1. Reading Assignment: Bolstad Chapters 10 & 11 Spatial Analysis (Raster)

2. Spring Break Next Week! During break fill out address form for ~ 20 places –Will be used later in lab for Home Range analysis

3. Raster Data Model Uses grid cells of a given dimension to represent the value or attribute of a real world entity or phenomenon.

4. In a raster layer, the cells are arranged in rows and columns. All cells in a raster layer are the same size. Cell Size = Spatial Resolution: the dimension of the area covered on the ground and represented by a single cell (e.g., 10m).

5. The value may be a measurement or a code. Cell values are numeric: can be either positive or negative, integer, or floating point.

6. Applications –Predictive modeling –The fate of pollutants –Fire spread –Determine erosion potential –Estimates of forest growth –Change detection

7. Map Algebra: Dana Tomlin and Joseph Berry (1970’s) A method of treating individual raster layers as members of algebraic expressions. 2 * LayerA Raster is Faster! Vector is corrector

8. Arithmetic Operators (+, -, *, /) Mathematical Functions (Sqr, Sqrt, Log, Abs, exp, int, etc.) Comparison Operators (>, >=, =, <>, <, <=) Boolean Operators (AND, OR, NOT, XOR) Map Algebra: LayerA + LayerB

9. Map Algebra: Input Output LayerA * LayerB

10. Raster Calculator (for map algebra) Raster Calculator (for map algebra) Spatial Analyst (extension for working with raster data) Spatial Analyst (extension for working with raster data) Converting feet to meters

11. Probability of encountering the cascade treefrog (Litoria pearsoniana) within the forests of eastern Australia: 1 / (1 + exp(10.48 – 2.204 * log 10 (RAINFALL) – 2.037 * PALMS)) RAINFALL= the annual volume of rain falling in the watershed above the stream PALMS = 1 if palms are present at the site and 0 otherwise. Map Algebra Examples: Fire Hazard : [Fuel Density Hazard] + [Slope Hazard] + [Veg Type Hazard] Probability of success for entrepreneurs in Mendocino County 1 / (1 + exp(-(1.010e + 0) + (6.409e-02 * acreage) + (-7.100e-06 * land_value) + (-2.797e-01 * CE_count) + (-1.234e-02 * tot_pop))))))

12. Green = suitable aspect (cell value = 1) Red = unsuitable aspect (cell value = 0) Slope < 20 degrees South facing slopes aspect between 150 and 200 degrees. Identifying suitable habitat Green = suitable slope (cell value = 1) Red = unsuitable slope (cell value = 0)

13. “suitable aspect” * “suitable slope” suitable_habitat

14. Cell value = 1… Suitable slope & Suitable aspect Cell value = 1… Suitable slope & Suitable aspect 1001 1100 0001 0101 0000 0110 1101 1101 0000 0100 0001 0101 * =

15. Slope < 20 degrees South facing slopes aspect between 150 and 200 degrees. ? Reclassification

16. Reclassification: Assigns new output values that depend on the specific sets of input values (usually defined by a range of values) 1 11 1 1 1 1 12 2 1 23 44 4 2 3 4

17. 0 Identify Slope < 20 degrees Reclassify

19. Comparison operators < Layer 1 Layer 2 = Comparing the cell value in one layer to the cell value in another layer. N = No Data (>, >=, =, <>, <, <=)

20. Identify Slope < 20 degrees (Alternative method) Identify Slope < 20 degrees (Alternative method) “Slope” < 20

22. Boolean operators Layer 1Layer 2 Output = 1 where both input cells are something other than 0 or “N” (No Data) Output = 1 where one input cell or the other is something other than 0 or “N” Output = 1 where input cell is a 0 (AND, OR, NOT, XOR)

23. XOR [RAINFALL] > 20 XOR [SLOPE] < 35 Boolean operators If the rainfall value is 21 and the slope value is 34 at a particular location, what would the output cell value be at that location? 0

24. Finding cells within a specific elevation range (500 -1000m) Combining Boolean & Comparison Operators (1 raster layer) 1 0 "dem" > 500 and "dem" < 1000

25. Finding elevations between 20 and 500m where slope is less than 30 degrees Finding elevations between 20 and 500m where slope is less than 30 degrees Combining Boolean & Comparison Operators (2 raster layers) "DEM" > 20 and "DEM" < 500 and "slope" < 30 1 0

26. Elevation Slope Aspect Viewshed Hillshade

27. Deriving terrain variables (e.g., slope, aspect) from a DEM

29. The direction (in compass angles) that a cell’s slope faces. Determines … 1) Which way water will flow 2) amount of sunlight a site may receive 3) which portion of a landscape is visible from a viewing point N

30. The viewshed for a point is the collection of areas visible from that point.