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  <front>
    <journal-meta>
      <journal-title-group>
        <journal-title>Spatial Knowledge and Information Canada</journal-title>
      </journal-title-group>
    </journal-meta>
    <article-meta>
      <title-group>
        <article-title>Examining the Relationship Between Spatial and Social Proximity in First Nation Food Sharing</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>ANA-MARIA BODGAN</string-name>
          <xref ref-type="aff" rid="aff2">2</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>MENG LI</string-name>
          <xref ref-type="aff" rid="aff3">3</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>DAVID NATCHER</string-name>
          <email>david.natcher@usask.ca</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>ABIGAEL RICE</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>RONG SHEN</string-name>
          <xref ref-type="aff" rid="aff3">3</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>WEIPING ZENG</string-name>
          <xref ref-type="aff" rid="aff3">3</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>JASON DISANO</string-name>
          <xref ref-type="aff" rid="aff2">2</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>SCOTT BELL</string-name>
          <email>scott.bell@usask.ca</email>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Agricultural and Resource Economics</institution>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>Geography and Planning</institution>
        </aff>
        <aff id="aff2">
          <label>2</label>
          <institution>Social Sciences Research Laboratories</institution>
        </aff>
        <aff id="aff3">
          <label>3</label>
          <institution>The Spatial Initiative</institution>
        </aff>
      </contrib-group>
      <pub-date>
        <year>2019</year>
      </pub-date>
      <volume>7</volume>
      <issue>5</issue>
      <abstract>
        <p>This study links social network analysis (SNA) with GIS in the examination of First Nation food sharing. Introducing spatial information into conventional SNA offers new perspectives and facilitates a better understanding of network data. Multiple GIS visualizations were used to complement the understanding of the network's multiple dimensions. Spatial statistics were carried out to test key hypotheses about the relationship between spatial proximity and social proximity in the food-sharing network. Results show both distance and kinship are important variables in explaining food sharing patterns.</p>
      </abstract>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Introduction</title>
      <p>
        Within the social sciences literature,
numerous studies examined the role spatial
proximity plays on social tie formation. This
research found that people are more likely
to be friends if they are geographically close
        <xref ref-type="bibr" rid="ref2 ref3 ref8">(Festinger et al., 1950; Feld and Carter, 1998;
Mouw and Entwisle, 2006)</xref>
        , whereas those
who live further from a community “core”
tend to be socially isolated
        <xref ref-type="bibr" rid="ref3">(Festinger et al.,
1950)</xref>
        . The physical location of one’s place of
residence further increases the likelihood of
strong social tie formation with others in
close proximity
        <xref ref-type="bibr" rid="ref1">(Coombs 1973)</xref>
        and
diminishes as spatial distances increase
        <xref ref-type="bibr" rid="ref5">(Hare,
1973; Latané et al., 1995)</xref>
        .
      </p>
      <p>
        <xref ref-type="bibr" rid="ref10">Verdery et al. (2012)</xref>
        examined the
relationship between kinship and spatial proximity.
They used spatially referenced kinship
networks and found a positive correlation
between closeness of kin and households
spatial proximity, attributed to close kin
cohabitation.
      </p>
      <p>Most studies use spatial proximity as the
main factor contributing to tie formation.
Verderey et al. (2012) draw attention to the
fact that in the case of kinship networks, the
closeness of relationships between family
members also influences where members of
these communities decide to live.</p>
      <p>Social Network Analysis (SNA) is widely
used to answer questions related to
individuals’ patterns of interaction, cohesion, social
influence, and proximity. However, it is not
spatially explicit. Mapping spatially
referenced social interactions and activities
allows us to uncover spatial patterns,
associations, and ask new questions of network
data (Logan, 2012). This motivated the current
study. Specifically this study set out to
examine the spatial parameters that influence
food sharing between members of the
Saulteau First Nations (SFN).</p>
      <p>
        The SFN is located in northeast British
Columbia. The population of SFN is 380, living
in 125 on-reserve households
        <xref ref-type="bibr" rid="ref9">(Statistics
Canada, 2016)</xref>
        . SFN economy is a mixed
economy, which includes wage earning and
wildlife harvesting activities.
      </p>
      <p>Within the SFN community, sharing
harvested wild foods is prominent. Food
sharing serves numerous functions, including
the alleviation of household food
insecurities, continuance of a cultural tradition, and
social cohesion. In general, the SFN
maintains strong family bonds. Kin continue to
depend on each other for their social and
economic wellbeing.</p>
      <p>What requires more attention is the
relationship between social ties and physical
proximity. In this research, we measured
physical proximity using the Euclidean
distance, which was used to explore its
relationship with social proximity (i.e.
kin/nonkin, nuclear/distant kin) by answering the
following:
1. Do kin live closer1 to each other than
non-kin?
2. Do nuclear family members live closer
than extended kin does?
3. Within kin, is there an association
between living close to one another and
food sharing?
4. Are households located further from the
community’s core less engaged in food
sharing?
5. Do households located further from the
community’s core receive less food?
6. Are households located closer to the
community core2 engaging in more food
sharing?
The first part of our analysis involves
visualizing the network data. This elucidated the
spatial distribution of SFN’s local and
regional food sharing. In the second part of
this paper, we focus on testing multiple
hypotheses related to spatial and social
proximity.
1 In this study, the term “close(r)”means physical
proximity
2 Community “core” defined as the geographic center
of the community.</p>
    </sec>
    <sec id="sec-2">
      <title>2. Methods and Data</title>
      <p>
        2.1 Data
Data used in this study comes from a larger
research project focused on the Assessment
of First Nations Environmental Livelihoods
in Northeast British Columbia
        <xref ref-type="bibr" rid="ref7">(Lu et. al.,
2019)</xref>
        .
      </p>
      <p>Household surveys conducted in the SFN
were used to assess how environmental
change might affect their harvest and
subsequent food sharing. The first part of the
survey focused on wildlife harvesting and
the second part of the questionnaire
collected data on food sharing. Responses were
compiled into several spreadsheets for
analysis. Due to lack of spatial information for
13 households, 154 out of the 179 food
exchange records were used in the final
analysis.</p>
      <p>A modified 10x10 km grid map of the T8TA
territory was developed with GIS. This
allows us to visualize the concentration of
resource harvesting, in terms of household
land use, food weight, by species, travel
distance, and ecological values including land
cover and habitat fragmentation.</p>
      <p>Households’ locations came in PDF format
from Peace River Regional District (dated
September 30th, 2014) showing land surface
features as well as the location of 167
recognized households on Moberly Lake.
Household locations were georeferenced and
extracted. Certain households were not located
because (1) the reference layer was outdated;
or, (2) survey data collection errors.</p>
      <p>Locations of regional communities were
determined using Google’s geolocator service
followed by manual revisions for quality
control. There were in total 77 households
involved in the final analysis.</p>
      <p>To ensure the integrity of the network
dataset and account for unknown or missing
the label “unknown location” was used.
However, with missing data, there is less
certainty over the reliability of findings,
which is an important limitation to
recognize. In the future development of this
research we plan to incorporate various
imputation techniques, already established in the
SNA domain, to mitigate against missing
data related errors.
2.2 Software
1. Python and R were used in this study to
process the original data for the initial
exploratory analysis and preparation for
subsequent analysis.
2. UCINET was used for statistical testing
and SNA descriptive statistics. Sociograms
were created with NetDraw.
3. ArcGIS was used in this project to
manage geodatabases as well as data
manipulation, visualization and spatial analysis.
4. Interactive web-based SNA sociograms
were programed as custom single page web
applications. The backend was powered by
Apache and PHP. HTML, JavaScript and
CSS were used for the front-end
development.</p>
      <sec id="sec-2-1">
        <title>2.3 Methods</title>
        <sec id="sec-2-1-1">
          <title>2.3.1 Overall methodology</title>
          <p>The workflow started with social data
collection through a structured survey (Figure 1).
Surveys were cleaned and processed before
analysis. Analysis was done in three steps.
1. Conventional SNA, which helped to
explore the dataset through visualization and
performing non-spatial statistics as well as
hypotheses testing.
2. Visualization and spatial analysis using
desktop GIS and WebGIS that facilitate
exploratory analysis, interpretation and
prepare distances for investigating of SFN’s
food sharing network.
3. Based on the spatial data and findings
from the previous two steps, testing
hypotheses on the interaction of spatial proximity
and social proximity.</p>
        </sec>
        <sec id="sec-2-1-2">
          <title>2.3.2 Survey data reformatting</title>
          <p>A structured survey was conducted. Original
paper results were scanned into PDF format
from correspondents in SFN; some
responses were handwritten. A spreadsheet
template was used to manually transcribe each
survey, resulting in 150 individual
spreadsheets for all households in SFN. Custom
Python and R scripts were developed to
reformat these spreadsheets into formats
suitable for data visualization and analysis.</p>
        </sec>
        <sec id="sec-2-1-3">
          <title>2.3.3 Data visualization</title>
          <p>Several visualizations were used to explore
the food sharing network dataset. A
sociogram is an effective way of visualizing social
network data. It depicts relationships
among specific groups, with the aim of
discovering underlying relationships (Figure 2).
A desktop SNA software and web-based
solutions were used to prepare the
sociograms3. The latter was specifically designed
to streamline the procedure from raw data
3 The term sociogram only partially depicts what
these diagrams are. We are considering using an
alternative term – sociomap, to better label these
figures.
to final presentation and dissemination to
stakeholders.</p>
          <p>Conventional sociograms are not spatially
explicit. Desktop GIS and WebGIS were
used to process data for various geographic
visualizations. However, visualizing social
network data presents unique challenges,
including multiple scales (e.g. regional and
household), multiple dimensions (e.g.
different food categories), directions of ties (e.g.
giving and receiving in food sharing),
multiple weights of nodes and ties, as well as
overlapping ties that interfere with each
other and impede visualization. A
custombuilt online solution was developed.</p>
        </sec>
      </sec>
      <sec id="sec-2-2">
        <title>2.4 Data analysis</title>
        <p>To determine the role of spatial proximity in
SFN’s food sharing network, student-t test
was conducted to compare the food sharing
(measured by food quantity, mean
Euclidean distance) categorized by kinship type.
Permutation based t-tests and other SNA
descriptive statistics were conducted in
UCINET.</p>
        <p>To measure spatial autocorrelation we used
both Moran’s I and Geary’s C. Moran's I
ranges from +1 - strong positive spatial
autocorrelation, to -1 - strong negative spatial
autocorrelation, with 0 indicating a random
pattern. For Geary’s C, a value of 1 denotes
no association, less than 1 a negative
autocorrelation, whereas a value greater than 1
denotes positive autocorrelation.</p>
        <p>
          Households’ activity levels within the
foodsharing network were measured using
indegree centrality scores in order to assess
how much they received. Out-degree
centrality scores were calculated to assess how
much a household shared with others. The
number of vertices4 adjacent to a given
vertex in a symmetric graph is the degree of
that vertex, also referred to as Freeman
degree centrality. In a directed or
nonsymmetrical graph, we further distinguish
4 Households are the graphs’ vertices, and
foodsharing interactions are ties.
between in-degrees and out-degrees
          <xref ref-type="bibr" rid="ref4">(Freeman, 1979)</xref>
          .
        </p>
      </sec>
    </sec>
    <sec id="sec-3">
      <title>3. Results</title>
      <sec id="sec-3-1">
        <title>3.1 Integration of SNA and desktop GIS</title>
        <p>The main objective of this study is to bridge
SNA and GIS to reveal hidden patterns.
Such link could be easily implemented
through the loose coupling of SNA and GIS
via a thematic map. Figure 2 shows how the
sociogram was usually rendered inside SNA
software. In this case, the food-sharing
network inside SFN is visualized at the
household level. At the regional level, with all
communities’ locations defined, a GIS can
display a thematic map, or a geographic
sociogram (Figure 3). Moreover, the previous
household-scale sociogram is embedded to
offer a complete view of the food-sharing
network for SFN.</p>
      </sec>
      <sec id="sec-3-2">
        <title>3.2 Web-based geographic sociogram</title>
        <p>Though sociograms could be made using
desktop software, web-based visualizations
were also investigated. Moreover,
webbased visualizations offer interactive
features that cannot be achieved through a
loose coupling of desktop SNA and GIS.
To understand the pressure of harvesting
activities on the landscape, a grid-based web
sociogram was created (Figure 6 and 7).
This web application offers a graph view and
a map view. The graph view displays the
food-sharing network for any chosen
resource category. It also differentiates
households by their selected roles. The map
view links the social network to the
landscape. As a result, the researcher can trace
the food extracted within a 10x10km2 grid
and how it was shared within the social
network.</p>
      </sec>
      <sec id="sec-3-3">
        <title>3.3 Statistical Analysis</title>
        <p>3.3.1 Social Proximity vs. Spatial Proximity
One of the main objectives of this paper is to
understand if there is a statistically
significant difference attributable to physical
distances between kin and non-kin households,
and between nuclear and extended kin.
Results show that within the SFN community,
family members live closer to one another
than non-kin. However, this difference is
not statistically significant.
When compared to members of the
extended family, members of the nuclear family
live closer together. This difference was not
statistically significant either.
We were interested in whether kin that live
close to one another share more food. We
calculated Geary and Moran’s I statistics to
answer the question. Results show a weak
negative tendency between degree centrality
and distance to kin (G=1.43, p=0.1;
MI=0.24, p=0.08), however this autocorrelation
holds at p=0.1. In other words, there seems
to be a tendency for kin who live close to one
another to exchange more, if we accept a
pvalue of 0.1. Furthermore, given that this
result was obtained using an incomplete
kinship dataset, further research is required
to consolidate this finding.</p>
        <p>When we look at the entire dataset,
irrespective of whether households exchanging
food are related, households living close to
each other tend to share more food (G=2.08,
p=0.01). This should be interpreted with
caution, since we restricted our
foodsharing network to exchanges taking place
only within the SFN community.
3.3.2 Social Engagement vs. Spatial
Proximity
Similar analysis was performed to answer
the remaining three questions. In the
following section, distances represent the
distance of households from the community’s
geographic center (‘core’).</p>
        <p>Are households located further from
the community’s core less engaged in
food sharing?
Levels of engagement in the food-sharing
network were measured using Freeman’s
Degree Centrality scores. Households with
at least four connections were considered
highly engaged in the food-sharing network.
Results show that less engaged households
live, on average, closer to the community’s
geographic core. However, there was no
statistical difference (p = 0.49). This result
needs to be further refined – spatial
clustering in the data means that there are multiple
community foci.
Do households located further from
the community’s core receive less
food?
In-degree centrality scores quantify the total
number of incoming ties for each household.
In the SFN food-sharing network, this score
represents the number of times a household
received food. Based on these scores, we
created a dummy variable for high receivers
and low receivers (receiving food above or
below three times). Results show that
households receiving less food are located,
on average, closer to the community’s core
when compared to high receivers. This
difference was not statistically significant
(p=0.79).
Do households located in the core of
the community give more food?
Households located closer to the core of the
community are not giving a lot of food to
other community members. On the contrary,
households giving more food were located
slightly further from the core, when
compared to non-high givers (out-degree
centrality &lt; 3). However, the difference in mean
distance from the core between these two
groups was not statistically significant (p =
0.97).</p>
      </sec>
    </sec>
    <sec id="sec-4">
      <title>4. Conclusion</title>
      <p>High
Givers</p>
      <p>Non-High</p>
      <p>Givers
By incorporating spatial information into
social network analysis, this study
investigated visualization options and discussed
the contribution of spatial variables within
the social network.</p>
      <p>Spatially explicit statistics were used to test
key hypotheses about the role of spatial
proximity and social proximity in the local
food-sharing network. Both geographic
distances and kinship are important variables
in explaining food-sharing patterns.
Further research is essential, especially in
the context of kinship networks where social
proximity can reinforce spatial proximity
and vice versa. Moreover, impacts of
different measures of spatial distances need to be
evaluated.</p>
      <p>Furthermore, this line of inquiry needs
further advancement, by building on
anthropological and social studies realized within the
context of Canadian indigenous
communities.</p>
    </sec>
    <sec id="sec-5">
      <title>Acknowledgements</title>
      <p>The British Columbia Ministry of Forests, Lands
and Natural Resource Operations provided
funding for this research. We are grateful to them for
their support as well as for the support and
collaboration of the SFN. The authors are thankful
to The Spatial Initiative and the Social Network
Lab for their commitment in this project.</p>
    </sec>
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