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				<title level="a" type="main">Vertical Context of Geographic Locations: An Empirical Comparison of Three Visualization Approaches</title>
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				<date type="published" when="2024-07-10">July 10, 2024</date>
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							<persName><forename type="first">Prasad</forename><surname>Madushanka</surname></persName>
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								<orgName type="department">Institute for Geoinformatics</orgName>
								<orgName type="institution">University of Münster</orgName>
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									<country key="DE">Germany</country>
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							<persName><surname>Auriol Degbelo</surname></persName>
							<email>auriol.degbelo@tu-dresden.de</email>
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								<orgName type="department">Chair of Geoinformatics</orgName>
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									<country key="DE">Germany</country>
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						<title level="a" type="main">Vertical Context of Geographic Locations: An Empirical Comparison of Three Visualization Approaches</title>
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							<date type="published" when="2024-07-10">July 10, 2024</date>
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					<term>linked data visualization</term>
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					<term>vertical context of geographic location</term>
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<div xmlns="http://www.tei-c.org/ns/1.0"><p>The vertical context of a geographic location encompasses all known information about that location. Though linked data is suitable for representing the vertical context of geographic locations, there is still a need for means to help users explore this vertical context visually and guidelines for designers of vertical context visualizations. To address this gap, this article compared three visualization approaches: map + table at the location of interest, map + markers at the location of interest and map + circular treemap at the location of interest. The three approaches were tested using two datasets: DBpedia (vertical context of places), and Umweltbundesamt data (vertical context of environmental data). While the approaches were comparable in terms of efficiency and effectiveness for most tasks, the map + circular treemap approach received higher ratings from participants (N=18) for enjoyment, usefulness, and satisfaction. The findings from this empirical study are an initial step towards developing guidelines for visualizing vertical context information extracted from geolinked data and beyond.</p></div>
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<div xmlns="http://www.tei-c.org/ns/1.0"><head n="1.">Introduction</head><p>Geographic locations are more than points on a map; they are only one dimension of the more complex notion of place <ref type="bibr" target="#b0">[1]</ref>, and often act as the connecting link between many attributes. Following <ref type="bibr" target="#b1">[2]</ref>, these attributes can be divided into two groups: those belonging to the horizontal context and those belonging to the vertical context. The horizontal context refers to the context established by information about surrounding locations. This could involve attributes such as the physical proximity to other landmarks, the accessibility to transportation networks, or the cultural and economic ties with neighbouring regions. By contrast, the vertical context pertains to the context established by all things that are known about a location. It encapsulates various attributes such as topography, climate, land use, historical significance, etc. and any other feature that adds depth to the understanding of a location. The topic of this article is the visualization of the vertical context of a geographic location. While linked data is suitable to represent</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>Table 1</head><p>Examples of approaches to inform about the vertical context of geographic locations. VerticalGeoVis refers to the prototype built during this work with its variants.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>Application User Interface Elements Windows Content Categorization</head><p>DBpedia Page <ref type="bibr" target="#b10">[11]</ref> table-only single-window no AWI Map <ref type="bibr" target="#b11">[12]</ref> map+table multiple windows no IOER Monitor <ref type="bibr" target="#b12">[13]</ref> map+table+diagram single-window yes TERENO <ref type="bibr" target="#b13">[14]</ref> map+table single-window no VerticalGeoVis (MT) map+table single-window yes VerticalGeoVis (MM) map+markers single-window yes VerticalGeoVis (MCT) map+circular treemap single-window yes contextual information in general <ref type="bibr" target="#b2">[3]</ref> and hence, the vertical context of geographic locations in particular, there are currently few means to help users explore this vertical context visually, and limited empirically derived guidelines for designers of vertical context visualizations. Since the spatial dimension is important in organizing knowledge (see e.g. <ref type="bibr" target="#b3">[4]</ref>), investigating means to visualize the vertical context is a prerequisite to getting a holistic picture of what happens at a location. Hence, research on visualizing the vertical context of geographic location is relevant to work on linked geographic data <ref type="bibr" target="#b4">[5,</ref><ref type="bibr" target="#b5">6,</ref><ref type="bibr" target="#b6">7]</ref>, linked science <ref type="bibr" target="#b7">[8]</ref>, open (geo)data reuse <ref type="bibr" target="#b8">[9]</ref> and spatial data infrastructures <ref type="bibr" target="#b9">[10]</ref>, to name a few. Table <ref type="table">1</ref> shows a few examples of applications displaying all attribute information about a place, along with their strategy. While the study presented next considers visualization approaches to answer basic questions as a first step, the work's long-term goal is to build visualization techniques that help users "digest" all information available about a location, to the end of formulating spatial hypotheses about places. This article presents an empirical study addressing the question: 'How to effectively visualize the vertical context of geographic locations?'. The article compared three approaches: map + table at the location of interest (hereafter MT), map + markers at the location of interest (hereafter MM) and map + circular treemap at the location of interest (hereafter MCT). The map is present in the three approaches because it is the most suitable medium to communicate spatial knowledge <ref type="bibr" target="#b14">[15]</ref>. Besides, in all three cases, the content is grouped according to thematic categories (e.g. political, weather, administrative) that can be explored. The exploration of the attribute values within the thematic categories happens through different interaction techniques respectively: scrolling (MT), panning (MM) and zooming (MCT). The three approaches were tested using two datasets: DBpedia <ref type="bibr" target="#b15">[16]</ref> (vertical context of places), and Umweltbundesamt data (vertical context of environmental data). The Umweltbundesamt is the environment agency of the German government. DBpedia (knowledge graph data) was accessed through the DBpedia Live Sync API 1 , while the Umweltbundesamt data (structured data as JSON) was accessed through the 'Air Data API (UBA)' 2 . The contribution of this work is an empirical investigation informing about the respective merits of the three approaches.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="2.">Background</head><p>As discussed in <ref type="bibr" target="#b16">[17]</ref>, there are at least 16 linked data visualization use cases. Visualizing the vertical context can be seen as a case of visualizing the information related to a specific instance <ref type="bibr" target="#b16">[17]</ref>, when the specific instance is a location of interest. The necessity of communicating the spatial context of the data instances is an additional requirement for tools visualizing the vertical context of geographic locations, next to the visualization of all attributes available for that location (the attributes may be provided as linked data or not). Ideally, these tools should also support the follow-your-nose principle, which adds another dimension of complexity. As a first step, all attributes retrieved for a location were treated as RDF-literals in this work, i.e. available links were removed for simplicity.</p><p>The existing literature offers several reviews about tools and approaches to visualize linked data (e.g. <ref type="bibr" target="#b17">[18,</ref><ref type="bibr" target="#b18">19,</ref><ref type="bibr" target="#b19">20,</ref><ref type="bibr" target="#b20">21]</ref>), but 'vertical context exploration' as a use case is mostly absent from these reviews. Tools visualizing geo-linked data exist, but they often have a different focus than user interfaces' impact on the exploration of all things known about a location. For instance, Mai et al. <ref type="bibr" target="#b21">[22]</ref> proposed a multi-view interface (i.e. table view + graph view + map view) to enable the exploration of scientific geographic data sources. Here, the focus was on the discovery of detailed information about an entity, relationships between entities and between entity types, and the spatial distribution of entities. In <ref type="bibr" target="#b22">[23]</ref>, different configurations can be loaded (and a plugin that interprets the point geometry for locations), to display information about DBpedia cities in the Phuzzy.link browser. Attribute information is displayed as a table (similar to DBpedia Page), and hence the Phuzzy.link interface would qualify as a vertical context visualization. Nonetheless, vertical context exploration was not the focus of the work, but rather the concept of an adaptable interface to explore SPARQL endpoints from the browser. At last, Potnis and Durbha <ref type="bibr" target="#b23">[24]</ref> illustrate how to show country information on a 3D globe, but their focus was on the display of geographic relationships (e.g. "hasBorderWith") between geographical entities.</p><p>The study presented next is a user-based evaluation of three strategies to retrieve information about the vertical context of a location (MT, MM and MCT). We consider three informationseeking questions: elementary-level questions (questions about specific values of a property at a given location), intermediate-level questions (questions about a specific category and its subelements at the location of interest) and global-level questions (questions about all categories of topics at the location of interest).</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="3.">Method</head><p>We compared the merits of the three approaches through a controlled experiment. The following variables were considered during the experiment:</p><p>• Independent variables: the three visualization approaches (map+table, map+markers, map+circular treemap), the type of questions asked (specific attribute values, overview [count of attributes per category], overview [attribute categories]), and the six attribute levels (60, 90, 105, 140, 180, 200).</p><p>• Dependent variables: efficiency (task completion time), effectiveness (accuracy of tasks), perceived enjoyment, perceived usefulness, perceived satisfaction and perceived ease of use regarding the visualization approaches. • Controlled variables: number of screens used (N=1) and screen size (all between 13 inches and 27 inches). • Subject variables: age, gender, educational background, English proficiency, computer literacy and prior experience with visualization tools (i.e. web maps, Leaflet.js markers and D3.js zoomable circle packing).</p><p>We anticipated before the study that the magnitude of attributes displayed might influence the performance of the techniques assessed and introduced the notion of 'attribute level' to capture this potential effect. 'Attribute level X' stands for 'number of attribute values in the order of X' or 'number of attribute values roughly equal to X'. The initial plan was to start with attribute level 60 and increase it incrementally by 30 attributes for each subsequent level. However, due to attributes actually offered by the datasets, we adjusted the final attribute levels slightly, i.e. 60, 90, 105 (instead of 120), 140 (instead of 150), 180, and 200 (instead of 210).</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="3.1.">Datasets</head><p>Two datasets were used: DBpedia and the Umweltbundesamt data (hereafter UBA). We used each to collect information about the vertical context of 10 cities in Germany (Table <ref type="table" target="#tab_0">2</ref>). While both provide information about the vertical context of places, a difference between the two is that DBpedia provides mostly information in the form of text, while Umweltbundesamt offers primarily numerical information, e.g., for attributes such as Fine dust, Carbon monoxide (CO), Sulphur dioxide (SO2), Ozone (O3) and Nitrogen dioxide (NO2). The DBpedia Live Sync API was used by inputting the city names as query parameters and the data was obtained in N-triples format. Relevant data from Umweltbundesamt was obtained in JSON format from the "Air Data API (UBA) 3.0.0". Raw data obtained from the two APIs underwent cleaning and post-processing before rendering through the visualization approaches.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="3.2.">Prototype</head><p>The application was built using Web technologies (HTML, CSS, JavaScript), a web mapping library (Leaflet) and a visualization library (D3.js). We used Leaflet (version 1.9.4) for the base maps and location markers, D3.js (Version 4) for the circular treemap, and Bootstrap (version 5.3.2) as the CSS framework. The application features search for locations, the choice of datasets, the choice of a visualisation approach, as well as short answers to frequently asked questions. The approaches were renamed into "Visualization Approach 1", "Visualization Approach 2" and "Visualization Approach 3" during the experiment to avoid potential participant bias. A demo of the application is available at https://youtu.be/zLCy3shSOoU. Figures <ref type="figure" target="#fig_1">1, 2 and 3</ref> show screenshots of the three visualization approaches on the two datasets respectively.</p><p>• Map+table: The information is presented in a table format, grouped by the main attribute category (Figure <ref type="figure">1a</ref>). This arrangement enables users to efficiently search for specific data by scrolling through the table. Categorizing the data facilitates swift navigation to sections of interest, enhancing the overall efficiency of data retrieval. Additionally, attribute indexing improves the ease of counting the attributes relevant to each group or attribute within the dataset. • Map+markers: Instead of a traditional table format, the data is represented by leaflet markers arranged in a spiral pattern, i.e. the makers are 'spiderfied' <ref type="bibr" target="#b24">[25]</ref>. The spiderify method, described in <ref type="bibr" target="#b24">[25]</ref>, was originally suggested to tackle the problem of visualizing multiple markers at the same location. Thus, we reused it in this context to convey the idea that all attributes are attached to the same location. The spiderify method takes the markers placed in the same position and arranges them in a spiral. The advantage of the spiral pattern is its compactness, which enables the display of numerous attributes. Each marker represents different attributes, making it possible for users to identify and differentiate between them. When users click on a marker, a pop-up message appears, showing the name of the attribute category and its corresponding values. Colour hue is used to highlight markers belonging to the same category (Figure <ref type="figure">2a</ref>). • Map+circular treemap: The visualization organizes information into circles representing distinct attribute categories for a city (Figure <ref type="figure" target="#fig_1">3a</ref>). Upon a user's click on a category, the visualization zooms in to display the attribute-value pair information available in that specific circle (Figure <ref type="figure" target="#fig_1">3b</ref>). We opted for a circular treemap over a traditional treemap because, for the two hierarchy levels required to display the datasets in this work, the circular treemap reveals hierarchical structures and facilitates interaction between the levels more effectively.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="3.3.">Tasks</head><p>We generated six tasks for the experiment. A task has three dimensions: a city, an attribute level for the vertical context, and a dataset. (T5), and Munich-140-UBA (T6). Each task features three types of questions: q1-q3 all deal with retrieving specific attribute values, q4 is about counting the number of attributes belonging to a category, and q5 is about listing all thematic categories of attributes available for a city. Adapting Bertin <ref type="bibr" target="#b25">[26]</ref>'s distinction to the current context, we can distinguish questions about a single element (elementary level of reading), questions about a group of elements (intermediate level of reading), and questions about the whole set of visual elements (overall or global level of reading). q1-q3 correspond to the elementary level of reading, q4 touches the intermediate level of reading, and q5 addresses the global level of reading of the dataset at hand. The order of the questions (q1-q5) remained identical for all participants during the study. We provide two examples of tasks below (T1, T4). A description of the remaining tasks (T2, T3, T5, T6) can be found in the supplementary material, Section 7. Task (T1) is described as follows (Dortmund, 60 attributes, DBpedia).</p><p>specific attribute values • q1: What is the lowest temperature in Dortmund for September? • q2: What is the recorded highest temperature in Dortmund for May? • q3: Who is the leader of Dortmund (Leader Name)?</p><p>overview (count of attributes per category) • q4: How many attributes belong to the 'Weather' category? overview (attribute categories) • q5: What are the attribute categories for Dortmund that you can access through this approach?</p><p>Task (T4) is described as follows (Hamburg, 200 attributes, UBA).</p><p>specific attribute values • q1: What is the monthly maximum (μg/m³) of "Ozone (O3)" recorded in the "Hamburg Sternschanze" station for April? • q2: What is the monthly maximum (μg/m³) of "Nitrogen dioxide (NO2)" recorded in the "Hamburg Max-Brauer-Allee II (Straße)" station for October?. • q3: What is the monthly average (μg/m³) of "Fine dust (PM10)" recorded in the "Hamburg</p><p>Habichtstrasse" station for December? overview (count of attributes per category) • q4: How many data records (vertical attributes) are available for the air pollutant "Fine dust (PM10)"? overview (attribute categories) • q5: What are the categories of air pollutants that exist in Hamburg city?</p><p>The experiment followed a within-group design. The order of the visualization approaches and of the tasks was counterbalanced. The randomization and distribution of the subjects across conditions helped collect 18 data points per visualization approach and 9 data points per attribute level. Additional details about the randomization strategy are shown in the supplementary material, Section 7. Figure <ref type="figure" target="#fig_2">4</ref> shows all experiment steps, including the tasks.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="3.4.">Procedure</head><p>The experiment was held online (Google Meet) and was conducted each time with one participant and one examiner (the first author). The procedure started with a brief explanation of the experiment's goals. Then the participants were asked to provide a video consent before proceeding with the experimental tasks. Afterwards, participants filled in a background questionnaire about personal details, computer literacy, familiarity with web maps, Leaflet.js marker patterns, and the D3.js zoomable circle-packing visualization approach. Once the background questionnaire was completed, the participants performed three tasks using a different visualization approach each time to find information about one of the ten cities (Figure <ref type="figure" target="#fig_2">4</ref>). The examiner only observed the entire process. Upon completion of each task, participants were asked to answer one question related to the enjoyment <ref type="bibr" target="#b26">[27]</ref> of the visualization approach and three questions selected from the USE questionnaire <ref type="bibr" target="#b27">[28,</ref><ref type="bibr" target="#b28">29]</ref> to measure usefulness, satisfaction and ease of use on a 7-point Likert scale. The three questions selected were: "X makes the things I want to accomplish easier to get done" (Question UU5, Usefulness); "I don't notice any inconsistencies as I use X" (Question UE8, Ease of Use); and "I am satisfied with X" (Question US1, Satisfaction), where X refers to the visualization approach, to find out the extent to which X helps users answer the questions considered (UU5), smoothly navigate the attribute values (UE8) and brings about satisfaction in the process (US1). At the end of the session, the participants were asked to answer three questions: 'Considering the three visualization approaches you've interacted with, could you please rank them in order of preference based on which one you found most effective in helping you answer the questions?', 'Could you please provide reasons for ranking them?' And 'Do you have any suggestions regarding further improvements for the Web Application?'. All answers to questions were recorded through the LimeSurvey platform, which was also used to record the time participants took to answer specific questions. The experiment was pilot-tested with two participants and approved by the institutional ethics board.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="3.5.">Participants</head><p>The study involved 18 participants (6F, 12M), which were recruited through word-of-mouth. Participation was voluntary and the participants were not compensated for their participation. Their age distribution varied: (12/18) participants fell within the age range of 21 to 30 years, while (4/18) participants were between 31 and 40. Additionally, there was (1/18) participant in the age groups of 41-50 and 51-60 respectively. Regarding computer literacy, the participants reported varying levels of proficiency, with (2/18) participants self-identifying as beginners, (7/18) as intermediate, and (9/18) as advanced users. The familiarity with Leaflet.js markers and D3 zoomable circle packing also exhibited a range of expertise among the participants. Specifically, (1/18) participants were highly familiar with Leaflet.js marker patterns, while (8/18) participants reported moderate familiarity and (9/18) participants indicated no familiarity. The familiarity distribution was similar for D3.js zoomable circle packing, indicating a diverse range of expertise levels within the participant pool. All participants used their own laptops with one screen to complete the study and confirmed that their screen size was between 13 and 27 inches, to keep the experimental setup somewhat similar.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="4.">Results</head><p>We now present the experiment's results, starting with the outcomes of the quantitative analysis, before proceeding with the qualitative feedback.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="4.1.">Results of the pairwise comparison of the three visualization approaches</head><p>Figure <ref type="figure" target="#fig_3">5</ref> shows the similarities and differences observed across the visualization approaches and the attribute levels. The Map+Circular Treemap approach yielded the best outcomes in most cases (it was better than at least one of the other two in 32 of all 70 comparison scenarios), followed by the Map+Markers approach (better 9 times) and the Map+Table approach at last (favourable 8 times). We found no significant advantage for any visualization approach in 27 of the 70 comparison scenarios (Figure <ref type="figure" target="#fig_3">5</ref>). A detailed presentation of the results is shown in Appendix A (Tables <ref type="table" target="#tab_1">4 to 13</ref>).</p><p>• Efficiency [elementary-level]: while the data did not suggest any significant difference cross-attribute-levels, the Map+Table approach recommends itself for the attribute levels 90 and 105, while the Map+Markers approach seems best for the attribute levels 180 and 200 (see also Table <ref type="table">4</ref>). • Efficiency [intermediate-level]: the three approaches are comparable overall, but Map+Table may be preferable at attribute level 105, while Map+Makers or Map+Circular Treemap may be advantageous at attribute level 60 (see also Table <ref type="table">5</ref>). • Efficiency [global-level]: Map+Circular Treemap is preferable at attribute level 60, Map+Table at attribute level 105, and Map+Makers may be a good option for attribute levels 105 and 180 (see also Table <ref type="table">6</ref>). • Effectiveness [elementary-level]: the approaches may be deemed comparable overall, but Map+Markers provided higher accuracy values at attribute level 60, while Map+Circular Treemap increased users' accuracy during question answering at attribute level 200 (see also Table <ref type="table">7</ref>). • Effectiveness [intermediate-level]: the Map+Circular Treemap approach recommends itself here overall, and at attribute levels 105 and 180. The Map+Markers approach seems best at attribute level 90 (see also Table <ref type="table">8</ref>). • Effectiveness [global-level]: the Map+Circular Treemap approach seems best at levels 60, 140 and 180, and the Map+Markers approach helped users increase their answers' accuracy at level 90 (see also Table <ref type="table">9</ref>). • Perceived enjoyment: there seems to be a clear user preference for the Map+Circular Treemap approach (see also Table <ref type="table">10</ref>). • Perceived usefulness: there seems to be a clear user preference for the Map+Circular Treemap approach both overall and across all attribute levels (see also Table <ref type="table">11</ref>). • Perceived satisfaction: here also, the Map+Circular Treemap approach seems to have provided more satisfaction to participants during the question-answering tasks (see also Table <ref type="table" target="#tab_0">12</ref>). • Perceived ease of use: overall, the easiest approaches to use according to the participants were either the Map+Circular Treemap or the Map+Table approach. The Map+Makers approach was perceived as slightly easier to use by participants at attribute level 60 only (see also Table <ref type="table" target="#tab_1">13</ref>).</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="4.2.">Participants' subjective preference</head><p>Here, the Map+Circular Treemap approach emerged as the most favoured by participants, garnering 15 out of 18 votes as Rank 1 (Table <ref type="table" target="#tab_1">3</ref>). In contrast, the Map+Markers approach received the least preference with 16 out of 18 votes as Rank 3. As for the reasons for their ranking provided by the users, the key advantages mentioned were:</p><p>• Map+Circular Treemap: Users can zoom in for a detailed inspection of specific attributes and easily zoom out to transition to other attributes. The attributes are organized into clusters, grouping similar ones in close proximity. This systematic arrangement enhances navigation, making it easy to locate specific attributes efficiently. • Map+Markers: the participants did not mention any specific advantage.</p><p>• Map+Table: Users can navigate through attributes by employing a rapid scrolling feature, allowing them to efficiently move through the content and explore different attributes without delays.</p><p>The key disadvantages mentioned were:</p><p>• Map+Circular Treemap: the participants did not mention any specific disadvantage.</p><p>• Map+Markers: To locate a specific attribute, users need to click on multiple markers, as it can be challenging to distinguish the desired attribute from others in the same category. • Map+Table: The list view arrangement makes it difficult to identify attribute counts and discern the attribute categories easily. </p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="5.">Discussion</head></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="5.1.">Implications</head><p>The display of attribute values as a table is currently the most common -and straightforwardway of presenting vertical context information (e.g. DBpedia Page, Table <ref type="table">1</ref>). The preliminary observations from this study suggest that there are usually better alternatives, both in terms of maximizing utilitarian (e.g. efficiency, effectiveness) and hedonic objectives (e.g. perceived user satisfaction). Another consistent observation of the study is that both attribute level and question types matter when comparing the merits of the different visualisation approaches. Since this study is a first of this kind, it is still unclear at this point whether the variability observed can be truly attributed to the performance of an approach at an attribute level, or to the current (limited) sample of participants. Still, the study has highlighted that attribute level may be a confounding variable for similar experiments in the future, and this suggests that this dimension should be explicitly controlled for. Moving forward, there are two possible ways of reusing the results from Figure <ref type="figure" target="#fig_3">5</ref>: reading a column to find out the most suitable visualization at an attribute level or reading a line to find the best suitable row to maximize the outcomes for a dependent variable (e.g. effectiveness, perceived ease of use). These two ways of reading can be used by visualization designers in the future to formulate hypotheses, as they use any of the three visualization approaches considered in the current work as a baseline. Finally, as mentioned in <ref type="bibr" target="#b29">[30]</ref>, spatial data collection, processing and sharing is a common thread of various disciplines within the Earth System Sciences. Hence, the observations made here about vertical context visualization are relevant to ongoing efforts to establish (national) infrastructures for the Earth System Sciences.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="5.2.">Limitations</head><p>The prototype was designed exclusively for desktop-size screens (e.g. personal computers) and</p><p>is not yet optimized for use on mobile devices such as phones and tablets. Hence, no claim can be made as to the generalizability of the results to these devices. Another limitation of the study was the relatively small number of participants and their homogeneous backgrounds. This was necessary because of the exploratory nature of the study, but a larger-scale study would be needed, with a more diversified user base, in follow-up work to learn about the applicability of the results to different user groups. At last, all three techniques overlay the vertical context information on top of the location selected. While this has the advantage that -in the context of the navigation -the location for which the vertical context is currently visualized is unambiguous, this comes at the cost of the occlusion of the map. An alternative worth considering would be the juxtaposition of the vertical context display and the map (i.e. placing the vertical context display alongside the map). This would come at the extra cost of designing effective location emphasis techniques to highlight the current location unambiguously but is worth further investigation in future work.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="5.3.">Future work</head><p>We have mentioned three key requirements of visualizations of the vertical context of geographic locations in Section 2: communicate the spatial context (R1), enable intuitive and effective navigation through the wealth of attributes and their values (R2), and enable the traversal of paths between different datasets, and paths between properties of the same dataset (R3, a.k.a. follow-your-nose principle). The three techniques in this work addressed R1 (through the map) and R2 (through either the  <ref type="bibr" target="#b30">[31,</ref><ref type="bibr" target="#b31">32]</ref>) would be equally effective in this context, if not more effective. Furthermore, the three approaches have in common that attribute information is displayed in a popup after clicking on the map. Given the necessity for at least two views for the display of vertical context information, geodashboards (i.e. multiple-view systems of geographic data, arranged on a single screen so that the information can be perceived at a glance <ref type="bibr" target="#b32">[33]</ref>) may be considered to fulfil the three requirements as well. Besides, Figure <ref type="figure" target="#fig_3">5</ref> has shown that attribute levels matter, hence scalability across several attribute levels needs more scrutiny. In addition, the work only tested the visualization approaches for up to 200 attribute values. The extent to which the observations hold for even greater levels of attribute values also needs to be investigated in future work. At last, we mentioned in Section 1 that, beyond simple question-answering about attribute values at a location, one higher-level goal of vertical context exploration is the formulation of spatial hypotheses. The extent to which existing and novel visualization techniques support that goal would need systematic testing in future work.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="6.">Conclusion</head><p>There are two types of contextual information related to a geographical location: the vertical context (all things known about a location) and the horizontal context (all things known about surrounding locations to a location). While linked data is suitable to represent contextual information in general and the vertical context of geographic locations in particular, we still lack means to help users explore this vertical context visually, and guidelines for designers of vertical context visualizations. This work has provided an empirical comparison of three approaches (map+table, map+marker, map+circular treemap) to address this gap. The merits of the approaches were compared for question-answering tasks involving 60 to 200 attribute values. The map+circular treemap approach yielded the best outcomes in most cases, followed by the map+markers approach, and both can be used as a starting point in further investigations of visualizations that help users explore all that is known about a place.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="7.">Supplementary material</head><p>The supplementary material showing the randomization approach during the experiment, all tasks completed by the participants, as well as the data collected during the experiment, is available at https://doi.org/10.6084/m9.figshare.26264594. The code of the prototype is available on GitHub (https://github.com/Prasadmadhusanka/VerticalGeoVis-prototype).</p></div><figure xmlns="http://www.tei-c.org/ns/1.0" xml:id="fig_0"><head>Figure 1 :Figure 2 :</head><label>12</label><figDesc>Figure 1: Visualization of the vertical context for Dortmund, using the map+table approach.</figDesc></figure>
<figure xmlns="http://www.tei-c.org/ns/1.0" xml:id="fig_1"><head>Figure 3 :</head><label>3</label><figDesc>Figure 3: Visualization of the vertical context for Dortmund, using the map+circulartreemap approach: (a) overview of available attributes for the DBpedia data; (b) Zoom on the Fine-dust value for the Dortmund-Evin station in June (UBA Data).</figDesc><graphic coords="7,96.58,93.05,200.01,159.62" type="bitmap" /></figure>
<figure xmlns="http://www.tei-c.org/ns/1.0" xml:id="fig_2"><head>Figure 4 :</head><label>4</label><figDesc>Figure 4: Steps followed by the participants during the experiment.</figDesc><graphic coords="8,89.29,84.19,416.69,112.54" type="bitmap" /></figure>
<figure xmlns="http://www.tei-c.org/ns/1.0" xml:id="fig_3"><head>Figure 5 :</head><label>5</label><figDesc>Figure 5: Summary of the differences observed per condition regarding the dependent variables. Two colours in a cell should be read "AND", e.g. for efficiency at attribute level 60 [question type: intermediatelevel], map+markers was better than the other two techniques at least once, and map+circular treemap was better than the other two techniques at least once. That is, map+table was worse than the other two techniques for efficiency at attribute level 60.</figDesc><graphic coords="10,95.17,87.58,416.70,225.94" type="bitmap" /></figure>
<figure xmlns="http://www.tei-c.org/ns/1.0" type="table" xml:id="tab_0"><head>Table 2</head><label>2</label><figDesc>Datasets used during the experiment, along with the exact number of attributes extracted for a location and the attribute level for which they were used during the experiment.</figDesc><table><row><cell>City</cell><cell cols="4">DBpedia dataset Attribute count Attribute level Attribute count Level of attributes UBA dataset</cell></row><row><cell>Berlin</cell><cell>103</cell><cell>90</cell><cell>192</cell><cell>180</cell></row><row><cell>Hamburg</cell><cell>110</cell><cell>105</cell><cell>204</cell><cell>200</cell></row><row><cell>Munich</cell><cell>113</cell><cell>105</cell><cell>168</cell><cell>140</cell></row><row><cell>Cologne</cell><cell>112</cell><cell>105</cell><cell>204</cell><cell>200</cell></row><row><cell cols="2">Frankfurt am Main 114</cell><cell>105</cell><cell>204</cell><cell>200</cell></row><row><cell>Stuttgart</cell><cell>113</cell><cell>105</cell><cell>144</cell><cell>140</cell></row><row><cell>Düsseldorf</cell><cell>115</cell><cell>105</cell><cell>60</cell><cell>60</cell></row><row><cell>Leipzig</cell><cell>108</cell><cell>105</cell><cell>108</cell><cell>105</cell></row><row><cell>Dortmund</cell><cell>64</cell><cell>60</cell><cell>60</cell><cell>60</cell></row><row><cell>Essen</cell><cell>90</cell><cell>90</cell><cell>120</cell><cell>105</cell></row></table></figure>
<figure xmlns="http://www.tei-c.org/ns/1.0" type="table" xml:id="tab_1"><head>Table 3</head><label>3</label><figDesc>Participants' feedback about their preferred approach.</figDesc><table><row><cell cols="4">Visualization Approach Rank 1 Rank 2 Rank 3</cell></row><row><cell>Map+Table</cell><cell>3</cell><cell>13</cell><cell>2</cell></row><row><cell>Map+Markers</cell><cell>0</cell><cell>2</cell><cell>16</cell></row><row><cell cols="2">Map+Circular Treemap 15</cell><cell>3</cell><cell>0</cell></row></table></figure>
<figure xmlns="http://www.tei-c.org/ns/1.0" type="table" xml:id="tab_2"><head></head><label></label><figDesc>table, the marker, or the circular treemap). Hence, an open question is how to address R3 through existing or new visualization approaches. Given the number of attributes to display, the categorization of content comes in handy. Hence, this work tested circular treemaps, which are only one way of visualizing hierarchical data, to display the attribute values. It is an open question whether or not alternative ways of visualizing hierarchical data (for examples, see</figDesc><table /></figure>
		</body>
		<back>

			<div type="acknowledgement">
<div xmlns="http://www.tei-c.org/ns/1.0"><head>Acknowledgments</head><p>The work has been partly funded by the European Commission through the Erasmus Mundus Master in Geospatial Technologies (Erasmus+/Erasmus Mundus program, project no. 101049796, http://mastergeotech.info/) and the German Research Foundation through the project NFDI4Earth (DFG project no. 460036893, https://www.nfdi4earth.de/) within the German National Research Data Infrastructure (NFDI, https://www.nfdi.de/).</p></div>
			</div>

			<div type="annex">
<div xmlns="http://www.tei-c.org/ns/1.0"><head>A. Appendix -Detailed results</head><p>This section presents detailed results about the pairwise comparison of the different approaches across all dependent variables. The R package bootES <ref type="bibr" target="#b33">[34]</ref> was used for the analysis. The following applies to all tables. The first two columns of the tables represent the two visualization approaches being compared. The third column represents the mean value difference between the two groups: 𝑀𝑒𝑎𝑛 (𝐺𝑟𝑜𝑢𝑝1) -𝑀𝑒𝑎𝑛 (𝐺𝑟𝑜𝑢𝑝2) . Positive values for both the lower and upper confidence interval bounds (𝐶𝐼 𝐿𝑜𝑤 and 𝐶𝐼 𝐻 𝑖𝑔ℎ values) suggest that the visualization in the first column produced significantly higher values than the one in the second column. Conversely, negative values for both 𝐶𝐼 𝐿𝑜𝑤 and 𝐶𝐼 𝐻 𝑖𝑔ℎ indicate that the visualization in the second column resulted in significantly higher values than the one in the first column. A statistically significant difference between the two groups is implied when the confidence interval of the mean difference does not enclose zero. This is highlighted through a light yellow coloured background in the tables. The bias is the difference between the mean of the resamples and the mean of the original sample. The SE (standard error) is the standard deviation of the resampled means <ref type="bibr" target="#b33">[34]</ref>. The number of resamples used in the analysis was N=5000.      </p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>Table 13</head><p>Pairwise comparison of the perceived ease of use of the visualization approaches. </p></div>			</div>
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