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NR 322: Interpolation

NR 322: Interpolation. Jim Graham Fall 2008 Chapters 7 and 8. US Temperature Range. Map of Species Richness. Interpolation. Interpolation is a method of constructing new data points within the range of a discrete set of known data points. Interpolation (IDW). Simple Interpolation. 50.

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NR 322: Interpolation

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  1. NR 322: Interpolation Jim Graham Fall 2008 Chapters 7 and 8

  2. US Temperature Range

  3. Map of Species Richness

  4. Interpolation • Interpolation is a method of constructing new data points within the range of a discrete set of known data points.

  5. Interpolation (IDW)

  6. Simple Interpolation 50 40 35 Measured Values 20 Spatial Cross-section

  7. Simple Interpolation 50 40 35 Measured Values 20 Spatial Cross-section

  8. Simple Interpolation 50 40 35 Measured Values 20 55 47 42 36 36 37 38 40 34 28 21 Spatial Cross-section

  9. Spline Interpolation 50 40 35 Measured Values 20 55 48 42 35 35 37 38 40 36 28 22 Spatial Cross-section

  10. First law of Geography • Everything is related to everything else, but near things are more related than distant things • TOBLER, W. R. (1970). "A computer movie simulating urban growth in the Detroit region". Economic Geography, 46(2): 234-240.

  11. Process • Obtain points with measurements • Interpolate between the points using: • Inverse Distance Weighting • Kriging • Splines • Convert the raster to vector using contours

  12. Vector (Points) to Rater • Interpolation • IDW • Kriging • Splines • Density

  13. Inverse Distance Weighting • Points closer to the pixel have more “weight”

  14. IDW – Variable Radius

  15. IDW – Fixed Radius

  16. Inverse Distance Weighting

  17. Spline • Spline type: Tension • Increase “Weight” or decrease the “Number of points”

  18. Splines

  19. Kriging • See the Geostatistical Analyst • NR/ST523 - Quantitative Spatial Analysis • NR512 - Introduction to Spatial Statistical Modeling of Natural Resources

  20. Kriging

  21. Geostatistical Analyst • Provides much more control over interpolation

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