬁdence intervals for parameter estimates overlapping 0 (Table 1; Appendix S3). Equivalent social connectivity of pumas on the WS was
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positively inﬂuenced by human development, with a
high VIV and 95% conﬁdence interval that did not
overlap 0, possibly due to animals with larger
extents of space use encountering a greater number
of human residences. However, human development
within an animal’s extent of space use appeared to
be a poor predictor in all other analyses.
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Table 1. Summary of results for covariates from multiple linear regression models evaluating potential felid
interactions in relation to urbanization and space use for bobcats and pumas on the WS and FR of Colorado.
Covariates
Study
area
WS
WS
WS
WS
WS
WS
WS
WS
FR
FR
FR
FR
FR
FR
FR
FR

Grid

Space-use extent

Human
development

Comparison

Response variable

VIV

b (SE)

VIV

b (SE)

VIV

b (SE)

Bobcats with pumas
Bobcats with pumas
Bobcats with pumas
Bobcats with pumas
Pumas with bobcats
Pumas with bobcats
Pumas with bobcats
Pumas with bobcats
Bobcats with pumas
Bobcats with pumas
Bobcats with pumas
Bobcats with pumas
Pumas with bobcats
Pumas with bobcats
Pumas with bobcats
Pumas with bobcats

Space-use overlap
Degree
In-strength
ESC
Space-use overlap
Degree
In-strength
ESC
Space-use overlap
Degree
In-strength
ESC
Space-use overlap
Degree
In-strength
ESC

0.20
0.27
0.17
0.99
0.38
0.11
0.27
0.04
0.17
0.24
0.16
0.34
0.17
0.33
0.30
0.19

0.01 (0.02)
�0.39 (0.39)
0.04 (0.09)
17.76 (4.13)
�0.07 (0.04)
3.07 (4.10)
�0.63 (0.41)
13.18 (30.83)
0.00 (0.03)
�1.04 (1.06)
�0.02 (0.37)
29.91 (22.03)
0.00 (0.03)
2.39 (1.92)
0.38 (0.35)
10.49 (18.01)

0.95
0.90
1.00
1.00
0.26
0.41
0.20
1.00
0.45
0.97
0.65
1.00
0.70
0.82
0.37
1.00

0.02 (0.01)
0.45 (0.16)
0.19 (0.04)
46.51 (2.07)
�0.03 (0.02)
3.12 (1.59)
�0.27 (0.20)
59.36 (11.30)
0.02 (0.01)
1.77 (0.53)
0.36 (0.17)
48.25 (11.33)
�0.03 (0.01)
2.25 (0.86)
�0.23 (0.17)
65.80 (8.75)

0.25
0.24
0.19
0.15
0.10
0.15
0.09
0.80
0.19
0.15
0.21
0.15
0.25
0.26
0.20
0.17

0.01 (0.01)
�0.18 (0.22)
0.03 (0.05)
�1.34 (3.04)
�0.01 (0.03)
2.12 (1.94)
0.04 (0.24)
30.44 (9.80)
0.01 (0.01)
0.05 (0.58)
0.14 (0.19)
1.63 (12.49)
�0.01 (0.02)
1.09 (1.19)
�0.06 (0.20)
3.38 (10.32)

Notes: Covariates included grid (sampling grid areas comparing urbanized [=0] and wildland grids [=1]), space-use extent
(extent of space use for animals), and human development (inﬂuence of human development at a kernel density radius of
1000 m). VIV were calculated across model sets comprising all possible combinations of covariates. Parameter estimates (b) and
standard errors (SE) were calculated by model averaging across all models in a model set in which the variable occurred. ESC,
equivalent social connectivity; FR, Front Range; VIV, variable importance values; WS, Western Slope.

DISCUSSION

Greater opportunities for interspeciﬁc interactions
between male pumas and male bobcats based on
both space-use extent and overlap (i.e., ESC) suggest that males could be especially important for
facilitating connectivity of particular ecological
processes, such as the transmission of disease,
through contact networks.
Consistent with many species of felids, males
and females within both bobcats and pumas demonstrate varying space-use and behavioral patterns (Sunquist and Sunquist 2002, Macdonald
and Loveridge 2010, Loveridge et al. 2016). Thus,
although space-use extent clearly inﬂuenced contact networks between bobcats and pumas in our
study, and patterns of space use is related to gender, other behavioral differences between males
and females likely inﬂuence interspeciﬁc interactions. For example, male and female felids exhibit
different life history strategies and expressions of
aggression (Logan and Sweanor 2001, 2010,
Sunquist and Sunquist 2002). Typically, adult
males tend to be more aggressive than females,
who may be more cautious to protect young and
avoid infanticide. The aggressive behavior of
males can lead to intraspeciﬁc killing within

The potential for interspeciﬁc interactions between bobcats and pumas varied by extent of
space use and sex (based on group-level analyses)
but, counter to our predictions, space-use metrics
were similar between urbanized and wildland
grids (based on individual-level analyses). Across
study areas, bobcats tended to exhibit a greater
opportunity to interact with female pumas, based
on values of three space-use metrics (i.e., space-use
overlap, degree, and in-strength). This result highlights that relative scale of space use might be an
important driver of interspeciﬁc interactions, with
female pumas exhibiting smaller space-use extents
that were more comparable to those of bobcats.
The metric ESC, however, was greater between
bobcats and male pumas, likely due to the larger
extents of space use of male compared to female
pumas and the positive relationship between
space-use extent and ESC. Our results of space-use
metrics also suggest that pumas were more likely
to interact with male bobcats, again likely because
male bobcats exhibited greater space-use extents
that were more similar in scale to those of pumas.
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Fig. 5. The number of potential interspeciﬁc interactions (i.e., degree) increased with the extent of space use for
bobcats (a) and pumas (b) on the Western Slope and bobcats (c) and pumas (d) on the Front Range of Colorado.
Degree is the number of individuals that overlapped in space use and thus had the potential to interact.

inﬂuenced by sex, body size, social status, community interactions, and food availability both
spatially and temporally (Knick 1990, Sunquist
and Sunquist 2002, Ferguson et al. 2009, Fattebert
et al. 2016). In addition, transient and resident
animals can exhibit different types of behaviors
(e.g., mating or ﬁghting to maintain or obtain a
home range), which could be important in understanding the types of social encounters experienced during interactions. Typically, transient,
dispersing animals may travel farther distances,
potentially increasing the probability of contact
with other animals and consequently conﬂict or
disease transmission (Tracey et al. 2014).
Anthropogenic factors can also be important
determinants of animal space use, which can
inﬂuence interspeciﬁc interactions. In particular,
urbanization can inﬂuence both space-use extent
and animal interactions (Gehrt et al. 2010), with
the potential for contrasting effects (Riley et al.

puma populations (Logan and Sweanor 2001,
2010), and if such aggression also translates across
species, then male pumas might be likely to exhibit interspeciﬁc killing and aggressive interactions
toward bobcats as well. However, female pumas
also might exhibit aggression toward bobcats if
increased space-use overlap and use of small to
mid-sized prey (Murphy and Ruth 2010) intensiﬁes competition with bobcats. Ultimately, varying
behavioral strategies between sexes could inﬂuence patterns of space use and habitat selection
between males and females and ultimately inﬂuence interspeciﬁc interactions and opportunities
for interspeciﬁc killing and intra-guild predation.
For each species, values of the four space-use
metrics generally increased with the extent of
space use for individuals. Thus, ecological factors
leading to greater space-use extents for animals
would be predicted to increase the opportunity
for interactions. For example, space use can be
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interaction opportunities were not greater in
urbanized areas (Lewis et al. 2015a). Further,
population densities of bobcats and pumas were
either lower or similar in urbanized habitat
compared to wildland areas (Lewis et al. 2015b),
suggesting that urbanization did not intensify
interspeciﬁc interactions via density inﬂation at
broad scales. Fine-scale analyses, however, concluded that interaction opportunities between
pumas and bobcats were greater in urbanized
areas, but only at ﬁne temporal and spatial scales
(i.e., across daily time periods; Lewis et al.
2015a). Importantly, the space-use metrics used
in our contact networks do not measure the number of direct interactions between animals, but
rather the potential for animals to interact.
Although direct and indirect methods to estimate
interactions can be positively correlated (Robert
et al. 2012, Vander Wal et al. 2014, Schauber
et al. 2015), the relationship between space use
and contact rates can also be variable (Schauber
et al. 2007). Consequently, future analyses evaluating direct interactions among animals could
provide more insight on interspeciﬁc interactions
at ﬁner scales. For example, direct interactions
could be analyzed using high-resolution concurrent GPS data or proximity collars (e.g., Hamede
et al. 2009, Schauber et al. 2015). It would be predicted that ﬁner-scale direct contacts between
species might vary depending on animal behavior and landscape characteristics inﬂuenced by
urbanization (e.g., Crooks et al. 2010). In addition, bobcats and pumas exhibit broad areas of
space use and urban-associated felids can spend
considerable time away from urbanized areas,
such as when undeveloped habitat is adjacent to
urbanization. Thus, ﬁne-scale analyses could
compare direct interspeciﬁc interactions between
individual felids relative to the proximity to
urbanization.
Although contact networks provide a powerful
tool to investigate potential interactions among
animals, there are limitations to this approach.
For example, in telemetry studies, it is very challenging, if not impossible, to ﬁt all animals with
tracking collars, and thus, contact network metrics reﬂect the sampled population and likely an
incomplete analysis of interactions among all individuals in a population. In addition, contact network metrics are dependent upon the spatial
distribution of collared animals relative to the

2010). Space-use extent can be positively correlated with urbanization where greater amounts
of urbanization within an individual’s home
range are related to larger extents of space use
(Riley et al. 2003). Ultimately, our study suggests
that greater space-use extent may increase the
probability of interspeciﬁc interactions between
felids. Conversely, urbanization can decrease
home range size if development reduces landscape permeability and restricts movement. In
this case, restricted space-use extent in urban
areas may decrease the likelihood of interspeciﬁc
interactions between bobcats and pumas. However, if smaller home ranges are accompanied by
increased space-use overlap and inﬂated local
densities along impermeable boundaries, then
this might intensify probability of interactions, as
predicted by the pile-up hypothesis (Riley et al.
2006, Crooks et al. 2010). Although few studies
have evaluated the impacts of disturbance from
human activities on space use and animal interactions, our results support the conceptual effects
of how urbanization could alter community ecology of carnivores (Crooks et al. 2010).
Despite these potential mechanisms, space-use
metrics for bobcats and pumas did not signiﬁcantly differ among varying levels of urbanization
at either individual or population levels. Increased interactions might be more likely to occur in
landscapes with greater extents of urbanization or
those that are more fragmented than our study,
such as in habitat patches completely surrounded
by urbanization (e.g., fence effect; Krebs et al.
1969, Adler and Levins 1994). For example,
greater overlap in space use among animals was
observed for populations persisting in highly
fragmented habitat patches (Riley et al. 2006) and
areas associated with higher levels of urbanization than characterized by our study. Further,
increased space-use overlap might occur for speciﬁc age and sex classes within populations (e.g.,
adult females; Riley et al. 2006), but our sample
sizes did not allow for such evaluations and this
would be an important area of future study.
When animals use habitat directly inﬂuenced
by urbanization, the opportunity for interactions
can vary depending upon spatial and temporal
scales. Our results are consistent with previous
research in this system at broad scales, which
demonstrated that pumas did not exclude bobcats from urbanized or wildland areas and
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sampled population, which can result in boundary effects (Craft et al. 2009). Although metrics
evaluating the importance of nodes within a network, such as centrality, closeness centrality, and
betweenness centrality, can provide valuable
information about network structure (Newman
2003), such metrics can be sensitive to small sample size and node position within the network
(Wey et al. 2008) and were not considered in our
analysis. However, contact network metrics can
be robust to small sample sizes (Wey et al. 2008),
and we used metrics and analyses that aimed to
minimize such limitations and focused on metrics
that evaluated the potential for animals to interact
based on space-use patterns.
The application of contact network analyses to
wildlife management and conservation has
received increasing attention (Wey et al. 2008).
Although much research has focused on using
contact networks to evaluate questions investigating disease transmission in animals (Craft and
Caillaud 2011, Godfrey 2013), this framework can
also be used to ask more general ecological questions about social relationships within and
between species (Wey et al. 2008). In particular,
contact networks provide researchers with a suite
of metrics across disciplines that can be related to
ecological and demographic characteristics in a
model selection framework to test competing
hypotheses. For example, we demonstrated how
contact network metrics originating from landscape ecology (e.g., the ESC metric) can be used to
evaluate the relative importance of space-use and
landscape characteristics in explaining potential
competitive interactions. Such information can be
used to understand how potential animal interactions are inﬂuenced by sex and levels of urbanization. This framework using contact networks can
be applied widely to diverse systems to better
understand space-use patterns in relation to
social, landscape, and ecological factors.

greatly thank Robert Alonso, Brady Dunne, Michelle
Durant, Dana Morin, and Linda Sweanor for their
invaluable work in the ﬁeld, Jeff Tracey for assistance
with estimating space use in R, and John Fieberg for
guidance in evaluating space-use overlap. In addition,
we thank the numerous landowners who allowed us
access to their properties for our research. We appreciate the helpful comments from Larissa Bailey and
anonymous reviewers, which greatly improved the
manuscript.

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SUPPORTING INFORMATION
Additional Supporting Information may be found online at: http://onlinelibrary.wiley.com/doi/10.1002/ecs2.
1707/full

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              <text>&lt;span&gt;Competitive interactions between species are fundamental to understanding species assemblages, community dynamics, and ecological processes. Anthropogenic landscape change, particularly resulting from urbanization, can alter interspecific interactions; however, different forms of urbanization are predicted to have contrasting effects on competitive interactions. We developed contact networks between bobcats and pumas to evaluate (1) the potential for interspecific interactions between wild felids and (2) how space-use metrics might change along the urban gradient, including low-density exurban development, wildland–urban interface, and wildland habitat, at both the population and individual level. We used an extensive telemetry data set for bobcats and pumas across multiple study areas to evaluate four space-use metrics: &lt;/span&gt;&lt;i&gt;space-use overlap&lt;/i&gt;&lt;span&gt; (used to define potential interactions among animals) and three additional contact network metrics, including &lt;/span&gt;&lt;i&gt;degree&lt;/i&gt;&lt;span&gt; (the number of potentially interacting animals), &lt;/span&gt;&lt;i&gt;in-strength&lt;/i&gt;&lt;span&gt; (sum of space-use overlap for animals), and equivalent social connectivity (ESC; considering both space-use extent and the amount of space-use overlap). Space-use extent was an important predictor of potential social interactions as measured by space-use metrics. Bobcats appeared to have a greater opportunity to interact with female pumas based on &lt;/span&gt;&lt;i&gt;space-use overlap&lt;/i&gt;&lt;span&gt;,&lt;/span&gt;&lt;i&gt;&lt;span&gt; &lt;/span&gt;degree&lt;/i&gt;&lt;span&gt;, and &lt;/span&gt;&lt;i&gt;in-strength&lt;/i&gt;&lt;span&gt;, which demonstrates that relative scale of space-use extent among animals could be important for understanding interactions; ESC, however, was greater between bobcats and male pumas, likely due to the larger space-use extent by male compared to female pumas and the positive relationship between space-use extent and ESC. In addition, pumas and male bobcats exhibited a greater opportunity to interact, based on &lt;/span&gt;&lt;i&gt;space-use overlap&lt;/i&gt;&lt;span&gt;,&lt;/span&gt;&lt;i&gt;&lt;span&gt; &lt;/span&gt;degree&lt;/i&gt;&lt;span&gt;, and &lt;/span&gt;&lt;i&gt;in-strength&lt;/i&gt;&lt;span&gt;, and demonstrated higher ESC compared to female bobcats. Counter to our predictions, felids associated with urbanized grids or with greater amounts of urbanization in their extent of space use did not appear to exhibit greater values of space-use metrics compared to animals with less exposure to urbanization; these results appear consistent with previous research evaluating population characteristics of felids across broad scales in our study areas. Greater ESC for male pumas and male bobcats suggests that males could be particularly important for facilitating connectivity of some ecological processes, such as the transmission of disease, through interspecific contact networks.&lt;/span&gt;</text>
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              <text>Lewis, J. S., K. A. Logan, M. W. Alldredge, D. M. Theobald, S. VandeWoude, and K. R. Crooks. 2017. Contact networks reveal potential for interspecific interactions of sympatric wild felids driven by space use. Ecosphere 8(3):e01707. &lt;a href="https://doi.org/10.1002/ecs2.1707" target="_blank" rel="noreferrer noopener"&gt;https://doi.org/10.1002/ecs2.1707&lt;/a&gt;</text>
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