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Week 10: Spatial Interpolation and Prediction

Core Questions

  • What is the difference between interpolation and extrapolation?
  • How can spatial prediction fill gaps between sampled locations?
  • How should prediction uncertainty be interpreted?

Concepts

  • Spatial prediction.
  • Interpolation versus extrapolation.
  • Nearest-neighbor prediction.
  • Inverse distance weighting.
  • Kriging concepts.
  • Gaussian processes.
  • Prediction uncertainty.

Python Tools

  • scipy.
  • scikit-learn.
  • optionally gstools.

Applied Lab

Students hide observations from a spatial dataset and reconstruct an environmental or ecological surface using multiple interpolation or prediction methods.

Deliverable

Submit a prediction comparison showing observed points, predicted surfaces, held-out error, and uncertainty or limitations.