Scale

The Concept of Scale

  • Scale is the size or extent of something
  • The temporal scale is the length of time
  • The spatial scale si the physical size or extent

Spatial Scale

1. Cartographic Scale

  • The ratio of the distance on the map to the distance in the physical world
  • Three types of Cartographic Scale:
  • WordS describe UNITS of distance on map compare to UNIT of distance in physical world
  • Rarely used outside printed paper maps
  • Scale bar visually equates a map distance (No UNITS) to a distance in the physical world (WITH UNITS)
  • Still works if you enlarge a static map (a paper map or an image of a map)
  • Ratio of map distance (NO UNITS) to physical distance (NO UNITS)

In cartographic scale:

  • Small scale is ZOOMED OUT; large,global, or extensive
  • Large scale is ZOOMED IN; detailed and localized

2. True Cartographic Scale

  • True cartographic scale means that scale on the generating ellipsoid and the developable surface are equal
  • True cartographic scale is only found on the standard line(s) - the line(s) of contact with the developable surface OR emanating out from the point of contact
  • True cartographic scale is what is shown on a map (either through verbal scale, scale bar, or representative fraction). This is called the Principal Scale

3. Principal Scale vs. Actual Scale

  • Due to the distortion from the distance from the 3D to 2D projection process, the ratio of between distances on the ellipsoid and map become skewed away from the point/line(s) of contact:

Look at this example: At the Equator, the principle scale is equal to actual scale. But with the increment of altitude, the scale becomes large due to ellipsoid.



4. Scale Factor

  • The Scale Factor is the ratio of scale on the map (Actual scale) to scale on the ellipsoid (Principle Scale)

SF=ActualScalePrincipalScaleSF = \frac{Actual\,Scale}{Principal\,Scale}

4. Scale In traditional Studies

  • Traditionally, scale was the backdrop or setting of geographic studies, but not analyzed as a factor in social spatial relationships or as an object of study in its own right
  • Traditionally recognized scales:
    • Global
    • National
    • Regional
    • Local

5. Modern Conception of Scale

  • Scales are not fixed but are socially contingent
  • The structure of scales is political and subject to change: the “politics of scale”
  • Key players in scalar politics: state, capital, other groups
  • The scale just above may not be the best way to effect change: “jumping scale”
  • Scalar configurations have material consequences

6. Scale of Analysis

  • The spatial unit of analysis, such as county, city council district, census tract, census block, neighborhood, or other governmental districts; or grid size

7. Scale of Analysis vs. Study Area

  • The study area is the extent/boundary of your study; the analysis scale is the units into which that area is broken up for the purposes of your study