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Spatial statistics

6 modules, 12.5 hours. Work through them in order: each module lists the ones it needs first.

  1. s1 Bias in records

    • PostgreSQL with PostGIS
    • Browser
    • 1.5 hours

    Prerequisites: Spatial joins (g3)

    Skills: Datasets, basis of record, telemetry, recording effort; framing results honestly

    • How much of the jaguar sample is GPS-collar data?
    • Which datasets and years dominate a species' records?
    • What can records say about where an animal lives, and what can't they?
  2. s2 Point patterns

    • PostgreSQL with PostGIS
    • Python
    • 2.5 hours

    Prerequisites: Bias in records (s1), Grids (g6)

    Skills: Quadrats, the nearest-neighbour index, kernel density, DBSCAN

    • Are devil records more clustered than chance?
    • Where is record density highest?
  3. s3 Spatial weights

    • PostgreSQL with PostGIS
    • Python
    • 2 hours

    Prerequisites: Point patterns (s2)

    Skills: Distance-band, k-nearest and contiguity weights; row standardization; islands; ties

    • Who are a cell's neighbours?
    • What does row standardization do, and what happens to a cell with none?
  4. s4 Global Moran's I

    • PostgreSQL with PostGIS
    • Python
    • 2 hours

    Prerequisites: Spatial weights (s3)

    Skills: Global Moran's I, its expectation, variance and z-score in SQL, matched by PySAL; permutation tests

    • Does record density cluster across Tasmania?
    • Do SQL and PySAL agree?
    • How does the answer change at 10 km?
  5. s5 Hot and cold spots

    • PostgreSQL with PostGIS
    • Python
    • 2.5 hours

    Prerequisites: Global Moran's I (s4)

    Skills: Local Moran's I (LISA) and Getis-Ord Gi*; false discovery rate

    • Where are the hot and cold spots of recording effort?
    • Which survive a false discovery rate correction?
  6. s6 Zonal statistics

    • PostgreSQL with PostGIS
    • Python
    • 2 hours

    Prerequisites: Hot and cold spots (s5), Rasters (g7)

    Skills: Zonal statistics on polygons and rasters; ratios normalized for effort

    • Do records over-represent some habitats or ecoregions, once effort is accounted for?