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Anisotropic least-cost path, corridor (LCC), FETE and PDI primitives for movement modelling — pure numpy/scipy.

Project description

Itinera

Anisotropic least-cost path (LCP), corridor (LCC), From-Everywhere-To-Everywhere (FETE), stochastic / probabilistic paths and Path Deviation Index (PDI) primitives for movement modelling — a pure numpy / scipy library extracted from the Itinera QGIS plugin.

Cost is directional (uphill ≠ downhill): each DEM cell becomes a graph node, edge weights come from a directional cost function of the signed slope, so the conductance matrix is asymmetric — true anisotropy. Paths are solved with scipy.sparse.csgraph.dijkstra.

pip install itinera

Only numpy and scipy are required.

Quick start

import numpy as np
from itinera import build_conductance, least_cost_path, tobler, rowcol_to_node

# A small DEM (elevations in metres) on a 10 m grid.
dem = np.random.default_rng(0).random((50, 50)) * 100.0

matrix, rows, cols = build_conductance(
    dem, cellsize=10.0, cost_fn=tobler, neighbours=8)

origin = rowcol_to_node(0, 0, cols)
dest = rowcol_to_node(49, 49, cols)
path, total_cost = least_cost_path(matrix, origin, dest)  # path = node indices

Turn node indices back into (row, col) with node_to_rowcol(node, cols).

What's included

  • Cost functions: tobler, tobler_offpath, herzog, naismith, llobera_sluckin — each (slope, distance) -> cost.
  • Conductance: build_conductance (slope, optional barrier/multiplier), build_conductance_friction (friction raster, optional DEM).
  • Paths: accumulated_cost, least_cost_path, corridor / corridor_band, fete.
  • Stochastic: stochastic_lcp, add_dem_error, add_global_stochasticity.
  • Validation: pdi.
  • Grid helpers: xy_to_rowcol, check_/assert_regular_geotransform, check_/assert_grids_aligned.
  • Utilities: estimate_conductance_bytes, format_bytes, block_reduce_mean.

Scope: bring your own raster I/O

This is a numerics library — it works on numpy arrays + a GDAL-style geotransform tuple. It does not depend on GDAL and does not read or write raster files. Load your DEM with whatever you already use (rasterio, osgeo.gdal, xarray/rioxarray, …) and pass the array in.

Use a projected CRS in metres so slope and distance are metric.

Relation to the QGIS plugin

The same code ships inside the Itinera QGIS plugin (where it is the plugin's private core package, plus QGIS/GDAL wrappers). The PyPI package and the QGIS plugin share the top-level import name itinera; they are meant for separate environments. Don't pip install itinera into the Python interpreter that runs QGIS — the plugin already bundles this code, and the two would shadow each other on sys.path.

Licence

MIT — see LICENSE. References for the methods (Tobler, Naismith, Herzog, Llobera & Sluckin, White & Barber, Lewis, Goodchild & Hunter) are in docs/REFERENCES.md.

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