Rendering large sets of trajectory lines gets messy fast. Different aggregation approaches have been developed to address this issue. However, most approaches, such as mobility graphs or generalized flow maps, cannot handle large input datasets. Building on M³ prototypes, the following approach can be used in distributed computing environments to extracts flows from large datasets. 

This is part 3 of “Exploring massive movement datasets”.

This flow extraction is based on a two-step process, conceptually similar to Andrienko flow maps: first, we extract M³ prototypes from the movement data. In the second step, we determine flows between these prototypes, including information about: distribution of travel speeds and number of observed transitions. The resulting flows can be visualized, for example, to explore the popularity of different paths of movement:

After the prototypes have been computed, the flow algorithm computes transitions between pairs of prototypes. An object moving from prototype A to prototype B triggers an update of the corresponding flow. To allow for distributed processing, each node in the distributed computing environment needs a copy of the previously computed prototypes. Additionally, the raw movement data records need to be converted into trajectories. Afterwards, each trajectory is processed independently, going through its records in chronological order:

1. Find the best matching prototype for the current record
2. Ensure that the distance to the match is below the distance threshold and that the matched prototype is different from the previous prototype
3. Get or create the flow between the two prototypes
4. Ensure that the prototype and flow directions are a good match for the current record’s direction
5. Update the flow properties: travel speed and number of transitions, as well as the previous prototype reference

This approach scales to large datasets since only the prototypes, the (intermediate) flow results, and the trajectory currently being worked on have to be kept in memory for each iteration. However, this algorithm does not allow for continuous updates. Flows would have to be recomputed (at least locally) whenever prototypes changed. Therefore, the algorithm does not support exploration of continuous data streams. However, it can be used to explore large historical datasets:

Flow example: passenger vessel speed patterns showing mean flow speeds (line color: darker colors equal higher speeds) and speed variation (line width)

If you want to dive deeper, here’s the full paper:

[1] Graser, A., Widhalm, P., & Dragaschnig, M. (2020). Extracting Patterns from Large Movement Datasets. GI_Forum – Journal of Geographic Information Science, 1-2020, 153-163. doi:10.1553/giscience2020_01_s153.

This post is part of a series. Read more about movement data in GIS.

Visualizations of raw movement data records, that is, simple point maps or point density (“heat”) maps provide very limited data exploration capabilities. Therefore, we need clever aggregation approaches that can actually reveal movement patterns. Many existing aggregation approaches, however, do not scale to large datasets. We therefore developed the M³ Massive Movement Model [1] which supports distributed computing environments and can be incrementally updated with new data.

This is part 1 of “Exploring massive movement datasets”.

Using state-of-the-art big gespatial tools, such as GeoMesa, it is quite straightforward to ingest, index and query large amounts of timestamped location records. Thanks to GeoMesa’s GeoServer integration, it is also possible to publish GeoMesa tables as WMS and WFS which can be visualized in QGIS and explored (for more about GeoMesa, see Scalable spatial vector data processing ).So far so good! But with this basic setup, we only get point maps and point density maps which don’t tell us much about important movement characteristics like speed and direction (particularly if the reporting interval between consecutive location records is irregular). Therefore, we developed an aggregation method which models local record density, as well as movement speed and direction which we call M³.

For distributed computation, we need to split large datasets into chunks. To build models of local movement characteristics, it makes sense to create spatial or spatiotemporal chunks that can be processed independently. We therefore split the data along a regular grid but instead of computing one average value per grid cell, we create a flexible number of prototypes that describe the movement in the cell. Each prototype models a location, speed, and direction distribution (mean and sigma).

In our paper, we used M³ to explore ship movement data. We turned roughly 4 billion AIS records into prototypes:

M³ for ship movement data during January to December 2017 (3.9 billion records turned into 3.4 million prototypes; computing time: 41 minutes)

The above plot really only gives a first impression of the spatial distribution of ship movement records. The real value of M³ becomes clearer when we zoom in and start exploring regional patterns. Then we can discover vessel routes, speeds, and movement directions:

The prototype details on the right side, in particular, show the strength of the prototype idea: even though the grid cells we use are rather large, the prototypes clearly form along vessel routes. We can see exactly where these routes are and what speeds ship travel there, without having to increase the grid resolution to impractical values. Slow prototypes with high direction sigma (red+black markers) are clear indicators of ports. The marker size shows the number of records per prototype and thus helps distinguish heavily traveled routes from minor ones.

M³ is implemented in Spark. We read raw location records from GeoMesa and write prototypes to GeoMesa. All maps have been created in QGIS using prototype data published as GeoServer WFS.

If you want to dive deeper, here’s the full paper:

[1] Graser. A., Widhalm, P., & Dragaschnig, M. (2020). The M³ massive movement model: a distributed incrementally updatable solution for big movement data exploration. International Journal of Geographical Information Science. doi:10.1080/13658816.2020.1776293.

This post is part of a series. Read more about movement data in GIS.

We’ve done it again!

This time, Daniel O’Donohue and I talked about spatiotemporal data in GIS, including – of course – Time Manager, the new QGIS temporal support, and MovingPandas.

Since we need both data and tools to do spatiotemporal analysis, we also talked about file formats and data models. If you want to know more about data models for spatiotemporal (especially movement) data, have a look at the latest discussion paper I wrote together with Esteban Zimányi (MobilityDB) and Krishna Chaitanya Bommakanti (mobilitydb-sqlalchemy):

• Graser, A., Zimányi, E., & Bommakanti, K.C. (2020). From Simple Features to Moving Features and Beyond? arXiv:2006.16900.

Data model of the Moving Features standard illustrated with two moving points A and B. Stars mark changes in attribute values. (Source: Graser et al. (2020))

For more details and all options for listening to this podcast, visit mapscaping.com.

To explore travel patterns like origin-destination relationships, we need to identify individual trips with their start/end locations and trajectories between them. Extracting these trajectories from large datasets can be challenging, particularly if the records of individual moving objects don’t fit into memory anymore and if the spatial and temporal extent varies widely (as is the case with ship data, where individual vessel journeys can take weeks while crossing multiple oceans). 

This is part 2 of “Exploring massive movement datasets”.

Roughly speaking, trip trajectories can be generated by first connecting consecutive records into continuous tracks and then splitting them at stops. This general approach applies to many different movement datasets. However, the processing details (e.g. stop detection parameters) and preprocessing steps (e.g. removing outliers) vary depending on input dataset characteristics.

For example, in our paper [1], we extracted vessel journeys from AIS data which meant that we also had to account for observation gaps when ships leave the observable (usually coastal) areas. In the accompanying 10-minute talk, I went through a 4-step trajectory exploration workflow for assessing our dataset’s potential for travel time prediction:

Click to watch the recorded talk

Like the M³ prototype computation presented in part 1, our trajectory aggregation approach is implemented in Spark. The challenges are both the massive amounts of trajectory data and the fact that operations only produce correct results if applied to a complete and chronologically sorted set of location records.This is challenging because Spark core libraries (version 2.4.5 at the time) are mostly geared towards dealing with unsorted data. This means that, when using high-level Spark core functionality incorrectly, an aggregator needs to collect and sort the entire track in the main memory of a single processing node. Consequently, when dealing with large datasets, out-of-memory errors are frequently encountered.

To solve this challenge, our implementation is based on the Secondary Sort pattern and on Spark’s aggregator concept. Secondary Sort takes care to first group records by a key (e.g. the moving object id), and only in the second step, when iterating over the records of a group, the records are sorted (e.g. chronologically). The resulting iterator can be used by an aggregator that implements the logic required to build trajectories based on gaps and stops detected in the dataset.

If you want to dive deeper, here’s the full paper:

[1] Graser, A., Dragaschnig, M., Widhalm, P., Koller, H., & Brändle, N. (2020). Exploratory Trajectory Analysis for Massive Historical AIS Datasets. In: 21st IEEE International Conference on Mobile Data Management (MDM) 2020. doi:10.1109/MDM48529.2020.00059

This post is part of a series. Read more about movement data in GIS.

Exploring large movement datasets is hard because visualizations of movement data quickly get cluttered and hard to interpret. Therefore, we need to aggregate the data. Density maps are commonly used since they are readily available and quick to compute but they provide only very limited insight. In contrast, meaningful aggregations that can help discover patterns are computationally expensive and therefore slow to generate.

This post serves as a starting point for a series of new approaches to exploring massive movement data. This series will summarize parts of my PhD research and – for those of you who are interested in more details – there will be links to the relevant papers.

Starting with the raw location records, we use different forms of aggregation to learn more about what information a movement dataset contains:

1. Summarizing movement using prototypes by aggregating raw location records using our flexible M³ Massive Movement Model [1]
2. Generating trajectories by connecting consecutive records into continuous tracks and splitting them into meaningful trajectories [2]
3. Extracting flows by summarizing trajectory-based transitions between prototypes [3]

Besides clever aggregation approaches, massive movement datasets also require appropriate computing resources. To ensure that we can efficiently explore large datasets, we have implemented the above mentioned aggregation steps in Spark. This enables us to run the computations on general purpose computing clusters that can be scaled according to the dataset size.

In the next post, we’ll look at how to summarize movement using M³ prototypes. So stay tuned!

But if you don’t want to wait, these are the original papers:

[1] Graser. A., Widhalm, P., & Dragaschnig, M. (2020). The M³ massive movement model: a distributed incrementally updatable solution for big movement data exploration. International Journal of Geographical Information Science. doi:10.1080/13658816.2020.1776293.
[2] Graser, A., Dragaschnig, M., Widhalm, P., Koller, H., & Brändle, N. (2020). Exploratory Trajectory Analysis for Massive Historical AIS Datasets. In: 21st IEEE International Conference on Mobile Data Management (MDM) 2020. doi:10.1109/MDM48529.2020.00059
[3] Graser, A., Widhalm, P., & Dragaschnig, M. (2020). Extracting Patterns from Large Movement Datasets. GI_Forum – Journal of Geographic Information Science, 1-2020, 153-163. doi:10.1553/giscience2020_01_s153.

This post is part of a series. Read more about movement data in GIS.

QGIS Temporal Controller is a powerful successor of TimeManager. Temporal Controller is a new core feature of the current development version and will be shipped with the 3.14 release. This post demonstrates two key advantages of this new temporal support:

1. Expression support for defining start and end timestamps
2. Integration into the PyQGIS API

These features come in very handy in many use cases. For example, they make it much easier to create animations from folders full of GPS tracks since the files can now be loaded and configured automatically:

Script & Temporal Controller in action (click for full resolution)

All tracks start at the same location but at different times. (Kudos for Andrew Fletcher for recordings these tracks and sharing them with me!) To create an animation that shows all tracks start simultaneously, we need to synchronize them. This synchronization can be achieved on-the-fly by subtracting the start time from all track timestamps using an expression:

directory = "E:/Google Drive/QGIS_Course/05_TimeManager/Example_Dayrides/"

def load_and_configure(filename):
    path = os.path.join(directory, filename)
    uri = 'file:///' + path + "?type=csv&escape=&useHeader=No&detectTypes=yes"
    uri = uri + "&crs=EPSG:4326&xField=field_3&yField=field_2"
    vlayer = QgsVectorLayer(uri, filename, "delimitedtext")
    QgsProject.instance().addMapLayer(vlayer)

    mode = QgsVectorLayerTemporalProperties.ModeFeatureDateTimeStartAndEndFromExpressions
    expression = """to_datetime(field_1) -
    make_interval(seconds:=minimum(epoch(to_datetime("field_1")))/1000)
    """

    tprops = vlayer.temporalProperties()
    tprops.setStartExpression(expression)
    tprops.setEndExpression(expression) # optional
    tprops.setMode(mode)
    tprops.setIsActive(True)

for filename in os.listdir(directory):
    if filename.endswith(".csv"):
        load_and_configure(filename)

The above script loads all CSV files from the given directory (field_1 is the timestamp, field_2 is y, and field_3 is x), enables sets the start and end expression as well as the corresponding temporal control mode and finally activates temporal rendering. The resulting config can be verified in the layer properties dialog:

To adapt this script to other datasets, it’s sufficient to change the file directory and revisit the layer uri definition as well as the field names referenced in the expression.

This post is part of a series. Read more about movement data in GIS.

TimeManager turns 10 this year. The code base has made the transition from QGIS 1.x to 2.x and now 3.x and it would be wrong to say that it doesn’t show ;-)

Now, it looks like the days of TimeManager are numbered. Four days ago, Nyall Dawson has added native temporal support for vector layers to QGIS. This is part of a larger effort of adding time support for rasters, meshes, and now also vectors.

The new Temporal Controller panel looks similar to TimeManager. Layers are configured through the new Temporal tab in Layer Properties. The temporal dimension can be used in expressions to create fancy time-dependent styles:

TimeManager Geolife demo converted to Temporal Controller (click for full resolution)

Obviously, this feature is brand new and will require polishing. Known issues listed by Nyall include limitations of supported time fields (only fields with datetime type are supported right now, strings cannot be used) and worse performance than TimeManager since features are filtered in QGIS rather than in the backend.

If you want to give the new Temporal Controller a try, you need to install the current development version, e.g. qgis-dev in OSGeo4W.

Update from May 16:

Many of the limitations above have already been addressed.

Last night, Nyall has recorded a one hour tutorial on this new feature, enjoy:

This post introduces Holoviz Panel, a library that makes it possible to create really quick dashboards in notebook environments as well as more sophisticated custom interactive web apps and dashboards.

The following example shows how to use Panel to explore a dataset (a trajectory collection in this case) and different parameter settings (relating to trajectory generalization). All the Panel code we need is a dict that defines the parameters that we want to explore. Then we can use Panel’s interact function to automatically generate a dashboard for our custom plotting function:

import panel as pn

kw = dict(traj_id=(1, len(traj_collection)), 
          tolerance=(10, 100, 10), 
          generalizer=['douglas-peucker', 'min-distance'])
pn.interact(plot_generalized, **kw)

Click to view the resulting dashboard in full resolution:

The plotting function uses the parameters to generate a Holoviews plot. First it fetches a specific trajectory from the trajectory collection. Then it generalizes the trajectory using the specified parameter settings. As you can see, we can easily combine maps and other plots to visualize different aspects of the data:

def plot_generalized(traj_id=1, tolerance=10, generalizer='douglas-peucker'):
  my_traj = traj_collection.get_trajectory(traj_id).to_crs(CRS(4088))
  if generalizer=='douglas-peucker':
    generalized = mpd.DouglasPeuckerGeneralizer(my_traj).generalize(tolerance)
  else:
    generalized = mpd.MinDistanceGeneralizer(my_traj).generalize(tolerance)
  generalized.add_speed(overwrite=True)
  return ( 
    generalized.hvplot(
      title='Trajectory {} (tolerance={})'.format(my_traj.id, tolerance), 
      c='speed', cmap='Viridis', colorbar=True, clim=(0,20), 
      line_width=10, width=500, height=500) + 
    generalized.df['speed'].hvplot.hist(
      title='Speed histogram', width=300, height=500) 
    )

Trajectory collections and generalization functions used in this example are part of the MovingPandas library. If you are interested in movement data analysis, you should check it out! You can find this example notebook in the MovingPandas tutorial section.

We recently published a new paper on “Open Geospatial Tools for Movement Data Exploration” (open access). If you liked Movement data in GIS #26: towards a template for exploring movement data, you will find even more information about the context, challenges, and recent developments in this paper.

It also presents three open source stacks for movement data exploration:

1. QGIS + PostGIS: a combination that will be familiar to most open source GIS users
2. Jupyter + MovingPandas: less common so far, but Jupyter notebooks are quickly gaining popularity (even in the proprietary GIS world)
3. GeoMesa + Spark: for when datasets become too big to handle using other means

and discusses their capabilities and limitations:

This post is part of a series. Read more about movement data in GIS.

In December, I wrote about GeoPandas on Databricks. Back then, I also tried to get MovingPandas working but without luck. (While GeoPandas can be installed using Databricks’ dbutils.library.installPyPI("geopandas") this PyPI install just didn’t want to work for MovingPandas.)

Now that MovingPandas is available from conda-forge, I gave it another try and … *spoiler alert* … it works!

First of all, conda support on Databricks is in beta. It’s not included in the default runtimes. At the time of writing this post, “6.0 Conda Beta” is the latest runtime with conda:

Once the cluster is up and connected to the notebook, a quick conda list shows the installed packages:

Time to install MovingPandas! I went with a 100% conda-forge installation. This takes a looong time (almost half an hour)!

When the installs are finally done, it get’s serious: time to test the imports!

Success!

Now we can put the MovingPandas data structures to good use. But first we need to load some movement data:

Or course, the points in this GeoDataFrame can be plotted. However, the plot isn’t automatically displayed once plot() is called on the GeoDataFrame. Instead, Databricks provides a display() function to display Matplotlib figures:

MovingPandas also uses Matplotlib. Therefore we can use the same approach to plot the TrajectoryCollection that can be created from the GeoDataFrame:

These Matplotlib plots are nice and quick but they lack interactivity and therefore are of limited use for data exploration.

MovingPandas provides interactive plotting (including base maps) using hvplot. hvplot is based on Bokeh and, luckily, the Databricks documentation tells us that bokeh plots can be exported to html and then displayed using  displayHTML():

Of course, we could achieve all this on MyBinder as well (and much more quickly). However, Databricks gets interesting once we can add (Py)Spark and distributed processing to the mix. For example, “Getting started with PySpark & GeoPandas on Databricks” shows a spatial join function that adds polygon information to a point GeoDataFrame.

A potential use case for MovingPandas would be to speed up flow map computations. The recently added aggregator functionality (currently in master only) first computes clusters of significant trajectory points and then aggregates the trajectories into flows between these clusters. Matching trajectory points to the closest cluster could be a potential use case for distributed computing. Each trajectory (or each point) can be handled independently, only the cluster locations have to be broadcast to all workers.

Flow map (screenshot from MovingPandas tutorial 4_generalization_and_aggregation.ipynb)

This post is a follow-up to the draft template for exploring movement data I wrote about in my previous post. Specifically, I want to address step 4: Exploring patterns in trajectory and event data.

The patterns I want to explore in this post are clusters of trip origins. The case study presented here is an extension of the MovingPandas ship data analysis notebook.

The analysis consists of 4 steps:

1. Splitting continuous GPS tracks into individual trips
2. Extracting trip origins (start locations)
3. Clustering trip origins
4. Exploring clusters

Since I have already removed AIS records with a speed over ground (SOG) value of zero from the dataset, we can use the split_by_observation_gap() function to split the continuous observations into individual trips. Trips that are shorter than 100 meters are automatically discarded as irrelevant clutter:

traj_collection.min_length = 100
trips = traj_collection.split_by_observation_gap(timedelta(minutes=5))

The split operation results in 302 individual trips:

Passenger vessel trajectories are blue, high-speed craft green, tankers red, and cargo vessels orange. Other vessel trajectories are gray.

To extract trip origins, we can use the get_start_locations() function. The list of column names defines which columns are carried over from the trajectory’s GeoDataFrame to the origins GeoDataFrame:

 
origins = trips.get_start_locations(['SOG', 'ShipType']) 

The following density-based clustering step is based on a blog post by Geoff Boeing and uses scikit-learn’s DBSCAN implementation:

from sklearn.cluster import DBSCAN
from geopy.distance import great_circle
from shapely.geometry import MultiPoint

origins['lat'] = origins.geometry.y
origins['lon'] = origins.geometry.x
matrix = origins.as_matrix(columns=['lat', 'lon'])

kms_per_radian = 6371.0088
epsilon = 0.1 / kms_per_radian

db = DBSCAN(eps=epsilon, min_samples=1, algorithm='ball_tree', metric='haversine').fit(np.radians(matrix))
cluster_labels = db.labels_
num_clusters = len(set(cluster_labels))
clusters = pd.Series([matrix[cluster_labels == n] for n in range(num_clusters)])
print('Number of clusters: {}'.format(num_clusters))

Resulting in 69 clusters.

Finally, we can add the cluster labels to the origins GeoDataFrame and plot the result:

origins['cluster'] = cluster_labels

To analyze the clusters, we can compute summary statistics of the trip origins assigned to each cluster. For example, we compute a representative (center-most) point, count the number of trips, and compute the mean speed (SOG) value:

 
def get_centermost_point(cluster):
    centroid = (MultiPoint(cluster).centroid.x, MultiPoint(cluster).centroid.y)
    centermost_point = min(cluster, key=lambda point: great_circle(point, centroid).m)
    return Point(tuple(centermost_point)[1], tuple(centermost_point)[0])
centermost_points = clusters.map(get_centermost_point) 

The largest cluster with a low mean speed (indicating a docking or anchoring location) is cluster 29 which contains 43 trips from passenger vessels, high-speed craft, an an undefined vessel:

To explore the overall cluster pattern, we can plot the clusters colored by speed and scaled by the number of trips:

Besides cluster 29, this visualization reveals multiple smaller origin clusters with low speeds that indicate different docking locations in the analysis area.

Cluster locations with high speeds on the other hand indicate locations where vessels enter the analysis area. In a next step, it might be interesting to compute flows between clusters to gain insights about connections and travel times.

It’s worth noting that AIS data contains additional information, such as vessel status, that could be used to extract docking or anchoring locations. However, the workflow presented here is more generally applicable to any movement data tracks that can be split into meaningful trips.

For the full interactive ship data analysis tutorial visit https://mybinder.org/v2/gh/anitagraser/movingpandas/binder-tag

This post is part of a series. Read more about movement data in GIS.

In previous posts, I already wrote about Trajectools and some of the functionality it provides to QGIS Processing including:

• Creating trajectories from points
• Clipping trajectories by extent
• Splitting trajectories by date

There are also tools to compute heading and speed which I only talked about on Twitter.

Trajectools is now available from the QGIS plugin repository.

The plugin includes sample data from MarineCadastre downloads and the Geolife project.

Under the hood, Trajectools depends on GeoPandas!

If you are on Windows, here’s how to install GeoPandas for OSGeo4W:

1. OSGeo4W installer: install python3-pip
2. Environment variables: add GDAL_VERSION = 2.3.2 (or whichever version your OSGeo4W installation currently includes)
3. OSGeo4W shell: call C:\OSGeo4W64\bin\py3_env.bat
4. OSGeo4W shell: pip3 install geopandas (this will error at fiona)
5. From https://www.lfd.uci.edu/~gohlke/pythonlibs/#fiona: download Fiona-1.7.13-cp37-cp37m-win_amd64.whl
6. OSGeo4W shell: pip3 install path-to-download\Fiona-1.7.13-cp37-cp37m-win_amd64.whl
7. OSGeo4W shell: pip3 install geopandas
8. (optionally) From https://www.lfd.uci.edu/~gohlke/pythonlibs/#rtree: download Rtree-0.8.3-cp37-cp37m-win_amd64.whl and pip3 install it

If you want to use this functionality outside of QGIS, head over to my movingpandas project!

Yesterday, I learned about a cool use case in data-driven agriculture that requires dealing with delayed measurements. As Bert mentions, for example, potatoes end up in the machines and are counted a few seconds after they’re actually taken out of the ground:

Therefore, in order to accurately map yield, we need to take this temporal offset into account.

We need to make sure that time and location stay untouched, but need to shift the potato count value. To support this use case, I’ve implemented apply_offset_seconds() for trajectories in movingpandas:

    def apply_offset_seconds(self, column, offset):
        self.df[column] = self.df[column].shift(offset, freq='1s')

The following test illustrates its use: you can see how the value column is shifted by 120 second. Geometry and time remain unchanged but the value column is shifted accordingly. In this test, we look at the row with index 2 which we access using iloc[2]:

    def test_offset_seconds(self):
        df = pd.DataFrame([
            {'geometry': Point(0, 0), 't': datetime(2018, 1, 1, 12, 0, 0), 'value': 1},
            {'geometry': Point(-6, 10), 't': datetime(2018, 1, 1, 12, 1, 0), 'value': 2},
            {'geometry': Point(6, 6), 't': datetime(2018, 1, 1, 12, 2, 0), 'value': 3},
            {'geometry': Point(6, 12), 't': datetime(2018, 1, 1, 12, 3, 0), 'value':4},
            {'geometry': Point(6, 18), 't': datetime(2018, 1, 1, 12, 4, 0), 'value':5}
        ]).set_index('t')
        geo_df = GeoDataFrame(df, crs={'init': '31256'})
        traj = Trajectory(1, geo_df)
        traj.apply_offset_seconds('value', -120)
        self.assertEqual(traj.df.iloc[2].value, 5)
        self.assertEqual(traj.df.iloc[2].geometry, Point(6, 6))

Many current movement data sources provide more or less continuous streams of object locations. For example, the AIS system provides continuous locations of vessels (mostly ships). This continuous stream of locations – let’s call it track – starts when we first record the vessel and ends with the last record. This start and end does not necessarily coincide with the start or end of a vessel voyage from one port to another. The stream start and end do not have any particular meaning. Instead, if we want to see what’s going on, we need to split the track into meaningful segments. One such segmentation – albeit a simple one – is to split tracks by day. This segmentation assumes that day/night changes affect the movement of our observed object. For many types of objects – those who mostly stay still during the night – this will work reasonably well.

For example, the following screenshot shows raw data of one particular vessel in the Boston region. By default, QGIS provides a Points to Path to convert points to lines. This tool takes one “group by” and one “order by” field. Therefore, if we want one trajectory per ship per day, we’d first have to create a new field that combines ship ID and day so that we can use this combination as a “group by” field. Additionally, the resulting lines loose all temporal information.

To simplify this workflow, Trajectools now provides a new algorithm that creates day trajectories and outputs LinestringM features. Using the Day trajectories from point layer tool, we can immediately see that our vessel of interest has been active for three consecutive days: entering our observation area on Nov 5th, moving to Boston where it stayed over night, then moving south to Weymouth on the next day, and leaving on the 7th.

Since the resulting trajectories are LinestringM features with time information stored in the M value, we can also visualize the speed of movement (as discussed in part #2 of this series):

In Movement data in GIS #16, I presented a new way to deal with trajectory data using GeoPandas and how to load the trajectory GeoDataframes as a QGIS layer. Following up on this initial experiment, I’ve now implemented a first version of an algorithm that performs a spatial analysis on my GeoPandas trajectories.

The first spatial analysis algorithm I’ve implemented is Clip trajectories by extent. Implementing this algorithm revealed a couple of pitfalls:

• To achieve correct results, we need to compute spatial intersections between linear trajectory segments and the extent. Therefore, we need to convert our point GeoDataframe to a line GeoDataframe.
• Based on the spatial intersection, we need to take care of computing the corresponding timestamps of the events when trajectories enter or leave the extent.
• A trajectory can intersect the extent multiple times. Therefore, we cannot simply use the global minimum and maximum timestamp of intersecting segments.
• GeoPandas provides spatial intersection functionality but if the trajectory contains consecutive rows without location change, these will result in zero length lines and those cause an empty intersection result.

So far, the clip result only contains the trajectory id plus a suffix indicating the sequence of the intersection segments for a specific trajectory (because one trajectory can intersect the extent multiple times). The following screenshot shows one highlighted trajectory that intersects the extent three times and the resulting clipped trajectories:

This algorithm together with the basic trajectory from points algorithm is now available in a Processing algorithm provider plugin called Processing Trajectory.

Note: This plugin depends on GeoPandas.

Note for Windows users: GeoPandas is not a standard package that is available in OSGeo4W, so you’ll have to install it manually. (For the necessary steps, see this answer on gis.stackexchange.com)

The implemented tests show how to use the Trajectory class independently of QGIS. So far, I’m only testing the spatial properties though:

def test_two_intersections_with_same_polygon(self):
    polygon = Polygon([(5,-5),(7,-5),(7,12),(5,12),(5,-5)])
    data = [{'id':1, 'geometry':Point(0,0), 't':datetime(2018,1,1,12,0,0)},
        {'id':1, 'geometry':Point(6,0), 't':datetime(2018,1,1,12,10,0)},
        {'id':1, 'geometry':Point(10,0), 't':datetime(2018,1,1,12,15,0)},
        {'id':1, 'geometry':Point(10,10), 't':datetime(2018,1,1,12,30,0)},
        {'id':1, 'geometry':Point(0,10), 't':datetime(2018,1,1,13,0,0)}]
    df = pd.DataFrame(data).set_index('t')
    geo_df = GeoDataFrame(df, crs={'init': '31256'})
    traj = Trajectory(1, geo_df)
    intersections = traj.intersection(polygon)
    result = []
    for x in intersections:
        result.append(x.to_linestring())
    expected_result = [LineString([(5,0),(6,0),(7,0)]), LineString([(7,10),(5,10)])]
    self.assertEqual(result, expected_result) 

One issue with implementing the algorithms as QGIS Processing tools in this way is that the tools are independent of one another. That means that each tool has to repeat the expensive step of creating the trajectory objects in memory. I’m not sure this can be solved.

Bugfix release 3.0.2 fixes an issue where “accumulate features” was broken for timestamps with milliseconds.

If you like TimeManager, know your way around setting up Travis for testing QGIS plugins, and want to help improve TimeManager stability, please get in touch!

Working with movement data analysis, I’ve banged my head against performance issues every once in a while. For example, PostgreSQL – and therefore PostGIS – run queries in a single thread of execution. This is now changing, with more and more functionality being parallelized. PostgreSQL version 9.6 (released on 2016-09-29) included important steps towards parallelization, including parallel execution of sequential scans, joins and aggregates. Still, there is no parallel processing in PostGIS so far (but it is under development as described by Paul Ramsey in his posts “Parallel PostGIS II” and “PostGIS Scaling” from late 2017).

At the FOSS4G2016 in Bonn, I had the pleasure to chat with Shoaib Burq who ran the “An intro to Apache PySpark for Big Data GeoAnalysis” workshop. Back home, I downloaded the workshop material and gave it a try but since I wanted a scalable system for storing, analyzing, and visualizing spatial data, it didn’t really seem to fit the bill.

Around one year ago, my search grew more serious since we needed a solution that would support our research group’s new projects where we expected to work with billions of location records (timestamped points and associated attributes). I was happy to find that the fine folks at LocationTech have some very promising open source projects focusing on big spatial data, most notably GeoMesa and GeoWave. Both tools take care of storing and querying big spatio-temporal datasets and integrate into GeoServer for publication and visualization. (A good – if already slightly outdated – comparison of the two has been published by Azavea.)

My understanding at the time was that GeoMesa had a stronger vector data focus while GeoWave was more focused on raster data. This lead me to try out GeoMesa. I published my first steps in “Getting started with GeoMesa using Geodocker” but things only really started to take off once I joined the developer chats and was pointed towards CCRI’s cloud-local “a collection of bash scripts to set up a single-node cloud on your desktop, laptop, or NUC”. This enabled me to skip most of the setup pains and go straight to testing GeoMesa’s functionality.

The learning curve is rather significant: numerous big data stack components (including HDFS, Accumulo, and GeoMesa), a most likely new language (Scala), as well as the Spark computing system require some getting used to. One thing that softened the blow is the fact that writing queries in SparkSQL + GeoMesa is pretty close to writing PostGIS queries. It’s also rather impressive to browse hundreds of millions of points by connecting QGIS TimeManager to a GeoServer WMS-T with GeoMesa backend.

Spatial big data stack with GeoMesa

One of the first big datasets I’ve tested are taxi floating car data (FCD). At one million records per day, the three years in the following example amount to a total of around one billion timestamped points. A query for travel times between arbitrary start and destination locations took a couple of seconds:

Travel time statistics with GeoMesa (left) compared to Google Maps predictions (right)

Besides travel time predictions, I’m also looking into the potential for predicting future movement. After all, it seems not unreasonable to assume that an object would move in a similar fashion as other similar objects did in the past.

Early results of a proof of concept for GeoMesa based movement prediction

Big spatial data – both vector and raster – are an exciting challenge bringing new tools and approaches to our ever expanding spatial toolset. Development of components in open source big data stacks is rapid – not unlike the development speed of QGIS. This can make it challenging to keep up but it also holds promises for continuous improvements and quick turn-around times.

If you are using GeoMesa to work with spatio-temporal data, I’d love to hear about your experiences.

In Movement data in GIS #2: visualization I mentioned that it should be possible to label trajectory segments without having to break the original trajectory feature. While it’s not a straightforward process, it is indeed possible to create timestamp labels at desired intervals:

The main point here is that we cannot use regular labels because there would be only one label for the whole trajectory feature. Instead, we are using a marker line with a font marker:

By default, font markers only display one character from a given font but by using expressions we can make it display longer text, including datetime strings:

If you want to have a label at every node of the trajectory, the expression looks like this:

format_date( 
   to_datetime('1970-01-01T00:00:00Z')+to_interval(
      m(start_point(geometry_n(
         segments_to_lines( $geometry ),
         @geometry_part_num)
      ))||' seconds'
   ),
   'HH:mm:ss'
)

You probably remember those parts of the expression that extract the m value from previous posts. Note that – compared to 2016 – it is now necessary to add the segments_to_lines() function.

The m value (which stores time as seconds since Unix epoch) is then converted to datetime and finally formatted to only show time. Of course you can edit the datetime format string to also include the date.

If we only want a label every 30 seconds, we can add a case statement around that:

CASE WHEN 
m(start_point(geometry_n(
   segments_to_lines( $geometry ),
   @geometry_part_num)
)) % 30 = 0
THEN
format_date( 
   to_datetime('1970-01-01T00:00:00Z')+to_interval(
      m(start_point(geometry_n(
         segments_to_lines( $geometry ),
         @geometry_part_num)
      ))||' seconds'
   ),
   'HH:mm:ss'
)
END

This works well if the trajectory sampling interval is fairly regular. This is not always the case and that means that the above case statement wouldn’t find many nodes with a timestamp that ends in :30 or :00. In such a case, we could resort to labeling nodes based on their order in the linestring:

CASE WHEN 
 @geometry_part_num  % 30 = 0
THEN
...

Thanks a lot to @JuergenEFischer for providing a solution for converting seconds since Unix epoch to datetime without a custom function!

Note that expressions using @geometry_part_num currently suffer from the following issue: Combination of segments_to_lines($geometry) and @geometry_part_num gives wrong segment numbers

This post is part of a series. Read more about movement data in GIS.

TimeManager 2.5 is quite likely going to be the final TimeManager release for the QGIS 2 series. It comes with a couple of bug fixes and enhancements:

• Fixed #245: updated help.htm
• Fixed #240: now hiding unmanageable WFS layers
• Fixed #220: fixed issues with label size
• Fixed #194: now exposing additional functions: animation_time_frame_size, animation_time_frame_type, animation_start_datetime, animation_end_datetime

Besides updating the help, I also decided to display it more prominently in the settings dialog (similarly to how the help is displayed in the field calculator or in Processing):

So far, I haven’t started porting to QGIS 3 yet. If you are interested in TimeManager and want to help, please get in touch.

On this note, let me leave you with a couple of animation inspirations from the Twitterverse:

Today’s post is a follow-up of Movement data in GIS #3: visualizing massive trajectory datasets. In that post, I summarized a concept for trajectory generalization. Now, I have published the scripts and sample data in my QGIS-Processing-tools repository on Github.

To add the trajectory generalization scripts to your Processing toolbox, you can use the Add scripts from files tool:

It is worth noting, that Add scripts from files fails to correctly import potential help files for the scripts but that’s not an issue this time around, since I haven’t gotten around to actually write help files yet.

The scripts are used in the following order:

1. Extract characteristic trajectory points
2. Group points in space
3. Compute flows between cells from trajectories

The sample project contains input data, as well as output layers of the individual tools. The only required input is a layer of trajectories, where trajectories have to be LINESTRINGM (note the M!) features:

Trajectory sample based on data provided by the GeoLife project

In Extract characteristic trajectory points, distance parameters are specified in meters, stop duration in seconds, and angles in degrees. The characteristic points contain start and end locations, as well as turns and stop locations:

The characteristic points are then clustered. In this tool, the distance has to be specified in layer units, which are degrees in case of the sample data.

Finally, we can compute flows between cells defined by these clusters:

Flow lines scaled by flow strength and cell centers scaled by counts

If you use these tools on your own data, I’d be happy so see what you come up with!

Read more:

• Movement data in GIS: issues & ideas
• Movement data in GIS #2: visualizing individual trajectories
• Movement data in GIS #3: visualizing massive trajectory datasets
• Movement data in GIS #4: variations over time
• Movement data in GIS #5: current research topics
• Movement data in GIS #6: updates from AGILE2017
• Movement data in GIS #7: animated trajectories with TimeManager
• Movement data in GIS #8: edge bundling for flow maps