geometric measures

List reasons why the area of a polygon calculated in a GIS might not be the same as the real world object it describes
Demonstrate how the area of a region calculated from a raster data set will vary by resolution and orientation
Outline an algorithm to find the area of a polygon using the coordinates of its vertices
Explain how variations in the calculation of area may have real world implications, such as calculating density
Delineate regions using properties, spatial relationships, and geospatial technologies
Exemplify regions found at different scales
Explain the relationship between regions and categories
Identify the kinds of phenomena commonly found at the boundaries of regions
Explain why general-purpose regions rarely exist
Differentiate among different types of regions, including functional, cultural, physical, administrative, and others
Compare and contrast the opportunities and pitfalls of using regions to aggregate geographic information (e.g., census data)
Use established analysis methods that are based on the concept of region (e.g., landscape ecology)
Explain the nature of the Modifiable Areal Unit Problem (MAUP)

List different ways connectivity can be determined in a raster and in a polygon dataset
Explain the nine-intersection model for spatial relationships
Demonstrate how adjacency and connectivity can be recorded in matrices
Calculate various measures of adjacency in a polygon dataset
Create a matrix describing the pattern of adjacency in a set of planar enforced polygons
Describe real world applications where adjacency and connectivity are a critical component of analysis

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