Hacky Python script to plot across England the Voronoi boundary between Scotland and Ireland, showing which English point is closer to which of its neighbours, as a GPX file.

gb-scotland-ireland-voronoi-boundary.py

#!/usr/bin/env python3
"""
Generate a GPX line dividing parts of England that are closer to Scotland
than to Ireland, using real polygon boundaries from Natural Earth.
"""

import os
import tempfile
import requests
from zipfile import ZipFile
from io import BytesIO

# pip install "numpy<1.25" geopandas shapely matplotlib requests pandas
import geopandas as gpd
import pandas as pd
import numpy as np
from shapely.geometry import Point, LineString
import matplotlib.pyplot as plt
from scipy.interpolate import griddata

def download_shapefile(url, target_dir):
    """Download and extract a Natural Earth shapefile zip into target_dir."""
    headers = {"User-Agent": "Mozilla/5.0"}
    fname = os.path.basename(url)
    local_zip = os.path.join(target_dir, fname)
    if not os.path.exists(local_zip):
        print(f"Downloading {fname} ...")
        r = requests.get(url, headers=headers)
        r.raise_for_status()
        with open(local_zip, "wb") as f:
            f.write(r.content)
    with ZipFile(local_zip, "r") as zip_ref:
        zip_ref.extractall(target_dir)

def main():
    tmpdir = tempfile.gettempdir()

    # --- 1. Download and load admin-1 (subcountry) shapefile ---
    ne_admin1_url = "https://naturalearth.s3.amazonaws.com/10m_cultural/ne_10m_admin_1_states_provinces.zip"
    download_shapefile(ne_admin1_url, tmpdir)
    admin1_path = os.path.join(tmpdir, "ne_10m_admin_1_states_provinces.shp")
    admin1 = gpd.read_file(admin1_path)

    # --- 2. Download and load country-level shapefile ---
    ne_countries_url = "https://naturalearth.s3.amazonaws.com/10m_cultural/ne_10m_admin_0_countries.zip"
    download_shapefile(ne_countries_url, tmpdir)
    countries_path = os.path.join(tmpdir, "ne_10m_admin_0_countries.shp")
    countries = gpd.read_file(countries_path)

    # --- 3. Extract polygons ---
    # First, filter admin1 to get UK regions (by iso_a2 for GB, most reliable)
    uk_filter = None
    if 'iso_a2' in admin1.columns:
        uk_regions = admin1[admin1['iso_a2'] == 'GB']
        if len(uk_regions) > 0:
            uk_filter = uk_regions
    if uk_filter is None or len(uk_filter) == 0:
        # Fallback to admin column
        if 'admin' in admin1.columns:
            uk_regions = admin1[admin1['admin'].str.contains("United Kingdom", case=False, na=False)]
            # Also filter by iso_a2 to ensure we only get GB
            if 'iso_a2' in uk_regions.columns:
                uk_regions = uk_regions[uk_regions['iso_a2'] == 'GB']
            if len(uk_regions) > 0:
                uk_filter = uk_regions
    if uk_filter is None or len(uk_filter) == 0:
        raise ValueError("Could not find UK regions in admin1. Check 'admin' or 'iso_a2' columns.")
    
    # Now filter UK regions by name to get England, Scotland, Northern Ireland
    name_col = None
    for col in ['name', 'NAME', 'name_en', 'name_alt', 'gn_name']:
        if col in uk_filter.columns:
            name_col = col
            break
    
    if name_col is None:
        raise ValueError("Could not find name column in UK regions.")
    
    # Scotland regions (contains "Scotland" or known Scottish region names)
    scotland = uk_filter[uk_filter[name_col].str.contains("Scotland|Scottish|Edinburgh|Glasgow|Highland|Aberdeen|Dundee|Fife|Stirling|Falkirk|Borders|Dumfries|Galloway|Argyll|Bute|Renfrewshire|Ayrshire|Lanarkshire|Dunbartonshire|Eilean Siar|Orkney|Shetland", case=False, na=False)]
    
    # Northern Ireland regions
    northern_ireland = uk_filter[uk_filter[name_col].str.contains("Derry|Londonderry|Antrim|Down|Armagh|Tyrone|Fermanagh|Belfast|Northern Ireland|Strabane|Limavady|Coleraine|Moyle|Larne|Carrickfergus|Newtownabbey|North Down|Ards|Magherafelt|Omagh|Mid Ulster|Craigavon|Banbridge|Lisburn|Ballymoney|Ballymena|Castlereagh", case=False, na=False)]
    
    # Wales regions (contains "Wales" or Welsh county names)
    wales = uk_filter[uk_filter[name_col].str.contains("Wales|Welsh|Gwynedd|Conwy|Denbighshire|Flintshire|Wrexham|Powys|Ceredigion|Pembrokeshire|Carmarthenshire|Swansea|Neath|Port Talbot|Bridgend|Vale of Glamorgan|Cardiff|Newport|Caerphilly|Rhondda|Cynon|Taff|Blaenau Gwent|Torfaen|Merthyr|Monmouthshire|Anglesey", case=False, na=False)]
    
    # England = all UK regions that are not Scotland, Wales, or Northern Ireland
    england = uk_filter[~uk_filter.index.isin(scotland.index) & 
                        ~uk_filter.index.isin(wales.index) & 
                        ~uk_filter.index.isin(northern_ireland.index)]
    
    republic_ireland = countries[countries['NAME'].str.contains("Ireland", case=False, na=False)]
    
    print(f"Found {len(england)} England, {len(scotland)} Scotland, {len(northern_ireland)} Northern Ireland polygons")
    
    # Check that we have England data before CRS conversion
    if len(england) == 0:
        raise ValueError("No England polygons found! This shouldn't happen.")
    
    # Check other regions too
    if len(scotland) == 0:
        print("Warning: No Scotland polygons found!")
    if len(northern_ireland) == 0:
        print("Warning: No Northern Ireland polygons found!")

    # Merge Northern Ireland with Republic to get full island of Ireland
    if len(republic_ireland) == 0:
        raise ValueError("No Republic of Ireland found in countries!")
    
    ireland = gpd.GeoDataFrame(pd.concat([republic_ireland, northern_ireland], ignore_index=True),
                               crs=republic_ireland.crs)

    # --- 4. Project to EPSG:3857 (meters, planar) ---
    england = england.to_crs(3857)
    scotland = scotland.to_crs(3857)
    ireland = ireland.to_crs(3857)

    print("Data loaded: England, Scotland, Ireland")

    # --- 5. Generate grid points over England ---
    minx, miny, maxx, maxy = england.total_bounds
    nx, ny = 400, 600  # resolution
    xs = np.linspace(minx, maxx, nx)
    ys = np.linspace(miny, maxy, ny)
    points = [Point(x, y) for y in ys for x in xs]
    grid = gpd.GeoDataFrame(geometry=points, crs=england.crs)

    # Keep only points inside (or intersecting) England polygon
    england_union = england.geometry.union_all()
    grid = grid[grid.geometry.intersects(england_union)]

    if len(grid) == 0:
        raise ValueError("No points inside England polygon! Check grid resolution.")

    # --- 6. Compute distances to Scotland and Ireland ---
    scot_union = scotland.geometry.union_all()
    ire_union = ireland.geometry.union_all()

    print("Computing distances...")
    grid["d_scot"] = grid.geometry.distance(scot_union)
    grid["d_ire"] = grid.geometry.distance(ire_union)
    grid["delta"] = grid["d_scot"] - grid["d_ire"]

    # --- 7. Interpolate onto regular grid for contouring ---
    print("Generating contour...")
    px = grid.geometry.x.values
    py = grid.geometry.y.values
    pval = grid["delta"].values

    XI, YI = np.meshgrid(np.linspace(px.min(), px.max(), nx),
                         np.linspace(py.min(), py.max(), ny))
    ZI = griddata((px, py), pval, (XI, YI), method="linear")

    # --- 8. Extract 0-level contour (equal-distance line) ---
    cs = plt.contour(XI, YI, ZI, levels=[0], colors="red")
    plt.close()
    
    # Extract contour lines - use allsegs which is more reliable across matplotlib versions
    lines = []
    if hasattr(cs, 'allsegs') and len(cs.allsegs) > 0:
        # allsegs is a list of lists of arrays, one per level
        for level_segs in cs.allsegs:
            for seg in level_segs:
                if len(seg) > 1:
                    lines.append(LineString(seg))
    elif hasattr(cs, 'collections'):
        # Fallback to collections API
        for coll in cs.collections:
            for path in coll.get_paths():
                vertices = path.vertices
                if len(vertices) > 1:
                    lines.append(LineString(vertices))
    else:
        raise ValueError("Could not extract contour lines from matplotlib contour object.")
    
    if len(lines) == 0:
        raise ValueError("No contour line found! The equal-distance line may not exist.")
    
    divider = gpd.GeoDataFrame(geometry=lines, crs=england.crs)

    # --- 9. Convert to WGS84 (lat/lon) for GPX export ---
    print("Converting to WGS84...")
    divider = divider.to_crs(4326)  # WGS84

    # --- 10. Export to GPX ---
    out_path = os.path.join(os.getcwd(), "england_scotland_ireland_divider.gpx")
    divider.to_file(out_path, driver="GPX")
    print(f"✅ Divider line saved to: {out_path}")

if __name__ == "__main__":
    import sys
    sys.stdout.flush()
    print("Script starting...", file=sys.stderr)
    main()

output.gpx

<?xml version="1.0"?>
<gpx version="1.1" creator="GDAL 3.10.3" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.topografix.com/GPX/1/1" xsi:schemaLocation="http://www.topografix.com/GPX/1/1 http://www.topografix.com/GPX/1/1/gpx.xsd">
<metadata>
<bounds minlat="51.076675540062517" minlon="-6.225263132522674" maxlat="55.443643336975391" maxlon="1.240034562270344"/>                                        
</metadata>
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