introduction to geographic information systems fall 2013 (inf 385t-28620) spatial reference systems,...
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Introduction to Geographic Information Systems Fall 2013 (INF 385T-28620)
Spatial Reference Systems, Data Sources Dr. David Arctur
Research Fellow, Adjunct FacultyUniversity of Texas at Austin
Lecture 5September 19, 2013
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Outline
Models of the Earth Map coordinates Map projections US Census geographic files US Census data files Geospatial data sources
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Models of the Earth’s shape
Sphere with radius of ~6378 km Ellipsoid (or Spheroid) with equatorial
radius (semimajor axis) of ~6378 km and polar radius (semiminor axis) of ~6357 km Difference of ~21km usually expressed as
“flattening” (f) ratio of the ellipsoid: f = difference / major axis = ~ 1/300 for
Earth and “inverse flattening” would be ~300
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Ellipsoid dimensions and flattening
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Ellipsoid = Spheroid in GIS…
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Ellipsoid vs Geoid vs Datum
The Geoid is approximately where sea level would be throughout the world (measured by plumb bob away from coastal areas)
Due to variations in the Earth’s gravity field, this “global sea level” would not fit any one ellipsoid, as evident in figure
Datum = shape of ellipsoid AND location of origin for axis of rotation relative to Earth center of massINF385T(28620) – Fall 2013 – Lecture 5
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Horizontal Control Datums
Commons North American Datums NAD27 (1927 North American Datum)
Clarke (1866) ellipsoid, non-geocentric (local origin) for axis of rotation
NAD83 (1983 North American Datum) GRS80 ellipsoid, geocentric origin for axis of
rotation WGS84 (1984 World Geodetic System)
WGS84 ellipsoid, geocentric, nearly identical to NAD83
Other datums are also in use globally
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Datum shifts
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Datum transformations Theoretical method: use equations
relating Lat/Lon in one datum to another
Empirical method: use grid of differences to convert values directly from one datum to another
See Esri digital book on Map Projections for more information
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MAP PROJECTIONSHow do we get from 3D Earth to 2D maps???
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Map projections Way to represent the curved surface of
the earth on the flat surface of a map
Hundreds of map projections Each map projection has advantages
and disadvantages: Depends on the scale of the map Depends on map’s purpose Different projections good for small areas,
areas with a large east–west extent, or areas with a large north–south extent
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Picking a projection …[or: how big do you like Greenland?]
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Map projectionsFlatten half of a rubber ball?
No. Instead, features are projected onto one of three “developable” surfaces.
http://www.nationalatlas.gov/articles/mapping/a_projections.html#two
Conic: a map projection where the earth’s surface is projected onto a tangent or secant cone, which is then cut from apex to base and laid flat
Cylindrical: a map projection where the earth’s surface is projected onto a tangent or secant cylinder, which is then cut lengthwise and laid flat
Planar: a map projection resulting from the conceptual projection of the earth onto a tangent or secant plane
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Most-used methods
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Conformal projection Cylindrical projection
Parallels and meridians at right angles
Angles and shapes of small objects preserved (at every point, east–west scale same as north–south scale)
The size/shape/area of large objects distorted (scale approaches infinity at the poles)
Seldom used for world maps
Example: Mercator projection (1569) used for nautical purposes (constant courses are straight lines)
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Equivalent projection Conic projection
Preserves accurate area Scale and shape are not
preserved
Example: Albers Equal Area standard projection for US Geological Survey, US Census Bureau
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Compromise projections Neither equivalent
nor conformal Meridians curve
gently, avoiding extremes.
Doesn’t preserve properties, but “looks right”
Example:Robinson projection (1961)
• good compromise projection for viewing entire world
• used by Rand McNally and the National Geographic Society
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And the ever-popular…
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Bovine projection(s)
Spilled Coffee
Projection
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Small-scale maps Comparing shapes, areas, distances, or directions of
map features Natural appearance desired
New YorkNew York
Los Angeles
When projection is important
Los Angeles
Projection: MercatorDistance: 3,124.67 miles
Projection: Albers Equal AreaDistance: 2,455.03 miles
Actual distance: 2,451 miles
Los Angeles
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When projection is not important
Many business, policy, and management applications
On large-scale maps Error is negligible
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MAP COORDINATESNow here, know where, or nowhere?
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Latitude and longitude° longitude (prime meridian)0
° latitude (equator)
0
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Latitude and longitude
Pittsburgh, PA USA
-80
40
Coordinates
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Lat/Long coordinates
Degrees, minutes, and seconds (DMS) 40° 26′ 2″ N latitude -80° 0′ 58″ W longitude
Decimal degrees (DD) 1 degree = 60 minutes 1 minute = 60 seconds
40° 26′ 2″ = 40 + (26 / 60) + (2 / 3600) = 40 + .43333 + .00055 = 40.434°
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Lat/long coordinates
Translated to distance World circumference through the poles is
24,859.82 mi, so for latitude: 1° = 24,859.82 / 360 = 69.1 mi 1′ = 24,859.82 / (360 * 60) = 1.15 mi 1″ = 24,859.82 * 5,280 / (360 * 3,600) =
101 ft
Length of the equator is 24,901.55 mi
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GCS example (census tracts)
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Rectangular coordinates
UTM (universal transverse Mercator)
US military
State plane
Local US governments
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UTM coordinates example
Developed by US Army Corps of Engineers (1940s)
Covers world, 80°S to 80°N
Metric coordinates 60 tuned
transverse Mercator projections for longitude zones, 6° wide
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State plane coordinates Established by the
US Coast and Geodetic Survey in the 1930s
All positive coordinates in feet or meters
Used by local US governments Originally North American Datum (NAD
1927) More recently NAD 1983 and 1983
HARN (High Accuracy Reference Network)
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State plane zones 125 zones
At least one for each state Cannot join zones to make larger regions Follow state and county boundaries
Each zone has its own tuned projection Lambert conformal projection for zones with
eastwest orientation Transverse Mercator projection for zones with
northsouth orientation
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State plane zones
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State plane coordinates example
State plane NAD 1983, Pennsylvania South, Feet
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X,Y coordinate tips Always assign coordinates according to the
agencyUS CensusGeographic coordinate system (GCS)
City of PittsburghState plane coordinate system
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X,Y coordinate examples
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US CensusGeographic coordinates (GCS)Block groups
City of PittsburghState plane coordinatesSidewalks
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Map document tip The first layer added in ArcMap sets
the x,y coordinate system for the data frame
Additional layers will overlay properly as long as the correct coordinate system is assigned to feature class For example, GCS to US Census files,
state plane to local government files Known as .prj files
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Map document tip Example: Sidewalks added first (state plane), but block
groups match even though they are in geographic coordinate system (GCS) projection.
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US CENSUS GEOGRAPHIC FILES
Lecture 5
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Census TIGER/Line files
http://www.census.gov/geo/www/tiger/ Topologically Integrated
Geographic Encoding and Referencing files
US Census Bureau product for digital mapping of the United States
TIGER maps available for the entire United States and its possessions, including roads and streets, railroads, rivers, lakes, political boundaries, and census statistical boundaries
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Example census geographies
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TIGER census tracts Between 1,000 and 8,000 people (in
general) 1,700 housing units or 4,000 people Homogeneous population
characteristics (economic status and living conditions)
Normally follow visible features May follow governmental unit
boundaries and other invisible features
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State tracts (2010)
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County tracts (2000 and 2010)
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City tracts (2000 and 2010)
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City block groups (2000 and 2010) Subdivisions of a census tract 400 housing units, with a min. of 250 and a max. of
550 Follow clearly visible features (roads, rivers, and
railroads)
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Census blocks Smallest geographic areas for which the Census
Bureau collects and tabulates decennial census information
Block boundaries visible (street, road, stream, shoreline, etc.) or invisible (county line, city limit, property line, etc.)
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US CENSUS DATA FILESLecture 5
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Decennial census data Years 2000 and 2010
Summary File 1 (SF 1) Short form, entire population Population Age Sex Race Families Households Housing units
Tracts, block groups, blocks
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Decennial census data Year 2000 Summary File 3 (SF 3)
Long form, 1 in 6 households, random Income, poverty Educational attainment Citizenship Employment, workplace, disability Transportation, travel time to work Detailed housing attributes, housing value, residency
five years previous Languages spoken, ancestry
Tracts, block groups, NOT blocks
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American Community Survey (ACS) Replaces long-form questionnaire and
SF3 data Randomly selects about 3 million
addresses each year to participate Has rolling, 1-, 3-, and 5-year
estimates and 90% confidence intervals Add and subtract Margin of Error (MOE)
to/from Estimate to get the confidence interval
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ACS Data Age Sex Race Family and relationships Income and benefits Health insurance Education Veteran status Disabilities Where you work and how you get there Where you live and how much you pay for
certain essentials51
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ACS 1-year estimates Most current Data with populations 65,000+ Smallest sample size Less reliable than 3–5 year Best used when currency is more
important than precision, or when analyzing large populations
Not available for tracts or block groups
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ACS 3-year estimates Data with populations 20,000+ Larger sample size than 1-year More reliable than 1-year but less
reliable than 5-year Best used when analyzing smaller
populations or geographies not available for 1-year estimates
Not available for tracts or block groups
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ACS 5-year estimates Data for all areas (tracts and block
groups) Largest sample size Most reliable but least current Best used when analyzing small
populations, or when precision is more important than currency
2005–2009, 2006–2010, etc. Note: 2006–2010 only available for county, city,
town, place, American Indian Area, Alaska Native Area, Hawaiian Home Land, and tracts. Block group estimates are available only in the ACS Summary File. 54
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Downloading block group data http://www.census.gov/acs/www/data_documentation/summa
ry_file/
Find the tables of interest and their sequence number in the "Sequenced Number and Table Number" spreadsheet (http://www2.census.gov/ acs2010_5yr/summaryfile/)
Download the sequences that contain those tables
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Other census data
Economic census
Population estimates
Annual economic surveys
DataFerret
http://dataferrett.census.gov/
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GEOSPATIAL DATA SOURCESLecture 5
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Spatial data infrastructure Federal Geographic Data Committee
(FGDC) This nationwide data publishing effort
known as National Spatial Data Infrastructure (NSDI).
Established by presidential order Responsible for standards, policies, web
portals FGDC activities are administered through
the FGDC Secretariat, hosted by the US Geological Survey
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Spatial data packaging Metadata
Documentation enabling intelligent use and interpretation
Data contents Provided by geographic area (political, statistical,
tile) or seamlessly (with extraction by area) Quality of geographic features
Vector maps are generalized for small-scale maps Raster maps vary by pixel size (30m to a few inches)
and color depth 8 bits to 24 bits per pixel Coordinate system File format Download or web service
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Classification of map layers
Earth as a system Living things are on, under, or above the Earth’s surface They depend on the Earth and its environment for life and
well-being They are organized in political, social, territorial, and other
arrangements
Map layers Physical features:
Earth’s surface and subsurface
Environmental features: atmosphere, climate, and weather
Living thing populations: people, animals, plants, and microbes
Organizational features: political, legal, administrative, and ecosystem
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National Map orthoimagery http://
nationalmap.gov/viewer.html Replacing the digital
orthophoto quadrangles High-resolution, seamless
images in UTM coordinates
Rectified to remove distortions
1m resolution with 0.5 m or 1 ft in urban areas, natural color
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http://ned.usgs.gov/ Replaces the digital
elevation model (DEM)
Seamless raster map with 30m resolution for nation and 10m or better in some areas
Hillshade NED map for Rockville, MD
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National Elevation Data (NED)
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http://nationalmap.gov/viewer.html/ Natural and man-made
surface features Collected from satellites in
1992, 2001, and 2006
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Land cover
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http://nhd.usgs.gov/ Water bodies, lines,
and points Identifies segments
(reaches) with network coding (flow and direction)
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National Hydrography Dataset
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USGS national water datasets http://
waterdata.usgs.gov/nwis/rt Streamflow conditions 5,000 stream gages with
telemetry transmits depth Program estimates flow rate
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Example geospatial sources Government websites (examples)
http://data.gov/ http://www.geoplatform.gov/home/ http://nationalatlas.gov/ http://nces.ed.gov/ccd/ - National Center
for Education Statistics Universities State clearinghouses Local GIS departments Libraries
For example, online business databases
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Example geospatial sources Commercial resources
(Esri, Google, engineering companies, etc.) Historic GIS websites
http://www.nhgis.org/ http://
www.aag.org/cs/projects_and_programs/historical_gis_clearinghouse
http://peoplemaps.esri.com/pittviewer/
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Summary
Models of the Earth Map coordinates Map projections US Census geographic files US Census data files Geospatial data sources
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