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CHAPTER
11
VECTOR
DATA
ANALYSISBufferingVariations
in
BufferingBox
11.1
Riparian
Buffer
WidthApplications
of
BufferingBox
11.2
Buffer
Zones
as
Indicators
of
Positional
AccuracyOverlayFeature
Type
and
OverlayOverlayMethodsOverlay
and
Data
FormatSliversError
Propagation
in
OverlayBox
11.3
Error
Propagation
ModelsApplications
of
OverlayDistance
MeasurementBox
11.4
Distance
Measurement
for
Assessing
Positional
AccuracyPattern
AnalysisPoint
Pattern
AnalysisMoran’s
I
for
Measuring
Spatial
AutocorrelationG-Statistic
for
Measuring
High/Low
ClusteringApplications
of
Pattern
AnalysisBox
11.5
Detection
of
Drug
Hotspot211.5
Feature
ManipulationKey
Concepts
and
TermsReview
QuestionsApplications:
Vector
Data
AnalysisTask
1:
Perform
Buffering
and
OverlayTask
2:
Overlay
Multicomponent
PolygonsTask
3:
Measure
Distances
Between
Points
and
LinesTask
4:
Compute
General
and
Local
G-statisticsTask
5:
Perform
Select
and
ClipChallenge
TaskReferences3Vector
Data
AnalysisVector
data
analysis
uses
the
spatial
features
of
point,
line,and
polygon
as
inputs.The
accuracy
of
analysis
results
depends
on
the
accuracy
ofspatial
features
in
terms
of
location
and
shape.Topologycan
also
be
a
factor
for
some
vector
data
analysessuch
as
buffering
and
overlay.4BufferingBased
on
the
concept
of
proximity,
buffering
creates
twoareas:
one
area
that
is
within
a
specified
distance
of
selectfeatures
and
the
other
area
that
is
beyond.The
area
that
is
within
the
specified
distance
is
called
thebuffer
zone.Buffering
around
points
creates
circular
buffer
zones.Buffering
around
lines
creates
a
series
of
elongated
bufferzones
around
each
line
segment.
And
buffering
aroundpolygons
creates
buffer
zones
that
extend
outward
from
thepolygon
boundaries.Figure
11.1Buffering
around
points,lines,andpolygons.56Variations
in
BufferingThe
buffer
distance
can
vary
according
to
the
values
of
agiven
field.Buffering
around
line
features
can
be
on
either
the
left
sideor
the
right
side
of
the
line
feature.Buffer
zone
boundaries
may
remain
intact
so
that
eachbuffer
zone
is
a
separate
polygon.Figure
11.2Buffering
with
differentbuffer
distances.7Figure
11.3Buffering
with
four
rings.8Figure
11.4Buffer
zones
not
dissolved
(top)or
dissolved
(bottom).910OverlayAn
overlay
operation
combines
the
geometries
and
attributesof
two
or
more
feature
layers
to
create
the
output.The
geometry
of
the
output
represents
the
geometricintersection
of
features
from
the
input
layers.Each
feature
on
the
output
contains
a
combination
ofattributes
from
the
input
layers,
and
this
combination
differs
fromits
neighbors.Figure
11.5Overlay
combines
geometries
and
attributes
from
two
layers
into
asingle
layer.
The
dashed
lines
are
not
included
in
the
output.1112Feature
Type
and
OverlayOverlay
operations
can
be
classified
by
feature
type
intopoint-in-polygon,
line-in-polygon,
and
polygon-on-polygon.Figure
11.6Point-in-polygon
overlay.
The
input
is
a
point
layer
(thedashed
lines
are
for
illustration
onlyandare
not
part
of
thepoint
layer).
The
output
is
also
a
point
layer
but
has
attributedatafrom
the
polygon
layer.13Figure
11.7Line-in-polygon
overlay.
The
input
is
a
line
layer
(the
dashedlines
are
for
illustration
onlyandare
not
part
of
the
line
layer).The
output
is
also
a
line
layer.Butthe
output
differs
from
theinput
in
two
aspects:
the
line
is
broken
into
two
segments,
andthe
line
segments
have
attribute
datafrom
the
polygon
layer.14Figure
11.8Polygon-on-polygon
overlay.
In
the
illustration,
the
twolayers
for
overlay
have
the
same
area
extent.
The
outputcombines
the
geometry
andattribute
data
fromthe
twolayers
into
a
single
polygon
layer.1516Overlay
MethodsAll
overlay
methods
are
based
on
the
Booleanconnectors
of
AND,
OR,
and
XOR.An
overlay
operation
is
called
Intersect
if
it
uses
the
ANDconnector.An
overlay
operation
is
called
Union
if
it
uses
the
ORconnector.An
overlay
operation
that
uses
the
XOR
connector
iscalled
Symmetrical
Difference
or
Difference.An
overlay
operation
is
called
Identity
or
Minus
if
it
usesthe
following
expression:
[(input
layer)
AND
(identity
layer)]OR
(input
layer).Figure
11.9The
Union
method
keepsall
areas
of
the
two
input
layersin
the
output.17Figure
11.10The
Intersect
method
preserves
only
the
area
common
to
the
twoinput
layers
in
the
output.18Figure
11.11The
Symmetric
Difference
method
preserves
only
the
areacommon
to
only
one
of
the
input
layers
in
the
output.19Figure
11.12The
Identity
method
produces
an
output
that
has
the
same
extent
asthe
input
layer.But
the
output
includes
the
geometry
andattributedata
fromthe
identity
layer.2021SliversA
common
error
from
overlaying
polygon
layers
isslivers,
very
small
polygons
along
correlated
or
sharedboundary
lines
of
the
input
layers.To
remove
slivers,
ArcGIS
uses
the
cluster
tolerance,which
forces
points
and
lines
tobesnapped
together
ifthey
fall
within
the
specified
distance.Figure
11.13The
top
boundary
has
a
series
of
slivers
(shaded
areas).These
slivers
areformedbetween
the
coastlines
from
the
inputlayers
in
overlay.22Figure
11.14A
cluster
tolerance
can
removemany
slivers
along
the
topboundary
(A)
but
can
also
snaplines
that
are
not
slivers
(B).2324Error
Propagation
in
OverlayError
propagation
results
from
inaccuracies
of
the
inputlayers.Slivers
are
examples
of
errors
in
the
inputs
thatcanpropagate
to
the
analysis
output.25Areal
InterpolationOne
common
application
of
overlay
is
to
help
solve
the
arealinterpolation
problem.
Areal
interpolation
involves
transferringknown
datafromone
set
of
polygons
(source
polygons)
toanother
(target
polygons).Figure
11.15An
example
of
areal
interpolation.
Thick
lines
represent
census
tracts
andthin
lines
school
districts.
Census
tract
A
has
a
known
population
of
4000and
B
has
2000.
The
overlay
result
shows
that
the
areal
proportion
ofcensus
tract
A
in
school
district
1
is
1/8andthe
areal
proportion
of
censustract
B,
1/2.
Therefore,
the
population
in
school
district
1
can
be
estimatebe
1500,
or
[(4000
x
1/8)
+
(2000
x
1/2)].2627Distance
MeasurementDistance
measurement
refers
to
measuring
straight-line(Euclidean)
distances
between
features.
Measurements
canbe
madefrompoints
in
a
layer
to
points
in
another
layer,
orfrom
each
point
in
a
layer
to
its
nearest
point
or
line
inanother
layer.28Pattern
AnalysisPattern
analysis
is
the
study
of
the
spatial
arrangement
ofpoint
features
in
two-dimensional
space.At
the
general
level,
a
pattern
analysis
can
reveal
if
adistribution
pattern
is
random,
dispersed,
or
clustered.At
the
local
level,
a
pattern
analysis
can
detect
if
adistribution
pattern
contains
local
clusters
of
high
or
lowvalues.Pattern
analysis
includes
point
pattern
analysis,
Moran’s
Ifor
measuring
spatial
autocorrelation,
and
G-statistic
formeasuring
high/low
clustering.29Point
Pattern
AnalysisNearest
neighbor
analysis
uses
the
distance
betweeneachpointand
its
closest
neighboring
point
in
a
layer
to
determineif
the
point
pattern
is
random,
regular,
or
clustered.Ripley’s
K-Function
can
identify
clustering
or
dispersionover
a
range
of
distances,
thus
setting
it
apart
from
nearestneighbor
analysis.Figure
11.16A
point
pattern
showingdeer
locations.30Figure
11.17The
computed
L(d)and
the
lowerand
upper
simulationenvelopes.3132Figure
11.18A
point
pattern
showingdeer
locations
and
thenumber
of
sightings
ateach
location.33Figure
11.19Percent
Latino
populationby
block
group
in
AdaCounty,
Idaho.
Boise
islocated
in
the
upper
centerof
the
map
with
smallsized
block
groups.34Figure
11.20Z
scores
for
the
LocalIndicators
of
SpatialAssociation
(LISA)
byblock
group
in
AdaCounty,
Idaho.35Figure
11.2136Z
scores
for
the
local
G-statistics
by
block
groupin
Ada
County,
Idaho.37Feature
ManipulationTools
are
available
in
a
GIS
package
for
manipulatingand
managing
features
in
one
or
more
feature
layers.Thesetools
include
Dissolve,
Clip,
Append,
Select,Eliminate,
Update,
Erase,
and
Split.Figure
11.22Dissolve
removes
boundaries
of
polygons
that
have
thesame
attribute
value
in
(a)
and
creates
a
simplified
layer
(b).38Figure
11.23Clip
creates
an
output
that
contains
only
those
features
of
the
inputlayer
that
fall
within
the
a
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