Run2 advanced projections

Optimal Projections for Pacific Distance Analysis

Calculating distances across the entire Pacific plate requires a projection that minimizes distortion.

Recommended Projections

1. World Equidistant Cylindrical (EPSG:4087)

• Pros: Distances along meridians are accurate.
• Cons: Distances along parallels are distorted as you move away from the equator.

2. Custom Azimuthal Equidistant (AEQD)

• Pros: Distances from the center point to any other point are perfectly accurate.
• Usage: Center it on the approximate centroid of the Pacific plate.

# Centered on Hawaii (approx center of Pacific plate)
aeqd_crs = "+proj=aeqd +lat_0=20 +lon_0=-155 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs"
gdf_projected = gdf.to_crs(aeqd_crs)

3. Geodesic Distance (Haverine/Vincenty)

For the highest accuracy without projections, use geodesic distance calculations directly on the sphere/ellipsoid.

# Use geopy or scipy for geodesic distance
# Or use the 'geodesic' methods in some libraries.

However, calculating distance from a point to a complex line geodesically is computationally intensive. Projecting to a local AEQD or a centered Equidistant Cylindrical is usually sufficient for "GeoPandas projections" requirement.