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Adversariality, Plea Bargaining, and Prison Population Growth - Evidence From a Natural Experiment, 2019

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Adversariality, Plea Bargaining, and Prison Population Growth: Evidence from a Natural Experiment
Angela Zorro-Medina1
Abstract
During the two decades after the end of the Cold War, the U.S. promoted and sponsored Latin America's
deepest criminal reform transformation. By the end of 2010, approximately 70 percent of Latin American
countries had abandoned their inquisitorial system and adopted the U.S. adversarial model. In the era of
mass incarceration, the U.S. decided to expand its criminal justice model without considering the potential
negative consequences this could have in foreign penitentiary systems. Despite a large body of literature
documenting the scale of felony conviction and imprisonment in the U.S., and its effects on inequality
outcomes, we know relatively little about the impact of the U.S. model in Latin American prisons. After the
reform took place, almost every country that introduced it experienced an acceleration in the incarceration
rate. Almost three decades after the first legal transplant, Latin America lives one of its majors' prison crisis,
while the effect of the adversarial model in the carceral outcomes remains empirically unexplored. In this
project, I seek to advance the literature regarding the consequences of the U.S. transnational agenda by
analyzing how the implementation of the U.S. model in one key jurisdiction -Colombia- resulted in changes
to the convicted prison population. Mainly, I will explore the effects of introducing highly controversial
institutions like the plea bargaining into the Latin American context. To carry out this analysis, I exploit the
variation resulting from the Colombian quasi-experimental implementation of the reform to evaluate how the
U.S. criminal justice approach changed the incarceration dynamics and whether the new system caused a
convicted prison population growth.

1

J.S.D Candidate Yale Law School, correspondence angela.zorromedina@yale.edu

1

I.

INTRODUCTION

During the early 1990s, the U.S. initiated a global campaign against transnational crime. In 1995, President
Clinton spoke before the U.N. General Assembly calling for the establishment of an international network to
combat drug trafficking, terrorism, and criminality. As part of these efforts to strengthen international
cooperation, the U.S. created the "International Law Enforcement Academy" (ILEA), the "Office of Overseas
Prosecutorial Development, Assistance and Training" (OPDAT), and the "Criminal Investigative Training
Assistance Program" (ICITAP). Through the OPDAT and ICITAP, the U.S. Department of Justice (DOJ)Criminal Division has been able to influence police forces and criminal justice institutions overseas. To
complement these institutions' work, the U.S. opened five ILEA's offices2 around the world to promote criminal
justice techniques, criminal procedures, and transnational crime priorities (McLeod 2010).
As part of this agenda, during the two decades following the Cold War, the U.S. promoted and
sponsored Latin America's most profound criminal reform known as the Latin American Criminal Procedural
Revolution (LACPR) (Langer 2007; McLeod 2010). The U.S. intervention varied across countries. In some
cases, U.S. foreign aid programs financed the transformation without direct participation in the legislative
discussion, while in others, the DOJ directly drafted procedural penal codes. As a result, by the end of 2010,
approximately 70 percent of Latin America had adopted the U.S. adversarial model (see Figure 1).3
[FIGURE 1 HERE]

2

The U.S. divided the world into four relevant regions to allocate the ILEA’s offices: 1) Central-Eastern Europe and Central Asia

(Budapest, Hungary); 2) South East Asia and China (Bangkok, Thailand); 3) South of the Sahel and West Africa (Gaborone,
Botswana); and 4) Latin America and the Caribbean (San Salvador, El Salvador). In addition to those four offices, the ILEA
established a central office in Roswell, New Mexico. This office is in charge of training officers from all countries around the globe.
3

After 2010 the transformations in the region continued. Uruguay adopted the new adversarial model in 2017. Four Latin American

countries have not fully transitioned from an inquisitorial system to the U.S. model: Brazil, Belize, Suriname, and Guyana. However,
this does not mean that their internal systems have not been influenced by the transnational project. For instance, between 1995
and 2008, Brazil has gone through two reformations moving toward the U.S. model without completing the transition.

2

In the mass incarceration era, the U.S. decided to expand its criminal justice model without
considering the potential negative consequences this could have in foreign penitentiary systems. Despite a
large body of literature documenting the scale of felony conviction and imprisonment in the U.S. (Dumont et
al. 2012; David Garland 2001; Pettit and Western 2004) and its effects on inequality outcomes (Braman 2004;
Comfort 2007; Geller et al. 2012; Hagan and Dinovitzer 1999; Haskins 2015, 2016; Pager 2003; Wakefield
and Wildeman 2013; Western 2002, 2006; Western and Sirois 2017; Wildeman 2009), little is known about
the U.S. model effects abroad. Figure 2 evidences the enormous variation across the Latin American prison
population after the implementation of the U.S. model. The different patterns observed in figure 2 reveal the
difficulties in understanding the effect of the reform in the region using comparative descriptive data. Despite
these challenges, studies exploring the impact of the U.S. adversarial model in Latin American carceral
outcomes have limited their analysis to these statistical comparisons. Almost three decades after the first
wave of the LACPR, the region is experiencing a prison overcrowding crisis, and the lack of empirical
research continues to obscure the causes behind it (Dudley and Bargent 2017; Marton Ramaciotti 2017).
[FIGURE 2 HERE]
This article seeks to advance the literature regarding the causes of prison population growth in the
Americas by contributing to the ongoing mass-incarceration research from three different perspectives. First,
I offer the first econometrical study evaluating the LACPR impact in incarceration rates. This analysis provides
causal evidence of the effect of criminal procedural laws on imprisonment patters. To do this, I use Colombia
as a case of study considering the reform quasi-experimental implementation and data availability. As I will
show later in this paper, Colombia offers a perfect setting to develop a causal inference analysis.4 In addition

4

The clear-cut implementation of the reform makes Colombia one of the most successful countries transitioning from an inquisitorial

system to the U.S.-style adversarial model. In 2008, only three years after introducing the new criminal system, Colombia extended
the coverage of the adversarial model to its entire territory. Comparing the Colombian case with the Mexican case, the
implementation success of the Colombian reform is undeniable. The Mexican government failed in the implementation of the 2005

3

to these empirical advantages, legal scholars argue that the DOJ's largest influence occurred in Colombia
since OPDAT agents directly drafted sections of the approved legislation (Langer 2007). The DOJ's high
involvement in the Colombian Procedural Penal Code allows directly exploring the effect of the U.S.
intervention in foreign penitentiary systems.
To develop this empirical study, I designed data treatment strategies to work with Latin American
prison data. Understanding the differences between the U.S. and Latin American penitentiary systems is
crucial to determine the cofounding institutional and socioeconomic factors that affect them. Here I propose
particular guidelines about the treatment of Latin American data highlighting the need to develop empirical
models design for the Global South, instead of directly applying Global North methodologies without
understanding the differences among them.
Second, I explored the effects of introducing plea bargaining into the Latin American context despite
the U.S. mass-incarceration literature critiques of this figure (Heumann and Loftin 1979; Savitsky 2012).
Before the introduction of the U.S. adversarial model, most Latin American countries only had one way to
end criminal processes: trial. The new model increased the prosecutorial discretion by creating the possibility
to negotiate agreements to terminate the process without a trial (plea bargaining) (Langer 2021). The lack of
individual records to test changes in the risk of conviction or imprisonment before 2004 complicates the
evaluation of plea negotiation effects in Latin America. To carry out this analysis, I combine event study and
difference-in-difference estimations to assess how the U.S. adversarial model changed Latin American
incarceration patterns. Using the variation resulting from the LACPR different timing in Colombia, I study the
changes in entry and release rates, differences by gender, and disparities in first and second convictions.

reform, which required the approval of second reform in 2008 to complete the transition. According to official sources, by 2016 the
adversarial system only covered 74% of the country. (Riego 2007; Secretaría de Gobernación México 2016)

4

Finally, this paper aims to begin filling the literature gap between the U.S. and Latin American
advancing empirical sociological research in the latter. Diverse scholars in the field have recognized the
importance of comparative analysis to understand better the complex causal relationships that exist in
national contexts (Munroe, Munroe, and Whiting 1981; Ruback and Weiner 1993; Sampson and Lauritsen
1997; Wildeman 2016); however, few empirical investigations outside the U.S. and Europe have been done
in this area. By focusing on how changes in the prosecutor's discretion and the procedure length affected
incarceration patterns, I intend to contribute to this empirical comparative conversation using different
national settings in a causal inference framework.
The paper proceeds as follows: In the second section, I present a literature review of the relationship
between adversariality, plea bargaining, and mass-incarceration. In the following segment, I discuss the
Colombian case and introduce my empirical hypotheses. In the fourth and fifth sections, I describe the data
and explain the methodological strategy. And finally, in the last two segments, I present the results and
conclusions of my estimates showing that the U.S. adversarial system caused an increase of 18% in
Colombian incarceration rates. I will discuss how these changes affected men and women differently,
connecting these disparities to the plea bargaining introduction.
II.

ADVESARIALITY, PLEA BARGAINING AND MASS-INCARCERATION

During the 1960s, the research on the penal system explored the importance of procedural institutions
on justice adjudication. Debates around the advantages and disadvantages of the Anglo-American
adversarial model and European inquisitorial systems promoted a comparative analysis of criminal
procedural institutions (Goldstein 1975; Goldstein and Marcus 1977; Langbein 1978; Langbein and Weinreb
1977). The transnational approach challenged the superiority of one model over the other, encouraging
empirical evaluations of their effects in penal outcomes. However, the U.S. incarceration rise in the mid1970s stimulated the proliferation of national investigations, and comparative analysis fell out of favor in the
U.S. criminological study.
5

Throughout the following decades, research on the criminal justice system widely focused on the U.S.
prison population growth under an American exceptionalism approach. Empirical studies on this area
explored the causal factors driving incarceration rates using U.S. historical data at the federal and state level
(Marvell and Moody 1994; Pfaff 2017; Raphael 2010; Sorensen and Stemen 2002; Stolzenberg and D'Alessio
1996; Zimring, Hawkins, and Hawkins 1993). Some of the most important findings reveal that crime
(Blumstein and Beck 1999; Blumstein and Moitra 1979; Listokin 2003a; Pfaff 2008, 2011; Reitz 1997; Zimring
et al. 1993), economic conditions (Ignatieff 1978; Rothman 1990; Rusche and Kirchheimer 2003),
demographic trends (Beckett 1999; Caplow and Simon 1999; Fryer et al. 2005; Marvell and Moody 1997;
Sampson and Lauritsen 1997; Shannon et al. 2017; Tonry 1997; Western 2006), and political culture changes
(David Garland 2001; D. Garland 2001; Mauer 1999; Shepherd 2002) are forces driving imprisonment growth.
Although these research projects have been vital to understanding the U.S. mass-incarceration phenomenon,
little is known about the role of adversariality in the prison population growth.
Social science research has connected adversariality to the U.S. mass-incarceration through the
increasing use of plea negotiations.5 The consolidation of plea bargaining as the modal form of criminal
adjudication caused that between 1966 and 1983, over 90% of the U.S. sentences in criminal cases resulted
from a guilty plea (Grossman and Katz 1983; Langbein 1978; Newman and Remington 1966). The central
role of plea bargaining in the U.S. system motivated empirical studies evaluating its effects on crime rates,
prison growth, and sentence length (Rubinstein and White 1979). The primary findings of this research
suggest that inequality factors influence sentences length differences (Anderson, Kling, and Stith 1999;

5

Legal scholars have connected the appearance of plea bargaining with a natural development of adversariality. Using historical

analysis, supporters of this view, claim that plea negotiations are not new form of adjudicating punishment, but a tool traceable to
the nineteenth century highlighting the long tradition of this form of negotiation inside the adversarial culture. (Feeley 1978, 1982;
Heumann 1975; Padgett 1985)

6

LaCasse and Payne 1999), and the likelihood to go to trial in the guilty plea cases (Ashenfelter, Eisenberg,
and Schwab 1995; LaCasse and Payne 1999).
Other empirical research has tested whether eliminating plea negotiations caused a change in
incarceration rates exploiting state reforms (Bushway, Owens, and Piehl 2012; Church 1976; Weninger
1987). However, the results have been inconclusive. Moreover, in recent years, new studies discussing the
role of plea negotiations on prison population growth have reappeared (Bibas 2012; Bushway, Redlich, and
Norris 2014; Crespo 2018; Pfaff 2017). Yet, the existence of plea negotiations since the nineteen maintain
the causal link unidentified in the absence of a proper counterfactual (Feeley 1978).
In this paper, I intend to go back to the comparative analysis and transnational approach to assess
the causal relationship between adversariality, guilty pleas, and incarceration rates. Specifically, I propose
using the U.S. agenda in Latin America to advance both the understanding of the Latin American prison
systems and the criminal procedural role in prison population growth. I exploit the Colombian quasiexperimental setting to perform this empirical evaluation. Since not all countries followed a quasiexperimental implementation of the reform, I focused on the Colombian case because it offers a unique
setting by including for the first time the institution of plea bargaining and doing it in a natural experimental
form.
III.

THE COLOMBIAN NATURAL EXPERIMENT

The adoption of the U.S. adversarial model in Latin America created a quasi-experimental setting to
evaluate the effects of adversariality and plea bargaining on incarceration rates. Specifically, Colombia, Perú,
Mexico, and Chile followed a staggered implementation. However, only Chile and Colombia successfully
executed the rolling-out process in the original dates. The Chilean case introduced the reform, between 2000
and 2005, in five waves across its territory, and reserved all metropolitan regions for the final stage (40.1%

7

of the Chilean population) (Gendarmeria de Chile 2000).6 The Chilean separation between rural and urban
areas challenges the as-if-random identification assumption of a quasi-experimental analysis considering the
relationship between incarceration rates and population type (rural or urban) (Clear 2007; Sampson 1983,
1985; Sampson and Loeffler 2010; Simes 2016, 2018; Travis, Western, and Redburn 2014).
In contrast, Colombia divided its territory into four stages, covering approximately 25% of the population
in each phase. The even distribution of the Colombian reform offers an arguable exogenous source of
variation with distinguishable treatment and control groups. Figure 3 displays the distribution of the reform in
the Colombian territory.
[Figure 3 Here]
Besides the advantages of the Colombian rolling-out reform, Latin American literature identified Colombia
as one of the most successful cases transitioning towards the U.S. adversarial model (CEJA 2015; de Luca
2008) and the closest country to the U.S. in the region (Langer 2007; McLeod 2010). During the 1990s,
Colombia strengthened the relationship with the U.S. with the creation of Plan Colombia, a major counternarcotics and criminal justice reform package. The Plan Colombia had bipartisan support in the U.S., which
allowed it to survive from the Clinton Administration to the Obama Administration. As part of this cooperation
program, the U.S. defined the Colombian justice reform priorities and monitored the progress benchmarks.
Following the U.S. intervention, in 2000, Colombia started its penal transformation enacting a mixed
inquisitorial procedural code with an adversarial lean tendency (Law 600/00). Despite this initial reform, the
Colombian system continued to be highly inquisitorial. Under the law 600/00, prosecutors served a dual
function as investigators and adjudicators in long written criminal processes that ended in private trials. Since
all cases terminated in trials, the overloaded judicial system produced a low number of convictions every

6

First stage 9.7% population (16 December 2000); Second stage 10.9% population (16 October 2001); Third stage 4,4% (16

December 2002); Fourth stage 34.7% population (16 December 2003); Fifth stage metropolitan region 40,1% (16 June 2005).

8

year. After the first wave of the LACPR in 2005, the Colombian system only resolved 21% of new cases.
However, this low rate changed after the LACPR third wave when the judicial system started processing
almost 50% of incoming incidents (Martínez Cuéllar, Hernández Luna, and Parra González 2008).
The small number of sentences created an impunity perception that motivated Colombian elites to
advocate for a new procedural reform. This national movement amplified the U.S. economic and political
pressures to complete the transition towards an adversarial model. Consequently, in August 2004, the
Colombian Congress approved the new Adversarial Criminal Justice Code (ACJC). The reform transformed
the written private processes into oral publicly available hearings7 and imposed temporal limits to reduce
procedural length. After the change, between 2006 and 2007, decisions in homicide cases went from 493
days to 116 days (76% reduction), while property crimes cases went from 597 to 69 days (87% reduction)
(Zorro-Medina, Acosta Mejia, and Mejia 2016).
Additionally, the ACJC included alternative forms to terminate criminal cases. Mainly, the ACJC granted
prosecutors the power to engage in plea bargains with the ultimate goal of increasing conviction rates. Before
the ACJC, the law 600/00 regulated the agreement terms between the defense and the prosecutor, and it
never substituted the trial. Those agreements offered the accused the possibility to accept charges to obtain
a sentence reduction stipulated in the procedural code. In contrast, the ACJC incorporated fully discretional
negotiations between the prosecutor and the defense in exchange for a guilty plea, and those agreements
substituted trials. Between 2005 and 2007, trial sentences represented around 7% of total convictions (6%
and 7% respectively). In contrast, during the same period, guilty pleas increased 9%, going from 7% to 14%
of total convictions (Martínez Cuéllar et al. 2008). Moreover, from 2007 to 2016, the Colombian system

7

Despite the changes during the phases prior to the conviction, the Colombian criminal procedure continued to use the old

inquisitorial written structure after a conviction happened.

9

acquitted one person for every nine convictions, and by 2016, almost 50% of sentences came from guilty
pleas (Higuera Guío 2016).
At first sight, Colombia introduced adversariality and plea bargaining following an experimental
implementation as-good-as-if-random. Using this staggered rollout, I intend to estimate the effect of these
two factors in prison population growth. Previous descriptive studies claim that the LACPR increased
incarceration rates (Salinero Echeverría 2012; Zorro Medina 2014); however, this literature has been unable
to identify a causal link. To address this, I separate the analysis into two stages. First, I evaluate whether the
LACPR caused an increase in prison population growth. Since no-individual data is available, I estimate
average treatment effects using aggregated data. By assessing the LACPR impact on prison population
growth, I would be able to predict whether introducing an adversarial model, ceteris paribus, in a previously
inquisitorial-country increases incarceration rates.
Secondly, I explore the impact of introducing plea bargaining. As mentioned before, ideally, individual
data would allow me to evaluate changes in conviction risk. However, due to data limitations, I calculate the
average treatment effects. To separate the impact of procedural celerity and guilty-pleas, I classified
conviction outcomes and their potential change as evidence supporting one of these two mechanisms. Figure
4 depicts the outcomes I have identified as evidence of procedural celerity (Mechanism A) or plea-bargaining
(Mechanism B) effects.
[Figure 4 Here]
As observe in figure 4, I associate increases in all conviction types with procedural celerity (Mechanism
A, Evidence 1A). Since the procedural length reduction occurred for all criminal cases, finding an increase in
both first and second convictions would suggest that adversarial celerity contributes to prison growth.
Furthermore, I would expect the relationship between first and second convictions rates to remain constant
considering both processes followed the same procedural stages. Differentiated effects would suggest a
different mechanism is driving these rates changes. The second evidence comes from admission and release
10

data. Since the ACJC maintained the post-sentencing old structure, an increase in admission rates but no
effect on releases would support the idea that Mechanism A caused an expansion in the Colombian prison
population.
For Mechanism B, I perceive a change in release rates as evidence that plea-bargaining affected
prison population growth, ceteris paribus. Because guilty pleas usually come with a sentence reduction, a
rise in release rates could be signaling shorter prison sentences on average (Evidence 1B). In addition to
release changes, I include estimations by sex associating gender difference to the discretional use of prison
in guilty pleas (Evidence 2B). By maintaining the rest of the factors constant, a gender differential effect would
be driven by plea bargaining negotiations since it is the only source of variation between men and women
under the new code. I only explored gender differences since no other demographic characteristics are
available.8 In the following sections, I explain the data used in this analysis, providing more empirical evidence
of the quasi-experimental conditions of the Colombian case.
IV.

DATA

To analyze the effect of the LACPR on the prison population growth, I constructed a municipality panel
dataset using four sources of information. Data on prison population come from the Colombian National
Penitentiary Institute (INPEC), the national agency responsible for all prison matters in the country, including
collecting and maintaining data from all prisons across the national territory. Convicted population data is
available every six months from June 2000 to December 2015 for all prisons in Colombia.9 Male and female
incarceration rates are available from 2000 to 2015. However, gender-specific first and second conviction
rates are only available after 2005; therefore, I only used sex-aggregated information during this period. Entry

8

Information on race, ethnicity, age, education level, among other variables is only available at national level. This aggregation

level does not allow to exploit the quasi-experimental implementation of the reform.
9

Some prisons opened, closed, and re-opened during that period of time.

11

and release data10 are available every six months from June 2000 to December 2004, and from June 2008
to December 2015. Convicted admission and release rates are accessible only from June 2008 to December
2015. The data records 4,652 observations of prisons with convicted population over 15 years and 2,247
observations of sentenced population entries and releases over eight years. 11
Data on crime come from the National Police Reports on the System of Statistical Information on Crime,
Violations, and Arrests (Sistema de Informacion Estadistico, Delincuencial, Contravencional y Operativo de
la Policia Nacional-SIEDCO). The SIEDCO data uses incident-level information on criminal activity and
arrests including the offense, date, and location.12 For this project, I aggregated crime and arrest data by
municipality every six months. I only included high-impact crimes with lower measurement error (homicides,
assaults, muggings, business robberies, home burglaries, and vehicle thefts), since the National Police data
suffer from underreporting over the relevant period. To aggregate it, I constructed a crime index using a
summation function weighting each crime by its average prison sentence.13 Because the dependent variables
are convicted prison outcomes, the relevance of each crime depends on the average period a person spends
in prison if convicted (see Table A2 for further detail about the weighting calculation).
Finally, to control for socioeconomic and demographic municipality differences, I use a cross-sectional
time-series data from the Center of Economic Studies from Universidad de Los Andes (CEDE) and the public
demographic information of the Colombian Department of National Statistics (DANE). The CEDE panel

10

In Colombia prisons held pre-trial detainees and convicted individuals. In this article, I focus in the convicted individuals only.

However, admission and release data between 2000 and 2004 includes both populations. Since this is the only data available, I
use it as a proxy of convicted admission and release rates. Considering that convicted population is never larger than total prison
population, a significant estimator would be underestimating the effect of the reform but never overestimating it.
11

According to the data, 160 prisons existed between 2000 and 2015 in Colombia, however, the number of prisons every year

never surpass the 137.
12

Because of Colombia’s internal conflict, institutional data separates conflict-related crime information to violence connected to

war. I only use non-conflict criminal data to estimate the models.
13

The Colombian penal code defines minimum and maximum sentencing guidelines for all criminal offenses.

12

includes yearly data about education, income, inequality, forced displacement, and rural index of each
municipality from 2000 to 2012 (N=1122, T=13, NxT=14,586).14 I use controls traditionally identified by the
literature as determinants of imprisonment rate: income per capita measured as municipality income per
capita; institutional capacity included as a fiscal performance of the municipality; rural index; education, using
as proxy municipal expenditure on education per capita; and population density (Jacobs 1961; Jacobs and
Helms 1996, 2001; Kling 2006; Kowalski and Duffield 1990; Listokin 2003a; Pfaff 2007, 2008; Raphael 2010;
Sampson 1983, 1985; Shichor, Decker, and O'Brien 1980; Wilson and Boland 1978). Because of Colombia's
internal conflict, I controlled for structural differences related to war violence that could affect the incarceration
rates using the number of persons that migrated from a municipality due to war, and the number of forced
displaced persons that arrived at a municipality in a given year. The DANE provided municipality population
density data from 2000 to 2015 (N=1122, T=16, NxT=17,952).15
V.

EMPIRICAL STRATEGY

For this analysis, I estimate the effect of introducing an adversarial model and plea bargaining on prison
population growth by exploiting the natural variation resulting from the LACPR implementation timing in
Colombia. Considering the lack of individual data, I use prison information to calculate the average treatment
effects. As figure 3 shows, only 11% of Colombian municipalities have prisons.16 Consequently, I use prisonmunicipality-based panel estimations, including both prison-municipality and time fixed effects in all
regressions.17

14

For the education variable, I only have information between 2000 and 2010 (NxT=12,342).

15

The methodological appendix includes more details about the data construction process.

16

Colombia has 1101 municipalities, and only 126 of them have prison in their territories. since Colombia is a unitary country, all

municipalities follow the same substantive penal code, and those 126 municipalities hold all the prison population.
17

Because of the number of observations, it was not possible to include fixed effects of time-municipality. However, I address the

potential time-varying municipalities effects in our event study analysis. Moreover, as I will show the parallel trends assumption
holds without including time-varying municipality fixed effects, which allow me to continue with the specified model.

13

I constructed the prison-municipality unit (N=126) based on the municipality administrative division and
the prisons' locations across the territory. To match these 126 prison-municipalities with the relevant
socioeconomic and crime information, I paired the data of municipalities without prisons to the nearest prisonmunicipality.18 Because all sentenced individuals go to the nearest center in the same Judicial District where
the conviction occurred, I restricted the matching process to municipalities under the same jurisdiction.19
Considering the available data differences, I use three empirical approaches using normalize variables
by 100,000 inhabitants and logarithmic transformations to allow non-linear relationships.20 First, I estimated
an event study model following the Granger-Type Causality test structure to examine whether treatment and
control groups had parallel trends21 before the LACPR (2000-2004), and to rule-out potential anticipation
effects.22 Additionally, I captured phase-in-effects by extending the model to the post-treatment period.
Equation 1 represents this leads-and-lags model:
*
!!,#$ = #% + ∑&
&(') #& &!,#'& + ∑*(% #* &!,#+* + '! + (# + )!,#

(1)

where !!,#$ represents s for each prison-municipality i and period t: (i) convicted prison population; (ii) firstconviction prison population; (iii) second-conviction prison population; (iv) prison admission rates; (v) prison

18

Section I of the Methodological Appendix contains a detailed explanation of the matching distance algorithm.

19

The uneven distribution of prisons across the Colombian territory exemplifies the difficulties of implementing the methods

traditionally used by the empirical literature of mass incarceration in the United States directly into Latin American contexts.
Advancing the empirical literature on the causes and consequences of incarceration across the Americas must take into
consideration the heterogeneity across different countries and develop new techniques that address these particularities.
20

For zero values, I used the transformation ln(y+1) =0.

21

I tested conditional and unconditional parallel trends. As I will show in the result section, the parallel trends assumption holds to

both models. Since the unconditional parallel trend test provides stronger evidence of the comparability between treatment and
control groups, I included these results.
22

The difference-in-difference models with time varying treatment the arguable exogeneity of the reform requires an exogeneity

condition besides the tradition parallel trend assumption. This means that the implementation process must be independent of the
outcome variables, and therefore, municipalities did not change their behavior anticipating the reform before it was implemented.
This test allows me to see whether an anticipation effect occurred violating the exogeneity condition.

14

release rates; and (vi) the ratio of admissions over releases. I estimate the outcomes (i) to (iii) by sex. The
term ∑&
&() #& &!,#'& denotes the sequence of lagged treatment variables (m=-60 months), or in other
words, captures the potential differences in the pre-treatment period between treatment and control groups.
On the other hand, ∑**(% #* &!,#+* denotes the present and future treatment sequence (p=60 months),
capturing the LACPR effect in the outcome variables. This leads-and-lags structure includes prisonmunicipality ('! ) fixed effects, year-month ((# ) fixed effects, and prison-municipality cluster standard errors.
During the pre-treatment period, the parameter #& captures anticipation effects by testing an
association between the reform and current outcomes before the implementation. Additionally, it estimates
differences in pre-treatment trends (parallel trends assumption). Under strict exogeneity and parallel trends,
#& = 0 for , = −6, … , −60. In the post-treatment phase (1 = 6, … ,60), ∑**() #* &!,#+* represents
the phase-in effects of the reform, therefore parameter #* represents the immediate effect of the policy when
1 = 6, and the additional effects that occur after the LACPR adoption (1 > 0).
Secondly, I exploited the timing-variation using a difference-in-difference model. I separate prisonmunicipalities into treatment (under the ACJC) and control groups (under Law 600/00) for each period.
Formally, I estimate model 2:
!!,#$ = 3% + 3, 45678!,# +3- 9!,# +3. ;!,#'/ + '! + (# + )!,#

(2)

where !!,#$ represents s prison population outcomes for each prison-municipality i and period t: (i) convicted
prison population; (ii) first-conviction prison population; and (iii) second-conviction prison population. I also
estimated model 2 by sex. Variable 45678!,# is a binary variable indicating whether the reform has been
implemented in a prison-municipality. Vector 9!,# contains the already mentioned economic, demographic,
and institutional variables to control for time-varying municipality characteristics. The term ;!,#'/ controls for

15

crime rates and police arrests. For ;!,#'/ , I used a lag-structure23 to avoid endogeneity problems (Listokin,
2003a; Pfaff, 2008, 2011).24 Since the lag-structure imposes restrictions on placebo tests, I incorporated an
alternative estimation excluding ;!,#'/ to compare the results with the robustness check evaluations. The
results show that excluding ;!,#'/ does not affect the results significantly.
Furthermore, model 2 includes time fixed effects ((# ) to control for national tendencies and
cyclicality in incarceration rates. Likewise, it contains prison-municipality ('! ) fixed effects to control for nonobservable and time-invariant prison-municipality characteristics, and for differences in the propensity to
report data.25 Lastly, the last term of the model )!,# represents a prison-municipality clustered error. Although
the implementation uses judicial districts for treatment assignment, the small number does not allow for
clustering by them (Cameron and Miller 2015). I report the statistically significant coefficients as unweighted
elasticities interpreted as the percentual change in the applicable rate.26

23

I used the National Prosecutor Office information about the length of the criminal process to design the lag structure of the

model. On average, the process length since the incident report to trial is between 365 and 730 days. Based on this length of the
process, I used a one-year lag measure of arrests and a two-year lag for the crime index
24

Previous literature has identified the problems to evaluate the impact of crime on imprisonment rates since the number of

prisoners affects the amount of crime. Particularly, Pfaff (2011) and Listokin (2003) have pointed out, the relationship between
crime and incarceration rates is complex and dynamic, the number of individuals in prison in a year depends "not only on the crime
rate for that year but also on many lags of the crime rate" (Listokin, 2003, p. 183).
25

I attempted including municipality-time fixed effects or judicial districts-time fixed effects, but the number of observations is

insufficient. Considering the parallel trends and exogeneity assumption hold without conditioning by them, I argue my estimators
are unbiased.
26

The equitable distribution of the reform across the Colombian population approximates the population-weighted (WLS) and

unweighted (OLS) estimates, reducing the presence of unmodeled heterogeneity (Deaton 1997; Goodman-Bacon 2018; Solon,
Haider, and Wooldridge 2015; Wooldridge 2001).

16

Finally, in model 3, I estimated a fixed-effect regression controlling for economic, demographic, and
institutional cofounding variables, as well as time-trends, for admission and release rates. I used this firstdifference model because of the lack of reliable data between 2005-2007. 27 Model 3 follows this specification:
!!,#$ = 3% + 3, 45678!,# + 3- =! ∗ 45678!,# + +3. 9!,# +30 ;!,#'/ + '! + )!,#

(3)

where !!,#$ represents s prison population outcomes for each prison-municipality i and period t: (i) prison
admission rates, (ii) prison release rates, and (iii) the ratio of entries over liberations. 45678!,# , is a binary
variable that takes the value of one for all municipalities in the post-reform period (= ≥ 2008) and zero
before the ACJC implementation (= ≤ 2004).28 The interaction term =! ∗ 45678!,# captures any
cofounding time-trend effect in the first difference model with time-gaps. Additionally, I controlled for
socioeconomic, crime, and arrest factors by including vectors 9!,# and ;!,#'/ . Lastly, model 3 contains
prison municipality ('! ) fixed effects and cluster standard errors at the prison-municipality level.29
VI.

RESULTS

The leads-and-lags (model 1) findings suggest that all treatment and control groups had parallel trends
and no-anticipation effects occurred before the reform implementation. Figure 5 displays the results for all

27

As mentioned previously, information on entries and releases from prison exists for the pre-reform period and post-reform period.

For the pre-reform period between 2000 to 2004, excluding 2001; and after the reform from 2008 to 2015. This eliminates the
possibility of exploiting the rolling-out implementation variation.
28

Although specifications (2) and (3) seem similar, the estimations differ substantially. While on the specification (2) the coefficient

of interest represents a double difference, in model 3 the estimator characterizes one difference. The double difference comes
from the comparison of the average outcome of the treatment and control group separately before and after the reform, and
&"#$% − Y
&"&'#& |D = 1] −
posteriorly the subtraction of the initial difference in the control group from the treatment group (β"! = [Y
&"#$% − &
[Y
Y"&'#& |D = 0]). Using two differences guarantees that the estimator β"! captures the effect of the reform instead of
confounding time-trends of the outcome variable. In specification (3), the single difference does not exclude potential time-trends
&"#$% )*+", |D = 1] − [Y
&"&'#& )*+", |D = 1]).
of the entry and release data (β"! = [Y
29

Because of the existence of potential structural differences between the municipalities in the pre-and-post treatment period,

the results should not be considered as causal effects of the LACPR on the outcome variables, rather measures of correlation
between the different variables and the reform.

17

incarceration rates with information during the rolling-out, and figure 6 shows the findings for entry and
release rates, excluding the years 2005-2007 as this data is not available. These figures confirm that for
, = −6, … , −60, the confidence interval includes #& = 0,30 offering evidence that no significant
difference between the groups existed prior to the LACPR.
In the post-treatment period, figure 5 reveals that the LACPR increased the incarceration rate and
particularly the second-time rate. In contrast, these results suggest that the reform reduced the female
incarceration rate for first-time and second-time convicted women. These findings provide evidence
supporting a causal connection between the LACPR and incarceration rates growth. Moreover, the results
show a differential effect between men and women associated with Mechanism B (plea bargaining). For
females, figure 5 displays a consistent decrease in their incarceration rates. In contrast, for male rates no
significant effect is observed using the unrestricted model 1.
[FIGURE 5 HERE]
Additionally, figure 6 reveals that an increase in admission and release rates occurred after the
implementation of the LACPR. Figure 6 illustrates an expansion in admission rates after 12 months of the
reform implementation and a rise in release rates after 36 months of this transformation. These findings
support the hypothesis that celerity (mechanism A) and a plea-bargaining (mechanism B) caused an increase
in incarceration rates, as explained in figure 3.
[FIGURE 6 HERE]
After finding evidence supporting the difference-in-difference identification assumptions for the
outcome variables (parallel trends and treatment exogeneity), I tested these conditions in the cofounding

30

In this model, I use a confidence level of 90% since it increases the probability of rejecting γ- = 0 for m = −6, … , −60.

Therefore, since I cannot reject γ- = 0 this suggest that parallel trends existed in the pre-treatment period.

18

variables to confirm the treatment and control groups' comparability. Figure 7 depicts the results of model 1
using the socioeconomic and crime variables. In this figure, I show that over the five years prior to the LACPR
treatment and control groups had parallel trends in all socioeconomic, crime, and arrest factors. These
findings confirm the quasi-experimental conditions of the Colombian case and support the use of a differencein-difference specification (model 2).
[FIGURE 7 HERE]
After providing robust evidence of parallel trends and treatment exogeneity, I estimated models 2
and 3. These models' results suggest the LACPR increased the incarceration rate between 18% and 30%,
particularly causing a rise of 19%-22% in first-time and 28%-31% in second-time incarceration rates (see
table 1). These findings confirm that the introduction of adversariality, ceteris paribus, affects prison growth.
Moreover, table 1 shows that no statistical difference between first-time and second-time incarceration rates
occurred (see column 4, table 1), supporting the hypothesis that procedural celerity (mechanism A) could
have driven this increase.
Furthermore, table 1 ratifies the growth in admission and liberations rates (columns 5 and 6, table
1). These findings from model 3 suggest that after the LACPR an increase of 75%-81% in entries and 48%58% in releases happened. As explained previously, the first-difference specification (model 3) does not
eliminate previous structural differences as model 2 does, therefore, these findings should be interpreted as
strong correlations and not causal links. Nevertheless, the consistent results strongly suggest a potential
causal effect.
[TABLE 1 HERE]
Finally, table 2 displays the difference-in-difference test on female and male incarceration rates.
These results confirm the decrease of 25%-27% in the female incarceration rates after the LACPR.
Specifically, the female first-time incarceration rate declined by 29%, and second-time decreased by
approximately 36%. On the contrary, male incarceration rates grew around 32%-40%, with first-time rates
19

increasing between 35%-42% and second-time rates rising 25%-26%. These gender disparities suggest that
plea-bargaining (Mechanism B) affected prison population growth.31 These findings are consistent with
previous empirical literature in this area. For instance, social scientists argue that male defenders are more
likely to be incarcerated than their female counterparts (Berdejó 2018; Steffensmeier and Allan 1996;
Steffensmeier, Kramer, and Streifel 1993). Moreover, scholars studying gender disparities in plea-bargaining
negotiations suggest that men tend to receive longer sentences than women in criminal cases (Albonetti
2002; Mustard 2001; Shermer and Johnson 2010; Stacey and Spohn 2006; Starr 2015; Steffensmeier and
Allan 1996; Steffensmeier et al. 1993; Ward, Hartley, and Tillyer 2016).
[TABLE 2 HERE]
VII.

CONCLUSION
For the last decades, the literature on prison growth has widely documented the increase in

incarceration rates in different contexts in the Global North. Still, little is known about the factors driving
changes in the Global South. Notably, quantitative researchers have overlooked the Latin American case.
This paper proposed to use the quasi-experimental implementation of the U.S. adversarial model in Colombia
to evaluate empirically untested hypotheses about the factors that influence prison population growth while
advancing the knowledge of Latin American carceral state.
The findings suggest that adversariality increases incarceration rates maintaining all other factors
constants. For the Colombian case, the change caused a prison population growth of nearly 302-504 inmates
per 100,000 inhabitants every year, most of them convicted for a second time. However, the effects of the
reform had gender variation. For male incarceration rates, adversariality caused an increase of 192-240 men

31

Since data for the pre-treatment period is not available these estimates could be underestimating the effects for males

and overestimated it for females. Still, the effect contrary direction cannot be explained by the data imputation process,
strongly suggesting both groups were affected differently.

20

per 100,000 inhabitants yearly, while it decreased female rates in 102-110 women per 100,000 inhabitants
annually.
These results suggest that two mechanisms of the U.S. adversarial system influenced the prison
growth in Colombia. First, the celerity increase reduced drastically procedural terms affecting admission rates
12 months after the reform. And secondly, the introduction of plea bargaining caused a rise in male conviction
rates. This evidence is consistent with previous literature connecting plea-bargaining with incarceration
growth and gender disparities (Berdejó 2018; Steffensmeier and Allan 1996; Steffensmeier, Kramer, and
Streifel 1993). This study contributes to this literature by providing a causal link between these two while
showing that expanding the research of prison beyond the U.S. borders can contribute to advance the
criminological field. Moreover, it provides one of the few empirical studies on the Latin American prison
system expanding the research of the U.S. foreign aid programs in the region.
To continue advancing the Global understanding of the carceral state more comparative research is
necessary. This paper proposes to use the quasi-experimental implementation of the U.S. wars on crime and
drugs in other countries to evaluate untestable hypotheses existing in the literature. As this research shows,
international cases contribute to advancing the empirical criminological scholarship in the U.S. and the Global
South simultaneously.

21

Figure 1. Latin American Criminal Procedural Revolution, 1990-2020

First Wave
Second Wave
Third Wave
Fourth Wave
No ACJS

450
350

-

250

-

150

-

50

•• •
-

450

Argentina
-

-

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250
150
50

-

••••

Panama

I

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. 1
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1980 1990
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'

'
1980 1990 2000 2010
I

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Costa Rica

Dominican Republic

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Mexico

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Nicaragua

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' 1990 2000 2010
1980
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Venezuela

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1980 1990 2000 2010

Peru

••

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J•••

•

I

•

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Paraguay

•

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Guatemala

I
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Colombia

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El Salvador

I
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Ecuador

450
350

. :·

r

-

Chile

I
I
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I

......

250
150

Bolivia

I
I
I
I
I
I
I •

50

Incarceration Rate per 100,000 Inhabitants

Figure 2. Incarceration Rates Pre-LACPR and Post-LACPR in Latin America (1980-2015)

• ••

••➔I
•
••
• I
•
I

' 2010
1980 1990 2000

Year

I

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I

I

• •
•

I
I
I
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•••

....

.1
1•

'
' 1990 2000 2010
1980
I

I

Figure 3. Distribution of the LACPR and Prison in Colombian Territory, 2005-2008

•
□
□
□

January 2005- 22% Population
January 2006- 26% Population
January 2007- 27% Population
January 2008- 25% Population

•

□

Municipalities with Prisons
Muncipalities without Prisons

Figure 4. Cases Explaining the Decrease in Pre-Trial Detention by the LACPR

Evidence 1A: ↑ First = ↑ Second Conviction Population

Mechanism A:
Increase
Procedural
Celerity

•

Evidence 2A:↑ Admissions & Releases

Increase
Prison Population

Evidence 1B: ↑ Releases

Mechanism B:
Introduction
Plea Bargaining
Evidence 2B: ∆ Female≠ ∆ Male Convicted Population

Male Incarceration Rate

.5
0
-.5
-1

1
0
-1
-2

1

1TTTT_ T I
I I I I 1TT TtT~-

T----

0
-1
-2

1I I1111111 1
111

2nd-Time Incarceration Rate

-60-48-36-24-12 0 12 24 36 48 60 72
Months relative to Criminal Reform

'

4
2

I
-

TTT-

0
-2

I

1111

------

I

-60-48-36-24-12 0 12 24 36 48 60 72
Months relative to Criminal Reform

1st-Time Male Incarceration Rate

2

2
0
-2
-4
-6

-36 -24 -12 0 12 24 36 48 60 72
Months relative to Criminal Reform

2nd-Time Male Incarceration Rate

1st-Time Incarceration Rate

-60-48-36-24-12 0 12 24 36 48 60 72
Months relative to Criminal Reform

'

1

1-TTT ...... TTTT

0
-1

I
I
I

-2
-3

111
l

-36 -24 -12 0 12 24 36 48 60 72
Months relative to Criminal Reform

3

rTTTT

TT 111 I I I I
+TTT 11 ~~ 1
I

2
1
0

-_ - TT

IIIIII

1-i-f-Ja _µ Wl-1141{ -

-1
-36 -24 -12 0 12 24 36 48 60 72
Months relative to Criminal Reform

-36 -24 -12 0 12 24 36 48 60 72
Months relative to Criminal Reform
1st-Time Female Incarceration Rate

1

2

2nd-Time Female Incarceration Rate

Incarceration Rate

1.5

Female Incarceration Rate

Figure 5. Event Study Estimates of the Impact of the LACPR on Incarceration Rates

1

-

0 ~~

I

-_r r--=- ...T ff

-1
-2
-3
-4

I
I

11 1 1I I
l 111

-36 -24 -12 0 12 24 36 48 60 72
Months relative to Criminal Reform

2
0
-2
-4
-6
-36 -24 -12 0 12 24 36 48 60 72
Months relative to Criminal Reform

Figure 6. Event Study Estimates of the Impact of the LACPR on Prison Entries and Releases

-

Prison Entry Rate

1

I
I

-

.5

I
I

T

T

T

I

I

I

I
1
- - 1- - -

0

I

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-12

0

12
24
Months relative to Criminal Reform

36

1

T

Prison Release Rate

T

T

T

I

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I
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l
-24

T

T

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60

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l

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l

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0

12
24
Months relative to Criminal Reform

36

48

60

72

Figure 7. Pre-Trends of Socio-Economic, Institutional and Crime Controls prior to the LACPR

T

0

1
-.5

.6

1 - 1-

1

-1

0

I

-.4

1

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-.2

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0
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0
-.5

T

I

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T

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T

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1
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-.1

Forced Displacement Expulsion

1

T

T

I _ l _ l_ -L

-60
-48
-36
-24
-12
Months relative to Criminal Reform

-

I
1 1 l
1 1 1 1

-1

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T ....

.5

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0

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I I
1 1 1 1 l

-.5

T

l

-

T

-

1

-1

-60
-48
-36
-24
-12
Months relative to Criminal Reform

-60
-48
-36
-24
-12
Months relative to Criminal Reform

-60
-48
-36
-24
-12
Months relative to Criminal Reform

Percentage of Rural Population

Education Investment

Industry Tax Revenue

T

T

I

I

T
I

, --

T

I T

T

T

- -T- ,=-

1 1 1 1 1 1 1
-60
-48
-36
-24
-12
Months relative to Criminal Reform

1
.5
0
-.5

I

I

-

I

T
- 1- r+

T

1 1 1 1 1 1 1 1
-60
-48
-36
-24
-12
Months relative to Criminal Reform

Percentage Change

.1

I 1 1
1
1

0

T

Forced Displacement Reception
Percentage Change

0

T

.05

-60
-48
-36
-24
-12
Months relative to Criminal Reform

Percentage Change

Percentage Change
Percentage Change

T

I

I

---

-.2

Population Density
.1

I

.2

-60
-48
-36
-24
-12
Months relative to Criminal Reform

T T

-

.4

Percentage Change

T

Fiscal Performance

Percentage Change

.5

Crime Index per 100,000 Inhabitants
Percentage Change

Percentage Change

Arrest per 100,000 Inhabitants

.02

T

-

I T

.01
0
-.01
-.02

I

~

T

T

T

T

-

I

1 1
1 1
1
1
I

-60
-48
-36
-24
-12
Months relative to Criminal Reform

Table 1. Aggregated Difference-in-Difference and First-Difference Model Results
(1)
(2)
(3)
(4)
(5)
(6)
Convicted
First
Second
Ratio First
Admissions
Releases
Prison
Conviction Conviction Conviction/Second Convicted
Convicted
Population Population Population
Conviction
Population
Population
Panel A: Without Crime and Arrest Controls
LACPR
0.260***
0.199**
0.271**
-0.595
0.563***
0.460***
(0.0880)
(0.0988)
(0.117)
(1.047)
(0.163)
(0.153)

(7)
Convicted
Entries/Releases
0.196
(0.214)

Estimated Effect

30%

22%

31%

0%

75%

58%

0%

Observations
R-square

3,619
0.767

2,869
0.643

2,838
0.712

2,509
0.301

2,598
0.667

2,598
0.725

2,558
0.108

0.161**
(0.072)

0.170*
(0.0919)

0.243**
(0.111)

-0.663
(1.010)

0.595***
(0.185)

0.393**
(0.166)

0.225
(0.233)

Estimated Effect

18%

19%

28%

0%

81%

48%

0%

Observations
R-square

2,310
0.814

2,009
0.668

1,981
0.742

1,737
0.352

1,614
0.784

1,614
0.867

1,610
0.128

23
YES
YES

23
YES
YES

1.2
YES
YES

Panel B: Including Crime and Arrest Controls
LACPR

Mean T=0
140
87
67
4
YES
Month-Year FE
YES
YES
YES
Prison-Municipality FE
YES
YES
YES
YES
Cluster robust standard errors in parentheses
*** Significant at the 1 percent level; ** Significant at the 5 percent level; * Significant at the 10 percent level

Table 2. Difference-in-Difference and First-Difference Model Results by Sex
(1)
(2)
(3)
(4)

(5)

(6)

Convicted
Female
Population

Convicted
Male
Population

Female First
Conviction
Population

Male First
Conviction
Population

Female Second
Conviction
Population

Male Second
Conviction
Population

-0.316***
(0.103)

0.337***
(0.114)

-0.460***
(0.144)

0.297**
(0.126)

-0.447***
(0.0989)

0.234*
(0.119)

Estimated Effect

-27%

40%

-29%

35%

-36%

26%

Observations
R-square

2,020
0.852

2,020
0.808

2,873
0.698

2,869
0.740

2,838
0.732

2,838
0.729

-0.242**
(0.109)

0.276***
(0.092)

-0.340**
(0.137)

0.347***
(0.112)

-0.113
(0.071)

0.224**
(0.102)

Estimated Effect

-25%

32%

-29%

42%

0%

25%

Observations
R-square

1,795
0.868

1,795
0.812

2,013
0.746

2,009
0.799

1,981
0.707

1,981
0.770

YES
YES

YES
YES

YES
YES

Panel A: Without Crime and Arrest Controls
LACPR

Panel B: Including Crime and Arrest Controls
LACPR

Mean T=0
34
50
YES
Month-Year FE
YES
YES
Prison-Municipality FE
YES
YES
YES
Cluster robust standard errors in parentheses
*** Significant at the 1 percent level; ** Significant at the 5 percent level; * Significant at the 10 percent level

METHODOLOGICAL APPENDIX
Data notes
The data used in this article came from different sources at different unit levels, periodicity, and identification
numbers. The National Penitentiary Institution (INPEC) provided all dependent variables (stock of prison
population, entries, and releases from prison). The raw-data contained information at the prison-level
reported in June and December of every year between 2000 and 2015. For the admission and release
variables, the INPEC did not have reliable data between 2005 and 2008 for the total prison population. For
the convicted population the only information available was starting from 2008. To estimate the models using
the convicted entry-release information, I created a "proxy" variable of convicted entries and releases prior
to 2005. I used the total population entries and releases prior to 2005 and inputted those values to the
convicted set. To have an identifier or "key" that allowed me to merge the different datasets, I created a
unique prison id to input the Statistical-Administrative National Department (DANE). The DANE provided a
unique municipality id to facilitate merging datasets.32 Therefore, I aggregated the prison-level information at
the municipality level and maintained the periodicity to pair all datasets. Table A1 displays descriptive
statistics of the dependent variables by stage.
[TABLE A1 HERE]
I use data on reported crimes and arrests from the Colombian National Police. For both arrest and
crime data, the National Police reported the exact month and type of crime, as well as the municipality where
the offense occurred. Because of the internal conflict, the data excludes crimes committed as part of the war
going on in the country. To minimize systematic recording errors and misreporting, I only included homicides,

32

The DANE code eliminates the problem of differences in the way the municipalities are written, and avoids errors due to

similar names between two or more municipalities.

assaults, and thefts (muggings, to residences, to business, and to vehicles)33 (Martin and Legault 2005;
Pepper, Petrie, and Sullivan 2010). To construct the Crime Index, I aggregated crime by using a weighted
sum depending on the average sentence of each offense (Mejía, Ortega, and Ortiz 2015):
%

$
'
!"#$% '()%*!,#
= ∑ -&! ∗ "/0%!,#
1
"

$
'
where !"#$% '()%*!,#
represents aggregated crime in municipality # for period 0; "/0%!,#
is the number of

offenses 2 per 100,000 inhabitants that occur in municipality # for period 0; 3' is the average sentence length
in years for individuals convicted for offense 2; 3$ is the sum of 3' , which is 80 in this case. Table A2 shows
the construction of 3' and 3$ .
[TABLE A2 HERE]
The Center of Economic Studies (CEDE) from Universidad de Los Andes provided the
socioeconomic controls used. The public demographic information came from the DANE public datasets. The
DANE estimates the population-based in the 2005 Census (the latest by this time). Although a new census
took place in 2018, the data collected is not available yet. Both datasets contained municipality-level data
yearly. To control for these socioeconomic variables without sacrificing observations, I duplicated the annual
information in this set and matched it with the semesterly prison data. Table A3 presents the descriptive
statistics of the socioeconomic controls included in the models.
[TABLE A3 HERE]
To create the final dataset, I merged data from the different sources at the prison-municipality level
with a periodicity of six months (June and December) from 2000 to 2015. I grouped prisons located in the
same municipality, and crimes and arrests that happened from January to June and July to December in

33

The Colombian National Police refers to these crimes as high-impact crimes: those offenses that have the greater negative

social impact/cost. Other high-impact crimes for the Colombian case are terrorism, subversive acts and kidnappings.

each municipality.34 I used the annual socioeconomic and demographic variables for the observations in
June and December and merged it with the crime and arrest data using unique municipality identifiers. I
focused my analysis on 126 municipalities with prisons, and I matched crime, arrests, socioeconomic and
demographic variables to the closest "prison-municipality." For those cases in which one observation falls
within the intersection of two "prison-municipalities," I matched it with the municipality from the same judicial
district, if both "prison-municipalities" belong to the same judicial district I match it randomly to one of those
municipalities. The following equation represents the algorithm:
)

4#( 567( − 7% 9 + (<( − <% )) , ∀ ( = 1, … ,997; 3 = 1, … ,126 (1.A)
Placebo Tests
To provide further evidence that the effects shown in the regressions from tables 1 to 4 are indeed the result
of the implementation of the LACPR, I performed two falsification tests or placebo test.35 First, I assigned a
random date of entry to the reform to every judicial district. Using these new data and its respective exposure
time, I tested the effect of this artificial treatment on the convicted prison rates of interest. The results are
presented in table 5. As expected, the artificial treatment does not appear to have consistent significance
and similarities with the results shown above. The exposure time coefficient is significant and positive;
however, this does not raise any concern regarding the validity of the results since the main estimations did
not find a robust effect of this variable.
[TABLE A4 HERE]

34

&'()

!#,%,&'() = $*+&,(',-. !#,%,* , where !#,%,&'() is the number of offenses s that happened in municipality % recording under

June; !#,%,* is the number of offenses s that occur in municipality % in the month &.
35

In econometrics a placebo test is described as a “conceptual placebo”. It consists in repeating the analysis on a dataset where

no intervention took place.

Besides the randomization of the groups, I estimated an additional regression using the actual order the
LACPR implementation but for the pre-treatment period. The third and fourth columns of table 6 confirm that
this artificial treatment did not have any significant effect either. These results suggest that the effects found
in the main estimations are capturing the LACPR impact in incarceration rates, in lieu of a spurious or
concurrent phenomenon.
[TABLE A5 HERE]

Table A1. Descriptive Statistics of the Dependent Variables by Stages (2000-2015) *
Variable
Stage
N
Mean
Std. Dev.
Min
Stage 1
524
241
328.73
Stage 2
1032
317
759.04
Stage 3
1867
181
437.93
Conviction Rate
Stage 4
703
61
63.12
Total
4126
202
502.24
Stage 1
385
44
40.28
Stage 2
780
55
144.62
Stage 3
1408
43
87.86
Entry Rate
Stage 4
530
16
18.78
Total
3103
41
95.76
Stage 1
Stage 2
Release Rate
Stage 3
Stage 4
Total
Stage 1
Stage 2
Stage 3
Male Conviction Rate
Stage 4
Total
Stage 1
Stage 2
Stage 3
Female Conviction Rate
Stage 4
Total
*Rates calculated by 100,000 residents

385
780
1408
530
3103
263
505
913
343
2024
263
505
913
343
2024

40
45
37
15
36
266
283
167
61
191
30
31
22
16
24

Table A2. Crime Index Weight Parameters
Min.
Max
Offenses
p*
Sentence*
Sentence*
Homicide
17
37
27
Assaults
1
15
8
Muggings
1
16
9
Business Robberies
2
28
15
Home Burglaries
6
14
10
Vehicle Thefts
7
15
11
*Calculated using the Colombian Penal Code by June 2017

30.33
87.63
66.92
14.25
64.84
384.53
642.94
418.12
59.41
455.57
56.88
96.40
42.15
29.15
60.91

p*
P+
0.34
0.10
0.11
0.19
0.12
0.14

0
0
0
0
0
0
0
0
0
0

Max
2410
5493
4040
356
5493
228
2573
985
256
2573

0
0
0
0
0
0
0
0
0
0
0
0
0
0
0

160
1253
846
86
1253
2410
4007
4040
300
4040
370
976
279
160
976

Table A3. Descriptive Statistics of the Cofounding and Control Variables by Stages (2000-2015)*
Variable
Stage
N
Mean
Std. Dev. Min
Max
Variable
Stage
N
Mean
Std. Dev
Min
Max
Stage 1
411 121.93
109.97
9.59
628.28
Stage 1
524
388.03
862.26 29.64 4064.94
Stage 2
858 102.74
88.65
0.00
740.86
Stage 2
1061
234.70
567.40 19.18 3453.85
Population
Arrest Rate Stage 3
1375
96.00
86.83
2.93
711.14
Stage 3
1771
75.28
75.30
0.57
401.44
Density
Stage 4
600
73.51
58.75
9.74
339.70
Stage 4
770
209.11
504.60
1.86 2298.32
Total
3244
96.91
87.33
0.00
740.86
Total
4126
180.97
487.88
0.57 4064.94
Stage 1
411
30.84
15.72
5.59
72.85
Stage 1
524
706.68
1736.18
3.00
21457
Stage 2
858
29.69
16.76
0.00
88.68 Displaced Stage 2
1061 1290.64
3809.75
0.00
49615
Crime Index
Stage 3
1375
22.08
16.61
0.00
100.05 Population Stage 3
1771 2970.33
4770.19
0.00
34519
Rate
Expelled
Stage 4
600
22.03
14.12
2.83
92.37
Stage 4
770 6854.12
9117.77
0.00
74989
Total
3244
25.19
16.57
0.00
100.05
Total
4126 2975.72
5793.63
0.00
74989
Stage 1
524
0.89
0.83
0.00
3.08
Stage 1
524 2771.51
8034.25
0.00
52304
Stage 2
1061
0.99
1.01
0.03
4.82 Displaced Stage 2
1061 2137.46
5605.11
0.00
45928
Rural Index Stage 3
1771
1.42
1.17
0.09
6.91 Population Stage 3
1771 2296.12
3396.49
9.00
26193
Arrival
Stage 4
770
0.69
0.44
0.02
2.28
Stage 4
770 6252.08
7340.77
0.00
45219
Total
4126
1.11
1.03
0.00
6.91
Total
4126 2975.72
5793.63
0.00
74989
Stage 1
524
0.03
0.06
0.00
0.35
Stage 1
440
0.73
0.06
0.59
0.85
Investment Stage 2
1061
0.04
0.09
0.00
0.88
Stage 2
787
0.72
0.08
0.58
0.89
in Education Stage 3
Land Gini
1771
0.02
0.03
0.00
0.26
Stage 3
1206
0.71
0.07
0.42
0.85
Per Capita Stage 4
770
0.02
0.03
0.00
0.29
Stage 4
627
0.67
0.06
0.44
0.85
Total
4126
0.03
0.06
0.00
0.88
Total
3060
0.71
0.07
0.42
0.89
Stage 1
311
0.03
0.06
0.00
0.34
Stage 1
468
61.87
7.32 46.02
84.02
Tax
623
0.05
0.09
0.00
0.83
Stage 2
925
62.67
7.41 27.08
86.65
Revenues Stage 2
Fiscal
from Industry Stage 3
992
0.03
0.03
0.00
0.24
Stage 3
1553
60.47
6.72 35.75
80.93
Performance
and
Stage 4
426
0.02
0.03
0.00
0.22
Stage 4
673
58.90
7.47 23.70
80.70
Business
Total
2352
0.03
0.06
0.00
0.83
Total
3619
60.92
7.24 23.70
86.65
*Rates calculated by 100,000 residents

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