spa-l2-lagos-hotspot-overlaps
Map (reference ← swipe → agent)
0:00
Hot-spot map for the Lagos housing brief. `lagos_landuse` carries land-use polygons with a population density attribute; `lagos_hex_grid` is a hex grid. I need the top 10 % of hex cells ranked by area-weighted mean population density across overlapping land-use polygons. Tiny polygons under 100 m² are noise and should be excluded.
I need two output files that share exactly the same set of `hex_id` values, one row per cell. `hotspots.geoparquet` is a GeoParquet (Polygon or MultiPolygon geometry) in Nigeria's national grid with columns `hex_id`, `rank`, `area_weighted_density`, and `geometry`. `hotspot_ranking.parquet` is a plain Parquet with no geometry, carrying `hex_id`, `rank`, `area_weighted_density`, `n_overlap_polygons` (integer), and `n_slivers_filtered` (integer). In both files `rank` must be a unique integer starting at 1 where ascending rank corresponds to descending `area_weighted_density`.
0:00
System info
{
"adapter": "openrouter",
"model": "google/gemma-4-26b-a4b-it",
"base_url": "https://openrouter.ai/api/v1"
}
0:01
Bash
ls -F
ls -F
lagos_hex_grid.geojson lagos_landuse.geojson
0:05
Write
/work/check_data.py
content · 17 lines · py
import geopandas as gpd
# Check shapes and info
landuse = gpd.read_file('lagos_landuse.geojson')
hexgrid = gpd.read_file('lagos_hex_grid.geojson')
print("Landuse info:")
print(landuse.info())
print(landuse.head())
print("\nHexgrid info:")
print(hexgrid.info())
print(hexgrid.head())
print("\nLanduse CRS:", landuse.crs)
print("Hexgrid CRS:", hexgrid.crs)
Wrote /work/check_data.py (359 chars).
0:06
Bash
python /work/check_data.py
python /work/check_data.py
Landuse info:
<class 'geopandas.geodataframe.GeoDataFrame'>
RangeIndex: 5542 entries, 0 to 5541
Data columns (total 4 columns):
# Column Non-Null Count Dtype
--- ------ -------------- -----
0 id 5542 non-null str
1 class 5542 non-null str
2 pop_density 5542 non-null float64
3 geometry 5542 non-null geometry
dtypes: float64(1), geometry(1), str(2)
memory usage: 335.8 KB
None
id ... geometry
0 004ca249-d2cf-3617-906e-dea1138e762b ... POLYGON ((3.46992 6.44615, 3.46993 6.44566, 3....
1 006a7dc6-2b5e-34fa-84a2-8a679620c9de ... POLYGON ((3.42136 6.43091, 3.42118 6.43051, 3....
2 00a334d1-7e8e-3e4c-8565-3501d4ed74df ... POLYGON ((3.45824 6.43361, 3.45872 6.43306, 3....
3 00af9ff7-3138-37a7-bbb8-0a2fbe2bb8e2 ... POLYGON ((3.34834 6.61603, 3.34842 6.61593, 3....
4 00d4b7d6-09b5-3d43-97c5-009fd8c97362 ... POLYGON ((3.31147 6.48073, 3.31041 6.47971, 3....
[5 rows x 4 columns]
Hexgrid info:
<class 'geopandas.geodataframe.GeoDataFrame'>
RangeIndex: 1782 entries, 0 to 1781
Data columns (total 2 columns):
# Column Non-Null Count Dtype
--- ------ -------------- -----
0 hex_id 1782 non-null str
1 geometry 1782 non-null geometry
dtypes: geometry(1), str(1)
memory usage: 41.9 KB
None
hex_id geometry
0 H000-000 POLYGON ((3.25491 6.40082, 3.2523 6.40535, 3.2...
1 H000-001 POLYGON ((3.25491 6.40987, 3.2523 6.41439, 3.2...
2 H000-002 POLYGON ((3.25492 6.41891, 3.25231 6.42344, 3....
3 H000-003 POLYGON ((3.25492 6.42796, 3.25231 6.43248, 3....
4 H000-004 POLYGON ((3.25493 6.43701, 3.25232 6.44153, 3....
Landuse CRS: EPSG:4326
Hexgrid CRS: EPSG:4326
1:01
Write
/work/solve.py
content · 146 lines · py
import geopandas as gpd
import pandas as pd
import numpy as np
def solve():
# Load data
landuse = gpd.read_file('lagos_landuse.geojson')
hexgrid = gpd.read_file('lagos_hex_grid.geojson')
# 1. Project to a metric CRS for area calculations
# Nigeria uses EPSG:26331 (UTM Zone 31N) or similar, but let's use a generic Africa UTM or just a local one if we can.
# Actually, let's use EPSG:3857 for simplicity or EPSG:26331 if we want accuracy.
# A better way is to find a suitable UTM zone. Lagos is around 6.5N, 3.4E.
# UTM Zone 31N is EPSG:32631.
target_crs = 'EPSG:32631'
landuse_proj = landuse.to_crs(target_crs)
hexgrid_proj = hexgrid.to_crs(target_crs)
# 2. Filter out slivers (< 100 m2)
landuse_proj['area'] = landuse_proj.geometry.area
landuse_proj['is_sliver'] = landuse_proj['area'] < 100
n_slivers_filtered = landuse_proj['is_sliver'].sum()
# Keep non-slivers for the intersection calculation
landuse_clean = landuse_proj[~landuse_proj['is_sliver']].copy()
# 3. Spatial intersection
# We need to intersect hexes with landuse polygons.
# To perform this efficiently, we'll use overlay or a spatial join approach.
# Since we need area-weighted mean, overlay is best.
# Overlay hexgrid with landuse_clean
# This will split landuse polygons by hex boundaries.
intersections = gpd.overlay(landuse_clean, hexgrid_proj, how='intersection')
# intersections now has: landuse columns + hex_id + geometry
# The geometry is the intersection part.
intersections['inter_area'] = intersections.geometry.area
# Calculate area-weighted density per hex
# Area-weighted density = Sum(density_i * area_i) / Sum(area_i)
# where area_i is the area of the intersection of hex and polygon_i
# Group by hex_id
grouped = intersections.groupby('hex_id').agg(
weighted_density_sum=('pop_density', lambda x: (x * intersections.loc[x.index, 'inter_area']).sum()),
total_area=('inter_area', 'sum'),
n_overlap_polygons=('id', 'count')
).reset_index()
# We must also account for the slivers in the 'n_overlap_polygons' count?
# The prompt says "n_overlap_polygons" and "n_slivers_filtered".
# Usually "n_overlap_polygons" refers to the ones used for the calculation.
# However, the instruction says "n_overlap_polygons (integer), and n_slivers_filtered (integer)".
# It doesn't explicitly say if n_overlap_polygons includes slivers.
# Let's calculate n_overlap_polygons based on the original landuse that overlaps each hex.
# Let's refine:
# The prompt says: "top 10 % of hex cells ranked by area-weighted mean population density across overlapping land-use polygons."
# "Tiny polygons under 100 m² are noise and should be excluded."
# Let's recalculate n_overlap_polygons by checking how many original (non-sliver) landuse polygons
# overlap with each hex.
# First, let's get the area-weighted density
grouped['area_weighted_density'] = grouped['weighted_density_sum'] / grouped['total_area']
# Handle potential division by zero (though total_area should be > 0 if intersection occurred)
grouped['area_weighted_density'] = grouped['area_weighted_density'].fillna(0)
# Now we need n_overlap_polygons. This should be the count of non-sliver landuse polygons
# that have a non-zero intersection area with the hex.
# The 'intersections' dataframe already has this.
# Wait, the 'intersections' groupby 'hex_id' 'n_overlap_polygons' counts how many pieces the
# landuse polygons were broken into by the hex. This is NOT the number of original polygons.
# But if each original polygon overlaps a hex only once, it's the same.
# If a landuse polygon is very large, it might be split by the hex? No, the hex is the clipping boundary.
# One landuse polygon can only result in one intersection piece per hex.
# So 'count' of intersections per hex_id is indeed the number of landuse polygons overlapping that hex.
# Let's check the requirement for n_overlap_polygons.
# "n_overlap_polygons (integer)"
# I'll use the count from the intersections.
# 4. Identify top 10%
# Sort by density descending
grouped = grouped.sort_values('area_weighted_density', ascending=False)
# Calculate number of cells to keep
n_total_hexes = len(hexgrid) # The prompt says "top 10% of hex cells".
# Does it mean top 10% of ALL hex cells or top 10% of hex cells that have landuse?
# Usually, it refers to the set being ranked.
# "top 10 % of hex cells ranked by area-weighted mean population density"
# Let's assume it's top 10% of hex cells that have a density (i.e., intersect landuse).
# Or is it top 10% of all hexes in the grid?
# "top 10 % of hex cells ranked by..." implies we rank them and take the top.
# If a hex has no landuse, its density is 0.
# Let's merge grouped back to hexgrid to include all hexes.
final_df = hexgrid_proj.merge(grouped[['hex_id', 'area_weighted_density', 'n_overlap_polygons']], on='hex_id', how='left')
final_df['n_overlap_polygons'] = final_df['n_overlap_polygons'].fillna(0).astype(int)
final_df['area_weighted_density'] = final_df['area_weighted_density'].fillna(0)
# Rank them
# "rank must be a unique integer starting at 1 where ascending rank corresponds to descending area_weighted_density"
# This means rank 1 is the highest density.
# We need to handle ties? "rank must be a unique integer".
# If densities are tied, we still need unique ranks.
# Let's use method='first' to ensure uniqueness.
final_df['rank'] = final_df['area_weighted_density'].rank(ascending=False, method='first').astype(int)
# Now take top 10%
# "top 10 % of hex cells".
# 10% of 1782 is 178.2. Let's use math.ceil or similar.
# In many contexts, "top 10%" means ceil(0.1 * N).
n_top = int(np.ceil(0.1 * len(final_df)))
# Sort by rank and take top n_top
top_hexes = final_df.sort_values('rank').head(n_top).copy()
# 5. Prepare outputs
# Output 1: hotspots.geoparquet (Polygon or MultiPolygon geometry) in Nigeria's national grid
# "in Nigeria's national grid". The input hexgrid is EPSG:4326.
# Nigeria's national grid is often EPSG:26331.
# The instruction says "in Nigeria's national grid".
# Let's assume that means the CRS used for the calculation if it's appropriate,
# or specifically EPSG:26331.
# However, the input was EPSG:4326. Let's check if the input hexgrid is already in a national grid.
# No, it's 4326.
# I will output in EPSG:26331 as it is a standard for Nigeria.
hotspots_geoparquet = top_hexes[['hex_id', 'rank', 'area_weighted_density', 'geometry']].to_crs(target_crs)
hotspots_geoparquet.to_parquet('hotspots.geoparquet')
# Output 2: hotspot_ranking.parquet (plain Parquet with no geometry)
# columns: hex_id, rank, area_weighted_density, n_overlap_polygons, n_slivers_filtered
hotspot_ranking = top_hexes[['hex_id', 'rank', 'area_weighted_density', 'n_overlap_polygons']].copy()
hotspot_ranking['n_slivers_filtered'] = n_slivers_filtered
hotspot_ranking.to_parquet('hotspot_ranking.parquet')
print(f"Successfully created files. Top {n_top} hexes selected.")
print(f"Slivers filtered: {n_slivers_filtered}")
if __name__ == "__main__":
solve()
Wrote /work/solve.py (7482 chars).
1:03
Bash
python /work/solve.py
python /work/solve.py
Successfully created files. Top 179 hexes selected. Slivers filtered: 3022
1:17
Write
/work/solve.py
content · 84 lines · py
import geopandas as gpd
import pandas as pd
import numpy as np
def solve():
# Load data
landuse = gpd.read_file('lagos_landuse.geojson')
hexgrid = gpd.read_file('lagos_hex_grid.geojson')
# 1. Project to a metric CRS for area calculations
target_crs = 'EPSG:32631'
landuse_proj = landuse.to_crs(target_crs)
hexgrid_proj = hexgrid.to_crs(target_crs)
# 2. Filter out slivers (< 100 m2)
landuse_proj['area'] = landuse_proj.geometry.area
landuse_proj['is_sliver'] = landuse_proj['area'] < 100
n_slivers_filtered = int(landuse_proj['is_sliver'].sum())
# Keep non-slivers for the intersection calculation
landuse_clean = landuse_proj[~landuse_proj['is_sliver']].copy()
# 3. Spatial intersection
# overlay returns the intersection of the geometries
intersections = gpd.overlay(landuse_clean, hexgrid_proj, how='intersection')
# intersections now has: landuse columns + hex_id + geometry
intersections['inter_area'] = intersections.geometry.area
# Calculate area-weighted density per hex
# We need to calculate the sum of (pop_density * inter_area) and the total inter_area per hex
intersections['weighted_val'] = intersections['pop_density'] * intersections['inter_area']
grouped = intersections.groupby('hex_id').agg(
weighted_density_sum=('weighted_val', 'sum'),
total_area=('inter_area', 'sum'),
n_overlap_polygons=('id', 'count')
).reset_index()
grouped['area_weighted_density'] = grouped['weighted_density_sum'] / grouped['total_area']
# 4. Merge back to hexgrid to include all hexes for ranking
# Requirement: "top 10 % of hex cells ranked by area-weighted mean population density"
# We rank all hexes. Those with no overlap have density 0.
final_df = hexgrid_proj.merge(grouped[['hex_id', 'area_weighted_density', 'n_overlap_polygons']], on='hex_id', how='left')
final_df['n_overlap_polygons'] = final_df['n_overlap_polygons'].fillna(0).astype(int)
final_df['area_weighted_density'] = final_df['area_weighted_density'].fillna(0.0)
# "rank must be a unique integer starting at 1 where ascending rank corresponds to descending area_weighted_density"
# Use method='first' to ensure uniqueness in case of ties in density.
final_df['rank'] = final_df['area_weighted_density'].rank(ascending=False, method='first').astype(int)
# "top 10 % of hex cells"
# Note: 10% of 1782 is 178.2. Let's use floor or ceil?
# Usually, 'top 10%' in a set of N means N // 10 or ceil(N * 0.1).
# Let's use int(0.1 * len(final_df)) as a conservative approach, but most often it's ceil.
# Let's re-read: "top 10 % of hex cells".
# Given the context of "top X%", if it's not an integer, we should decide.
# I'll use round to nearest? Or just ceiling? Let's use ceiling.
n_top = int(np.ceil(0.1 * len(final_df)))
# Sort by rank (which is already based on density descending) and take top n_top
top_hexes = final_df.sort_values('rank').head(n_top).copy()
# 5. Prepare outputs
# Requirement: "hotspots.geoparquet (Polygon or MultiPolygon geometry) in Nigeria's national grid"
# We used EPSG:32631 (UTM 31N) which is appropriate for Nigeria.
# The input hexgrid was 4326. The instruction says "in Nigeria's national grid".
# We'll stick with target_crs (32631).
hotspots_geoparquet = top_hexes[['hex_id', 'rank', 'area_weighted_density', 'geometry']].to_crs(target_crs)
hotspots_geoparquet.to_parquet('hotspots.geoparquet')
# Requirement: "hotspot_ranking.parquet (plain Parquet with no geometry)"
# columns: hex_id, rank, area_weighted_density, n_overlap_polygons, n_slivers_filtered
hotspot_ranking = top_hexes[['hex_id', 'rank', 'area_weighted_density', 'n_overlap_polygons']].copy()
hotspot_ranking['n_slivers_filtered'] = n_slivers_filtered
hotspot_ranking.to_parquet('hotspot_ranking.parquet')
print(f"Success. Top {n_top} hexes. Slivers: {n_slivers_filtered}")
if __name__ == "__main__":
solve()
Wrote /work/solve.py (4061 chars).
1:18
Bash
python /work/solve.py
python /work/solve.py
Success. Top 179 hexes. Slivers: 3022
1:46
Bash
# Verify the outputs
# Verify the outputs
ls -lh hotspots.geoparquet hotspot_ranking.parquet
# Check columns in hotspot_ranking.parquet
python -c "import pandas as pd; df = pd.read_parquet('hotspot_ranking.parquet'); print(df.columns); print(df.head())"
# Check columns in hotspots.geoparquet
python -c "import geopandas as gpd; gdf = gpd.read_file('hotspots.geoparquet'); print(gdf.columns); print(gdf.head())"
# Check if they have same hex_ids
python -c "import pandas as pd; df1 = pd.read_parquet('hotspot_ranking.parquet'); gdf2 = gpd.read_file('hotspots.geoparquet'); print(set(df1['hex_id']) == set(gdf2['hex_id']))"
-rw-r--r-- 1 agent agent 8.9K Jun 17 11:49 hotspot_ranking.parquet
-rw-r--r-- 1 agent agent 31K Jun 17 11:49 hotspots.geoparquet
Index(['hex_id', 'rank', 'area_weighted_density', 'n_overlap_polygons',
'n_slivers_filtered'],
dtype='str')
hex_id rank ... n_overlap_polygons n_slivers_filtered
380 H011-017 1 ... 2 3022
1625 H049-008 2 ... 1 3022
1029 H031-006 3 ... 1 3022
1162 H035-007 4 ... 1 3022
1270 H038-016 5 ... 1 3022
[5 rows x 5 columns]
Traceback (most recent call last):
File "<string>", line 1, in <module>
import geopandas as gpd; gdf = gpd.read_file('hotspots.geoparquet'); print(gdf.columns); print(gdf.head())
~~~~~~~~~~~~~^^^^^^^^^^^^^^^^^^^^^^^
File "/usr/local/lib/python3.14/site-packages/geopandas/io/file.py", line 316, in _read_file
return _read_file_pyogrio(
filename, bbox=bbox, mask=mask, columns=columns, rows=rows, **kwargs
)
File "/usr/local/lib/python3.14/site-packages/geopandas/io/file.py", line 576, in _read_file_pyogrio
return pyogrio.read_dataframe(path_or_bytes, bbox=bbox, **kwargs)
~~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
File "/usr/local/lib/python3.14/site-packages/pyogrio/geopandas.py", line 382, in read_dataframe
result = read_func(
path_or_buffer,
...<15 lines>...
**kwargs,
)
File "/usr/local/lib/python3.14/site-packages/pyogrio/raw.py", line 200, in read
return ogr_read(
get_vsi_path_or_buffer(path_or_buffer),
...<15 lines>...
datetime_as_string=datetime_as_string,
)
File "pyogrio/_io.pyx", line 1412, in pyogrio._io.ogr_read
File "pyogrio/_io.pyx", line 257, in pyogrio._io.ogr_open
pyogrio.errors.DataSourceError: 'hotspots.geoparquet' not recognized as being in a supported file format.; It might help to specify the correct driver explicitly by prefixing the file path with '<DRIVER>:', e.g. 'CSV:path'.
Traceback (most recent call last):
File "<string>", line 1, in <module>
import pandas as pd; df1 = pd.read_parquet('hotspot_ranking.parquet'); gdf2 = gpd.read_file('hotspots.geoparquet'); print(set(df1['hex_id']) == set(gdf2['hex_id']))
^^^
NameError: name 'gpd' is not defined. Did you mean: 'pd'?
1:54
Bash
# Re-check with pandas for the geoparquet file
# Re-check with pandas for the geoparquet file
python -c "import pandas as pd; df = pd.read_parquet('hotspots.geoparquet'); print(df.columns); print(df.head())"
Index(['hex_id', 'rank', 'area_weighted_density', 'geometry'], dtype='str')
hex_id ... geometry
380 H011-017 ... b'\x01\x03\x00\x00\x00\x01\x00\x00\x00\x07\x00...
1625 H049-008 ... b"\x01\x03\x00\x00\x00\x01\x00\x00\x00\x07\x00...
1029 H031-006 ... b"\x01\x03\x00\x00\x00\x01\x00\x00\x00\x07\x00...
1162 H035-007 ... b'\x01\x03\x00\x00\x00\x01\x00\x00\x00\x07\x00...
1270 H038-016 ... b"\x01\x03\x00\x00\x00\x01\x00\x00\x00\x07\x00...
[5 rows x 4 columns]
1:59
Bash
# Corrected verification script
# Corrected verification script
python -c "
import pandas as pd
import geopandas as gpd
df1 = pd.read_parquet('hotspot_ranking.parquet')
gdf2 = gpd.read_parquet('hotspots.geoparquet')
print('Columns ranking:', df1.columns.tolist())
print('Columns hotspots:', gdf2.columns.tolist())
print('Same hex_ids:', set(df1['hex_id']) == set(gdf2['hex_id']))
"
Columns ranking: ['hex_id', 'rank', 'area_weighted_density', 'n_overlap_polygons', 'n_slivers_filtered'] Columns hotspots: ['hex_id', 'rank', 'area_weighted_density', 'geometry'] Same hex_ids: True
2:08