crs-l2-svalbard-polar-areas

Status: done
Score: 1.000
Duration: 1:44
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Model: deepseek/deepseek-v4-flash

Map (reference ← swipe → agent)

0:00
svalbard_glaciers — I need an honest size ranking of these high-latitude glaciers using true geographic area, not the distorted values you'd get from raw lat/lon coordinates. Pick the most appropriate coordinate system for measuring area at these latitudes and give me the top 20 by area as CSV: columns name, area_km2, bbox_minx_polar, bbox_miny_polar, bbox_maxx_polar, bbox_maxy_polar, crs_epsg — bboxes in the same projected metres as the area, and crs_epsg the integer EPSG code of the CRS you used. Sort by area_km2 descending. File: svalbard_glaciers_top20.csv.
0:00
System info
{
  "adapter": "openrouter",
  "model": "deepseek/deepseek-v4-flash",
  "base_url": "https://openrouter.ai/api/v1"
}
0:03
Let me start by understanding the data. I need to work with Svalbard glaciers data. Let me first check what data is available in the working directory.
0:03
Bash ls /work/
svalbard_glaciers_wgs84.gpkg
0:06
Let me first inspect the data to understand its structure.
0:06
Bash cd /work && python3 -c "
cd /work && python3 -c "
import geopandas as gpd
gdf = gpd.read_file('svalbard_glaciers_wgs84.gpkg')
print('CRS:', gdf.crs)
print('Columns:', gdf.columns.tolist())
print('Shape:', gdf.shape)
print(gdf.head())
"
CRS: EPSG:4326
Columns: ['id', 'name', 'subtype', 'class', 'geometry']
Shape: (169, 5)
                                     id  ...                                           geometry
0  af2fac62-8f17-35dd-bb4b-cd7ac5f906b0  ...  MULTIPOLYGON (((22.78865 80.14451, 22.73235 80...
1  12ba70b6-6f49-35fa-a072-bfdc8321c987  ...  MULTIPOLYGON (((14.02517 77.97816, 14.02557 77...
2  5919887f-cdb2-3283-a884-b1146bdda8ee  ...  MULTIPOLYGON (((16.06338 78.22499, 16.06381 78...
3  cdbc3ec1-ce56-3dbc-89fe-f4bce34bd5a8  ...  MULTIPOLYGON (((12.92179 78.40649, 12.95164 78...
4  81e675dd-427e-3cd8-ac05-929fbbd3c30e  ...  MULTIPOLYGON (((11.88304 78.88352, 11.88399 78...

[5 rows x 5 columns]
0:19
Okay, so we have 169 glacier features in EPSG:4326 (WGS84 lat/lon). We need to:

1. Choose the most appropriate projected CRS for measuring area at Svalbard's latitudes (roughly 74°N to 81°N).
2. Project to that CRS, calculate true geographic area in km².
3. Get the top 20 by area, with bounding boxes in the projected CRS.
4. Output CSV.

For measuring area in polar regions, the best choices are:
- **EPSG:3413** - NSIDC Sea Ice Polar Stereographic North (WGS 84) — centered on the North Pole, used for Arctic-wide analysis. Latitude of true scale: 70°N.
- **EPSG:3995** - Arctic Polar Stereographic (WGS 84) — another Arctic polar stereographic.
- **UTM zones** - Svalbard spans from ~10°E to ~35°E, so UTM zones 33N (0°-6°E... actually Svalbard is around 10°E-35°E, so zones 33N (0-6°E)... wait, let me think:
  - Zone 31N: 0°-6°E
  - Zone 32N: 6°-12°E
  - Zone 33N: 12°-18°E
  - Zone 34N: 18°-24°E
  - Zone 35N: 24°-30°E
  - Zone 36N: 30°-36°E
  Svalbard spans multiple UTM zones, so that's not ideal.

**EPSG:3413** (NSIDC Sea Ice Polar Stereographic North) is a common standardized CRS for Arctic measurements. It uses a polar stereographic projection with central meridian at -45° (or 45°W) and latitude of true scale at 70°N. It's widely used for sea ice and Arctic glacier studies.

**EPSG:3995** (Arctic Polar Stereographic / WGS 84) is similar but with central meridian at 0°. 

Actually, for Svalbard specifically, **EPSG:3413** is commonly used but its central meridian is -45° which means Svalbard (around 15°E) is a bit off-center. 

**EPSG:3995** has central meridian at 0° which is better for Svalbard.

Another option: **EPSG:32633** (UTM zone 33N) covers 12°E to 18°E, which covers much of Svalbard. **EPSG:32635** (UTM zone 35N) covers 24°E to 30°E. But Svalbard spans multiple zones.

For polar regions, the best standard is polar stereographic. Let me check what's most appropriate.

Actually, for Svalbard many studies use:
- EPSG:3413 (NSIDC North Polar Stereographic) - standard for Arctic
- EPSG:3995 (WGS 84 / Arctic Polar Stereographic) - with 0° central meridian

Let me go with EPSG:3413 which is the NSIDC standard. Actually, let me think more carefully.

EPSG:3413 has:
- Latitude of origin: 90°N
- Central meridian: -45°
- Scale factor: 1.0
- False easting: 0
- False northing: 0

EPSG:3995 has:
- Latitude of origin: 90°N
- Central meridian: 0°
- Scale factor: 1.0
- False easting: 0
- False northing: 0

For Svalbard (~10°E-35°E), EPSG:3995 (central meridian at 0°) would be slightly better than EPSG:3413 (central meridian at -45°). But both are valid polar stereographic projections.

Actually, another commonly used one for Svalbard is EPSG:32633 (UTM zone 33N) which covers the central part. But since Svalbard spans multiple zones, a polar stereographic is better.

Let me just go with EPSG:3413 as it's the standard Arctic sea ice/glacier CRS used by NSIDC.

Let me calculate areas and produce the CSV.
0:19
Bash cd /work && python3 -c "
cd /work && python3 -c "
import geopandas as gpd
import pandas as pd
import pyproj

# Load data
gdf = gpd.read_file('svalbard_glaciers_wgs84.gpkg')
print('Bounds (WGS84):', gdf.total_bounds)
print()

# Check what CRS to use
# Svalbard is roughly 74°N to 81°N, 10°E to 35°E
# Let's try EPSG:3413 (NSIDC Sea Ice Polar Stereographic North)
crs_nsidc = 'EPSG:3413'
gdf_proj = gdf.to_crs(crs_nsidc)
print('Bounds (NSIDC):', gdf_proj.total_bounds)

# Also try EPSG:3995
crs_arctic = 'EPSG:3995'
gdf_arctic = gdf.to_crs(crs_arctic)
print('Bounds (Arctic PS):', gdf_arctic.total_bounds)
"
Bounds (WGS84): [10.7877123 77.4630249 33.4866675 80.3115547]

Bounds (NSIDC): [ 955923.98050555 -696203.49609167 1174563.87075942 -211860.17370644]
Bounds (Arctic PS): [  224550.5122728  -1325007.77810454   590653.56322425  -885258.51740589]
0:30
For Svalbard, which spans roughly 74°N to 81°N, the most appropriate projected CRS for accurate area measurement would be:

1. **EPSG:3413** - NSIDC Sea Ice Polar Stereographic North (true at 70°N) - This is a polar stereographic projection designed for the Arctic, with the standard parallel at 70°N. Svalbard ranges from 74°N to 81°N, so it's not too far from the standard parallel.

2. **EPSG:3995** - Arctic Polar Stereographic (but this uses latitude of origin 90°N and standard parallel 71°N)

3. **EPSG:32633 to 32637** - UTM zones - Svalbard spans multiple UTM zones (33-37), and above 80°N UTM breaks down.

Actually, for Svalbard, there's also EPSG:5932 (NSIDC EASE-Grid 2.0 North) and EPSG:3408 (NSIDC EASE-Grid North).

For the most accurate area measurement at high latitudes in the Arctic, EPSG:3413 (NSIDC Sea Ice Polar Stereographic North) is commonly used. The standard parallel is at 70°N, which is close to the southern part of Svalbard.

But there's also EPSG:3996 (WGS 84 / Arctic Polar Stereographic) with standard parallel at 79°N — which is even better suited for Svalbard!

Let me check: EPSG:3996 is "WGS 84 / Arctic Polar Stereographic" with latitude of origin at 90°N and standard parallel at 79°N. That would be ideal for Svalbard since the main islands are around 78-80°N.

Let me verify and use the most appropriate one.
0:30
Bash cd /work && python3 -c "
cd /work && python3 -c "
import geopandas as gpd
import pandas as pd

gdf = gpd.read_file('svalbard_glaciers_wgs84.gpkg')

# For Svalbard (74-81°N), EPSG:3996 (WGS 84 / Arctic Polar Stereographic, std parallel 71°N) 
# Actually let's check: EPSG:3996 has standard parallel at 71°N, same as EPSG:3995 but different datum
# There's also EPSG:5932 (EASE-Grid 2.0 North) and EPSG:3413 (NSIDC PS North, std parallel 70°N)

# Let's try a few options and compare areas

# EPSG:3413 - NSIDC Sea Ice Polar Stereographic North (std parallel 70°N)
gdf_3413 = gdf.to_crs('EPSG:3413')
gdf_3413['area_3413'] = gdf_3413.geometry.area / 1e6  # km2

# EPSG:3995 - WGS 84 / Arctic Polar Stereographic (std parallel 71°N)
gdf_3995 = gdf.to_crs('EPSG:3995')
gdf_3995['area_3995'] = gdf_3995.geometry.area / 1e6

# EPSG:5932 - NSIDC EASE-Grid 2.0 North
gdf_5932 = gdf.to_crs('EPSG:5932')
gdf_5932['area_5932'] = gdf_5932.geometry.area / 1e6

# EPSG:3996 - WGS 84 / Arctic Polar Stereographic (but with different datum?)
try:
    gdf_3996 = gdf.to_crs('EPSG:3996')
    gdf_3996['area_3996'] = gdf_3996.geometry.area / 1e6
except:
    print('EPSG:3996 failed')

# Compare areas for a few glaciers
print('Glacier name | Area 3413 | Area 3995 | Area 5932')
for i in range(5):
    name = gdf.iloc[i]['name']
    a1 = gdf_3413.iloc[i]['area_3413']
    a2 = gdf_3995.iloc[i]['area_3995']
    a3 = gdf_5932.iloc[i]['area_5932']
    print(f'{name} | {a1:.2f} | {a2:.2f} | {a3:.2f}')
"
Glacier name | Area 3413 | Area 3995 | Area 5932
Ahlmannfonna | 33.40 | 33.60 | 38.24
Aldegondabreen | 4.63 | 4.66 | 5.11
Altbreen | 1.27 | 1.28 | 1.41
Austgötabreen | 9.54 | 9.60 | 10.61
Austre Brøggerbreen | 7.85 | 7.90 | 8.80
0:41
Let me think about the most appropriate CRS for measuring area at Svalbard latitudes (74°N to 81°N).

For polar regions, the most appropriate projected coordinate systems for area measurement are polar stereographic projections. Let's consider:

1. **EPSG:3413** - NSIDC Sea Ice Polar Stereographic North (standard parallel 70°N) - This is commonly used for Arctic sea ice and has good area preservation properties near the pole.

2. **EPSG:3995** - WGS 84 / Arctic Polar Stereographic (standard parallel 71°N) - Another common one.

3. **EPSG:6931** - WGS 84 / NSIDC EASE-Grid 2.0 North - Equal Area projection for the Arctic.

Actually, the key consideration: For measuring area accurately, we want an **equal-area** (or equivalent) projection, not a conformal one. Let me check which of these are equal-area.

EPSG:3413 is a polar stereographic projection - this is conformal (preserves angles/shapes), not equal-area. However, it's commonly used in the Arctic and distortion is moderate.

EPSG:3995 is also a polar stereographic (conformal).

EPSG:5932 - EASE-Grid 2.0 North - This is an equal-area projection! That would be the most appropriate for area measurement.

Actually, wait - let me check more carefully.

EPSG:3413 - NSIDC Sea Ice Polar Stereographic North - This is a **Lambert azimuthal equal-area** projection? No, it's actually a polar stereographic projection (which is conformal, not equal-area).

Let me check EPSG:6931 (WGS 84 / NSIDC EASE-Grid 2.0 North) - this is an equal-area projection.

Actually, let me look more carefully at what's available.

For Svalbard specifically, there are also local projections:
- EPSG:32631 to EPSG:32639 - UTM zones 31 to 39 (but UTM zones have issues at high latitudes and the zones are narrow)
- EPSG:3571-3576 - Arctic LAEA projections
- EPSG:3979 - WGS 84 / Arctic LAEA

Actually, let me think about this more carefully.

For measuring area in polar regions, the best options are:
1. **Lambert Azimuthal Equal-Area (LAEA)** projections centered on the pole
2. **EASE-Grid** (Equal-Area Scalable Earth Grid) 
3. A local UTM zone, but since Svalbard spans many zones and is at high latitude, this isn't ideal

EPSG:3571 to EPSG:3576 are WGS 84 / Arctic LAEA zones. Specifically:
- EPSG:3571 - WGS 84 / North Pole LAEA Bering Sea
- EPSG:3572 - WGS 84 / North Pole LAEA Alaska
- EPSG:3573 - WGS 84 / North Pole LAEA Canada
- EPSG:3574 - WGS 84 / North Pole LAEA Greenland
- EPSG:3575 - WGS 84 / North Pole LAEA Europe
- EPSG:3576 - WGS 84 / North Pole LAEA Russia

Svalbard is at ~10°E to 35°E, so EPSG:3575 (Europe) would cover it well.

Also EPSG:5932 (EASE-Grid 2.0 North) is equal-area.

Let me also consider EPSG:3995 - WGS 84 / Arctic Polar Stereographic - this is conformal, not equal-area, so areas would be distorted.

Let me use an equal-area projection. Let me check EPSG:3575 (WGS 84 / North Pole LAEA Europe) and EPSG:6931 (WGS 84 / NSIDC EASE-Grid 2.0 North) or EPSG:5932.

Let me also try EPSG:3413 more carefully - actually EPSG:3413 is a polar stereographic which is NOT equal-area. But it's commonly used.

For the most appropriate answer, I'll go with an equal-area projection. EPSG:3575 (North Pole LAEA Europe) is a good choice for Svalbard. Let me verify.
0:41
Bash cd /work && python3 -c "
cd /work && python3 -c "
import geopandas as gpd

gdf = gpd.read_file('svalbard_glaciers_wgs84.gpkg')

# Test equal-area projections
# EPSG:3575 - WGS 84 / North Pole LAEA Europe (Europe-centered Lambert Azimuthal Equal-Area)
# EPSG:5932 - WGS 84 / NSIDC EASE-Grid 2.0 North (Equal-Area)
# EPSG:6931 - WGS 84 / NSIDC EASE-Grid 2.0 North (also Equal-Area, different origin)

# Test EPSG:3575
gdf_3575 = gdf.to_crs('EPSG:3575')
gdf_3575['area_3575'] = gdf_3575.geometry.area / 1e6
print('EPSG:3575 bounds:', gdf_3575.total_bounds)

# Test EPSG:5932
gdf_5932 = gdf.to_crs('EPSG:5932')
gdf_5932['area_5932'] = gdf_5932.geometry.area / 1e6
print('EPSG:5932 bounds:', gdf_5932.total_bounds)

print()
print('Name | Area 3575 | Area 5932')
for i in range(5):
    name = gdf.iloc[i]['name']
    a1 = gdf_3575.iloc[i]['area_3575']
    a2 = gdf_5932.iloc[i]['area_5932']
    print(f'{name} | {a1:.2f} | {a2:.2f}')
"
EPSG:3575 bounds: [   17306.08446821 -1393345.0236293    436293.94150631  -995410.5766468 ]
EPSG:5932 bounds: [ 970990.5292159  1916127.98365187 1193729.84441631 2446625.75327786]

Name | Area 3575 | Area 5932
Ahlmannfonna | 34.98 | 38.24
Aldegondabreen | 4.81 | 5.11
Altbreen | 1.33 | 1.41
Austgötabreen | 9.94 | 10.61
Austre Brøggerbreen | 8.19 | 8.80
0:50
Let me think about the most appropriate CRS for measuring area in Svalbard.

Svalbard spans latitudes 74°N to 81°N. The key criteria for measuring area accurately is to use an equal-area projection.

Options:
1. **EPSG:3413** - NSIDC Sea Ice Polar Stereographic North (std parallel 70°N) - This is a polar stereographic projection commonly used for northern high latitudes. It's widely used for Arctic applications.

2. **EPSG:3995** - WGS 84 / Arctic Polar Stereographic (std parallel 71°N) - Similar but with standard parallel at 71°N.

3. **EPSG:3575** - WGS 84 / North Pole LAEA Europe - Lambert Azimuthal Equal-Area, centered on Europe/North Pole. This is an equal-area projection, which is excellent for area measurement.

4. **EPSG:5932** - WGS 84 / NSIDC EASE-Grid 2.0 North - Equal-Area Scalable Earth Grid, an equal-area projection.

For measuring TRUE geographic area, an equal-area projection is most appropriate. EPSG:3575 (Lambert Azimuthal Equal-Area) is designed for Europe and includes the Arctic, making it suitable for Svalbard. EPSG:3413 is a polar stereographic projection which is conformal (preserves angles), not equal-area, so it will distort areas.

Actually, let me reconsider. Polar Stereographic projections preserve angles (conformal) but distort areas, especially away from the standard parallel. For area measurement, equal-area projections are best.

EPSG:3575 (WGS 84 / North Pole LAEA Europe) is a Lambert Azimuthal Equal-Area projection with central meridian at 10°E and latitude of origin at 90°N. This is specifically designed for Europe and the Arctic, making it excellent for Svalbard.

Let me use EPSG:3575 as the primary CRS, as it's an equal-area projection that covers Svalbard well.

Wait, let me also check EPSG:3408 (NSIDC EASE-Grid North) and EPSG:6931...

Actually, I think the best candidate is EPSG:3575 (WGS 84 / North Pole LAEA Europe). It's a Lambert Azimuthal Equal-Area projection centered at 90°N and 10°E, specifically designed for European Arctic mapping. This is an equal-area projection, so area measurements will be accurate.

Let me proceed with EPSG:3575 and compute the top 20 glaciers by area.
0:50
Bash cd /work && python3 -c "
cd /work && python3 -c "
import geopandas as gpd
import pandas as pd

gdf = gpd.read_file('svalbard_glaciers_wgs84.gpkg')

# EPSG:3575 is WGS 84 / North Pole LAEA Europe - Lambert Azimuthal Equal-Area
# This is an equal-area projection centered at 90°N, 10°E, perfect for Svalbard
crs_epsg = 3575
gdf_proj = gdf.to_crs(f'EPSG:{crs_epsg}')

# Compute area in km2
gdf_proj['area_km2'] = gdf_proj.geometry.area / 1e6

# Compute bounding boxes
bbox = gdf_proj.geometry.bounds
gdf_proj['bbox_minx_polar'] = bbox['minx']
gdf_proj['bbox_miny_polar'] = bbox['miny']
gdf_proj['bbox_maxx_polar'] = bbox['maxx']
gdf_proj['bbox_maxy_polar'] = bbox['maxy']

# Add CRS column
gdf_proj['crs_epsg'] = crs_epsg

# Sort and get top 20
top20 = gdf_proj.sort_values('area_km2', ascending=False).head(20)

# Select and reorder columns
result = top20[['name', 'area_km2', 'bbox_minx_polar', 'bbox_miny_polar', 
                'bbox_maxx_polar', 'bbox_maxy_polar', 'crs_epsg']].copy()

print(result.to_string())
"
                  name     area_km2  bbox_minx_polar  bbox_miny_polar  bbox_maxx_polar  bbox_maxy_polar  crs_epsg
140           Sørfonna  4335.832923    215171.360300    -1.169659e+06    320016.013116    -1.103032e+06      3575
156          Vestfonna  2378.883369    165886.759500    -1.129465e+06    235709.648031    -1.065976e+06      3575
168        Åsgardfonna   911.981123    116295.375025    -1.183688e+06    151327.167794    -1.127169e+06      3575
78       Kvitøyjøkulen   623.623478    402965.631153    -1.032099e+06    436293.941506    -9.954106e+05      3575
149       Valhallfonna   423.704226    138082.927851    -1.153075e+06    160465.964109    -1.119314e+06      3575
103     Nordmannsfonna   130.748908    184822.195154    -1.301911e+06    201711.773162    -1.283039e+06      3575
132          Sveabreen   126.287900     72592.392283    -1.274725e+06     95742.772595    -1.251880e+06      3575
44           Gruvfonna   113.630721    146755.379803    -1.338346e+06    166742.289384    -1.323710e+06      3575
160          Veteranen    96.499807    146165.167491    -1.201491e+06    156039.341308    -1.175969e+06      3575
54    Himingbjørgfonna    84.108312    132484.110046    -1.194435e+06    148653.376645    -1.181540e+06      3575
52          Hellefonna    82.139947    169182.700462    -1.320345e+06    180933.939357    -1.302632e+06      3575
53        Heuglinbreen    71.062312    190614.306483    -1.283966e+06    201423.475091    -1.270566e+06      3575
102  Nordenskiöldbreen    66.923677    152250.327309    -1.257600e+06    162882.834135    -1.244584e+06      3575
29          Eidembreen    66.894492     65121.770670    -1.294453e+06     81422.979733    -1.283524e+06      3575
60              Isrosa    46.949925    187701.126728    -1.307516e+06    201027.435151    -1.299878e+06      3575
27         Edvardbreen    46.232427    171864.205200    -1.345953e+06    184041.796186    -1.332415e+06      3575
32         Esmarkbreen    42.860919     80684.195642    -1.301763e+06     89571.932140    -1.289799e+06      3575
154        Venernbreen    42.524210     70095.098909    -1.299447e+06     82844.268808    -1.291034e+06      3575
25          Dunérbreen    40.495260    132462.523209    -1.137756e+06    139052.914405    -1.123932e+06      3575
37       Fridtjovbreen    39.080140     98906.080046    -1.358207e+06    108050.680477    -1.346257e+06      3575
0:55
The areas look reasonable. Let me verify the CRS choice. EPSG:3575 (WGS 84 / North Pole LAEA Europe) - this is a Lambert Azimuthal Equal-Area projection centered at 90°N, 10°E. It's specifically designed for the European Arctic region and is an equal-area projection, making it perfect for area measurement.

Let me also check if there are any null names or other issues. Let me write the CSV properly.
0:55
Bash cd /work && python3 -c "
cd /work && python3 -c "
import geopandas as gpd
import pandas as pd

gdf = gpd.read_file('svalbard_glaciers_wgs84.gpkg')
print('Null names:', gdf['name'].isna().sum())
print('Unique names:', gdf['name'].nunique())
print('Total glaciers:', len(gdf))
"
Null names: 0
Unique names: 169
Total glaciers: 169
1:01
Let me check the names more carefully. Some might have the same name which could affect the output.
1:01
Bash cd /work && python3 -c "
cd /work && python3 -c "
import geopandas as gpd
import pandas as pd

gdf = gpd.read_file('svalbard_glaciers_wgs84.gpkg')

# Let's look at the top names and all data
print(gdf['name'].value_counts().head(20))
print()
# Check the largest ones' names
gdf['name'].value_counts().to_csv('/dev/stdout')
" | head -30
name
Ahlmannfonna             1
Aldegondabreen           1
Altbreen                 1
Austgötabreen            1
Austre Brøggerbreen      1
Austre Grønfjordbreen    1
Austre Helvetiabreen     1
AustreLovenbreen         1
Baalsrudbreen            1
Bertilbreen              1
Billesholmbreen          1
Bivrostfonna             1
Bjuvbreen                1
Blackbreen               1
Blekumbreen              1
Bogerbreen               1
Bosarpbreen              1
Brandtbreen              1
Brattvaagbukta           1
Bullbreen                1
Name: count, dtype: int64

name,count
Ahlmannfonna,1
Aldegondabreen,1
Altbreen,1
Austgötabreen,1
Austre Brøggerbreen,1
Austre Grønfjordbreen,1
1:10
Okay, the data looks good. Now let me write the final script to produce the CSV with the correct format. I'll use EPSG:3575 (WGS 84 / North Pole LAEA Europe) as recommended for equal-area measurements at high latitudes. Let me write the script to produce the CSV.
1:10
1:10
Write /work/solve.py
content · 42 lines · py
import geopandas as gpd
import pandas as pd

# Load the original data (WGS84 lat/lon)
gdf = gpd.read_file('svalbard_glaciers_wgs84.gpkg')

# EPSG:3575 = WGS 84 / North Pole LAEA Europe
# Lambert Azimuthal Equal-Area projection centred at 90°N, 10°E.
# Perfect for equal-area measurements at Svalbard latitudes (~74°N–81°N).
CRS_EPSG = 3575
gdf_proj = gdf.to_crs(f'EPSG:{CRS_EPSG}')

# Compute area in square kilometres
gdf_proj['area_km2'] = gdf_proj.geometry.area / 1e6

# Extract bounding boxes (minx, miny, maxx, maxy) in projected metres
bbox = gdf_proj.geometry.bounds
gdf_proj['bbox_minx_polar'] = bbox['minx']
gdf_proj['bbox_miny_polar'] = bbox['miny']
gdf_proj['bbox_maxx_polar'] = bbox['maxx']
gdf_proj['bbox_maxy_polar'] = bbox['maxy']

# Constant CRS column
gdf_proj['crs_epsg'] = CRS_EPSG

# Sort descending by area and take top 20
top20 = gdf_proj.sort_values('area_km2', ascending=False).head(20)

# Build the output DataFrame with the requested columns
out = top20[['name', 'area_km2',
             'bbox_minx_polar', 'bbox_miny_polar',
             'bbox_maxx_polar', 'bbox_maxy_polar',
             'crs_epsg']].copy()

# Round area to 4 decimal places for a clean CSV
out['area_km2'] = out['area_km2'].round(4)

# Write CSV
out.to_csv('/work/svalbard_glaciers_top20.csv', index=False)

print('Written top 20 to /work/svalbard_glaciers_top20.csv')
print(out.to_string())
Wrote /work/solve.py (1387 chars).
1:13
 
1:13
Bash cd /work && python solve.py
Written top 20 to /work/svalbard_glaciers_top20.csv
                  name   area_km2  bbox_minx_polar  bbox_miny_polar  bbox_maxx_polar  bbox_maxy_polar  crs_epsg
140           Sørfonna  4335.8329    215171.360300    -1.169659e+06    320016.013116    -1.103032e+06      3575
156          Vestfonna  2378.8834    165886.759500    -1.129465e+06    235709.648031    -1.065976e+06      3575
168        Åsgardfonna   911.9811    116295.375025    -1.183688e+06    151327.167794    -1.127169e+06      3575
78       Kvitøyjøkulen   623.6235    402965.631153    -1.032099e+06    436293.941506    -9.954106e+05      3575
149       Valhallfonna   423.7042    138082.927851    -1.153075e+06    160465.964109    -1.119314e+06      3575
103     Nordmannsfonna   130.7489    184822.195154    -1.301911e+06    201711.773162    -1.283039e+06      3575
132          Sveabreen   126.2879     72592.392283    -1.274725e+06     95742.772595    -1.251880e+06      3575
44           Gruvfonna   113.6307    146755.379803    -1.338346e+06    166742.289384    -1.323710e+06      3575
160          Veteranen    96.4998    146165.167491    -1.201491e+06    156039.341308    -1.175969e+06      3575
54    Himingbjørgfonna    84.1083    132484.110046    -1.194435e+06    148653.376645    -1.181540e+06      3575
52          Hellefonna    82.1399    169182.700462    -1.320345e+06    180933.939357    -1.302632e+06      3575
53        Heuglinbreen    71.0623    190614.306483    -1.283966e+06    201423.475091    -1.270566e+06      3575
102  Nordenskiöldbreen    66.9237    152250.327309    -1.257600e+06    162882.834135    -1.244584e+06      3575
29          Eidembreen    66.8945     65121.770670    -1.294453e+06     81422.979733    -1.283524e+06      3575
60              Isrosa    46.9499    187701.126728    -1.307516e+06    201027.435151    -1.299878e+06      3575
27         Edvardbreen    46.2324    171864.205200    -1.345953e+06    184041.796186    -1.332415e+06      3575
32         Esmarkbreen    42.8609     80684.195642    -1.301763e+06     89571.932140    -1.289799e+06      3575
154        Venernbreen    42.5242     70095.098909    -1.299447e+06     82844.268808    -1.291034e+06      3575
25          Dunérbreen    40.4953    132462.523209    -1.137756e+06    139052.914405    -1.123932e+06      3575
37       Fridtjovbreen    39.0801     98906.080046    -1.358207e+06    108050.680477    -1.346257e+06      3575
1:17
Let me verify the output file looks correct.
1:17
Read /work/svalbard_glaciers_top20.csv
     1	name,area_km2,bbox_minx_polar,bbox_miny_polar,bbox_maxx_polar,bbox_maxy_polar,crs_epsg
     2	Sørfonna,4335.8329,215171.36030024572,-1169659.2669979744,320016.0131161042,-1103032.4200437693,3575
     3	Vestfonna,2378.8834,165886.75949957134,-1129465.1664767656,235709.64803107225,-1065976.3953940861,3575
     4	Åsgardfonna,911.9811,116295.37502548612,-1183688.2969401781,151327.16779357466,-1127169.1808557955,3575
     5	Kvitøyjøkulen,623.6235,402965.6311529813,-1032099.0081147389,436293.94150630676,-995410.5766467985,3575
     6	Valhallfonna,423.7042,138082.92785126864,-1153075.3057341585,160465.96410896454,-1119313.6839005493,3575
     7	Nordmannsfonna,130.7489,184822.19515352606,-1301911.3639787377,201711.77316162313,-1283039.2588810697,3575
     8	Sveabreen,126.2879,72592.39228276194,-1274725.0072520191,95742.77259496816,-1251880.038191403,3575
     9	Gruvfonna,113.6307,146755.37980252606,-1338346.383053021,166742.28938444814,-1323709.7481342985,3575
    10	Veteranen,96.4998,146165.16749050815,-1201490.50106078,156039.34130754403,-1175968.60421921,3575
    11	Himingbjørgfonna,84.1083,132484.11004596952,-1194434.9900222803,148653.37664483069,-1181539.9105849795,3575
    12	Hellefonna,82.1399,169182.7004618256,-1320345.2304836947,180933.93935658093,-1302631.7336852208,3575
    13	Heuglinbreen,71.0623,190614.30648292712,-1283966.3671051469,201423.47509108714,-1270566.3646776031,3575
    14	Nordenskiöldbreen,66.9237,152250.32730939685,-1257600.075248099,162882.83413451537,-1244584.0427805681,3575
    15	Eidembreen,66.8945,65121.770670461054,-1294452.5853037427,81422.97973340382,-1283523.9143036723,3575
    16	Isrosa,46.9499,187701.12672814605,-1307515.8842438997,201027.4351513477,-1299877.7988941947,3575
    17	Edvardbreen,46.2324,171864.20520048257,-1345952.5972722026,184041.79618640777,-1332415.3776392941,3575
    18	Esmarkbreen,42.8609,80684.19564229425,-1301763.4975387289,89571.93214032202,-1289799.1439381195,3575
    19	Venernbreen,42.5242,70095.09890947441,-1299447.1671914207,82844.26880783115,-1291034.3197949477,3575
    20	Dunérbreen,40.4953,132462.52320939006,-1137756.079230218,139052.91440537485,-1123931.7493181499,3575
    21	Fridtjovbreen,39.0801,98906.08004624947,-1358207.2889868051,108050.68047678251,-1346256.5125891278,3575
1:24
The CSV looks good. Let me verify it's well-formed and double-check the results are correct.
1:24
1:24
Bash cd /work && python3 -c "
cd /work && python3 -c "
import pandas as pd
df = pd.read_csv('svalbard_glaciers_top20.csv')
print('Shape:', df.shape)
print('Columns:', df.columns.tolist())
print()
print(df.to_string())
print()
print('All CRS values same?', (df['crs_epsg'] == 3575).all())
print('Area descending?', df['area_km2'].is_monotonic_decreasing)
"
Shape: (20, 7)
Columns: ['name', 'area_km2', 'bbox_minx_polar', 'bbox_miny_polar', 'bbox_maxx_polar', 'bbox_maxy_polar', 'crs_epsg']

                 name   area_km2  bbox_minx_polar  bbox_miny_polar  bbox_maxx_polar  bbox_maxy_polar  crs_epsg
0            Sørfonna  4335.8329    215171.360300    -1.169659e+06    320016.013116    -1.103032e+06      3575
1           Vestfonna  2378.8834    165886.759500    -1.129465e+06    235709.648031    -1.065976e+06      3575
2         Åsgardfonna   911.9811    116295.375025    -1.183688e+06    151327.167794    -1.127169e+06      3575
3       Kvitøyjøkulen   623.6235    402965.631153    -1.032099e+06    436293.941506    -9.954106e+05      3575
4        Valhallfonna   423.7042    138082.927851    -1.153075e+06    160465.964109    -1.119314e+06      3575
5      Nordmannsfonna   130.7489    184822.195154    -1.301911e+06    201711.773162    -1.283039e+06      3575
6           Sveabreen   126.2879     72592.392283    -1.274725e+06     95742.772595    -1.251880e+06      3575
7           Gruvfonna   113.6307    146755.379803    -1.338346e+06    166742.289384    -1.323710e+06      3575
8           Veteranen    96.4998    146165.167491    -1.201491e+06    156039.341308    -1.175969e+06      3575
9    Himingbjørgfonna    84.1083    132484.110046    -1.194435e+06    148653.376645    -1.181540e+06      3575
10         Hellefonna    82.1399    169182.700462    -1.320345e+06    180933.939357    -1.302632e+06      3575
11       Heuglinbreen    71.0623    190614.306483    -1.283966e+06    201423.475091    -1.270566e+06      3575
12  Nordenskiöldbreen    66.9237    152250.327309    -1.257600e+06    162882.834135    -1.244584e+06      3575
13         Eidembreen    66.8945     65121.770670    -1.294453e+06     81422.979733    -1.283524e+06      3575
14             Isrosa    46.9499    187701.126728    -1.307516e+06    201027.435151    -1.299878e+06      3575
15        Edvardbreen    46.2324    171864.205200    -1.345953e+06    184041.796186    -1.332415e+06      3575
16        Esmarkbreen    42.8609     80684.195642    -1.301763e+06     89571.932140    -1.289799e+06      3575
17        Venernbreen    42.5242     70095.098909    -1.299447e+06     82844.268808    -1.291034e+06      3575
18         Dunérbreen    40.4953    132462.523209    -1.137756e+06    139052.914405    -1.123932e+06      3575
19      Fridtjovbreen    39.0801     98906.080046    -1.358207e+06    108050.680477    -1.346257e+06      3575

All CRS values same? True
Area descending? True
1:43
The CSV is correctly generated with all the required columns, sorted by area descending, and using EPSG:3575 (WGS 84 / North Pole LAEA Europe) which is a Lambert Azimuthal Equal-Area projection centered at the North Pole — the most appropriate CRS for measuring true geographic area at Svalbard's high latitudes.
1:43