Munich Personal RePEc Archive
Crime and regional growth in Italy
Lanzafame, Matteo
Università degli Studi di Messina, Dipartimento SEAM
February 2013
Online at https://mpra.ub.uni-muenchen.de/44343/
MPRA Paper No. 44343, posted 13 Feb 2013 14:56 UTC
Crime and regional growth in Italy
Abstract
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Keywords: #
JEL Classifications: #$% &' ( '
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Crime and regional growth in Italy
1. Introduction
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2. Data and preliminary analysis
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+Figure 1. Descriptive statistics
−20246
1970 1980 1990 2000 2010
Labour productivity, % growth rate Crime rate Mean regional values
CAL
SIC CAM
PUG SAR
LIG
BAS LAZ PIELOM
MOL TAA ABR EMR FVG VEN TOS UMB MAR
051015Crime rate
Mean values, 1970−2005
−.15−.1−.050.05.1Labour productivity, % growth rate −1 0 1 2 3
Log of crime rate
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8
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3. Model and empirical methodology
-
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3-:68 -
% = # 3 8
$&
ω λ
= + 3$8
*
$ '
= 3 8 = $ ( %
# $& !
3 8 '' ''' -
-:6 3 8
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@
$&
ω λ
= + 3%8
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1 ) 31() 8
3%8
F
' '
)
* * + +
* +
$&
ω ρ
−λ
−= =
= + ∑ + ∑ + 3&8
3.1. Estimation framework
2 =
- 3$' $ $' $ 8 -
3&8 = $ ' = $ (
'
$&
ω λ ′
= + + = φ ′ ! + ε 3+8
$& = π ϕ + ′ + ϑ ! + ϑ ! + υ 358
! = ο ′ !
−+ ς = κ ′
−+ ς 378
!
⋅⊂ !
! φ - ε
σ
$- $& !
! -
! 3 ο = κ = 8
$& $&
$& ! .
3+8 378 3 8 ( $& )
6 ' (
!
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1 !
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0 " 3 "8 6 / 3 **+8
- "
φ ′ ! 1
-
2 6 3$''58 ?#
# = , 3##=8
- ##=
! !
: 6 3$''58
3+8
( )
! = φ
−− − ω λ ′ $& − ε 398
'
φ '
−φ
=
= ∑ 4 '
− '=
= ∑ 4 ω '
− 'ω
=
= ∑ 4 λ '
− 'λ
=
= ∑ $& '
− '$&
=
= ∑
'
ε '
−ε
=
= ∑ : ' → ∞ φ ≠ ' ε = '
3+8
$&
$$&
ω λ ′ ε
= + + + + 3*8
- # # = " 3##= "8 "
3*8 - ##= "
$
G
'G
$$ ,
'
λ
−λ
=
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5. ##=
! ! φ -
##=
##=
. 3*8
= - 3$' $ 8
1 " 31 "8
? , - 1 "
D
$ (
$&
λ
=
= ′ + ∑ + ⇒ G ≡ G
•3 '8
$& G
ω λ ′
•= + + + + 3 8
- / 3 '8
( − - 3 8
G
•? ,
7!
3 '8
( −
5A
3*8 # # = 6 3##=68
7- ? , ! ! !! 3
8
%
3 G
•8 !
3 8
G
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G
•!
9- ##= 1 "
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1 "
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,
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λ
−λ
=
= ∑ = 1 "
- #
= 3$''*8 G
•λ !
1 " ##= "
##= " 1 "
;
- !
9( ? , 36 *9&8 =
- 3$' $ 8 . 3$''98
B ( '; →' -
= 3$''*8 1 "
* 2 1 " = - 3$' $ 8
##=
&
3.2. Estimation results
A " 1() 3&8 @
'
:
3 ( $''58
1 /
# 3/ #8 1() 3 '8
2 -
/
2 ( $& )
3 $' $8 A
( $& ) -
$&
$&
- " - /
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:
'1 $& 1
) 2 : 31):8 3) 2 : *7*8 - 1): - 1 1 ! B
A
1() 3 '8
+
< + 5
1
" 2
- 2
3#)8 6 3$''&8
Table 1. Standard MG estimations and CD test
= " " " "
)
− ' ' ' ' '9'H ' ''+ ' '7$H
$& ' ''+II ' ''$II
$& ' ' +II ' ' 'II
' '%$II ' '%+II ' '%+II ' '%*II
J
'K + 5
#) $+ 55 $+ $+ $5 '7 $+ &&
' ''' ' ''' ' ''' ' '''
. D II H K 'K 6
< 3 ** 8
- #)
( )
$
' '+ + +
$ (
' '
−ρ
= = +
= − ∑ ∑ ⌢ 3 $8
ρ ⌢
+(
++ : (
+> % '
5
( ) '
$ ∼ ' #)
2
E " #)
- 1
B 1
" 2
- ##= " 1 "
Table 2. CCEMG and AMG estimations: Model specifications with $&
= ##= " ##= " 1 " 1 " 1 " 1 "
)
−
G•−
G•− ' $5I ' &'I ' $*5II ' %'7II ' %%%II ' %$+II
$& ' ''$I ' ''%II ' '' ' ''$H ' '' ' ''$H
# ' 99%II ' 9*$II
' ''$ ' ''+ ' '&+II ' '&5II ' '&7II ' '&9II J
'K % % %
. D II I H K +K 'K 6
< 3 ** 8
Table 3. CCEMG and AMG estimations: Model specifications with $&
= ##= " ##= " 1 " 1 " 1 " 1 "
)
−
G•−
G•− ' &H ' $ I ' $99II ' $*$II ' %$+II ' % +II
$& ' ''*II ' ' 'II ' ''5I ' ''*II ' ''& ' ' 'II
# ' 99% ' 999II
' ''$ ' ''+ ' ''5H ' ''9 ' ''$ ' ''7H
J
'K $ % $
. D II I H K +K 'K 6
< 3 ** 8
7
- $ ##= " 1 " $& -
##= "
!
1 " $& 3 ' 8
1 " -
- % $&
!
$& ' ''$
$&
' ' '
!
4. Extensions and robustness of the results
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2 2
$& $& < !
3&8
/ 2 3
/ **&4 # $''%8 : 2 3 **$8
D
( )
% = . /
α δ#
− −α δ3 %8
9
$ '
= = $ ( % #
-:6 . / 2
α δ
1 -:6 @ 3$8 = ω λ + $&
@
$& 0
γ ζ α δ
= + + + 3 &8
( )
γ = ω − α δ − ζ = λ ( − α δ − ) 0
$& A 3&8 3 &8
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- 2
) 2
. 3
# $''%4 # $''+8D
( )
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−3 +8
*
1 !
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$1 -
3$''&8 @ D
/# =
π( )3 58
/#
7 π = ' '7
% &- 1
##= " 1 " 2
<
@
3 &8 ;
= - 3$' $ 8 !
@ "
4.1. Panel Granger causality tests
: " 3 *5*8 % ?" ,
2 % 2
$: # 3$''+8 2 .' 1'
(
+)
1'%A / ) - 3$''&8
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1 # 3$''%8 # 3$''+8
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B
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!
3 1 $'''4
. ( A $'' 4 LM $''58 1
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-
< = 2 3 *998
" 3C1(8
2 ω β 2
−δ %
−= =
= + ∑ + ∑ + 3 78
$ '
= = $ ( ω 3 8 !
2 3 78
'
D
$'
' ' '
/ '
−δ '
−δ '
−δ
= = =
= = =
∑ ∑ ∑ 3 98
- % " 2 3 D % → 2 8 -
3 98 "
+1 3 '8 B 1):
3 &8 0 0 ;
!
$
" 1 "
5
)
!
= $ 1
;
1 - & " 1 " "
<
B
Table 4. Panel Granger Causality Tests
Estimator
Null hypothesis MG MG AMG AMG
→$& ' + ' *% & ' % &*
$& → 9 7$II * +9II ' 97 & 7%H
→0 ' $$ ' %7 ' ' ' $%
0 → 9 77I 7 59II 7 '+I 7 ''I
→ $+ 7$II 9 +7II 5 *7I & $
→ + $5H ' +% 55 ' %9
( . N . N
. D I H +K 'K F→F ? " ,
/ < 3 ** 8
5A 1 " ##= "
1 ##= @
D " @
" 2 2 1 " ##= "
$$
2
0
" : "
2 $& 1 "
2
7! !
3 &8
4.2. Extended model results
- ##= " 1 " 3 &8 - + 5
" 0 $& 3 $& 8 !
9
-
? , -
' '' $& ' ''7 $&
- + 5 -
3 0 8
%% %9 0 9
7- #) 36 $''&8 "
3 8 - "
9- - + 5 A
D -
$%
Table 5. CCEMG and AMG extended model estimations: Specifications with $&
= ##= " ##= " 1 " 1 " 1 " 1 "
)
−
G•−
G•$& ' '' I ' '' I ' '' H ' ''$H ' '' II ' ''$I
0 ' %5%II ' %+9II ' %79II ' %7$II ' %%%II ' %%$II
' $' ' 5% ' 'I ' +I ' $ I ' %H
# ' **+II ' **$II
' '' ' '' ' '$*II ' '$*II ' '$9II ' '$9II
J
'K ' '
. D II I H K +K 'K 6
< 3 ** 8
Table 6. CCEMG and AMG extended model estimations: Specifications with $&
= ##= " ##= " 1 " 1 " 1 " 1 "
)
−
G•−
G•$& ' ''7II ' ''9II ' ''7II ' ''*II ' ''7II ' ''*II
0 ' %7' ' %5&II ' %9&II ' %75II ' %%7II ' %%9II
' 9$ ' 77 ' & I ' & I ' +$I ' %7I
# ' **9II ' **&II
' ''' ' ''$ ' ''% ' ''% ' ''$ ' ''&II
J
'K ' '
. D II I K +K 6
< 3 ** 8
3 &8
*
*A 3 &8 − -
- 1$ 1% 1 ! - + 5
$&
5. Discussion of the results
-
, 1
!
B
! /
*7' $''+ *
@
$&
( )
I
= − ζ G $& − $& $& (
− ($&
=
= ∑
- + ζ G = − ' '' A
33#4 8
( )
I
G
3#4 = − = − ζ $& − $& 3 *8
' 3#4 >
$& = $&
: $ 3#4
A ! .
$+
-
$ $ 6 7 0 7 +' C : C
" = ( - E * %
3#4 + 9
# 3#4 *7' $''+ $*
' 9 -
/ 7 7 ' + $ 5 ' %+
#
$'Figure 2. PLOSS by region: Models with CRit, ζ = 30.001
−.20.2.4.6.8 Average annual loss
−100102030Cumulative loss
PIE LOM TAA VEN FVG LIG EMR TOS UMB MAR LAZ ABR MOL CAM PUG BAS CAL SIC SAR Cumulative loss Average annual loss
- B
@ $&
$& 2 2
-
: $ 2
$': - 1& 1 !
$5
@
6. Conclusions
- :
!
2
# !
2 3 "8 36 / **+8
6 3$''58 = -
3$' $ 8 0 ?# # = " , 3##= "8
?1 " , 31 "8 : = - 3$' $ 8
? , "
1
! *7' $''+ /
' %+ ' 9
1
! !
$7 - 2
References
1 6 6 / 1= 3$'''8 / D
& 5 ! 9$D 9$0$
> . / 3$''98 ) : 1 6 (
%D 9* 5%
> / 3 **&8 - D =
) ! 7 %&D &%0 7%
6 # / 3$''%8 - D 1 8 0 3
7 $D % $'5
6 6 6 3$' $8 ) O ) !
D ' ;B +&$ &77& $' $ ' '9+ !
2 6 > L $''' P) / # " OQ
& 5 *'D 5'09%
/( = 3$''*8 # / ) . 6 D 1 .
= 6(1 6 . 797'
6 3$''*8 . 2 D =
! & 5 $9D 7
# : 3$' 8 A O
, $ $D & 5*
$9
# : 3$''+8 1 / 0 ! , 5
31 ) 8 . <
# 2 > 3$''98 = D D
/
) C E 3$' 8 @ :) D 1
) ! 3 7 $7D %$ &$
) # = 3$' '8 ) # = " O .70 5%D %%' %&+
) 2 )1 : A1 3 *7*8 ) = 1 - /
E ( ) ! 7&D &$7 &%
= 3$' $8 = 6 - / < /
) $D 5 7
= - : 3$' $ 8 . - D / < 1
6 1 4-! 8 ! D ' ;B &59
''9& $' $ ''7$' !
= - : 3$' $ 8 6 1 " 6
= / A 2 6 + + ) = E !
" #A> 3 *5*8
%7D &$&0&%9
< # 3 ** 8 < ( ( ( O ( 8 $D $ $5
< = 2 ) . A ( </ 3 *998 =
+5D %7 0 %*+
LM 3$''58 =! D " =#)
$%D *790**$
3$''*8 O & &%D '' ' %
3$' '8 - %*D 977
9*+
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7 $ 8 0 %9D '+ '75
3$''58 # 89 9
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2 ." ( ) A ). 3 **$8 1
7 ) ! '7D &'7 &%7
# " 3$''78 1 & 5 !
D &+'0&5$
. ( E A ) 3$'' 8 # D 2 :)
4-! 8 !
5%D +%0 7
6 ( 6 : 3 **78 / D
$ 7 9 $*70% 9
6 1 3 *9&8 = 1 ( " (
1 & 5 $+D $$ $&7
6 " 3$''&8 / D
*+ 0 ** ( &D 0%&
6 < 3$''&8 " ) - # / ) 6 R1
) 6 / )6 . $&'
6 < 3$''58 =
7&D *570 ' $
6 < / N / ( 3 ***8 6 " = ) <
6 ) ! *&D 5$ 5%&
6 < / ( 3 **+8 = ( ) <
6 ) ! 59D 7*0 %
%'
6 6 3$' $8 - D 2
A 2 6 . 959
6 ( 3 **%8 2 ) 2 6 E 6 6 .>
- - 1 ) / 3$''&8 - 2
E / ) / = / A 2 6 .
% &$
% Appendix
Table A1. ADF unit root tests on $&
( $ # (
6 6 = ' & 5II
' % +99I
- 1 1 -11 ' & &++II
C C=. ' + $5%II
: C " :C" ' & %5*II
" ' % 9$+I
= ( = ( ' + $+%II
- - / ' $ 9''
E E % 5$5
1( ' 7 7%II
1R ' & +7$II
1 1 ( ' + &+II
$ & %*&II
# #1 $ % %+H
1 6E" ' $ $%%
1/ & % +%$I
# #1 % 7$*I
/ / # ' &&&
/ /1( ' & 5+'II
. D - C ,1 6 36 =8 II I H
K +K 'K 1 1):
@ . 6 3 **+8
Table A2. CCEMG and AMG extended model estimations: Specifications with $&
= ##= " ##= " 1 " 1 " 1 " 1 "
)
−
G•−
G•− ' & I ' 5*II ' %'+II ' % 5II ' %& II ' %%9II
$& ' ''$II ' ''$I ' '' ' ''$I ' ''' ' ''$I
0 ' %$9II ' %$%II ' '%&7II ' %%+II ' %$'II ' %'*II
' $'% ' *' ' '*$ ' '*% ' ' ' '99
# ' 9**II ' *'+II
' ''% ' ''+ ' '%7II ' '%7II ' '%9II ' '%9II
J
'K ' ' '
. D II I K +K 6
< 3 ** 8
%$
Table A3. CCEMG and AMG extended model estimations: Specifications with $&
= ##= " ##= " 1 " 1 " 1 " 1 "
)
−
G•−
G•− ' %9I ' &%I ' $**II ' %'7II ' %%5II ' %$5II
$& ' ''7II ' ''9II ' ''+H ' ''7I ' ''& ' ''9I
0 ' %%+II ' %%$II ' %+'II ' %%5II ' % *II ' %'*II
' 5+ ' +9 ' $ H ' *H ' %5H ' 5
# ' 9*7II ' *'%II
' ''% ' ''+ ' '' ' '' ' ''+ ' ''&
J
'K
$
. D II I H K +K 'K 6
< 3 ** 8
Table A4. PLOSS by region: Models with CRit, ζ = 30.001
( $ # 3#4 1 3#4
6 6 = $ 9 ' '5
% ' '*
- 1 1 -11 5 57 ' *
C C=. 7 & ' $
: C " :C" 7 %' ' $'
" 75 ' '+
= ( = ( 5 9* ' *
- - / 7 &5 ' $
E E 7 +7 ' $
1( * %$ ' $5
1R *7 ' '+
1 1 ( 5 7' ' *
+ 75 ' 5
# #1 $ +9 ' %+
1 6E" 7 &9 ' $
1/ ' *+ ' '%
# #1 $9 ** ' 9
/ / # 7 57 ' &*
/ /1( & 9' ' %