Spatial Clustering of Illegal Drug Dealers:
Swarming for Safety or Agglomeration for Profit
Dr. George F. Rengert
Department of Criminal Justice
Temple University
Philadelphia, PA. 19122 grengert@temple.edu
Temple University
Department of Criminal Justice
Where can illegal drug markets locate?
Folk wisdom: any where they want to.
Scientific knowledge: any where they want to as long as:
Safe from neighbors and detection by police.
Profits can be made.
Safest areas to sell drugs generally thought to be in socially disorganized areas.
If not socially disorganized, may experience resistance from neighbors.
Example from North Philadelphia:
Temple University
Department of Criminal Justice
Temple University
Department of Criminal Justice
But most socially disorganized areas may be least profitable areas.
Lack local demand —abandoned houses.
Drug dealing can lead to abandoned houses as more people sell than buy houses in this community.
Would you buy one of these houses located in a drug sales area of North Philadelphia?
Temple University
Department of Criminal Justice
Temple University
Department of Criminal Justice
Temple University
Department of Criminal Justice
The following is an example of housing abandonment measured by tax delinquency around a drug sales area.
Temple University
Department of Criminal Justice
Temple University
Department of Criminal Justice
Temple University
Department of Criminal Justice
Which is it, profit or social disorganization?
Critical issues concerning profits in retail operations: location, location, location.
Good locations allow:
ready access attract large numbers of customers
increase the potential sales of retail outlets.
Temple University
Department of Criminal Justice
Retail market analysts commonly use demographic variables to predict market share = Demographic
Profile.
Who is likely to purchase illegal drugs?
Young adults aged 15 to 29.
High school drop-outs.
Unemployed.
Marketing geographers have developed several strategies for determining optimal locations of retail firms.
Location-allocation model most often used.
Includes: the objective function, demand points, feasible sites, a distance matrix, and an allocation rule.
Temple University
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We use the objective function of maximizing sales volume by minimizing distance to potential customers identified by the Demographic Profile.
Data from Wilmington, Delaware.
Demand points = centroids of census tracts.
Distance matrix = distance between centroids of
. census tracts.
Allocation rule = customers assigned to the census tract that minimizes total distance traveled by potential customers for illegal drugs.
Assumption = all users in city purchase drugs at this census tract
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Department of Criminal Justice
Would have to travel the fewest person-miles if illegal drug market was located in census tract 1600.
This tract was fourth from the highest in reality.
Limitations of the simple form of location-allocation model:
Planar model = any location in city is a potential site.
Residents of expensive housing areas not likely.
Masked out areas where medium housing values above average.
Local addicts will travel any distance for drugs.
Assigned zero to distance if beyond a mile, 1 if less.
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Distance matrix is replaced with zeros and ones.
Two clusters of census tracts identified:
2200, 2300, and 1400.
602 and 601.
Surprise: not in the center of the city.
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The analysis yielded two clusters of census tracts.
The census tracts that ranked first, second and third formed the first cluster.
The census tracts that ranked fifth and sixth the second.
The preceding map portrayed this analysis.
It is not census tract 600 or 1600 that are in the center of the city.
Rather it is a group of census tracts that are in the center of a population of potential drug users.
Rather large areas.
We need specific sites for our drug market.
Requires more refined analysis possible with GIS.
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Department of Criminal Justice
What can Geographic Information Systems do for us?
Compare traditional analysis with what possible with GIS:
Traditional analysis assigns features to census space.
Census tracts.
Block groups.
Block faces.
Census boundaries are set and determine the spatial nature of the analysis.
Temple University
Department of Criminal Justice
Temple University
Department of Criminal Justice
Refined method:
Create GIS buffers about features and allocate proportion of area of tract that is within buffer.
Advantages:
Feature does not have to be in tract to impact it.
Impact is proportional to size of tract.
Disadvantages:
Assumes impact uniformly distributed across entire tract.
Proportion not site specific.
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Department of Criminal Justice
Temple University
Department of Criminal Justice
GIS method:
Create new geographies with buffers around features.
Create ‘interaction effects’ with overlays of buffers.
Advantages:
Does not assume effect is uniform over census tract.
Buffers can be sized to reflect spatial reach of a feature.
Disadvantages:
New geographies vary markedly in size.
Small slivers created that lack geographic meaning.
Zero counts overrepresented.
Temple University
Department of Criminal Justice
Temple University
Department of Criminal Justice
Drug Market Analysis of Wilmington, Delaware, GIS.
Initially start with census data at block group level.
Local Demand:
1. Percent of population age 14 to 29.
2. Unemployed males.
3. Percent of population over age 18 with less than a high school education.
4. Median Income.
5. Number of children under age 5 living in poverty.
R 2 = .467
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Identify features that attract potential drug users.
Routine activities create ‘crime generators.’
Schools, taverns, homeless shelters, etc.
Create buffers around these features to determine their areal reach if any.
Use location quotients to determine if feature associated with spatial aggregation of drug dealers.
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LQ = C
R
/ C
N
C
R
= Number of drug arrests per square mile in
GIS identified area.
C
N
= Number of drug arrests per square mile in entire city.
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Accessibility Buffers Location Quotients
400-ft Major Roads 1.49
600-ft Major Roads
800-ft Major Roads
1.30
1.20
400-ft I-95 Exits
800-ft I-95 Exits
1200-ft I-95 Exits
1600-ft I-95 Exits
2000-ft I-95 Exits
400-ft Transit Locations
600-ft Transit Locations
800-ft Transit Locations
0.59
1.10
1.41
1.76
1.65
1.66
1.13
0.98
Temple University
Department of Criminal Justice
Temple University
Department of Criminal Justice
Major Roads Buffer (mask)
Location Quotient by Year
2.50
2.00
1.50
1.00
0.50
0.00
1988 1989 1990 1991 1992 1993 1994 1995 1996 1997
Year
400 ft
600 ft
800 ft
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Department of Criminal Justice
I-
9
5
C
Lan cas ter
Pe n ns ylv ania
B ay n ar d
W ash ing ton
M a rke t
U ni on
L in co ln
4th
2nd
Ma ryla nd
B ro o m
F ra nk lin
Y
Y
J ac k so n
Y
A da m s
W as h in gt on
W es t
12th
11th
10th
K in g
W al nu t
MLK
T ra in S t a tio n
S pr u ce
C hu rc h
R o d n e y Sq u a re (Bu s )
N or th ea st
12th
C hr is tia n a
H e al d
N e w
C a st le
I 95 Buffers
Wilmington, DE W
N
S
E
1 Mi le s
Department of Criminal Justice
I 95 Exits
I 95
Major R oads
400 ft. Buffer
800 ft. Buffer
1200 ft. Buffer
1600 ft. Buffer
2000 ft. Buffer
Mask ed Area
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Department of Criminal Justice
I 95 Exits Buffer (mask)
Location Quotient by Year
2.50
2.00
1.50
1.00
0.50
0.00
1988 1989 1990 1991 1992 1993 1994 1995 1996 1997
Year
400 ft
800 ft
1200 ft
1600 ft
2000 ft
Temple University
Department of Criminal Justice
I-
9
5
C
Lan cas ter
Pe n ns ylv ania
B ay n ar d
W ash ing ton
M a rke t
U ni on
L in co ln
4th
2nd
Ma ryla nd
B ro o m
F ra nk lin
Y
Y
J ac k so n
Y m s
A da
W as h in gt on
W es t
12th
11th
10th
K in g
W al nu t
MLK
T ra in S t a tio n
S pr u ce
C hu rc h
R o d n e y Sq u a re (Bu s )
N or th ea st
12th
H e al d
N e w
C a s e
C hr is tia n a
Major Transit Location Buffers
Wilmington, DE
W
N
S
E
1 Mi le s
Department of Criminal Justice
I 95 Exits
I 95
Major R oads
Transit buff 400.shp
Transit buff 600.shp
Transit buff 800.shp
Mask ed Area
Transit Locatons Buffer (mask)
Location Quotient by Year
3.50
3.00
2.50
2.00
1.50
1.00
0.50
0.00
1988 1989 1990 1991 1992 1993 1994 1995 1996 1997
Year
400 ft
600 ft
800 ft
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Routine activity nodes.
Anchor points of daily activities.
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Opportunity Buffers
400-ft Schools
800-ft Schools
1000-ft Schools
1200-ft Schools
400-ft Taverns
800-ft Taverns
1200-ft Taverns
400-ft Liquor Stores
800-ft Liquor Stores
1200-ft Liquor Stores
400-ft Check Cashing
800-ft Check Cashing
1200-ft Check Cashing
400-ft Pawn Shop
800-ft Pawn Shop
1200-ft Pawn Shop
400-ft Police Station
800-ft Police Station
1200-ft Police Station
400-ft Court
800-ft Court
1200-ft Court
400-ft Fire Station
800-ft Fire Station
1200-ft Fire Station
400-ft Shelter
800-ft Shelter
1200-ft Shelter
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Location Quotient
1.19
1.04
0.92
0.58
2.30
1.94
1.71
2.42
1.66
1.40
3.00
2.48
2.06
0.10
1.29
1.54
1.61
1.49
1.31
0.48
0.65
0.95
0.86
0.87
1.03
2.93
3.17
2.75
School Buffer (Masked)
Location Quotient by Year
2.00
1.50
1.00
0.50
0.00
4.00
3.50
3.00
2.50
1988 1989 1990 1991 1992 1993 1994 1995 1996 1997
Year
400 ft
800 ft
1000 ft
1200 ft
Temple University
Department of Criminal Justice
Tavern Buffer (Masked)
Location Quotient by Year
2.00
1.50
1.00
0.50
0.00
4.00
3.50
3.00
2.50
1988 1989 1990 1991 1992 1993 1994 1995 1996 1997
Year
400 ft
800 ft
1200 ft
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Department of Criminal Justice
Liquor Store Buffer (Masked)
Location Quotient by Year
2.00
1.50
1.00
0.50
0.00
4.00
3.50
3.00
2.50
1988 1989 1990 1991 1992 1993 1994 1995 1996 1997
Year
400 ft
800 ft
1200 ft
Temple University
Department of Criminal Justice
Temple University
Department of Criminal Justice
Check Cashing Buffer (Masked)
Location Quotient by Year
4.50
4.00
3.50
3.00
2.50
2.00
1.50
1.00
0.50
0.00
1988 1989 1990 1991 1992 1993 1994 1995 1996 1997
Year
400 ft
800 ft
1200 ft
Temple University
Department of Criminal Justice
Pawn Shops Buffer (Masked)
Location Quotient by Year
4.00
3.50
3.00
2.50
2.00
1.50
1.00
0.50
0.00
1988 1989 1990 1991 1992 1993 1994 1995 1996 1997
Year
400 ft
800 ft
1200 ft
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Department of Criminal Justice
Police Buffer (Masked)
Location Quotient by Year
2.50
1.50
0.50
-0.50
8.50
7.50
6.50
5.50
4.50
3.50
1988 1989 1990 1991 1992 1993 1994 1995 1996 1997
Year
400 ft
800 ft
1200 ft
Temple University
Department of Criminal Justice
Fire Stations Buffer (Masked)
Location Quotient by Year
4.00
3.50
3.00
2.50
2.00
1.50
1.00
0.50
0.00
1988 1989 1990 1991 1992 1993 1994 1995 1996 1997
Year
400 ft
800 ft
1200 ft
Temple University
Department of Criminal Justice
Shelters Buffer (Masked)
Location Quotient by Year
2.50
2.00
1.50
1.00
0.50
0.00
5.00
4.50
4.00
3.50
3.00
1988 1989 1990 1991 1992 1993 1994 1995 1996 1997
Year
400 ft
800 ft
1200 ft
Temple University
Department of Criminal Justice
Crime Generators and
Criminal Attractors
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Homeless Shelters
Social Service Centers
Check Cashing Stores
Taverns
Liquor Stores
0 1 2 Miles W
Temple University
Department of Criminal Justice
S
N
E
#
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#
##
#
Wilmington, DE
Crime Generators and
Criminal Attractors
Homeless Shelters 800 feet
Social Service Centers 800 feet
Check Cashing Stores 400 feet
Taverns 400 feet
Liquor Stores 400 feet
N
0
Temple University
1 2 Miles
Department of Criminal Justice
W
S
E Wilmington, DE
Create buffers around point and line features.
Assign the buffer areas to census block groups.
Statistically analyze the importance of each variable.
Begin with drug sales figures and the plotting of each feature on a map of Wilmington, Delaware.
Temple University
Department of Criminal Justice
Temple University
Department of Criminal Justice
Two phase analysis.
Like analysis of number of children a couple chooses to have:
Choice to have children
Choice of how many children to have once decide to have them.
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Department of Criminal Justice
Factors Associated with the Establishment of a Drug
Market
Positively Associated:
Percentage of nonwhite residents.
As the percentage of nonwhite residents increases, the chance that the area will never have a drug-market arrest decreases.
The spatial lag term.
As the number of arrests in the surrounding area increases, the chance of the parcel never having a drug-sale arrest diminishes.
Negatively Associated:
I-95 exits.
Being located near to an access ramp for I-95 increases the chance that an area will not have drug-market arrests.
Rest not statistically significant
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Department of Criminal Justice
Factors associated with the size of drug markets given that a drug market exists:
Positively associated:
I-95 exits.
Female headed households with children.
Vacant homes.
Non-white residents.
Check-cashing stores.
Liquor stores.
Homeless shelters.
Spatial lag term.
Negatively associated:
Renter occupied units.
Social service programs.
Taverns.
Rest not statistically significant
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Department of Criminal Justice
Implications of the Study.
Significant difference between taverns and Liquor stores.
Place managers of tavern owners?
Negative association between rental housing and drug sales arrests.
Interaction between population density and neighborhood control?
Significance of “spatial lag term.”
Is it “Agglomeration economies? “
Is it “social networks?”
Is it a result of “spatial diffusion?”
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Department of Criminal Justice
Association between Black population and drug sales arrests.
Is it “environmental racism?
Noxious facilities are put in vulnerable neighborhoods
Is it a lack of “social efficacy.”
Do not use all the tools available including the police.
Not police “crackdowns.”
Rather, prioritize calls for service —create social efficacy.
Temple University
Department of Criminal Justice
Clearly what is needed at this point is contextual analysis to determine interaction effects.
We especially see this in the I-95 access.
Not all are bad.
But if is bad, is very bad as size of market illustrates.
We also see this in the difference between taverns and liquor stores.
Notice that the difference between location quotients is not great for taverns.
Indicates they might locate in bad areas rather than attracting drug sales.
Liquor stores have greater difference in LQ.
In order to obtain contextual variables, can use GIS to visualize:
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Department of Criminal Justice
Census Block Groups
N
0
Temple University
1 2 Miles
Department of Criminal Justice
W
S
E Wilmington, DE
Crime Generators and
Criminal Attractors
Homeless Shelters 800 feet
Social Service Centers 800 feet
Check Cashing Stores 400 feet
Taverns 400 feet
Liquor Stores 400 feet
N
0 1 2 Miles
Temple University
Department of Criminal Justice
W
S
E
Wilmington, DE
Crime Generators and
Criminal Attractors
Single Coverage combined polygons
N
0
Temple University
1 2 Miles
Department of Criminal Justice
W
S
E Wilmington, DE
Regional
Accessibility,
Crime Generators and
Criminal Attractors
Single Coverage combined polygons
N
0
Temple University
1 2 Miles
Department of Criminal Justice
W
S
E Wilmington, DE
Census Block Groups and Built Environment
N
0
Temple University
1 2 Miles
Department of Criminal Justice
W
S
E Wilmington, DE
Areas within
Buffers of:
Liquor Store or Tavern and I95 Exits and Major Roads
N
0
Temple University
1
Department of Criminal Justice
2 Miles W
S
E Wilmington, DE
Census Block Groups and Built Environment
Single Coverage
N
0
Temple University
1 2 Miles
Department of Criminal Justice
W
S
E Wilmington, DE
How do you know which interaction effects are significant?
Which should you choose?
Answer Tree analysis in SPSS-- interaction trees.
Can force first split.
Drug Sales Arrests
Low income High income
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Department of Criminal Justice