spa-l2-lagos-hotspot-overlaps

Status: done
Score: 0.632
Duration: 3:29
Cost: 0.96¢
Model: google/gemma-4-26b-a4b-it

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 /work
ls -F /work
lagos_hex_grid.geojson
lagos_landuse.geojson
0:07
Write /work/inspect_data.py
content · 18 lines · py
import geopandas as gpd

landuse = gpd.read_file('lagos_landuse.geojson')
hex_grid = gpd.read_file('lagos_hex_grid.geojson')

print("Landuse columns:", landuse.columns)
print("Landuse head:\n", landuse.head())
print("Landuse geometry type:", landuse.geometry.type.unique())
print("Landuse CRS:", landuse.crs)

print("\nHex grid columns:", hex_grid.columns)
print("Hex grid head:\n", hex_grid.head())
print("Hex grid geometry type:", hex_grid.geometry.type.unique())
print("Hex grid CRS:", hex_grid.crs)

print("\nLanduse area stats:")
print(landuse.geometry.area.describe())
Wrote /work/inspect_data.py (575 chars).
0:09
Bash python /work/inspect_data.py
python /work/inspect_data.py
Landuse columns: Index(['id', 'class', 'pop_density', 'geometry'], dtype='str')
Landuse head:
                                      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]
Landuse geometry type: <ArrowStringArray>
['Polygon']
Length: 1, dtype: str
Landuse CRS: EPSG:4326

Hex grid columns: Index(['hex_id', 'geometry'], dtype='str')
Hex grid head:
      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....
Hex grid geometry type: <ArrowStringArray>
['Polygon']
Length: 1, dtype: str
Hex grid CRS: EPSG:4326

Landuse area stats:
count    5.542000e+03
mean     7.606990e-06
std      7.631376e-05
min      8.184751e-11
25%      3.835068e-09
50%      7.451139e-09
75%      4.147784e-07
max      2.854502e-03
dtype: float64
/work/inspect_data.py:17: UserWarning: Geometry is in a geographic CRS. Results from 'area' are likely incorrect. Use 'GeoSeries.to_crs()' to re-project geometries to a projected CRS before this operation.

  print(landuse.geometry.area.describe())
0:37
Write /work/solve.py
content · 142 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')

    # 2. Setup CRS. Need a projected CRS for area calculations.
    # Nigeria's national grid is typically UTM Zone 31N (EPSG:32631) or similar.
    # Let's use EPSG:32631 for Lagos.
    target_crs = 'EPSG:32631'
    
    landuse = landuse.to_crs(target_crs)
    hex_grid = hex_grid.to_crs(target_crs)

    # 3. Pre-processing: filter tiny polygons (< 100 m2)
    # We need to track how many were filtered.
    landuse['orig_area'] = landuse.geometry.area
    landuse['is_sliver'] = landuse['orig_area'] < 100
    
    # Number of slivers to be filtered (per hex) is tricky. 
    # The requirement says "n_slivers_filtered" in the parquet.
    # This implies we count how many slivers were present in each hex before filtering them out.

    # 4. Spatial Join: hex_grid <-> landuse
    # We want to find the intersection of each hex and each landuse polygon.
    # overlay is better for calculating intersection areas.
    intersections = gpd.overlay(hex_grid, landuse, how='intersection')
    
    # The intersection geometry is the part of the landuse polygon inside the hex.
    intersections['inter_area'] = intersections.geometry.area

    # 5. Calculate weighted density
    # area_weighted_density = sum(pop_density_i * area_i) / sum(area_i)
    # where area_i is the intersection area.
    
    # We need to track:
    # - n_overlap_polygons: count of landuse polygons overlapping the hex (excluding slivers?) 
    #   Actually, the instruction says "n_overlap_polygons (integer), and n_slivers_filtered (integer)".
    #   It doesn't explicitly say if n_overlap_polygons should include slivers. 
    #   Let's assume n_overlap_polygons is the count of ALL landuse polygons that intersect the hex.
    #   And n_slivers_filtered is the count of polygons < 100m2 that intersect the hex.
    
    # To get these counts correctly, let's first do a simple spatial join to get counts.
    # But wait, overlay might be slow. Let's check the counts.
    
    # First, get sliver status for the landuse
    # We already have landuse['is_sliver']
    
    # For each hex, we want to calculate the density based on non-sliver intersections.
    # But we also need to count the slivers that *would* have been there.
    
    # Let's use the intersections result.
    # Note: intersections contains 'is_sliver' from the landuse.
    
    # Filter out slivers for the density calculation
    valid_intersections = intersections[~intersections['is_sliver']].copy()
    
    # Group by hex_id to calculate weighted density
    # Grouping by hex_id to get the sum of (pop_density * inter_area) and sum of inter_area
    grouped = valid_intersections.groupby('hex_id').agg(
        sum_weighted_density=('pop_density', lambda x: (x * valid_intersections.loc[x.index, 'inter_area']).sum()),
        total_inter_area=('inter_area', 'sum')
    )
    
    # Wait, the lambda above is slightly wrong in usage with groupby. Let's fix it.
    valid_intersections['weighted_val'] = valid_intersections['pop_density'] * valid_intersections['inter_area']
    grouped = valid_intersections.groupby('hex_id').agg(
        sum_weighted_val=('weighted_val', 'sum'),
        total_inter_area=('inter_area', 'sum')
    )
    
    grouped['area_weighted_density'] = grouped['sum_weighted_val'] / grouped['total_inter_area']

    # 6. Get counts
    # n_overlap_polygons: total number of landuse polygons intersecting the hex
    # n_slivers_filtered: total number of sliver polygons intersecting the hex
    
    # We can use the intersections dataframe (before filtering slivers) for counts.
    counts = intersections.groupby('hex_id').agg(
        n_overlap_polygons=('id', 'count'),
        n_slivers_filtered=('is_sliver', 'sum')
    )
    
    # Merge density and counts
    results = grouped.join(counts, how='left').fillna(0)
    results['n_overlap_polygons'] = results['n_overlap_polygons'].astype(int)
    results['n_slivers_filtered'] = results['n_slivers_filtered'].astype(int)
    
    # 7. Select top 10%
    # The requirement: "top 10 % of hex cells ranked by area-weighted mean population density"
    # This implies we take the top 10% of the cells that actually have a calculated density.
    # If a hex has no valid landuse, its density is effectively 0 or NaN.
    
    # Sort by density descending
    results = results.sort_values('area_weighted_density', ascending=False)
    
    # Calculate top 10% threshold
    # "top 10% of hex cells" - usually refers to the total number of cells in the hex grid,
    # but ranking is based on density. If we only rank cells with density, we might miss some.
    # However, "ranked by area-weighted mean population density" suggests we look at the ones with data.
    # Let's take the top 10% of the hex_grid.
    
    num_top_cells = max(1, int(len(hex_grid) * 0.1))
    top_cells_ids = results.index[:num_top_cells]
    
    top_results = results.loc[top_cells_ids].copy()
    
    # Assign Rank
    # "rank must be a unique integer starting at 1 where ascending rank corresponds to descending area_weighted_density"
    top_results['rank'] = range(1, len(top_results) + 1)
    
    # 8. Finalize Outputs
    # hotspot_ranking.parquet: hex_id, rank, area_weighted_density, n_overlap_polygons, n_slivers_filtered
    ranking_df = top_results.reset_index()[['hex_id', 'rank', 'area_weighted_density', 'n_overlap_polygons', 'n_slivers_filtered']]
    ranking_df.to_parquet('hotspot_ranking.parquet')
    
    # hotspots.geoparquet: hex_id, rank, area_weighted_density, geometry
    # We need to join the geometry from hex_grid
    hotspots_gdf = hex_grid.merge(top_results[['rank', 'area_weighted_density']], left_on='hex_id', right_index=True)
    # Keep only required columns
    hotspots_gdf = hotspots_gdf[['hex_id', 'rank', 'area_weighted_density', 'geometry']]
    
    # Convert back to the original CRS (or national grid)? 
    # Instruction says "Nigeria's national grid". 
    # If I used 32631, that is a valid projection for Nigeria. 
    # Let's stick with the projection used for calculation to be safe, 
    # unless I should re-project to something else. 
    # Usually, "national grid" implies a specific CRS like EPSG:26331 or similar. 
    # But EPSG:32631 is standard. Let's assume 32631 is fine.
    # Actually, the input was 4326. Let's check if there's a specific Nigerian CRS.
    # For the purpose of this task, if no specific EPSG is given, 32631 is a good choice for Lagos.
    
    hotspots_gdf.to_geoparquet('hotspots.geoparquet')
    
    print(f"Successfully processed {len(top_results)} hotspots.")
    print(f"Total hexes: {len(hex_grid)}")

if __name__ == "__main__":
    solve()
Wrote /work/solve.py (6835 chars).
0:41
Bash python /work/solve.py
python /work/solve.py
Traceback (most recent call last):
  File "/work/solve.py", line 141, in <module>
    solve()
    ~~~~~^^
  File "/work/solve.py", line 135, in solve
    hotspots_gdf.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'?
0:52
Edit /work/solve.py
Edited /work/solve.py.
0:54
Bash python /work/solve.py
python /work/solve.py
Successfully processed 178 hotspots.
Total hexes: 1782
0:59
Bash head -n 5 /work/hotspot_ranking.parquet | python -c "import pandas as pd; print(...
head -n 5 /work/hotspot_ranking.parquet | python -c "import pandas as pd; print(pd.read_parquet('/work/hotspot_ranking.parquet').head())"
     hex_id  rank  ...  n_overlap_polygons  n_slivers_filtered
0  H011-017     1  ...                   3                   1
1  H049-008     2  ...                   3                   2
2  H031-006     3  ...                   4                   3
3  H035-007     4  ...                   3                   2
4  H039-014     5  ...                   1                   0

[5 rows x 5 columns]
1:04
Bash python -c "import geopandas as gpd; print(gpd.read_parquet('/work/hotspots.geopa...
python -c "import geopandas as gpd; print(gpd.read_parquet('/work/hotspots.geoparquet').head())"
     hex_id  ...                                           geometry
0  H001-005  ...  POLYGON ((529055.238 713019.588, 528766.564 71...
1  H001-017  ...  POLYGON ((529055.237 725019.54, 528766.563 725...
2  H002-006  ...  POLYGON ((529921.26 713519.586, 529632.586 714...
3  H002-010  ...  POLYGON ((529921.26 717519.57, 529632.586 7180...
4  H003-001  ...  POLYGON ((530787.282 709019.604, 530498.608 70...

[5 rows x 4 columns]
1:39
Edit /work/solve.py
old_string not found in /work/solve.py
2:11
Write /work/solve.py
content · 80 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')

    # 2. Setup CRS. Need a projected CRS for area calculations.
    # Nigeria's national grid is typically UTM Zone 31N (EPSG:32631) or similar.
    target_crs = 'EPSG:32631'
    
    landuse = landuse.to_crs(target_crs)
    hex_grid = hex_grid.to_crs(target_crs)

    # 3. Pre-processing: filter tiny polygons (< 100 m2)
    landuse['orig_area'] = landuse.geometry.area
    landuse['is_sliver'] = landuse['orig_area'] < 100

    # 4. Spatial Join: hex_grid <-> landuse
    # overlay is better for calculating intersection areas.
    intersections = gpd.overlay(hex_grid, landuse, how='intersection')
    intersections['inter_area'] = intersections.geometry.area

    # 5. Calculate weighted density
    # area_weighted_density = sum(pop_density_i * area_i) / sum(area_i)
    # where area_i is the intersection area.
    
    # Filter out slivers for the density calculation
    valid_intersections = intersections[~intersections['is_sliver']].copy()
    valid_intersections['weighted_val'] = valid_intersections['pop_density'] * valid_intersections['inter_area']
    
    # Grouping to get density
    density_stats = valid_intersections.groupby('hex_id').agg(
        sum_weighted_val=('weighted_val', 'sum'),
        total_inter_area=('inter_area', 'sum')
    )
    density_stats['area_weighted_density'] = density_stats['sum_weighted_val'] / density_stats['total_inter_area']

    # 6. Get counts
    # n_overlap_polygons: total number of landuse polygons intersecting the hex
    # n_slivers_filtered: total number of sliver polygons intersecting the hex
    counts = intersections.groupby('hex_id').agg(
        n_overlap_polygons=('id', 'count'),
        n_slivers_filtered=('is_sliver', 'sum')
    )
    
    # Merge density and counts
    # We want to ensure all hexes are considered, even if density is 0
    full_stats = density_stats[['area_weighted_density']].join(counts, how='outer').fillna(0)
    full_stats['n_overlap_polygons'] = full_stats['n_overlap_polygons'].astype(int)
    full_stats['n_slivers_filtered'] = full_stats['n_slivers_filtered'].astype(int)
    
    # 7. Select top 10%
    # Sort by density descending
    full_stats = full_stats.sort_values('area_weighted_density', ascending=False)
    
    # Assign Rank
    full_stats['rank'] = range(1, len(full_stats) + 1)
    
    # The instruction: "top 10 % of hex cells ranked by area-weighted mean population density"
    num_top_cells = max(1, int(len(hex_grid) * 0.1))
    top_results = full_stats.head(num_top_cells).copy()
    
    # 8. Finalize Outputs
    # hotspot_ranking.parquet: hex_id, rank, area_weighted_density, n_overlap_polygons, n_slivers_filtered
    ranking_df = top_results.reset_index()[['hex_id', 'rank', 'area_weighted_density', 'n_overlap_polygons', 'n_slivers_filtered']]
    ranking_df.to_parquet('hotspot_ranking.parquet')
    
    # hotspots.geoparquet: hex_id, rank, area_weighted_density, geometry
    hotspots_gdf = hex_grid.merge(top_results[['rank', 'area_weighted_density']], on='hex_id')
    hotspots_gdf = hotspots_gdf[['hex_id', 'rank', 'area_weighted_density', 'geometry']]
    hotspots_gdf.to_parquet('hotspots.geoparquet', index=False)
    
    print(f"Successfully processed {len(top_results)} hotspots.")
    print(f"Total hexes: {len(hex_grid)}")

if __name__ == "__main__":
    solve()
Wrote /work/solve.py (3497 chars).
2:13
Bash python /work/solve.py
python /work/solve.py
Successfully processed 178 hotspots.
Total hexes: 1782
2:23
Bash # Check if the two files share the same hex_ids
# Check if the two files share the same hex_ids
python -c "import pandas as pd; import geopandas as gpd; \
df1 = pd.read_parquet('hotspot_ranking.parquet')['hex_id'].tolist(); \
df2 = gpd.read_parquet('hotspots.geoparquet')['hex_id'].tolist(); \
print('Match:', sorted(df1) == sorted(df2)); \
print('Size 1:', len(df1)); \
print('Size 2:', len(df2))"
Match: True
Size 1: 178
Size 2: 178
2:32
Bash # Check for any NaN in area_weighted_density or other columns
# Check for any NaN in area_weighted_density or other columns
python -c "import pandas as pd; df = pd.read_parquet('hotspot_ranking.parquet'); print(df.isna().sum())"
python -c "import geopandas as gpd; gdf = gpd.read_parquet('hotspots.geoparquet'); print(gdf.isna().sum())"
hex_id                   0
rank                     0
area_weighted_density    0
n_overlap_polygons       0
n_slivers_filtered       0
dtype: int64
hex_id                   0
rank                     0
area_weighted_density    0
geometry                 0
dtype: int64
2:38
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(df.head())"
     hex_id  rank  ...  n_overlap_polygons  n_slivers_filtered
0  H011-017     1  ...                   3                   1
1  H049-008     2  ...                   3                   2
2  H031-006     3  ...                   4                   3
3  H035-007     4  ...                   3                   2
4  H039-014     5  ...                   1                   0

[5 rows x 5 columns]
2:48
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(df.sort_values('rank').head()); print(df.sort_values('rank').tail())"
     hex_id  rank  ...  n_overlap_polygons  n_slivers_filtered
0  H011-017     1  ...                   3                   1
1  H049-008     2  ...                   3                   2
2  H031-006     3  ...                   4                   3
3  H035-007     4  ...                   3                   2
4  H039-014     5  ...                   1                   0

[5 rows x 5 columns]
       hex_id  rank  ...  n_overlap_polygons  n_slivers_filtered
173  H013-024   174  ...                  10                   0
174  H043-019   175  ...                   3                   0
175  H015-011   176  ...                  15                   1
176  H041-026   177  ...                   5                   1
177  H027-003   178  ...                  15                   2

[5 rows x 5 columns]
3:27