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Kezia	
  E	
  Dinelt	
  
UC	
  SAN	
  DIEGO	
  |	
  IRGN	
  490:	
  GIS	
  &	
  SPATIAL	
  DATA	
  ANALYSIS	
  
PROFESSOR	
  GORDON	
  MCCORD	
  
DECEMBER	
  17,	
  2014	
  
Spatial	
  Analysis	
  of	
  
Mexican	
  Homicides	
  
and	
  Proximity	
  to	
  
the	
  U.S.	
  Border	
  
DOES	
  PROXIMITY	
  TO	
  THE	
  U.S.	
  BORDER	
  RESULT	
  IN	
  MORE	
  
HOMICIDES	
  DUE	
  TO	
  HIGHER	
  LEVELS	
  OF	
  DRUG	
  TRAFFICKING	
  
FROM	
  MEXICO	
  TO	
  THE	
  UNITED	
  STATES?	
  
	
  
	
   	
  
Introduction	
  
	
   There	
   has	
   been	
   substantial	
   research	
   done	
   in	
   recent	
   years	
   to	
   understand	
   the	
  
worsening	
  situation	
  in	
  Mexico	
  in	
  regards	
  to	
  homicides	
  presumably	
  due	
  to	
  drug	
  trafficking	
  
organization	
   (DTO)	
   violence.	
   In	
   2006,	
   Mexico's	
   president,	
   Felipe	
   Calderón	
   initiated	
   a	
  
crackdown	
   against	
   DTOs,	
   causing	
   intense	
   backlash	
   throughout	
   the	
   country,	
   resulting	
   in	
  
increased	
  violence	
  instead	
  of	
  a	
  desired	
  decrease	
  in	
  overall	
  violence.	
  It	
  was	
  reported	
  in	
  July	
  
of	
   2010	
   that	
   upwards	
   of	
   28,000	
   people	
   had	
   died	
   as	
   a	
   result	
   of	
   drug-­‐‑trafficking	
   violence	
  
since	
  2006.1	
  The	
  United	
  States	
  has	
  tried	
  to	
  support	
  Mexico's	
  efforts	
  through	
  the	
  Mérida	
  
Initiative,	
  through	
  $1.4	
  billion	
  of	
  assistance	
  in	
  the	
  form	
  of	
  equipment,	
  training,	
  and	
  other	
  
means	
  from	
  2008	
  to	
  2012.2	
  This	
  situation	
  that	
  persists	
  today	
  is	
  interesting	
  because	
  Mexico	
  
88𝑡ℎ	
  in	
  the	
  world	
  for	
  GDP	
  per	
  capita3	
  but	
  could	
  potentially	
  achieve	
  much	
  more	
  through	
  
increased	
  tourism	
  and	
  FDI,	
  however	
  the	
  violence	
  seen	
  in	
  Mexico	
  has	
  been	
  known	
  to	
  cause	
  
decreases	
  in	
  both.	
  The	
  GDP	
  ranking	
  is	
  a	
  reflection	
  of	
  the	
  problem	
  that	
  has	
  been	
  unfolding	
  in	
  
Mexico	
  over	
  the	
  past	
  eight	
  years.	
  	
  
Hypothesis	
  
	
   Because	
  the	
  U.S.	
  is	
  a	
  large	
  market	
  for	
  drugs	
  coming	
  from	
  Mexico,	
  and	
  it	
  is	
  a	
  very	
  
lucrative	
   business,	
   there	
   is	
   money	
   to	
   be	
   made	
   by	
   pushing	
   drugs	
   across	
   the	
   border.	
  
Although	
   border	
   patrol	
   and	
   police	
   create	
   the	
   possibility	
   of	
   getting	
   caught,	
   this	
   does	
   not	
  
deter	
   the	
   DTO	
   members;	
   one	
   can	
   assume	
   those	
   who	
   earn	
   a	
   living	
   from	
   smuggling	
   or	
  
transporting	
   drugs	
   weigh	
   such	
   risks	
   less	
   heavily	
   than	
   the	
   benefits	
   received	
   from	
  
completing	
  the	
  transactions.	
  Therefore,	
  patches	
  of	
  drug-­‐‑related	
  murders	
  can	
  be	
  expected	
  to	
  
be	
  prevalent	
  closer	
  to	
  the	
  border	
  than	
  further	
  from	
  these	
  points	
  of	
  entry.	
  Furthermore,	
  one	
  
can	
  expect	
  there	
  to	
  be	
  substantial	
  U.S.	
  pressure	
  at	
  border	
  crossings	
  in	
  an	
  effort	
  to	
  thwart	
  
trafficking	
  operations,	
  increasing	
  the	
  number	
  of	
  homicides	
  that	
  occur	
  at	
  or	
  very	
  near	
  to	
  the	
  
border	
  points	
  of	
  entry	
  from	
  increased	
  security,	
  especially	
  since	
  9/11.	
  	
  
	
   To	
  investigate	
  the	
  relationship	
  between	
  DTO	
  homicides	
  and	
  distance	
  from	
  border	
  
crossings,	
  population	
  density	
  is	
  important	
  to	
  control	
  for	
  since	
  there	
  is	
  a	
  disparity	
  between	
  
the	
  sizes	
  and	
  populations	
  within	
  each	
  municipality.	
  Inequality	
  also	
  plays	
  a	
  role,	
  which	
  is	
  
controlled	
  for	
  by	
  a	
  municipal-­‐‑level	
  Gini	
  Coefficient.	
  GDP	
  broken	
  down	
  at	
  this	
  level	
  would	
  be	
  
of	
  great	
  interest	
  since	
  one	
  would	
  expect	
  lower	
  levels	
  of	
  crime	
  as	
  GDP	
  increases,	
  but	
  it	
  is	
  
unavailable	
  at	
  this	
  time,	
  so	
  the	
  Gini	
  provides	
  a	
  similar	
  analysis.	
  Homicides	
  are	
  reported	
  as	
  
DTO	
  murders	
  per	
  100,000	
  people	
  to	
  normalize	
  for	
  the	
  population	
  densities	
  throughout	
  the	
  
country.	
  	
  
	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  
1
	
  Congressional	
  Research	
  Services	
  
2
	
  Astorga	
  and	
  Shirk	
  (2010)	
  
3
	
  CIA	
  Factbook	
  
Data	
  and	
  Methodology	
  
	
   To	
  look	
  at	
  the	
  relationship	
  between	
  DTO	
  homicides	
  and	
  distance	
  from	
  U.S.	
  border	
  
entries	
  for	
  2010,	
  several	
  shapefiles	
  were	
  uploaded.	
  Those	
  include	
  shapefiles	
  for	
  national	
  
boundaries,	
  Mexican	
  states	
  and	
  municipalities,	
  drug-­‐‑related	
  murders	
  available	
  from	
  2010,	
  
an	
  ocean	
  layer	
  as	
  well	
  as	
  world	
  cities.	
  	
  These	
  layers	
  were	
  all	
  projected	
  to	
  North	
  American	
  
Equidistant	
  Conic	
  since	
  the	
  region	
  of	
  interest	
  is	
  in	
  North	
  America,	
  and	
  because	
  distance	
  is	
  
measured	
   from	
   border	
   points,	
   having	
   the	
   equidistant	
   conic	
   projection	
   best	
   suits	
   this	
  
calculation.	
   To	
   look	
   only	
   at	
   points	
   of	
   entry	
   at	
   the	
   border,	
   a	
   layer	
   was	
   created	
   from	
   a	
  
selection	
   of	
   cities	
   from	
   the	
   shapefile.	
   To	
   get	
   a	
   better	
   understanding	
   of	
   the	
   spatial	
  
distribution	
  of	
  the	
  DTO-­‐‑related	
  homicides,	
  10	
  classes	
  were	
  created	
  with	
  a	
  natural	
  breaks	
  
(Jenks)	
  classification.	
  With	
  data	
  for	
  total	
  population	
  and	
  a	
  Gini	
  Coefficient	
  by	
  municipality	
  
for	
   2010	
   from	
   CONAPO,	
   this	
   data	
   was	
   joined	
   to	
   the	
   "municipalities"	
   shapefile.	
   From	
   the	
  
area	
  contained	
  in	
  the	
  same	
  shapefile,	
  area	
  was	
  converted	
  into	
  kilometers	
  squared	
  for	
  all	
  of	
  
Mexico.	
  The	
  municipal	
  level	
  population	
  was	
  then	
  divided	
  by	
  km&
	
  to	
  get	
  population	
  density	
  
per	
  km&
,	
  which	
  would	
  serve	
  as	
  a	
  control	
  variable	
  in	
  the	
  regression.	
  In	
  a	
  similar	
  manner,	
  
total	
   populatin	
   by	
   municipality	
   was	
   joined	
   to	
   the	
   DTO-­‐‑related	
   homicides	
   dataset,	
   which	
  
allowed	
   the	
   calculation	
   of	
   homicides	
   per	
   100,000	
   people	
   (the	
   reported	
   standard).	
   This	
  
calculation	
   normalized	
   the	
   deaths	
   associated	
   with	
   DTOs	
   since	
   some	
   municipalities	
   are	
  
quite	
  small,	
  in	
  which	
  case	
  one	
  murder	
  would	
  cause	
  a	
  high	
  murder	
  rate.	
  This	
  distribution	
  is	
  
displayed	
  in	
  Figure	
  1.	
  	
  
	
   To	
  create	
  the	
  main	
  independent	
  variable,	
  the	
  Euclidean	
  Distance	
  tool	
  was	
  used	
  to	
  
create	
  a	
  raster	
  to	
  measure	
  the	
  distance	
  in	
  kilometers	
  from	
  the	
  U.S.	
  border	
  cities	
  to	
  areas	
  
along	
  the	
  southern	
  borders	
  of	
  Mexico	
  (Figure	
  2).	
  Zonal	
  Statistics	
  was	
  used	
  to	
  calculate	
  the	
  
average	
   distance	
   from	
   these	
   border	
   cities,	
   and	
   this	
   distance	
   data	
   was	
   joined	
   to	
   the	
  
homicide	
  data.	
  This	
  information	
  was	
  joined	
  to	
  the	
  municipal	
  data	
  and	
  the	
  complete	
  table	
  
was	
   exported	
   so	
   it	
   could	
   be	
   used	
   to	
   run	
   OLS,	
   both	
   in	
   ArcGIS	
   and	
   in	
   Stata.	
   This	
   dataset	
  
contained	
  the	
  four	
  variables	
  of	
  interest:	
  DTO-­‐‑related	
  homicides	
  (the	
  dependent	
  variable),	
  
mean	
  distance	
  from	
  border	
  entries	
  at	
  the	
  U.S.-­‐‑Mexican	
  border,	
  population	
  density	
  and	
  the	
  
Gini	
  Coefficient	
  (independent	
  variable	
  and	
  control	
  variables,	
  respectively),	
  at	
  the	
  municipal	
  
level,	
  the	
  unit	
  of	
  measurement.	
  Although	
  GDP	
  per	
  capita	
  would	
  have	
  been	
  an	
  ideal	
  control,	
  
this	
  data	
  was	
  not	
  available,	
  so	
  the	
  Gini	
  Coefficient	
  at	
  least	
  controlled	
  for	
  the	
  distribution	
  of	
  
inequality	
   throughout	
   the	
   country.	
   The	
   OLS	
   tool	
   was	
   used	
   in	
   ArcGIS	
   to	
   run	
   an	
   OLS	
  
regression,	
  which	
  was	
  also	
  run	
  in	
  Stata	
  after	
  exporting	
  the	
  table	
  into	
  a	
  usable	
  format.	
  The	
  
regression	
  results	
  are	
  shown	
  and	
  discussed	
  below	
  (Figure	
  3).	
  To	
  test	
  for	
  clustering	
  among	
  
the	
  data,	
  the	
  Spatial	
  Moran's	
  I	
  tool	
  was	
  used,	
  adding	
  the	
  feature	
  class	
  of	
  municipalities	
  and	
  
using	
  inverse	
  distance	
  as	
  the	
  conceptualization	
  of	
  spatial	
  relationships.	
  This	
  test	
  showed	
  
that	
   autocorrelation	
   is	
   present,	
   with	
   a	
   Moran's	
   Index	
   of	
   0.1046	
   and	
   a	
   p-­‐‑value	
   of	
   0.000,	
  
which	
   means	
   that	
   there	
   is	
   internal	
   structuring	
   of	
   the	
   observations	
   and	
   that	
   these	
  
observations	
  are	
  dependent	
  on	
  this	
  internal	
  structure.	
  Furthermore,	
  OLS	
  is	
  unbiased,	
  but	
  
the	
  standard	
  errors	
  and	
  t	
  statistics	
  are	
  incorrect,	
  leading	
  to	
  incorrect	
  inferences.	
  	
  
	
   To	
  account	
  for	
  this,	
  a	
  geographically	
  weighted	
  regression	
  (GWR)	
  would	
  be	
  used	
  to	
  
account	
  and	
  adjust	
  for	
  this	
  issue.	
  As	
  can	
  be	
  seen	
  from	
  Figure	
  4,	
  there	
  was	
  an	
  error	
  that	
  
caused	
  large	
  areas	
  of	
  "no	
  data."	
  The	
  source	
  of	
  this	
  error	
  is	
  unknown,	
  but	
  further	
  research	
  
should	
  be	
  done	
  to	
  correct	
  for	
  this.	
  Adjusting	
  for	
  autocorrelation	
  by	
  use	
  of	
  the	
  Fotheringham	
  
adjustment	
   and	
   running	
   GWR	
   in	
   ArcGIS,	
   a	
   more	
   robust	
   output	
   would	
   be	
   produced.	
   A	
  
robustness	
   check	
   on	
   the	
   errors	
   can	
   also	
   be	
   run	
   in	
   Stata	
   by	
   clustering	
   the	
   regression	
   by	
  
municipalities.	
   This	
   would	
   allow	
   for	
   arbitrary	
   spatial	
   autocorrelation	
   for	
   the	
   2,456	
  
municipal	
  observations.	
  Due	
  to	
  the	
  errors	
  discussed,	
  GWR	
  was	
  not	
  utilized	
  in	
  this	
  analysis.	
  
More	
   time	
   would	
   be	
   needed	
   to	
   find	
   the	
   error,	
   which	
   could	
   lie	
   in	
   the	
   data,	
   or	
   other	
  
components	
  of	
  the	
  process.	
  	
  
Figure	
  1	
  
	
  
	
  
Figure	
  2	
  
	
  
Findings	
  	
  
	
   From	
  the	
  OLS	
  regression	
  of	
  running	
  DTO	
  homicides	
  on	
  mean	
  distance	
  from	
  border	
  
cities,	
   Gini	
   Coefficient,	
   and	
   population	
   density,	
   the	
   results	
   are	
   as	
   expected	
   in	
   that	
   all	
  
variables	
  are	
  statistically	
  significant.	
  As	
  can	
  be	
  seen	
  from	
  Figure	
  3,	
  the	
  output	
  table	
  can	
  be	
  
interpreted	
   in	
   the	
   following	
   way.	
   	
   Holding	
   all	
   else	
   constant,	
   a	
   1	
   km&
	
   increase	
   in	
   mean	
  
distance	
   is	
   correlated	
   with	
   a	
   0.00002	
   decrease	
   in	
   homicides	
   per	
   100,000	
   people	
   on	
  
average.	
   Although	
   this	
   number	
   is	
   extremely	
   small,	
   it	
   is	
   significant	
   at	
   the	
   95%	
   level.	
  
Additionally,	
  holding	
  all	
  else	
  constant,	
  a	
  1-­‐‑unit	
  increase	
  in	
  population	
  density	
  is	
  associated	
  
with	
  a	
  0.002	
  decrease	
  in	
  homicides	
  on	
  average.	
  Again,	
  not	
  a	
  large	
  number,	
  but	
  this	
  is	
  also	
  
significant	
   at	
   the	
   95%	
   level.	
   More	
   interesting,	
   on	
   average,	
   a	
   1-­‐‑point	
   increase	
   in	
   the	
   Gini	
  
Coefficient	
   (more	
   inequality)	
   is	
   associated	
   with	
   an	
   increase	
   of	
   125.15	
   homicides	
   per	
  
100,000	
   people,	
   which	
   is	
   significant	
   at	
   the	
   95%	
   level	
   as	
   well.	
   This	
   seems	
   very	
   high	
   and	
  
requires	
  further	
  investigation,	
  especially	
  since	
  one	
  would	
  expect	
  increases	
  in	
  violence	
  due	
  
to	
  lower	
  levels	
  of	
  GDP	
  per	
  capita,	
  or	
  accessible	
  here,	
  more	
  inequality,	
  however	
  not	
  to	
  this	
  
extent.	
  A	
  deeper	
  look	
  into	
  the	
  outcomes	
  of	
  inequality	
  in	
  Mexico	
  is	
  of	
  interest,	
  and	
  could	
  be	
  a	
  
topic	
  of	
  further	
  study.	
  A	
  Probit	
  or	
  Logit	
  model	
  may	
  be	
  a	
  better	
  tool	
  for	
  analysis	
  here.	
  	
  
Figure	
  3	
  
	
  
Limitations	
  
	
   There	
  are	
  several	
  limitations	
  to	
  be	
  addressed	
  in	
  this	
  analysis.	
  To	
  begin	
  with,	
  finding	
  
complete	
  or	
  adequate	
  data	
  was	
  very	
  difficult.	
  Other	
  very	
  interesting	
  analyses	
  could	
  have	
  
been	
  researched	
  if	
  more	
  data	
  were	
  available.	
  For	
  example,	
  having	
  access	
  to	
  transport	
  costs	
  
involved	
   in	
   drug	
   trafficking	
   could	
   help	
   produce	
   a	
   cost-­‐‑distance	
   calculation,	
   as	
   well	
   as	
  
understanding	
  specific	
  geographic	
  components	
  of	
  roads	
  (tolls	
  versus	
  free	
  roads,	
  how	
  well	
  
the	
  roads	
  are	
  maintained)	
  and	
  topographic	
  challenges,	
  such	
  as	
  how	
  mountainous	
  certain	
  
regions	
  are,	
  making	
  the	
  costs	
  and	
  risks	
  easier	
  to	
  understand.	
  Having	
  this	
  knowledge	
  could	
  
have	
  interesting	
  policy	
  implications,	
  not	
  only	
  for	
  the	
  U.S.-­‐‑Mexican	
  border,	
  but	
  perhaps	
  for	
  
borders	
  in	
  other	
  parts	
  of	
  the	
  world	
  as	
  well.	
  Other	
  controls	
  that	
  would	
  have	
  been	
  interesting	
  
to	
   look	
   at	
   include	
   GDP	
   and	
   education	
   levels	
   by	
   municipality,	
   since	
   one	
   would	
   expect	
   as	
  
these	
  two	
  variables	
  increase,	
  violence	
  and	
  homicides	
  would	
  decrease.	
  Electoral	
  outcomes	
  
play	
  an	
  important	
  role	
  as	
  well,	
  especially	
  with	
  respect	
  to	
  the	
  crackdown	
  by	
  the	
  Calderón	
  
administration	
  on	
  the	
  War	
  on	
  Drugs.	
  Controlling	
  for	
  the	
  party	
  in	
  power	
  by	
  district	
  could	
  
provide	
   insight	
   on	
   how	
   Mexican	
   political	
   dynamics	
   affect	
   violence,	
   especially	
   because	
  
corruption	
  and	
  lack	
  of	
  transparency	
  plays	
  a	
  role	
  in	
  this	
  situation.	
  	
   	
  
	
   A	
  time	
  series	
  or	
  panel	
  data	
  comparison	
  between	
  two	
  years,	
  say	
  2006	
  when	
  Calderón	
  
began	
   to	
   crack	
   down	
   on	
   DTOs	
   and	
   related	
   offenders,	
   and	
   2010,	
   four	
   years	
   into	
   the	
  
crackdown,	
   would	
   be	
   interesting	
   because	
   one	
   could	
   look	
   at	
   state	
   governance	
   and	
   make	
  
inferences	
  about	
  levels	
  of	
  responsiveness	
  and	
  corruption	
  based	
  on	
  results.	
  Policing	
  data	
  
would	
   bring	
   in	
   the	
   element	
   of	
   corruption	
   analysis,	
   however	
   this	
   data	
   is	
   extremely	
  
insufficient.	
  There	
  is	
  a	
  corruption	
  index	
  but	
  not	
  at	
  the	
  municipal	
  level,	
  and	
  as	
  of	
  now,	
  there	
  
is	
  no	
  data	
  on	
  the	
  distribution	
  of	
  police	
  bribery	
  or	
  extortion.	
  	
  
_cons -19.13542 8.206902 -2.33 0.020 -35.22981 -3.041042
popdens -.0021192 .0008281 -2.56 0.011 -.003743 -.0004953
gini_10 125.145 20.15789 6.21 0.000 85.61378 164.6762
mean -.0000208 3.99e-06 -5.20 0.000 -.0000286 -.0000129
hom_pc Coef. Std. Err. t P>|t| [95% Conf. Interval]
Total 4649498.69 2132 2180.81552 Root MSE = 45.99
Adj R-squared = 0.0301
Residual 4503022.15 2129 2115.08791 R-squared = 0.0315
Model 146476.539 3 48825.513 Prob > F = 0.0000
F( 3, 2129) = 23.08
Source SS df MS Number of obs = 2133
. reg hom_pc mean gini_10 popdens
Figure	
  4	
  
	
  	
  
Conclusion	
  
	
   In	
   closing,	
   Mexico's	
   drug	
   trafficking	
   organizations	
   are	
   violent	
   groups	
   that	
   have	
  
contributed	
  to	
  the	
  deaths	
  of	
  tens	
  of	
  thousands	
  of	
  people	
  in	
  Mexico,	
  and	
  the	
  efforts	
  on	
  behalf	
  
of	
  the	
  government	
  to	
  combat	
  them	
  have	
  worsened	
  the	
  situation,	
  as	
  discussed	
  above.	
  The	
  
findings	
  from	
  this	
  analysis	
  show	
  that	
  being	
  nearer	
  to	
  border	
  crossings	
  is	
  associated	
  with	
  
more	
  DTO-­‐‑related	
  murders.	
  This	
  is	
  not	
  to	
  say	
  that	
  areas	
  further	
  from	
  the	
  border	
  are	
  not	
  
violent,	
   as	
   there	
   are	
   hotspots	
   of	
   violence	
   that	
   fall	
   within	
   the	
   drug	
   trafficking	
   corridors.	
  
Further	
  research	
  should	
  be	
  done,	
  specifically	
  by	
  comparing	
  instances	
  of	
  violence	
  between	
  
years,	
  to	
  identify	
  specific	
  actions,	
  policies,	
  party-­‐‑in-­‐‑power	
  strongholds,	
  and	
  regions	
  where	
  
DTO	
   homicides	
   have	
   occurred.	
   There	
   are	
   policy	
   implications,	
   which	
   include	
   but	
   are	
   not	
  
limited	
  to	
  establishing	
  stronger	
  institutions	
  to	
  reduce	
  corruption	
  and	
  enforce	
  lawfulness	
  to	
  
a	
   higher	
   extent.	
   Additionally,	
   analyzing	
   this	
   by	
   looking	
   at	
   drug	
   running	
   along	
   the	
   coasts	
  
from	
   boats	
   and	
   ports	
   could	
   enhance	
   the	
   analysis	
   and	
   also	
   have	
   repercussions	
   on	
  
policymaking.	
   	
   By	
   improving	
   transparency	
   in	
   Mexico,	
   one	
   would	
   expect	
   to	
   see	
   less	
  
corruption,	
  and	
  overall	
  violence	
  including	
  kidnappings,	
  bribery,	
  and	
  extortion,	
  and	
  could	
  
contribute	
   to	
   an	
   increase	
   in	
   tourism	
   and	
   FDI;	
   Mexico	
   needs	
   both	
   of	
   these	
   things	
   to	
  
experience	
  more	
  economic	
  growth.	
  	
  
	
  
	
  
	
  
	
  
	
  
	
  
	
  
	
  
	
  
	
  
	
  
	
  
	
  
	
  
	
  
	
  
	
  
	
  
	
  
	
  
	
  
	
  
Bibliography	
  	
  
	
  
Astorga,	
  Luis,	
  and	
  David	
  A.	
  Shirk.	
  "Drug	
  Trafficking	
  Organizations	
  and	
  Counter-­‐‑Drug	
  
	
   Strategies	
  in	
  	
   the	
  U.S.-­‐‑Mexican	
  Context."	
  EScholarship.	
  University	
  of	
  California,	
  01	
  	
  
Jan.	
  2010.	
  Web.	
  12	
  Dec.	
  2014.	
  	
  
	
  
Beittel,	
  June	
  S.	
  "Mexico’s	
  Drug	
  Trafficking	
  Organizations:	
  Source	
  and	
  Scope	
  of	
  the	
  Rising	
  
	
   Violence."	
  Congressional	
  Research	
  Services.	
  N.p.,	
  11	
  Jan.	
  2011.	
  Web.	
  13	
  Dec.	
  2014.	
  
	
  
"North	
  America:	
  Mexico."	
  Central	
  Intelligence	
  Agency.	
  Central	
  Intelligence	
  Agency,	
  n.d.	
  Web.	
  
	
   14	
  Dec.	
  2014.	
  	
  
	
  
	
  
	
  
Data	
  Resources	
  
Population:	
  	
  	
  http://www.conapo.gob.mx/es/CONAPO/Proyecciones_Datos	
  
GIS	
  DTO	
  related	
  murders:	
  http://esoc.princeton.edu/	
  	
  	
  	
  
GIS	
  Mexican	
  Municipalities	
  and	
  States:	
  http://esoc.princeton.edu/country/mexico	
  
All	
  other	
  data	
  accessed	
  from	
  Gordon	
  McCord	
  (professor)	
  
	
  

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Spatial analysis of Mexican Homicides and Proximity to the US Border

  • 1. Kezia  E  Dinelt   UC  SAN  DIEGO  |  IRGN  490:  GIS  &  SPATIAL  DATA  ANALYSIS   PROFESSOR  GORDON  MCCORD   DECEMBER  17,  2014   Spatial  Analysis  of   Mexican  Homicides   and  Proximity  to   the  U.S.  Border   DOES  PROXIMITY  TO  THE  U.S.  BORDER  RESULT  IN  MORE   HOMICIDES  DUE  TO  HIGHER  LEVELS  OF  DRUG  TRAFFICKING   FROM  MEXICO  TO  THE  UNITED  STATES?        
  • 2. Introduction     There   has   been   substantial   research   done   in   recent   years   to   understand   the   worsening  situation  in  Mexico  in  regards  to  homicides  presumably  due  to  drug  trafficking   organization   (DTO)   violence.   In   2006,   Mexico's   president,   Felipe   Calderón   initiated   a   crackdown   against   DTOs,   causing   intense   backlash   throughout   the   country,   resulting   in   increased  violence  instead  of  a  desired  decrease  in  overall  violence.  It  was  reported  in  July   of   2010   that   upwards   of   28,000   people   had   died   as   a   result   of   drug-­‐‑trafficking   violence   since  2006.1  The  United  States  has  tried  to  support  Mexico's  efforts  through  the  Mérida   Initiative,  through  $1.4  billion  of  assistance  in  the  form  of  equipment,  training,  and  other   means  from  2008  to  2012.2  This  situation  that  persists  today  is  interesting  because  Mexico   88𝑡ℎ  in  the  world  for  GDP  per  capita3  but  could  potentially  achieve  much  more  through   increased  tourism  and  FDI,  however  the  violence  seen  in  Mexico  has  been  known  to  cause   decreases  in  both.  The  GDP  ranking  is  a  reflection  of  the  problem  that  has  been  unfolding  in   Mexico  over  the  past  eight  years.     Hypothesis     Because  the  U.S.  is  a  large  market  for  drugs  coming  from  Mexico,  and  it  is  a  very   lucrative   business,   there   is   money   to   be   made   by   pushing   drugs   across   the   border.   Although   border   patrol   and   police   create   the   possibility   of   getting   caught,   this   does   not   deter   the   DTO   members;   one   can   assume   those   who   earn   a   living   from   smuggling   or   transporting   drugs   weigh   such   risks   less   heavily   than   the   benefits   received   from   completing  the  transactions.  Therefore,  patches  of  drug-­‐‑related  murders  can  be  expected  to   be  prevalent  closer  to  the  border  than  further  from  these  points  of  entry.  Furthermore,  one   can  expect  there  to  be  substantial  U.S.  pressure  at  border  crossings  in  an  effort  to  thwart   trafficking  operations,  increasing  the  number  of  homicides  that  occur  at  or  very  near  to  the   border  points  of  entry  from  increased  security,  especially  since  9/11.       To  investigate  the  relationship  between  DTO  homicides  and  distance  from  border   crossings,  population  density  is  important  to  control  for  since  there  is  a  disparity  between   the  sizes  and  populations  within  each  municipality.  Inequality  also  plays  a  role,  which  is   controlled  for  by  a  municipal-­‐‑level  Gini  Coefficient.  GDP  broken  down  at  this  level  would  be   of  great  interest  since  one  would  expect  lower  levels  of  crime  as  GDP  increases,  but  it  is   unavailable  at  this  time,  so  the  Gini  provides  a  similar  analysis.  Homicides  are  reported  as   DTO  murders  per  100,000  people  to  normalize  for  the  population  densities  throughout  the   country.                                                                                                                               1  Congressional  Research  Services   2  Astorga  and  Shirk  (2010)   3  CIA  Factbook  
  • 3. Data  and  Methodology     To  look  at  the  relationship  between  DTO  homicides  and  distance  from  U.S.  border   entries  for  2010,  several  shapefiles  were  uploaded.  Those  include  shapefiles  for  national   boundaries,  Mexican  states  and  municipalities,  drug-­‐‑related  murders  available  from  2010,   an  ocean  layer  as  well  as  world  cities.    These  layers  were  all  projected  to  North  American   Equidistant  Conic  since  the  region  of  interest  is  in  North  America,  and  because  distance  is   measured   from   border   points,   having   the   equidistant   conic   projection   best   suits   this   calculation.   To   look   only   at   points   of   entry   at   the   border,   a   layer   was   created   from   a   selection   of   cities   from   the   shapefile.   To   get   a   better   understanding   of   the   spatial   distribution  of  the  DTO-­‐‑related  homicides,  10  classes  were  created  with  a  natural  breaks   (Jenks)  classification.  With  data  for  total  population  and  a  Gini  Coefficient  by  municipality   for   2010   from   CONAPO,   this   data   was   joined   to   the   "municipalities"   shapefile.   From   the   area  contained  in  the  same  shapefile,  area  was  converted  into  kilometers  squared  for  all  of   Mexico.  The  municipal  level  population  was  then  divided  by  km&  to  get  population  density   per  km& ,  which  would  serve  as  a  control  variable  in  the  regression.  In  a  similar  manner,   total   populatin   by   municipality   was   joined   to   the   DTO-­‐‑related   homicides   dataset,   which   allowed   the   calculation   of   homicides   per   100,000   people   (the   reported   standard).   This   calculation   normalized   the   deaths   associated   with   DTOs   since   some   municipalities   are   quite  small,  in  which  case  one  murder  would  cause  a  high  murder  rate.  This  distribution  is   displayed  in  Figure  1.       To  create  the  main  independent  variable,  the  Euclidean  Distance  tool  was  used  to   create  a  raster  to  measure  the  distance  in  kilometers  from  the  U.S.  border  cities  to  areas   along  the  southern  borders  of  Mexico  (Figure  2).  Zonal  Statistics  was  used  to  calculate  the   average   distance   from   these   border   cities,   and   this   distance   data   was   joined   to   the   homicide  data.  This  information  was  joined  to  the  municipal  data  and  the  complete  table   was   exported   so   it   could   be   used   to   run   OLS,   both   in   ArcGIS   and   in   Stata.   This   dataset   contained  the  four  variables  of  interest:  DTO-­‐‑related  homicides  (the  dependent  variable),   mean  distance  from  border  entries  at  the  U.S.-­‐‑Mexican  border,  population  density  and  the   Gini  Coefficient  (independent  variable  and  control  variables,  respectively),  at  the  municipal   level,  the  unit  of  measurement.  Although  GDP  per  capita  would  have  been  an  ideal  control,   this  data  was  not  available,  so  the  Gini  Coefficient  at  least  controlled  for  the  distribution  of   inequality   throughout   the   country.   The   OLS   tool   was   used   in   ArcGIS   to   run   an   OLS   regression,  which  was  also  run  in  Stata  after  exporting  the  table  into  a  usable  format.  The   regression  results  are  shown  and  discussed  below  (Figure  3).  To  test  for  clustering  among   the  data,  the  Spatial  Moran's  I  tool  was  used,  adding  the  feature  class  of  municipalities  and   using  inverse  distance  as  the  conceptualization  of  spatial  relationships.  This  test  showed   that   autocorrelation   is   present,   with   a   Moran's   Index   of   0.1046   and   a   p-­‐‑value   of   0.000,   which   means   that   there   is   internal   structuring   of   the   observations   and   that   these  
  • 4. observations  are  dependent  on  this  internal  structure.  Furthermore,  OLS  is  unbiased,  but   the  standard  errors  and  t  statistics  are  incorrect,  leading  to  incorrect  inferences.       To  account  for  this,  a  geographically  weighted  regression  (GWR)  would  be  used  to   account  and  adjust  for  this  issue.  As  can  be  seen  from  Figure  4,  there  was  an  error  that   caused  large  areas  of  "no  data."  The  source  of  this  error  is  unknown,  but  further  research   should  be  done  to  correct  for  this.  Adjusting  for  autocorrelation  by  use  of  the  Fotheringham   adjustment   and   running   GWR   in   ArcGIS,   a   more   robust   output   would   be   produced.   A   robustness   check   on   the   errors   can   also   be   run   in   Stata   by   clustering   the   regression   by   municipalities.   This   would   allow   for   arbitrary   spatial   autocorrelation   for   the   2,456   municipal  observations.  Due  to  the  errors  discussed,  GWR  was  not  utilized  in  this  analysis.   More   time   would   be   needed   to   find   the   error,   which   could   lie   in   the   data,   or   other   components  of  the  process.     Figure  1      
  • 5. Figure  2     Findings       From  the  OLS  regression  of  running  DTO  homicides  on  mean  distance  from  border   cities,   Gini   Coefficient,   and   population   density,   the   results   are   as   expected   in   that   all   variables  are  statistically  significant.  As  can  be  seen  from  Figure  3,  the  output  table  can  be   interpreted   in   the   following   way.     Holding   all   else   constant,   a   1   km&   increase   in   mean   distance   is   correlated   with   a   0.00002   decrease   in   homicides   per   100,000   people   on   average.   Although   this   number   is   extremely   small,   it   is   significant   at   the   95%   level.   Additionally,  holding  all  else  constant,  a  1-­‐‑unit  increase  in  population  density  is  associated   with  a  0.002  decrease  in  homicides  on  average.  Again,  not  a  large  number,  but  this  is  also   significant   at   the   95%   level.   More   interesting,   on   average,   a   1-­‐‑point   increase   in   the   Gini   Coefficient   (more   inequality)   is   associated   with   an   increase   of   125.15   homicides   per   100,000   people,   which   is   significant   at   the   95%   level   as   well.   This   seems   very   high   and   requires  further  investigation,  especially  since  one  would  expect  increases  in  violence  due   to  lower  levels  of  GDP  per  capita,  or  accessible  here,  more  inequality,  however  not  to  this  
  • 6. extent.  A  deeper  look  into  the  outcomes  of  inequality  in  Mexico  is  of  interest,  and  could  be  a   topic  of  further  study.  A  Probit  or  Logit  model  may  be  a  better  tool  for  analysis  here.     Figure  3     Limitations     There  are  several  limitations  to  be  addressed  in  this  analysis.  To  begin  with,  finding   complete  or  adequate  data  was  very  difficult.  Other  very  interesting  analyses  could  have   been  researched  if  more  data  were  available.  For  example,  having  access  to  transport  costs   involved   in   drug   trafficking   could   help   produce   a   cost-­‐‑distance   calculation,   as   well   as   understanding  specific  geographic  components  of  roads  (tolls  versus  free  roads,  how  well   the  roads  are  maintained)  and  topographic  challenges,  such  as  how  mountainous  certain   regions  are,  making  the  costs  and  risks  easier  to  understand.  Having  this  knowledge  could   have  interesting  policy  implications,  not  only  for  the  U.S.-­‐‑Mexican  border,  but  perhaps  for   borders  in  other  parts  of  the  world  as  well.  Other  controls  that  would  have  been  interesting   to   look   at   include   GDP   and   education   levels   by   municipality,   since   one   would   expect   as   these  two  variables  increase,  violence  and  homicides  would  decrease.  Electoral  outcomes   play  an  important  role  as  well,  especially  with  respect  to  the  crackdown  by  the  Calderón   administration  on  the  War  on  Drugs.  Controlling  for  the  party  in  power  by  district  could   provide   insight   on   how   Mexican   political   dynamics   affect   violence,   especially   because   corruption  and  lack  of  transparency  plays  a  role  in  this  situation.         A  time  series  or  panel  data  comparison  between  two  years,  say  2006  when  Calderón   began   to   crack   down   on   DTOs   and   related   offenders,   and   2010,   four   years   into   the   crackdown,   would   be   interesting   because   one   could   look   at   state   governance   and   make   inferences  about  levels  of  responsiveness  and  corruption  based  on  results.  Policing  data   would   bring   in   the   element   of   corruption   analysis,   however   this   data   is   extremely   insufficient.  There  is  a  corruption  index  but  not  at  the  municipal  level,  and  as  of  now,  there   is  no  data  on  the  distribution  of  police  bribery  or  extortion.     _cons -19.13542 8.206902 -2.33 0.020 -35.22981 -3.041042 popdens -.0021192 .0008281 -2.56 0.011 -.003743 -.0004953 gini_10 125.145 20.15789 6.21 0.000 85.61378 164.6762 mean -.0000208 3.99e-06 -5.20 0.000 -.0000286 -.0000129 hom_pc Coef. Std. Err. t P>|t| [95% Conf. Interval] Total 4649498.69 2132 2180.81552 Root MSE = 45.99 Adj R-squared = 0.0301 Residual 4503022.15 2129 2115.08791 R-squared = 0.0315 Model 146476.539 3 48825.513 Prob > F = 0.0000 F( 3, 2129) = 23.08 Source SS df MS Number of obs = 2133 . reg hom_pc mean gini_10 popdens
  • 7. Figure  4       Conclusion     In   closing,   Mexico's   drug   trafficking   organizations   are   violent   groups   that   have   contributed  to  the  deaths  of  tens  of  thousands  of  people  in  Mexico,  and  the  efforts  on  behalf   of  the  government  to  combat  them  have  worsened  the  situation,  as  discussed  above.  The   findings  from  this  analysis  show  that  being  nearer  to  border  crossings  is  associated  with   more  DTO-­‐‑related  murders.  This  is  not  to  say  that  areas  further  from  the  border  are  not   violent,   as   there   are   hotspots   of   violence   that   fall   within   the   drug   trafficking   corridors.   Further  research  should  be  done,  specifically  by  comparing  instances  of  violence  between   years,  to  identify  specific  actions,  policies,  party-­‐‑in-­‐‑power  strongholds,  and  regions  where   DTO   homicides   have   occurred.   There   are   policy   implications,   which   include   but   are   not   limited  to  establishing  stronger  institutions  to  reduce  corruption  and  enforce  lawfulness  to   a   higher   extent.   Additionally,   analyzing   this   by   looking   at   drug   running   along   the   coasts   from   boats   and   ports   could   enhance   the   analysis   and   also   have   repercussions   on   policymaking.     By   improving   transparency   in   Mexico,   one   would   expect   to   see   less  
  • 8. corruption,  and  overall  violence  including  kidnappings,  bribery,  and  extortion,  and  could   contribute   to   an   increase   in   tourism   and   FDI;   Mexico   needs   both   of   these   things   to   experience  more  economic  growth.                                                
  • 9. Bibliography       Astorga,  Luis,  and  David  A.  Shirk.  "Drug  Trafficking  Organizations  and  Counter-­‐‑Drug     Strategies  in     the  U.S.-­‐‑Mexican  Context."  EScholarship.  University  of  California,  01     Jan.  2010.  Web.  12  Dec.  2014.       Beittel,  June  S.  "Mexico’s  Drug  Trafficking  Organizations:  Source  and  Scope  of  the  Rising     Violence."  Congressional  Research  Services.  N.p.,  11  Jan.  2011.  Web.  13  Dec.  2014.     "North  America:  Mexico."  Central  Intelligence  Agency.  Central  Intelligence  Agency,  n.d.  Web.     14  Dec.  2014.           Data  Resources   Population:      http://www.conapo.gob.mx/es/CONAPO/Proyecciones_Datos   GIS  DTO  related  murders:  http://esoc.princeton.edu/         GIS  Mexican  Municipalities  and  States:  http://esoc.princeton.edu/country/mexico   All  other  data  accessed  from  Gordon  McCord  (professor)