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Spatial Analysis Handout
On course web site
Overlays (union, intersect, identity)
Buffering
Map Algebra
Clipping and Masking
Recoding
Many others!
“Spatial Madness” Article!
Spatial analysis of NCAA basketball tournament
Web Site of the Week
Spatial Analysis
Longley et al.
Ch. 14 up to 14.3.2, Ch. 6
Spatial Analysis
answer questions, support
decisions, and reveal patterns
• all of the transformations, manipulations,
and methods
• Data ----> Information ---> Understanding
• "a set of methods whose results change
when the locations of the objects being
analyzed change"
Which is Spatial Analysis?
calculating the average income for
a group of people?
calculating the center of the United
States population?
Types of Spatial Analysis
Queries and reasoning
Measurements
Aspects of geographic data, length, area, etc.
Transformations
New data, raster to vector, geometric rules
Descriptive summaries
Essence of data in 1 or 2 parameters
Optimization - ideal locations, routes
Hypothesis testing - sample to entire pop.
GIS Analysis Model (flowchart)
Residential areas in flood zone
BUT
need spatial analysis to pinpoint locations
GIS Lanslide Susceptibility Model in
ArcGIS Model Builder
2 Analysis Examples from ArcGIS
Interpolation - soil samples on a farm
[transformation]
Location Analysis - coffee shops &
customers [optimization]
Interpolation - soil samples on a farm
Location Analysis - coffee shops & customers
"a set of methods whose results change
when the locations of the objects being
analyzed change"
Soil Samples of Farm Area w/ Interpolation
Interpolate samples, then query to find pH > 7
Farmer needs to treat these areas w/ammonium sulfate
GIS Analysis Model
Choose Interpolation Parameters
IDW Interpolation
Instead of hillshade, use raster calculator
[pH surface] > 7
pH surface
Result: areas that farmer should treat w/ammonium
sulfate to lower the pH to 7 so that soil is balanced
The Farm
Size = ~5.35 acres (233,046 sq ft. or
21,650 sq m)
Combined size of new treatment areas =
~0.145 acres (6,338 sq ft or 588 sq m)
Ammonium sulfate @ $50.00 per acre
Treat whole field - $267.50
Treat only where needed - $7.25
Crop yield and treatment maps over time
Interpolation - soil samples on a farm
Location Analysis - coffee shops & customers
"a set of methods whose results change
when the locations of the objects being
analyzed change"
Best location for new Beanery w/ location
analysis ( distance & proxmity )
Marketing
questions
Too close to existing shops?
Similar characteristics to existing locations?
Where are the competitors?
Where are the customers?
Where are the customers that are spending the
most money?
Shops w/in 1 mile will compete for customers
Potential shops > 1 mile away
GIS Analysis Model
Straight line distance function
Result: yellow/orange = close to shops
purple/blue = farther away
Density Function, Customer Spending
Spending
Result: Dark blues are greatest
density of customer spending
Find areas 1 mile from an existing shop that are
also in a high spending density customer area
([Distance to Shops] > 5280) &
([Spending density] > .02)
Spending density
Result: Best locations for a new Beanery
w/ proximity to an interstate highway, zoning concerns, income levels, population density, age, etc.
GIS Analysis Model
Visualization & Spatial Analysis:
An Example from The District
http://dusk.geo.orst.edu/gis/district.html
More…
Hot Spot Analysis:
Part 1- http://bit.ly/9xIJBN
Part 2- http://bit.ly/aRmN2m
Part 3- http://bit.ly/bDs9Uj
Uncertainty in the Conception, Measurement, and
Representation of Geographic Phenomena
Previous examples assumed it didn’t
exist
Conception of Geographic Phenomena
Spatial Uncertainty - objects do NOT
have a discrete, well-defined extent
Wetlands or soil boundary?
Oil spill? pollutants or damage?
Attributes - human interp. may differ
Uncertainty in Conception
Vagueness - criteria to define an object
not clear
What constitutes a wetland?
An oak woodland means how many oaks?
Seafloor ages/habitats
What does a grade of “A” really mean??
Uncertainty in Conception
Ambiguity - y used for x
when x is missing
Direct indicators: salinity
(x) or species (y)
Indirect more ambiguous
Wetlands (y) of species
diversity (x)??
Figure courtesy of Jay Austin, Ctr. For Coastal Physical Oceanography, Old Dominion U.
Uncertainty in Conception
Regionalization
problems
What combination of
characteristics defines a
zone?
Weighting for
composites?
Size threshold for zone?
Fuzzy vs. sharp
Uncertainty in Measurement
Physical measurement error
Mt. Everest is 8,850 +/- 5 m
Dynamic earth makes stable measurements
difficult
Seismic motion
Wobbling of Earth’s axis
Wind and waves at sea!
Uncertainty in Measurement
Digitizing error, e.g.,
Undershoots
Overshoots
“Gafs”
Uncertainty in Measurement
Misalignment of data
digitized from
different maps
Rubbersheeting is a
corrective technique
Uncertainty in Measurement
Different lineages of
data
Sample vs. population
Uncertainty in Representation
Raster Data Structure
mixels Classification based on
dominance, centrality?
Uncertainty in Representation
Vector Data Structure
Points in corners
of polys
Zones based on only
a few points
(A)Before it closed down,
the footwear factory
drew its labor from its
local neighborhood and
a jurisdiction to the west
Uncertainty in Analysis: The Ecological Fallacy
(B) The closure
caused high
unemployment, but not
among the service
sector workers of
Chinatown
(C) a spurious
relationship
between Chinese
ethnicity and
unemployment
Uncertainty in
Analysis
Ecological Fallacy
an overall characteristic of
a zone is also a
characteristic of any
location or individual
within the zone
Factory w/no Chinese employees may
have closed
Path of boundary changes where high pop. is
Modifiable Areal Unit Problem (MAUP)
number, sizes, and shapes of zones affect the results of
analysis
Many ways to combine small zones into big ones
No objective criteria for choosing one over another
Uncertainty of
Geographic Phenomena
Conception - spatial, vagueness,
ambiguity, regionalization
Measurement - field, digitizing, lineage
Representation - raster, vector
Analysis - ecological fallacy, MAUP
spatial analysis

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spatial analysis

  • 1. Spatial Analysis Handout On course web site Overlays (union, intersect, identity) Buffering Map Algebra Clipping and Masking Recoding Many others! “Spatial Madness” Article! Spatial analysis of NCAA basketball tournament Web Site of the Week
  • 2. Spatial Analysis Longley et al. Ch. 14 up to 14.3.2, Ch. 6
  • 3. Spatial Analysis answer questions, support decisions, and reveal patterns • all of the transformations, manipulations, and methods • Data ----> Information ---> Understanding • "a set of methods whose results change when the locations of the objects being analyzed change"
  • 4. Which is Spatial Analysis? calculating the average income for a group of people? calculating the center of the United States population?
  • 5. Types of Spatial Analysis Queries and reasoning Measurements Aspects of geographic data, length, area, etc. Transformations New data, raster to vector, geometric rules Descriptive summaries Essence of data in 1 or 2 parameters Optimization - ideal locations, routes Hypothesis testing - sample to entire pop.
  • 6. GIS Analysis Model (flowchart) Residential areas in flood zone BUT need spatial analysis to pinpoint locations
  • 7. GIS Lanslide Susceptibility Model in ArcGIS Model Builder
  • 8. 2 Analysis Examples from ArcGIS Interpolation - soil samples on a farm [transformation] Location Analysis - coffee shops & customers [optimization]
  • 9. Interpolation - soil samples on a farm Location Analysis - coffee shops & customers "a set of methods whose results change when the locations of the objects being analyzed change"
  • 10. Soil Samples of Farm Area w/ Interpolation
  • 11. Interpolate samples, then query to find pH > 7 Farmer needs to treat these areas w/ammonium sulfate GIS Analysis Model
  • 14. Instead of hillshade, use raster calculator [pH surface] > 7 pH surface
  • 15. Result: areas that farmer should treat w/ammonium sulfate to lower the pH to 7 so that soil is balanced
  • 16. The Farm Size = ~5.35 acres (233,046 sq ft. or 21,650 sq m) Combined size of new treatment areas = ~0.145 acres (6,338 sq ft or 588 sq m) Ammonium sulfate @ $50.00 per acre Treat whole field - $267.50 Treat only where needed - $7.25 Crop yield and treatment maps over time
  • 17. Interpolation - soil samples on a farm Location Analysis - coffee shops & customers "a set of methods whose results change when the locations of the objects being analyzed change"
  • 18. Best location for new Beanery w/ location analysis ( distance & proxmity )
  • 19. Marketing questions Too close to existing shops? Similar characteristics to existing locations? Where are the competitors? Where are the customers? Where are the customers that are spending the most money?
  • 20. Shops w/in 1 mile will compete for customers Potential shops > 1 mile away GIS Analysis Model
  • 22. Result: yellow/orange = close to shops purple/blue = farther away
  • 23. Density Function, Customer Spending Spending
  • 24. Result: Dark blues are greatest density of customer spending
  • 25. Find areas 1 mile from an existing shop that are also in a high spending density customer area ([Distance to Shops] > 5280) & ([Spending density] > .02) Spending density
  • 26. Result: Best locations for a new Beanery w/ proximity to an interstate highway, zoning concerns, income levels, population density, age, etc.
  • 28. Visualization & Spatial Analysis: An Example from The District http://dusk.geo.orst.edu/gis/district.html More… Hot Spot Analysis: Part 1- http://bit.ly/9xIJBN Part 2- http://bit.ly/aRmN2m Part 3- http://bit.ly/bDs9Uj
  • 29. Uncertainty in the Conception, Measurement, and Representation of Geographic Phenomena Previous examples assumed it didn’t exist Conception of Geographic Phenomena Spatial Uncertainty - objects do NOT have a discrete, well-defined extent Wetlands or soil boundary? Oil spill? pollutants or damage? Attributes - human interp. may differ
  • 30. Uncertainty in Conception Vagueness - criteria to define an object not clear What constitutes a wetland? An oak woodland means how many oaks? Seafloor ages/habitats What does a grade of “A” really mean??
  • 31. Uncertainty in Conception Ambiguity - y used for x when x is missing Direct indicators: salinity (x) or species (y) Indirect more ambiguous Wetlands (y) of species diversity (x)?? Figure courtesy of Jay Austin, Ctr. For Coastal Physical Oceanography, Old Dominion U.
  • 32. Uncertainty in Conception Regionalization problems What combination of characteristics defines a zone? Weighting for composites? Size threshold for zone? Fuzzy vs. sharp
  • 33. Uncertainty in Measurement Physical measurement error Mt. Everest is 8,850 +/- 5 m Dynamic earth makes stable measurements difficult Seismic motion Wobbling of Earth’s axis Wind and waves at sea!
  • 34. Uncertainty in Measurement Digitizing error, e.g., Undershoots Overshoots “Gafs”
  • 35. Uncertainty in Measurement Misalignment of data digitized from different maps Rubbersheeting is a corrective technique
  • 36. Uncertainty in Measurement Different lineages of data Sample vs. population
  • 37. Uncertainty in Representation Raster Data Structure mixels Classification based on dominance, centrality?
  • 38. Uncertainty in Representation Vector Data Structure Points in corners of polys Zones based on only a few points
  • 39. (A)Before it closed down, the footwear factory drew its labor from its local neighborhood and a jurisdiction to the west Uncertainty in Analysis: The Ecological Fallacy (B) The closure caused high unemployment, but not among the service sector workers of Chinatown (C) a spurious relationship between Chinese ethnicity and unemployment
  • 40. Uncertainty in Analysis Ecological Fallacy an overall characteristic of a zone is also a characteristic of any location or individual within the zone Factory w/no Chinese employees may have closed
  • 41. Path of boundary changes where high pop. is Modifiable Areal Unit Problem (MAUP) number, sizes, and shapes of zones affect the results of analysis Many ways to combine small zones into big ones No objective criteria for choosing one over another
  • 42. Uncertainty of Geographic Phenomena Conception - spatial, vagueness, ambiguity, regionalization Measurement - field, digitizing, lineage Representation - raster, vector Analysis - ecological fallacy, MAUP