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The first version of trajectory stop detection has now landed in movingpandas.org! It can be used to extract stops or split trajectories at stops. It's the same algorithm as previously discussed in anitagraser.com/2018/07/19/movement-data-in-gis-15-writing-a-pl-pgsql-stop-detection-function-for-postgis-trajectories/
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Here's the interactive live demo: mybinder.org/v2/gh/anitagraser/movingpandas/binder-tag?filepath=tutorials/demo_stop_detection.ipynb