GEOG 222 Flashcards
GIS
geographic information system
spatial dependence
many events depend on their location
-eg. plant growth - slope? sun? nutrients?..
what is a map
a form of communication
what is a geographic information system
a system for -capturing -storing -checking -integrating -manipulating -analysing -displaying data which are spatially reference to Earth
spatial data
- collection of measurements taken at specific locations
- mappable
why are maps distorted
making a 3D object 2D
how do we unroll the globe to make it flat
projections
how do we manage spatial locations
coordinates
Early Earth models
- oyster (Babylonians)
- rectangular box
- circular disk
- cylindrical column
- spherical ball
- very round pear
- flat earth
Earth’s shape
oblate spheroid
- squashed 1/298th
- equatorial bulge ca. 42km
georeferencing requires
projections
coordinates
scale
Earth’s surface
Ellipsoid surface
Topographic surface
Geoid surface
ellipsoid surface
- mathematical expectation of the surface based on location
- no single ellipsoid for entire Earth
Geoid surface
mean sea level in the absence of winds, currents, tides
-based on gravitation
geodetic datum
-link between reference ellipsoid and geoid
how to start geodetic datum
- start w/ pt of known location, found using astronomical technique or GPS
- expressed in terms of lat/long
- All coordinates on Earth are referenced to a horizontal datum
geodetic datum examples
NAD 27
NAD 83
NAD 27
- North American Datum of 1927
- based on centre of US
- Clark Ellipsoid
- semi major 6,378,206.4m
- semi minor 6,356,583.8m
- flattening 1:294.97869
semi major
horizontal axis
semimajor axis
- longest diameter
- line segment that runs through the center and both foci
- ends at the widest points of the perimeter
globe
- doesnt need projection
- preserves: directions, angles, distances, angles, areas
globe disadvantages
- very small scale, little detail
- costly to reproduce/ update
- difficult to carry, store
map projection
transformation of 3D surface to 2D
- direct geometric projection OR
- mathmatically derived transformation
- easier, cheaper, more detailed
map projection problem
distortion!
map projections centred at 39N and 96W
- Mercator
- Lambert Conformal Conic
- Un-projected latitude and longitude
39N and 96W
middle of US
Kansas
Characteristics of map projections
- Class
- Case
- Aspect
Map Projections, Class
developable surface
- cylinder
- conde
- plane
cylindrical projection
- distors high latitudes
- longitudes are straight, parallel, equal spaced
- latitudes are straight but not equal as top of earth is ‘unwrapped’
example of cylindrical projection distortion
Greenland looks nearly the same size as Africa
conic projection
- wrap a cone of paper around the Earth
- longitudes: straight lines, diverging
- latitudes: circular, around poles
Planar projection
long. - straight, equally spaced, radiate from centre
lat. - centric circles, equal spacing
- ‘bicycle wheel’
Map projection characteristics, case
where and how DS intersects with RG
Map projection cases
tangent- DS touches RG along one line or point
secant- through 2 points on either side, DS passes through RG
DS
developable surface
RG
reference globe
Map projection characteristics, aspect
- position of the projection centre w.r.t. RG
- defines latitude of origin
map projection aspects
equatorial
polar
oblique
oblique aspect
between pole and equator
components that we try to preserve from distortion
- angles
- area
- distance
- direction
used for molar maps
planar projection
to preserve shapes
angles
Mercator
- preserves angles/ shapes
- wrong for area
- conformal
conformal
lat and long intersect at 90º
Albers equivelant conic
developer: Albers
preserves: area (equivalent)
projection: conic
Antarctica in Mercator
HUGE
way too big
shows that area not preserved
Antartica in Albers
long thing line across bottom
obviously wrong shape
preserves area
the “Unprojected” projection
- assumes 360º at all lats.
- y axis = lat
- x axis = longitude
- not conformal, not equal area
- nothing fully preserved
unprojected projection uses
-used more than should be, NASA for ex.
other names for the ‘unprojected’
Plate Carrée
Equirectangular
why use equrectangular projection
- simple to construct
- simple calculations
- high lats. are less distorted
- highest distortion away from from central parallel
The Fuller Projection
Dymaxion
- attempts to solve all 4 (area, angle, distance, direction)
- icosahedron (20-sided)
Dymaxxion =
DYnamic MAXimum tensION
Fuller projection advantages
- can see how all continents are connected
- minimal distortion
- easier to work with
Tissot’s Indicatrix
- measures and illustrates distortions in projections
- representation of the scale factor
Cartesian Coordinates
- based on user-defined origin
- recorded as X, Y
- suggests 1ºX = 1ºY
Graticules
network of lines representing the Earth’s parallels of latitude and meridians of longitude
longitude
λ
used in East - West measurements
UTM
Universal Transverse Mercator
- cylindrical, conformal, transverse mercator
- internationally standard coordinate system
transverse mercator
cylinder touches Earth along a meridian of longitude not the equator
UTM Zones
- 60 zones
- 6º long
- each w/ a Central Meridian
latitude
Φ
North - South measurement
UTM Zone 1
180 -174ºW
-CM: 177ºW
UTM coordinates
In NH: define equator as 0mN
- CM: false Easting of 500,000 mE
- Easting and Northings in m’s
UTM georeference
zone, 6-digit Easting, 7-digit northing
ex. 14, 468324mE, 5362789mE
FSA
-forward sortation area
-first 3 digits of postal code
First letter = province
Number = rural or urban
Third digit = more precise geographic location
each UTM is a
projection
RF
representative factor
- ratio btw distance on map and corresponding distance on ground
- 1: ground distance/map distance
verbal statement of RF
one centimetre corresponds to one kilometre
-1cm DOES NOT EQUAL 1km