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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Place-based GIS: Functional Space</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Emmanuel Papadakis</string-name>
          <email>emmanouil.papadakis@stud.sbg.ac.at</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Thomas Blaschke</string-name>
          <email>thomas.blaschke@sbg.ac.at</email>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Dept. of Geoinformatics - Z_GIS, University of Salzburg</institution>
          ,
          <addr-line>Schillerstraße 30, Salzburg</addr-line>
          ,
          <country country="AT">Austria</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>Dept. of Geoinformatics - Z_GIS, University of Salzburg</institution>
          ,
          <addr-line>Schillerstraße 30, Salzburg</addr-line>
          ,
          <country country="AT">Austria</country>
        </aff>
      </contrib-group>
      <pub-date>
        <year>2016</year>
      </pub-date>
      <fpage>14</fpage>
      <lpage>17</lpage>
      <abstract>
        <p>Place-based GIS allow digital systems to provide a human-centred representation of the geographic world, by complementing traditional spatial representations with the notion of human meaning. An emerging question of such an integration and hence digitization is the level of formalization and generalization that the human meaning can undergo, along with the pragmatic value of associating informal and vague constructs with the formal and precise environment of a Geographic Information System. We propose a function-based model of place, which depicts place as a space ascribed with functionality. The model treats place as a topological graph of spatial entities that enables a set of functions, which in return define functional spaces. Furthermore, utilizing the idea of functional space we suggest a practical application of a Place-based GIS, such as function-based search of space, that is demonstrated using the example of a shopping area. Future research includes the extension of the model by associating place with purposes and emotions, automated generation of composition patterns of place and extraction of function-based data.</p>
      </abstract>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>-</title>
      <p>
        A geographic information system (abbr. GIS) represents
geographic information utilizing various forms of data
structures. From “a puzzle of polygons to a sandwich of data
layers” [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ], every method creates a formal, objective and
precise [
        <xref ref-type="bibr" rid="ref5">5</xref>
        ] view of the geographic world, known as
mathematical space [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ] or just space. On the other hand,
geographical space as it is perceived by humans refers to the
intuitive, unanalyzed and unarticulated spatial understanding
[
        <xref ref-type="bibr" rid="ref1">1</xref>
        ]. Driven by the perception, humans refer to space as an
informal, subjective, vague and structure-less view of the
world, known as experiential space [
        <xref ref-type="bibr" rid="ref5">5</xref>
        ], or simply place. The
place-based GIS is an attempt to bridge these two extreme
views of the geographic world. It attempts to incorporate the
human perception of the geographical world within digital
systems enabling the formalization and association of place
with the mathematical space.
      </p>
      <p>This integration forces researchers to focus on the essential
difference between space and place. It stems from the intuitive
mental ability of creating symbols by ascribing meaning to the
physical constructs. With respect to our discussion about
space, humans create symbols, which are the places, to assign
context to space. The main research question that emerges
focuses on the limitations of formalizing the context of space.
Particularly, which parts of the human context ascribed to
space facilitate generalization and allow formalization;
furthermore, what is the pragmatic value of such an
integration within GIS, in terms of practical applications and
solutions. This work proposes a multidimensional definition
of place as functional space and suggests a pragmatic
application that utilize the gradual transition from human
context to pure spatial representations displayable in GIS
platforms.</p>
      <p>
        The rest of this document is organized as follows. The next
section introduces the leading definitions of place and
continues with a brief literature review of the existing
methods that associate space with place. Afterwards, a
definition of place is given that is derived from the theory of
the Object of Discourse [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ] followed by a demonstrating
example. Finally, we provide some concluding remarks along
with potential directions of future work.
2
      </p>
    </sec>
    <sec id="sec-2">
      <title>Background – Related work</title>
      <p>
        The academic definition of the concept of place is a research
problem that has puzzled scientists for many years. Relph [
        <xref ref-type="bibr" rid="ref9">9</xref>
        ]
construes place as a unique pattern of physical features,
appearances, activities and functions. Its unique quality is the
power to focus on human intentions, experiences and actions
in the spatial dimension. Curry [
        <xref ref-type="bibr" rid="ref4">4</xref>
        ] describes place as a notion
free of natural boundaries. More specifically, space existed
long before people were there, whereas place is a location
shaped and formed by the human mind. Consequently, places
are human inventions to describe space. Tuan [
        <xref ref-type="bibr" rid="ref11">11</xref>
        ] plausibly
claimed that “place is space infused with human meaning”.
      </p>
      <p>Since human meaning is broad, purely subjective and
disruptively vague, any attempt of formalizing it, should be
compliant to reasonable abstractions. These facilitate the
distinction of indicators that outline the human meaning from
those that are not worthy of modelling and determine whether
inter-subjectivity can be applied. Adhering to such
abstractions facilitates the declarative formalization of
meaning. This simplified version of meaning is referred to as
context of space and affords semantics representation.</p>
      <p>
        There are two notable directions when conceptualizing and
formalizing place: either infusing spatial representations with
semantics or projecting semantics on space. A leading
approach of augmenting space with semantics is the
objectification of space [
        <xref ref-type="bibr" rid="ref10">10</xref>
        ]. According to this, spatial
structures are converted into sophisticated objects with
ascribed properties, attributing a context to them.
      </p>
      <p>
        In the opposite way, digital gazetteers [
        <xref ref-type="bibr" rid="ref5">5</xref>
        ] offer a linkage
between place names and semantics to spatiotemporal
footprints. This approach is usually extended with semantic
enrichment resulting to ontology-based gazetteers or
ontologies equipped with properties that lead to spatial
descriptions. For instance, CIDOC CRM is an upper level
ontology that defines place as a qualitative spatial description
of semantic-driven entities, such as events. A place entity is
identified by a representative place name and provides the
intermediate (human-friendly) node between events and their
spatial projection. Finally, the affordance-based model of
place [
        <xref ref-type="bibr" rid="ref6">6</xref>
        ] focuses on annotating space with context derived
from people’s actions. Particularly, space, expressed as a set
of affordances, is imbued with meaning expressing the ability
to serve human intentionality on achieving a final goal.
      </p>
      <p>Most of the aforementioned methods do not fully utilize the
expressive power of place. The first three methods associate
space with simple semantics, in the sense of properties, which
does not always reflect the given human context. On the other
hand, the affordance-based model sufficiently approximates
the context of place. However, affordances are
perceptioncentric and provide limited and individual-driven knowledge.
This limits the model's capabilities on defining whether space
affords a final goal, which, in turn, impedes the model’s
operationalization.
3</p>
    </sec>
    <sec id="sec-3">
      <title>Methodology – Demonstration</title>
      <p>The objective of this work is to propose a model that
facilitates an adequate conceptualization of place, which
allows its representation using a rigid, digital alphabet. This
consequently allows the integration of place into GIS
platforms. Considering the complexity of the problem, the
initial research question is analysed into several
coarsegrained challenges. Before listing and addressing the
individual challenges, a brief introduction of the theory about
the object of discourse is provided, which is the basis of the
proposed approach.</p>
      <p>
        An object of discourse is “whatever people can talk about
regardless of its nature” [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ]. Since place is a product of human
thinking, it can be rightfully considered as an object of
discourse. Hence, a place is described by four levels of
semantic resolution, inherited by the definition of the object of
discourse, as follows. A place serves one or more purposes.
These purposes are supported by the functions the place
provides. A composition, in the sense of spatial organization,
enables the aforementioned functions and finally, the
composition pattern introduces a set of properties that realize
the place under consideration.
      </p>
      <p>The most crucial challenge when it comes to place
modelling is the conceptualization of the spatial context.
Inspired by the argument that place is an object of discourse,
we address this by assuming place is space that offers
particular functionality. This allows a more sophisticated and
formalizable view of the spatial context that goes beyond
simple properties, such as names or attributes. In addition,
functions allow operationalization by facilitating objectivity.
They provide an inter-subjective understanding on how places
operate as a system, rather than following affordances-driven
questions such as how the place can be interacted with, which
entails individual spatial perception. It is worth noting that
functionality expresses only a subset of spatial contexts.
Places can be more complicated when they are related to
emotions, experiences and so on. For that reason, we list the
following assumptions: the proposed model represents only
places that exist in the real world, are marked by human
intervention and are designed for certain goals.</p>
      <p>The next challenge that arises is the encapsulation of the
context of place (that is, functionality) in a system of entities
that affords realization and spatial representation. This is
addressed by following the principles of the object of
discourse based on which, functions are enabled by a
particular spatial organization. Our approach follows this idea
by introducing the composition of place. More specifically,
composition suggests a network-based view of place. Every
vertex is considered as an entity, denoted as component, and
every edge resembles possible associations between
components. The components depict physical entities with
ascribed properties and rules that offer a generalized
description of their potential geometry. The components are
associated with spatial relations revealing a possible topology.
This topology implies a spatial organization that enables the
functions of the modelled place to be offered.</p>
      <p>The final challenge that needs to be addressed is the
projection of place on space. This can be addressed by
utilizing the dual nature of the composition of place that was
described above. With respect to the object of discourse, the
level of properties realizes a composition by assigning values
and creating a tangible representation of the individual object
on space. Particularly, the composition of a place is regarded
as a blueprint. This includes descriptions of required and
optional components along with their topological rules that
enable the functions, which form the context of the place
under consideration. Since the components are equipped with
their geometrical descriptions, they can be populated with real
data and spatial objects. As long as these components are
spatially organized based on the composition rules, it is then
possible to assign the initial context on space and hence
project the place itself on space.</p>
      <p>Considering all the above, we propose a multi-faceted
definition of place incorporating the dimensions of spatial
properties, composition and functions. The dimension of
spatial properties describes place as a semantically enriched
spatial object with ascribed properties and geometry-related
information. The dimension of composition describes place as
a system in the sense of a topology network. This
graphoriented representation resembles the spatial organization of
the components that constitute a place. Finally, the dimension
of functions provides a sense of context by depicting the set of
operations that a place can offer.</p>
      <p>
        For the proposed model to support domain independence, its
formalization should be flexible, reusable and extensible. This
can be achieved via an ontology design pattern [
        <xref ref-type="bibr" rid="ref8">8</xref>
        ], which
treats the model of place as a self-contained building block
able to be integrated into other ontologies. A concise version
of the ontology is shown in Figure 1. There are two notable
operations that this model of place can offer: (a) projection of
functional context on space and (b) infusion of space with
functional context. Each operation depends on the information
flow, either following a top-down approach and moving from
functions to spatial properties or adapting a bottom-up
procedure from spatial properties towards functions. These
operations are denoted as spatial design and functional
infusion, respectively. A graphical representation of both
procedures is illustrated in Figure 2, using the example of a
shopping centre.
      </p>
      <p>The composition pattern of the shopping centre (Figure 2a)
is used for the functional infusion of an area in Santa Barbara
County. Particularly, this example demonstrates the search of
place and specifically the function-based search of space. The
objective is to locate all places that offer the functions of a
shopping centre using OpenStreetMap data. Figure 3 shows
the results of the procedure along with the corresponding
query of “shopping centre” using the Google Maps platform.</p>
      <p>There is a satisfying similarity between the two result sets.
However, as opposed to the traditional place name search, the
functional infusion includes all places that adhere to the same
rules, even if they are not registered as shopping centres. As a
result, there are places that are not included in the results of
the Google Maps query, such as the area close to the
University Campus and the place “The Shop”. In addition,
functional infusion is not limited to locating a place but also
provides an estimation of its spatial extent.</p>
      <p>
        The current state of this work focuses on the detailed
formalization and evaluation of the dimension of composition.
Particularly, we emphasize on specializing the components’
geometric descriptors by including features such as scale,
fuzzy boundaries and image schemas [
        <xref ref-type="bibr" rid="ref7">7</xref>
        ]. The idea behind this
is the potentiality of unsupervised functional infusion using
recurring structures and patterns in order to categorize
components from semantically poor information such as
remote sensing data and so on. In addition, we examine the
possibility of extending the spatial relations between the
components of a place by including mereological association,
in order to describe part-of dependencies between them.
Assuming that place is a space that offers functionality, we
propose an ontological model of place that complies to the
theory of the object of discourse. This model defines places
using the dimensions of spatial properties, composition and
functions. Particularly, a place offers a set of functions that
are enabled by a set of components that adhere to a particular
topology, which in turn is realized by spatial properties. This
model introduces two fundamental procedures: the extraction
of spatial patterns, known as spatial design and the infusion of
space with a functional context. Finally, we demonstrate the
spatial design of a shopping centre followed by a
functionbased search of shopping places at the area of the Santa
Barbara County.
      </p>
      <p>An interesting direction of future work is the extension of
the model of place to the planes of intentionality and
emotions. More practical future directions include the
automation of the following tasks: (a) acquisition of
functionbased data; (b) extraction of functions based on purposes that
people assign to places; (c) extraction of place composition
patterns based on a set of functions.</p>
    </sec>
    <sec id="sec-4">
      <title>Acknowledgements</title>
      <p>The presented work is framed within the Doctoral College
GIScience (DK W 1237N23), funded by the Austrian Science
Fund (FWF)</p>
    </sec>
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