From 878fe677f269317383d476ea63250c88fb0d632c Mon Sep 17 00:00:00 2001 From: Brendan Collins Date: Tue, 17 Mar 2026 08:44:57 -0700 Subject: [PATCH 1/4] Add NYC taxi line rasterization example with custom log-sum merge (#1021) --- examples/user_guide/33_NYC_Taxi_Lines.ipynb | 250 ++++++++++++++++++++ 1 file changed, 250 insertions(+) create mode 100644 examples/user_guide/33_NYC_Taxi_Lines.ipynb diff --git a/examples/user_guide/33_NYC_Taxi_Lines.ipynb b/examples/user_guide/33_NYC_Taxi_Lines.ipynb new file mode 100644 index 00000000..15d7d8bc --- /dev/null +++ b/examples/user_guide/33_NYC_Taxi_Lines.ipynb @@ -0,0 +1,250 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# NYC taxi line rasterization with a custom merge\n", + "\n", + "This notebook rasterizes 3.4 million yellow taxi trips from January 2025 as\n", + "straight lines between pickup and dropoff zone centroids. We compare the\n", + "built-in `sum` merge against a custom log-sum merge that compresses dynamic\n", + "range, letting mid-volume corridors stand out alongside the busiest routes.\n", + "\n", + "Data source: [NYC TLC Trip Record Data](https://www.nyc.gov/site/tlc/about/tlc-trip-record-data.page)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "%matplotlib inline\n", + "import numpy as np\n", + "import pandas as pd\n", + "import xarray as xr\n", + "import geopandas as gpd\n", + "import matplotlib.pyplot as plt\n", + "from shapely.geometry import LineString\n", + "\n", + "import xrspatial # registers .xrs accessor\n", + "from xrspatial.utils import ngjit" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Load taxi zones and trip data\n", + "\n", + "The TLC publishes taxi zone boundaries as a shapefile and monthly trip records\n", + "as parquet files. We download both, reproject zones to WGS 84, and read only\n", + "the columns we need from the ~100 MB parquet." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": "import requests, zipfile, io, tempfile, os\nimport pyproj\n\n# Download and extract taxi zone shapefile\nresp = requests.get('https://d37ci6vzurychx.cloudfront.net/misc/taxi_zones.zip')\ntmpdir = tempfile.mkdtemp()\nwith zipfile.ZipFile(io.BytesIO(resp.content)) as z:\n z.extractall(tmpdir)\n\nzones = gpd.read_file(os.path.join(tmpdir, 'taxi_zones', 'taxi_zones.shp'))\n\n# Compute centroids in the native projected CRS (EPSG:2263, feet) where\n# they're accurate, then transform to WGS 84 lon/lat for rasterization.\nmanhattan_proj = zones[zones.borough == 'Manhattan'].copy()\ncx_proj = manhattan_proj.geometry.centroid.x.values\ncy_proj = manhattan_proj.geometry.centroid.y.values\n\ntransformer = pyproj.Transformer.from_crs('EPSG:2263', 'EPSG:4326', always_xy=True)\ncx_wgs, cy_wgs = transformer.transform(cx_proj, cy_proj)\n\nzones = zones.to_crs(epsg=4326)\nmanhattan = zones[zones.borough == 'Manhattan'].copy()\nmanhattan['cx'] = cx_wgs\nmanhattan['cy'] = cy_wgs\ncentroids = manhattan.set_index('LocationID')[['cx', 'cy']]\n\nprint(f'{len(manhattan)} Manhattan taxi zones')\n\nfig, ax = plt.subplots(figsize=(4, 8))\nmanhattan.plot(ax=ax, facecolor='#f0f0f0', edgecolor='#999')\nax.scatter(centroids.cx, centroids.cy, s=8, color='steelblue', zorder=5)\nax.set_title('Manhattan taxi zones + centroids')\nax.set_axis_off()\nplt.tight_layout()" + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "trips = pd.read_parquet(\n", + " 'https://d37ci6vzurychx.cloudfront.net/trip-data/yellow_tripdata_2025-01.parquet',\n", + " columns=['PULocationID', 'DOLocationID', 'total_amount', 'trip_distance'],\n", + ")\n", + "\n", + "# Keep Manhattan-to-Manhattan trips with positive fare and nontrivial distance\n", + "mh_ids = set(centroids.index)\n", + "mask = (\n", + " trips.PULocationID.isin(mh_ids)\n", + " & trips.DOLocationID.isin(mh_ids)\n", + " & (trips.total_amount > 0)\n", + " & (trips.trip_distance > 0.1)\n", + " & (trips.PULocationID != trips.DOLocationID)\n", + ")\n", + "trips = trips[mask]\n", + "print(f'{len(trips):,} Manhattan-to-Manhattan trips after filtering')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Build route lines\n", + "\n", + "Group trips by pickup--dropoff zone pair and sum fares and counts, then draw a\n", + "straight line between zone centroids. This collapses millions of trips into a\n", + "few thousand unique routes, each carrying aggregate statistics as columns." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "routes = (\n", + " trips\n", + " .groupby(['PULocationID', 'DOLocationID'])\n", + " .agg(trip_count=('total_amount', 'size'),\n", + " total_fare=('total_amount', 'sum'))\n", + " .reset_index()\n", + ")\n", + "\n", + "# Attach pickup and dropoff centroids\n", + "routes = routes.merge(centroids, left_on='PULocationID', right_index=True)\n", + "routes = routes.rename(columns={'cx': 'pu_x', 'cy': 'pu_y'})\n", + "routes = routes.merge(centroids, left_on='DOLocationID', right_index=True)\n", + "routes = routes.rename(columns={'cx': 'do_x', 'cy': 'do_y'})\n", + "\n", + "routes['geometry'] = [\n", + " LineString([(r.pu_x, r.pu_y), (r.do_x, r.do_y)])\n", + " for _, r in routes.iterrows()\n", + "]\n", + "gdf = gpd.GeoDataFrame(routes, geometry='geometry', crs='EPSG:4326')\n", + "\n", + "print(f'{len(gdf):,} unique routes')\n", + "print(f'Trip count per route: min={gdf.trip_count.min()}, '\n", + " f'median={gdf.trip_count.median():.0f}, max={gdf.trip_count.max()}')" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "fig, ax = plt.subplots(figsize=(6, 10))\n", + "manhattan.plot(ax=ax, facecolor='#f0f0f0', edgecolor='#ccc')\n", + "gdf.plot(ax=ax, linewidth=0.3, alpha=0.4, color='steelblue')\n", + "ax.set_title(f'{len(gdf):,} taxi routes across Manhattan')\n", + "ax.set_axis_off()\n", + "plt.tight_layout()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Rasterize: built-in sum vs. custom log-sum\n", + "\n", + "We create a raster grid covering Manhattan and burn route lines three ways:\n", + "\n", + "1. **Trip count** (`merge='sum'` on `trip_count`): raw volume per pixel\n", + "2. **Total fare** (`merge='sum'` on `total_fare`): revenue per pixel\n", + "3. **Log-fare** (custom merge): `sum(log(1 + fare))` per pixel\n", + "\n", + "The log transform compresses dynamic range. A \\$1M corridor and a \\$10K\n", + "corridor differ 100x in linear sum but only about 2.5x in log-sum. Cross-town\n", + "routes and side streets that are invisible in the linear panels become visible." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# Manhattan bounding box with a bit of padding\n", + "bounds = (-74.025, 40.695, -73.930, 40.880)\n", + "width, height = 400, 800\n", + "\n", + "def make_template(w, h, bounds):\n", + " xmin, ymin, xmax, ymax = bounds\n", + " px, py = (xmax - xmin) / w, (ymax - ymin) / h\n", + " x = np.linspace(xmin + px / 2, xmax - px / 2, w)\n", + " y = np.linspace(ymax - py / 2, ymin + py / 2, h)\n", + " return xr.DataArray(np.zeros((h, w)), dims=['y', 'x'],\n", + " coords={'y': y, 'x': x})\n", + "\n", + "template = make_template(width, height, bounds)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# 1. Trip count -- linear sum\n", + "count_raster = template.xrs.rasterize(gdf, column='trip_count', merge='sum', fill=0)\n", + "\n", + "# 2. Total fare -- linear sum\n", + "fare_raster = template.xrs.rasterize(gdf, column='total_fare', merge='sum', fill=0)\n", + "\n", + "# 3. Log-fare -- custom non-linear merge\n", + "@ngjit\n", + "def log_fare_sum(pixel, props, is_first):\n", + " \"\"\"Sum log(1 + fare) instead of raw fares.\n", + "\n", + " Non-linear: compresses high values, widens the low range.\n", + " A $1M route contributes log(1M) ~ 13.8 while a $1K route\n", + " contributes log(1K) ~ 6.9, a 2:1 ratio instead of 1000:1.\n", + " \"\"\"\n", + " val = np.log1p(props[0])\n", + " if is_first:\n", + " return val\n", + " return pixel + val\n", + "\n", + "log_raster = template.xrs.rasterize(gdf, column='total_fare', merge=log_fare_sum, fill=0)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": "import pathlib\npathlib.Path('images').mkdir(exist_ok=True)\n\nfig, axes = plt.subplots(1, 3, figsize=(18, 12), facecolor='black')\n\ntitles = ['Trip count (sum)', 'Total fare (sum)', 'Log-fare (custom merge)']\nrasters = [count_raster, fare_raster, log_raster]\n\nfor ax, raster, title in zip(axes, rasters, titles):\n ax.set_facecolor('black')\n masked = raster.where(raster > 0)\n masked.plot.imshow(ax=ax, cmap='hot', add_colorbar=False,\n interpolation='nearest')\n ax.set_title(title, color='white', fontsize=14, pad=10)\n ax.set_axis_off()\n\nplt.tight_layout()\nplt.savefig('images/nyc_taxi_lines_preview.png',\n bbox_inches='tight', dpi=120, facecolor='black')" + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The left two panels are dominated by a handful of bright corridors -- the\n", + "busiest routes running up and down the avenues. Everything else fades to\n", + "near-black.\n", + "\n", + "The right panel applies `log(1 + x)` before summing, which compresses the\n", + "hundred-fold difference between heavy and light corridors down to about 2--3x.\n", + "Cross-town routes and side-street connections that are invisible in the linear\n", + "versions show up clearly. Same data, different merge function.\n", + "\n", + "**When to use a non-linear merge:** any time a few features dominate the\n", + "signal and you want to see the rest of the distribution. Log-sum works well\n", + "for count-like or revenue-like data that spans several orders of magnitude." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### References\n", + "\n", + "- [NYC TLC Trip Record Data](https://www.nyc.gov/site/tlc/about/tlc-trip-record-data.page)\n", + "- [Bresenham's line algorithm (Wikipedia)](https://en.wikipedia.org/wiki/Bresenham%27s_line_algorithm)\n", + "- [xrspatial.rasterize API docs](https://xarray-spatial.readthedocs.io/en/latest/reference/_autosummary/xrspatial.rasterize.html)" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "name": "python", + "version": "3.14.0" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} \ No newline at end of file From f6b6425416f1b5d30c6dbb905850a3cede83e0ec Mon Sep 17 00:00:00 2001 From: Brendan Collins Date: Tue, 17 Mar 2026 11:24:36 -0700 Subject: [PATCH 2/4] Switch to Porto taxi GPS trajectories with full polylines (#1021) Replace NYC zone-centroid lines with actual GPS traces from the ECML/PKDD 2015 Porto taxi dataset (196K multi-point trajectories). --- examples/user_guide/33_NYC_Taxi_Lines.ipynb | 250 ------------------ .../33_Porto_Taxi_Trajectories.ipynb | 98 +++++++ 2 files changed, 98 insertions(+), 250 deletions(-) delete mode 100644 examples/user_guide/33_NYC_Taxi_Lines.ipynb create mode 100644 examples/user_guide/33_Porto_Taxi_Trajectories.ipynb diff --git a/examples/user_guide/33_NYC_Taxi_Lines.ipynb b/examples/user_guide/33_NYC_Taxi_Lines.ipynb deleted file mode 100644 index 15d7d8bc..00000000 --- a/examples/user_guide/33_NYC_Taxi_Lines.ipynb +++ /dev/null @@ -1,250 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# NYC taxi line rasterization with a custom merge\n", - "\n", - "This notebook rasterizes 3.4 million yellow taxi trips from January 2025 as\n", - "straight lines between pickup and dropoff zone centroids. We compare the\n", - "built-in `sum` merge against a custom log-sum merge that compresses dynamic\n", - "range, letting mid-volume corridors stand out alongside the busiest routes.\n", - "\n", - "Data source: [NYC TLC Trip Record Data](https://www.nyc.gov/site/tlc/about/tlc-trip-record-data.page)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "%matplotlib inline\n", - "import numpy as np\n", - "import pandas as pd\n", - "import xarray as xr\n", - "import geopandas as gpd\n", - "import matplotlib.pyplot as plt\n", - "from shapely.geometry import LineString\n", - "\n", - "import xrspatial # registers .xrs accessor\n", - "from xrspatial.utils import ngjit" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Load taxi zones and trip data\n", - "\n", - "The TLC publishes taxi zone boundaries as a shapefile and monthly trip records\n", - "as parquet files. We download both, reproject zones to WGS 84, and read only\n", - "the columns we need from the ~100 MB parquet." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": "import requests, zipfile, io, tempfile, os\nimport pyproj\n\n# Download and extract taxi zone shapefile\nresp = requests.get('https://d37ci6vzurychx.cloudfront.net/misc/taxi_zones.zip')\ntmpdir = tempfile.mkdtemp()\nwith zipfile.ZipFile(io.BytesIO(resp.content)) as z:\n z.extractall(tmpdir)\n\nzones = gpd.read_file(os.path.join(tmpdir, 'taxi_zones', 'taxi_zones.shp'))\n\n# Compute centroids in the native projected CRS (EPSG:2263, feet) where\n# they're accurate, then transform to WGS 84 lon/lat for rasterization.\nmanhattan_proj = zones[zones.borough == 'Manhattan'].copy()\ncx_proj = manhattan_proj.geometry.centroid.x.values\ncy_proj = manhattan_proj.geometry.centroid.y.values\n\ntransformer = pyproj.Transformer.from_crs('EPSG:2263', 'EPSG:4326', always_xy=True)\ncx_wgs, cy_wgs = transformer.transform(cx_proj, cy_proj)\n\nzones = zones.to_crs(epsg=4326)\nmanhattan = zones[zones.borough == 'Manhattan'].copy()\nmanhattan['cx'] = cx_wgs\nmanhattan['cy'] = cy_wgs\ncentroids = manhattan.set_index('LocationID')[['cx', 'cy']]\n\nprint(f'{len(manhattan)} Manhattan taxi zones')\n\nfig, ax = plt.subplots(figsize=(4, 8))\nmanhattan.plot(ax=ax, facecolor='#f0f0f0', edgecolor='#999')\nax.scatter(centroids.cx, centroids.cy, s=8, color='steelblue', zorder=5)\nax.set_title('Manhattan taxi zones + centroids')\nax.set_axis_off()\nplt.tight_layout()" - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "trips = pd.read_parquet(\n", - " 'https://d37ci6vzurychx.cloudfront.net/trip-data/yellow_tripdata_2025-01.parquet',\n", - " columns=['PULocationID', 'DOLocationID', 'total_amount', 'trip_distance'],\n", - ")\n", - "\n", - "# Keep Manhattan-to-Manhattan trips with positive fare and nontrivial distance\n", - "mh_ids = set(centroids.index)\n", - "mask = (\n", - " trips.PULocationID.isin(mh_ids)\n", - " & trips.DOLocationID.isin(mh_ids)\n", - " & (trips.total_amount > 0)\n", - " & (trips.trip_distance > 0.1)\n", - " & (trips.PULocationID != trips.DOLocationID)\n", - ")\n", - "trips = trips[mask]\n", - "print(f'{len(trips):,} Manhattan-to-Manhattan trips after filtering')" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Build route lines\n", - "\n", - "Group trips by pickup--dropoff zone pair and sum fares and counts, then draw a\n", - "straight line between zone centroids. This collapses millions of trips into a\n", - "few thousand unique routes, each carrying aggregate statistics as columns." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "routes = (\n", - " trips\n", - " .groupby(['PULocationID', 'DOLocationID'])\n", - " .agg(trip_count=('total_amount', 'size'),\n", - " total_fare=('total_amount', 'sum'))\n", - " .reset_index()\n", - ")\n", - "\n", - "# Attach pickup and dropoff centroids\n", - "routes = routes.merge(centroids, left_on='PULocationID', right_index=True)\n", - "routes = routes.rename(columns={'cx': 'pu_x', 'cy': 'pu_y'})\n", - "routes = routes.merge(centroids, left_on='DOLocationID', right_index=True)\n", - "routes = routes.rename(columns={'cx': 'do_x', 'cy': 'do_y'})\n", - "\n", - "routes['geometry'] = [\n", - " LineString([(r.pu_x, r.pu_y), (r.do_x, r.do_y)])\n", - " for _, r in routes.iterrows()\n", - "]\n", - "gdf = gpd.GeoDataFrame(routes, geometry='geometry', crs='EPSG:4326')\n", - "\n", - "print(f'{len(gdf):,} unique routes')\n", - "print(f'Trip count per route: min={gdf.trip_count.min()}, '\n", - " f'median={gdf.trip_count.median():.0f}, max={gdf.trip_count.max()}')" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "fig, ax = plt.subplots(figsize=(6, 10))\n", - "manhattan.plot(ax=ax, facecolor='#f0f0f0', edgecolor='#ccc')\n", - "gdf.plot(ax=ax, linewidth=0.3, alpha=0.4, color='steelblue')\n", - "ax.set_title(f'{len(gdf):,} taxi routes across Manhattan')\n", - "ax.set_axis_off()\n", - "plt.tight_layout()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Rasterize: built-in sum vs. custom log-sum\n", - "\n", - "We create a raster grid covering Manhattan and burn route lines three ways:\n", - "\n", - "1. **Trip count** (`merge='sum'` on `trip_count`): raw volume per pixel\n", - "2. **Total fare** (`merge='sum'` on `total_fare`): revenue per pixel\n", - "3. **Log-fare** (custom merge): `sum(log(1 + fare))` per pixel\n", - "\n", - "The log transform compresses dynamic range. A \\$1M corridor and a \\$10K\n", - "corridor differ 100x in linear sum but only about 2.5x in log-sum. Cross-town\n", - "routes and side streets that are invisible in the linear panels become visible." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "# Manhattan bounding box with a bit of padding\n", - "bounds = (-74.025, 40.695, -73.930, 40.880)\n", - "width, height = 400, 800\n", - "\n", - "def make_template(w, h, bounds):\n", - " xmin, ymin, xmax, ymax = bounds\n", - " px, py = (xmax - xmin) / w, (ymax - ymin) / h\n", - " x = np.linspace(xmin + px / 2, xmax - px / 2, w)\n", - " y = np.linspace(ymax - py / 2, ymin + py / 2, h)\n", - " return xr.DataArray(np.zeros((h, w)), dims=['y', 'x'],\n", - " coords={'y': y, 'x': x})\n", - "\n", - "template = make_template(width, height, bounds)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "# 1. Trip count -- linear sum\n", - "count_raster = template.xrs.rasterize(gdf, column='trip_count', merge='sum', fill=0)\n", - "\n", - "# 2. Total fare -- linear sum\n", - "fare_raster = template.xrs.rasterize(gdf, column='total_fare', merge='sum', fill=0)\n", - "\n", - "# 3. Log-fare -- custom non-linear merge\n", - "@ngjit\n", - "def log_fare_sum(pixel, props, is_first):\n", - " \"\"\"Sum log(1 + fare) instead of raw fares.\n", - "\n", - " Non-linear: compresses high values, widens the low range.\n", - " A $1M route contributes log(1M) ~ 13.8 while a $1K route\n", - " contributes log(1K) ~ 6.9, a 2:1 ratio instead of 1000:1.\n", - " \"\"\"\n", - " val = np.log1p(props[0])\n", - " if is_first:\n", - " return val\n", - " return pixel + val\n", - "\n", - "log_raster = template.xrs.rasterize(gdf, column='total_fare', merge=log_fare_sum, fill=0)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": "import pathlib\npathlib.Path('images').mkdir(exist_ok=True)\n\nfig, axes = plt.subplots(1, 3, figsize=(18, 12), facecolor='black')\n\ntitles = ['Trip count (sum)', 'Total fare (sum)', 'Log-fare (custom merge)']\nrasters = [count_raster, fare_raster, log_raster]\n\nfor ax, raster, title in zip(axes, rasters, titles):\n ax.set_facecolor('black')\n masked = raster.where(raster > 0)\n masked.plot.imshow(ax=ax, cmap='hot', add_colorbar=False,\n interpolation='nearest')\n ax.set_title(title, color='white', fontsize=14, pad=10)\n ax.set_axis_off()\n\nplt.tight_layout()\nplt.savefig('images/nyc_taxi_lines_preview.png',\n bbox_inches='tight', dpi=120, facecolor='black')" - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "The left two panels are dominated by a handful of bright corridors -- the\n", - "busiest routes running up and down the avenues. Everything else fades to\n", - "near-black.\n", - "\n", - "The right panel applies `log(1 + x)` before summing, which compresses the\n", - "hundred-fold difference between heavy and light corridors down to about 2--3x.\n", - "Cross-town routes and side-street connections that are invisible in the linear\n", - "versions show up clearly. Same data, different merge function.\n", - "\n", - "**When to use a non-linear merge:** any time a few features dominate the\n", - "signal and you want to see the rest of the distribution. Log-sum works well\n", - "for count-like or revenue-like data that spans several orders of magnitude." - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### References\n", - "\n", - "- [NYC TLC Trip Record Data](https://www.nyc.gov/site/tlc/about/tlc-trip-record-data.page)\n", - "- [Bresenham's line algorithm (Wikipedia)](https://en.wikipedia.org/wiki/Bresenham%27s_line_algorithm)\n", - "- [xrspatial.rasterize API docs](https://xarray-spatial.readthedocs.io/en/latest/reference/_autosummary/xrspatial.rasterize.html)" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3 (ipykernel)", - "language": "python", - "name": "python3" - }, - "language_info": { - "name": "python", - "version": "3.14.0" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} \ No newline at end of file diff --git a/examples/user_guide/33_Porto_Taxi_Trajectories.ipynb b/examples/user_guide/33_Porto_Taxi_Trajectories.ipynb new file mode 100644 index 00000000..68b0dc8e --- /dev/null +++ b/examples/user_guide/33_Porto_Taxi_Trajectories.ipynb @@ -0,0 +1,98 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": "# Porto taxi trajectory rasterization with a custom merge\n\nThis notebook rasterizes 200,000 taxi trajectories from Porto, Portugal as\nGPS-traced lines. Unlike simple pickup-to-dropoff lines, these are full\ntrajectories with a GPS reading every 15 seconds, so they follow actual streets.\n\nWe compare the built-in `sum` merge against a custom log-sum merge that\ncompresses dynamic range, letting minor streets stand out alongside the main\ncorridors.\n\nData source: [ECML/PKDD 2015 Taxi Trajectory Challenge (UCI ML Repository)](https://archive.ics.uci.edu/dataset/339/)" + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": "%matplotlib inline\nimport json\nimport numpy as np\nimport pandas as pd\nimport xarray as xr\nimport geopandas as gpd\nimport matplotlib.pyplot as plt\nfrom shapely.geometry import LineString\n\nimport xrspatial # registers .xrs accessor\nfrom xrspatial.utils import ngjit" + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": "## Download and parse trajectories\n\nThe dataset is from the UCI ML Repository (~509 MB download, nested ZIP).\nEach trip has a `POLYLINE` column: a JSON list of `[longitude, latitude]` pairs\nrecorded every 15 seconds. We read the first 200,000 trips to keep things\nmanageable." + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": "import urllib.request, zipfile, io, tempfile, os\n\nurl = ('https://archive.ics.uci.edu/static/public/339/'\n 'taxi+service+trajectory+prediction+challenge+ecml+pkdd+2015.zip')\n\nprint('Downloading Porto taxi data (~509 MB)...')\ntmpfile, _ = urllib.request.urlretrieve(url)\n\n# Nested ZIP: outer contains train.csv.zip, which contains train.csv\ntmpdir = tempfile.mkdtemp()\nwith zipfile.ZipFile(tmpfile) as outer:\n outer.extract('train.csv.zip', tmpdir)\n\nwith zipfile.ZipFile(os.path.join(tmpdir, 'train.csv.zip')) as inner:\n with inner.open('train.csv') as f:\n df = pd.read_csv(f, nrows=200_000,\n usecols=['POLYLINE', 'MISSING_DATA'])\n\nos.remove(tmpfile)\nprint(f'{len(df):,} rows read')" + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": "# Drop trips with missing GPS data\ndf = df[df.MISSING_DATA == False].copy()\n\n# Parse polyline JSON, keep trips with at least 2 GPS points\ndf['coords'] = df.POLYLINE.apply(json.loads)\ndf = df[df.coords.apply(len) >= 2].copy()\n\n# Trip duration in minutes (15 seconds between readings)\ndf['duration_min'] = df.coords.apply(lambda c: (len(c) - 1) * 0.25)\n\n# Build LineStrings\ndf['geometry'] = df.coords.apply(LineString)\ngdf = gpd.GeoDataFrame(df[['duration_min', 'geometry']],\n geometry='geometry', crs='EPSG:4326')\n\nprint(f'{len(gdf):,} trajectories after filtering')\nprint(f'Duration: min={gdf.duration_min.min():.1f}, '\n f'median={gdf.duration_min.median():.1f}, '\n f'max={gdf.duration_min.max():.1f} minutes')" + }, + { + "cell_type": "code", + "metadata": {}, + "source": "fig, ax = plt.subplots(figsize=(10, 8))\nax.set_facecolor('#1a1a2e')\ngdf.sample(min(20_000, len(gdf)), random_state=42).plot(\n ax=ax, linewidth=0.1, alpha=0.3, color='#e94560')\nax.set_title(f'{len(gdf):,} taxi trajectories in Porto')\nax.set_axis_off()\nplt.tight_layout()" + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": "# Porto bounding box\nbounds = (-8.72, 41.10, -8.52, 41.22)\nwidth, height = 800, 600\n\ndef make_template(w, h, bounds):\n xmin, ymin, xmax, ymax = bounds\n px, py = (xmax - xmin) / w, (ymax - ymin) / h\n x = np.linspace(xmin + px / 2, xmax - px / 2, w)\n y = np.linspace(ymax - py / 2, ymin + py / 2, h)\n return xr.DataArray(np.zeros((h, w)), dims=['y', 'x'],\n coords={'y': y, 'x': x})\n\ntemplate = make_template(width, height, bounds)" + }, + { + "cell_type": "markdown", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": "## Rasterize: built-in sum vs. custom log-sum\n\nWe burn the trajectories into the grid three ways:\n\n1. **Trip count** (`merge='count'`): how many trajectories cross each pixel\n2. **Total duration** (`merge='sum'` on `duration_min`): taxi-minutes per pixel\n3. **Log-duration** (custom merge): `sum(log(1 + duration))` per pixel\n\nThe log transform compresses the contribution of long trips. A 60-minute\nairport run contributes `log(61) ~ 4.1` while a 5-minute hop contributes\n`log(6) ~ 1.8` -- a 2:1 ratio instead of 12:1. This lets neighborhood streets\nwhere short trips happen show up alongside the highway corridors." + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": "## Results" + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": "# 1. Trip count\ncount_raster = template.xrs.rasterize(gdf, merge='count', fill=0)\n\n# 2. Total duration (linear sum)\ndur_raster = template.xrs.rasterize(gdf, column='duration_min', merge='sum', fill=0)\n\n# 3. Log-duration (custom non-linear merge)\n@ngjit\ndef log_duration_sum(pixel, props, is_first):\n \"\"\"Sum log(1 + duration) instead of raw duration.\n\n Compresses the contribution of long trips: a 60-min airport run\n contributes log(61) ~ 4.1 while a 5-min hop contributes log(6) ~ 1.8.\n Ratio drops from 12:1 to about 2:1.\n \"\"\"\n val = np.log1p(props[0])\n if is_first:\n return val\n return pixel + val\n\nlog_raster = template.xrs.rasterize(\n gdf, column='duration_min', merge=log_duration_sum, fill=0)" + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": "import pathlib\npathlib.Path('images').mkdir(exist_ok=True)\n\nfig, axes = plt.subplots(1, 3, figsize=(20, 8), facecolor='black')\n\ntitles = ['Trip count', 'Total duration (sum)', 'Log-duration (custom merge)']\nrasters = [count_raster, dur_raster, log_raster]\n\nfor ax, raster, title in zip(axes, rasters, titles):\n ax.set_facecolor('black')\n masked = raster.where(raster > 0)\n masked.plot.imshow(ax=ax, cmap='hot', add_colorbar=False,\n interpolation='nearest')\n ax.set_title(title, color='white', fontsize=14, pad=10)\n ax.set_axis_off()\n\nplt.tight_layout()\nplt.savefig('images/porto_taxi_lines_preview.png',\n bbox_inches='tight', dpi=120, facecolor='black')" + }, + { + "cell_type": "markdown", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": "The left and center panels are dominated by the main highway corridors and the\ndowntown waterfront area. Side streets and residential neighborhoods barely\nregister.\n\nThe right panel applies `log(1 + x)` before summing, compressing the\nthousand-fold difference between highways and side streets down to about 3--4x.\nYou can trace individual neighborhood roads and see the full street network.\nSame data, different merge function.\n\n**When to use a non-linear merge:** any time a few features dominate the signal\nand you want to see the rest of the distribution. Log-sum works well for data\nthat spans several orders of magnitude." + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": "### References\n\n- [ECML/PKDD 2015 Taxi Trajectory Challenge (UCI)](https://archive.ics.uci.edu/dataset/339/)\n- [Bresenham's line algorithm (Wikipedia)](https://en.wikipedia.org/wiki/Bresenham%27s_line_algorithm)\n- [xrspatial.rasterize API docs](https://xarray-spatial.readthedocs.io/en/latest/reference/_autosummary/xrspatial.rasterize.html)" + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "name": "python", + "version": "3.14.0" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} \ No newline at end of file From aa960f7df09ae378bd4b83269c2f0210c3ec9d50 Mon Sep 17 00:00:00 2001 From: Brendan Collins Date: Tue, 17 Mar 2026 11:29:12 -0700 Subject: [PATCH 3/4] Fix notebook cell metadata: add missing outputs/execution_count (#1021) --- examples/user_guide/33_Porto_Taxi_Trajectories.ipynb | 10 ++++------ 1 file changed, 4 insertions(+), 6 deletions(-) diff --git a/examples/user_guide/33_Porto_Taxi_Trajectories.ipynb b/examples/user_guide/33_Porto_Taxi_Trajectories.ipynb index 68b0dc8e..eb36c086 100644 --- a/examples/user_guide/33_Porto_Taxi_Trajectories.ipynb +++ b/examples/user_guide/33_Porto_Taxi_Trajectories.ipynb @@ -34,7 +34,9 @@ { "cell_type": "code", "metadata": {}, - "source": "fig, ax = plt.subplots(figsize=(10, 8))\nax.set_facecolor('#1a1a2e')\ngdf.sample(min(20_000, len(gdf)), random_state=42).plot(\n ax=ax, linewidth=0.1, alpha=0.3, color='#e94560')\nax.set_title(f'{len(gdf):,} taxi trajectories in Porto')\nax.set_axis_off()\nplt.tight_layout()" + "source": "fig, ax = plt.subplots(figsize=(10, 8))\nax.set_facecolor('#1a1a2e')\ngdf.sample(min(20_000, len(gdf)), random_state=42).plot(\n ax=ax, linewidth=0.1, alpha=0.3, color='#e94560')\nax.set_title(f'{len(gdf):,} taxi trajectories in Porto')\nax.set_axis_off()\nplt.tight_layout()", + "outputs": [], + "execution_count": null }, { "cell_type": "code", @@ -45,9 +47,7 @@ }, { "cell_type": "markdown", - "execution_count": null, "metadata": {}, - "outputs": [], "source": "## Rasterize: built-in sum vs. custom log-sum\n\nWe burn the trajectories into the grid three ways:\n\n1. **Trip count** (`merge='count'`): how many trajectories cross each pixel\n2. **Total duration** (`merge='sum'` on `duration_min`): taxi-minutes per pixel\n3. **Log-duration** (custom merge): `sum(log(1 + duration))` per pixel\n\nThe log transform compresses the contribution of long trips. A 60-minute\nairport run contributes `log(61) ~ 4.1` while a 5-minute hop contributes\n`log(6) ~ 1.8` -- a 2:1 ratio instead of 12:1. This lets neighborhood streets\nwhere short trips happen show up alongside the highway corridors." }, { @@ -71,9 +71,7 @@ }, { "cell_type": "markdown", - "execution_count": null, "metadata": {}, - "outputs": [], "source": "The left and center panels are dominated by the main highway corridors and the\ndowntown waterfront area. Side streets and residential neighborhoods barely\nregister.\n\nThe right panel applies `log(1 + x)` before summing, compressing the\nthousand-fold difference between highways and side streets down to about 3--4x.\nYou can trace individual neighborhood roads and see the full street network.\nSame data, different merge function.\n\n**When to use a non-linear merge:** any time a few features dominate the signal\nand you want to see the rest of the distribution. Log-sum works well for data\nthat spans several orders of magnitude." }, { @@ -95,4 +93,4 @@ }, "nbformat": 4, "nbformat_minor": 5 -} \ No newline at end of file +} From 324caced1418ff934eaf24a9ba6f18bc949f1ed3 Mon Sep 17 00:00:00 2001 From: Brendan Collins Date: Tue, 17 Mar 2026 11:42:05 -0700 Subject: [PATCH 4/4] Refactor notebook to user guide structure with individual plots and alert box (#1021) --- .../33_Porto_Taxi_Trajectories.ipynb | 294 +++++++++++++++++- .../images/porto_taxi_lines_preview.png | Bin 0 -> 301669 bytes 2 files changed, 280 insertions(+), 14 deletions(-) create mode 100644 examples/user_guide/images/porto_taxi_lines_preview.png diff --git a/examples/user_guide/33_Porto_Taxi_Trajectories.ipynb b/examples/user_guide/33_Porto_Taxi_Trajectories.ipynb index eb36c086..901befa8 100644 --- a/examples/user_guide/33_Porto_Taxi_Trajectories.ipynb +++ b/examples/user_guide/33_Porto_Taxi_Trajectories.ipynb @@ -3,81 +3,347 @@ { "cell_type": "markdown", "metadata": {}, - "source": "# Porto taxi trajectory rasterization with a custom merge\n\nThis notebook rasterizes 200,000 taxi trajectories from Porto, Portugal as\nGPS-traced lines. Unlike simple pickup-to-dropoff lines, these are full\ntrajectories with a GPS reading every 15 seconds, so they follow actual streets.\n\nWe compare the built-in `sum` merge against a custom log-sum merge that\ncompresses dynamic range, letting minor streets stand out alongside the main\ncorridors.\n\nData source: [ECML/PKDD 2015 Taxi Trajectory Challenge (UCI ML Repository)](https://archive.ics.uci.edu/dataset/339/)" + "source": [ + "# Xarray-Spatial Rasterize: Line rasterization with custom merge\n", + "\n", + "Taxi GPS traces make a good stress test for line rasterization. 200,000\n", + "trajectories from Porto, each with a GPS fix every 15 seconds, give enough\n", + "density to trace the full street network. We use the built-in `sum` merge\n", + "alongside a custom log-sum merge to show how non-linear aggregation changes\n", + "what you can see." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### What you'll build\n", + "\n", + "1. [Download and parse GPS trajectories](#Download-and-parse-GPS-trajectories) from the ECML/PKDD 2015 Porto taxi dataset\n", + "2. [Preview the raw trajectory data](#Preview)\n", + "3. [Rasterize trip counts](#Trip-count) with the built-in `count` merge\n", + "4. [Rasterize total duration](#Total-duration) with the built-in `sum` merge\n", + "5. [Write a custom log-sum merge function](#Custom-merge:-log-duration) that compresses dynamic range\n", + "6. [Compare all three side by side](#Comparison)\n", + "\n", + "![Porto taxi rasterization preview](images/porto_taxi_lines_preview.png)\n", + "\n", + "**Jump to a section:**\n", + "[Data](#Download-and-parse-GPS-trajectories) | [Preview](#Preview) | [Trip count](#Trip-count) | [Duration](#Total-duration) | [Custom merge](#Custom-merge:-log-duration) | [Comparison](#Comparison)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Standard imports plus `json` for parsing GPS polylines, `geopandas` and `shapely` for vector geometry, and `ngjit` for compiling the custom merge function." + ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], - "source": "%matplotlib inline\nimport json\nimport numpy as np\nimport pandas as pd\nimport xarray as xr\nimport geopandas as gpd\nimport matplotlib.pyplot as plt\nfrom shapely.geometry import LineString\n\nimport xrspatial # registers .xrs accessor\nfrom xrspatial.utils import ngjit" + "source": [ + "%matplotlib inline\n", + "import json\n", + "import numpy as np\n", + "import pandas as pd\n", + "import xarray as xr\n", + "\n", + "import geopandas as gpd\n", + "import matplotlib.pyplot as plt\n", + "from matplotlib.patches import Patch\n", + "from shapely.geometry import LineString\n", + "\n", + "import xrspatial # registers .xrs accessor\n", + "from xrspatial.utils import ngjit" + ] }, { "cell_type": "markdown", "metadata": {}, - "source": "## Download and parse trajectories\n\nThe dataset is from the UCI ML Repository (~509 MB download, nested ZIP).\nEach trip has a `POLYLINE` column: a JSON list of `[longitude, latitude]` pairs\nrecorded every 15 seconds. We read the first 200,000 trips to keep things\nmanageable." + "source": [ + "## Download and parse GPS trajectories\n", + "\n", + "The [ECML/PKDD 2015 Taxi Trajectory Challenge](https://archive.ics.uci.edu/dataset/339/) dataset has 1.7 million taxi trips from Porto, Portugal. Each trip has a `POLYLINE` column with `[longitude, latitude]` pairs recorded every 15 seconds. We read the first 200,000 trips from the ~509 MB download." + ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], - "source": "import urllib.request, zipfile, io, tempfile, os\n\nurl = ('https://archive.ics.uci.edu/static/public/339/'\n 'taxi+service+trajectory+prediction+challenge+ecml+pkdd+2015.zip')\n\nprint('Downloading Porto taxi data (~509 MB)...')\ntmpfile, _ = urllib.request.urlretrieve(url)\n\n# Nested ZIP: outer contains train.csv.zip, which contains train.csv\ntmpdir = tempfile.mkdtemp()\nwith zipfile.ZipFile(tmpfile) as outer:\n outer.extract('train.csv.zip', tmpdir)\n\nwith zipfile.ZipFile(os.path.join(tmpdir, 'train.csv.zip')) as inner:\n with inner.open('train.csv') as f:\n df = pd.read_csv(f, nrows=200_000,\n usecols=['POLYLINE', 'MISSING_DATA'])\n\nos.remove(tmpfile)\nprint(f'{len(df):,} rows read')" + "source": [ + "import urllib.request, zipfile, tempfile, os\n", + "\n", + "url = ('https://archive.ics.uci.edu/static/public/339/'\n", + " 'taxi+service+trajectory+prediction+challenge+ecml+pkdd+2015.zip')\n", + "\n", + "print('Downloading Porto taxi data (~509 MB)...')\n", + "tmpfile, _ = urllib.request.urlretrieve(url)\n", + "\n", + "# Nested ZIP: outer contains train.csv.zip, which contains train.csv\n", + "tmpdir = tempfile.mkdtemp()\n", + "with zipfile.ZipFile(tmpfile) as outer:\n", + " outer.extract('train.csv.zip', tmpdir)\n", + "\n", + "with zipfile.ZipFile(os.path.join(tmpdir, 'train.csv.zip')) as inner:\n", + " with inner.open('train.csv') as f:\n", + " df = pd.read_csv(f, nrows=200_000,\n", + " usecols=['POLYLINE', 'MISSING_DATA'])\n", + "\n", + "os.remove(tmpfile)\n", + "\n", + "# Drop trips with missing GPS data\n", + "df = df[df.MISSING_DATA == False].copy()\n", + "\n", + "# Parse polyline JSON, keep trips with at least 2 GPS points\n", + "df['coords'] = df.POLYLINE.apply(json.loads)\n", + "df = df[df.coords.apply(len) >= 2].copy()\n", + "\n", + "# Trip duration in minutes (15 seconds between readings)\n", + "df['duration_min'] = df.coords.apply(lambda c: (len(c) - 1) * 0.25)\n", + "\n", + "# Build LineStrings\n", + "df['geometry'] = df.coords.apply(LineString)\n", + "gdf = gpd.GeoDataFrame(df[['duration_min', 'geometry']],\n", + " geometry='geometry', crs='EPSG:4326')\n", + "\n", + "print(f'{len(gdf):,} trajectories after filtering')\n", + "print(f'Duration: min={gdf.duration_min.min():.1f}, '\n", + " f'median={gdf.duration_min.median():.1f}, '\n", + " f'max={gdf.duration_min.max():.1f} minutes')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Each trajectory is a GPS trace through Porto's streets. Durations range from a few seconds to multi-hour shifts, with a median around 10 minutes." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Preview\n", + "\n", + "20,000 trajectories sampled and plotted on a dark background. The street network and major highways are already visible from the GPS traces alone." + ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], - "source": "# Drop trips with missing GPS data\ndf = df[df.MISSING_DATA == False].copy()\n\n# Parse polyline JSON, keep trips with at least 2 GPS points\ndf['coords'] = df.POLYLINE.apply(json.loads)\ndf = df[df.coords.apply(len) >= 2].copy()\n\n# Trip duration in minutes (15 seconds between readings)\ndf['duration_min'] = df.coords.apply(lambda c: (len(c) - 1) * 0.25)\n\n# Build LineStrings\ndf['geometry'] = df.coords.apply(LineString)\ngdf = gpd.GeoDataFrame(df[['duration_min', 'geometry']],\n geometry='geometry', crs='EPSG:4326')\n\nprint(f'{len(gdf):,} trajectories after filtering')\nprint(f'Duration: min={gdf.duration_min.min():.1f}, '\n f'median={gdf.duration_min.median():.1f}, '\n f'max={gdf.duration_min.max():.1f} minutes')" + "source": [ + "fig, ax = plt.subplots(figsize=(10, 7.5))\n", + "ax.set_facecolor('#1a1a2e')\n", + "gdf.sample(min(20_000, len(gdf)), random_state=42).plot(\n", + " ax=ax, linewidth=0.1, alpha=0.3, color='#e94560')\n", + "ax.set_title(f'{len(gdf):,} taxi trajectories in Porto')\n", + "ax.set_axis_off()\n", + "ax.legend(handles=[Patch(facecolor='#e94560', alpha=0.6, label='GPS trace')],\n", + " loc='lower right', fontsize=11, framealpha=0.9)\n", + "plt.tight_layout()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Raster grid\n", + "\n", + "A template DataArray covering Porto at roughly 25 meters per pixel. This grid sets the output resolution for all three rasterizations." + ] }, { "cell_type": "code", + "execution_count": null, "metadata": {}, - "source": "fig, ax = plt.subplots(figsize=(10, 8))\nax.set_facecolor('#1a1a2e')\ngdf.sample(min(20_000, len(gdf)), random_state=42).plot(\n ax=ax, linewidth=0.1, alpha=0.3, color='#e94560')\nax.set_title(f'{len(gdf):,} taxi trajectories in Porto')\nax.set_axis_off()\nplt.tight_layout()", "outputs": [], - "execution_count": null + "source": [ + "bounds = (-8.72, 41.10, -8.52, 41.22)\n", + "width, height = 800, 600\n", + "\n", + "def make_template(w, h, bounds):\n", + " xmin, ymin, xmax, ymax = bounds\n", + " px, py = (xmax - xmin) / w, (ymax - ymin) / h\n", + " x = np.linspace(xmin + px / 2, xmax - px / 2, w)\n", + " y = np.linspace(ymax - py / 2, ymin + py / 2, h)\n", + " return xr.DataArray(np.zeros((h, w)), dims=['y', 'x'],\n", + " coords={'y': y, 'x': x})\n", + "\n", + "template = make_template(width, height, bounds)\n", + "print(f'Grid: {width}x{height}, '\n", + " f'~{111000 * (bounds[3] - bounds[1]) / height:.0f} m/pixel')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Trip count\n", + "\n", + "The simplest rasterization: count how many trajectories pass through each pixel. High-traffic roads light up. Side streets stay dark." + ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], - "source": "# Porto bounding box\nbounds = (-8.72, 41.10, -8.52, 41.22)\nwidth, height = 800, 600\n\ndef make_template(w, h, bounds):\n xmin, ymin, xmax, ymax = bounds\n px, py = (xmax - xmin) / w, (ymax - ymin) / h\n x = np.linspace(xmin + px / 2, xmax - px / 2, w)\n y = np.linspace(ymax - py / 2, ymin + py / 2, h)\n return xr.DataArray(np.zeros((h, w)), dims=['y', 'x'],\n coords={'y': y, 'x': x})\n\ntemplate = make_template(width, height, bounds)" + "source": [ + "count_raster = template.xrs.rasterize(gdf, merge='count', fill=0)\n", + "\n", + "fig, ax = plt.subplots(figsize=(10, 7.5))\n", + "ax.set_facecolor('black')\n", + "count_raster.where(count_raster > 0).plot.imshow(\n", + " ax=ax, cmap='hot', add_colorbar=True,\n", + " cbar_kwargs={'label': 'Trip count', 'shrink': 0.7})\n", + "ax.set_title('Trip count per pixel')\n", + "ax.set_axis_off()\n", + "plt.tight_layout()" + ] }, { "cell_type": "markdown", "metadata": {}, - "source": "## Rasterize: built-in sum vs. custom log-sum\n\nWe burn the trajectories into the grid three ways:\n\n1. **Trip count** (`merge='count'`): how many trajectories cross each pixel\n2. **Total duration** (`merge='sum'` on `duration_min`): taxi-minutes per pixel\n3. **Log-duration** (custom merge): `sum(log(1 + duration))` per pixel\n\nThe log transform compresses the contribution of long trips. A 60-minute\nairport run contributes `log(61) ~ 4.1` while a 5-minute hop contributes\n`log(6) ~ 1.8` -- a 2:1 ratio instead of 12:1. This lets neighborhood streets\nwhere short trips happen show up alongside the highway corridors." + "source": [ + "## Total duration\n", + "\n", + "Sum up trip durations with `merge='sum'` on the `duration_min` column. Each pixel accumulates the total taxi-minutes of all trips passing through it. Long trips add more weight, so the bright spots shift toward routes with both heavy traffic and longer rides." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "dur_raster = template.xrs.rasterize(\n", + " gdf, column='duration_min', merge='sum', fill=0)\n", + "\n", + "fig, ax = plt.subplots(figsize=(10, 7.5))\n", + "ax.set_facecolor('black')\n", + "dur_raster.where(dur_raster > 0).plot.imshow(\n", + " ax=ax, cmap='hot', add_colorbar=True,\n", + " cbar_kwargs={'label': 'Total duration (minutes)', 'shrink': 0.7})\n", + "ax.set_title('Total duration per pixel (sum merge)')\n", + "ax.set_axis_off()\n", + "plt.tight_layout()" + ] }, { "cell_type": "markdown", "metadata": {}, - "source": "## Results" + "source": [ + "## Custom merge: log-duration\n", + "\n", + "The built-in `sum` merge is linear: a 60-minute airport run contributes 12x more than a 5-minute hop. A few long trips can dominate a pixel's value.\n", + "\n", + "A custom merge function fixes this. We define a `@ngjit`-compiled function that sums `log(1 + duration)` instead of raw duration. The log compresses the 12:1 ratio down to about 2:1 (`log(61) = 4.1` vs `log(6) = 1.8`).\n", + "\n", + "The merge function receives three arguments:\n", + "\n", + "- `pixel`: current pixel value\n", + "- `props`: 1D float64 array of feature properties (`props[0]` is the column value)\n", + "- `is_first`: 1 on first write to this pixel, 0 otherwise" + ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], - "source": "# 1. Trip count\ncount_raster = template.xrs.rasterize(gdf, merge='count', fill=0)\n\n# 2. Total duration (linear sum)\ndur_raster = template.xrs.rasterize(gdf, column='duration_min', merge='sum', fill=0)\n\n# 3. Log-duration (custom non-linear merge)\n@ngjit\ndef log_duration_sum(pixel, props, is_first):\n \"\"\"Sum log(1 + duration) instead of raw duration.\n\n Compresses the contribution of long trips: a 60-min airport run\n contributes log(61) ~ 4.1 while a 5-min hop contributes log(6) ~ 1.8.\n Ratio drops from 12:1 to about 2:1.\n \"\"\"\n val = np.log1p(props[0])\n if is_first:\n return val\n return pixel + val\n\nlog_raster = template.xrs.rasterize(\n gdf, column='duration_min', merge=log_duration_sum, fill=0)" + "source": [ + "@ngjit\n", + "def log_duration_sum(pixel, props, is_first):\n", + " \"\"\"Sum log(1 + duration) instead of raw duration.\"\"\"\n", + " val = np.log1p(props[0])\n", + " if is_first:\n", + " return val\n", + " return pixel + val\n", + "\n", + "log_raster = template.xrs.rasterize(\n", + " gdf, column='duration_min', merge=log_duration_sum, fill=0)\n", + "\n", + "fig, ax = plt.subplots(figsize=(10, 7.5))\n", + "ax.set_facecolor('black')\n", + "log_raster.where(log_raster > 0).plot.imshow(\n", + " ax=ax, cmap='hot', add_colorbar=True,\n", + " cbar_kwargs={'label': 'Log-duration sum', 'shrink': 0.7})\n", + "ax.set_title('Log-duration per pixel (custom merge)')\n", + "ax.set_axis_off()\n", + "plt.tight_layout()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Comparison\n", + "\n", + "All three rasterizations side by side. Count and duration look similar since busy roads carry both more trips and more total minutes. The log-duration panel looks different: it compresses the thousand-fold range between highways and side streets down to 3-4x, so the full street network becomes readable." + ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], - "source": "import pathlib\npathlib.Path('images').mkdir(exist_ok=True)\n\nfig, axes = plt.subplots(1, 3, figsize=(20, 8), facecolor='black')\n\ntitles = ['Trip count', 'Total duration (sum)', 'Log-duration (custom merge)']\nrasters = [count_raster, dur_raster, log_raster]\n\nfor ax, raster, title in zip(axes, rasters, titles):\n ax.set_facecolor('black')\n masked = raster.where(raster > 0)\n masked.plot.imshow(ax=ax, cmap='hot', add_colorbar=False,\n interpolation='nearest')\n ax.set_title(title, color='white', fontsize=14, pad=10)\n ax.set_axis_off()\n\nplt.tight_layout()\nplt.savefig('images/porto_taxi_lines_preview.png',\n bbox_inches='tight', dpi=120, facecolor='black')" + "source": [ + "import pathlib\n", + "pathlib.Path('images').mkdir(exist_ok=True)\n", + "\n", + "fig, axes = plt.subplots(1, 3, figsize=(20, 8), facecolor='black')\n", + "\n", + "titles = ['Trip count', 'Total duration (sum)', 'Log-duration (custom merge)']\n", + "rasters = [count_raster, dur_raster, log_raster]\n", + "\n", + "for ax, raster, title in zip(axes, rasters, titles):\n", + " ax.set_facecolor('black')\n", + " masked = raster.where(raster > 0)\n", + " masked.plot.imshow(ax=ax, cmap='hot', add_colorbar=False,\n", + " interpolation='nearest')\n", + " ax.set_title(title, color='white', fontsize=14, pad=10)\n", + " ax.set_axis_off()\n", + "\n", + "plt.tight_layout()\n", + "plt.savefig('images/porto_taxi_lines_preview.png',\n", + " bbox_inches='tight', dpi=120, facecolor='black')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The count and duration panels are dominated by the main corridors and the downtown waterfront. Side streets barely register. The log-duration panel pulls those streets into visible range without blowing out the highways. Same data, different merge function.\n", + "\n", + "When to reach for a non-linear merge: when a handful of features dominate the signal and you want to see the rest. Log-sum fits data that spans several orders of magnitude." + ] }, { "cell_type": "markdown", "metadata": {}, - "source": "The left and center panels are dominated by the main highway corridors and the\ndowntown waterfront area. Side streets and residential neighborhoods barely\nregister.\n\nThe right panel applies `log(1 + x)` before summing, compressing the\nthousand-fold difference between highways and side streets down to about 3--4x.\nYou can trace individual neighborhood roads and see the full street network.\nSame data, different merge function.\n\n**When to use a non-linear merge:** any time a few features dominate the signal\nand you want to see the rest of the distribution. Log-sum works well for data\nthat spans several orders of magnitude." + "source": [ + "
\n", + "Coordinates are in WGS 84 (degrees). The pixel grid here is defined in longitude/latitude, so pixels are not square on the ground. At Porto's latitude (~41\u00b0N), one degree of longitude covers about 84 km while one degree of latitude covers about 111 km. If metric pixel size matters for your analysis, reproject both the geometries and the grid to a local projected CRS (e.g. EPSG:3763 for Portugal) before rasterizing.\n", + "
" + ] }, { "cell_type": "markdown", "metadata": {}, - "source": "### References\n\n- [ECML/PKDD 2015 Taxi Trajectory Challenge (UCI)](https://archive.ics.uci.edu/dataset/339/)\n- [Bresenham's line algorithm (Wikipedia)](https://en.wikipedia.org/wiki/Bresenham%27s_line_algorithm)\n- [xrspatial.rasterize API docs](https://xarray-spatial.readthedocs.io/en/latest/reference/_autosummary/xrspatial.rasterize.html)" + "source": [ + "### References\n", + "\n", + "- [ECML/PKDD 2015 Taxi Trajectory Challenge (UCI)](https://archive.ics.uci.edu/dataset/339/)\n", + "- [Bresenham's line algorithm (Wikipedia)](https://en.wikipedia.org/wiki/Bresenham%27s_line_algorithm)\n", + "- [xrspatial.rasterize API docs](https://xarray-spatial.readthedocs.io/en/latest/reference/_autosummary/xrspatial.rasterize.html)\n", + "- [Custom merge functions (Notebook 28)](28_Rasterize.ipynb)" + ] } ], "metadata": { diff --git a/examples/user_guide/images/porto_taxi_lines_preview.png 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