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In my previous posts, I discussed classical flow maps that use arrows of different width to encode flows between regions. This post presents an alternative take on visualizing flows, without any arrows. This style is inspired by Go with the Flow by Robert Radburn and Visualisation of origins, destinations and flows with OD maps by J. Wood et al.

migration

The starting point of this visualization is a classic OD matrix.

migration_raw_data

For my previous flow maps, I already converted this data into a more GIS-friendly format: a Geopackage with lines and information about the origin, destination and strength of the flow:

migration_attribute_table

In addition, I grabbed state polygons from Natural Earth Data.

At this point, we have 72 flow features and 9 state polygon features. An ordinary join in the layer properties won’t do the trick. We’d still be stuck with only 9 polygons.

Virtual layers to the rescue!

The QGIS virtual layers feature (Layer menu | Add Layer | Add/Edit Virtual Layer) provides database capabilities without us having to actually set up a database … *win!*

Using a classic SQL query, we can join state polygons and migration flows into a new virtual layer:

virtual_layer

The resulting virtual layer contains 72 polygon features. There are 8 copies of each state.

Now that the data is ready, we can start designing the visualization in the Print Composer.

This is probably the most manual step in this whole process: We need 9 map items, one for each mini map in the small multiples visualization. Create one and configure it to your liking, then copy and paste to create 8 more copies.

I’ve decided to arrange the map items in a way that resembles the actual geographic location of the state that is represented by the respective map, from the state of Vorarlberg (a proud QGIS sponsor by the way) in the south-west to Lower Austria in the north-east.

To configure which map item will represent the flows from which origin state, we set the map item ID to the corresponding state ID. As you can see, the map items are numbered from 1 to 9:

small_multiples_print_composer_init

Once all map items are set up, we can use the map item IDs to filter the features in each map. This can be implemented using a rule based renderer:

small_multiples_style_rules

The first rule will ensure that the each map only shows flows originating from a specific state and the second rule will select the state itself.

We configure the symbol of the first rule to visualize the flow strength. The color represents the number number of people moving to the respective district. I’ve decided to use a smooth gradient instead of predefined classes for the polygon fill colors. The following expression maps the feature’s weight value to a shade on the Viridis color ramp:

ramp_color( 'Viridis',
  scale_linear("weight",0,2000,0,1)
)

You can use any color ramp you like. If you want to use the Viridis color ramp, save the following code into an .xml file and import it using the Style Manager. (This color ramp has been provided by Richard Styron on rocksandwater.net.)

<!DOCTYPE qgis_style>
<qgis_style version="0">
  <symbols/>
    <colorramp type="gradient" name="Viridis">
      <prop k="color1" v="68,1,84,255"/>
      <prop k="color2" v="253,231,36,255"/>
      <prop k="stops" v="0.04;71,15,98,255:0.08;72,29,111,255:0.12;71,42,121,255:0.16;69,54,129,255:0.20;65,66,134,255:0.23;60,77,138,255:0.27;55,88,140,255:0.31;50,98,141,255:0.35;46,108,142,255:0.39;42,118,142,255:0.43;38,127,142,255:0.47;35,137,141,255:0.51;31,146,140,255:0.55;30,155,137,255:0.59;32,165,133,255:0.62;40,174,127,255:0.66;53,183,120,255:0.70;69,191,111,255:0.74;89,199,100,255:0.78;112,206,86,255:0.82;136,213,71,255:0.86;162,218,55,255:0.90;189,222,38,255:0.94;215,226,25,255:0.98;241,229,28,255"/>
    </colorramp>
  </colorramps>
</qgis_style>

If we go back to the Print Composer and update the map item previews, we see it all come together:

small_multiples_print_composer

Finally, we set title, legend, explanatory texts, and background color:

migration

I think it is amazing that we are able to design a visualization like this without having to create any intermediate files or having to write custom code. Whenever a value is edited in the original migration dataset, the change is immediately reflected in the small multiples.

Last time, I wrote about the little details that make a good flow map. The data in that post was made up and simpler than your typical flow map. That’s why I wanted to redo it with real-world data. In this post, I’m using domestic migration data of Austria.

Raw migration data

Raw migration data, line width scaled to flow strength

With 9 states, that makes 72 potential flow arrows. Since that’s too much to map, I’ve decided in a first step to only show flows with more than 1,000 people.

Following the recommendations mentioned in the previous post, I first designed a basic flow map where each flow direction is rendered as a black arrow:

migration_basic

Basic flow map

Even with this very limited number of flows, the map gets pretty crowded, particularly around the north-eastern node, the Austrian capital Vienna.

To reduce the number of incoming and outgoing lines at each node, I therefore decided to change to colored one-sided arrows that share a common geometry:

migration_twocolor

Colored one-sided arrows

The arrow color is determined automatically based on the arrow direction using the following expression:

CASE WHEN
 "weight" < 1000 THEN color_rgba( 0,0,0,0)
WHEN
 x(start_point( $geometry)) - x(end_point($geometry)) < 0
THEN
 '#1f78b4'
ELSE
 '#ff7f00'
END

The same approach is used to control the side of the one-sided arrow head. The arrow symbol layer has two “arrow type” options for rendering the arrow head: on the inside of the curve or on the outside. This means that, if we wouldn’t use a data-defined approach, the arrow head would be on the same side – independent of the line geometry direction.

CASE WHEN
 x(start_point( $geometry)) - x(end_point($geometry)) < 0
THEN
 1
ELSE
 2
END

Obviously, this ignores the corner case of start and end points at the same x coordinate but, if necessary, this case can be added easily.

Of course the results are far from perfect and this approach still requires manual tweaking of the arrow geometries. Nonetheless, I think it’s very interesting to see how far we can push the limits of data-driven styling for flow maps.

Give it a try! You’ll find the symbol and accompanying sample data on the QGIS resource sharing plugin platform:

resourcesharing_flowmap

In my previous post, I shared a flow map style that was inspired by a hand drawn map. Today’s post is inspired by a recent academic paper recommended to me by Radoslaw Panczak  and Thomas Gratier :

Jenny, B., Stephen, D. M., Muehlenhaus, I., Marston, B. E., Sharma, R., Zhang, E., & Jenny, H. (2016). Design principles for origin-destination flow maps. Cartography and Geographic Information Science, 1-15.

Jenny et al. (2016)  performed a study on how to best design flow maps. The resulting design principles are:

  • number of flow overlaps should be minimized;
  • sharp bends and excessively asymmetric flows should be avoided;
  • acute intersection angles should be avoided;
  • flows must not pass under unconnected nodes;
  • flows should be radially arranged around nodes;
  • quantity is best represented by scaled flow width;
  • flow direction is best indicated with arrowheads;
  • arrowheads should be scaled with flow width, but arrowheads for thin flows should be enlarged; and
  • overlaps between arrowheads and flows should be avoided.

Many of these points concern the arrangement of flow lines but I want to talk about those design principles that can be implemented in a QGIS line style. I’ve summarized the three core ideas:

  1. use arrow heads and scale arrow width according to flow,
  2. enlarge arrow heads for thin flows, and
  3. use nodes to arrange flows and avoid overlaps of arrow heads and flows

This slideshow requires JavaScript.

To get started, we can use a standard QGIS arrow symbol layer. To represent the flow value (“weight”) according to the first design principle, all arrow parameters are data-defined:

scale_linear("weight",0,10,0.1,3)

To enlarge the arrow heads for thin flow lines, as required by the second design principle, we can add a fixed value to the data-defined head length and thickness:

scale_linear("weight",0,10,0.1,1.5)+1.5

arrow_head_thickness

The main issue with this flow map is that it gets messy as soon as multiple arrows end at the same location. The arrow heads are plotted on top of each other and at some point it is almost impossible to see which arrow starts where. This is where the third design principle comes into play!

To fix the overlap issue, we can add big round nodes at the flow start and end points. These node buffers are both used to render circles on the map, as well as to shorten the arrows by cutting off a short section at the beginning and end of the lines:

difference(
  difference(
    $geometry,
    buffer( start_point($geometry), 10000 )
  ),
  buffer( end_point( $geometry), 10000 )
)

Note that the buffer values in this expression only produce appropriate results for line datasets which use a CRS in meters and will have to be adjusted for other units.

arrow_nodes

It’s great to have some tried and evaluated design guidelines for our flow maps. As always: Know your cartography rules before you start breaking them!

The QGIS map style I want to share with you today was inspired by a hand-drawn map by Philippe Rekacewicz that I saw on Twitter:

The look reminds me of conveyor belts, thus the name choice.

You can download the symbol and a small sample dataset by adding my repo to the QGIS Resource Sharing plugin.

resourcesharing_conveyor

The conveyor belt is a line symbol that makes extensive use of Geometry generators. One generator for the circle at the flow line start and end point, respectively, another generator for the belt, and a final one for the small arrows around the colored circles. The color and size of the circle are data defined:

conveyor_details

The collection also contains a sample Geopackage dataset which you can use to test the symbol immediately. It is worth noting that the circle size has to be specified in layer CRS units.

It’s great fun playing with the power of Geometry generator symbol layers and QGIS geometry expressions. For example, this is the expression for the final geometry that is used to draw the small arrows around colored circles:

line_merge( 
  intersection(
    exterior_ring( 
      convex_hull( 
        union( 
          buffer( start_point($geometry), "start_size" ),
          buffer( end_point($geometry), 500000 )
        )
      )
    ),
    exterior_ring( 
      buffer( start_point( $geometry), "start_size" )
    )
  )
)

The expression constructs buffer circles, the belt geometry (convex_hull around buffers), and finally extracts the intersecting part from the start circle and the belt geometry.

Hope you enjoy it!

It’s holiday season, why not share one of your own symbols with the QGIS community?

In the previous post, I presented an approach to generalize big trajectory datasets by extracting flows between cells of a data-driven irregular grid. This generalization provides a much better overview of the flow and directionality than a simple plot of the original raw trajectory data can. The paper introducing this method also contains more advanced visualizations that show cell statistics, such as the overall count of trajectories or the generalization quality. Another bit of information that is often of interest when exploring movement data, is the time of the movement. For example, at LBS2016 last week, M. Jahnke presented an application that allows users to explore the number of taxi pickups and dropoffs at certain locations:

By adopting this approach for the generalized flow maps, we can, for example, explore which parts of the research area are busy at which time of the day. Here I have divided the day into four quarters: night from 0 to 6 (light blue), morning from 6 to 12 (orange), afternoon from 12 to 18 (red), and evening from 18 to 24 (dark blue).

 (data credits: GeoLife project,

Aggregated trajectories with time-of-day markers at flow network nodes (data credits: GeoLife project, map tiles: Carto, map data: OSM)

The resulting visualization shows that overall, there is less movement during the night hours from midnight to 6 in the morning (light blue quarter). Sounds reasonable!

One implementation detail worth considering is which timestamp should be used for counting the number of movements. Should it be the time of the first trajectory point entering a cell, or the time when the trajectory leaves the cell, or some average value? In the current implementation, I have opted for the entry time. This means that if the tracked person spends a long time within a cell (e.g. at the work location) the trip home only adds to the evening trip count of the neighboring cell along the trajectory.

Since the time information stored in a PostGIS LinestringM feature’s m-value does not contain any time zone information, we also have to pay attention to handle any necessary offsets. For example, the GeoLife documentation states that all timestamps are provided in GMT while Beijing is in the GMT+8 time zone. This offset has to be accounted for in the analysis script, otherwise the counts per time of day will be all over the place.

Using the same approach, we could also investigate other variations, e.g. over different days of the week, seasonal variations, or the development over multiple years.

The possibility to easily share plugins with other users and discover plugins written by other community members has been a powerful feature of QGIS for many years.

The QGIS Resources Sharing plugin is meant to enable the same sharing for map design resources. It allows you to share collections of resources, including but not limited to SVGs, symbols, styles, color ramps, and processing scripts.

Using the Resource Sharing plugin is like using the Plugin Manager. Once installed, you are presented with a list of available resource collections for download. You will find that there are already some really nice collections, including nautical symbols, Mapbox Maki Icons, and my Google-like OSM road style.

resourcesharing_maki

By pressing Install, the resource collection is downloaded and you can have a look at the content using the Open folder button. In case of the Mapbox Maki Icon collection, it contains a folder of SVGs:

resourcesharing_folder

Using the new icons is as simple as opening the layer styling settings and selecting the Mapbox Maki Icons collection in the SVG group list:

resourcesharing_styling

Similarly, if you download the OSM Spatialite Googlemaps collection, its road line symbols are added to your existing list of available line symbols:

resourcesharing_roads2

By pressing the Open Library button, you get to the Style Manager where you can browse through all installed symbols and delete, rename, or categorize them.

resourcesharing_roads

The Resource Sharing plugin was developed by Akbar Gumbira during this year’s Google Summer of Code. The full documentation, including instructions for how to share your own symbols with the community, is available at www.akbargumbira.com/qgis_resources_sharing.

In the first part of the Movement Data in GIS series, I discussed some of the common issues of modeling movement data in GIS, followed by a recommendation to model trajectories as LinestringM features in PostGIS to simplify analyses and improve query performance.

Of course, we don’t only want to analyse movement data within the database. We also want to visualize it to gain a better understanding of the data or communicate analysis results. For example, take one trajectory:

(data credits: GeoLife project)

Visualizing movement direction is easy: just slap an arrow head on the end of the line and done. What about movement speed? Sure! Mean speed, max speed, which should it  be?

Speed along the trajectory, a value for each segment between consecutive positions.

With the usual GIS data model, we are back to square one. A line usually has one color and width. Of course we can create doted and dashed lines but that’s not getting us anywhere here. To visualize speed variations along the trajectory, we therefore split the original trajectory into its segments, 1429 in this case. Then we can calculate speed for each segment and use a graduated or data defined renderer to show the results:

trajectory_segment_features

Speed along trajectory: red = slow to blue = fast

Very unsatisfactory! We had to increase the number of features 1429 times just to show speed variations along the trajectory, even though the original single trajectory feature already contained all the necessary information and QGIS does support geometries with measurement values.

Starting from QGIS 2.14, we have an alternative way to deal with this issue. We can stick to the original single trajectory feature and render it using the new geometry generator symbol layer. (This functionality is also used under the hood of the 2.5D renderer.) Using the segments_to_lines() function, the geometry generator basically creates individual segment lines on the fly:

geomgenerator

Segments_to_lines( $geometry) returns a multi line geometry consisting of a line for every segment in the input geometry

Once this is set up, we can style the segments with a data-defined expression that determines the speed on the segment and returns the respective color along a color ramp:

segment_speed_color

Speed is calculated using the length of the segment and the time between segment start and end point. Then speed values from 0 to 50 km/h are mapped to the red-yellow-blue color ramp:

ramp_color(
  'RdYlBu',
  scale_linear(
    length( 
      transform(
	    geometry_n($geometry,@geometry_part_num),
		'EPSG:4326','EPSG:54027'
		)
    ) / (
      m(end_point(  geometry_n($geometry,@geometry_part_num))) -
      m(start_point(geometry_n($geometry,@geometry_part_num)))
    ) * 3.6,
    0,50,
    0,1
  )
)

Thanks a lot to @nyalldawson for all the help figuring out the details!

While the following map might look just like the previous one in the end, note that we now only deal with the original single line feature:

trajectory_geomgenerator

Similar approaches can be used to label segments or positions along the trajectory without having to break the original feature. Thanks to the geometry generator functionality, we can make direct use of the LinestringM data model for trajectory visualization.

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