11. Multi-criteria Suitability Analysis#

11.1. Plan for the Rest of Semester#

  • Suitability analysis

  • Point pattern analysis

  • Spatial autocorrelation

  • Note: Won’t cover spatial interpolation

  • No lab 12 (focus on final project instead)

11.2. Multi-Criteria Evaluation (MCE)#

  • Evaluate a number of alternatives based on a set of criteria (factors)

  • Calculate criterion/factor scores for each alternative

    • Score standardization (e.g., 1 to 10 points)

  • Combine factors

    • Adding factor scores

    • Applying factor weights (relative importance of the factors)

  • Rank alternatives based on the combined scores

11.3. Spatial MCE (Suitability Analysis)#

  • Rank sites/locations with a set of criteria/factors

  • Alternatives:

    • Features (points, lines and polygons in the vector data model)

    • Cells (raster data model)

11.4. Siting a New School Example#

  • A small town in Vermont has experienced a substantial increase in population

  • A new school must be built to take the pressure off existing schools

  • Task: Find potential sites as a GIS analyst

11.5. Potential School Site Criteria#

  • Factor 1: Land use

    • Avoid steep slopes and wetlands

    • Preferred land use types: open land, forest, or pasture

  • Factor 2: Proximity to existing schools

    • Not too close to existing schools

  • Factor 3: Proximity to recreational facilities

    • Close to parks or existing recreational facilities

11.6. Suitability Analysis Procedure#

  1. Determine factors and constraints

  2. Derive factor maps

  3. Standardize factor scores (Reclassify)

  4. Determine factor weights

  5. Combine factors (Weighted sum)

  6. Choose the best sites

11.7. Step 1: Factors and Constraints#

  • Factors: Criteria that define the degree of suitability (e.g., distance to parks)

  • Constraints: Criteria that limit the alternatives (e.g., excluding wetlands or existing urban areas)

    • Binary: 1 (suitable) or 0 (not suitable)

11.8. Step 2: Derive Factor Maps#

  • Distance to schools (Euclidean distance global operation)

  • Distance to recreation sites (Euclidean distance global operation)

  • Slope (Focal operation from DEM)

  • Land use (Input categorical map)

11.9. Step 3: Standardize Factor Scores#

  • Factors are measured in different units (meters, degrees, categories)

  • Reclassify them into a common scale (e.g., 1 to 10)

  • High score = More suitable

  • Low score = Less suitable

11.10. Standardizing Distance to Schools#

  • Goal: Sites should be further away from existing schools

  • 0 - 1000m: 1 (least suitable)

  • 1000 - 2000m: 3

  • 2000 - 3000m: 6

  • 3000 - 4000m: 10 (most suitable)

11.11. Standardizing Land Use#

  • Forest: 10

  • Pasture: 5

  • Water: 0 (Constraint)

  • Urban: 0 (Constraint)

11.12. Step 4 & 5: Combine Factors#

  • Simple Addition (Equal weights)

    • \(Total Score = Factor1 + Factor2 + Factor3 + Factor4\)

  • Weighted Linear Combination (WLC)

    • \(Total Score = \sum (Weight_i \times Score_i)\)

    • Sum of weights must equal 1.0

11.13. Calculation Example#

  • Factors: Landuse (0.3), Recreation (0.3), School (0.2), Slope (0.2)

  • Factor scores at a cell: 10, 10, 2, 5

  • Calculation: \(0.3(10) + 0.3(10) + 0.2(2) + 0.2(5) = 7.4\)

  • Compared to simple average: \(27 / 4 = 6.75\)

11.14. Analytic Hierarchy Process (AHP)#

  • Used to determine factor weights when it is difficult to assign numbers directly

  • Organizes factors into a tree structure

  • Decomposes complex decisions into simpler comparisons

  • Derives weights by comparing the relative importance between two factors at a time

11.15. AHP Factor Weights Determination#

  • Factor relative importance through pairwise comparison using a 9-point scale:

    • 1: Equally important

    • 3: Moderately more important

    • 5: Strongly more important

    • 7: Very strongly more important

    • 9: Extremely more important

  • The best weights are calculated to fit into a pairwise comparison matrix

11.16. Summary of Suitability Analysis#

  • Suitability analysis identifies the best locations based on multiple geographical factors

  • Requires standardization of diverse data types into a unified scoring system

  • Weighted combinations allow analysts to prioritize certain factors over others

  • The final output is a suitability map where higher values indicate better alternatives