the relationship between first imprisonment and criminal career development: a matched samples...
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The Relationship between First Imprisonment
and Criminal Career Development:
A Matched Samples Comparison
Presentation at the 2nd Annual Workshop on
Criminology and the Economics of Crime
June 5-6, Wye Maryland
Paul Nieuwbeerta & Arjan Blokland
NSCR
Daniel Nagin
Carnegie-Mellon University
Main Question
• To what extent is there an effect of imprisonment on subsequent criminal career development
(here: in the three years after imprisonment)?
Criminal propensity
Criminal behavior Criminal behavior
Imprisonment Imprisonment
T1 T2
= Incapacitation effect= Deterrence effect
Hypotheses on effect of imprisonmentDLC and Deterrence literature:
• No effect:– Life circumstances (incl. imprisonment) have no effect
• Decrease:– Imprisonment causes the punished individual to revise upward his/her
estimate of severity and/of likelihood of punishment for future lawbreaking
– Rehabilitation, for example by education and vocational training• Increase:
– ‘Imprisonment was not as adverse as anticipated’– Imprisonment reduces estimate of punishment certainty– Prison is ‘school for crime’– Labeling: stigmatization socially and economically
• Different effects for different (groups of) persons:– E.g. for ‘life course persisters’ no effect of imprisonment, for adolescent
limited negative effect of imprisonment (imprisonment = ‘snare’)
How to test for effects of imprisonment?
• In a perfect world for science: randomized treatment assignment in an experimental setting– Then by design all differences between people in treatment group
and in the non-treatment group are cancelled out
• However, randomly imposing prison sentences is somewhat difficult and debatable
• So, we (have to) use:– Data from observational longitudinal studies – A ‘quasi-experimental design’ and– Statistical approaches to control for differences
between the treatment and non-treatment group
Criminal Career and Life Course Study CCLS Data
Sample:• 5.164 persons convicted in 1977 in the Netherlands
– 4% random sample of all persons convicted in 1977
– 500 women (10%)
– 20% non-Dutch (Surinam, Indonesia)
– Mean age in 1977: 27 years; youngest: 12; oldest 79
– Data from year of birth until 2003: for most over 50 years.
CCLS Data• Full criminal conviction histories (Rap sheets)
– Timing, type of offense, type of sentence, imprisonment.
• Life course events (N=4,615):– Various types: marriage, divorce, children, moving,
death (GBA & Central Bureau Heraldry) – incl. Exact timing.
– Cause of death (CBS)
Challenges when examiningeffects of imprisonment I
• Challenges:– Crime is age-graded– Men and women differ in criminal behavior– People die– Earlier imprisonment experiences may also influence criminal behavior
• Solutions used in this paper: – We only examine effects of imprisonment at a certain age: i.e. at age 26, 27 or 28
and examine the number of convictions in next 3 years.– We only examine a selection of persons (N = 3,008):
• Men excluding 424 women
• Persons that did not die before age 31 excluding 20 men• Persons who pre age 26 had not been imprisoned excluding 1163 men earlier
imprisoned
Outcome variable
• Number of convictions in three year period after imprisonment
• Imprisonment at age Dep. Var.: convictions at 26 (N = 66) age: 27, 28, 29 27 (N=55) age: 28, 29, 30 28 (N=63) age: 29, 30, 31Non-imprisoned age 26-28 age: 28, 29, 30
• Correction for exposure-time / incarceration
First time imprisonment between age 26-28
0
5
10
15
20
25
30
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26
Imposed sentence (in weeks)
Perc
enta
ge
• 184 (6%) of the 3,008 persons who pre age 26 had not been imprisoned, are imprisoned for the first time at age 26, 27 or 28
• Length of imprisonment:
Naïve / Baseline comparison
0
0.2
0.4
0.6
0.8
1
1.2
1.4
12 13 14 15 16 17 18 19 20 21 22 23 24 25 t+1 t+2 t+3
Age
All (N=3,008) Imprison. (N=184)
Challenges when examining effects of imprisonment II
• Selection effect: prison sentences are consequence of:
– Offender’s prior criminal record
– Other characteristics
Differences between imprisoned and non-imprisoned
0.00
1.00
2.00
3.00
4.00
Num. of conv. age 12-25 Num. of conv. age: 20-25 Num. of conv. age 25
Num
of C
onv.
non-imprisoned (n=2,824) Imprisoned age 26-28 (N = 184)
Differences between imprisoned and non-imprisoned
0.00
0.10
0.20
0.30
0.40
0.50
Non-Dutch Married Children Unemployed Alcohol dep. Drugs dep.
Pro
port
ion
non-imprisoned (n=2,824) Imprisoned age 26-28 (N = 184)
Methods
• Four statistical approaches to account for systematic differences between imprisoned and non-imprisoned:– Regression– Propensity scores matching– Trajectory group matching– Combination of Trajectory group and
Propensity score matching
Trajectory group matching• For more information: See Haviland & Nagin
2005
• Semi-Parametric group-based trajectories of lagged outcome variable estimated for non-treated up to age t (here: age 12-25)
• Outcome variable measured between age t and age t+x (here: age 26-28)
• Within-groups: compare outcomes from age t forward (here: age 26-28) to assess treatment effect
Age–crime curve
0
0.2
0.4
0.6
0.8
1
1.2
1.4
12 13 14 15 16 17 18 19 20 21 22 23 24 25 t+ t+ t+
Age
All (N=3,008)
Four Trajectories
0
0.2
0.4
0.6
0.8
1
1.2
1.4
12 13 14 15 16 17 18 19 20 21 22 23 24 25 t+ t+ t+
AgeGr 0 (40%; N=1200; 4%Imp.) Gr 1 (38%; N=1135; 9% Imp.) Gr 2 (17%; N=519; 3% Imp.)
Gr 3 ( 5%; N=154; 13% Imp.) All (100%; N=3,008; 6% Imp.)
Group 0: Effect of imprisonment
0
0.2
0.4
0.6
0.8
1
1.2
1.4
12 13 14 15 16 17 18 19 20 21 22 23 24 25 t+1 t+2 t+3
Age
Gr 0 (N=1200) Gr 1 (N=1135) Gr 2 (N=519) Gr 3 (N=154) Imprison. (N=44)
Group 1: Effect of imprisonment
0
0.2
0.4
0.6
0.8
1
1.2
1.4
12 13 14 15 16 17 18 19 20 21 22 23 24 25 t+ t+ t+
Age
Gr 0 (N=1200) Gr 1 (N=1135) Gr 2 (N=519) Gr 3 (N=154) Imprison. (N=104)
Group 2: Effect of imprisonment
0
0.2
0.4
0.6
0.8
1
1.2
1.4
12 13 14 15 16 17 18 19 20 21 22 23 24 25 t+ t+ t+
Age
Gr 0 (N=1200) Gr 1 (N=1135) Gr 2 (N=519) Gr 3 (N=154) Imprison. (N=16)
Group 3: Effect of imprisonment
0
0.2
0.4
0.6
0.8
1
1.2
1.4
12 13 14 15 16 17 18 19 20 21 22 23 24 25 t+ t+ t+
Age
Gr 0 (N=1200) Gr 1 (N=1135) Gr 2 (N=519) Gr 3 (N=154) Imprison (N=20)
• Conclusion: – Imprisonment increases the number of convictions
significantly, i.e. with about 0.6 convictions per year.
• However:– Although substantial improvement compared to
‘uncontrolled situation’ – Within Trajectory groups no perfect balance between
imprisoned and non-imprisoned on criminal history characteristics and personal characteristics was achieved
Propensity Score Matching• Logistic regression: Dependent variable = imprisonment (0=no, 1=yes),
Independent variables = all available (here:– Criminal history characteristics:
• Num. of convictions age 12-25, 20-25 and at 25, • Age of first registration, age of first conviction,• Trajectory group membership probabilities.
– Personal Characteristics:• Age in 1977, non-Dutch, Unemployed around age 25,• Number of years married at age 25, Married at age 25, • Number of years children at age 25, children at age 25, • Alcohol and/or drugs dependent around age 25
• Calculate propensity scores: i.e. predicted probabilities to be imprisoned.
• Match imprisoned persons to non-imprisoned persons with same/similar propensity scores– This creates ‘balance’ on all available characteristics between imprisoned and
non-imprisoned (See: Rosenbaum & Rubin1983, 1984, 1985)
Combination Trajectory Group Matching & Propensity Score Matching
• Within each trajectory group the imprisoned are matched to a non-imprisoned person with the same/similar propensity score
Group 0: Effect of imprisonment
0
0.2
0.4
0.6
0.8
1
1.2
1.4
12 13 14 15 16 17 18 19 20 21 22 23 24 25 t+1 t+2 t+3
Age
Gr 0 (N=88) Gr 1 (N=208) Gr 2 (N=32) Gr 3 (N=38) Imprison. (N=44)
Group 1: Effect of imprisonment
0
0.2
0.4
0.6
0.8
1
1.2
1.4
12 13 14 15 16 17 18 19 20 21 22 23 24 25 t+ t+ t+
Age
Gr 0 (N=88) Gr 1 (N=208) Gr 2 (N=32) Gr 3 (N=38) Imprison. (N=104)
Group 2: Effect of imprisonment
0
0.2
0.4
0.6
0.8
1
1.2
1.4
12 13 14 15 16 17 18 19 20 21 22 23 24 25 t+ t+ t+
Age
Gr 0 (N=88) Gr 1 (N=208) Gr 2 (N=32) Gr 3 (N=38) Imprison. (N=16)
Group 3: Effect of imprisonment
0
0.2
0.4
0.6
0.8
1
1.2
1.4
12 13 14 15 16 17 18 19 20 21 22 23 24 25 t+ t+ t+
Age
Gr 0 (N=88) Gr 1 (N=208) Gr 2 (N=32) Gr 3 (N=38) Imprison. (N=19)
Summary of Estimated Treatment Effects of Imprisonment (in number of convictions per year)
Trajectory
Group
Uncontrolled Trajectory Group Matching
Combination
Traj. Group & Prop. Matching
Gr. 0 0.60 0.47
Gr. 1 0.57 0.53
Gr. 2 0.33 0.25
Gr. 3 0.83 0.90
All (PATE) 0.62 0.62 0.62Note: All effects are statistically significant p<0.05
Q: What if you look at …..?
• Participation (i.e. 0 = no conviction, 1 = one or more conviction(s) in a year) [instead of ‘number of crimes’]:– Same conclusions
• Convictions of specific types of crimes, e.g. property crimes, violent crimes and other crimes [instead of ‘all convictions’]- Same conclusions
- Imprisonment at other ages, e.g. 20-22 [instead of at age 26-28]:– Same conclusions
Conclusions• Conclusion:
– In the three years after imprisonment those who have been imprisoned have on average .6 extra convictions per year, compared to the non-imprisoned
– Effects of imprisonment are similar across trajectory groups– Conclusions are very similar regardless of method used
• Theoretical implications:– Results in line with dynamic DLC theories
• Life circumstance “imprisonment” has effect - even for ‘persistent’ group
• Policy implications:– Incapacitation effect of imprisonment may partly be nullified by
imprisoned offenders subsequently offending at higher rates