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
lagos_hex_grid.geojson lagos_landuse.geojson
0:04
Write
/work/inspect_data.py
content · 16 lines · py
import geopandas as gpd
# Check files and basic info
landuse = gpd.read_file('lagos_landuse.geojson')
hex_grid = gpd.read_file('lagos_hex_grid.geojson')
print("Landuse info:")
print(landuse.info())
print(landuse.head())
print("\nHexgrid info:")
print(hex_grid.info())
print(hex_grid.head())
print("\nCRS Landuse:", landuse.crs)
print("CRS Hexgrid:", hex_grid.crs)
Wrote /work/inspect_data.py (367 chars).
0:05
Bash
python /work/inspect_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....
CRS Landuse: EPSG:4326
CRS Hexgrid: EPSG:4326
0:57
Write
/work/solve.py
content · 135 lines · py
import geopandas as gpd
import pandas as pd
def solve():
# 1. Load data
landuse = gpd.read_file('lagos_landuse.geojson')
hex_grid = gpd.read_file('lagos_hex_grid.geojson')
# Check CRS
# They are in EPSG:4326 (degrees). Need a projected CRS for area calculations.
# Nigeria uses EPSG:26331 (UTM zone 31N) or similar.
# Let's use a generic UTM or an appropriate one for Lagos.
# Lagos is around 6.5 N, 3.4 E. EPSG:32631 is UTM 31N.
target_crs = 'EPSG:32631'
# 2. Pre-process Landuse
# Filter slivers (< 100 m2)
# Must project to metric CRS first
landuse_proj = landuse.to_crs(target_crs)
landuse_proj['area'] = landuse_proj.geometry.area
n_slivers_filtered = (landuse_proj['area'] < 100).sum()
landuse_clean = landuse_proj[landuse_proj['area'] >= 100].copy()
print(f"Original landuse: {len(landuse)}")
print(f"Slivers filtered: {n_slivers_filtered}")
print(f"Clean landuse: {len(landuse_clean)}")
# 3. Project Hexgrid
hex_grid_proj = hex_grid.to_crs(target_crs)
hex_grid_proj['hex_area'] = hex_grid_proj.geometry.area
# 4. Spatial Join
# We need to calculate area-weighted mean population density.
# Area-weighted mean = Sum(pop_density_i * intersection_area_i) / Total_hex_area_covered_by_polygons?
# Or Sum(pop_density_i * intersection_area_i) / Total_hex_area_of_hex?
# Usually, "area-weighted mean population density across overlapping land-use polygons"
# implies we only consider the parts of the hex covered by the polygons.
# However, the prompt says "across overlapping land-use polygons".
# A standard way is: Mean Density = sum(density_i * area_i) / sum(area_i)
# Perform intersection to get the area of each landuse piece within each hex
# Using overlay is more precise for area calculations
intersections = gpd.overlay(hex_grid_proj[['hex_id', 'geometry']],
landuse_clean[['pop_density', 'geometry']],
how='intersection')
# Calculate the area of the intersection pieces
intersections['inter_area'] = intersections.geometry.area
# Calculate products
intersections['weighted_pop'] = intersections['pop_density'] * intersections['inter_area']
# Group by hex_id to get the weighted average
# n_overlap_polygons is the count of landuse polygons overlapping the hex
# We must be careful: the overlay might split one landuse polygon into multiple pieces in one hex.
# The prompt says "n_overlap_polygons" (integer). This usually refers to the original landuse polygons.
# Let's get the count of original polygons per hex first.
# We can use the spatial join for that to be safe, or use the IDs from the overlay if they exist.
# The overlay 'intersections' will have the 'id' from landuse if it was in landuse_clean.
# Wait, landuse_clean is a subset of landuse.
# Let's re-check columns of landuse. It has 'id'.
# Note: overlay preserves columns from both.
# Let's group and aggregate.
agg_results = intersections.groupby('hex_id').agg(
sum_weighted_pop=('weighted_pop', 'sum'),
sum_inter_area=('inter_area', 'sum'),
n_overlap_polygons=('id', 'nunique') # Number of unique landuse polygons
).reset_index()
# The prompt asks for 'n_slivers_filtered'. We already calculated it.
# We also need 'n_overlap_polygons' in the final parquet.
# The prompt also mentions 'n_slivers_filtered' (integer).
# Let's check how it's used. It's in the parquet.
# Calculate area-weighted density
# Avoid division by zero
agg_results['area_weighted_density'] = agg_results['sum_weighted_pop'] / agg_results['sum_inter_area']
# 5. Identify top 10%
# "top 10 % of hex cells ranked by area-weighted mean population density"
# This implies we sort by density descending and take the top 10% of the cells.
# Get the hex cells that have at least some overlap?
# Or all hex cells? Usually "top 10% of hex cells" refers to the set of cells.
# However, if a hex has no overlap, its density is effectively 0 or undefined.
# Let's merge the aggregated results back to the full hex_grid.
final_hex_stats = hex_grid_proj.merge(agg_results, on='hex_id', how='left')
final_hex_stats['area_weighted_density'] = final_hex_stats['area_weighted_density'].fillna(0)
final_hex_stats['n_overlap_polygons'] = final_hex_stats['n_overlap_polygons'].fillna(0).astype(int)
# Rank them
# "rank must be a unique integer starting at 1 where ascending rank corresponds to descending area_weighted_density"
# Use method='first' to ensure unique ranks for ties.
final_hex_stats = final_hex_stats.sort_values('area_weighted_density', ascending=False)
final_hex_stats['rank'] = range(1, len(final_hex_stats) + 1)
# Select top 10%
num_top = max(1, int(len(final_hex_stats) * 0.10))
top_10_percent = final_hex_stats.head(num_top).copy()
# 6. Prepare outputs
# hotspots.geoparquet: hex_id, rank, area_weighted_density, geometry (in Nigeria's national grid)
# The prompt says "Nigeria's national grid". I'll use EPSG:26331 as it's common,
# but I should probably check if there's a specific one.
# Actually, the input was EPSG:4326. If it doesn't specify, and "national grid" is mentioned,
# I will use the projected CRS I used for calculation (32631) or transform back to 4326?
# Wait, "Nigeria's national grid" often refers to a specific CRS.
# However, without a specific code, 32631 (UTM 31N) is the most standard for Lagos.
# Let's assume the output geometry should be in the same CRS as the calculation (metric)
# OR if "national grid" implies something else, I might need to be careful.
# Most GIS professionals use UTM for "grids" in such briefs.
# Re-reading: "hotspots.geoparquet ... in Nigeria's national grid"
# I will use EPSG:26331.
hotspots = top_10_percent[['hex_id', 'rank', 'area_weighted_density', 'geometry']].copy()
hotspots.to_geoparquet('hotspots.geoparquet')
# hotspot_ranking.parquet: hex_id, rank, area_weighted_density, n_overlap_polygons, n_slivers_filtered
hotspot_ranking = top_10_percent[['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("Success!")
print(f"hotspots.geoparquet shape: {hotspots.shape}")
print(f"hotspot_ranking.parquet shape: {hotspot_ranking.shape}")
if __name__ == "__main__":
solve()
Wrote /work/solve.py (6721 chars).
0:58
Bash
python /work/solve.py
Original landuse: 5542 Slivers filtered: 3022 Clean landuse: 2520
Traceback (most recent call last):
File "/work/solve.py", line 134, in <module>
solve()
~~~~~^^
File "/work/solve.py", line 67, in solve
agg_results = intersections.groupby('hex_id').agg(
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^
sum_weighted_pop=('weighted_pop', 'sum'),
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
sum_inter_area=('inter_area', 'sum'),
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
n_overlap_polygons=('id', 'nunique') # Number of unique landuse polygons
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
).reset_index()
^
File "/usr/local/lib/python3.14/site-packages/pandas/core/groupby/generic.py", line 2291, in aggregate
result = op.agg()
File "/usr/local/lib/python3.14/site-packages/pandas/core/apply.py", line 294, in agg
return self.agg_dict_like()
~~~~~~~~~~~~~~~~~~^^
File "/usr/local/lib/python3.14/site-packages/pandas/core/apply.py", line 511, in agg_dict_like
return self.agg_or_apply_dict_like(op_name="agg")
~~~~~~~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^^^^^^^
File "/usr/local/lib/python3.14/site-packages/pandas/core/apply.py", line 1677, in agg_or_apply_dict_like
result_index, result_data = self.compute_dict_like(
~~~~~~~~~~~~~~~~~~~~~~^
op_name, selected_obj, selection, kwargs
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
)
^
File "/usr/local/lib/python3.14/site-packages/pandas/core/apply.py", line 550, in compute_dict_like
func = self.normalize_dictlike_arg(op_name, selected_obj, func)
File "/usr/local/lib/python3.14/site-packages/pandas/core/apply.py", line 762, in normalize_dictlike_arg
raise KeyError(f"Label(s) {list(cols)} do not exist")
KeyError: "Label(s) ['id'] do not exist"
1:04
Edit
/work/solve.py
Edited /work/solve.py.
1:05
Bash
python /work/solve.py
Original landuse: 5542 Slivers filtered: 3022 Clean landuse: 2520
Traceback (most recent call last):
File "/work/solve.py", line 134, in <module>
solve()
~~~~~^^
File "/work/solve.py", line 122, in solve
hotspots.to_geoparquet('hotspots.geoparquet')
^^^^^^^^^^^^^^^^^^^^^^
File "/usr/local/lib/python3.14/site-packages/pandas/core/generic.py", line 6206, in __getattr__
return object.__getattribute__(self, name)
~~~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^^^^
AttributeError: 'GeoDataFrame' object has no attribute 'to_geoparquet'. Did you mean: 'to_parquet'?
1:40
Edit
/work/solve.py
old_string not found in /work/solve.py
2:04
Write
/work/solve.py
content · 107 lines · py
import geopandas as gpd
import pandas as pd
def solve():
# 1. Load data
landuse = gpd.read_file('lagos_landuse.geojson')
hex_grid = gpd.read_file('lagos_hex_grid.geojson')
# Check CRS
# They are in EPSG:4326 (degrees). Need a projected CRS for area calculations.
# Nigeria uses EPSG:26331 (UTM zone 31N) or similar.
# Let's use a generic UTM or an appropriate one for Lagos.
# Lagos is around 6.5 N, 3.4 E. EPSG:32631 is UTM 31N.
target_crs = 'EPSG:32631'
# 2. Pre-process Landuse
# Filter slivers (< 100 m2)
# Must project to metric CRS first
landuse_proj = landuse.to_crs(target_crs)
landuse_proj['area'] = landuse_proj.geometry.area
n_slivers_filtered = int((landuse_proj['area'] < 100).sum())
landuse_clean = landuse_proj[landuse_proj['area'] >= 100].copy()
print(f"Original landuse: {len(landuse)}")
print(f"Slivers filtered: {n_slivers_filtered}")
print(f"Clean landuse: {len(landuse_clean)}")
# 3. Project Hexgrid
hex_grid_proj = hex_grid.to_crs(target_crs)
hex_grid_proj['hex_area'] = hex_grid_proj.geometry.area
# 4. Spatial Join
# We need to calculate area-weighted mean population density.
# Area-weighted mean = Sum(pop_density_i * intersection_area_i) / Total_hex_area_covered_by_polygons?
# Or Sum(pop_density_i * intersection_area_i) / Total_hex_area_of_hex?
# Usually, "area-weighted mean population density across overlapping land-use polygons"
# implies we only consider the parts of the hex covered by the polygons.
# However, the prompt says "across overlapping land-use polygons".
# A standard way is: Mean Density = sum(density_i * area_i) / sum(area_i)
# Perform intersection to get the area of each landuse piece within each hex
# Using overlay is more precise for area calculations
intersections = gpd.overlay(hex_grid_proj[['hex_id', 'geometry']],
landuse_clean[['id', 'pop_density', 'geometry']],
how='intersection')
# Calculate the area of the intersection pieces
intersections['inter_area'] = intersections.geometry.area
# Calculate products
intersections['weighted_pop'] = intersections['pop_density'] * intersections['inter_area']
# Group by hex_id to get the weighted average
# n_overlap_polygons is the count of original polygons overlapping the hex
# We can use the IDs from the overlay if they exist.
# Note: overlay preserves columns from both.
# Let's group and aggregate.
agg_results = intersections.groupby('hex_id').agg(
sum_weighted_pop=('weighted_pop', 'sum'),
sum_inter_area=('inter_area', 'sum'),
n_overlap_polygons=('id', 'nunique')
).reset_index()
# Calculate area-weighted density
# Avoid division by zero
agg_results['area_weighted_density'] = agg_results['sum_weighted_pop'] / agg_results['sum_inter_area']
# 5. Identify top 10%
# Get the hex cells that have at least some overlap?
# Or all hex cells? Usually "top 10% of hex cells" refers to the set of cells.
# Merge the aggregated results back to the full hex_grid.
final_hex_stats = hex_grid_proj.merge(agg_results, on='hex_id', how='left')
final_hex_stats['area_weighted_density'] = final_hex_stats['area_weighted_density'].fillna(0.0)
final_hex_stats['n_overlap_polygons'] = final_hex_stats['n_overlap_polygons'].fillna(0).astype(int)
# Rank them
# "rank must be a unique integer starting at 1 where ascending rank corresponds to descending area_weighted_density"
# Use method='first' to ensure unique ranks for ties.
final_hex_stats = final_hex_stats.sort_values('area_weighted_density', ascending=False)
final_hex_stats['rank'] = range(1, len(final_hex_stats) + 1)
# Select top 10%
num_top = max(1, int(len(final_hex_stats) * 0.10))
top_10_percent = final_hex_stats.head(num_top).copy()
# 6. Prepare outputs
# hotspots.geoparquet: hex_id, rank, area_weighted_density, geometry (in Nigeria's national grid)
# Using the projected CRS used for calculation.
hotspots = gpd.GeoDataFrame(top_10_percent[['hex_id', 'rank', 'area_weighted_density', 'geometry']],
crs=target_crs)
hotspots.to_parquet('hotspots.geoparquet')
# hotspot_ranking.parquet: hex_id, rank, area_weighted_density, n_overlap_polygons, n_slivers_filtered
hotspot_ranking = top_10_percent[['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("Success!")
print(f"hotspots.geoparquet shape: {hotspots.shape}")
print(f"hotspot_ranking.parquet shape: {hotspot_ranking.shape}")
if __name__ == "__main__":
solve()
Wrote /work/solve.py (4920 chars).
2:21
Bash
python /work/solve.py
Original landuse: 5542 Slivers filtered: 3022 Clean landuse: 2520 Success! hotspots.geoparquet shape: (178, 4) hotspot_ranking.parquet shape: (178, 5)
2:25
Bash
python -c "import pandas as pd; import geopandas as gpd; print('\n--- hotspots.g...
--- hotspots.geoparquet ---
hex_id ... geometry
380 H011-017 ... POLYGON ((537715.457 725019.541, 537426.783 72...
1625 H049-008 ... POLYGON ((570624.292 716019.579, 570335.618 71...
1029 H031-006 ... POLYGON ((555035.897 714019.586, 554747.223 71...
1162 H035-007 ... POLYGON ((558499.984 715019.582, 558211.31 715...
1301 H039-014 ... POLYGON ((561964.072 722019.554, 561675.398 72...
[5 rows x 4 columns]
--- hotspot_ranking.parquet ---
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
1301 H039-014 5 ... 1 3022
[5 rows x 5 columns]
2:29
Bash
python -c "import pandas as pd; print(pd.read_parquet('hotspot_ranking.parquet')...
['hex_id', 'rank', 'area_weighted_density', 'n_overlap_polygons', 'n_slivers_filtered']
2:32
Bash
python -c "import geopandas as gpd; print(gpd.read_parquet('hotspots.geoparquet'...
['hex_id', 'rank', 'area_weighted_density', 'geometry']
2:36
Bash
python -c "import pandas as pd; df = pd.read_parquet('hotspot_ranking.parquet');...
python -c "import pandas as pd; df = pd.read_parquet('hotspot_ranking.parquet'); print(f'Total rows: {len(df)}'); print(f'Unique hex_ids: {df[\'hex_id\'].nunique()}')"
python -c "import geopandas as gpd; gdf = gpd.read_parquet('hotspots.geoparquet'); print(f'Total rows: {len(gdf)}'); print(f'Unique hex_ids: {gdf[\'hex_id\'].nunique()}')"
File "<string>", line 1
import pandas as pd; df = pd.read_parquet('hotspot_ranking.parquet'); print(f'Total rows: {len(df)}'); print(f'Unique hex_ids: {df[\'hex_id\'].nunique()}')
^
SyntaxError: unexpected character after line continuation character
File "<string>", line 1
import geopandas as gpd; gdf = gpd.read_parquet('hotspots.geoparquet'); print(f'Total rows: {len(gdf)}'); print(f'Unique hex_ids: {gdf[\'hex_id\'].nunique()}')
^
SyntaxError: unexpected character after line continuation character
2:41
Bash
python -c "import pandas as pd; df = pd.read_parquet('hotspot_ranking.parquet');...
python -c "import pandas as pd; df = pd.read_parquet('hotspot_ranking.parquet'); print('Total rows:', len(df)); print('Unique hex_ids:', df['hex_id'].nunique())"
python -c "import geopandas as gpd; gdf = gpd.read_parquet('hotspots.geoparquet'); print('Total rows:', len(gdf)); print('Unique hex_ids:', gdf['hex_id'].nunique())"
Total rows: 178 Unique hex_ids: 178 Total rows: 178 Unique hex_ids: 178
2:55