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The University of New Haven
Department of
Economics
Special studies series no. 1604
Department Special Studies Series are preliminary materials circulated to stimulate discussion and critical comment. The analyses and conclusions set forth are those of the authors and do not necessarily reflect the views of other members of the Department, the College of Business, the University of New Haven or its Board of Governors. Upon request, single copies of the paper will be provided. References in publications to Department Special Studies Series should be cleared with the Individual author to protect the tentative character of these papers.
An examination of possible unintended
effects of drone activity in Pakistan
Kevin Lauber
May, 2016
AN EXAMINATION OF POSSIBLE
UNINTENDED EFFECTS OF DRONE
ACTIVITY IN PAKISTAN
Kevin Lauber*
Abstract
The US drone program in Pakistan started in 2004 in order to counter
Pakistani insurgent militant activity in Pakistan. The program has been
both criticized and hailed extensively in the years since it began. To fully
appraise the pros and cons of the program, it is important to establish
whether the drone strike activity has had any secondary impacts, especially
unintended ones. It is distinctly possible that the use of unmanned aerial
vehicles depress regional economic activity and thereby contribute to an
environment of deprivation and uncertainty. The resulting bleak
circumstances could perhaps foster more insurgent activity. In this paper
we examine whether drone strike activity has had an impact on the economic
circumstances in Pakistan. Specifically, we construct an Economic Misery
Index to account for economic circumstances. We specifically test the
hypothesis of a relationship between drone-strike activity and the Economic
Misery Index. We carefully account for possible endogeneity between
drone-strikes activity and economic circumstances.
Based on available applicable data collected for the region we find
statistically significant support for the hypothesis. The results should be
interpreted with caution; still, they remain suggestive of a productive line of
inquiry ahead.
May 2016
* Department of Economics, University of New Haven; Email: [email protected]
Page 2 of 25
Introduction
In 2004, Pervez Musharraf, Pakistan’s President, gave the approval of
the use of drones in Waziristan, Pakistan as terrorism and violence
spread uncontrollably throughout the region (Coll, 2014). A drone, or
Unmanned Aerial Vehicle (UAV), is a remoted piloted aircraft used
by the U.S. military and intelligence agencies to conduct intelligence,
surveillance, and reconnaissance purposes (ISR); and for combat
operations (Callam, 2010). Its primary objective in Pakistan’s
Federally Administered Tribal Areas (FATA) is to counter terrorist
militant activity in the region with surveillance and airstrikes (Callam,
2010).
There is a level of discretion by certain authorities over what
constitutes terrorism. Since the mid-19th century, it seems to have
been a fluid concept as one seeks a standard for accurate classification
(Whitaker, 2001). Even the U.N has had problems coming to a
consensus. (Schmid, 2004).
The Central Intelligence Agency and the United States Department of
State share a consensus on the definition of terrorism as it is defined
in the Code of Laws of the United States of America. For the purpose
of continuity as we examine drone strikes conducted by the Central
Intelligence Agency, this paper recognizes these parameters for
terrorism as well. Taken from Title 22 of the US Code, Section
2656f(d):
Page 3 of 25
The term "terrorism" means premeditated, politically motivated
violence perpetrated against noncombatant targets by subnational
groups or clandestine agents (Congress)
The program has been both criticized and hailed by terrorism and
intelligence experts alike. Critics believe it has unintended
consequences prompting terrorism to continue to exist and perhaps
even thrive. Studies on the matter have shown a positive change in
terrorist attacks immediately following manned air strikes and shows
of force in areas like Afghanistan (Lyall, 2014), while other evidence
suggests unmanned drones have a mitigating effect on terrorist
activities in Pakistan, Afghanistan’s neighboring country (Johnston
and Sarbahi, 2014). The results vary from circumstance to
circumstance.
In World War I, trench warfare retained remnants of dated Napoleonic
tactics outfitted with modern weapons. The result was extremely
bloody and sometimes reckless disregard for casualties. Today, we
face the same challenges as advances in technology allow for us to
conduct warfare in ways never previously thought possible. It is
important to ensure that history does not repeat itself and to account
for all consequences of such a tool of warfare which even today is still
in its infancy. This paper attempts to examine whether drone strikes
have an active impact on the economic environment and speculate as
to the likely consequences. The costs of war and the effectiveness of
Page 4 of 25
our tactics cannot be quantified in the same ways as they used to.
Studies have concluded terrorism to be related to economic instability
(Choi, 2014), and perhaps we can identify the effects of US Drone
strikes on economic stability and thusly on terrorism in the area.
Given the relevance and sensitivity around the issue of drone strikes,
it is important to clarify the scope of this study. This paper
hypothesizes drone strikes to contribute to economic stagnation in
Pakistan. This may be an indicator that the use of unmanned aerial
vehicles does have unintended consequences, fostering an
environment in which terrorism continues to occur. With so many
variables and with the classified nature of these operations, conclusive
analysis with accurate and unbiased data is all but impossible. Years
of study is needed to come to consensus on whether drone strikes are
being employed properly today, so that we can be a more effective
global force for the future.
The paper does not address the moral questions surrounding the drone
program. Nor does it address the broader questions regarding the
soundness of American military involvement in a foreign country.
These are important questions for further work. Still, an important
objective of this study is to address the effectiveness of the drone
program in a narrow field – which has ready implications for broader
morality of the initiative.
Page 5 of 25
Review of the Literature
With every new study analyzing airstrike data comes more questions
than answers. Jason Lyall’s (2015) analysis on bombings in
Afghanistan concludes that, within 90 days of an airstrike, instances
of terrorism in an area increase in relation to before the airstrike, and
in relation to areas where an airstrike did not occur. Furthermore, he
concludes that civilian casualties are not the major explanatory factor.
This is in contrast to Johnston and Sarbahi’s (2014) Pakistan
conclusion that unmanned drone strikes play a role in mitigating
terrorism. The obvious differences here are the locations (Pakistan
versus Afghanistan), and manned versus unmanned methods of aerial
bombings. Jaeger and Siddique’s (2011) study analyzed drone strikes
in Pakistan and monitored the weeks following a drone strike for
terrorist activity. They found a decrease in terrorist activity following
unsuccessful drone strikes (strikes that did not kill a high value
leadership target) but a strong positive impact on terrorist activity
following successful drone strikes. This indicates what they call a
“vengeance effect,” and that drone strikes have a strong deterrent
effect, but when a strike is thought to incapacitate through elimination
of leadership, it has quite the opposite effect (Jaeger and Siddique,
2011).
This paper seeks to determine whether there are any economic
impacts as a result of drone strikes in the area. Choi (2014) finds that
positive economic indicators are “are less disposed to domestic and
Page 6 of 25
international terrorist events, but are more likely to experience suicide
attacks.” Here, we see one type of attack decreasing while another
increases. The variables multiply.
The drone strike data used in this paper will be from the gatherings of
the Bureau of Investigative Journalism. There are other sources which
offer conflicting data, however. The Long War Journal, and The New
America Foundation have their own compiled drone strike casualty
data (Data Team, 2015). They seem to be closely correlated in the
total number of drone strikes and total casualties, but their reports on
civilian casualties vary greatly. This is testament to the elusive nature
of reliable data in one of the world’s most dangerous and elusive
frontiers.
Empirical Model
To test the proposed hypothesis we rely on a linear multiple regression
model:
Y = β0 + β1X1 + β2X2 + μ (1)
Where Y is the dependent variable – the Economic Misery Index, X1
is the explanatory variable, drone strikes, and X2 is another control
variable, in this case, a Corruption indicator; the last term is an error
term (μ).
Page 7 of 25
Under appropriate conditions, we anticipate an inverse relationship
between drone-strike activity and the economic misery index (created
for the purpose of this study). However, it is conceivable that there
exists endogeneity in the formulation of the above model. While there
may be an impact of drone strike activity on the regional economic
environment, there may simultaneously arise a reverse effect;
specifically, an effect proceeding from declining economic activity to
drone strikes. Again, to the extent that the thesis advanced here is
correct, it would follow that a depressed economic environment may
foster the conditions leading or compelling individuals or groups
towards enhanced terrorist activity, thereby increasing retaliatory
drone strikes.
In the presence of endogeneity, Ordinary Least Squares is known to
result in biased and inconsistent parameter estimates. The problem
may be addressed with suitable instrumental variables.
If there a set of variables Z correlated with X but not correlated with
the error term μ so that E(Z,μ) ≠ 0 and E(Z,X) = 0 then the variables
are called instrumental variables. A class of instrumental variable
methods can then be used to consistently estimate the impact of X on
Y. Preferably, the Z variables should be as highly linearly correlated
as possible with the X variable. Modest correlations between Z and X
result in weak instruments; we will have more to say on these below
(Murray, 2006).
Page 8 of 25
Constructed Instruments
The fundamental idea in constructing an instrument is to modify the
available endogenous variable in a manner that retains the signal or
pattern present in the data but leaves out some portion of noise so as
to reduce the endogeneity with the error term. A Wald-type grouping
variable is used here as a constructed estimator.
Wald described a method that did not make an assumption about the
error structure (Wald, 1940). Theil suggests two variants (Theil,
1971). Both approaches first order the observed pair (x,y) sorted on
the values of x, then divide the observations into a specific number of
groups. We examine two variants of Wald’s grouping method.
Wald’s grouping method is equivalent to using the following
instrumental variable:
ZWald 1 = {
1 𝑖𝑓 𝑥 > 𝑚𝑒𝑑𝑖𝑎𝑛(𝑥1, 𝑥2, . . . , 𝑥𝑛)
−1 𝑖𝑓 𝑥 < 𝑚𝑒𝑑𝑖𝑎𝑛(𝑥1, 𝑥2, … , 𝑥𝑛)
0 𝑜𝑡ℎ𝑒𝑟𝑤𝑖𝑠𝑒
Bartlett’s variant of Wald’s grouping method is equivalent to the
following (Bartlett, 1949):
Page 9 of 25
ZWald 2 = {
1 𝑓𝑜𝑟 𝑡ℎ𝑒 𝑙𝑎𝑟𝑔𝑒𝑠𝑡𝑁
3 𝑜𝑏𝑠𝑒𝑟𝑣𝑎𝑡𝑖𝑜𝑛𝑠
−1 𝑓𝑜𝑟 𝑡ℎ𝑒 𝑠𝑚𝑎𝑙𝑙𝑒𝑠𝑡𝑁
3 𝑜𝑏𝑠𝑒𝑟𝑣𝑎𝑡𝑖𝑜𝑛𝑠
0 𝑜𝑡ℎ𝑒𝑟𝑤𝑖𝑠𝑒
Data
The statistics regarding US drone strikes was extracted from the
Bureau of Investigative Journalism, a non-profit, philanthropically
funded news agency based in London. The covert drone war is one of
their major investigations. The data reveals the beginning of the drone
strike strategy in 2004 with strikes totaling less than ten in each of the
years 2004, 2005, 2006, and 2007 respectively. Strikes increased
dramatically from five in 2007 to 38 in 2008. The data shows a
continued increase to 128 total strikes in 2010 before a steady
decrease to 2016 where the observable data ends. (Bureau of
Investigative Journalism, 2016)
Pakistan’s economic data comes from the World Bank, a multilateral
organization based in Washington DC dedicated to ending extreme
world poverty and promoting shared prosperity. The data shows a
positive and steady increase in drone activity from 2004 until 2008. It
also displays a point of inflection from 2008 to 2009.
To represent the “economic environment” we construct an economic
misery index. The index is a sum of the normalized value of each of
three economic variables. The variables were normalized using the
following method, for each Xi:
Page 10 of 25
Xi_norm = (X – Xmin)/(Xmax – Xmin)
Where i = 1, 2, 3
ECON Index = Σ (X1 + X2 + X3)*100
The index is a equally-weighted average of the following three
economic variables: Unemployment Rate, GDP per capita, the
change in the volume of exports of goods and services.
We use Gross Domestic Product per capita as a measure of economic
performance. Pakistan’s GDP and GDP per capita experienced
negative growth before correcting in 2010 and returning to its original
rate of growth from 2011 onward (World Bank, 2016). A graphical
representation shows an apparent correlation between drone strikes
and GDP per capita. Correlation does not constitute causality,
however. Other factors must be observed.
An annual variable representing the degree of corruption is obtained
from Transparency International Global Corruption Barometer
Survey available online at the World Bank’s Governance Indicators
Database. Data encompass years: 2004:2014. Estimates of
corruption for 2015 and 2016 were obtained from a linear projection
of existing data (World Bank, 2016)
Page 11 of 25
The period examined here witnessed the global recession. A dummy
variable is included in the regression to account for any independent
impact of the recession on the effects measured, whereas the years in
which the global recession was present is represented with a
numerical value of 1, and the years in which the recession was not
present, 0.
The formal model is an instrumental variables regression of the
Economic Misery Index on Drone Strikes and Corruption Index over
the period 2004-2016. As appropriate instruments for the Drone
Strike Activity variable we rely on the constructed instrument (Wald
or Bartlett) as well as the Corruption Index and the Recession
Dummy.
GRAPHS
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Results
Page 13 of 25
The results of an ordinary least squares of the multiple regression
model as well as the results of the instrumental variable procedure are
reported here.
Multiple Regression Results
==========================================
Dependent variable:
---------------------------
econindex
-----------------------------------------------
strikes -0.162
(0.179)
corruption 0.453
(0.999)
recession -0.260*
(0.136)
Constant 0.301
(0.507)
-----------------------------------------------
Observations 13
R2 0.519
Adjusted R2 0.359
Residual Std. Error 0.125 (df = 9)
F Statistic 3.243* (df = 3; 9)
==========================================
Note: *p<0.1; **p<0.05; ***p<0.01
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As expected, the results provided by ordinary least squared are biased
an unreliable.
IV Regression Results
================================================
Dependent variable:
----------------------------
econindex
(Wald) (Bartlett)
----------------------------------------------------------
strikes -0.408* -0.535**
(0.200) (0.217)
corruption -1.004 -1.337
(0.863) (0.919)
Constant 1.034** 1.228**
(0.455) (0.486)
----------------------------------------------------------
Observations 13 13
R2 0.318 0.247
Adjusted R2 0.182 0.096
Res Std. Error (df = 10)
0.142 0.149
================================================
Note: *p<0.1; **p<0.05; ***p<0.01
The results of the instrumental variable algorithm are reported above.
The column labeled Wald reflects the use of the Wald version of the
constructed estimator. The column labeled Bartlett reflects the
Bartlett version of the constructed estimator.
Page 15 of 25
The results are startling, revealing a highly significant relationship
between drone activity and the Economic Misery Index.
Concluding Comments and Further Work
The empirical results suggest a statistically significant relationship
between drone-strike activity and the economic misery index once
we account for the possible endogeneity between drone-strikes and
the economic misery index. However, while supportive of the
general thesis advanced here, the results should be interpreted with
caution. There are multiple variables left unexamined and numerous
avenues of causality. Importantly, the thesis might be incorrect and
the results reported here are picking up spurious results.
A more complete model would acknowledge other variables.
Variables, ranging from the largesse of foreign sympathizers to the
intensity of domestic military efforts, to the incidence of corruption,
to the effectiveness of government programs acting as bulwarks to
terrorist activity, to education variables, and others.
An obvious limitation with the data is that of the small numbers bias,
whereas the unavailability of a large number of observations can
give inaccurate results. Unfortunately, we are limited only to the
data available to us. While there does exist monthly data for drone
Page 16 of 25
strikes, Pakistan’s economic data is only available yearly. This gives
us only 12 observations between 2004 and 2016. For this reason, the
results of this thesis should be approached with caution, as
previously mentioned. Nevertheless, the model shows positive
results, and thusly an implication that further research into this study
is needed as time allows for more observation.
When approaching an analysis of the data, it is also important to
understand that the instances of drone strikes are restricted to a
particular region, and the economic data is that of the entire nation
as a whole. However, the results suggest an economic spillover
effect of the regional drone activity into the rest of the nation.
Speculatively, this is perhaps due to apprehension of potential
foreign investors, or the emigration of wealth from Pakistan itself.
Political instability and surreptitious warfare may dramatically
heighten risk for individuals and businesses seeking a community in
which to invest. Again, this is speculative, but the intention of this
study is to shed light on the possibilities of these effects occurring.
Policy implications
There are significant policy implications in this field of study. The
United States drone policy in Pakistan and in other areas is in effect
specifically to deter the insurgency of militant groups who intend to
inflict harm upon surrounding communities and around the world.
Their ability to operate being dependent on a stagnant local and
Page 17 of 25
national economy is highly suggestable. If drone strikes have a
significant enough impact on the economy such that it provides the
conditions in which militant activity can continue and even thrive,
then the whole purpose of the United States covert drone policy is
thereby defeated. A new or perhaps altered approach may be
required.
References
Bound, J., Jaeger, D. A., & Baker, R. M. (1995). Problems with
instrumental variables estimation when the correlation
between the instruments and the endogenous explanatory
variable is weak. Journal of the American statistical
association, 90(430), 443-450.
Bureau of Investigative Journalism (2016). CIA Drone Strikes in
Pakistan, 2004 to Present [Data File]. Retrieved from
https://www.thebureauinvestigates.com/category/projects/dro
nes/drones-graphs/
Page 18 of 25
Callam, A. (2010). Drone Wars: Armed Unmanned Aerial Vehicles.
International Affairs Review. Retrieved from http://www.iar-
gwu.org/node/144
Choi, S. W. (2015). Economic growth and terrorism: domestic,
international, and suicide. Oxford Economic Papers, 67(1),
157-181.
Coll, S. (2014). The Unblinking Stare. The New Yorker. Retrieved
from
http://www.newyorker.com/magazine/2014/11/24/unblinking
-stare
Congress (2013). 22 U.S. Code § 2656f - Annual Country Reports
on Terrorism. Ithaca, New York: Cornell Law School.
Data Team (2015). Drone Strikes: Cause or Effect. The Economist.
Retrieved from
http://www.economist.com/blogs/graphicdetail/2015/09/dail
y-chart-drone-attacks-and-terrorism-pakistan
Johnston, P. B., & Sarbahi, A. (2012). The impact of US Drone
Strikes on Terrorism in Pakistan. Santa Monica, California:
Rand Corporation.
Lyall, J. (2014) Bombing to Lose? Airpower and the Dynamics of
Violence in Counterinsurgency Wars. New Haven, CT: Yale
University.
Murray, M. P. (2006). Avoiding invalid instruments and coping with
weak instruments. The journal of economic perspectives,
20(4), 111-132
World Bank (2016). World Development Indicators [Data File].
Retrieved from http://data.worldbank.org/country/pakistan.
Page 19 of 25
Schmid, A., A. (2004) Terrorism – The Definitional Problem. Case
Western Reserve Journal of International Law. 36 (2)
Whitaker, B. (2001). The Definition of Terrorism. The Guardian.
Retrieved from
http://www.theguardian.com/world/2001/may/07/terrorism.
Page 20 of 25
Appendix
Descriptive Statistics
====================================================
Statistic N Mean St. Dev. Min Max
----------------------------------------------------
unemp 13 6.2 0.8 5.2 7.7
gdppercap 13 51,919.9 3,370.6 44,717 57,465
change.exports 13 4.2 4.9 -2.4 16.5
corruption 13 0.5 0.1 0.4 0.6
Wald 13 0.0 1.0 -1 1
Bartlett 13 0.0 0.8 -1 1
strikes 13 32.5 37.3 1 128
recession 13 0.0 1.0 0 1
----------------------------------------------------
Diagnostic Tests
Diagnostic tests:
df1 df2 statistic p-value
Weak instruments 2 9 7.852 0.0106 *
Wu-Hausman 1 9 2.250 0.1679
Sargan 1 NA 1.447 0.2290
---
Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’
1
A weak instrument is one with a low correlation with the
endogenous explanatory variable. This could result in a coefficient
with a much larger variance, and thusly severe finite-sample bias.
"The cure can be worse than the disease" (Bound, Jaeger, Baker,
1993/1995). For our model the null is rejected, so we can move
Page 21 of 25
forward with the assumption that the instruments are sufficiently
strong.
A Wu-Hausman test is one which tests whether the Instrumental
Variable is as consistent as OLS, and since OLS is more efficient, it
would be preferable. The null hypothesis is that they are equally
consistent; in this output, Wu-Hausman is significant at slightly
more than the p =0.1 level.
The Sargan Test tests whether the model is overidentified, meaning
there is more than one instrument per endogenous variable, and
thusly some excess information. In order for the inferences to be
correct, all of the instruments must be valid. Simply put, the Sargan
Test tests whether exogenous instruments are in fact exogenous, and
uncorrelated with the model residuals. If it is significant, then we do
not have valid instruments (somewhere in there, as this is a global
test). In this case, this isn't a concern.
Page 22 of 25
This is a copy of the code used to obtain the result reported here.
# Kevin Lauber
#
# Thesis code/ Spring 2016
#
# UNH Economics
#
########## ##############################
#
remove(list =ls()) # tidy-up
#set working directory
dir()
# Input data
drone = read.csv("kevin.csv", header = TRUE, stringsAsFactors = FALSE)
str(drone)
View(drone)
names(drone)
drone$strikes = drone$CIA.Drone.Strikes
attach(drone)
# Initialize libraries
library(forecast) # for the Time Series
library(lmtest) # for Granger Causality
library(urca) # Dickey Fuller Tests
library(AER) # for instrumental variables regression
library(stargazer) # for printing output properly formatted
drone
names(drone)
## Plots
strikes = ts(strikes, c(2004))
unemp = ts(unemp, c(2004))
change.exports= ts(change.exports, c(2004))
gdppercap = ts(gdppercap, c(2004))
corruption = ts(corruption, c(2004))
Page 23 of 25
plot.ts(strikes)
plot.ts(unemp)
plot.ts(corruption)
# Plot two series
par(new = F)
plot(strikes, type='l', xlab='Year', ylab='strikes/unemp', col ="red")
par(new=T)
plot(unemp, type='o', xlab='', ylab='', axes=F)
par(new=F)
# Normalize the data and create Econ Index
normalize = function(x) {
temp = ((x -min(x))/(max(x) - min(x)))
return(temp)
}
names(drone)
drone_norm = lapply(drone[,2:6], normalize)
drone_norm = as.data.frame(drone_norm) #convert
strikes = drone_norm$CIA.Drone.Strikes
summary(strikes);
### Create Economic Index
# The index is the equally-weighted average of the normalized economic
variables.
names(drone)
attach(drone_norm)
econindex =
(drone_norm$unemp+drone_norm$gdppercap+drone_norm$change.export
s)/3
econindex = ts(econindex, c(2004))
Page 24 of 25
plot.ts(econindex)
plot.ts(strikes)
par(new = F)
plot(strikes, type='l', xlab='Year', ylab='Strikes/Econ Index', col
="red")
par(new=T)
plot(econindex, type='o', xlab='', ylab='', axes=F)
par(new=F)
################ Multivariate Regression
model_mvr_1 = lm(econindex ~ strikes + corruption+recession)
summary(model_mvr_1)
### Outputting Multivariate Regression Results
stargazer(model_mvr_1, type = "text", out="mvrreg.txt",
title="Multivariate Regression Results")
## Accounting for Endogeneity Using IV Reg package
Model_1_IVreg = ivreg(econindex~strikes + corruption| Wald+
corruption +recession)
summary(Model_1_IVreg, vcov = sandwich, diganostics =TRUE)
Model_2_IVreg = ivreg(econindex~strikes + corruption|
Bartlett+corruption+recession)
summary(Model_2_IVreg, diagnostics = TRUE)
### Outputting Instrumental Variables Results
Page 25 of 25
stargazer(Model_1_IVreg, Model_2_IVreg, type = "text",
out="ivreg.txt", title="IV Regression Results")
### Printing Summary Stats
stargazer(drone, type = "text", title = "Descriptive Statistics",
digits = 1, out = "table1.txt")
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____________________________________________________
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The series editor is Professor Esin Cakan. You may contact her via email at [email protected] write to her at:
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The Department Senior Thesis Series is administered by the Editor, Esin Cakan and benefits from thecommentary and direction of its board members: Professors A.E. Rodriguez and Kamal Upadhyaya.