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  <front>
    <journal-meta>
      <journal-title-group>
        <journal-title>J. Jastrzębiec-Jankowski);</journal-title>
      </journal-title-group>
      <issn pub-type="ppub">1613-0073</issn>
    </journal-meta>
    <article-meta>
      <title-group>
        <article-title>Efective Indoor Navigation in a Metro System and Dependency on the Positioning Precision</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Jerzy Jastrzębiec-Jankowski</string-name>
          <email>jerzy.jastrzebiecjankowski.stud@pw.edu.pl</email>
          <xref ref-type="aff" rid="aff0">0</xref>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Mikołaj Domagalski</string-name>
          <email>mikolaj.domagalski.stud@pw.edu.pl</email>
          <xref ref-type="aff" rid="aff0">0</xref>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Workshop</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Positioning and Indoor Navigation</institution>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>Warsaw University of Technology, Faculty of Electronics and Information Technology</institution>
          ,
          <addr-line>Nowowiejska 15/19, 00-665 Warsaw</addr-line>
          ,
          <country country="PL">Poland</country>
        </aff>
      </contrib-group>
      <volume>000</volume>
      <fpage>0</fpage>
      <lpage>0001</lpage>
      <abstract>
        <p>The paper presents a practical and cost-efective approach to indoor navigation that reduces reliance on highprecision positioning systems. Developed within the LIFT project at the Warsaw University of Technology, the proposed system is tailored for metro environments and supports users, in navigating through stations with greater confidence and autonomy. By combining Bluetooth Low Energy ( BLE) -based positioning with landmark-based instructions, contextual images, and Augumented Reality (AR) elements, the system delivers intuitive guidance without requiring sub-meter accuracy. A three-layer spatial data model underpins the route generation and instruction framework, emphasizing user interpretability over constant real-time tracking. The mobile application, deployed and tested in the Warsaw Metro received positive feedback for its usability and accessibility. The findings demonstrate that efective indoor navigation can be achieved through intelligent instruction design and user-centric interface development, rather than solely through technical enhancements in positioning accuracy.</p>
      </abstract>
      <kwd-group>
        <kwd>Metro system</kwd>
        <kwd>wayfinding</kwd>
        <kwd>BLE beacons</kwd>
        <kwd>landmark-based instructions</kwd>
        <kwd>indoor navigation</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Introduction</title>
      <p>(M. Domagalski)</p>
      <p>CEUR</p>
      <p>ceur-ws.org</p>
      <p>
        Faculties of Geodesy and Cartography, Electronics and Information Technology, Civil Engineering, and
Architecture. Beyond the development of technical solutions, the research has included study visits to
cities such as Barcelona and Los Angeles to examine efective indoor navigation practices. The project
also benefits from close collaboration with organizations representing people with disabilities, ensuring
that the solutions developed are grounded in real-world needs. Preliminary results were presented at
the CSUN Assistive Technology Conference [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ], receiving positive feedback. The final outcome of the
project was the launch of a mobile application for Warsaw Metro users in September 2024.
      </p>
      <p>This paper presents the conceptual foundation of a system designed to navigate users through metro
stations eficiently, without requiring sub-meter positioning accuracy. The proposed solution is based
on a customized spatial data model and an adaptive instruction generation algorithm.</p>
      <p>The paper is structured as follows: Section 2 reviews the current landscape of indoor positioning
systems and their limitations in enabling high-quality navigation. Section 3 introduces the developed
system, and Section 4 evaluates its applicability in real-world environments.</p>
    </sec>
    <sec id="sec-2">
      <title>2. Related Work</title>
      <p>Indoor navigation systems are widely used in transportation hubs such as airports, metro stations,
and train terminals. These systems are implemented either via customized venue-specific apps or
through general-purpose apps developed by third-party providers. Custom apps typically ofer deeper
integration, incorporating maps, points of interest, and contextual features such as notifications. This
makes navigation smoother and more intuitive. On the other hand, general apps provide only basic
venue maps, requiring users to manually select their destination, often with limited context. The
analysis of both types of apps shows that most existing solutions use traditional step-by-step navigation,
which relies heavily on the precision of the underlying positioning system. When positioning fails or is
not accurate enough, the instructions become unreliable.</p>
      <sec id="sec-2-1">
        <title>2.1. Airport navigation systems</title>
        <p>
          Research on indoor navigation in airport environments shows a strong focus on improving positioning
systems, particularly in enhancing accuracy and reliability. For example, the solution presented in [
          <xref ref-type="bibr" rid="ref3">3</xref>
          ]
emphasizes the security aspects of indoor positioning. In [
          <xref ref-type="bibr" rid="ref4">4</xref>
          ] and [
          <xref ref-type="bibr" rid="ref5">5</xref>
          ], researchers explore new approaches
for designing positioning modules. Despite the high interest in deploying indoor positioning systems in
airports, little attention has been paid to addressing the limitations of these systems through strategies
such as refining instruction generation or incorporating dense networks of points of interest (POIs)
to provide richer contextual guidance. An example of the most common navigation methodology in
airport navigation apps can be observed in Figure 1. It typically involves the use of instructions based
on distances in meters, which are often not intuitive for average users.
        </p>
      </sec>
      <sec id="sec-2-2">
        <title>2.2. Metro navigation systems</title>
        <p>
          The metro stations and buildings are usually complex and architecturally distinct from other typical
indoor venues. They consist of numerous corridors, which are often narrow and prone to high pedestrian
density. Compared to airports, there are significantly fewer applications specifically designed for metro
navigation. In [
          <xref ref-type="bibr" rid="ref6">6</xref>
          ], the authors introduce a multimodal positioning method aimed at improving location
accuracy. Meanwhile, [
          <xref ref-type="bibr" rid="ref7">7</xref>
          ] demonstrates a marker-based navigation system combined with Inertial
Measurement Unit (IMU) data from smartphones. Although this is not the authors’ primary focus, they
also propose an Augmented Reality (AR) guidance mechanism that enhances contextual understanding
and mitigates the efects of positioning inaccuracies. These examples highlight that, while advances in
positioning technologies are being explored, there remains a lack of comprehensive systems ofering
end-to-end navigation tailored to the metro environment—indicating a stronger emphasis on improving
positioning accuracy rather than on holistic user guidance.
        </p>
      </sec>
      <sec id="sec-2-3">
        <title>2.3. Special solutions enhancing indoor navigation</title>
        <p>
          Extensive research has been conducted on how individuals navigate through indoor environments and
how architectural and signage design can facilitate intuitive wayfinding. In [
          <xref ref-type="bibr" rid="ref8">8</xref>
          ], researchers identify
key features of route descriptions that enhance their efectiveness in unfamiliar settings. Building on
this insight, the authors of [9] developed a framework for generating landmark-based instructions
using data about spatial object categories—data that is commonly available in existing spatial databases.
At the Indoor Positioning and Indoor Navigation Conference, researchers from Aachen University
presented a novel indoor navigation system that guides users using images of their surroundings and
descriptive text, without relying on hardware-based positioning. This approach leverages contextual
interpretation by users, promoting resilience against positioning inaccuracies. While these publications
provided a valuable foundation for the development of the system described below, they fell short of
demonstrating a fully implemented and practically deployed solution capable of delivering intuitive,
real-world indoor navigation for users.
        </p>
      </sec>
    </sec>
    <sec id="sec-3">
      <title>3. Main components of the system</title>
      <p>The previous chapter focused on reviewing literature relevant to the topic. While the solutions presented
in these studies are not without limitations, they provide a solid foundation upon which the proposed
system is built. The system developed in this work aims to address the issues identified above by
designing an indoor navigation solution that does not rely on sub-meter positioning accuracy. Instead, it
leverages the user’s ability to interpret contextual information by providing landmark-based instructions
and images of the surroundings, enhanced with AR elements.</p>
      <sec id="sec-3-1">
        <title>3.1. Implemented indoor positioning module</title>
        <p>While the methodology for implementing the positioning module is not the primary focus of this paper,
it is important to briefly describe the technology used and the achieved accuracy in order to provide
context regarding the extent to which positioning inaccuracies can be mitigated by the applied methods.</p>
        <p>The indoor positioning module is based on BLE beacons installed throughout the metro stations.
The positioning technique used is fingerprinting [ 10][11], chosen primarily because the creation of the
station’s signal map could be synchronized with the process of capturing images for the image-based
instructions, thereby reducing the overall workload.</p>
        <p>After collecting the signal data necessary for positioning, a machine learning model was trained.
Three diferent algorithms were evaluated:
• K-Nearest Neighbours (KNN)
• Support Vector Machine (SVM)
• Random Forest (RF)
Among these, the RF algorithm yielded the highest classification accuracy of 77% resulting in the average
distance between the user’s true position and the predicted node of the navigational graph of 6.15
meters This level of precision is suficient for the system’s needs, as the accuracy of user positioning
is inherently constrained by the data model. Specifically, the user’s position is always snapped to the
nearest node in the routing graph, where the average spacing between nodes is approximately 8.5
meters.</p>
      </sec>
      <sec id="sec-3-2">
        <title>3.2. Station architecture</title>
        <p>The system has been specifically designed for the Warsaw Metro, and the architectural analysis is
therefore tailored to the characteristics of this transit network. Metro stations typically feature entrances
with staircases that lead into narrow corridors, eventually connecting to the main station area with
turnstiles [12]. The layout is generally linear, guiding passengers from the entrance to the platform and
vice versa, which naturally reduces the need for high-precision indoor positioning.</p>
        <p>Unlike ofice buildings or malls, metro stations lack complex branching paths or numerous individual
rooms. In such buildings, users often need to be directed to specific rooms or areas, increasing the
demand for precise localization. Metro stations, by contrast, are designed to accommodate large volumes
of pedestrian trafic, resulting in wider corridors and open spaces. Additionally, the boundaries between
functional areas in metro stations are less distinct—these are primarily transit spaces, and heavy spatial
separation (e.g. via doors or partitions) would hinder passenger flow and reduce system eficiency.</p>
      </sec>
      <sec id="sec-3-3">
        <title>3.3. User Interface</title>
        <p>Another important consideration in the system’s development was designing the user interface and
application flow to function independently of the indoor positioning module [ 13]. By default, the user
manually selects the starting point and destination of the journey, as they may not currently be located
within the metro station. The application also provides an option to determine the user’s location
via GPS, which is particularly useful when outdoors; in such cases, the nearest station entrance is
automatically selected as the starting point.</p>
        <p>While the indoor positioning module runs in the background, if it successfully detects the user’s
location, a pop-up notification prompts the user to confirm whether they would like to see their location
(Figure 2). Later on they can select it as a starting point of their journey. Importantly, the application
does not continuously track the user’s movement during navigation. This decision is based on the
rationale that displaying live location updates or highlighting real-time instructions may introduce
confusion if the positioning data is inaccurate. Instead, the system relies on the user’s ability to interpret
contextual cues and navigate based on provided instructions.</p>
      </sec>
      <sec id="sec-3-4">
        <title>3.4. Landmark-based instructions</title>
        <p>The generation of landmark-based instructions is closely linked to both the system’s data model and
the algorithm used for generating the instructions. The overall process has been described in detail in a
previous publication by the research team [14].</p>
        <p>The data model consists of three distinct layers:
• Transport Network
• Room Topology
• Topography</p>
        <p>The Transport Network layer is primarily used for route calculation, as it contains the geometries of
path segments. However, the layers most relevant to landmark-based instruction generation are the
Room Topology and Topography layers.</p>
        <p>The Room Topology layer identifies when a change in spatial context occurs—such as moving from
one room to another, ascending a staircase, or similar transitions. At this stage, instructions may lack
full contextual detail, but identifying such transitions is essential for meaningful navigation.</p>
        <p>The Topography layer enriches instructions with contextual information. It includes details about
interior features, named zones within stations, and descriptions of prominent landmarks. This layer
plays a key role in generating intuitive and user-friendly guidance.</p>
      </sec>
      <sec id="sec-3-5">
        <title>3.5. Usage of images</title>
        <p>To ensure that users can navigate the metro system freely without relying on sub-meter positional
accuracy, an additional solution has been implemented: the inclusion of visual cues. The data model has
been extended to incorporate a link between the geometries of path segments and images representing
the surrounding environment within the Transport Network layer. This allows the application to
display relevant images to the user once a path has been determined, helping them visually confirm the
correct route.</p>
        <p>Additionally, the application utilizes AR to further assist passengers by overlaying navigational
guidance directly onto the real-world environment (Figure 3).</p>
        <p>Navigation instructions generated by the algorithm fall into five possible maneuver types:
• right turn
• mild right turn
• left turn
• mild left turn
• straight</p>
        <p>The type of maneuver selected depends on the distance over which the user must make the turn.
If the turn is executed over a longer distance, a mild turn (implying a smaller angle) is selected. For
shorter distances, a sharper turn is expected, so a standard left or right turn is chosen.</p>
      </sec>
    </sec>
    <sec id="sec-4">
      <title>4. Method and Experimental setup</title>
      <p>Usability tests were conducted with over 30 participants representing diverse backgrounds, age groups,
and familiarity levels with the metro system, with additional feedback collected from real-life users via
the publicly available application on the Apple App Store and Google Play Store. To ensure objectivity,
none of the core test participants had prior experience with the mobile application. Each participant
completed a designated nine-stop metro journey, including one line transfer, both with and without
the app. The route, shown in Figure 4, was intentionally designed to involve elevator navigation and a
transfer to reflect realistic, moderately complex travel scenarios. After a brief introduction, participants
used the in-app map to locate the nearest elevator and initiate the “to platform” navigation, which
provided on-screen guidance from the surface to the metro platform. Following a 15-minute journey
and a line change, they arrived at the destination station, where they used the “to surface” function to
set route parameters and receive step-by-step instructions to the target tram stop. Upon completing the
journey, participants filled out a short questionnaire, which asked whether using the mobile app afected
their comfort with the metro system, whether a more precise indoor positioning module would improve
or worsen the experience, and whether they relied on text-based landmark instructions, image-based
instructions, or both while navigating.</p>
    </sec>
    <sec id="sec-5">
      <title>5. Conclusion</title>
      <p>An exact explanation of the process of analysis of the results has been omitted due to the page limitation
of the paper. Collected feedback allowed us to draw the following conclusions:
• Overall, user feedback was positive. Most users reported that the application increased their
comfort and confidence when using the metro. None of the participants indicated issues related to
their positioning within metro stations or expressed a need for a highly precise indoor positioning
system. This confirms the main thesis of this paper: sub-meter accuracy is not required for
efective metro navigation. Among the implemented features, landmark-based instructions
received the most praise. Users appreciated being informed about their surroundings and what
to expect along their journey, which helped them avoid major navigational errors.
• Positive feedback was also received from users with visual impairments. Although they could
not benefit from image-based instructions, the landmark-based guidance significantly enhanced
their ability to visualize the route and increased their travel confidence. Unlike standard indoor
navigation apps that rely on rigid, step-by-step instructions, this system ofers a more intuitive and
lfexible approach. Users are not forced to follow a predefined path precisely, reducing dependency
on the system and decreasing the risk of accidents caused by incorrect positioning—particularly
important for visually impaired users who rely more heavily on the navigation system.
Another benefit for this group is the ability to pre-plan routes at home without needing an active
indoor positioning module, allowing them to mentally prepare by visualizing the environment
beforehand.</p>
      <p>Despite the generally positive feedback, several limitations of the application were identified. One
notable issue was a decrease in user attention to their physical surroundings during navigation. The use
of the mobile device led some users to focus more on the screen than on their environment, increasing
the likelihood of minor mistakes that may not have occurred otherwise. Additionally, in certain
instances, users made significant navigational errors without being immediately aware of them. When
this happened, the visual or textual instructions provided by the application no longer matched the
user’s surroundings, resulting in confusion and a loss of time as users attempted to determine whether
the instructions were incorrect. In some cases, this led to users arriving at unintended locations.</p>
      <p>To address these limitations, future development could incorporate a detour detection mechanism.
This feature would monitor a user’s position relative to the planned route and detect significant
deviations. Upon detecting a detour, the system could issue timely alerts to guide the user back to the
correct path or, at the very least, inform them that they are of-course. Such a capability would reduce
confusion and minimize time lost in returning to the intended route. Another improvement involves
mitigating ambiguity in complex environments, such as areas with similar-looking doors or adjacent
elevators. By incorporating a spatial analysis algorithm capable of detecting such situations, the system
could either alert users to potential confusion or ofer more detailed instructions, thereby enhancing
clarity and user confidence during navigation.</p>
    </sec>
    <sec id="sec-6">
      <title>Declaration on Generative AI</title>
      <p>The author(s) have not employed any Generative AI tools.
[9] I. Fellner, H. Huang, G. Gartner, “turn left after the wc, and use the lift to go to the 2nd
floor”—generation of landmark-based route instructions for indoor navigation, ISPRS International Journal of
GeoInformation 6 (2017). URL: https://www.mdpi.com/2220-9964/6/6/183. doi:10.3390/ijgi6060183.
[10] P. I. Philippopoulos, K. N. Koutrakis, E. D. Tsafaras, E. G. Papadopoulou, D. Sigalas, N. D. Tselikas,
S. Ougiaroglou, C. Vassilakis, Cost-eficient rssi-based indoor proximity positioning, for
large/complex museum exhibition spaces, Sensors 25 (2025). URL: https://www.mdpi.com/1424-8220/
25/9/2713. doi:10.3390/s25092713.
[11] E. Skýpalová, M. Boroš, T. Loveček, A. Veľas, Innovative indoor positioning: Ble beacons for
healthcare tracking, Electronics 14 (2025). URL: https://www.mdpi.com/2079-9292/14/10/2018.
doi:10.3390/electronics14102018.
[12] A. Tofiluk, M. Domagalski, B. Wiktorzak, Analiza wybranych aspektów przestrzeni warszawskiego
metra w kontekście dostosowania do potrzeb osób z niepełnosprawnością ruchu, Builder 27 (2023)
20–26.
[13] G. Szewczuk, R. Olszewski, Development of methodology for designing indoor cartographic
visualizations for use in navigation for persons with special needs, Polish Cartographical Review
56 (2025) 115–133.
[14] J. B. Marciniak, B. Wiktorzak, Automatic generation of guidance for indoor navigation at metro
stations, Applied Sciences 14 (2024). URL: https://www.mdpi.com/2076-3417/14/22/10252. doi:10.
3390/app142210252.</p>
    </sec>
  </body>
  <back>
    <ref-list>
      <ref id="ref1">
        <mixed-citation>
          [1]
          <string-name>
            <given-names>A. A.</given-names>
            <surname>Morgan</surname>
          </string-name>
          ,
          <article-title>On the accuracy of ble indoor localization systems: An assessment survey</article-title>
          ,
          <source>Computers and Electrical Engineering</source>
          <volume>118</volume>
          (
          <year>2024</year>
          )
          <article-title>109455</article-title>
          . URL: https://www.sciencedirect.com/science/ article/pii/S0045790624003823. doi:https://doi.org/10.1016/j.compeleceng.
          <year>2024</year>
          .
          <volume>109455</volume>
          .
        </mixed-citation>
      </ref>
      <ref id="ref2">
        <mixed-citation>
          [2] California State University, Northridge, Csun assistive technology conference, https://www.csun. edu/,
          <year>2024</year>
          . URL: https://www.csun.edu/, accessed:
          <fpage>2025</fpage>
          -06-08.
        </mixed-citation>
      </ref>
      <ref id="ref3">
        <mixed-citation>
          [3]
          <string-name>
            <given-names>I.</given-names>
            <surname>Santos-González</surname>
          </string-name>
          ,
          <string-name>
            <given-names>A.</given-names>
            <surname>Rivero-García</surname>
          </string-name>
          ,
          <string-name>
            <given-names>P.</given-names>
            <surname>Caballero-Gil</surname>
          </string-name>
          ,
          <article-title>Secure indoor location for airport environments</article-title>
          ,
          <source>in: 2018 4th International Conference on Big Data Innovations</source>
          and
          <string-name>
            <surname>Applications (Innovate-Data</surname>
            <given-names>)</given-names>
          </string-name>
          , IEEE,
          <year>2018</year>
          , pp.
          <fpage>60</fpage>
          -
          <lpage>64</lpage>
          .
        </mixed-citation>
      </ref>
      <ref id="ref4">
        <mixed-citation>
          [4]
          <string-name>
            <given-names>B.</given-names>
            <surname>Molina</surname>
          </string-name>
          ,
          <string-name>
            <given-names>E.</given-names>
            <surname>Olivares</surname>
          </string-name>
          ,
          <string-name>
            <given-names>C. E.</given-names>
            <surname>Palau</surname>
          </string-name>
          ,
          <string-name>
            <given-names>M.</given-names>
            <surname>Esteve</surname>
          </string-name>
          ,
          <article-title>A multimodal fingerprint-based indoor positioning system for airports</article-title>
          ,
          <source>Ieee Access</source>
          <volume>6</volume>
          (
          <year>2018</year>
          )
          <fpage>10092</fpage>
          -
          <lpage>10106</lpage>
          .
        </mixed-citation>
      </ref>
      <ref id="ref5">
        <mixed-citation>
          [5]
          <string-name>
            <given-names>M.</given-names>
            <surname>Vieira</surname>
          </string-name>
          ,
          <string-name>
            <given-names>M. A.</given-names>
            <surname>Vieira</surname>
          </string-name>
          , G. Galvão,
          <string-name>
            <given-names>P.</given-names>
            <surname>Louro</surname>
          </string-name>
          ,
          <string-name>
            <given-names>P.</given-names>
            <surname>Vieira</surname>
          </string-name>
          ,
          <string-name>
            <given-names>A.</given-names>
            <surname>Fantoni</surname>
          </string-name>
          ,
          <article-title>Optimizing indoor airport navigation with advanced visible light communication systems</article-title>
          ,
          <source>Sensors</source>
          (Basel, Switzerland)
          <volume>24</volume>
          (
          <year>2024</year>
          )
          <fpage>5445</fpage>
          .
        </mixed-citation>
      </ref>
      <ref id="ref6">
        <mixed-citation>
          [6]
          <string-name>
            <given-names>C.</given-names>
            <surname>Sun</surname>
          </string-name>
          ,
          <string-name>
            <given-names>X.</given-names>
            <surname>Yang</surname>
          </string-name>
          ,
          <string-name>
            <given-names>Y.</given-names>
            <surname>Zhen</surname>
          </string-name>
          ,
          <string-name>
            <given-names>Y.</given-names>
            <surname>Bai</surname>
          </string-name>
          , L. Peng,
          <article-title>Research on multimodal fusion indoor positioning under high-throughput passenger flow: A case study of metro station</article-title>
          ,
          <source>in: 2024 IEEE 27th International Conference on Intelligent Transportation Systems (ITSC)</source>
          ,
          <year>2024</year>
          , pp.
          <fpage>2214</fpage>
          -
          <lpage>2220</lpage>
          . doi:
          <volume>10</volume>
          .1109/ITSC58415.
          <year>2024</year>
          .
          <volume>10920202</volume>
          .
        </mixed-citation>
      </ref>
      <ref id="ref7">
        <mixed-citation>
          [7]
          <string-name>
            <given-names>G.</given-names>
            <surname>Lee</surname>
          </string-name>
          ,
          <string-name>
            <given-names>H.</given-names>
            <surname>Kim</surname>
          </string-name>
          ,
          <article-title>A hybrid marker-based indoor positioning system for pedestrian tracking in subway stations</article-title>
          ,
          <source>Applied Sciences</source>
          <volume>10</volume>
          (
          <year>2020</year>
          ). URL: https://www.mdpi.com/2076-3417/10/21/7421. doi:
          <volume>10</volume>
          .3390/app10217421.
        </mixed-citation>
      </ref>
      <ref id="ref8">
        <mixed-citation>
          [8]
          <string-name>
            <given-names>M.-P.</given-names>
            <surname>Daniel</surname>
          </string-name>
          , M. Denis,
          <article-title>Spatial descriptions as navigational aids: A cognitive analysis of route directions</article-title>
          ,
          <source>Kognitionswissenschaft</source>
          <volume>7</volume>
          (
          <year>1998</year>
          )
          <fpage>45</fpage>
          -
          <lpage>52</lpage>
          .
        </mixed-citation>
      </ref>
    </ref-list>
  </back>
</article>