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Introduction
Numerous animal behavior studies have examined environmental
influences upon behavior. This research has included the
influence of resource availability on grouping patterns,
(e.g., Wrangham 1980; Johnson et al. 2002), resource
availability on behavior (e.g., Crocket & Janson 2000;
Archie et al. 2006), and population density upon behavior
(e.g., Judge & de Waal 1997; Benson et al. 2006). However,
with a few notable exceptions (Altmann 1979; Rhine &
Westlund 1981; Robinson 1981; Janson 1990), very little
animal research, particularly that with primates, has
attempted to systematically examine spatial context in
social behavioral analyses. This lack with primates is
particularly noteworthy given their abilities to discern,
distinguish, and differentiate between microhabitats
(Gonzalez-Kirchner 1999), personal space (Ihobe 1989), and
spatial relations (Wilson 1972; Bowe 1984). Here, we use
Geographic Information Systems (GIS) technology and
inferential spatial statistics to explore the spatial
dimensions of animal social behavior using a captive baboon
group as our subjects. We, thus, simultaneously examine the
applicability of these methods in animal social behavior
research and address a gap in the primate behavior
literature.
Specifically, we examine lactating female baboons’ space use
using an integrated GIS and spatial statistical approach.
Lactating females were chosen as subjects because the data
were collected as part of a larger study of baboon infant
development (see Bentley-Condit 2003). Examining space
utilization with a captive population living as a large
group in a large enclosure (see Methods) offers the
advantages/caveats of 1) a circumscribed area amenable to
detailed mapping, 2) no predation, 3) reliable resources,
and 4) ample social interaction opportunities. Although
this captive group’s habitat removes several of the
environmental factors that influence an individual’s use of
space, it presents itself as a unique opportunity for
assessing the applicability of GIS technology.
GIS offers several
advantages over traditional methods of spatial analysis and
provides a robust approach to animal behavioral data
exploration as it has the ability to store, manipulate, and
display data linked to locations (Longley et al. 1999). It
is being used extensively by geographers, geologists, and
archaeologists and is beginning to enter the realms of
biologists and animal behaviorists (e.g., Wieczorek & Hanson
1997; Ganskopp et al. 2000; Beauplet et al. 2004). However
GIS use in animal behavior studies has been limited,
primarily focused on mapping habitats, calculating home
ranges, and examining resource distribution, and is often
linked with Global Positioning System (GPS) technology
(e.g., Campbell & Wentz 1993; Zinner & Torkler 1996; Formica
et al. 2004; Scholz & Kappeler 2004; Karavas et al. 2005).
Nevertheless, with GIS one can conceivably examine any
behavior(s) or interaction(s) by sex, age, status and other
factors as they occur in space in ways that were previously
impossible. It allows more accurate pinpointing of
behaviors and more powerful statistical analysis of the
spatial context of behavioral data – particularly those data
that violate the assumptions underlying traditional
statistics.
GIS resolves problems encountered using non-spatial
techniques as it reveals the presence of spatial effects and
measures the extent to which data values in close proximity
vary together. As with non-normally distributed data, the
presence of spatial effects in data produce biased and
overly precise results from common statistical tests such as
correlation coefficients and standard regression. This
problem is alleviated through the use of inferential spatial
statistics. An integrated GIS/spatial statistical approach
stands to reveal previously unseen or vague patterns such
as: 1) an individual animal’s “personal” space, 2) the
spatial dimension of particular activities by an individual,
and 3) the interaction between an individuals’ personal
characteristics and her use of space. We anticipate that
GIS-based spatial statistical behavioral studies will become
more common as the process of data collection and processing
is streamlined through the use of hand-held computers to
record both map and behavioral data.
1A) As part of this
selective use of space, individuals’ ranks should influence
their behaviors’ spatial context as it is well established
that dominance rank affects behavior among many animals
(e.g., Schino 2001; Vervaecke et al. 2005; Arakawa 2006).
Due to priority of access to resources related to high rank,
high-ranking females should have greater access to, and be
able to restrict others’ access to, “preferred” areas of the
habitat. Thus, we predict there will be a correlation
between females’ ranks and their behaviors’ spatial context.
1B) Similarly, individuals’
ages are predicted to affect the spatial context of their
behavior. That age also affects behaviors is well
established (e.g., Baker 2000; Reader & Laland 2001;
Pelletier & Festa-Bianchet 2004). Whether age, within the
age-category of adult, is specifically correlated with the
spatial aspect of behavior has yet to be investigated.
However, it stands to reason that age might affect how or
where a given female performs a given behavior in space.
Therefore, we predict that the spatial context of young vs.
middle aged vs. older females’ behavior will vary.
2) Finally, although
baboons may transport their food (in hands or cheek-pouches)
before consuming it, there should be an obvious spatial
context of ingestion in this group with most occurring in
areas near food hoppers, all located in Zone A of the
habitat (see Fig. 1). Rest, social, and infant behaviors
are predicted to be correlated with Zone B (see Fig. 1). It
is this zone that contains most of the wooden and metal
climbers and concrete culverts available to the population
and captive primates generally prefer to orient themselves
near objects (Menzel 1967). Therefore, we predict that
these behaviors should be associated with objects of
orientation; travel should occur throughout the corral and
not be space-specific.
Methods
Study Site, Subjects, and Data Collection
The first author collected
data for this project at the Southwest Foundation for
Biomedical Research in San Antonio, TX during the final two
months of a six-month study of infant development in 2001.
The subjects are a subset of the olive baboon (Papio
anubis) breeding population at this site, housed in a
large corral (»2.4
hectares; Fig. 1). Shade and protection from inclement
weather are provided by the angled corral walls and by
apparatuses located primarily in Zone B (see below). The
population was established in 1979 (Goodwin & Coelho 1982)
and there are currently 500+ individuals in the corral
(population density
»20,600
per km2). Females have very few direct
matrilineal kin ( =1.66)
with whom to associate due to infant culling. With unknown
paternity, the exact role of kinship cannot be assessed.
Eight food hoppers and five
water spigots are located at uneven intervals around the
periphery of the corral (Fig. 1). The baboons receive a
basic regime of LabDiet® occasionally supplemented by fruits
and vegetables and have ad libitum access to water.
LabDiet® is provided twice daily with a heavier feeding in
the a.m. (≈ 0700 hours) and a lighter feeding in the p.m.
(≈1600 hours). Food is thus available in particular
locations at particular, and for relatively limited, times.
The entire group cannot feed at any one hopper and the food
at each hopper is depleted within a couple of hours.
Consequently, although predictable temporally and in terms
of size, the resources/food in this environment are
spatially and temporally clumped.

Figure 1.
The Corral and its Features.
In addition to the
individual continuous focal observations (Altmann 1974)
collected as part of the previously mentioned infant
development study, space/map data were collected on a subset
of 25 lactating females from late-September through
late-November 2001. The first author worked inside the
corral on foot and collected data once per day between
approximately 0645 hours and 1500 hours, 6 days per week
(Monday-Saturday). Observations of each female were
scheduled so that all 2-hour blocks of time (i.e.,
0700-0900, 0900-1100, etc.) were approximately equally
represented (see Bentley-Condit 2003) to avoid observational
biases.
Those females (n=8)
near the end of their observation cycles (i.e., with less
than 20 remaining observations) when the space project began
were later rejected due to insufficient representative data
leaving a sample of 17 females – each with ≥21
maps/observations ( =35
per female). For these 17 lactating females (n=10
with ♂ infants, n=7 with ♀ infants) on which the
following analyses are based, there are 593 mapped 20-minute
focal observations (»200 observation hrs; n=255
with infants
£1mo
age; n=338 with infants 1-2mo age). Included in this
sample are 5 high-ranking, 6 mid-ranking, and 6 low-ranking
females. Their age classifications are 6 “young”, 7 “middle
age”, and 4 “old”. See below for dominance and age group
protocols.
During the continuous
individual focal, all of the female’s movements, point
locations, routes followed, and times were mapped via pen
and paper on a corral drawing each time she moved. The
corral has 12 numbered sides – much like a large pie with 12
“slices” (Fig. 1). The corral space was divided into three
zones for mapping. Zone A, an outer ring extending inward
from the walls for
»15m,
contains all food, water, and windows but very little else.
Zone B, extending inward from the first for another
»25m,
is where most climbers and concrete culverts are located.
Zone C, a central ring extending another
»40m
to the center point of the corral, contains little but has a
popular, slightly elevated rocky area and some logs. Each
corral “slice” was thus divided into these three zones for a
total of 36 areas (i.e., 1A, 1B, 1C, …12C) within which a
female could be mapped at numerous points and at any time.
The maps were subsequently digitized into a GIS database
where a digitized blueprint of the corral with its features
had been used to establish exact coordinates. Though not
available to the researcher during data collection, as
mentioned previously, a hand-held computer would
substantially streamline this process and allow for even
higher data analysis resolution. The maps, combined with
their associated behavioral focal data, provide information
on precisely where individuals were located (i.e., points
within zones within “slices”), length of time there,
behaviors while there, and with whom they interacted and,
thus, allow us to assess spatial utilization and behaviors’
spatial distributions.
To facilitate analyses, the
behavioral data were collapsed into five broad categories:
rest, feed, travel, social, and infant. The first four
categories are self-explanatory and generally used in animal
time-budget studies and the fifth category, infant (i.e.,
mother’s interactions with her infant), was added due to the
focus of the overall project being infant development. (The
time budget subsequently established for these females’ is:
rest=52.12%, travel=18.37%, feed=14.13%, social=8.8%,
infant=6.59%.)
Females’ ranks were determined based upon their interactions
with all other females following the methodology of
Bramblett (1981) and subsequently grouped into high, middle,
or low rank at naturally occurring breaks in the dominance
matrix. Females were similarly grouped by their ages into
three age categories [young (range=5-9yrs), middle
(range=11-14yrs), and old (range=16-18yrs)] where natural
breaks occurred between the groups. Each dominance rank
group contained members from each of the three age ranges;
likewise, each age range had females representing all three
dominance rank groups.
GIS Inferential Statistics
As the GIS statistical data
analyses are somewhat complex, a detailed description
follows. However, GIS is currently integrating these
techniques into easier to use packages. We initially
investigated the raw spatial data using descriptive
statistics that indicated asymmetrical distributions for all
variables. The data were logged to yield a closer
approximation to normality (Dowdy & Wearden 1985). With the
outline and features of the corral defining the context
(Fig. 1), our initial mapping of “all data points”, “all
data points by individual”, and “all data points by behavior
by individual” revealed a general distribution of data
points with local areas of high and low densities (Fig. 2A).
We explored several ways to facilitate comparisons between
behaviors and individuals including using the 36 polygonal
zones to create choropleth maps (see Fig. 2B and Fig. 2C)
where the data were normalized to account for the different
spatial area sizes of the corral zones.

To reduce subjectivity in the analysis of locational data,
we used several types of spatial statistics. Nearest
neighbor analysis (NNA) characterizes the degree of
clustering or dispersion of point locations in a region
(Kaluzny et al. 1998) and produces a global statistic
(range= 0-2; 0=perfect clustering, 1=randomness, 2=perfect
dispersion) with a significance test that indexes the degree
of clustering/dispersion. However, NNA does not account for
variation in time at each location so we also utilized
spatial autocorrelation.
Spatial autocorrelation is the lack of independence between
elements in a spatial dataset (Kaluzny et al. 1998) and
provides a means for assessing the degree of clustering in
the time spent at particular points in the corral. A
positive spatial autocorrelation indicates females spend
longer periods of time at points in particular zones; a
negative spatial autocorrelation indicates the times females
occupy points in particular zones are dissimilar. We
normalized the autocorrelation data to account for the
different sized areas represented by the corral zones and
utilized Moran's I and Geary's C statistics for assessment
(Anselin 1995).
As the assessment of our predictions depends on comparisons
between variables, we used kernel density estimation methods
to compare pairs of point distributions with attached
continuous variables (Kie et al. 1996). Kernel density
estimation is a nonparametric statistical method for
estimating probability densities where points can have
attached continuous values or weights. It has been
incorporated into some animal home range studies (Worton
1987; Taulman & Seaman 2000) and has larger values in areas
with more observations and lower values in areas with few.
It describes the probability of finding an individual in any
one place. The two-dimensional kernel density estimator is
in the following general form where
denote
the data and denote
the bivariate smoothing parameters (Bowman & Azzalini
1997:6-7).

The most useful output from kernel density estimation is a
two by three matrix of kernel density probability with 75%
contour lines (Fig. 2A) that delimits where the individual
can be expected to be found 75% of the time while engaged in
that activity. Seventy-five percent contours were a
meaningful compromise between 50%, which represented too
small an area, and 95%, which represented too large of an
area to be informative.
Finally, we implemented a bivariate comparison between
paired kernel density estimates using a bootstrap hypothesis
test of equality to test the significance of the
correlations between pairs of individuals or behaviors
(Efron & Tibshirani 1998). To compare two density estimates
( and
)
using a significance test we used the following equation
(see Bowman & Azzalini, 1997:108 for details):
The textual output contained the smoothing parameter and the
p-value of the test; the graphical output, a 2x2 matrix of
maps, provided a comparison between data sets (Fig. 3) and
can be presented as contours (Fig. 3D). The hypotheses of
the bootstrap hypothesis test of equality were:

The density surface of the interaction between individuals
was based on the following equation which represents the
standardized difference between the two individuals’ kernel
density estimates divided by the bivariate variance (see
Bowman & Azzalini 1997:1114-115).

In tandem, the matrix of maps
described above highlights particular characteristics of
behaviors’ spatial dimensions.

Results
Per Prediction 1, across
behaviors, each individual consistently uses a subset of the
corral area. NNA results indicate moderate clustering for
all behaviors combined and particular behaviors
independently for all of the focal females except female
9599 (Clark & Evans NNA “all behaviors/all females”: = 0.79,
Z=17.51, P£0.0001;
Clark & Evans NNA “all behaviors/ Female 9599=0.99, Z=0.15,
P=0.43) with the highest level of clustering present
in feeding (Clark & Evans NNA “feeding/all females”: =0.59,
Z=18.61, P£0.0001).
Thus, individual females “cluster” their behavior in
particular areas – feeding here, resting there, etc.
Moran’s I and Geary’s C indicate that each female has a low
to moderate level of positive spatial autocorrelation for
total time and by particular behaviors (again with the
exception of Female 9599), i.e., longer periods of time at
points in particular areas (Moran’s I “all females/all
behaviors”=0.437, Z=6.282, P≤0.0001; Geary’s C “all
females/all behaviors”=0.519, Z=-6.445, P≤0.0001).
Finally, the comparison of kernel density estimates between
areas indicates that the space consistently used by each
female is different from that used by other females with
only eight of the possible 136 different pairings of females
revealing overlapping kernel density estimates and a P>0.05.
Per Prediction 1A, there are consistent differences in the
use of space by the focal females according to their ranks.
Kernel density estimates indicate that space used by the
high, mid, and low-ranking females for all behaviors is
consistently different and all bootstrap tests are highly
significant (bootstrap pair-wise comparisons: High to mid =
0.00000000000153, P≤0.0001; High to
low=0.00000000000232, P≤0.0001; Mid to
low=0.000000000003242, P≤0.0001). This pattern can
be seen in Figures 3C and 3D comparing high to low-ranking
focal females. High-ranking females consistently use areas
to the left (north and west) while low-ranking females
consistently use areas to the right (south and east). Not
shown is that mid-ranking females are primarily found in the
area between the positive and negative second standard
deviations of the high and low-ranking females (i.e., in the
middle of
the north and west and extending slightly into the south and
east). Thus, not only do females reliably use a subset of
the available space but the locations of those areas vary by
their ranks.
Per Prediction 1B, focal females’ use of space also varies
by age group. Kernel density comparisons indicate the space
used by the three age groups (young, middle, old) for all
behaviors differ significantly (bootstrap pair-wise
comparisons: Young to middle=5.04, P£0.0001;
Young to old=3.87, P£0.0001;
Middle to old=4.73, P£0.0001).
Similarly, comparisons for each individual behavioral
category, with the exception of feeding for young and old
females, were significantly different (bootstrap pair-wise
comparisons: P£0.001; Young to old
“feeding”=1.43, P=0.144). This pattern can be seen
in Figures 4C and 4D comparing middle to old aged focal
females. The middle age females are using areas to the
north (upper left) while the old females are using areas to
the south (lower left and right). The young females use
areas more to the east (far right), primarily between the
positive and negative second standard deviations shown in
Figure 4D. Given the size of our sample, we compared the
rank group and age group kernel density results for
independence. Seven of the nine bootstrap pair-wise
comparisons show the two distributions to be drawn from
different populations (e.g., Young Age/Low
Rank=0.00000000000112, P=0.001; Middle Age/High
Rank=0.00000000000146, P£0.0001).
However, there is distribution overlap between Middle
Age/Low Rank (bootstrap pair-wise
comparison=0.0000000000009, P=0.117) and between Old
Age/High Rank (bootstrap pair-wise
comparison=0.00000000000054, P=.283). These data
indicate less variation between females by age group than
between females by rank, i.e., there is more spatial overlap
between differently aged females than there is between
differently ranked females.

Per Prediction 2, there is a correlation between feeding and
the locations of the food hoppers. Feeding by all sampled
females occurs in four small areas that are closely
associated with six of the eight food hoppers. Two hoppers,
6A and the first hopper at 8A, were not often utilized. The
second part of Prediction 2 is partially supported. While
the distributions of rest, social, and infant behaviors do
include the enriched Zone B, they are not evenly distributed
throughout (Fig. 2A, 75% kernel density estimate contours)
and are associated with the preferred Zone A food hoppers.
The north-south central axis of the corral and Zone C are
the least used areas; the western half of the corral is the
most commonly used for all behaviors (Fig. 2A). As shown
above, all females consistently use these broad areas but
each female exploits a unique smaller space within the broad
areas (see Prediction 1).
Finally, it is important to
understanding the spatial dimension of these subjects’
behaviors to note two basic behavioral patterns. First,
while there is a relatively high rate of female-female
agonism (i.e., agonistic events per female per observation
hour: X±SD=2.12 ± 0.849, N=444), the rate of
agonistic events received by the focal females is low
(i.e., agonistic events received per female per hour: X±SD=
0.664 ± 0.651, N=132). Second, females engage in
affiliative events at a higher rate (affiliative events per
female per hour: X±SD=3.287 ± 2.268, N=613)
and affiliative events occur at a significantly higher rate
per hour than do agonistic events received (t test:
t32=4.57, P<0.01).
The spatial context of behavioral patterns can be seen in
how individuals in this group use different areas. The data
demonstrate the statistical tendencies of area use by both
female and behavior. As behaviors necessarily occur in a
spatial context, use of space is an important, yet often
ignored, dimension of behavior. Given the high population
density of this group and the lack of matrilineal support
networks, females should attempt to focus their behaviors
spatially such that they can meet their basic needs,
minimize contact and potential altercations with those
females with whom they do not have affiliative relationships
and promote access to those with whom they do. The patterns
seen in the behavioral data of affiliative events occurring
at a significantly higher rate than do agonistic events
received appear to support this interpretation.
The spatial dimension of behavior is affected by both a
female’s age and rank. In this group, rank appears to have
a stronger influence than age. Just how particular areas
come to be established as preferred by the rank groups is
likely due to history/tradition (Wilson 1972). Given that
the corral could be divided in numerous ways and females’
requirements still met, that high-ranking females use the
north-west quadrant and low ranking the south-east is, in
this habitat, environmentally arbitrary. However, among
other animal populations, similar spatial dominion could
have an impact on survival and/or reproduction. While
numerous studies of primate behavior have commented upon the
abilities of higher ranked individuals to influence others’
access to resources, our research indicates that it may now
be time to pay closer attention to the spatial dimension of
individual’s and categories of individuals’ behaviors.
The behaviors performed by the subject females occurred in
relatively circumscribed areas of the corral. Ingesting was
the most spatially limited behavior – surprisingly focused
in four relatively small areas of the corral. All other
behaviors are correlated with the areas of Zone B that are
contiguous with the preferred feeding sites in Zone A. As
shown in Figure 2A, the focal females’ behaviors are not
randomly distributed in space. Rather, there is a
statistically predictable pattern to the spatial
distribution of behaviors – by female, by the female’s rank
and age category, and by the behaviors themselves.
Finally, our research may offer some implications regarding
how the spatial distribution of behavior can impact
inter-individual relationships. Females in this group lack
extended matrilines. Instead, they cluster with like-ranked
females and engage in social interactions at a level similar
to that observed in wild populations between closer kin.
Females in this group appear to be making the best of a
less-than-ideal situation through their spatial
arrangement. The implications of these data are that how
and with whom one interacts may be strongly influenced by
relative spatial arrangements – whether in circumscribed
areas or in the wild. These ideas deserve further
examination.
In sum, these data tell us that we need to examine, and look
for patterns in, not only what our subject animals do
but also where they do what they do. A systematic
inclusion of the spatial dimension variable could ultimately
lead us to a broader understanding of animal social behavior
and social organization. Although currently somewhat
labor-intensive, it is the use of GIS technology and the
associated inferential spatial statistics that made the
above detailed spatial context analyses possible and that
will allow us to rigorously examine these issues in other
populations. GIS thus stands poised to explicate the
previously under-represented spatial dimension of animal
behavioral research.
Acknowledgements
This project was funded by grants from the Committee on
Faculty Support at Grinnell College to VB-C and a Mellon
Post-Doctoral grant to TH. VB-C is grateful to the SFBR for
their permission to conduct behavioral research inside their
breeding corral and for their continued support of her
research. Special thanks to Linda Brent, Thomas Butler,
Bill Cummins, Scott Chambers, and other current/past members
of the Department of Laboratory Animal Medicine and to
Thomas Moore, Grinnell College, for reading a draft of this
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