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                  <text>One or more of the authors of this paper is a Colorado Parks and Wildlife employee. This is an open
access journal article, archived on the CPW Digital Collections site as part of the CPW scholarly research
archive.

�Received: 19 May 2023

I Accepted: 27 November 2023

DOI: 10.1111/ 2041-210X.14274

Methods in Ecology and Evolution
~

RESEARCH ARTICLE

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A multi-property assessment of intensity of use provides a
functional understanding of animal movement
12

G. Bastille-Rousseau •
N . T. Gorman
H. Manninen

3

4

e I

12

S. A. Crews •

12
I J.B. Pitman •
5

I S. Blake

I

I

12

E. B. Donovan •

12
I A. M . Weber •
12
M. W. Eichholz • e

12

M. E. Egan •

E. M . Audia1•2
6

I E. Bergman

I

e I

M . R. Larreur1•2

I N . D. Rayl7

'Cooperative Wildlife Research Laboratory, Southern Illinois University, Carbondale, Illinois, USA; 2 School of Biological Sciences, Southern Illinois University,
Carbondale, Illinois, USA; 3 Department of Fish and Wildlife Conservation, Virginia Tech, Blacksburg, Virginia, USA; 4 Montana Cooperative Wildlife Research
Unit, University of Montana, M issoula, Montana, USA; 5Department of Biology, St. Louis University, St. Louis, Missouri, USA; 6Colorado Parks and Wildlife,
Fort Col lins, Colorado, USA and 7 Colorado Parks and Wildlife, Grand Junction, Colorado, USA

Correspondence
G. Bastille-Rousseau
Email: gbr@siu.edu
Funding i nformation
IDNR-Wildlife Restoration Act, Grant/
Award Number: W213R1, #W13R23,
#W135R22, #W87R45 and #W87R44;
United States Fish and Wildlife Service
Federal Aid Research Grant; Colorado
Parks and Wildlife (CPW) Game Cash
Funds; Rocky Mountain Elk Foundation;
Pitkin County Open Space and Trails;
National Science Foundation, Grant/
Aw ard Number: DEB 1258062; Max
Planck Institute for Ornithology; National
Geographic Society Committee for
Research and Exploration; Galapagos
Conservation Trust; Institute for
Conservation Medicine of the Saint Louis
Zoo; Woodspring Trust; Swiss Friends of
Galapagos; SIU startup Fund

Abstract
1. The intensity of use of a location is one of the most studied properties of animal
movement, yet movement analyses generally focus on the overall use of a location without much consideration of how patterns in intensity of use emerge.
Extracting properties related to intensity of use, such as the number of visits, the
average and variation in time spent and the average and variation in time between
visits, could help provide a more mechanistic understanding of how animals use
landscape. Combining and synthesizing these properties into a single spatial representation could inform the role that a location plays for an animal.
2. We developed an R package named 'UseScape' that allows the extraction of
these metrics and then clustered them using mixture modelling to create a spatial
representation of the type of use an animal makes of the landscape. We illustrate
applications of the approach using datasets of animal movement from four taxa
and highlight species-specific and cross-species insights.
3. Our framework highlights properties that functionally differ in how animals use

Handling Editor: Chris Sutherland

them, contrasting, for example, heavily used locations that emerge because they
are frequented for long durations, locations that are repeatedly and regularly visited for shorter durations of time or locations visited irregularly. We found that
species generally had similar types of use, such as typical low, mid and high use,
but there were also species-specific clusters that would have been ignored when
only focusing on the overall intensity of use.
4. Our multi-system comparison highlighted how the framework provided novel
insights that would not have been directly obtainable by currently available approaches. By making the framework available as an R package, these analyses can
be easily applicable to a myriad of systems where relocation data are available.

This is an open access article under the terms of the Creative Commons Attribution-Noncommercial License, w hich permits use, distribution and reproduction
in any medium, provided the original work is properly cited and is not used for commercial purposes.
© 2023 The Authors. Methods in Ecology and Evolution published by John Wiley &amp; Sons Ltd on behalf of British Ecological Society.
Methods Ecol Evol. 2024;15:345- 357.

w ileyonlinelibrary.com/journal/mee3

345

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�BASTILLE-ROUSSEAU

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Movement ecology as a field can strongly benefit from approaches that not just
describe patterns in space use, but also highlight t he behavioural mechanisms
leading to these emerging patterns.
K EY W OR D S

animal movement, clustering, GPS telemetry, intensity of use, mixture model, recursive
movement, residency time, revisitat ion, space use

1

INTRODUCTION

provide new insights into animal ecology (Brads et al., 2018; Freitas,
Kovacs, Lydersen, et al., 2008; Riotte-Lambert eta I., 2013). However,

Animal movement is a fundamental behaviour by which individ-

it remains that none of the analyses mentioned above, when applied

uals respond to their environment. As such, movement is often at

alone, fu lly captures the ways in which an animal uses a location.

the core of how an animal w ill access resources, avoid risks, inter-

Ideally, information regarding the total time spent in that location,

act with conspecifics and encounter disease (Lima &amp; Zollner, 1996;

the number of t imes the location was visited, the average duration

Wittemyer et al., 2019). Given its role in a myriad of ecological pro-

of each visit and the average duration of each interval between vis-

cesses, understanding animal movement has become a predominant

its should be combined to fully distinguish the diverse types of use.

area of spatial and wildlife ecology, especially due to t he constant

Quantifying the variation in the duration of each visit and the varia-

development of technology to obtain relocations and ways of an-

tion in the duration of each interval between visits to evaluate how

alysing these data (Kays et al., 2015; Wilmers et al., 2015). Animal

predictable/ regular the use of a location would provide additional

movement data are also increasingly providing information that is

information. Synthetizing all these different sources of information

being applied in the management and conservat ion of species, nota-

into a single representation of the use an animal makes of a location

bly as a way of valuing the importance of specific areas to an animal

in the landscape cou ld provide novel insights into its use of space.

or a population (Wittemyer et al., 2019).

For example, considering how frequently and regula rly locations are

Although there are numerous ways to study animal movement,

revisited could help better understand how animals patrol and main-

most approaches can be grouped into broad categories that capture

tain their territories (Graf et al., 2016). A lternatively, considering res-

different aspects of the movement process. W ittemyer and co-authors

idency time, the number of revisits and the predictability of such

(2019) suggested that the existing plurality of approaches can be syn-

visits could directly impact encounters between a predator and prey

thesized into three main categories of movement analyses: intensity

(Bastille-Rousseau et al., 2011; Mitchell &amp; Lima, 2002).

of use properties (e.g. definition of core range), movement path char-

We developed a framework that characterizes the patterns in

acteristics (e.g. speed and directionality) and the structural properties

which an animal makes use of an area. In alignment with previous work

of movement (e.g. landscape connectivity). Approaches related to

(Bastille-Rousseau &amp; Wittemyer, 2021), this framework relies on esti-

intensity of use are the dominant analyses in the literature, perhaps

mating several metrics that describe the intensity of use of an animal

because they include approaches allowing estimation of home ranges

at a location in terms of total time, number of visits, mean duration,

and density isopleths (Kie et al., 2010; Powell &amp; Mitchell, 2012), res-

variat ion in duration, mean interval and variation in interval, and uses

idency t ime analysis (Bastille-Rousseau et al., 2011; Freitas, Kovacs,

machine learning to cluster that information to generate a landscape of

lms, et al., 2008) and the w ide family of approaches estimating habitat

use (i.e. a UseScape). We developed an R package named 'UseScape'

selection functions (Boyce et al., 2003; Fortin et al., 2005).

that extracts these metrics and then cl usters them using mixture mod-

However, approaches that focus on intensity of use typically focus

elling to create a spatial representation of how an animal uses the land-

on the total amount of time spent at a location (or the total number

scape. We first detail the workflow behind the UseScape package and

of relocations) w ithout considering how the resulting use pattern

then illustrate its applications using animal movement datasets from

emerges. For example, various foraging strategies and other move-

four taxa: elk, giant tortoise, coyote and white-tailed deer. Finally, we

ment behaviours can lead to the same overall intensity of use (Bastille-

highlight some of the insights gained from this approach for each study

Rousseau et al., 2010). An animal may stay in a patch until it is fully

system, as well as insights from cross-system comparisons.

depleted and not revisit this patch for the rest of the season, or it can
revisit the same patch frequently for shorter periods of time (Benhamou
&amp; Riotte-Lambert, 2012). In addition, an animal might also visit these

2

MATERIALS AND METHODS

patches on a regu lar basis or irregularly. Such behavioural differences
can have strong implications for animal ecology, including predator-

2.1

Generating the UseScape

prey interactions, disease transmission, optimal foraging strategies and
the potential ecosystem processes that an animal might influence.

Similarly to t he approach developed in Bastille-Rousseau and

Approaches that investigate single residency time or revisitation

Wittemyer (2021) and Bastille-Rousseau et al. (2018) and the

rates (also called recursive movement) have been developed and can

moveNT package (https://github.com/ BastilleRousseau/ moveNT),

�11 1

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BASTILLE-ROUSSEAU er AL

347

the first step of the workflow is to convert t he location dataset

the entering and exiting step length that is in that cell (for example,

into a movement trajectory (Figure 1a). The next step is to select

when one-third of an entering step length is within a cell, the entry

a cell size so that the trajectory can be overlaid on a movement

time is adjusted by one-third of the duration of that step prior to

grid. Selecting the cell size is a critical decision at the core of the

the first relocation w ithin t hat cell). Once the timing history is ex-

UseScape workflow and has the potent ial t o impact the insights

tracted for each cell, several cell-level metrics can be calculated that

gained from UseScape and their interpretability. We propose three

summarize the type of use an animal is making of that cell. These

ways of select ing the cell size and illustrate in our example appli-

cell-level metrics include the tot al durat ion, the number of visits, the

cations of its use (Figure 1b). The first approach is to test various

average duration of each visit, the variation in the duration of each

cell sizes and extract the residency time t hat the animal spent in

visit (measured by the coefficient of variat ion of the duration of each

each cell. Like previous work on residency and first passage time

measure), the average interval between visits and the variation in

(Fauchald &amp; Tveraa, 2003), we suggest selecting the cell size that

the average interval between visits (again, measured by the coeffi-

maximizes the variance in residency time to dist inguish between

cient of variat ion). Each of these metrics can then be exported into a

encamped and exploratory movement s. The second approach is to

raster (or stack) format (Figure 1d) and displayed within R.

use the median step length of an animal estimated using relocation

The second step to generate UseScape is to synthesize these

data (Bastille-Rousseau et al., 2018). Lastly, when the above options

metrics into a single representation of how an animal uses each cell

provide cell size estimates that are below the GPS error, it might be

(Figure 1e). We used Gaussian mixture models (Duda &amp; Hart, 1973)

preferable to use a cell size equal to or larger than the GPS error.

to cluster cells based on the above metrics. Gaussian mixture models

Once the trajectory of the movement is overlaid on a grid

are a soft and unsupervised clustering approach where each point

(Figure 1c), the third step is to extract each time an animal enters

is given a probability of belonging t o a specific cluster. We based

and exits a cell (hereaf ter t he timing history) for each cell within a

our clustering on the mclust R package (Scrucca et al., 2016), which

grid. The entry and exit time are adjusted based on the proportion of

automatically compares different numbers of clusters and uses

(a) Convert GPS locations
to movement trajectory

(b) Determine pixel size
Met hod 1 • Variation in residency time

100

300

200

400

500

Pixel size
Method 2 - Median step length

(c) Overlay trajectory to grid
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FIGURE 1 Worfkow of the UseScape
approach. The workflow starts with (a)
converting GPS locations into movement
trajectory, (b) determining cell size based
on one of three approaches (variance in
residency time, median step lengths or
GPS error), (c) overlaying t rajectory to
grid, (d) extracting a variety of intensity
of use metrics based on number of visits
(frequency), t ime spent in a cell (total
duration, average duration, coefficient of
variation of duration [CV durat ion]), t ime
between visits of a cell (average interva l
and CV interval) and (e) clustering these
met rics using machine learning to produce
a synthetic representation of space use
(Figure modified from Bastille-Rousseau
et al., 2018).

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300

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(d) Metrics
Frequency

Total Duration

Avg. Duration

CV Duration

Avg. Interval

CV Interval

••••••
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(e) Machine learning

{Unsupervised classification)

Intensity of Use
Categorization

Legend
High Use
Regular Use
Rest/Stopover site
Excursion
Low use
System specific

■
■

■

■
■
■

�348 I

IliOIIM:/Mj,j,4i,j.1ffi@IHJ■ 141

BASTILLE-ROUSSEAU

ET Al.

BIC (Schwarz, 1978) to select their optimal number. Covariates are

Information). We chose these 2years because 2014 temperatures

centred and standardized before being clustered, but they can be

were generally average, while 2015 exhibited notable warm periods

re-transformed to ease biological interpretation. The UseScape

(National Oceanic and Atmospheric Ad ministration (NOAA), 20 22).

package provides a clustering f unction to cluster at the individual

Our third example compared the use of the two primary ap-

level and a function to synthesize at the population level, as pre-

proaches to select the cell size. We used GPS data from two coyotes

sented in Bastille-Rousseau and W ittemyer (2021). All functions and

(Canis latrans). These two individuals exhibited different movement

a vignette are available within the R UseScape package available on

strategies; one coyote was a resident with a home range of 10.2 km 2,

GitHub (https://github.com/ BastilleRousseau/UseScape).

and the other exhibited exploratory behaviour, taking long excursions outside its home range (45 km2) and then returning (Gorman
et al., 2023). Their collars w ere programmed wit h a 1.5-h GPS fix in-

2.2

Applications

terval during 2020 and 2021. The study site is in central Illinois, USA,
consisting of a patchwork of private properties, public land and small

We applied the approach to fou r different systems and performed

towns adjacent to a large reservoir. Most of t he land is used for row

slight variations in the analyses to highlight different features of the

crop corn and soybean agriculture interspersed with some forested

approach. Our fi rst example examined t he movement of a migra-

patches. We used the median step length and variation in residency

tory adult female Rocky Mountain Elk (Cervus canadensis) in western

time approaches to select cell size and selected the resolution that

Colorado, USA, to evaluate the association between different types

led to the most interpretable output for each individual.

of use and human activities. The locations were t aken every 2 h from

For our last application, we used resident species from the range

May 2019 to June 2021, capturing two complete round-trip migra-

to investigate the association between patterns of use and type of

tions. Most elk in this herd are mid-distance elevational migrants,

landcover. We used data from an adult female white-tailed deer

with 15 km and several 100 m of elevation separating their winter

(Odocoileus virginianus) tracked from January 2021 to January 2022

and summer ranges (Crews, 2023). Property development, outdoor

in the same study area as the two coyotes above. GPS locations were

recreation and human activity are expanding within the immediate

recorded with a fixed interval of 30min. Female white-tailed deer

vicinity of t his individual (Mao et al., 2013), and the w inter range

generally establish home ranges that overlap close to those of their

of this individual is located adjacent to a ski resort around 2300-

genetic relatives. To determine whether if landcover differed be-

2500m. The migratory corridor and summer range of t his elk were

tween the UseScape clusters, we calculated the proportion of cells

mainly within the Maroon Bells Snowmass wilderness, minimally im-

in each UseScape class that fell under forest, agricultural or urban

pacted by human activity, with elevations ranging from 2500 to over

cover, as def ined by the National Land Cover Database (NLCD).

3600 meters. For this application, w e used the median step length of

We determined whether the proportion of each landcover class

this individual as the cell resolution and focused our interpretation

differed in each UseScape cluster using a chi-square test (Garson

on a descriptive association of the different types of intensity of use

&amp; Moser, 1995). All animals handling followed best practice estab-

in relation to anthropogenic land use.
Our second example examined the definition of clusters in a longterm dataset. We used data from an adult female giant tortoise on

lished by the American Society of Mammologists and were approved
by SIU (IACUC 21-028 and 21-021), CPW (IACUC approval number
03-2020) and SUNY-ESF (IACUC approval number 121202).

Espanola Island in the Galapagos (Chelenoidis hoodensis). Since tortoises are largely immobile at night, the GPS units logged locations
hourly from 6:00 to 19:00 from December 2010 to December 2022.

3

RESULTS

Espanola Island is a relatively flat (maximum elevation 206 m) and
arid (annual ra infall 10- 600 mm; Gibbs et al., 2014) 60.5 km 2 island.

Applying the approach to the four species highlighted several similar

The island hosts a homogeneous distribution of herbaceous plants

types of use as well as species-specific clusters (Figure 2). The opti-

of the arid zone, but large, arboreal Opuntia cacti are found near the

mal number of clusters detected ranged from three to five, w ith the

central region of the island (Gibbs et al., 2014). C. hoodensis tends to

resident coyote being the only example with fewer than five clusters

be sedentary or nomadic (Bastille-Rousseau et al., 2017), especially

(Figure 5). All individuals had a high-use group and at least one low-

during the dry season when they rely on Opuntia cacti for shade

use group, and all species except the coyote also had a moderate-use

(Blake et al., 2021). During the rainy season, tortoises are less re-

group (Figure 2). These t hree clusters were generally differentiated

stricted to areas where shade is available and can wander for several

based on the total amount of time spent in them and how frequently

weeks to forage (Blake et al., 2021). Since the median step length

they were reviewed (Figures 3 - 6). For all individuals except deer,

was approximately 10 m and was below the GPS error for the device

this gradient in intensity of use was associated with a longer resi-

(Bastille-Rousseau, unpublished), we used a cell reso lution of 20m,

dence time in those areas. Giant tortoise, coyote and deer all had a

which corresponded roughly to the device error. To test for temporal

stopover or resting cluster that corresponds to areas with low over-

variation in intensity of use, we performed the analysis three times:

all use but with a longer residency time when visited compared to

once using a period of 10years (2011- 2021, Figure 4) and twice

low-use clusters. There were also species-specific clusters found in

using a period of 1 year (2014 and 2015, presented in Support ing

one or two species, such as high-use areas emerging from frequent

�BASTILLE-ROUSSEAU er AL

FIGURE 2 GPS locations and
landscape of use for each of the four
study species. Rocky Mountain Elk (Cervus
canadensis, '1' panels), Galapagos Giant
Tortoise (Chelenoidis hoodensis, ' 2' panels),
Coyote (Canis Jatrans, '3' panels) and
White-tailed Deer (Odocoi!eus virginianus,
'4' panels). 'A' panels show the raw GPS
points used as inputs for the UseScape
analysis. 'B' panels show t he raster
outputs w ith f ive of the six colour-coded
use classes. The system-specific cluster
category represents the type of use that
might differ across species.

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Raster Legend

revisits of short duration (elk), low-use emerging areas (incidental)

■ High use

■ Moderate use

■ Stopover or rest

■ System specific ■ Low use, infrequent ■ Low use, quick revisit

(µ = 629.27) and an extremely high total t ime spent there (µ = 2141 h).

frequently revisited (deer), passthrough areas (coyote and tortoise)

The moderate group had an intermediate number of visits (µ = 97.8)

or low-use areas quickly revisited (elk and coyote).

and was adjacent to the high-use areas. The first of the three low-

The elk analyses were carried out at a resolution of 93 m, cor-

use classes, 'passthrough', was characterized by a low average num-

respond ing to the median step length of our collared elk (Figure 3).

ber of visits (µ = 24.6) and a mean duration (µ = 2.73h), along with a

The analysis resulted in five distinct use classes. The first class repre-

moderate mean interval between visits compared to the higher-use

sented moderate use (µ = 6.47 visits,µ= 13.55 h total duration) with

classes (µ = 144.5 days). Passthrough cells surrounded areas w ith

long visit intervals (µ = 98.3days). These were areas with average-

high concentrations of moderate-use cells. The second low -use

but infrequent- use and were distributed primarily on the edges of

class, 'stopover', had a longer mean duration than passthrough cells

the winter range or adjacent to the core areas. The second class rep-

(µ = 3.58h), despite having a lower number of visits (µ = 10.5) and a

resented areas of low use that were quickly revisited and associated

longer mean interval (µ = 226.8days). The low-use group was differ-

with few visits(µ = 3.51 visits), above-average stays (µ = 2.43 h) and

entiated by a high mean interval (µ = 449.0days), a low tot al duration

very short visit intervals(µ = 7.44days). The third class represented

(µ = 11.64hours) and a small number of visits (11 = 4.33), indicating

low-use areas (µ = 3.57 visits, 11 = 7.39h total duration), with short

that these cells are the least frequently visited. Comparing the long-

stays (11 = 2.0h) and long visit intervals (11 = 168days). The fourth

term classification with annual classifications revealed changing

class represented high-use areas (µ= 18 .15 visits, µ=60.49h total

temporal patterns in the areas used annually and, by extension, how

duration), wit h long stays (µ=3 .69 h) and low to moderate visit inter-

a given area is classified (Supporting Information).

vals (µ = 42.8days). This class was found in the core area within the

We utilized different methods to determine the best resolution

w inter range, associated with high-quality undisturbed habitat. The

at which to cluster the two coyotes' movements. For the resident

fifth species-specific class was also a high-use category (11 = 12.23

coyote, we used the median step length (80 m). The graphical ap-

visits, µ = 21.08h total duration), but with very short stays(µ = 1.74h)

proach based on variation in residency time yielded a resolution

and moderate visit intervals(µ = 59.18days). This class was primarily

size that was too small for interpretability (18 m). For the explor-

present in the w inter range, and its distribution largely fol lowed that

atory coyote, we found that the graphical approach led to better

of anthropogenic or forested areas. Low use was the most common

resu lts with a cell size of 600m; the median step length (128ml

class, comprising -31% of all cells, closely followed by moderate use

yielded too small of a resolution (see Supporting Information).

at -28%. High use (disturbed), low use quick revisit and high-use

This indicates that the graphical approach to determining resolu-

classes were less frequent, making up - 19%, - 16% and -4% of total

tion may be more suitable for far-ranging individuals, while using

cells, respectively.

median step length may be a better alternative for individuals with

The analysis of the giant tortoise individual resu lted in five use

high home range fide lity (Supporting Information). Three clusters

classes, including high use, moderate use and three distinct low-use

w ere identified for the resident coyote and five for the explor-

groups (Figure 4). The high-use cells were clustered near the centre

atory coyote. The resident coyote presented only low-, moderate-

of the geographic area and characterized by a high number of visits

and high-use groups, which were most easily characterized by the

�BASTILLE-ROUSSEAU

350

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Low use
NV
TD

MD
CVD
Ml
CVI
Freq

3.57
7.39
2.00
53.99
168.05
119.21
31.5%

Low use,
Quick revisit
3.51

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8.35
2.43
52.28
7.44
96.21
15.9%

Moderate use

High use

6.47
13.55
2.06
63.47
98.33
144.83
28.2%

18.15
60.49
3.69
72.13
42.8
184.73
4.4%

High use,
Disturbed
12.23
21.08
1.74

68.21
59.18
59.18
19.9%

FIGURE 3 GPS locations and zoomed UseScape map of a Rocky Mountain elk. Left: The extent of our collared elk's re locations over
the tracking period, with the winter range in the north and the summer range in the south. A dashed blue box represents the extent shown
in the second panel, highlighting the winter range. Right: UseScape results on the winter range. Below: a matrix and legend showing the
UseScape outputs for each class. All reported metrics are at the cell level: NV is the number of visits, TD is t he total duration in hours, MD
is the mean duration in hours, CVD is the coefficient of variation of duration, Ml is the mean interval between visits in days and CVI is the
coefficient of variation of intervals between visits. Values most important in assisting with cluster differentiation are bolded. Freq is the
frequency (proportion) of each class as a percentage of all UseScape cells in the output.

total time spent in each area (µ = 2.8 h for low use, µ = 9.42 h for

characterized by a low number of visits (µ = 3.55), a mean dura-

moderate use and µ=33.24h for high use), representing different

tion of low to medium length average duration (µ = 3.08 h) and

levels of use around the home range. Low use was the most fre-

total duration visits (µ = 11.12 h) and low intervals between visits

quent (47%), while high use was the rarest (23%), but no cluster

(1, = 5.30 days). The low use quick revisit cluster was followed by a

was extremely rare. The first group of exploratory coyote clus-

traditional low-use cluster, and then a cluster consisting of areas

ter corresponded to a 'low use areas w ith quick revisit ' (Figure 5),

within the home ra nge that were used for travel, 'passthrough',

�1ii,&amp;!iiffidffii,i-ii#iii,iffi@H■

BASTILLE-ROUSSEAU er AL

FIGURE 4 UseScape output maps
for a fema le Galapagos giant tortoise
(Chelonoidis hoodensis) on Espanola Island.
UseScape is based on all data combined
(2010- 2022). Below the map is a matrix
containing the UseScape output s for each
class. All reported metrics are at the cell
level: NV is the number of visits, TD is the
total duration in hours, MD is the mean
duration in hours, CVD is the coefficient
of variation of duration, Ml is the mean
interval between visits in days and CVI
is the coefficient of variation of intervals
between visits. Values most important in
assisting with cluster differentiation are
bolded. Freq is t he frequency (proportion)
of each class as a percentage of all
UseScape cells in the output.

0

r--

11 1

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.--,
I

0
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r-M

.--,
I

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..

0

00
M

.--,
I

-

0

-89.685°

150

300 m

-89.68°
Pass
!Moderate usel
through

High use

NV

4 .33

10.50

24.60

97.80

629.27

TD

11.64

37.78

66.04

278.93

2,141.25

MD

2.70

3.58

2 .73

2.82

3.35

CVD

80.76

114.56

123.38

130.75

127.26

Ml

449.00

226.83

144.48

49.58

10.90

CVI

115.58

188.05

229.74

280.96

518.04

43%

19%

19%

14%

4%

Freq

which had high number of v isits (µ = 10.12) and high intervals

common clusters, containing approximately 60% of all combined

(µ = 15.06 days), but a low to moderate duration (µ = 2.19 h). The

cells, followed by stopover (18%), passthrough (14%) and high use

st opover sites used during the excursions were rarely visited

(10%).

(µ = 6.43) but had a longer duration for each visit(µ= 5.78 h). The

We used the median step length (36 m) to generate UseScape for

areas of high use were visited frequently(µ = 18.92) and for lon-

the white-tailed deer. Five clusters were found. Cells in the low-use

ger duration(µ = 5.8 h), resu lting in a long total time spent in these

class were visited rarely(µ = 3.54)and fora short duration (µ = 0.25 h).

areas (1, = 101 h). Low use and low use quick revisit were the most

An 'incidental use' cluster represented cells visited more frequently

�352

BASTILLE-ROUSSEAU

ET Al.

39 s1•N
400"N

Resident

Exploratory

39 SO' N

.

39.59.N

L

3?.9'N

•I

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39.8'N

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I'

39.58'N

•

I

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; . .: ~ .

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39.57 N

39.5S N

39.G'N •

0.0

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1.0

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■

l:~-1

..

..-...=

-

or,: n .r.21rn

J9.5'N

88.70-W

,._.....,

...'W

Low use,

Low use

Passthrough

4. 24
10.33
2.59
75.49
53.56
129.00
30%

10.13
22.73
2.19
69.78
15.06
186.27
14%

quick revisit

NV
TD

MD
CVD
Ml
CVI
Freq

3.46
2.82
0.80
74.53
35.87
94.33
47%

6.42
9.42
1.52
78.69
15.63
118 .84
30%

12.13
33.24
3.07
85.33
11.59
137.53
23%

NV
TD

MD
CVD
Ml
CVI
Freq

3.55
11.12
3.08
66.16
5.30
98.35
29%

6.43
34.78
5.78
83.98
14.22
140.54
18%

18.92
101.04
5.80
84.79
5.51
274.67
9%

FIGURE 5 UseScape output maps for the resident (left panel) and exploratory (right panel) coyotes. Corresponding tables located
beneath each map contain the output data for each cluster. The resident coyote output had only three clusters, while the exploratory
coyote output had five, ranging over a variety of movements. A zoomed representation of t he exploratory coyote core range is provided. All
reported metrics are at the cell level: NV is the number of visits, TD is the total duration in hours, MD is the mean duration in hours, CVD
is the coefficient of variation of duration, Ml is the mean interval between visits in days and CVI is the coefficient of variation of intervals
between visits. Values most important in assisting w ith cluster differentiation are balded. Freq is the frequency (proportion) of each class as
a percentage of all UseScape cells in the output.

(µ = 8.01) for a similar average duration (µ = 0.30h). Stopover cells

without much consideration of how these patterns emerged (Bastille-

were less common than most other classes (10%), and while deer

Rousseau et al., 2010). W e developed a novel analytical framework

only visited this group a few times on average(µ = 5.377), each visit

that specifically characterizes how use arises at a location and al-

lasted longer (µ = 0.65 h). Moderate-use cells were the most common

lows clustering of locations with similar types of use. In doing so,

(30%) and were visited an intermediate number of times (1• = 15.61)

our framework highlights areas that dif fer in how animals are using

for an average amount of time (1, = 0.46). These areas were found

them, contrasting heavily used locations that emerge because they

near and around the centre of home range use and the core use area.

are frequented for long durations versus locations that are repeat-

The deer visited high-use cells the most frequently (µ=31.90) and

edly and regularly visited for shorter durations of time. Applying the

for a longer duration (µ = 0.65h). High-use cells were also common

fra mework to individuals from four different taxa highlighted similar

(30%) and mostly found in the core of the home range; however,

types of use but also identified species-specific clusters. This com-

some high-use cells were found throughout the home range. The

parison between species illustrated that there are more subtleties

proportion of points in each type of land cover differed according to

in how animals use a location than the total t ime they spend there.

the UseScape cluster (?= 168.16, p &lt; 0.01). All classes were located

Overall, our framework has broad applications in how we study ani-

most frequently in forest cover and least frequently in urban cover.

mal space use and is directly applicable across a variety of systems.

However, t his deer was particularly unlikely to make stopovers in
urban cover.

Testing the framework w ith various taxa highlighted t he unique
features of each system. In the case of Rocky Mountain Elk, our
approach distinguished between two types of heavily used areas:
one that emerges because of long visits and one that emerges be-

4

DIS CUS SIO N

cause of visits of short duration. These two types of use could
have ended up being lumped together w ith traditional approaches

Although intensity of use has been one of the most studied prop-

(but see Bastille-Rousseau et al., 2010; Brads et al., 2018; Riotte-

erties of animal movement (Wittemyer et al., 2019), studies have

Lambert et al., 2013). Likewise, habitat selection functions often

generally focused on the overall use an animal makes of a location

consider attributes associated with both types of use as selected

�1ii,&amp;!iiffidffii,i-ii#iii,iffi@H■

BASTILLE-ROUSSEAU er AL

11 1

353

J'l"34N

J9033'30'N

J9033'N

Moderate High
Use
Use
Urban
Ag

Forest

2.82
70.42
26.76

8.72
24.16
67.11

0.50
28.86
70.65

7.4
17.99
74.55

8.64
18.27
73.09

19.28
MD
CVD

Ml
CVI

Freq

882.12
89.39
14 %

15 o/c

0.65

0.63

86.12
477.00

78.49 82.20
236.06 137.36
174.98 196.81
30%
30%

10%

FIGURE 6 UseScape output for white-tailed deer plotted against landcover classification. The top left shows the deer GPS locations
overlaid on a resource layer categorized as forest (green), urban (red), agriculture (yellow) or water (blue). The top right shows the UseScape
output. We determined the proportion of cells in each cluster located in each of three landcover types (urban, agriculture and forest).
The bottom left table shows the percentage of points in each cluster belonging to each landcover type. The bottom right table shows the
UseScape output values for each class type and each variable. All reported metrics are at the cell level: NV is the number of visits, TD
is the total duration in hours, MD is the mean duration in hours, CVD is the coefficient of variation of duration, M l is the mean interval
between visits in hours and CVI is the coefficient of variation of intervals between visits. Values most important in assisting with cluster
differentiation are bolded. Freq is the frequency (percentage) of each cluster of all cells in the output.

without providing context regarding the behaviour behind this

in the area. The separation of two different high-use categories

selection (Bastille-Rousseau et al., 2010). The high use of devel-

may suggest differences in the resources provided in these areas,

oped areas is more intuitive when given context regarding the be-

resu lt ing in differing behaviours. For example, the presence and

haviour of the elk in those locations. Elk have been shown to alter

abundance of ponds that occupy a portion of this individual's win-

their space use in human-modified landscapes and may display

ter range may help explain frequent visitation with short stays,

increased movement speed in more intensely developed areas, re-

as they could serve as a re liable source of water. In addition, the

ducing their use and selection for areas like the development pres-

presence of a highway along the southern end of the range ap-

ent in the western port ion of the winter range (Webb et al., 2011).

peared spat ially associated with the disturbed high-use cluster

However, when available, elk often make use of agricultural or

and may contribute to the short duration of visits associated with

less developed areas in the presence of additional resources (e.g.

this cluster.

forage) and demonstrate selection for water sources within their

While the elk example highlighted different types of heavily

home range (Barker et al., 2019; Brook, 2010). This elk appeared to

used areas, the giant tortoise and coyote examples showcased dif-

alternate its use between a forested area in the south of its winter

ferent types of low-use areas. The giant tortoise had three types

range and a large ranch separated by a sizable highway, with most

of low-use areas: (1) low-use areas w ith rare short-duration v is-

high-use clusters concentrated in this area. This ranch may act as

its ('low use'), (2) low-use areas with rare visits but with a lon-

a refuge from the more intense human activity and development

ger stop ('stopover') and (3) low-use areas with more frequent

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BASTILLE-ROUSSEAU

ET Al.

but short visits ('passthrough'). The high-use and moderat e-use

types, but they can still differ in how they use these cover types

clusters were easily distinguished from th e three low-use clus-

(Hewitt, 2011). In such a scenario, naive habitat selection function

ters by the steep increase in t he overall number of v isits and total

analyses focusing on spatial covariates, such as landcover, might not

duration spent in those cells. The use of space for giant seden-

show patterns in the selection of specific landcover but ignore the

tary tortoises on arid islands such as Espanola is strongly shaped

functional role of landcover.

by the need to remain near Opuntia cactus for food and shade

We considered six metrics in our cluster definitions. For indi-

(Gibbs et al., 2008), which could explain the extreme use of high-

viduals from the four species considered, the clusters were more

use pixels despite their overall low frequency (4%). However, our

easily defined by a subsample of these metrics. Clusters were gen-

resu lts highlighted that (at least for this one individual) there is

erally defined by the number of visits, the total duration and the

also some structure in the rarer movement away from th e cactus.

average duration of those visits, while the elk, giant tortoise and

We also noted that the tortoise data span more than a decade,

exploratory coyote classifications also featured the average dura-

and thus there may be nuance to how habitat is used temporally.

tion of th e intervals between visits. Interestingly, our two met rics

For example, throughout the study period, Oceanic Nio Indices

on variation in duration of visits and variation in interval between

have exhibited both warm and cool episodes (National Oceanic

visits were not as informative for the selected species. Although

and Atmospheric Administration (NOAA), 2022), and the climatic

these results are not surprising, we expect these two metrics to be

conditions of the Galapagos archipelago are particularly sensitive

particularly useful for highlighting specific clusters in other spe-

to these fluctuations (Wang &amp; Fiedler, 2006). Figure 51 in the

cies. For example, territorial animals might need to revisit specific

Supporting Information shows the resu lts of single-year analyses

locations on a regular and constant basis for scent marking or other

in 2014 and 2015 and showed how habitat use and tortoise move-

activities related to territory maintenance (Giuggioli et al., 2011).

ment are not uniform over time. More work would need to be done

Beavers are known for their propensity to repeatedly revisit and

to directly link the variation in local climatic conditions w ith tor-

refresh territorial markers, which serve as deterrents to neighbour-

toise movement on Espanola Island.

ing conspecifics (Rosell &amp; Thomsen, 2006). In such a case, the vari-

Similar to the giant tortoise, the exploratory coyote also had two

ation in the interval between visits would be low. Relatedly, some

infrequently visited clusters: low use and stopover, which differed in

patches of habitat could only be used for very specific functions

total duration and average duration. A third type (the passthrough

such as resting or f eeding and might therefore be used for a consis-

cluster) was revisited so much (around 10 t imes) that it became

tent period of time, result ing in small variation in duration (Bakner

moderately used (more t han 20h of total t ime spent on average).

et al., 2022; Bista et al., 2022).

Interestingly, the resident coyote clusters were much simpler (low-,

One key consideration when applying our framework regards

moderate- and high-use areas). The simple delineation of three res-

the size of the cell to use. We proposed three approaches to select

ident coyote clusters, in contrast w ith the greater variet y in the five

the cell size, but our cross-species applications highlight that resu lts

exploratory coyote clusters, highlights the variat ion in space use

might be sensitive to the cell size used. We found that using the

we were able to categorize between different individual movement

variance in residency time approach versus the median step length

strategies within a single species. Although it is often assumed that

can provide fundamentally different estimates of pixel size, often

resident coyotes exhibit more acute movement patterns than ex-

ranging by an order of magnitude in difference. In our application

ploratory or transient coyotes (Webster et al., 2022), our results, al-

with coyote (Figure 5 and in Supporting Information), we found that

though with a sample size of two, highlight t hat exploratory coyotes

each approach highlights dif ferent types of clusters and might be

can also display complex movement patterns.

better suited for specific questions. The variance in residency time

Our analysis using the white-tailed deer data highlighted the typ-

approach seems to provide a larger cell size than the median step

ical gradient of intensity of use (low, moderate and high) with addi-

length and seems especially useful for an animal displaying large-

t ional types of low-use clusters (incidental and stopover). Although

scale movement outside of a core range. This approach provides

all clusters were t he most common in forest cover, some clusters

more interpretable clusters in the exploratory coyote example. On

occurred less frequently in some types of land cover. Given that

the other hand, the median step length was better at highlighting

intensity of use is directly related to habitat selection behaviour

variation in use within a core area. It created a more intuitive out-

(Freitas, Kovacs, lms, et al., 2008), differences in the proportion of

put for the resident coyote. The third approach based on GPS error

landcover t ypes in each cluster appeared to be less associated with

should be used when the median step length is less than the es-

intensity of use t han w ith the role of the landscape. Specifically,

t imated GPS error. To summarize, we suggest that the variance in

deer showed relatively consistent but low use of urban cover other

residency time approach be used when the interest is in understand-

than for stopovers that were nearly never located near roads. Since

ing variation in intensity of use at a larger scale, while one of the

urban cover often represented roads in the study area, it is unlikely

other approaches should be used when examining w ithin-core area

that they would opportunistically stop while moving through these

patterns. lastly, alternative approaches could also be considered.

areas. Across the clusters, the proportion of cells in each cover t ype

One approach, inspired by Alavi et al. (2022), uses autocorrelation in

was similar to the proportion of t hat cover type in the study area.

the velocity of movement data to determine an optimal grid size for

Deer are habitat generalists that may not avoid any of these cover

identifying independent directional changes in animal movement.

�1ii,&amp;!iiffidffii,i-ii#iii,iffi@H■

BASTILLE- ROUSSEAU er AL

11 1

355

Although we kept the application of our approach simple, several

assistance with collaring white-tailed deer and coyote. Fredy

extensions are possible. First, w e only performed the analyses on sep-

Cabrera for assistance with tagging the giant tortoise and retrieving

arate individuals, but it is also possible to synthesize clustering from

the data. The Galapagos National Park Directorate (GNPD) and the

mult iple individuals into population-level results. Bastille-Rousseau

Charles Darwin Foundation (CDF) provided critical technical, logis-

&amp; W ittemyer (2021) proposed a two-step clustering process t o pro-

tical, administrative and political support. Coyote and white-tailed

vide those inferences. This f unctionality is already integrated into the

deer movement data were supported through an IDNR-Wildlife

UseScape package. The deer analysis also offers a simple example of

Restoration Act grant #W87R44 and #W87R45. Elk movement data

how clustering can be combined w ith additional analyses to evalu-

were supported by a United States Fish and Wildlife Service Federal

ate how the landscape might influence different types of use. More

Aid Research Grant, Colorado Parks and Wildlife (CPW) Game Cash

complex analyses could be performed, for example, by using multi-

Funds, auction and raffle grants administered by CPW, t he Rocky

nomial regressions to evaluate how different landscape features are

Mountain Elk Foundation and Pitkin County Open Space and Trails.

more likely to be associated w ith specific clusters. Such a regression

Giant tortoises' movement data were supported by the National

framework can also allow for proper consideration of spatial autocor-

Science Foundation (DEB 1258062), the Max Planck Institute

relation Bastille-Rousseau &amp; Wittemyer (2021). Similarly, association

for Ornithology (Radolfzell, Germany), the National Geographic

analysis to evaluate how conspecifics might overlap in space can be

Society Committee for Research and Exploration, the Galapagos

highly informative. For example, understanding whether the areas of

Conservation Trust, the Institute for Conservation Medicine of the

high use of some individuals overlap with the areas of high use of

Saint Louis Zoo, the Woodspring Trust and the Swiss Friends of

other individuals is key to understanding many aspects of a species'

Galapagos. NTG, AMW and ME were supported by IDNR-Wildlife

biology, as it can provide information on intraspecific interactions

Restoration Act grants #W87R44 and W87R45, STC through the

such as territoriality (Giuggioli &amp; Kenkre, 2014) as well as the poten-

SIU Klimstra fe llowship, JBP and EBD through the SIU startup Fund,

tial for disease spread (Dougherty et al., 2018). Likewise, new insights

HM and M L through IDNR-Wildlife Restoration Act #W135R22

into interspecific competition and predator- prey interactions could

and #W13R23 and EA through IDNR-Wildlife Restoration grant

be gained by expanding the approach to compare overlap in the type

W213R1.

of use between multiple species.
We developed a new analytical framework to characterize the
mechanisms that lead to the intensity of use of a location by an an-

CONFLICT OF I NTEREST STATEMENT

None to declare.

imal or animals. Our multi-system comparison highlighted how this
straightforward framework can provide novel insights that would

PEER RE V IEW

not have been possible with currently available approaches. By

The peer review history for this article is available at https://www.

making the framework available as an R package, these analyses can

webofscience.com/ api/gateway/ wos/ peer-review/ 10.1111/ 2041-

be directly applied to numerous systems where location data are

210X.14274.

available. Movement ecology as a field can strongly benefit from approaches that not just describe patterns in space use, but also high-

DATA AVA ILABILITY STATEM ENT

light the movement mechanisms leading to these emerging patterns.

A R package and vignette containing and explaining all f unctions

These mechanisms are often critical to better understand a variety

developed here are available at https://github.com/ BastilleRous-

of ecological processes, such as intra- and inter-specific interactions

seau/ UseScape, and the first release of the R package is archived

(competition and predation), social interactions, disease spread and

in a Zenodo Digital Repository at https://zenodo.org/doi/ 10.5281/

ecosystem functions.

zenodo.10277762 (Bastille-Rousseau et al., 2024).

AUTHOR CONTRI BUTIONS

ETHICS APPROVAL AND CONSENT TO PART I CI PATE

G. Bastille-Rousseau, E. M. Audia, S. A. Crews, E. B. Donovan, M.

All animals handling followed best practice established by the

E. Egan, N. T. Gorman, M. R. Larreur, H. Manninen, J. B. Pitman and

American Society of Mammologists and were approved by SIU

A. M. Weber developed the original idea and structure of the manu-

(IACUC 21-028 and 21-021), CPW (IACUC approval number 03-

script. G. Bastille-Rousseau developed the original functions with

2020) and SUNY-ESF (IACUC approval number 121202).

assistance from J. B. Pitman and S. A. Crews; E. B. Donovan, M . E.
Egan and N. T. Gorman analysed each species. G. Bastille-Rousseau,

O RCID

M. Eichholz, S. Blake, E. Bergman and N. D. Rayl secured fund ing for

G. Bastille-Rousseau $ https://orcid.org/ 0000-0001-6799-639X

animal tracking. G. Bastille-Rousseau led the writing of the manu-

M. E. Egan $ https:// orcid.org/ 0000-0002-9952-5602

script, with input from all co-authors.

M. W. Eichholz $ https://orcid.org/ 0000-0003-4592-8809

A C KN O W LE DG EM ENTS

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11 1

different periods of time. UseScape is based on all data combined
(2010- 2022, panel A) and two single years of data, 2014 (panel B)
and 2015, a warmer than usual year (panel C). Below each panel
is a matrix containing the UseScape outputs for each class. All
reported metrics are at the cell level: NV is the number of visits,
TD is the total durat ion in hours, MD is the mean duration in
hours, CVD is the coefficient of variation of duration, M l is the
mean interval between visits in days and CVI is the coefficient
of variation of intervals between visits. Freq is the frequency
(proportion) of each class as a decimal percentage of all UseScape
cells in the output. Many of the lower-use class cells are not visited
annually. One explanation for the variation in habitat use could be
changes in prevailing climatic conditions. If local conditions were
warmer overall in 2015 than in 2014, as suggested by data from
the National Oceanic and Atmospheric Administration (NOAA,
2022), this could help explain the dramatic increase in movement
in 2015 to seek food and shade. However, we have not directly
linked the movements of tortoises on Espanola Island to variation
in prevailing climatic conditions.
Figure S2. UseScape output map for the resident coyote at a

resolution of 18 m based on the graphical approach based on
variation in residency time. The corresponding table contains the
output data for each cluster. This resolution was too small for the
map to be easily interpreted, and with only two clusters, the cluster
characteristics did not reflect any other category found in the
outputs of the main text.
Figure S3. UseScape output map for the exploratory coyote

at a resolution of 128 m based on the median step length. The
corresponding table contains the output data for each cluster. This
resolution was too small for the map to be easily interpreted, and the
passthrough cluster was lost at this resolution.

How to cite t his article: Bastille-Rousseau, G., Crews, S. A.,

Donovan, E. B., Egan, M. E., Gorman, N. T., Pitman, J. B.,
Weber, A. M., Audia, E. M., Larreur, M. R., Manninen, H., Blake,
S., Eichholz, M. W., Bergman, E., &amp; Rayl, N. D. (2024). A

SUPPORTI N G IN FORM ATION

Additional supporting information can be found online in the
Supporting Information section at the end of this article.
Figure Sl. UseScape output maps for a female Galapagos giant

tortoise (Chelonoidis hoodensis) on Espanola Island across three

357

multi-property assessment of intensity of use provides a
functional understanding of animal movement. Methods in
Ecology and Evolution, 15, 345- 357. https://doi.
org/ 10.1111/ 2041-210X.14274

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&lt;li&gt;The intensity of use of a location is one of the most studied properties of animal movement, yet movement analyses generally focus on the overall use of a location without much consideration of how patterns in intensity of use emerge. Extracting properties related to intensity of use, such as the number of visits, the average and variation in time spent and the average and variation in time between visits, could help provide a more mechanistic understanding of how animals use landscape. Combining and synthesizing these properties into a single spatial representation could inform the role that a location plays for an animal.&lt;/li&gt;&#13;
&lt;li&gt;We developed an R package named ‘UseScape’ that allows the extraction of these metrics and then clustered them using mixture modelling to create a spatial representation of the type of use an animal makes of the landscape. We illustrate applications of the approach using datasets of animal movement from four taxa and highlight species-specific and cross-species insights.&lt;/li&gt;&#13;
&lt;li&gt;Our framework highlights properties that functionally differ in how animals use them, contrasting, for example, heavily used locations that emerge because they are frequented for long durations, locations that are repeatedly and regularly visited for shorter durations of time or locations visited irregularly. We found that species generally had similar types of use, such as typical low, mid and high use, but there were also species-specific clusters that would have been ignored when only focusing on the overall intensity of use.&lt;/li&gt;&#13;
&lt;li&gt;Our multi-system comparison highlighted how the framework provided novel insights that would not have been directly obtainable by currently available approaches. By making the framework available as an R package, these analyses can be easily applicable to a myriad of systems where relocation data are available. Movement ecology as a field can strongly benefit from approaches that not just describe patterns in space use, but also highlight the behavioural mechanisms leading to these emerging patterns.&lt;/li&gt;&#13;
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              <text>Bastille‐Rousseau, G., S. Crews, E. Donovan, M. Egan, N. Gorman, J. Pitman, A. Weber, E. Audia, M. Larreur, and H. Manninen. 2024. A multi‐property assessment of intensity of use provides a functional understanding of animal movement. Methods in Ecology and Evolution 15:345-357.</text>
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