From 1f658fbe49420364ac667bcaa988cad7d7a4ccca Mon Sep 17 00:00:00 2001 From: RAJVEER42 Date: Sun, 5 Jul 2026 00:31:17 +0530 Subject: [PATCH 1/2] Add vector data analysis tutorial New beginner/intermediate tutorial covering the core vector toolkit: - exploring features and attributes (v.info, v.db.select) - selecting by attribute (v.extract) and by location (v.select) - buffering (v.buffer) and overlaying (v.overlay) layers - counting features per area (v.vect.stats) for a thematic map Worked example uses the North Carolina schools, roads, and ZIP codes, and the grass.tools API (GRASS 8.5). Categories: vector, beginner, intermediate, Python. --- .../vector_analysis/images/buffer.webp | Bin 0 -> 47192 bytes .../vector_analysis/images/choropleth.webp | Bin 0 -> 46740 bytes .../vector_analysis/images/elementary.webp | Bin 0 -> 40114 bytes .../vector_analysis/images/near_roads.webp | Bin 0 -> 41104 bytes .../vector_analysis/images/overlay.webp | Bin 0 -> 51502 bytes .../vector_analysis/images/overview.webp | Bin 0 -> 41592 bytes .../vector_analysis/images/thumbnail.webp | Bin 0 -> 46740 bytes .../vector_analysis/vector_analysis.qmd | 279 ++++++++++++++++++ 8 files changed, 279 insertions(+) create mode 100644 content/tutorials/vector_analysis/images/buffer.webp create mode 100644 content/tutorials/vector_analysis/images/choropleth.webp create mode 100644 content/tutorials/vector_analysis/images/elementary.webp create mode 100644 content/tutorials/vector_analysis/images/near_roads.webp create mode 100644 content/tutorials/vector_analysis/images/overlay.webp create mode 100644 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a/content/tutorials/vector_analysis/vector_analysis.qmd b/content/tutorials/vector_analysis/vector_analysis.qmd index 29d8328..efb61d9 100644 --- a/content/tutorials/vector_analysis/vector_analysis.qmd +++ b/content/tutorials/vector_analysis/vector_analysis.qmd @@ -1,5 +1,5 @@ --- -title: "Vector Data Analysis with GRASS" +title: "Basic Vector Data Analysis with GRASS" author: Rajveer Bishnoi date: 2026-07-05 date-modified: today @@ -36,11 +36,9 @@ Along the way we will: - **select by attribute** with [v.extract](https://grass.osgeo.org/grass-stable/manuals/v.extract.html), - **buffer** features with [v.buffer](https://grass.osgeo.org/grass-stable/manuals/v.buffer.html), - **select by location** with [v.select](https://grass.osgeo.org/grass-stable/manuals/v.select.html), -- combine layers with [v.overlay](https://grass.osgeo.org/grass-stable/manuals/v.overlay.html), and +- perform spatial operations with [v.overlay](https://grass.osgeo.org/grass-stable/manuals/v.overlay.html), and - count features per area with [v.vect.stats](https://grass.osgeo.org/grass-stable/manuals/v.vect.stats.html). -![Number of schools per ZIP code area in Wake County, from few (light) to many (dark).](images/thumbnail.webp) - ::: {.callout-note title="Demo dataset"} This tutorial uses the standard GRASS [North Carolina sample dataset](https://grass.osgeo.org/sampledata/north_carolina/nc_spm_08_grass7.zip) @@ -51,17 +49,11 @@ and `zipcodes_wake` (areas). ::: {.callout-note title="How to run this tutorial"} The code uses the GRASS Python API in a Jupyter notebook. If you are new to running GRASS from Python, see the -[Get started](https://grass-tutorials.osgeo.org/content/tutorials/get_started/fast_track.html) -tutorials. Every step also works from the GRASS GUI or command line — just use the +[Get started with GRASS & Python](https://grass-tutorials.osgeo.org/content/tutorials/get_started/fast_track_grass_and_python.html) +tutorial. Every step also works from the GRASS GUI or command line — just use the tool name (for example `v.buffer`) with the same parameters. ::: -::: {.callout-note title="GRASS version"} -The examples use the [grass.tools API](https://grass.osgeo.org/grass-stable/manuals/python_intro.html) -(the `Tools` class), introduced in GRASS 8.5. On earlier versions you can run the -same tools with `gs.run_command("v.buffer", ...)`. -::: - # Setup and exploration Start a GRASS session and set the @@ -87,6 +79,12 @@ tools = Tools() tools.g_region(vector="zipcodes_wake") ``` +::: {.callout-note title="GRASS version"} +The examples use the [grass.tools API](https://grass.osgeo.org/grass-stable/manuals/python_intro.html) +(the `Tools` class), introduced in GRASS 8.5. On earlier versions you can run the +same tools with `gs.run_command("v.buffer", ...)`. +::: + Before analyzing a layer, it helps to know what it contains. [v.info](https://grass.osgeo.org/grass-stable/manuals/v.info.html) reports the feature types and counts, and its `-c` flag lists the attribute columns. @@ -99,26 +97,40 @@ print(tools.v_info(map="schools_wake", flags="t").stdout) print(tools.v_info(map="schools_wake", flags="c").stdout) ``` -`schools_wake` has 167 point features. To peek at a few attribute values, use -[v.db.select](https://grass.osgeo.org/grass-stable/manuals/v.db.select.html): +`schools_wake` has 167 point features. Let's look at the attribute table itself. +[v.db.select](https://grass.osgeo.org/grass-stable/manuals/v.db.select.html) can +return the table as JSON, which [pandas](https://pandas.pydata.org/) turns into a tidy +table: ```{python} -print(tools.v_db_select(map="schools_wake", columns="NAMESHORT,GLEVEL", - where="GLEVEL='H'").stdout) +import json +import pandas as pd + +records = json.loads( + tools.v_db_select( + map="schools_wake", + columns="NAMESHORT,GLEVEL,ADDRCITY,CORECAPACI", + format="json", + ).stdout +)["records"] + +pd.DataFrame(records).head() ``` -Let's start with an overview map: the ZIP code areas, the major roads, and every -school. In [grass.jupyter](https://grass.osgeo.org/grass-stable/manuals/libpython/grass.jupyter.html), +The `GLEVEL` column records each school's grade level (`E` for elementary, `M` for +middle, `H` for high, and so on) — we will use it in a moment to select schools by +attribute. Let's first draw an overview map: the ZIP code areas, the major roads, and +every school. In [grass.jupyter](https://grass.osgeo.org/grass-stable/manuals/libpython/grass.jupyter.html), a `Map` object collects display layers and renders them together. ```{python} -overview = gj.Map(width=800) +overview = gj.Map(width=500) overview.d_vect(map="zipcodes_wake", type="area", fill_color="235:235:235", color="180:180:180") overview.d_vect(map="roadsmajor", color="90:90:90", width=1) overview.d_vect(map="schools_wake", icon="basic/circle", size=7, fill_color="200:30:30", color="white") -overview.d_barscale(flags="n", at=(4, 6)) +overview.d_barscale(flags="n", at=(3, 6), bgcolor="white") overview.show() ``` @@ -126,8 +138,7 @@ overview.show() # Selecting by attribute -The `GLEVEL` column records each school's grade level (`E` for elementary, `M` for -middle, `H` for high, and so on). To keep just the **95 elementary schools**, use +To keep just the **95 elementary schools** (`GLEVEL='E'`), use [v.extract](https://grass.osgeo.org/grass-stable/manuals/v.extract.html) with a SQL `where` clause. @@ -137,7 +148,7 @@ print(tools.v_info(map="elementary", flags="t").stdout) # points=95 ``` ```{python} -attr_map = gj.Map(width=800) +attr_map = gj.Map(width=500) attr_map.d_vect(map="zipcodes_wake", type="area", fill_color="235:235:235", color="180:180:180") attr_map.d_vect(map="roadsmajor", color="90:90:90", width=1) @@ -145,7 +156,7 @@ attr_map.d_vect(map="schools_wake", icon="basic/circle", size=6, fill_color="180:180:180", color="none") attr_map.d_vect(map="elementary", icon="basic/circle", size=8, fill_color="30:120:200", color="white") -attr_map.d_barscale(flags="n", at=(4, 6)) +attr_map.d_barscale(flags="n", at=(3, 6), bgcolor="white") attr_map.show() ``` @@ -162,12 +173,12 @@ tools.v_buffer(input="roadsmajor", output="road_buffer", distance=500) ``` ```{python} -buffer_map = gj.Map(width=800) +buffer_map = gj.Map(width=500) buffer_map.d_vect(map="zipcodes_wake", type="area", fill_color="235:235:235", color="180:180:180") buffer_map.d_vect(map="road_buffer", type="area", fill_color="255:200:120", color="none") buffer_map.d_vect(map="roadsmajor", color="120:70:20", width=1) -buffer_map.d_barscale(flags="n", at=(4, 6)) +buffer_map.d_barscale(flags="n", at=(3, 6), bgcolor="white") buffer_map.show() ``` @@ -190,7 +201,7 @@ Only **15 of the 95 elementary schools** lie within 500 m of a major road — a reminder that major roads here are highways, while most schools sit on local streets. ```{python} -near_map = gj.Map(width=800) +near_map = gj.Map(width=500) near_map.d_vect(map="zipcodes_wake", type="area", fill_color="235:235:235", color="180:180:180") near_map.d_vect(map="road_buffer", type="area", fill_color="255:230:200", color="none") @@ -199,7 +210,7 @@ near_map.d_vect(map="elementary", icon="basic/circle", size=7, fill_color="150:150:150", color="none") near_map.d_vect(map="schools_near", icon="basic/circle", size=9, fill_color="20:150:60", color="white") -near_map.d_barscale(flags="n", at=(4, 6)) +near_map.d_barscale(flags="n", at=(3, 6), bgcolor="white") near_map.show() ``` @@ -210,8 +221,7 @@ near_map.show() [v.overlay](https://grass.osgeo.org/grass-stable/manuals/v.overlay.html) combines two area maps with set operations. With `operator=and` we get the **intersection** — the part of the road corridor that falls within each ZIP code area. The output keeps the -attributes of both inputs, so you could, for example, measure how much of each ZIP -code is within reach of a major road. +attributes of both inputs (prefixed `a_` and `b_`). ```{python} tools.v_overlay(ainput="road_buffer", binput="zipcodes_wake", @@ -219,23 +229,39 @@ tools.v_overlay(ainput="road_buffer", binput="zipcodes_wake", ``` ```{python} -overlay_map = gj.Map(width=800) +overlay_map = gj.Map(width=500) overlay_map.d_vect(map="zipcodes_wake", type="area", fill_color="235:235:235", color="180:180:180") overlay_map.d_vect(map="buffer_by_zip", type="area", fill_color="120:180:220", color="80:80:80", width=1) -overlay_map.d_barscale(flags="n", at=(4, 6)) +overlay_map.d_barscale(flags="n", at=(3, 6), bgcolor="white") overlay_map.show() ``` ![The road buffer intersected with the ZIP code areas; polygons are split at ZIP boundaries.](images/overlay.webp) +Because each piece now carries its ZIP code, we can measure how much of each ZIP code +is within reach of a major road. +[v.to.db](https://grass.osgeo.org/grass-stable/manuals/v.to.db.html) computes the area +of every polygon, and a grouped SQL query with +[db.select](https://grass.osgeo.org/grass-stable/manuals/db.select.html) sums it per +ZIP code: + +```{python} +tools.v_to_db(map="buffer_by_zip", option="area", columns="reach_area", units="kilometers") + +print(tools.db_select( + sql="SELECT b_ZIPNAME, ROUND(SUM(reach_area), 1) AS reach_km2 " + "FROM buffer_by_zip GROUP BY b_ZIPNAME ORDER BY reach_km2 DESC" +).stdout) +``` + # Counting features per area A common summary is "how many points fall in each area?" [v.vect.stats](https://grass.osgeo.org/grass-stable/manuals/v.vect.stats.html) counts the points of one map within the areas of another and writes the result to the area -map's attribute table. We first copy the ZIP codes with +map's attribute table. We first create a copy of the ZIP codes map with [g.copy](https://grass.osgeo.org/grass-stable/manuals/g.copy.html) so the original is untouched. @@ -250,13 +276,13 @@ choropleth with using quantile classes so each color holds a similar number of areas. ```{python} -choropleth = gj.Map(width=800) +choropleth = gj.Map(width=500) choropleth.d_vect_thematic( map="zip_counts", column="n_schools", algorithm="qua", nclasses=5, colors="255:245:215,255:200:120,240:140:60,200:70:30,140:20:20", ) choropleth.d_vect(map="roadsmajor", color="120:120:120", width=1) -choropleth.d_barscale(flags="n", at=(4, 6)) +choropleth.d_barscale(flags="n", at=(3, 6), bgcolor="white") choropleth.show() ``` @@ -272,8 +298,6 @@ core vector toolkit in GRASS: - **buffering** (`v.buffer`) and **overlaying** (`v.overlay`) layers, and - **counting** points per area (`v.vect.stats`) for a thematic map. -These operations combine into most vector workflows. To turn results like the -choropleth into a finished, annotated map, continue with -[Making Thematic Maps](../thematic_maps/thematic_maps.qmd). To bring raster terrain -into the analysis, see -[Visualizing and Modeling Terrain from DEMs in GRASS](../terrain_and_DEMs/GRASS_terrain.qmd). +The operations described here are common in most vector workflows. To turn results +like the choropleth into a finished, annotated map, continue with +[Making Thematic Maps](../thematic_maps/thematic_maps.qmd).

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+lightbox: true +image: images/thumbnail.webp +categories: [vector, beginner, intermediate, Python] +description: > + Learn the core vector operations in GRASS: exploring attributes, selecting by + attribute and by location, buffering, overlay, and counting features per area. +format: + ipynb: default + html: + toc: true + code-tools: true + code-copy: true + code-fold: false +engine: jupyter +execute: + eval: false +jupyter: python3 +--- + +# Introduction + +Vector data represents geographic features as **points**, **lines**, and **areas**, +each linked to a table of **attributes**. GRASS has a large family of `v.*` tools for +working with them. This tutorial introduces the operations you will reach for most +often, using a single worked example: analyzing how schools in Wake County, North +Carolina relate to major roads and administrative areas. + +Along the way we will: + +- explore a vector map and its attribute table, +- **select by attribute** with [v.extract](https://grass.osgeo.org/grass-stable/manuals/v.extract.html), +- **buffer** features with [v.buffer](https://grass.osgeo.org/grass-stable/manuals/v.buffer.html), +- **select by location** with [v.select](https://grass.osgeo.org/grass-stable/manuals/v.select.html), +- combine layers with [v.overlay](https://grass.osgeo.org/grass-stable/manuals/v.overlay.html), and +- count features per area with [v.vect.stats](https://grass.osgeo.org/grass-stable/manuals/v.vect.stats.html). + +![Number of schools per ZIP code area in Wake County, from few (light) to many (dark).](images/thumbnail.webp) + +::: {.callout-note title="Demo dataset"} +This tutorial uses the standard GRASS +[North Carolina sample dataset](https://grass.osgeo.org/sampledata/north_carolina/nc_spm_08_grass7.zip) +(`nc_spm_08_grass7`), which includes `schools_wake` (points), `roadsmajor` (lines), +and `zipcodes_wake` (areas). +::: + +::: {.callout-note title="How to run this tutorial"} +The code uses the GRASS Python API in a Jupyter notebook. If you are new to running +GRASS from Python, see the +[Get started](https://grass-tutorials.osgeo.org/content/tutorials/get_started/fast_track.html) +tutorials. Every step also works from the GRASS GUI or command line — just use the +tool name (for example `v.buffer`) with the same parameters. +::: + +::: {.callout-note title="GRASS version"} +The examples use the [grass.tools API](https://grass.osgeo.org/grass-stable/manuals/python_intro.html) +(the `Tools` class), introduced in GRASS 8.5. On earlier versions you can run the +same tools with `gs.run_command("v.buffer", ...)`. +::: + +# Setup and exploration + +Start a GRASS session and set the +[computational region](https://grass.osgeo.org/grass-stable/manuals/g.region.html) to +the extent of the ZIP code areas, which cover the whole county. For vector-only work +the region mainly controls what the maps display. + +```{python} +import sys +import subprocess + +sys.path.append( + subprocess.check_output(["grass", "--config", "python_path"], text=True).strip() +) + +import grass.script as gs +import grass.jupyter as gj +from grass.tools import Tools + +session = gj.init("~/grassdata", "nc_spm_08_grass7", "PERMANENT") +tools = Tools() + +tools.g_region(vector="zipcodes_wake") +``` + +Before analyzing a layer, it helps to know what it contains. +[v.info](https://grass.osgeo.org/grass-stable/manuals/v.info.html) reports the feature +types and counts, and its `-c` flag lists the attribute columns. + +```{python} +# Feature summary (points, lines, areas ...) +print(tools.v_info(map="schools_wake", flags="t").stdout) + +# Attribute columns +print(tools.v_info(map="schools_wake", flags="c").stdout) +``` + +`schools_wake` has 167 point features. To peek at a few attribute values, use +[v.db.select](https://grass.osgeo.org/grass-stable/manuals/v.db.select.html): + +```{python} +print(tools.v_db_select(map="schools_wake", columns="NAMESHORT,GLEVEL", + where="GLEVEL='H'").stdout) +``` + +Let's start with an overview map: the ZIP code areas, the major roads, and every +school. In [grass.jupyter](https://grass.osgeo.org/grass-stable/manuals/libpython/grass.jupyter.html), +a `Map` object collects display layers and renders them together. + +```{python} +overview = gj.Map(width=800) +overview.d_vect(map="zipcodes_wake", type="area", + fill_color="235:235:235", color="180:180:180") +overview.d_vect(map="roadsmajor", color="90:90:90", width=1) +overview.d_vect(map="schools_wake", icon="basic/circle", size=7, + fill_color="200:30:30", color="white") +overview.d_barscale(flags="n", at=(4, 6)) +overview.show() +``` + +![Wake County: ZIP code areas (gray), major roads, and all 167 schools (red).](images/overview.webp) + +# Selecting by attribute + +The `GLEVEL` column records each school's grade level (`E` for elementary, `M` for +middle, `H` for high, and so on). To keep just the **95 elementary schools**, use +[v.extract](https://grass.osgeo.org/grass-stable/manuals/v.extract.html) with a SQL +`where` clause. + +```{python} +tools.v_extract(input="schools_wake", output="elementary", where="GLEVEL='E'") +print(tools.v_info(map="elementary", flags="t").stdout) # points=95 +``` + +```{python} +attr_map = gj.Map(width=800) +attr_map.d_vect(map="zipcodes_wake", type="area", + fill_color="235:235:235", color="180:180:180") +attr_map.d_vect(map="roadsmajor", color="90:90:90", width=1) +attr_map.d_vect(map="schools_wake", icon="basic/circle", size=6, + fill_color="180:180:180", color="none") +attr_map.d_vect(map="elementary", icon="basic/circle", size=8, + fill_color="30:120:200", color="white") +attr_map.d_barscale(flags="n", at=(4, 6)) +attr_map.show() +``` + +![Elementary schools (blue) selected from all schools (gray) by attribute.](images/elementary.webp) + +# Buffering + +A **buffer** is a zone of a given distance around features. Here we buffer the major +roads by 500 m with [v.buffer](https://grass.osgeo.org/grass-stable/manuals/v.buffer.html) +to represent an "along a major road" corridor. The result is an area map. + +```{python} +tools.v_buffer(input="roadsmajor", output="road_buffer", distance=500) +``` + +```{python} +buffer_map = gj.Map(width=800) +buffer_map.d_vect(map="zipcodes_wake", type="area", + fill_color="235:235:235", color="180:180:180") +buffer_map.d_vect(map="road_buffer", type="area", fill_color="255:200:120", color="none") +buffer_map.d_vect(map="roadsmajor", color="120:70:20", width=1) +buffer_map.d_barscale(flags="n", at=(4, 6)) +buffer_map.show() +``` + +![A 500 m buffer (orange) around the major roads.](images/buffer.webp) + +# Selecting by location + +Now we combine two layers spatially: +[v.select](https://grass.osgeo.org/grass-stable/manuals/v.select.html) keeps features +of one map based on their spatial relationship to another. With `operator=overlap`, +we keep the elementary schools that fall inside the road buffer. + +```{python} +tools.v_select(ainput="elementary", binput="road_buffer", + output="schools_near", operator="overlap") +print(tools.v_info(map="schools_near", flags="t").stdout) # points=15 +``` + +Only **15 of the 95 elementary schools** lie within 500 m of a major road — a +reminder that major roads here are highways, while most schools sit on local streets. + +```{python} +near_map = gj.Map(width=800) +near_map.d_vect(map="zipcodes_wake", type="area", + fill_color="235:235:235", color="180:180:180") +near_map.d_vect(map="road_buffer", type="area", fill_color="255:230:200", color="none") +near_map.d_vect(map="roadsmajor", color="150:110:60", width=1) +near_map.d_vect(map="elementary", icon="basic/circle", size=7, + fill_color="150:150:150", color="none") +near_map.d_vect(map="schools_near", icon="basic/circle", size=9, + fill_color="20:150:60", color="white") +near_map.d_barscale(flags="n", at=(4, 6)) +near_map.show() +``` + +![Elementary schools within 500 m of a major road (green) versus the rest (gray).](images/near_roads.webp) + +# Overlaying layers + +[v.overlay](https://grass.osgeo.org/grass-stable/manuals/v.overlay.html) combines two +area maps with set operations. With `operator=and` we get the **intersection** — the +part of the road corridor that falls within each ZIP code area. The output keeps the +attributes of both inputs, so you could, for example, measure how much of each ZIP +code is within reach of a major road. + +```{python} +tools.v_overlay(ainput="road_buffer", binput="zipcodes_wake", + operator="and", output="buffer_by_zip") +``` + +```{python} +overlay_map = gj.Map(width=800) +overlay_map.d_vect(map="zipcodes_wake", type="area", + fill_color="235:235:235", color="180:180:180") +overlay_map.d_vect(map="buffer_by_zip", type="area", + fill_color="120:180:220", color="80:80:80", width=1) +overlay_map.d_barscale(flags="n", at=(4, 6)) +overlay_map.show() +``` + +![The road buffer intersected with the ZIP code areas; polygons are split at ZIP boundaries.](images/overlay.webp) + +# Counting features per area + +A common summary is "how many points fall in each area?" +[v.vect.stats](https://grass.osgeo.org/grass-stable/manuals/v.vect.stats.html) counts +the points of one map within the areas of another and writes the result to the area +map's attribute table. We first copy the ZIP codes with +[g.copy](https://grass.osgeo.org/grass-stable/manuals/g.copy.html) so the original is +untouched. + +```{python} +tools.g_copy(vector=("zipcodes_wake", "zip_counts")) +tools.v_vect_stats(points="schools_wake", areas="zip_counts", count_column="n_schools") +``` + +Each ZIP code now has an `n_schools` value (ranging from 0 to 17 here). We map it as a +choropleth with +[d.vect.thematic](https://grass.osgeo.org/grass-stable/manuals/d.vect.thematic.html), +using quantile classes so each color holds a similar number of areas. + +```{python} +choropleth = gj.Map(width=800) +choropleth.d_vect_thematic( + map="zip_counts", column="n_schools", algorithm="qua", nclasses=5, + colors="255:245:215,255:200:120,240:140:60,200:70:30,140:20:20", +) +choropleth.d_vect(map="roadsmajor", color="120:120:120", width=1) +choropleth.d_barscale(flags="n", at=(4, 6)) +choropleth.show() +``` + +![Schools per ZIP code area, classified into five quantiles from light (few) to dark (many).](images/choropleth.webp) + +# Summary + +Using the North Carolina schools, roads, and ZIP codes, you have worked through the +core vector toolkit in GRASS: + +- exploring features and attributes with `v.info` and `v.db.select`, +- **selecting by attribute** (`v.extract`) and **by location** (`v.select`), +- **buffering** (`v.buffer`) and **overlaying** (`v.overlay`) layers, and +- **counting** points per area (`v.vect.stats`) for a thematic map. + +These operations combine into most vector workflows. To turn results like the +choropleth into a finished, annotated map, continue with +[Making Thematic Maps](../thematic_maps/thematic_maps.qmd). To bring raster terrain +into the analysis, see +[Visualizing and Modeling Terrain from DEMs in GRASS](../terrain_and_DEMs/GRASS_terrain.qmd). From 5a96f473e202cd5fb60f0f7f9585dccb90827286 Mon Sep 17 00:00:00 2001 From: RAJVEER42 Date: Sun, 12 Jul 2026 20:31:17 +0530 Subject: [PATCH 2/2] Address review: fix images, add attribute table and area computation - regenerate figures with white background, smaller size (width 500), and a legible scale bar (white background box) - retitle to "Basic Vector Data Analysis with GRASS" - show the attribute table (v.db.select JSON -> pandas) before selecting on GLEVEL, so the selection is motivated - add an area-within-reach computation (v.to.db + grouped db.select) to the overlay section - reword the v.overlay intro bullet; move the GRASS-version callout below the setup code to avoid stacked callouts - fix the get-started link to the Python quick start - drop the unmotivated terrain cross-link; minor wording fixes --- .../vector_analysis/images/buffer.webp | Bin 47192 -> 25964 bytes .../vector_analysis/images/choropleth.webp | Bin 46740 -> 29126 bytes 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