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

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

�The Journal of Wildlife Management 78(4):580–594; 2014; DOI: 10.1002/jwmg.695

Research Article

Density and Demography of Snowshoe Hares
in Central Colorado
JACOB S. IVAN,1 Department of Fish, Wildlife, and Conservation Biology, Colorado State University, Fort Collins, CO 80523, USA
GARY C. WHITE, Department of Fish, Wildlife, and Conservation Biology, Colorado State University, Fort Collins, CO 80523, USA
TANYA M. SHENK, Colorado Division of Wildlife, Fort Collins, CO 80526, USA

ABSTRACT To improve understanding of snowshoe hare ecology in the Southern Rockies and enhance the
ability of agency personnel to manage subalpine landscapes for snowshoe hares (Lepus americanus) and lynx
(Lynx canadensis) in the region, we estimated snowshoe hare density, survival, and recruitment in west-central
Colorado, USA from July 2006–March 2009. We sampled 3 types of forest stands that purportedly provide
good habitat for hares: 1) mature Engelmann spruce (Picea engelmannii)–subalpine fir (Abies lasiocarpa), 2)
early seral, even-aged lodgepole pine (Pinus contorta), and 3) mid-seral, even-aged lodgepole pine that had
been pre-commercially thinned. In all forest types and all seasons, snowshoe hare densities were &lt;1.0 hares/
ha. During summer, hare densities [�SE] were highest in early seral lodgepole pine (0.20 [0.01] to 0.66
[0.07] hares/ha), lowest in mid-seral lodgepole pine (0.01 [0.04] to 0.03 [0.03] hares/ha), and intermediate in
mature spruce-fir (0.01 [0.002] to 0.26 [0.08] hares/ha). During winter, densities were more similar among
the 3 stand types. Annual survival of hares was highest in mature spruce-fir (0.14 [0.05] to 0.20 [0.07]) and
similar between the 2 lodgepole stand types (0.10 [0.03] to 0.16 [0.06]). Stand attributes indicative of dense
cover were positively correlated with density estimates and explained relatively more spatial process variance
in hare densities than other attributes. These same attributes were not positively correlated with hare survival.
Both density and survival of hares in early seral lodgepole stands were positively correlated with the extent of
similar stands in the surrounding landscape. Recruitment of juvenile hares occurred during all 3 summers in
early seral lodgepole stands, 2 of 3 summers in mature spruce-fir stands, and in only 1 of 3 summers in midseral lodgepole. Based on estimates of density and demography specific to each forest type, we conclude that
managers should maintain mature spruce-fir and early seral lodgepole stand types rather than thinned, midseral lodgepole stands to benefit snowshoe hares (and by association lynx) in central Colorado. Given the
more persistent nature of spruce-fir compared to early seral lodgepole, and the fact that such stands cover
considerably more area, mature spruce-fir may be the most valuable forest type for snowshoe hares in the
region. Ó 2014 The Wildlife Society.
KEY WORDS Colorado, demography, density, forest management, Lepus americanus, recruitment, snowshoe hare,
survival, telemetry.

Snowshoe hares (Lepus americanus), their famous 10-year
population cycle, and close association with Canada lynx
(Lynx canadensis) have been well studied in boreal Canada for
decades (Hodges 2000a, Krebs et al. 2001a, b). However,
hares range south into the Cascades and Sierra Nevada,
Northern and Southern Rockies, Upper Lake states, and
Appalachian Mountains (Hodges 2000b). Hare ecology in
these areas is not as well understood (Hodges 2000b) but is
critically important. In the Southern Rockies where an effort

Received: 20 July 2012; Accepted: 21 January 2014
Published: 16 April 2014
1

E-mail: jake.ivan@state.co.us
Present address: Colorado Parks and Wildlife, 317 W Prospect Road,
Fort Collins, CO 80526; Jake.Ivan@state.co.us
3
Present address: National Park Service, 1201 Oakridge Drive, Suite
200, Fort Collins, CO 80525
2

580

to restore a viable population of the federally threatened
Canada lynx has recently concluded (U.S. Fish and Wildlife
Service 2000, Devineau et al. 2010), snow-tracking of
reintroduced lynx and their progeny indicated that approximately 70% of the prey species in the lynx diet was snowshoe
hares (Shenk 2009). Thus, existence of lynx in the region and
long-term success of the reintroduction effort hinges, at least
partly, on maintaining adequate and widespread populations
of hares.
Over the past decade snowshoe hare research in the Rocky
Mountains of the conterminous United States has accelerated. Much of this recent work has focused on estimating
density of hares in various habitat types, and in all cases,
stands with high hare density are characterized by dense
understory vegetation that provides both browse and cover
(Wirsing et al. 2002, Malaney and Frey 2006, Zahratka and
Shenk 2008, Griffin and Mills 2009, Berg et al. 2012).
Although animal density is often elevated in habitat patches
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�

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�that support high levels of individual fitness, it can be a
misleading indicator of habitat quality because areas with
high density may also function as population sinks (Van
Horne 1983). Estimation of habitat-specific demographic
rates in addition to density provides a more complete
assessment of habitat quality.
Only a handful of studies have addressed both demography
and density estimation of hares in the Rocky Mountains
(Wirsing et al. 2002, Griffin and Mills 2009). Indeed, in some
cases, forest types with high hare density are not necessarily the
habitats where hares survive or recruit well (Griffin and
Mills 2009). Thus, despite the growing body of literature
relating hare density to forest types and forest structure,
uncertainty still exists regarding the types of stands necessary
for persistence of snowshoe hares at the southern extent of their
range. Reducing this uncertainty is critical for those tasked
with managing forests for snowshoe hares and Canada lynx.
Our objective was to evaluate forest types that purportedly
provide good hare habitat in the Southern Rockies to provide
land managers in the region with local information about
density and demography of snowshoe hares.
Based on the requisite association with dense understory
cover noted above, we identified mature Engelmann spruce
(Picea engelmanni)–subalpine fir (Abies lasiocarpa), and early
seral lodgepole pine (Pinus contorta) as candidates of high
quality hare habitat in the region. Additionally, we evaluated
mid-seral, commercially thinned lodgepole pine because
effects of this standard practice on hares inhabiting lodgepole
stands has been shown to range from strongly negative
(Griffin and Mills 2007, Homyack et al. 2007) to
inconsequential (Thornton et al. 2012) or inconclusive
(Ausband and Baty 2005) in other areas. Our evaluations
used a combination of mark-recapture and radio telemetry
sampling to estimate site- and season-specific (winter vs.
summer) snowshoe hare density, survival, and recruitment in
these forest types, which had not been done previously in the
Southern Rockies. For parameter estimation, we combined
the 2 sources of information into a single analysis, which
should enhance rigor and precision compared to most
previous approaches.
In montane regions of the western United States, highest
densities of snowshoe hares are generally recorded in either
young, even-aged conifer stands regenerating after standreplacing fires or timber harvest (Koehler 1990, Wirsing
et al. 2002, Griffin and Mills 2009, Berg et al. 2012) or in
mature, uneven-aged conifer stands (Beauvais 1997, Zahratka and Shenk 2008, Griffin and Mills 2009, Hodges
et al. 2009, Berg et al. 2012). Mid-successional stands rarely
sustain high densities of hares but see Miller (2005) and
Thornton et al. (2012) for exceptions. Given these results we
expected hare densities in our study area to be highest in
either mature spruce-fir or young lodgepole stands and
lowest in mid-seral, pre-commercially thinned stands. Based
on the only study to estimate density in both summer and
winter (Griffin and Mills 2009), we also expected that the
relative ranking of these forest types might change with
season. Generally, we expected summer estimates taken after
the second birth pulse to be higher than winter estimates.
Ivan et al.

�

Density and Demography of Snowshoe Hares

Griffin and Mills (2009) found that weekly survival of hares
using dense mature stands were highest, followed by dense
young stands, then open young stands. Dolbeer and Clark
(1975) found a similar pattern in survival for juvenile hares in
Colorado, but adult survival was higher in sparse stands
compared to densely forested stands. Wirsing et al. (2002)
did not find differences in snowshoe hare predation rates
between high and low cover sites. Given conflicting results
from these previous studies, we had no a priori expectation
with respect to snowshoe hare survival by forest type.
Furthermore, the intervals over which we estimated survival
were summer-winter and winter-summer. These intervals do
not match well with seasonal estimates previously published
(e.g., summer, winter, fall, spring); therefore, predicting
results based on current literature is difficult. Given the
diversity and abundance of food available to hares during
mid-summer (e.g., grasses, forbs, and fungi in addition to
conifer needles and small twigs), we postulated that during
the summer hares would be on a higher nutritional plane
than in winter, and this would enhance survival during the
summer to winter interval. Others have found that 4-week
survival rates covary with body mass, and that body mass is
negatively correlated with accumulating snow (Hodges
et al. 2006), which lends support to our hypothesis.
However, the interplay between nutrition, predation, and
survival likely is complex (Hodges et al. 2006).
Recruitment has rarely been estimated for snowshoe hare
populations in the United States Rocky Mountains. Dolbeer
and Clark (1975) reported annual natality rates and Wirsing
et al. (2002) estimated recruitment based on immigration,
but neither reported it by forest type. Only Griffin and Mills
(2009) estimated fecundity (in situ recruitment) using
ultrasound and they concluded that it was roughly equal
among hares using different stand types. Therefore, we had
no expectation that it would vary with forest type.

STUDY AREA
The study area encompassed roughly 1,200 km2 around
Taylor Park and Pitkin, Colorado, USA (398500 N,
1068340 W; Fig. 1), and included a portion of the “Core
Reintroduction Area” occupied by reintroduced Canada lynx
(Shenk 2009). Open sagebrush (Artemisia tridentata) parks
dissected by narrow riparian zones of willow (Salix spp.) and
potentilla (Potentilla spp.) dominated the low elevation
(approx. 2,800–3,000 m) parts of the study area. Extensive
stands of lodgepole pine occupied mid-elevation slopes
(approx. 3,000–3,300 m), giving way to bands of Engelmann
spruce–subalpine fir in the sub-alpine zone (approx. 3,200–
3,600 m). Alpine tundra topped the highest parts of the study
area (approx. 3,300–4,200 m). Moist spruce-fir forests also
occurred on north-facing slopes at mid-elevations. Patches of
aspen occurred intermittently, usually associated with
spruce-fir stands.
Climate was typical of continental, high-elevation zones
with relatively short, mild summers and long, harsh winters.
Mean July temperature was 148 C; mean January temperature
was �118 C (Ivan 2011). Maximum snow depth on the study
area averaged 80 cm but ranged from 22 cm to 163 cm
581

�Figure 1. Study area near Taylor Park and Pitkin, central Colorado. We estimated snowshoe hare density and demography at 3 late-seral Engelmann sprucesubalpine fir sites (circles), 3 mid-seral lodgepole pine sites (squares), and 6 early-seral lodgepole pine sites (triangles) from summer 2006 through winter 2009.

depending on year, elevation, and aspect (Ivan 2011).
Snowpack generally persisted from November through May
(low elevations) or June (high elevations and north-facing
slopes).
582

Some human habitation occurred in the study area, mostly
in the form of seasonal residences. Considerable recreational
use occurred during summer in the form of dispersed
camping and off-highway vehicle traffic. A suite of native
The Journal of Wildlife Management

�

78(4)

�predators were present within the study area including
lynx, cougar (Puma concolor), coyote (Canis latrans), red fox
(Vulpes vulpes), pine marten (Martes Americana), great
horned owl (Bubo virginianus), and northern goshawk
(Accipiter gentilis).

METHODS
Sampling
We subjectively selected 3 replicate stands of mature sprucefir (22.86–40.64 cm diameter at breast height, dbh) and 3
replicates of mid-seral (12.70–22.85 cm dbh) lodgepole pine
from within the study area to sample for snowshoe hare
density and demography. Few early seral lodgepole stands
were of sufficient size to hold a full trapping grid (see below)
so we selected twice as many (6) of these stands and sampled
them using half-sized grids. Spruce-fir stands had some
evidence of historical logging but were largely unmanaged
and structurally complex because of downed logs and uneven
age. Mid-seral lodgepole stands were clear-cut 40–60 years
prior to sampling and were thinned to 3-m spacing
approximately 20 years pre-sampling. Trees in these stands
were beginning to self-prune with lower branches approximately 0.8 m above ground. Early seral lodgepole sites were
clear-cut 20–25 years prior to sampling and had regenerated
into densely stocked stands (6,231 stems/ha, Appendix A).
Trees in these stands had not started to self-prune and tree
canopies generally extended to ground level.
We sampled in both summer (20 Jul–10 Sep) and winter
(20 Jan–17 Mar) each year for 3 years (2006–2009) for a total
of 6 sampling sessions (3 summer, 3 winter). For a given
sampling session, we concurrently live-trapped for a 4–5 day
period at 1 spruce-fir site, 1 mid-seral lodgepole site, and 2
early seral lodgepole sites. We then located hares within
those 4 sites daily for 7–10 days post-trapping. Upon
completion of both the trapping and telemetry sampling, we
moved to the second and subsequently the third sets of 4
sites. We sampled the same 12 sites each season, but rotated
the order in which they were sampled so that no set of sites
was routinely sampled early or late within a sampling season.
We computed density for each site during each sampling
session and aggregated results by forest type (see below). We
computed survival and recruitment across intervals between
sessions.
We based estimates of hare density and demography on a
combination of mark-recapture and telemetry data. Colorado State University and Colorado Parks and Wildlife
Animal Care and Use Committees approved all methods
(Colorado State University IACUC Protocol 06-062A-03).
We used Tomahawk Model 204 live traps (Tomahawk Live
Trap, Hazelhurst, WI) deployed on 7 � 12 (mid-seral
lodgepole and mature spruce-fir) or 6 � 7 (early seral
lodgepole) grids with 50-m spacing for mark-recapture
sampling. We covered traps with pine boughs and bark to
protect entrapped animals from elements. Additionally,
during winter sampling sessions, we encased traps in several
inches of snow to provide further protection. We baited traps
with apple slices, commercial rabbit chow, and cubed
Ivan et al.

�

Density and Demography of Snowshoe Hares

timothy hay (Phleum pratense). During summer sampling
sessions, we pre-baited traps for 3 nights, followed by 5
nights of trapping. However, during winter we locked traps
open on the third night of each 5-night trapping effort to
eliminate the possibility that hares could be trapped &gt;2
nights in a row (i.e., traps were set for 2 nights, then locked
open, then set again for 2 nights for a total of 4 trap nights
during each winter trapping session). This altered schedule
alleviated capture myopathy issues that we detected during
the first winter trapping session. We aged, weighed, recorded
sex, and individually marked captured hares with a passiveintegrated transponder (PIT) tag (Biomark, Inc., Boise, ID),
all without anesthesia.
We radio-marked up to 10 hares per study site using a 28g collar (Model TW5SM, BioTrack, LTD, Wareham,
Dorset, United Kingdom) equipped with a 6-hour mortality
sensor. We expected individual heterogeneity in capture
probability related to varying home range overlap with the
trapping grid. We also expected varying behavioral response
to the trapping process (we captured some hares early and
often and others only once toward the end of a session). To
account for these sources of heterogeneity and in an attempt
to radiocollar a representative sample of hares at each site,
we checked grids using random starting points each day (but
checked traps in the same order) and collared hares as we
encountered them so that hares captured near the edge were
as likely to receive a collar as hares captured near the center.
We also retained 2 of the allotted 10 collars per site for
marking animals during the last 2 days of trapping. After
trapping, we carefully removed all traps and bait from the
site, so that post-trapping animal movements were not
influenced by the trapping grid.
To correct density estimates (see below) we assessed
snowshoe hare movements at a given site for a 7- to 10-day
period beginning 1–3 days post-trapping. We located
radiocollared hares using short-range triangulation (usually
&lt;250 m) or homing. Because hares are generally active
during nighttime (Keith 1964, Foresman and Pearson 1999),
we obtained an equal number of daytime and nighttime
locations to locate hares during resting and active periods.
We preferentially located hares that remained near the area
formally occupied by the trapping grid because they were
most important for correcting density estimates. We
triangulated hares that strayed far from the grid after
trapping at distances that were often &gt;250 m. We estimated
all triangulated locations using the maximum likelihood
procedure (Lenth 1981) in Program LOAS (Version 4.0,
Ecological Software Solutions LLC, Sacramento, CA).
Sometimes homing in on individuals was more efficient, but
we did this only during daytime when hares were inactive and
holding tight to their hiding spots. We did not record a
location if the signal indicated that the animal moved as we
approached. We assessed accuracy of short-range locations
by triangulating on hares during daytime when they were
inactive, then immediately homing on them to obtain their
true location.
In addition to the relatively short telemetry sampling
periods that occurred post-trapping, we determined whether
583

�collared hares were alive or dead from the air and/or ground
1–4 times between summer and winter trapping sessions.
Because hares were capable of remaining still long enough to
set off the mortality sensor in their collar, we did not consider
animals dead until we observed signs of death in the field or
until we obtained mortality signals on �3 consecutive checks.
While working on the current sample of hares from a given
site, we regularly located hares that we did not capture during
that session but retained working transmitters from previous
sessions.
Density Estimation
We estimated density using the “Density with Telemetry”
data type in Program MARK (White and Burnham 1999),
which makes use of auxiliary telemetry data to account for
lack of geographic closure of sampling grids (Ivan
et al. 2013a). Ivan et al. (2013b) suggested that for the
range of densities and capture probabilities we encountered
in the field, percent error should be minimized using this
method compared to others available for addressing the
closure issue. Ivan et al. (2013b) further suggested that if a
logistical tradeoff were necessary, it was preferable to
maximize the number of collars deployed on a study site
at the expense of obtaining a large number of locations per
collar. Therefore, we maximized collar deployment (10 at
each site) and obtained approximately 10 locations per
individual (approx. 1 location per day for 10 days).
We considered season (summer or winter), trapping session
(1–6), forest type, site (1–12), and distance of the mean trap
location for individual i to the edge of the trapping grid
(DTEi) as predictors of ~pi, the parameter in the model that
accounts for the proportion of time each animal spends on
the study site. We defined the study site as the minimum
convex polygon containing the trapping grid. We evaluated
the same covariates, along with age, behavioral response to
initial capture (Otis et al. 1978, White 2008), and minimum
daily winter air temperature as potential predictors of the
�
detection probability for each individual (pi ). Air temperature has been shown to influence capture probability for
snowshoe hares in previous work (Zahratka and
Shenk 2008); we measured it nightly at each site using a
single HOBO Pro Series Temp datalogger (Onset Computer Corporation, Pocasset, MA).
�
Because the likelihoods for ~pi and pi are factorable and do
not influence each other, we identified the best models for
each parameter in 2 steps. First, we evaluated models in
�
which we fixed pi to be constant across sites and sessions, and
considered all possible additive models using the 5 covariates
for predicting ~pi. We did not allow redundant variables in the
same model. That is, a model with a site effect could not also
include the nested effect of forest type. We identified the best
structure for ~pi using AICc (Burnham and Anderson 2002).
Second, we fixed the best structure for ~pi and built 60 models
to estimate density using all additive combinations of
�
covariates for pi , again omitting combinations of variables
that were redundant. We included individual heterogeneity
(by modeling capture probability using 2 mixtures;
Pledger 2000, White 2008) and DTEi in every model for
584

�

pi because our trapping experience and simulations indicated
that both would substantially improve fit (Ivan et al. 2013b).
We model-averaged (Burnham and Anderson 2002) sitespecific density estimates from candidate models using AICc,
then combined estimates and standard errors from each
replicate to obtain average density estimates by forest type
through time using the delta method (Seber 1982:7). For all
estimates, we adjusted the nominal area of the study sites to
account for topography (Surface Tools for Points, Lines, and
Polygons Extension, ArcView 3.1, version 1.6b, Jenness
Enterprises, http://www.jennessent.com).

Survival Estimation
We estimated survival of hares across intervals between
trapping sessions using a Barker/Robust Design model
(Kendall et al. 2013) as implemented in Program MARK
(White and Burnham 1999). The Barker model
(Barker 1997, 1999) incorporates information from multiple
sources to estimate survival including recovery of dead
animals, live resightings during mark-recapture sampling,
and resightings of marked animals outside of mark-recapture
sampling. These sources of information are combined into a
single likelihood to improve survival estimates and precision.
Here, live resightings during the interval between trapping
sessions came in the form of live–dead data from telemetry
signals.
The robust design (Pollock 1982, Kendall et al. 1995, 1997)
is a sampling scheme in which &gt;1 secondary sampling
occasions (in our case, 4–5 days of trapping) occur within
each primary sampling session (we had 6 primary sampling
sessions: 3 summer and 3 winter). Intervals between the
primary sessions over which survival is estimated are
relatively long (in our case 131–204 days), whereas intervals
between secondary occasions are short (in our case 24 hr), so
populations can be assumed to be demographically closed
across the secondary occasions. Such a sampling scheme
allows estimation of more survival parameters than would be
possible using traditional Cormack Jolly Seber models that
lack secondary occasions, and it increases precision of
estimates by incorporating information on capture probability from secondary, closed-capture occasions (Kendall
et al. 1995). Parameters for the Barker/Robust design model
include:
St ¼ probability that an individual survives interval t, t þ 1
given that it was alive at t, where t is a primary sampling
session.
rt ¼ probability that an animal that dies in the interval t, t þ 1
is found dead.
Rt ¼ probability that an animal that survives t, t þ 1 is
resighted alive during that interval.
Rt 0 ¼ probability that an animal that dies in the interval t,
t þ 1, without being found dead, is resighted alive in that
interval before it died.
g t 00 ¼ probability of being on the study site and available for
capture during primary session t, given that the animal was
present during primary session t � 1.
The Journal of Wildlife Management

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78(4)

�g t 0 ¼ probability that an animal returns to the study site
during primary session t given that the animal was not
present on the site during t � 1.
Ft ¼ probability an animal at risk of capture at time t does not
permanently emigrate before t þ 1.
�
pt ¼ probability that an individual is captured at least once
during primary session t, given it was alive and on the study
site. Note that this includes the usual closed capture
parameters such as those representing mixtures (p),
probability of initial capture during a secondary sampling
occasion (pi), and probability of recapture during a secondary
sampling occasion (ci).
We modeled survival using 2 groups: animals that were
radiocollared and those that were not. For the radiocollared
group, we specified rt, Rt, and Rt 0 to be constant across sites
and sessions because we fitted all hares with radio tags of the
same make and model and we sampled under the same
protocol (including attainment of locations from the air)
during each session or interval. Thus, we had no reason to
suspect that the probability of being seen alive (or dead), or
being recovered, varied through time, across sites, with forest
type, etc. Setting rt constant across time also enabled us to
estimate S6 using dead animal recoveries collected during the
6-month interval after mark-recapture sampling ended in
March 2009. This last winter-summer survival estimate
would have been unidentifiable otherwise. For the group that
did not receive radiocollars, we fixed rt, Rt, and Rt 0 to zero
because observing or recovering uncollared individuals was
impossible during intervals between mark-recapture sam�
pling. We modeled pt using the best structure from the
density estimation procedure.
We initially constructed survival models that allowed the
probability of leaving or returning to a site within (g t 00 , g t 0 ) or
between (Ft) seasons to vary between large and small grids
and between forest types. However, models incorporating
such structures were not well supported, the parameters were
not well estimated, and they were tangential to our goal of
estimating survival. Therefore, we fixed g t 00 , g t 0 , and Ft to be
constant across sites and sessions for all models in the
candidate set.
Given this base model structure (i.e., constant g t 00 , g t 0 , and
Ft; constant rt, Rt, and Rt 0 for the radiocollared group;
rt ¼ Rt ¼ Rt 0 ¼ 0 for the group without radiocollars), we
hypothesized that St might vary with hare age, interval,
season, site, and forest type (specifically, survival may vary
among all forest types, or more simply, spruce-fir may differ
from lodgepole). Also, during the first 2 years of sampling,
anecdotal field evidence indicated an apparent decline in hare
numbers. Therefore, we postulated that individual survival
may have been especially poor during those winters and we
added such an effect (altered survival during the first 2 winter
to summer intervals) to the list of explanatory variables. We
constructed 56 models reflecting all additive combinations of
these effects, avoiding redundancy as before. Because
individual survival (S) is included in the likelihood in the
Barker/Robust Design model (as opposed to density, which
was a derived parameter), we were able to model it as a
function of forest type, and thus it was not necessary to
Ivan et al.

�

Density and Demography of Snowshoe Hares

aggregate estimates across sites post hoc to produce overall
estimates for each forest type. We could estimate forestspecific survival directly from the model.
Variance Components
Initial candidate model sets included season and site as
general predictors of survival and density. However, many
other potentially important factors are nested within season
and site (e.g., deviation from normal precipitation, understory cover), which may have explained variation as well. To
avoid construction of thousands of models addressing all
combinations of these nested factors, we assessed their
influence on density and survival of hares using the variance
components procedure in Program MARK (Burnham and
White 2002). This approach allowed estimation of process
variation in density or survival estimates (e.g., variation in
density or survival due to differences in understory cover or
some other covariate of interest) separate from sampling
variation (e.g., if we sampled over and over again, we would
find variation in the estimates due to the sample of animals
obtained each time). Accordingly, we selected a general
model from our initial set (i.e., fully session and-or site
specific), extracted the temporally (or spatially) specific
estimates from that model, and fit appropriate random
effects models (see below) to those estimates (Franklin
et al. 2002).
We sampled 12 sites across 6 primary sessions (or 6
intervals between the primary sessions in the case of survival),
which under a general fixed effects model produced 72
estimates of density (or survival). However, these 72
estimates were not independent because we sampled multiple
sites during the same primary session, and we sampled
multiple primary sessions through time at each site. Thus, for
the random effects portion of the procedure, we fit trapping
session (or interval in the case of survival) as a fixed effect to
estimate the process variation among the 72 estimates after
accounting for the effect of session (s 2s ). We then added
habitat variables (see below) one at a time to this session
model to estimate the spatial process variation left after
accounting for both session and the habitat variable of
interest (s 2sþh ). The quantity ðs 2s � s 2sþh =s 2s Þ is an estimate of
the percent variation in density or survival due to the habitat
variable, after accounting for variation due to session.
Similarly, we fit site as a fixed effect, then added sessionspecific variables (e.g., weather variables) one at a time to
estimate the percent variation in density or survival due to the
session variable, after accounting for variation among sites.
Density.—We considered 7 habitat covariates as potentially important predictors of process variation in snowshoe hare
density from site to site (see Appendix A for detailed
description). Because hares tend to be associated with thick
cover, we expected density to be positively related to 1)
horizontal cover 0–2 m above ground, 2) stem density for
stems 1–7 cm in diameter, 3) percent tree canopy cover, 4)
down wood, and 5) hectares of willow in the surrounding
landscape; we expected a negative relationship between 6)
crown height (measured as the distance from the ground to
lowest live branch) and 7) distance (km) to the nearest willow
585

�patch. We also conducted a separate variance components
analysis only on the early seral lodgepole stands (n ¼ 36) by
fitting hectares of early seral lodgepole (see Appendix A) as well
as distance to nearest early seral lodgepole patch as fixed effects.
This sub-analysis reflected the idea that hare density in these
isolated, small patches might be dependent on the amount of
and distance to similar habitat in the surrounding landscape.
We considered 2 weather variables as potentially important
predictors of variation in snowshoe hare density across
sampling sessions. We evaluated the influence of total
precipitation for the year (365-day window) immediately
preceding a sampling session because increased precipitation
should result in increased browse and cover, and accordingly
survival and productivity, during the 12 months leading up to
the year of interest. We also considered a 2-year lag (i.e., the
1-yr window beginning 730 days prior to the sampling
session) in precipitation effects. Precipitation data were
collected at a weather station 20 km west of the study area in
Crested Butte, Colorado at 2,700 m elevation (National
Climatic Data Center, Ashville, NC).
Survival.—We postulated similar relationships between
habitat variables and hare survival. However, we hypothesized
that precipitation could have an immediate effect on survival,
so we included total precipitation during the interval of
interest (rather than 1 yr prior) as well as a 6-month lag (rather
than 2-yr lag). Because deviation from normal snowfall may
influence survival by facilitating mismatches between seasonal
hare pelage and the surrounding landscape, we also included
departure from average days of snow cover for the interval of
interest. We measured departure in days based on the 25-year
average in Crested Butte, Colorado from 1985 to 2009
(National Climatic Data Center, Ashville, NC).
Recruitment
Because we sampled under a robust design framework and
obtained age-specific (juvenile or adult) estimates of density
and hare survival, we were able to estimate recruitment into
each site during each sampling session following Nichols and
Pollock (1990). Using their ad hoc approach, we estimated
recruitment from in situ reproduction (B0 ) as the product of
the number of estimated juveniles alive at session t and the
estimated proportion of those animals that survived to t þ 1.
We obtained recruitment of individuals of all ages from
immigration (B00 ) by subtracting the estimated number of
adult and juvenile survivors over the interval (t, t þ 1) from
the estimated number of adults at t þ 1. We altered the
equations of Nichols and Pollock (1990) by substituting
density when their equations required Ni. Thus, estimates
were standardized to reflect the number of hares recruited per
hectare, rather than the total number of hares recruited per
site, and estimates of recruitment were directly comparable to
estimates of density. Because this approach is ad hoc, we
could not compare various models of recruitment nor could
we conduct any sort of variance components analysis as
described above for density and survival. Instead, we
aggregated site-specific recruitment estimates into estimates
of average recruitment for each forest type in each interval.
We derived density and survival estimates separately so we
586

could not directly estimate the covariance between them and
assumed it to be 0. We calculated standard error for average
recruitment by forest type using the delta method
(Seber 1982:7).

RESULTS
We captured 305 hares (132 males, 151 females, 22 unknown
sex; 246 adults, 59 juveniles) 740 times over the course of the
study. We radiocollared 223 (73%) of these hares, and
obtained 2,252 total locations, an average of 8.3 locations/
hare/sampling session (range ¼ 3–12). We obtained 91% of
locations via triangulation and the remainder by homing. We
obtained 54% of locations during daytime (approx. 1000 hours
to 1 hour before official sunset) and 46% during nighttime
(1 hour after official sunset to approx. 0200 hours). Based on
99 trials over the 6 sampling sessions, median estimated
location error was 49 m (range 3–330), about 1 trap width.
Hares moved farther than we anticipated and individuals
initially trapped in spruce-fir, mid-seral lodgepole, and early
seral lodgepole stands often did not remain exclusively in
those stands during sampling. We accounted for their
movement when estimating density by incorporating
telemetry data into the estimate, but we could not account
for movement when estimating survival or recruitment across
long intervals. Therefore, we redefined the area to which
survival and recruitment estimates applied in the following
manner. We identified the 90th percentile of the distance
collared hares were located from the center of their grid of
capture during each sampling session (range ¼ 715–1175 m),
buffered the trapping grids by these distances, and defined the
area included in this buffer as the landscape in which collared
hares lived. Thus, estimates for hares in spruce-fir sites
reflected survival and/or recruitment of individuals that used a
landscape comprised of approximately 85% mature spruce-fir,
7% mid-seral lodgepole, 6% willow, and 2% other. Estimates
for mid-seral lodgepole reflected use of landscapes comprised
of 64% thinned mid-seral lodgepole, 15% mature lodgepole,
13% aspen, and 8% other. Estimates for early seral lodgepole
reflected landscapes comprised of 7% early seral lodgepole,
83% mature lodgepole, and 10% willow. Of note, early seral
lodgepole landscapes contained little early seral lodgepole
pine on a percentage basis because these stands occurred as
small patches (5.0 ha � 2.2 SD) intermixed in a matrix of
larger, unharvested lodgepole. However, these early seral
stands were the signature component of these landscapes
because mature lodgepole provided almost no hare habitat.
Hares generally lived in 1 of the 3 landscape types and did not
move between them. Any reference to mature spruce-fir,
mid-seral lodgepole pine, and early seral lodgepole pine in
survival or recruitment analysis from here forward refers to
hares sampled in the original site plus its buffer.
Density
The top model for ~pi was the general, additive structure in
which ^~pi varied by trapping session, site, and DTEi (AICc
weight ¼ 0.99). Capture probability (^p i� ) was strongly
influenced by behavioral effects (recapture probability was
lower than initial capture probability), age (adults were more
The Journal of Wildlife Management

�

78(4)

�Table 1. Model selection results for snowshoe hare density in mature spruce-fir, early seral lodgepole pine, and thinned, mid-seral lodgepole stands in central
Colorado, USA, summer 2006–winter 2009. We compared 60 models and show the top 10 based on Akaike’s Information Criterion corrected for small
sample size (AICc; Burnham and Anderson 2002). For all models, the structure indicated for capture probability (p) was paired with the best structure for ~p
(DTE þ grid þ session) as determined during a previous model selection step. Heterogeneity indicates a 2-point mixture model to account for individual
heterogeneity in capture probability. DTE is an individual covariate representing distance to the edge of the site from the mean capture location. Age is an
effect indicating juvenile (young of the year) or adult. Behavioral effects allow for recapture probabilities to differ from initial capture probabilities. K is the
total number of parameters in the model and wi is the Akaike weight. Density estimation was implemented in Program MARK using information from
telemetry sampling to correct for lack of geographic closure.
Model
p(heterogeneity þ DTE þ age þ behavior þ site þ session)
p(heterogeneity þ DTE þ age þ behavior þ site þ session þ wintertemp)
p(heterogeneity þ DTE þ age þ behavior þ site þ season)
p(heterogeneity þ DTE þ age þ behavior þ site þ season þ wintertemp)
p(heterogeneity þ DTE þ age þ behavior þ site)
p(heterogeneity þ DTE þ age þ behavior þ session þ forest type)
p(heterogeneity þ DTE þ age þ behavior þ session)
p(heterogeneity þ DTE þ age þ behavior þ session þ forest type þ wintertemp)
p(heterogeneity þ DTE þ age þ behavior þ session þ wintertemp)
p(heterogeneity þ DTE þ age þ behavior þ season þ forest type)

difficult to capture than juveniles), trapping session, and site.
These effects appeared in the only models that held any
weight (Table 1), and slope parameters for these effects were
strongly divergent from 0. Minimum daily temperature
during winter trapping also appeared in the top models, but
its inclusion increased AICc scores and the slope for this
effect was 0, indicating that it is not an important variable. As
we hypothesized, individual heterogeneity and DTEi were
important enough to include in every model because
removing heterogeneity from the top model added 170
units to its AICc score and removing DTEi added 50 units.
We estimated snowshoe hare densities in all forest types
and all seasons to be &lt;1.0 hares/ha (Fig. 2). During summer,
densities [�SE] were generally highest in early seral
lodgepole stands (0.20 [0.01] to 0.66 [0.07] hares/ha),
lowest in mid-seral lodgepole (0.01 [0.04] to 0.03
[0.03] hares/ha), and intermediate in mature spruce-fir

AICc

DAICc

wi

K

3,482.2
3,484.3
3,492.5
3,494.2
3,494.8
3,500.9
3,501.9
3,502.4
3,503.1
3,504.5

0.0
2.0
10.3
11.9
12.6
18.7
19.7
20.2
20.8
22.3

0.73
0.26
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00

41
42
37
38
36
32
30
33
31
28

stands (0.01 [0.002] to 0.26 [0.08] hares/ha). Summer
2008 was an exception in that density in spruce-fir was
estimated near 0 because we did not capture many
individuals. However, telemetry information and direct
observation indicated that several hares were present in the
spruce-fir sites but never captured. This phenomenon did not
occur for other forest types or during other seasons and its
cause was unclear. Regardless, we likely underestimated hare
density in the mature spruce-fir stand type during summer
2008.
During winter, density estimates generally became more
similar among forest types. Early seral lodgepole sites lost
hares from summer to winter, mid-seral lodgepole stands
gained hares (although inference is weak given the poor
precision of these estimates), and mature spruce-fir stands
retained nearly as many hares as during the previous summer
(except during 2008 as noted above). The bulk of hares in the

Figure 2. Snowshoe hare density and 95% confidence intervals in 3 forest types in central Colorado, summer 2006 through winter 2009. We derived estimates
using a combination of mark-recapture and radiotelemetry to correct for lack of geographic closure during sampling periods.
Ivan et al.

�

Density and Demography of Snowshoe Hares

587

�Table 2. Table of model selection results for snowshoe hare survival in
mature spruce-fir, early seral lodgepole, and thinned, mid-seral lodgepole
pine stands in central Colorado, USA, summer 2006–summer 2009. We
compared 56 models and show the top 10 based on Akaike’s Information
Criterion corrected for small sample size (AICc; Burnham and
Anderson 2002) are shown. For all models, the structure indicated for
�
survival (S) was paired with the best structure for capture probability (P i ).
Other model parameters were fixed to be constant (.) or 0. K is the total
number of parameters in the model and wi is the Akaike weight. Survival
estimation was implemented via the Barker/Robust Design data type in
Program MARK using telemetry sampling to improve precision over markrecapture alone.
Model

AICc

S(season þ spruce-fir)
2,631.9
S(season)
2,631.9
S(2-winter decline)
2,632.0
S(2-winter decline þ spruce-fir)
2,632.3
S(season þ spruce-fir þ 2-winter decline) 2,632.7
S(season þ spruce-fir þ 1-winter decline) 2,632.8
S(season þ 2-winter decline)
2,632.8
S(season þ 1-winter decline)
2,633.2
S(season þ forest type)
2,633.6
S(season þ spruce-fir þ age)
2,634.1

DAICc

wi

K

0.0
0.0
0.1
0.4
0.8
0.9
0.9
1.3
1.7
2.2

0.09
0.09
0.09
0.07
0.06
0.06
0.06
0.05
0.04
0.03

32
31
31
32
33
33
32
32
33
33

system occurred in either early seral lodgepole or mature
spruce-fir stands. Hares in these 2 forest types apparently
underwent a decline that began in winter 2007 and ended in
either summer 2008 (early seral lodgepole) or winter 2009
(spruce-fir; Fig. 2).
Survival
We found strong support for seasonal differences in hare survival
and for depressed survival during the first 2 winters of the study
(Table 2). These effects pervade the top models in the set
(cumulative AICc weight for season ¼ 0.66, cumulative AICc
weight for 2-winter decline ¼ 0.44) and parameter estimates
were non-zero. The addition of spruce-fir improved model AICc
scores (cumulative AICc weight for spruce-fir ¼ 0.41) but the
95% confidence intervals on the coefficients overlapped 0. We
found little evidence that hare age or forest type (considering all
3 forest types individually rather than simply spruce-fir or
lodgepole pine) influenced survival; these effects appeared in
some of the top models, but their addition generally increased
AICc scores, cumulative AICc weights were low (0.17–0.25),
and 95% confidence intervals on their coefficients included 0.
Model-averaged estimates reflected that summer to winter
survival was higher than winter to summer survival, winter
survival early in the study was depressed, and survival was higher
for animals in spruce-fir compared to the lodgepole forest types.
Annual survival ranged from 0.10 (0.03) to 0.20 (0.07)
depending on year and forest type (Table 3).
Variance Components
Density.—Horizontal cover explained the greatest portion
of variation in hare densities after accounting for variation
due to trapping session, followed by stem density, percent
tree canopy cover, and down wood (Table 4). Hare density
was positively associated with horizontal cover, stem density,
canopy cover, and hectares of willow in the surrounding
landscape, and negatively associated with distance to willow
and height of tree crowns, but only the values of the
588

Table 3. Model-averaged adult survival estimates (SE) for snowshoe hares
inhabiting mature spruce-fir forests, thinned mid-seral (MS) lodgepole
pine, and early seral (ES) lodgepole pine in central Colorado, USA,
summer 2006–summer 2009. Site-specific estimates and associated
standard errors were averaged using the delta method (Seber 1982).
Thirty-day survival estimates represent transformation of annual estimates
into generic 30-day intervals.
Year 1
Spruce-fir
Summer–Winter
Winter–Summer
Annual
30-day
MS Lodgepole
Summer–Winter
Winter–Summer
Annual
30-day
ES Lodgepole
Summer–Winter
Winter–Summer
Annual
30-day

Year 2

Year 3

0.52
0.28
0.14
0.85

(0.08)
(0.05)
(0.05)
(0.02)

0.54
0.30
0.16
0.86

(0.07)
(0.05)
(0.05)
(0.02)

0.53
0.39
0.20
0.88

(0.08)
(0.05)
(0.07)
(0.03)

0.47
0.23
0.11
0.83

(0.07)
(0.05)
(0.03)
(0.02)

0.48
0.25
0.12
0.84

(0.07)
(0.05)
(0.03)
(0.02)

0.48
0.34
0.16
0.86

(0.07)
(0.10)
(0.06)
(0.02)

0.46
0.23
0.10
0.83

(0.004)
(0.002)
(0.03)
(0.02)

0.47
0.24
0.12
0.84

(0.004)
(0.003)
(0.03)
(0.02)

0.47
0.33
0.15
0.86

(0.003)
(0.01)
(0.05)
(0.02)

coefficients of horizontal cover and stem density differed
from 0. For the analysis limited to early seral lodgepole sites,
process variance could not be estimated, likely because it was
swamped by large sampling variance. However, the
coefficients and associated 95% confidence intervals in the
random effects models indicated positive relationships
between hare density and both the amount of early seral
lodgepole surrounding the patch of interest and distance to
the nearest early seral lodgepole patch. Total precipitation
1 year prior to sampling accounted for more trapping session
to trapping session variation than total precipitation 2 years
prior and it was positively correlated with density (Table 4).
Survival.—Habitat variables accounted for little of the
variation in survival and no relationships were in the expected
direction (Table 5). In the analysis limited to early seral
lodgepole stands, we found evidence that survival was
positively related to the amount of early seral lodgepole in the
immediate landscape, and negatively related to distance to
the nearest neighboring early seral lodgepole. Total
precipitation in the current interval was positively associated
with survival and explained a substantial portion of intervalto-interval variation in survival. Other weather variables
explained little, if any variation, although the direction of the
estimate for departure from normal snowfall was as predicted
(Table 5).
Recruitment
In situ recruitment of juvenile hares was most consistent in
early seral lodgepole sites (Fig. 3a). Juveniles were recruited
into spruce-fir sites during 2 of the 3 years of the study, but
were minimally recruited into mid-seral lodgepole in only
1 year (Fig. 3a). Hares immigrated into spruce-fir and midseral lodgepole sites during each summer to winter interval,
but immigration estimates were 0 or slightly negative (i.e.,
emigration occurred) during winter to summer intervals
(Fig. 3b). Conversely, hares tended to immigrate into early
The Journal of Wildlife Management

�

78(4)

�Table 4. Variance components analysis for density estimates (n ¼ 72) of snowshoe hares from central Colorado, USA, summer 2006–winter 2009. Estimates
were not independent of each other, so we examined effects that varied by site after fitting a fixed effect for trapping session; we examined effects that varied
by session after fitting a fixed effect for site. Percentages represent estimated portion of the total process variation explained by the effect of interest, after
accounting for site or session effects.
Effect

% Variation explained

^
Slope (b)

95% LCL

95% UCL

60.4
34.1
22.6
18.5
8.3
2.4
0.0
0.0
0.0

0.000675
0.000005
0.043654
�0.000351
0.001319
�0.013963
�0.000004
0.006527
0.000173

0.000232
0.000001
�0.005025
�0.000772
�0.000665
�0.039057
�0.000024
0.003115
0.000022

0.001118
0.000009
0.092333
0.000070
0.003303
0.011131
0.000016
0.009939
0.000324

58.0
25.5

0.000056
0.000033

0.000021
0.000000

0.000091
0.000066

After accounting for session
Horizontal cover
Stem density
Canopy cover
Down wood
Hectares of willow
Crown height
Distance to willow
Hectares of early seral lodgepolea
Distance to early seral lodgepolea
After accounting for site
Total precipitation (1 yr prior)
Total precipitation (2 yr prior)
a

Random effects model run using data from early seral lodgepole stands only (n ¼ 36).

seral lodgepole from winter to summer. However, these
inferences are very weak because of poor precision for all
immigration estimates.

DISCUSSION
Snowshoe hare densities in the study area were &lt;1.0 hares/ha
and in most cases were &lt;0.3 hares/ha. These densities
correspond to those observed during the low phase of
population cycles in boreal Canada (Hodges 2000b), but are
within the usual range reported for other studies in the Rocky
Mountains (e.g., Wirsing et al. 2002, Zahratka and
Shenk 2008, Ellsworth and Reynolds 2009, Griffin and
Mills 2009, Hodges et al. 2009) with the exception of
western Wyoming where densities were higher (Berg
et al. 2012). Our density estimates might have been higher
had we used an abundance estimator in conjunction with a
method for buffering the grid to account for lack of
geographic closure, which is how other density estimates in
the Rocky Mountains have been computed. Indeed, re-

calculating densities in this study area using popular 1/2 mean
maximum distance moved (MMDM) or full MMDM
methods (Wilson and Anderson 1985, Parmenter
et al. 2003), increased our estimates by an average of
100% and 33%, respectively. Simulations suggest, however,
that such an approach is prone to positive errors, whereas the
approach we used is not (Ivan et al. 2013b).
The generally higher hare densities we recorded in early
seral lodgepole stands and mature spruce-fir compared to
thinned, mid-seral lodgepole is consistent with our
hypotheses and the results of other studies. Griffin and
Mills (2009) reported that the highest summer densities of
hares in Montana occurred in dense young stands followed
by dense mature then open stands. Griffin and Mills (2007)
and Homyack et al. (2007) also found that pre-commercial
thinning had a negative impact on hare densities. Like
Griffin and Mills (2009), we also observed lower hare
densities in early seral lodgepole stands during winter
compared to summer. Conversely, mid-seral lodgepole

Table 5. Variance components analysis for survival estimates (n ¼ 72) of snowshoe hares from central Colorado, USA, summer 2006–summer 2009.
Estimates were not independent of each other, so we examined effects that varied by site after fitting a fixed effect for trapping session; we examined effects
that varied by session after fitting a fixed effect for site. Percentages represent the estimated portion of the total process variation explained by the effect of
interest, after accounting for site or session effects.
Effect

% Variation explained

^
Slope (b)

95% LCL

95% UCL

7.1
3.5
1.2
1.2
1.2
0.0
0.0
55.6
47.2

�0.000376
�0.083534
�0.000233
�0.000064
0.000009
�0.000002
0.013311
0.001509
�0.000029

�0.000711
�0.172465
�0.000552
�0.000156
�0.000003
�0.000006
�0.012057
0.001001
�0.000041

�0.000041
0.005397
0.000086
0.000028
0.000021
0.000002
0.038679
0.002017
�0.000017

82.0
0.0
0.0

0.000278
�0.000532
�0.000017

0.000217
�0.002384
�0.000070

0.000339
0.000132
0.000036

After accounting for session
Down wood
Canopy cover
Horizontal cover
Hectares of willow
Distance to willow
Stem density
Crown height
Hectares of early seral lodgepolea
Distance to early seral lodgepolea
After accounting for site
Total precipitation
Depart normal days with snow
Total precipitation (6-month lag)
a

Random effects model run using data from early seral lodgepole stands only (n ¼ 36).

Ivan et al.

�

Density and Demography of Snowshoe Hares

589

�Figure 3. Recruitment of snowshoe hares (hares/ha) via in situ reproduction
(a) and immigration (b) into 3 forest types in central Colorado, summer
2006–winter 2009. Negative immigration estimates indicate emigration of
hares away from the forest type of interest.

stands had higher hare densities during winter. These
patterns are consistent with our recruitment estimates, which
indicate recruitment of hares into mid-seral lodgepole stands
during the summer to winter interval, and movement into
early seral lodgepole stands during the winter to summer
interval.
The most obvious explanation for marked seasonal
differences in density at lodgepole sites is the interaction
between snow depth and tree canopy. Mid-seral lodgepole
stands were mature enough that lower limbs were largely
inaccessible to hares during summer, but during winter,
snows brought those canopies within reach for use as browse
and/or cover. Conversely, heavy winter snows exacerbated by
a snow fence effect could have filled early seral lodgepole
stands with snow making them less desirable. Hares in
mature spruce-fir forests exhibited less dramatic seasonal
changes in density, possibly because the complex structure of
these stands provided cover and browse under a variety of
conditions.
Beyond forest type, our analysis confirmed that variation in
hare density was positively correlated with dense cover (e.g.,
horizontal cover, stem density), which has been shown
consistently throughout the snowshoe hare literature
(Hodges 2000b, Ellsworth and Reynolds 2009, Lewis
et al. 2011). That precipitation during the 12 months
preceding sampling explained a fair amount of variation in
hare density may be related to high precipitation resulting in
more herbaceous forage and cover, which promoted survival
and reproduction. However, this correlation is tenuous given
the short duration of the study.
590

In all forest types, snowshoe hare survival was highest
during summer-winter and lowest during winter-summer,
which we attribute to a nutritional advantage at the end of
summer-winter that is reversed by the end of winter. The
somewhat higher survival in spruce-fir stands than in either
of the lodgepole types is consistent with higher survival for
hares in dense mature forests compared to dense young or
open young types described by Griffin and Mills (2009).
Nutrition might partially explain the difference in survival
between stands as well. Hodges et al. (2009) postulated that
hares in the Yellowstone may be nutritionally stressed,
especially over winter, because of the monotypic nature of
lodgepole pine stands that lack a diversity of food items. We
also observed that hares in early and mid-seral lodgepole
stands made longer movements in all seasons compared to
hares in spruce-fir, and many of these movements were
through open patches with poor cover (J. Ivan, Colorado
State University, unpublished data). Thus, lower survival in
lodgepole pine stands could be a result poor nutrition,
heavier predation, or some combination of the 2.
Survival and vegetation attributes were weakly related and
largely opposite of the predictions based on previous work.
We offer 2 explanations for this discrepancy. First, hares used
larger areas than we anticipated at the onset of the study.
Perhaps habitat measurements we made on relatively small
trapping grids were not representative of the areas hares used
during the study, which led to counterintuitive results.
Second, we estimated survival over long time periods in
which conditions covered a gradient from summer to winter.
We measured habitat covariates at the endpoints of these
intervals. Thus, our habitat covariates were not matched
tightly to the interval we applied them. For instance, we
simply used crown height as a covariate to try to explain
variation in survival. However, crown height likely varied
substantially as conditions changed from summer to winter,
ranging from approximately 0.8 m to 0 m as snow
accumulated. Had we sampled to estimate survival on a
weekly basis, for example, and measured this covariate each
week, the relationship may have been more meaningful.
We found both density and survival of hares in early
lodgepole stands were positively associated with the amount
of similar habitat in the surrounding landscape. Also, survival
was negatively related to distance to the nearest similar patch.
Lewis et al. (2011) also noted that hare density was positively
related to the amount of good habitat in the landscape
surrounding the patch of interest. Thus, in areas where early
seral lodgepole is maintained for snowshoe hare and lynx
conservation, juxtaposition may be an important consideration.
No combination of survival and recruitment estimates from
any forest type in any year would result in a self-sustaining
population. This is somewhat unsurprising given that we
sampled during an apparent population decline, but it is not
consistent with the partial recovery we observed, especially
considering that we sampled purportedly good hare habitat.
Annual and 30-day survival estimates were within the range
of values reported elsewhere for hares (e.g., Hodges 2000b,
Hodges et al. 2001, Griffin and Mills 2009); survival early in
The Journal of Wildlife Management

�

78(4)

�the study was closer to rates reported for populations known
to be in decline, whereas survival later in the study was
consistent with rates reported for increasing populations
(Hodges 2000b). This suggests that recruitment estimates, at
least in the last year of the study when the population
apparently began to recover, were too low. The first of our 3
summer sampling sessions started in mid-July each year,
corresponding to the timing of the second birth pulse of
hares in the area (Dolbeer and Clark 1975). Juveniles born
during this pulse may have been unavailable for capture
during initial summer sampling sessions. Given that second
litters are often larger than first litters (Dolbeer and
Clark 1975, Griffin and Mills 2009), and during recovery
hares are more productive than usual (Krebs et al. 2001a), we
may have missed a substantial number of juvenile hares.
Furthermore, in some years, third litters are possible in
Colorado (Dolbeer and Clark 1975). If third litters were
produced in August, we likely under-sampled those juveniles
to a greater degree than the second litter as sampling
concluded a short time after they were born. However, given
that we sampled replicates of each forest type evenly
throughout the summer, relative differences in recruitment
among forest types are probably representative even if overall
recruitment was underestimated.
We observed a decline in hare densities at our spruce-fir
and early seral lodgepole study sites, followed by a partial
recovery. Coincidentally, research crews that were snowtracking lynx throughout the Core Reintroduction Area in
southwest Colorado noted apparent declines in snowshoe
hare tracks at the same time. This seemingly widespread
decline in hare density may have had important ramifications
for Canada lynx ecology and management in Colorado.
Colorado Parks and Wildlife documented reproduction by
reintroduced lynx from 2003 to 2006, which included the
first summer of snowshoe hare research presented here
(Shenk 2009). Anecdotal information suggests that statewide hare populations were high during those years (T.
Shenk, Colorado Division of Wildlife, unpublished data).
No reproduction was recorded during the 2 summers of
apparent hare decline during this study, but reproduction
resumed following winter 2009 (Shenk 2009) when hare
populations apparently began to recover. This association is
purely correlative and suffers from the lack of a long time
series. However, it has been shown elsewhere (e.g., Brand
et al. 1976, Poole 1994) that snowshoe hares play a critical
role in successful reproduction by lynx. Our results suggest
that may be the case in Colorado as well.
This study is one of the first in the Southern Rockies in
which site-specific density and demography of snowshoe
hares were simultaneously quantified during both summer
and winter across several forest types and across several years.
We used multiple data sources simultaneously in the analysis
to improve precision of estimates. Such an approach provides
an accurate assessment of the full complement of vital rates
necessary to properly evaluate forest types with respect to
snowshoe hare ecology. We temper our findings with the
recognition that sampling covered a relatively small area, and
we did not choose sites randomly, which precludes any
Ivan et al.

�

Density and Demography of Snowshoe Hares

statistical inference beyond those areas sampled. Despite
these limitations, our results clearly show that snowshoe hare
density and recruitment were uniformly low in thinned, midseral lodgepole pine. Hares reached their highest densities
and recruited juveniles most consistently in early seral
lodgepole stands, followed closely by spruce-fir. Survival was
highest in spruce-fir stands. Thus, of the 3 forest types we
sampled, early seral lodgepole pine and late seral spruce-fir
provided the best habitat for snowshoes hares, and these
stand types should be the priority for those charged with
managing forests for snowshoe hares. We note, however,
that early seral lodgepole stands occupied only 6,167 ha in the
study area, whereas mature spruce-fir stands occupied
62,512 ha. Similarly, spruce-fir forests encompass twice
the area of lodgepole pine forests statewide (Buskirk
et al. 2000) and only a portion of statewide lodgepole
pine stands are early seral. Furthermore, the complex
structure of late-successional spruce-fir forests can potentially provide hare habitat for many decades, whereas the
dense structure of early seral lodgepole stands is more
ephemeral. Thus, although some metrics of snowshoe hare
population performance favor early seral lodgepole, the sheer
area covered by spruce-fir, combined with the longevity with
which it may provide habitat, make it a priority resource for
hares.

MANAGEMENT IMPLICATIONS
We conclude that timber management for snowshoe hares in
central Colorado should focus on maintenance of mature
spruce-fir forest on the landscape, as well as early seral
lodgepole pine. In either case, management practices that
encourage dense understory cover within these stands are
likely to benefit snowshoe hares. Because early seral
lodgepole pine often occurs as small (&lt;5 ha) patches within
a matrix of poor habitat, juxtaposition likely affects hare
density. We found that both density and survival of hares
inhabiting early seral lodgepole stands were related to the
amount of similar stands in the adjacent landscape. Existence
of only 1–2 early seral lodgepole patches in an area, or many
patches that are far apart, may not provide good habitat for
hares.

ACKNOWLEDGMENTS
K. Wilson, B. Romme, P. Doherty, D. Freddy, C. Bishop,
and P. Lukacs provided helpful insight on the design of this
study. We appreciate the invaluable logistical support
provided by M. Jackson, A. Haines, J. Spritzer, K. Spetter,
M. Michaels, G. Engler, D. Winkelman, B. Diamond, C.
Parmeter, K. Dixon, L. Wolfe, L. Baeten, J. Gammonley, D.
Freddy, C. Bishop, J. Vayhinger, and B. Bibles. The
following hardy individuals collected the data presented here:
B. Burkholder, M. Cuzzocreo, B. Gerber, B. Marine, A.
Behney, P. Lundberg, K. Yale, B. Shielke, C. VanStratt, M.
Watrobka, M. Goss, S. Blake, K. Rutz, R. Saltmarsh, J.
Sinclair, E. Wilson, M. Levine, M. Strauser, G. Davidson,
L. Yandow, R. Sattler, C. Cummins, D. Fraser, M.
Ratchford, M. Petriello, C. Soria, R. Stitt, S. Ryan, E.
Newkirk, K. Heinrick, M. Strauser, D. Miles, C. Brown, G.
591

�Merrill, B. Dickman, B. Buckley, S. Murphy, C. Vanbianchi,
and C. Nelson. K. Wilson, P. Doherty, W. Rommey, S.
Mills, and an anonymous reviewer greatly improved early
drafts of this manuscript. Funding was provided by Colorado
Parks and Wildlife.

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Associate Editor: Amy Kuenzi.

593

�APPENDIX A. VEGETATION SAMPLING
To characterize forest types and generate covariates for explaining variation in density or survival of hares, we systematically
sampled structural attributes of each replicate site at 15 of the 84 trap locations (or 9 of the 42 trap locations for early seral
lodgepole sites) using protocols developed from previous lynx and hare work in the region (Zahratka 2004, Shenk 2006).
Specifically, at each sampled trap location we measured 1) stem density, 2) canopy cover, 3) horizontal cover, 4) crown height,
and 5) down wood. We estimated stem density by measuring distance from the trap location to the nearest stem 1.0–7.0 cm
diameter. We then applied the closest individual method of Cottam and Curtis (1956) to convert these measurements to
density. We estimated canopy cover using vertical densitometer (Geographic Resource Solutions, Arcata, CA) readings from a
subsample of 25 points centered at the trap location. We measured both canopy cover and stem density at heights of 0.1 m and
1.0 m above the ground to capture summer and winter conditions, respectively. We used a cover board (read from a distance of
6 m) to characterize horizontal cover in 0.5-m increments from 0 m to 2 m above ground (Nudds 1977). We measured crown
height as the distance from the ground to the lowest live branch on the nearest tree. We estimated metric tons of down wood
(�2.54 cm in diameter) per hectare according to Brown (1974). We averaged all structural measurements across the 15 (or 9)
trap sites to characterize the site.
In addition to these structural covariates, we also considered landscape attributes as potential explanatory variables as well.
Thus, we quantified the hectares of willow and early seral lodgepole within the landscape around each site (landscape defined by
a buffer around the trapping grid equal to the 90th percentile of the maximum movements of all hares from their respective grids
during a given season; approx. 1,000 m) along with the distance to the nearest patch of each.
Table A. Structural characteristics of mature spruce-fir, even-aged small lodgepole, and thinned, even-aged mid-seral lodgepole stands that we sampled
for snowshoe hare density and demography, central Colorado, summer 2006–winter 2009. Estimates represent means (SD) from n ¼ 3 mature spruce-fir,
n ¼ 3 mid-seral lodgepole, and n ¼ 6 early seral lodgepole sites. We obtained values for each site by averaging measurements from systematic
subsampling at n ¼ 15 (spruce-fir, mid-seral lodgepole) or n ¼ 9 (early seral lodgepole) trap locations within each site. Note that all measurements are
summarized here to give a complete picture of study site attributes. However, we used only a subset of these measurements as covariates for modeling
density and/or survival.
Characteristic

Spruce-fir
a

Horizontal cover 0.0–0.5
Horizontal cover 0.5–1.0a
Horizontal cover 1.0–1.5a
Horizontal cover 1.5–2.0a
Summer stem density 1–7 cmb,c
Summer stem density 7–10 cmb,c
Summer stem density &gt;10 cmb,c
Winter stem density 1–7 cmb,d
Winter stem density 7–10 cmb,d
Winter stem density &gt;10 cmb,d
Summer canopy cover (%)c
Winter canopy cover (%)d
Crown height (m)e
Down woodf
Snow depth year 1 (m)
Snow depth year 2 (m)
Snow depth year 3 (m)

69.7
37.4
24.4
31.3
3,618
577
1,679
1,366
586
1,465
64.9
56.6
0.65
57.7
0.77
1.37
0.97

(8.1)
(4.1)
(1.4)
(3.5)
(1,046)
(63)
(401)
(492)
(129)
(274)
(2.7)
(3.5)
(0.21, 1.29)
(26.2)
(0.31)
(0.25)
(0.12)

Mid-seral lodgepole
37.1
25.3
22.3
27.9
1,431
151
1,600
332
173
1,447
49.6
45.3
0.83
47.7
0.49
1.07
0.7

(11.6)
(9.7)
(4.5)
(6.5)
(912)
(83)
(198)
(69)
(79)
(347)
(8.0)
(10.0)
(0.48, 1.16)
(9.4)
(0.13)
(0.13)
(0.13)

Early seral lodgepole
53.7
56.6
56.6
65.6
4,467
1117
647
2,966
920
527
52.3
46.2
0.53
24.5
0.47
0.97
0.69

(9.7)
(10.2)
(12.4)
(14.9)
(1,808)
(469)
(317)
(1,427)
(621)
(301)
(5.8)
(6.9)
(0.23, 0.64)
(11)
(0.14)
(0.12)
(0.14)

a

Percent of coverboard obstructed by vegetation in 0.5-m increments up to 2 m.
Stems/ha in 1–7, 7–10, and &gt;10 cm diameter classes.
Summer measurement taken 0.1 m above ground.
d
Winter measurement taken 1.0 m above ground.
e
Median (25th percentile, 75th percentile) height from ground to lowest live branches. Median and percentiles were based on pooled data from all replicates
within a stand type.
f
Metric tons/ha of down wood �2.54 cm in diameter.
b
c

594

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78(4)

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              <text>&lt;span&gt;To improve understanding of snowshoe hare ecology in the Southern Rockies and enhance the ability of agency personnel to manage subalpine landscapes for snowshoe hares (&lt;/span&gt;&lt;i&gt;Lepus americanus&lt;/i&gt;&lt;span&gt;) and lynx (&lt;/span&gt;&lt;i&gt;Lynx canadensis&lt;/i&gt;&lt;span&gt;) in the region, we estimated snowshoe hare density, survival, and recruitment in west-central Colorado, USA from July 2006–March 2009. We sampled 3 types of forest stands that purportedly provide good habitat for hares: 1) mature Engelmann spruce (&lt;/span&gt;&lt;i&gt;Picea engelmannii&lt;/i&gt;&lt;span&gt;)–subalpine fir (&lt;/span&gt;&lt;i&gt;Abies lasiocarpa&lt;/i&gt;&lt;span&gt;), 2) early seral, even-aged lodgepole pine (&lt;/span&gt;&lt;i&gt;Pinus contorta&lt;/i&gt;&lt;span&gt;), and 3) mid-seral, even-aged lodgepole pine that had been pre-commercially thinned. In all forest types and all seasons, snowshoe hare densities were &amp;lt;1.0 hares/ha. During summer, hare densities [±SE] were highest in early seral lodgepole pine (0.20 [0.01] to 0.66 [0.07] hares/ha), lowest in mid-seral lodgepole pine (0.01 [0.04] to 0.03 [0.03] hares/ha), and intermediate in mature spruce-fir (0.01 [0.002] to 0.26 [0.08] hares/ha). During winter, densities were more similar among the 3 stand types. Annual survival of hares was highest in mature spruce-fir (0.14 [0.05] to 0.20 [0.07]) and similar between the 2 lodgepole stand types (0.10 [0.03] to 0.16 [0.06]). Stand attributes indicative of dense cover were positively correlated with density estimates and explained relatively more spatial process variance in hare densities than other attributes. These same attributes were not positively correlated with hare survival. Both density and survival of hares in early seral lodgepole stands were positively correlated with the extent of similar stands in the surrounding landscape. Recruitment of juvenile hares occurred during all 3 summers in early seral lodgepole stands, 2 of 3 summers in mature spruce-fir stands, and in only 1 of 3 summers in mid-seral lodgepole. Based on estimates of density and demography specific to each forest type, we conclude that managers should maintain mature spruce-fir and early seral lodgepole stand types rather than thinned, mid-seral lodgepole stands to benefit snowshoe hares (and by association lynx) in central Colorado. Given the more persistent nature of spruce-fir compared to early seral lodgepole, and the fact that such stands cover considerably more area, mature spruce-fir may be the most valuable forest type for snowshoe hares in the region.&lt;/span&gt;</text>
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          <name>Bibliographic Citation</name>
          <description>A bibliographic reference for the resource. Recommended practice is to include sufficient bibliographic detail to identify the resource as unambiguously as possible.</description>
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              <text>Ivan, J. S., G. C. White, and T. M. Shenk. 2014. Density and demography of snowshoe hares in central Colorado. The Journal of Wildlife Management 78:580–594. &lt;a href="https://doi.org/10.1002/jwmg.695" target="_blank" rel="noreferrer noopener"&gt;https://doi.org/10.1002/jwmg.695&lt;/a&gt;</text>
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          <name>Creator</name>
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            <elementText elementTextId="5084">
              <text>Ivan, Jacob S.</text>
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            <elementText elementTextId="5085">
              <text>White, Gary C.</text>
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              <text>Shenk, Tanya M.</text>
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        <element elementId="49">
          <name>Subject</name>
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              <text>Colorado</text>
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              <text>Demography</text>
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              <text>Density</text>
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              <text>Forest management</text>
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              <text>&lt;em&gt;Lepus americanus&lt;/em&gt;</text>
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              <text>Recruitment</text>
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              <text>Snowshoe hare</text>
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              <text>Telemetry</text>
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              <text>15 pages</text>
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              <text>2014-04-21</text>
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              <text>The Journal of Wildlife Management</text>
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