Juvenile Delinquency-Team 6-BUS354-2013

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1 BUS 354 Strategic Modeling and Social Dynamics 12 December 2013 Overview, Design Concepts, and Details (ODD) for the Effect of Policies on Juvenile Delinquency Rate within a Predefined Community Model Group 6 Aiming Nie | Guhan Wang | Qi Wu

Transcript of Juvenile Delinquency-Team 6-BUS354-2013

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BUS  354  

Strategic  Modeling  and  Social  Dynamics  

12  December  2013  

             

 

Overview,  Design  Concepts,  and  Details  (ODD)  for  the  Effect  of  Policies  on  Juvenile  Delinquency  Rate  within  a  Predefined  Community  Model  

 Group  6  

Aiming  Nie  |  Guhan  Wang  |  Qi  Wu                                            

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Table  of  Contents  

 

1. Executive  Summary  ………………………………………………………………………………………………….      3  

2. Purpose  ……………………………………………………………………………………………………………………      4  

3. Method  ……………………………………………………………………………………………………………………      5  

4. Results  ……………………………………………………………………………………………………………………..  11  

5. Discussion  ………………………………………………………………………………………………………………..  18  

6. Reference  …………………………………………………………………………………………………………………  19  

7. Appendix  …………………………………………………………………………………………………………………      20  

a. Sensitivity  Analysis  ………………………………………………………………………………………    20  

b. Entity,  State  Variable  ……………………………………………………………………………………  22  

c. Interface  Design  ……………………………………………………………………………………………23  

d. Process  Overview  and  Schedule  …………………………………………………………………..  25  

e. Design  Concepts  ………………………………………………………………………………………….    27  

 

 

 

   

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1.  Executive  Summary  

Our   group   is   hired   by   a   local   government   of   a   poor   community   in   Georgia,   which   has  

experienced  high  juvenile  delinquent  rates  over  the  past  few  years.  Our  client  has  an  initial  fund  that  

is  specifically  devoted  to  control  the  high  juvenile  delinquent  rate.    They  want  an  effective  method  

to  best  utilize  that  fund.  

Our  group  first  identifies  four  possible  investment  methods  based  on  an  extensive  study  of  

academic  literatures  and  the  policies  used  by  other  communities.  The  four  government  options  are:  

provide   subsidy   to   families,   increase   police   control   in   the   community,   invest   in   small   to  medium  

businesses,   and   invest   in   educational   programs   for   juveniles.   Then   we   build   an   agent-­‐based  

simulation  to   test   the  effectiveness  of  each  method.   In  our  model,  we  take   the  major   factors   that  

contribute   to   juvenile   delinquent   behaviors   into   consideration   and   try   to   model   the   real  

environment  of   the   community.   The   community   status,   a   global   variable   that   is   influenced  by   the  

four  options,  describes  the  situation  of  the  community.  In  addition,  we  assigned  different  attributes  

to   each   agent.   These   attributes   are   influenced   by   these   global   variables.   In   order   to   simulate   our  

client’s   real-­‐world  problem,   the  parameters   in  our  model  are  chosen  based  on  the  conditions  of  a  

poor   community.   Having   the   effect   of   each   factor,  we   can   compute   the   delinquent   likelihood   for  

each  agent.   If   an  agent  has  high  enough  delinquent   likelihood,  he  or   she  will   commit  a   crime  and  

increase  the  number-­‐of-­‐crimes  by  one.  We  record  the  total  number-­‐of-­‐crimes  in  a  10-­‐year  time  span  

and  compute  the  crime  rate  for  each  year  to  evaluate  the  effectiveness  of  each  government  policy.  

Because   each   run   generates   different   results,   we   use   BehaviorSpace,   a   parameter   sweep  

function,   to   calculate   the   average   number-­‐of-­‐crimes   for   each   option.   We   tested   different  

combinations,   such   as   putting   all   the   money   on   one   investment   option   or   having   a   balanced  

investment.   As   a   result,   we   found   that   investing   in   police   control   is   actually   the   most   effective  

method  in  reducing  the  number-­‐of-­‐crimes  in  a  poor  community.  According  to  the  slope  of  “quarterly  

number   of   crimes”   plot   in   our  model,   investing   in   police   control   is   also   the   only   effective  way   to  

reduce  the  crime  rate  over  the  years.  

We  also  did  two  sensitivity  analyses  by  controlling  the  population  size  and  additional  funding  

to  see  how  sensitive  are  our  results  to  the  changes  in  parameters.  Our  model  is  not  sensitive  to  the  

population   size,  which  means   it   is   also   applicable   to   bigger   communities.  On   the   other   hand,   our  

model   is  very  sensitive  to  additional   funding,  meaning  that  more  funding  could  help   to  reduce  the  

number-­‐of-­‐crimes  substantially.    

In  conclusion,  we  suggest  our  client  to   invest  the  majority  of   the  money  on  police  control,  

such  as  increase  the  police  crackdowns,  community  policing,  police  training  and  school  police.      

   

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2.  Purpose  

A  poor  community  in  Georgia  has  been  experiencing  high  juvenile  delinquent  rate  over  the  

past  few  years.  The  local  government  of  that  community  came  to  us  for  suggestions  to  reduce  the  

overall  juvenile  delinquent  rate.  Based  on  research  journals  about  reducing  crime  and  policies  used  

in  other  counties,  we  came  up  with  four  government  controls:  provide  subsidy  to  families,  increase  

police   control   in   the   community,   invest   in   small   to  medium  businesses,   and   invest   in   educational  

programs  for  juveniles.  However,  we  are  not  sure  which  is  the  most  effective  control  for  our  client’s  

county  since  the  same  government  control  may  have  various  effects  in  different  counties.    

Therefore,   we   decide   to   develop   an   agent-­‐based   simulation   to   explore   the   effects   of  

different   government   controls   on   juvenile   delinquency   rate,   therefore   allow   us   to   find   the   most  

effective   government   policy   our   client’s   county.   We   think   an   agent-­‐based   model   is   particularly  

suitable   in   this   case   because   it   takes   human   interaction   and   adaptive   learning   into   consideration,  

which   is   a   more   accurate   simulation   of   the   real   life   situation.   The   independent   variable   in   our  

simulation  is  the  four  government  controls  we  came  up  with.  These  government  control  options  will  

have  different  effects  on  a  juvenile’s  personal  stress,  attachment  to  parents,  exposure  to  delinquent  

peers,  and  other  factors  that  will  influence  one’s  decision  of  becoming  delinquent  or  not.  Therefore,  

the  dependent   variable   is   individual’s   delinquency.  We  will   calculate   the   annual   crime   rate  of   the  

community   subsequent   to   government   policy   to   evaluate   the   effectiveness   of   the   government  

policy.    

Our  agent-­‐based  model  uses  Agnew’s  book  Juvenile  Delinquency:  Causes  and  Control  as  the  

major   theoretical   support.   We   also   studied   academic   journals   extensively   when   selecting   our  

options,  variables,  and  attributes.  Our  proposed   four  government  options  are  designed  to  address  

the   important   aspects   related   to   juvenile   delinquency.   The   attributes   of   individual   agents   are  

selected   based   on   the   four   major   widely   accepted   theories   explaining   delinquent   behaviors   in  

sociology:   strain   theory,   social   learning   theory,   control   theory   and   labeling   theory.   The   attributes  

reflect   these   theories   to   different   extend.   The   dynamics   are   based   on   assumption   that   different  

government   options   would   influence   various   variables   contributing   to   crime,   and   these   variables  

would   further   affect   the   different   attributes   of   individuals.   A   juvenile   would   commit   delinquent  

behaviors  when  the  sum  of  his  or  her  attributes  exceeds  a  certain  amount.  

We  will  run  the  model  over  times  to  test  different  government  controls  in  order  to  help  our  

client   to   find   out   the  most   effective   control   to   reduce   the   juvenile   delinquent   rate   and   create   a  

better  community.  

   

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3.  Method  

Our  model   aims   to   find   the   best   investment   option   for   government   in   order   to   reducing  

juvenile  delinquency  according  by  using  the  theories  from  sociology.  Users  can  allocation  money  on  

four   options,   which   are   the   independent   variables:   proportion-­‐of-­‐family-­‐subsidy,   proportion-­‐of-­‐

police-­‐control,   proportion-­‐of-­‐small-­‐medium-­‐business,   and   proportion-­‐of-­‐educational-­‐programs.  

Each  option  has  different  effect  on  community  status,  which  are  dependent  variables:  direct-­‐control-­‐

parents,   direct-­‐control-­‐police,   community-­‐unemployment,   community-­‐norm,   domestic-­‐violence-­‐

rate,   school-­‐violence,   school-­‐involvement,   government-­‐total-­‐income,   government-­‐total-­‐income,  

business   index,   the  number  of  crimes,  quarterly   family   income,  quarterly  crime  rate  and  quarterly  

unemployment  rate.  The  community  status  then  will  affect  the  attributes  of  agents.  Each  agent  has  a  

score  to  measure  its  delinquent  potential,  which  is  represented  by  the  scale  color  of  blue.  The  darker  

the  color,  the  higher  the  crime  potential.  White  means  that  agent  has  zero  potential  of  crime.  Red  

means  that  agent  is  delinquent.  Our  simulation  is  a  discrete  time  simulation  and  has  total  40  ticks,  

means  counts  10  years  and  one  tick  means  one  quarter.  Users  can  also  choose  different  investment  

method,   community-­‐attitude,   and   additional   funding.   By   selecting   the   allocating   the   investment  

options,   users   can   use   the   total   number   of   crimes,  which   is   cumulative,   and   quarterly   number   of  

crimes  to  see  whether  the  option  is  effective  or  not.  

Please  refer  to  Table  1.  “parameters  and  values”  for  more  details.  

Table  1.  Parameters  and  values  

Parameter  definition   Value/range  Coefficient  that  family  subsidy  influence  direct  parents  control   0.1  Coefficient  that  businesses  influence  direct  parents  control   0.1  Coefficient  that  family  subsidy  influence  domestic  violence   -­‐0.2  Coefficient  that    family  subsidy  influence  school  involvement   0.1  Coefficient  that  educational  program  influence  school  involvement   0.5  Coefficient  that  police  control  influence  direct  police  control   0.5  Coefficient  that  police  control  influence  school  violence   -­‐0.15  Coefficient  educational  program  influence  school  violence   -­‐0.1  Coefficient  that  business  influence  community  unemployment   -­‐0.1  Coefficient  that  educational  program  influence  community  norm   0.2  Coefficient  that  businesses  influence  business  index   0.15  Coefficient  that  direct  parents  control  influence  personal  stress   0.1  Coefficient  that  domestic  violence  rate  influence  personal  stress   0.5  Coefficient  that  school  violence  influence  personal  stress   0.6  Coefficient  that  direct  parents  control  influence  exposure  to  delinquent  peers  

-­‐0.25  

Coefficient   that   direct   police   control   influence   exposure   to   delinquent  peers  

-­‐0.25  

Coefficient  that  school  violence  influence  exposure  to  delinquent  peers   0.5  

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Coefficient  that  community  unemployment  influence  personal  goal   0.15  Coefficient  that  school  involvement  influence  personal  goal   0.1  Coefficient  that  domestic  violence  rate  influence  attachment  to  parents   -­‐0.23  Coefficient  that  school  violence  influence  relations  with  peers   0.3  Coefficient  that  school  involvement  influence  relations  with  peers   0.2  Coefficient  that  community  norm  influence  personal  belief   0.25  Coefficient   that   propensity   to   aggression   influence   delinquent  likelihood  

0.5  

Coefficient  that  personal  stress  influence  delinquent  likelihood   0.23  Coefficient  that  self-­‐control  influence  delinquent  likelihood   -­‐0.165  Coefficient   that   exposure   to   delinquent   peers   influence   delinquent  likelihood  

0.556  

Coefficient  that  attachment  to  parents  influence  delinquent  likelihood   -­‐0.155  Coefficient  that  family  income  influence  delinquent  likelihood   -­‐0.009  Coefficient  that  personal  goal  influence  delinquent  likelihood   -­‐0.1  Coefficient  that  relation  with  peers  influence  delinquent  likelihood   -­‐0.165    

We   use   BehaviorSpace   to   run   the   simulation   100   times   for   each   different   government  

options   in  order   to   find   the  most  efficient   investment  method   for   the  government.  We  tested  the  

effects  of  9  different  government  policies:  only  investing  in  one  option  as  well  as  a  combination  of  

investing  in  different  options.  Each  policy  runs  100  times,  thus  there  are  a  total  of  900  replications.  

We  calculated  the  average  number-­‐of-­‐crimes  for  each  policy  (100  runs)  as  the  major  indicator  of  the  

effectiveness.  The  specific  results  will  be  shown  in  the  Results  section.  

 

Pseudo  Code:  

1.  A  population  is  defined  as  196  in  a  14*14  patch.  Each  patch  means  one  juvenile.  

Initially,   all   the   agents   are   randomly   assigned   by   blue   (non-­‐delinquent   with   delinquency  

potential,  darker  blue  means  higher  potential),  white  (non-­‐delinquent  without  delinquency  

potential),  and  red  (delinquent).  A  juvenile  ’s  delinquent  likelihood  represents  the  possibility  

of  him  committing  a  juvenile  delinquent  behavior.    

2.   The   user   changes   the   proportion   of   four   different   investment   channels   on   the  

Interface:  family  subsidy,  police  control,  small-­‐medium  business  and  educational  programs.  

The   sum  of   the   prorogations   of   the   four   options   should   be   1,   and   it  will   show   up   on   the  

“Total  Proportion”  monitor.    

3.   After   setting   up   everything,   the   observer   can   use   “step”   or   “go”   to   run   the  

simulation.  “Step”  means  that  time  advances  3  months,  namely  a  quarter.  “Go”  means  that  

the  time  will  continuously  advance  till  it  reaches  40  (10  years).  

4.  The  initial  base  numbers  are  based  on  the  normal  distribution  random,  meaning  

the  probability  of  getting  the  normal  characteristics  is  the  largest.      

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5.   There   is   one   first-­‐iteration,   which   affects   all   environmental   factors,   and   one  

patch-­‐iteration,  which  affects  all  agent  attributions.    

5.1   first   iteration:   direct-­‐control-­‐parents,   domestic-­‐violence-­‐rate,   school-­‐

involvement,   direct-­‐control-­‐police,   school-­‐violence,   community-­‐unemployment   and  

community-­‐norm  are  factors  that  influence  by  the  four  investment  four  options.    

5.2  patch  integration:  personal-­‐stress,  exposure-­‐to-­‐delinquent-­‐peers,  family-­‐income,  

personal-­‐goal,   attachment-­‐to-­‐parents,   relations-­‐with-­‐peers,   personal-­‐belief,   propensity-­‐to-­‐

aggression  and  self-­‐control  are  agent  variables  will  influence  the  delinquent-­‐likelihood.    

5.3.  More  specifically,  the  following  variables  will   influence  the  delinquent  score  of  

one   agent,   and   will   have   the   following   influence   to   each   other:   (+)   means   positive  

relationship  between  two  factors,  (-­‐)  means  negative  relationship  between  two  factors    

1.  Family  Subsidy  

Influenced  by:  User  Input  

Influence:    

(+)  Direct-­‐control  parents  

(-­‐)  Family  Disruption  

(+)  School  involvement  

2.  Police  Control  

Influenced  by:  User  Input  

Influence:  

(+)  Direct-­‐control  police  

(-­‐)  School  Violence  

3.  Small-­‐Medium  Businesses  

Influenced  by:  User  Input  

Influence:  

(+)  Direct-­‐control  parents  

(-­‐)  Community  Unemployment  

4.  Educational  Programs  

Influenced  by:  User  Input  

Influence:    

(+)  Community  Norms  

(-­‐)  School  Violence  

(+)  School  Involvement  

5.  Direct  Control  –  Parents  

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Influenced  by:  Family  Subsidy,  Small-­‐Medium  Business  

Influence:  

(+)  Personal  Stress  

(-­‐)  Exposure  to  Delinquent  Peers  

6.  Direct  Control  –  Police  

Influenced  by:  Police  Control  

Influence:    

(-­‐)  Exposure  to  Delinquent  Peers  

7.  Community  Unemployment  

Influenced  by:  Small-­‐Medium  Businesses  

Influence:  

(+)  Family  Income  

(+)  Personal  Goal  

8.  Family  Disruption  

Influenced  by:  Family  Subsidy  

Influence:    

(-­‐)  Attachment  to  Parents  

9.  School  Violence  

Influenced  by:  Police  Control,  Educational  Program  

Influence:    

(+)  Exposure  to  Delinquent  Peers  

(-­‐)  Relations  with  Peers  

(+)  Personal  Stress  

10.  School  Involvement  

Influenced  by:  Family  Subsidy,  Educational  Programs  

Influence:  

(+)  Relations  with  Peers  

11.  Community  Crime  Rate  

Influenced  by:  Calculation  

Influence:  N/A  

12.  Community  Norms  

Influenced  by:  Educational  Program,  “Positive”,  “Neutral”,  ”Negative”,  “Extremely  Negative”  

Influence:    

(+)  Personal  Belief  

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13.  Community  Average  Family  Income      

Influenced  by:    

Calculation  =  ΣFamily  Income  /  Total  Population  Number  

Influence:  N/A  

14.  Personal  Stress  

Influenced  by:  Direct  Control-­‐Parents,  School  Violence  

Influence:    

Delinquent  Likelihood  

15.  Self-­‐Control  (genetic)  

Influenced  by:  N/A  

Influence:    

Delinquent  Likelihood  

16.  Exposure  to  Delinquent  Peers  

Influenced  by:  Direct  Control-­‐Parent,  Direct  Control-­‐Police,  School  Violence,  School  

Involvement  

Influence:      

Delinquent  Likelihood  

17.  Attachment  to  Parents  

Influenced  by:  Family  Disruption  

Influence:      

Delinquent  Likelihood  

18.  Family  Income  

Influenced  by:  Community  Unemployment,  Family  Subsidy  

Influence:    

Delinquent  Likelihood  

19.  Personal  Goal  

Influenced  by:  Community  Unemployment  

Influence:      

Delinquent  Likelihood  

20.  Relations  with  Peers  

Influenced  by:  School  Violence,  School  Involvement  

Influence:      

Delinquent  Likelihood  

21.  Personal  Belief  

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Influenced  by:  Community  Norm  

Influence:      

Delinquent  Likelihood    

22.  Delinquent  Likelihood  

Influenced   by   the   sum   of   delinquent   likelihoods   of   Personal   Stress,   Self-­‐Control   (genetic),  

Exposure   to   Delinquent   Peers,   Attachment   to   Parents,   Family   Income,   Personal   Goal,  

Relations  with  Peers  and  Personal  Belief  

Influence:  N/A  

5.4  By  getting  one  agent  delinquent   likelihood,  we  can  set  up  the  patch  color.    If  a  

delinquent   behavior   is   committed,   the   agent  will   change   its   color   to   red   at   this   turn.   The  

increasing  delinquent  likelihood  will  also  cause  darker  blue.    

   

Initialization:  

The   average   population   in   a   county   in   the   United   States   is   100,000.   The   average  

percentage   of   juveniles   who   are   from   5   years   old   to   18   years   old   in   a   county   is  

17.5%.    Therefore,   the  number  of   juveniles   in  a  county   is  17500.  We  reduce  17500  by  100  

times,  which  means  the  number  of  agents  (juveniles)  in  our  model  is  175.  For  convenience,  

we  use  14*14  patch  area,  and  we  assume  there  are  196  juveniles  in  a  community.  The  initial  

state  is  that  each  agent  occupies  one  patch.  Initially,  all  the  agents  are  randomly  assigned  by  

blue  (non-­‐delinquent  with  delinquency  potential,  darker  blue  means  higher  potential),  white  

(non-­‐delinquent   without   delinquency   potential),   and   red   (delinquent).   Initially,   the   four  

investment  options  are  all  zero,  and  the  user  should  make  the   investment  proportion.  The  

number   of   crimes   of   is   zero   at   the   beginning.   The   government   income   is   10   initially.  

Investment  method  is  smooth  initially.  The  community-­‐attitude  is  positive  initially.  There  is  

no   additional   funding   at   the   beginning.   All   the   community   status   initial   values   are   zero.  

There   are   eight   attributes   of   one   agent:   personal-­‐stress,   exposure-­‐to-­‐delinquent-­‐peers,  

family-­‐income,   personal-­‐goal,   attachment-­‐to-­‐parents,   relations-­‐with-­‐peers,   personal-­‐belief,  

propensity-­‐to-­‐aggression  and  self-­‐control.  Each  of  the  attributes  has  an  initial  base-­‐value  in  

the  code,  but  those  will  not  be  shown  to  the  users.  

 

   

  11  

4.  Results  

We  used  the  BehaviorSpace  test  in  Netlogo  and  tried  different  combinations  of  government  controls  

in   order   to   find   the   most   effective   government   policy.   We   held   other   variables   constant   and  

calculated   the  average  number-­‐of-­‐crimes  and   the  average  of  mean-­‐family-­‐income  of   the   results   in  

100   runs.   As   the   Table   2.   “results   of   simulation”   suggests,   the   investment   in   police   control   is   the  

most  effective  method  in  reducing  the  number  of  crimes.  

 

Table  2.  Results  of  simulation  

   

  12  

Graph  1.  Simulation  Results  –  Family  Subsidy      

  13  

Graph  2.  Simulation  Results  –  Police  Control    

  14  

Graph  3.  Simulation  Results  –  Small-­‐Medium  Businesses  

   

  15  

Graph  4.  Simulation  Results  –  Educational  Programs  

     

  16  

Table  3.  BehaviorSpace  Results  –  Police  Control  

  17  

     

  18  

5.  Discussion  

According  to  the  Spacebehavior  Results  summary,  we  found  that  Police  Control  is  the  most  

efficient  way  to  reducing  delinquent  rate.  We  controlled  the  same  community  attitude,  investment  

method,  additional  funding.  We  changed  the  proportion  on  investment  accordingly.  We  want  to  find  

out  the  most  efficient  way  to  reducing  the  delinquent  rate  by  having  five  control  experiments.  Each  

experiment  runs  100  times,  and  finally  we  calculated  the  mean  of  the  total  number  of  crimes.  We  

found  out  that  when  we  put  more  money  on  police  control,  we  have  the  least  number  of  crimes.  The  

balanced  allocation   is   also  efficient,  which  has   the   second   least   number  of   crimes.   Family   subsidy  

control  is  least  efficient  since  it  will  lead  to  the  largest  number  of  crimes  among  the  five  options.  

We  can  also  know  that  police  control  is  the  most  efficient  way  by  telling  from  the  Interface  

(Graph  1,  2,  3,  4).  Quarterly  number  of  crimes  counts  the  number  of  crimes  per  quarter.   If  we  pay  

attention  to   its  slope,  we  can  know  how  the  crime  rate  changes  over  time.  By  comparing  the  four  

different   graphs   (corresponding   to   four   different   investment   options),   we   can   find   that   slope   of  

quarterly   number   of   crimes   curve   in   the   condition  which   proportion-­‐of-­‐police-­‐control=1   gradually  

decreases   over   the   time.   However,   in   the   condition   which   proportion-­‐of-­‐family-­‐subsidy=1   and  

proportion-­‐of-­‐business=1,  the  slope  does  not  change  at  all.  While  in  the  condition  which  proportion-­‐

of-­‐educational-­‐programs=1,   the   slope   does   decrease   a   little   bit   over   the   time,   but   does   not   have  

much  significance.  

Therefore,   both   ways   prove   that   police   control   is   the   most   efficient   way   to   reduce  

delinquency.   For   specific,   the   government   can   focus   on   police   crackdowns,   community   policing,  

police   training   and   school   police.    The   government   can   put  money   to   train   police   for   each   one’s  

specific  job  function  and  make  their  job  more  efficient.  Also,  by  developing  a  new  relationship  with  

the  citizens  in  the  community,  community  policing  can  build  partnerships  and  identify  the  problems  

more   quickly.   Moreover,   the   government   should   set   up  more   hot   spots   policing,   which   enhance  

security   for   the   high   criminal   place.   Finally,   school   is   also   a   place   that   the   government   should   be  

aware  of.    The  government  should  increase  the  security  around  schools  to  make  sure  the  safety  for  

students  (Police  and  Juveniles).  

   

  19  

6.  Reference  

Agnew,   Robert,   and   Timothy   Brezina.   2012.   Juvenile   Delinquency:   Causes   and   Control.   Oxford:  

Oxford  UP,  USA,  Print.  

 

Brodeur,   Jean-­‐Paul.   1983.   “High   Policing   and   Low  Policing:   Remarks   about   the   Policing   of   Political  

Activities.”  Social  Problems  30(5):  507-­‐520  

 

Cheung,   Nicole  Wai   Ting,   Yuet  W.   Cheung.   2010.   “Strain,   Self-­‐Control,   and   Gender   Differences   in  

Delinquency   Among   Adolescents:   Extending   General   Strain   Theory.”   Sociological  

Perspectives  53(3):  321-­‐345  

 

Jill  Davies,  Policy  Blueprint  on  Domestic  Violence  and  Poverty,  Building  Comprehensive  Solutions  to  

Domestic  Violence,  Publication  #  15,  http://www.vawnet.org/Assoc_Files_VAWnet/BCS15_BP.pdf  

 

Juvenile  Arrest  Rate  Trends,  U.S  Department  of  Justice  

http://www.ojjdp.gov/ojstatbb/crime/JAR_Display.asp?ID=qa05201  

 

Median   Income   of   Households   by   State   Using   Three-­‐Year   Moving   Averages:   1984   to   2012,  

U.S.            Census  Bureau,            http://www.census.gov/hhes/www/income/data/statemedian/  

 

Patterson,  Gerald  R.  and  Magda  Stouthamer-­‐Loeber.  1984.  “The  Correlation  of  Family  Management  

Practices  and  Delinquency.”  Child  Development  55(4):  1299-­‐2307  

 

Police  and  Juveniles      http://www.sagepub.com/upm-­‐data/30580_6.pdf  

 

Warr,  Mark.  1993.  “Parents,  Peers,  and  Delinquency.”  Social  Forces  72(2):  247-­‐264  

 

   

  20  

7.  Appendix  

  a.  Sensitivity  Analysis  

We  performed  two  sensitivity  analyses  to  test  how  responsive  are  our  results  to  the  changes  

in  parameters  that  we  do  not  manipulate.  As  mentioned  before,  our  most  effective  method  was  to  

invest   in   police   control.   Therefore,   all   the   sensitivity   analyses  were   based   on   assumption   that  we  

invest  all  the  funds  in  police  control.  All  the  variables  remain  constant  as  well.  

We  first  tested  the  sensitivity  to  the  changes  of  total  population.  We  used  a  total  population  

of   19,600   (14*14   patches)   in   our   default   setting   and   we   run   the   simulation   with   the   population  

ranges   from   10*10   to   20*20.   We   did   a   BehaviorSpace   test   for   each   population   size   with   100  

replications  to  calculate  the  average  number-­‐of-­‐crimes.  The  results  are  shown  in  Table  4.  “sensitivity  

analysis  of  crime  rate  over  the  change  of  population  size.”  As  a  result,  we  found  the  total  number  of  

crimes  increases  with  the  increase  of  population  size.  The  crime  rate  is  fairly  stable,  which  fluctuated  

between  1.10  to  1.30.  This  means  our  results  are  not  sensitive  to  the  changes  in  the  population  size.  

Therefore,  our  model  is  also  applicable  to  other  communities  with  larger  populations.  

Table  4.  Sensitivity  analysis  of  crime  rate  over  the  change  of  population  size  

Patch  size  

Number-­‐of-­‐crimes  

population  size   crime  rate  

20*20   467.14   400   1.17  19*19   399.57   361   1.11  18*18   393.71   324   1.22  17*17   326.86   289   1.13  16*16   314.56   256   1.23  15*15   288.14   225   1.28  14*14   245.00   196   1.25  13*13   221.57   169   1.31  12*12   170.17   144   1.18  11*11   136.17   121   1.13  10*10   127.14   100   1.27    

Graph  5.  Sensitivity  analysis  of  crime  rate  over  the  change  of  population  size  

 

1.00  

1.10  

1.20  

1.30  

1.40  

400  361  324  289  256  225  196  169  144  121  100  

sensitivity  analysis  of  crime  rate  over  the  change  of  population  size  

crime  rate  

  21  

For   the  second  sensitivity   test,  we  evaluated   the   relationship  between   the  additional   fund  

and  total  number  of  crimes.  The  default  setting  for  government   income  is  10,  and  users  could  add  

additional  funding  by  adjusting  the  slider  on  the  interface.  However,  additional  funding  is  not  one  of  

our   independent   variables.   Therefore,   our   second   sensitivity   analysis   tested   the   sensitivity   to  

external  conditions.  We  run  the  simulation  with  the  additional  funding  ranges  form  0  to  40,  with  an  

interval  of  5.  We  also  did  a  BehaviorSpace  test  with  100  replications  for  each  amount  of  additional  

funding  and  computed  the  average  number-­‐of-­‐crimes  for  these  replications.  The  results  are  shown  

in  Table  5.  “sensitivity  analysis  of  the  number  of  crimes  over  the  change  of  additional  funding.”  We  

found   that   the   number-­‐of-­‐crimes   decreased   dramatically   with   the   increase   of   additional   funding,  

which  means  our  results  are  very  sensitive  to  the  changes   in  external   funds.   In  addition,  when  the  

additional   funds   are   greater   than   20,   the   rate   of   decrease   started   to   drop,   which   indicates   a  

diminishing  return  of  additional  funds.    

Table  5.  Sensitivity  analysis  of  the  number  of  crimes  over  the  change  of  additional  funding  

Additional  funding  

Government  income  

Average   number-­‐of-­‐  crimes  

0   10   245  5   15   176.2  10   20   152.4  15   25   84  20   30   80.6  25   35   78.2  30   40   66.6  35   45   60.4  40   50   54.8    

Graph  6.  Sensitivity  analysis  of  the  number  of  crimes  over  the  change  of  additional  funding      

   

0  50  100  150  200  250  300  

0   5   10   15   20   25   30   35   40  

sensi]vity  analysis  of  the  number  of  crimes  over  the  change  of  addi]onal  funding  

the  number  of  crimes  

  22  

  b.  Entity,  State  Variables  and  Scale  

Our  model  has  one  main  entity:   juveniles.  The  model   consists  of  14*14  patches,  and  each  

patch  represents  100  juveniles.  The  patches  bear  no  geographical  meaning  in  regard  to  their  physical  

locations.  There  are  two  types  of  entities:  normal  (represented  by  blue  scale  color)  and  the  teenager  

who   just   committed   a   delinquent   behavior   at   the   current   turn   (represented   by   red   color).   The  

community  is  the  environment  in  which  juveniles  reside.  

The   juvenile   entity   has   9   state   variables:   personal-­‐stress,   self-­‐control,   propensity-­‐to-­‐

aggression,   exposure-­‐to-­‐delinquent-­‐peers,   attachment-­‐to-­‐parents,   family-­‐income,   personal-­‐goal,  

relations-­‐with-­‐peers,   and   personal-­‐belief.   More   specifically,   self-­‐control   (the   ability   to   consider  

consequences   before   taking   actions)   and   propensity-­‐to-­‐aggression   (the   likelihood   to   attack)   are  

determined  by   genetic   factors.   Family-­‐income   is   the  quarterly   income  of   a   family.  Attachment-­‐to-­‐

parents   and   relations-­‐with-­‐peers   describe   the   emotional   bonding   between   juveniles   and   their  

parents   or   friends.   Exposure-­‐to-­‐delinquent-­‐peers   reflects   the   likelihood   that   a   juvenile   learn  

delinquent  behaviors  from  his  or  her  peer  models.  Personal-­‐stress  is  the  level  of  strain  of  a  juvenile,  

because   people   might   cope   their   strain   with   delinquencies.   Personal-­‐goal   is   the   ability   or   the  

easiness  to  achieve  goals  and  personal-­‐belief  is  one’s  general  attitudes  towards  delinquency.    

We   also   have   12   global   variables   called   environment   variables:   direct-­‐control-­‐parents,  

direct-­‐control-­‐police,  community-­‐unemployment,  community-­‐norm,  domestic-­‐violence-­‐rate,  school-­‐

violence,   school-­‐involvement,   government-­‐initial-­‐income,  government-­‐total-­‐income,   funding-­‐apply-­‐

rate,  business-­‐index,  and  annual-­‐number-­‐of-­‐crimes.  Direct-­‐control-­‐parents  and  direct-­‐control-­‐police  

describe   the   level   of   control   that   a   juvenile   experiences   from   different   social   sources.   School-­‐

involvement   is   a   juvenile’s   engagement   in   school   activities.   Domestic-­‐violence-­‐rate   and   school-­‐

violence  describe  a  violent  this  community  is  while  the  community-­‐norm  tells  the  general  attitudes  

towards   crime   in   that   community   (positive   means   people   believe   it   is   very   wrong   to   commit  

delinquent   behaviors;   negative   means   people   regard   it   as   acceptable   to   commit   delinquent  

behaviors).  Government-­‐total-­‐income  is  the  sum  of  government-­‐initial-­‐income  and  additional  funds,  

which   is   calculated   by   funding-­‐apply-­‐rate.   Business-­‐index   therefore   describes   how   thrive   the  

community   is.   As   a   result,   community-­‐unemployment   shows   the   quarterly   unemployment   rate.  

Finally,  the  annual-­‐number-­‐of-­‐crimes  helps  us  to  calculate  the  annual  crime  rate  of  the  community.  

In  terms  of  temporal  scale,  our  model  is  using  discrete  steps.  The  unit  of  time  is  one  quarter.  

Furthermore,  there  is  no  spatial  scale  because  the  entity  is  stationary.  

 

   

  23  

  c.  Interface  Design  

There   are   four   independent   variables:   Proportion-­‐of-­‐family-­‐subsidy,   Proportion-­‐of-­‐police-­‐

control,   proportion-­‐of-­‐small-­‐medium-­‐business,   and   proportion-­‐of-­‐educational-­‐programs.   The   user  

can  allocate  different  proportions  on  those  four  options.  The  total  proportion  in  the  monitor  should  

sum   up   to   1,   and   the   user   can   use   it   to   see   whether   their   total   proportion   is   1   or   not   at   Total  

Proportion.  We  are  investigating  the  change  of  crimes  in  10  years,  thus  we  have  40  quarters  in  the  

plots.  Graph  7.  “interface  design”  shows  our  interface.  

  The  monitor  called  Number  of  crimes  is  used  to  count  the  cumulative  number  of  crimes.  The  

monitor   called   Government   Income   is   used   to   shown   the   government   income   for   total   10   years.  

Users  can  change  the  government  income  by  changing  additional  funding.    

  Investment-­‐method   means   how   the   government   puts   the   money   during   a   certain   time  

period.  Aggressive  means  the  government  puts  great  amount  of  money  during  in  the  early  years  of  

the  whole  time.  Smooth  means  the  government  allocates  money  smoothly  during  the  whole  time.  

Delayed  means  the  government  puts  great  amount  of  money  during  in  the  late  years  of  the  whole  

time.    

The  plot  named  “Quarterly  Number  of   crimes”   is  used   to   show   the  cumulative  number  of  

crimes  in  a  quarter  during  10  years.  Users  can  also  know  the  crime  rate  by  telling  from  the  slope  of  

the  curve.  

The  plot  named  “Quarterly  Average  Family   Income”  is  used  to  show  the  trend  of  quarterly  

household   income.  We   can   tell   from   the  plot  whether   the  household   income  will   increase  by   the  

decrease  of  crime  rate.  

The  last  plot  is  “Quarterly  Unemployment  Rate”,  which  is  calculated  by  the  unemployment  

people  divided  by  the  total  population.  We  can  tell  from  the  plot  whether  the  unemployment  rate  

will  decrease  by  the  decrease  of  crime  rate.  

  The   monitors   that   are   under   community   status   show   the   score   of   each   variable.   The  

maximum  score  is  100  and  minimum  is  0.    

  24  

Graph  7.  Interface  design

 

   

  25  

  d.  Process  Overview  and  Schedule  

Time  is  modeled  as  discrete  time  steps.  Each  time  step  represents  an  iteration.  At  each  step,  

an  amount  of  investment  goes  into  the  system,  distributed  proportionally  to  the  parameters  set  at  

the  interface.    

Our   model   contains   three   groups:   options,   environment   variables   and   agent   attributes.  

Attributes  are  variables  that  reside  with  an  entity,  and  do  not  contain  any  procedure  that  might  alter  

other   attributes.  Variables   are   very   similar   to  procedures,   they  may  or  may  not   contain   a   specific  

value,   but   they   will   affect   the   attributes   (state-­‐variables)   on   each   agent.   Variables   are   by   their  

nature,  intermediate  instruments  used  to  calculate  attributes.  

Factors  in  groups  will  either  influence  or  be  influenced  by  other  factors.  

I.  Options  –  first  group  

                    a.  Family  Subsidy  

                    b.  Police  Control  

                    c.  Small-­‐Medium  Businesses  

                    d.  Educational  Programs  

II.  Environment  Variables  –  second  group  

a.  Economic  Deprivation  

b.  Direct  Control  –  Parents  

c.  Direct  Control  –  Police  

d.  Community  Unemployment  

e.  Family  Disruption  

f.    School  Violence  

g.  School  Involvement  

III.  Agent  Attributes  –  third  group  

                    a.  Personal  Stress  

                    b.  Self-­‐Control  (genetic)  

                    c.  Exposure  to  Delinquent  Peers  

                    d.  Attachment  to  Parents  

                    e.  Family  Income  

                    f.  Personal  Goal  

                    g.  Relations  with  Peers  

                    h.  Personal  Belief  

 

 

  26  

Explanation  of  the  influence:    

For   specific,   when   government   chooses   to   increase   funds   on   small-­‐medium  

businesses,   it  will   decrease  direct   control   from  parents  because  parents  have   jobs   so   that  

they  do  not  have  much  time  to  control   their  children.   Increasing  small-­‐medium  businesses  

will   reduce   family   disruption   and   community   unemployment.   The   increase   of   job  

opportunities  will   increase  household  income  and  make  it  easier  to  achieve  personal  goals.  

The   decrease   of   direct   control   from   parents   will   increase   their   children’s   exposure   to  

delinquent   peers.   Also,   juveniles   are   under   less   pressure  when   their   parents   reduce   their  

control   on   their   children.   The   decrease   of   family   disruption   will   increase   juvenile’s  

attachment  to  parents.    

When   government   chooses   to   increase   funds   on   educational   programs,   it   will  

reduce  school  violence  because  schools  will  educate   students   so   that   students  will  be   less  

likely   to  be   violent.  When   the   funds  on  education   increases,  more  and  more   students   are  

able   to   get   into   schools   and   it   will   increase   school   involvement.   The   decrease   of   school  

violence  will  decrease  the  exposure  to  delinquent  peers  but   increase  the  relationship  with  

peers.  By  increasing  school  involvement,  the  relationship  with  peers  will  become  better  and  

it  becomes  easier  to  reach  personal  goals.    

When  government  allocates  funds  to  each  family  as  subsidy,  economic  deprivation  

and  family  disruption  will  decrease.  When  family  gets  subsidy  from  government,  the  direct  

control  from  parents  to  juveniles  will  decrease  because  parents  do  not  need  to  worry  to  find  

a  job  immediately  or  work  very  hard,  but  they  can  have  more  time  to  care  their  children.    

When  government  increases  police  control  funds,  the  direct  control  from  police  will  

also  increase.  Thus  the  exposure  to  delinquent  juveniles  will  decrease.  When  police  control  

increases,  school  violence  will  decrease.    

Community  also  has  its  own  attributes:  average  family  income  and  community  crime  

rate.   The   community   crime   rate   is   calculated   quarterly.   It   will   turn   to   zero   and   get  

recalculated  (cumulatively)  for  each  year.  The  goal  of  this  model  is  to  reduce  the  crime  rate.  

 

   

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  e.  Design  Concepts  

Emergence:  

The  changes  in  environment  either   lead  to  delinquent  behaviors  or  non-­‐delinquent  

behaviors  depending  on  agent’s  state  variables.  The  model  allows  us  to  study  the  effect  of  

external  environment  change  in  individual  attributes,  which  would  affect  an  agent’s  decision  

of   becoming   delinquent   or   not.   Thus,   the   model   helps   us   to   discover   the   most   effective  

policy  to  control  the  overall  delinquency  rate  in  a  poor  community,  which  has  relatively  high  

delinquency  rate.  

Adaptation:  

There   are   no   adaptation   mechanisms   in   the   models.   There   is   no   geographical  

significance   between   agents;   therefore,   there   is   no   interaction   between   neighbor   agents.  

The   decision   of   an   individual   agent   is   determined   by   the   sum   of   its   attributes,   i.e.   the  

delinquency  score.  

                           Objective:  

There   are   no   specific   objectives   for   the   agents   to   obtain.   Agents   do   not   have   a  

specific  goal  that  they  deliberately  aim  to  achieve.  We  only  want  to  see  how  the  attributes  

of  agents  respond  to  changes  in  external  variables.  

Learning:  

Normally   the   probability   of   an   agent   committing   a   juvenile   delinquent   is   the  

delinquency  score  divided  by  100.   In  some  sociological   theories,  especially   labeling  theory,  

people   are   more   prone   to   commit   crimes   once   others   label   them   as   “delinquent”.   The  

number   100   will   go   down   logarithmically.   It   will   slowly   return   to   100   if   they   haven’t  

committed  a  behavior  for  a  fixed  amount  of  time.  

Prediction:  

An  agent’s  prediction  of   its  future  conditions,  either  environmental  or   internal,  will  

affect   its   present   decision.   This   prediction  mechanism   specifically   relates   to   the   “personal  

goal”   attribute  of   an   agent.  When  an  agent  predicts   that   it  will   be  hard   for  him  or  her   to  

achieve  a  specific  goal  in  the  future  (for  example,  have  $200  next  week),  that  agent  is  more  

likely   to  commit  delinquent  acts   (for  example,   theft)   to  achieve  his  or  her  goal.  Therefore,  

prediction  will  affect  an  agent’s  attributes.  

Sensing:  

There  are  no  sensing  components  in  the  model  because  there  is  no  need  for  agents  

to  perceive  their  state  variables.  There  is  no  social  network  for  agents  to  sense  each  other.  

 

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  Interaction:  

Individual  agents  interact  with  each  other  mainly  through  the  attribute  “exposure  to  

delinquent  peers.”  When  an  agent  has  a  high  number  of  delinquent  neighbors,  the  exposure  

to  delinquent  peers  is  therefore  high.  This  would  increase  that  agent’s  likelihood  of  making  

delinquent  decisions.  It  is  a  direct  interaction.  

Stochasticity:  

There  are  nine  attributes  of  one  agent:  Household  Income,  Personal  Goals,  Exposure  

to   Delinquent   Peers,   Personal   Stress,   Attachment   to   Parents,   Relationships   with   Peers,  

Personal  Belief,  Self-­‐Control.  Household  income  is  a  random  whole  number  in  a  range  from  

8,750   to   10,500   since   the   quarterly   median   household   income   in   a   relatively   poor  

community   is   $40,910   (U.S.   Census   Bureau).   Exposure   to   Delinquent   Peers   is   a   whole  

random   number   between   0   and   30   since   the   juvenile   delinquency   rate   is   30%   (U.S  

Department   of   Justice).   Self-­‐Control   is   a   random   number   between   20   and   80.   All   other  

attributes  are  randomly  assigned  the  value  from  0  to  100.  

Collectives:  

There  are  no  collectives  in  the  model.  Because  there  is  no  network  in  our  simulation,  

it  is  not  particularly  meaningful  to  put  agents  with  the  same  culture  together.  

Observation:  

In  the  model  interface,  there  is  a  graph  with  196  (14*14)  agents.  Their  display  color  

is   either   red   or   blue.   Red   indicates   the   agent   is   committing   a   delinquency,   while   blue  

indicates  the  agent  is  in  a  normal  state.  An  agent  will  turn  back  to  blue  after  committing  the  

crime   and   an   agent   could   commit  multiple   number   of   crimes   in   a   year.   The   crime   rate   is  

calculated  by  the  total  number  of  crimes  in  the  community  divided  by  the  total  population.  

Therefore,  graph  in  the  interface  would  record  each  crime  and  plot  the  number  of  crimes  in  

a  year  as  output.  The  graph  would  reset  to  zero  at  the  beginning  of  the  next  year.  In  this  way  

we  could  compare  the  crime  rates  to  see  the  effect  of  our  government  policies.