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UNCORRECTED PROOF
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; LOL;F @IL?MN C Q? KO;HNCN;NCP?FS G;J ;H> ;H;FST? MJ;NC;F J;NN?LHM I@
L?=L?;NCIH;F OM? CC 4? KO;FCN;NCP?FS ?R;GCH? >?G;H>M I@ @IL?MN PCMC
NILM =IH=?LHCHA J?L=?CP?> ;H> P;FO?> # ;H> ?P;FO;N? MJ;NC;F J;NN?LHM
CCC 4? ;H;FST? >LCP?LM I@ J?L=?CP?> # ;H> NB?CL CHfO?H=? IH J;NBQ;S
=BIC=?
UNCORRECTED PROOF
+>+7+9'1 '3*8)'5+'3*"7('31'33/3- === ======
2. Methods
9:*> '7+'
1B? MNO>S ;L?; =IHMCMNM I@ NB? OL<;H @IL?MN I@ OAM<OLA ;H> NB? LOL;F
“LOAA?L”@IL?MN FI=;N?> ;JJLIRCG;N?FS EG ?;MN I@ NB? =CNS I@ OAM
<OLA CH NB? $?LG;H #?>?L;F 0N;N? I@ ;P;LC; #CA 1B? OL<;H @IL
?MN ;L?; G?;MOL?M ;JJLIRCG;N?FS B; CNS I@ OAM<OLA &N
CM QCNBCH NB? <IOH>;LC?M I@ NB? =CNS I@ OAM<OLA CHB;<CN;HNM
)@0N;N
1B? LOL;F @IL?MN ;GIOHNM NI ;JJLIRCG;N?FS B; 1B? MO<=IHNC
H?HN;F =FCG;N? B;M ;H ;P?L;A? N?GJ?L;NOL? I@ _ ;H> ;H ;P?L;A?
JL?=CJCN;NCIH I@ GG – 1B? OL<;H @IL?MN CM MCNO;N?> IH
;H ;FFOPC;F fII>JF;CH QBCF? NB? LOL;F @IL?MN CM IH BCFFS N?LL;CH IG
J;L?> NI JIN?HNC;F H;NOL;F P?A?N;NCIH 4;F?HNIQMEC "Q;F> #CM=B?L
(]FFCHA 1^LE @IL?MN NL?? =IGJIMCNCIH B;M <??H ;FN?L?> &H
NB? OL<;H @IL?MN ;L?; BCMNILC=;F >?@IL?MN;NCIHM )I>?L?L ;H> ?G
<;HEG?HNM @IL fII> JLIN?=NCIH F?> NI MJLO=? NL??M /)+' '(/+8
MJJ QBC=B GI>Ce?> NB? ILCACH;F LCJ;LC;H NL?? MJ?=C?M =IGJIMCNCIH
1B? LOL;F @IL?MN ;L?; CM >IGCH;N?> <S MJLO=? /)+' '(/+8 MJJ QCNB ;
MB;L? I@ NB? H;NOL;FFS >IGCH;HN <??=B '-:8 8>1;'9/)' &H <INB
;L?;M @IL?MN G;H;A?G?HN ;CGM ;N GCR?> MJ?=C?M MNLO=NOL?> ;H> OH
?P?H;A?> @IL?MNM QCNB M?F?=NCP? B;LP?MNCHA #IL?MN LI;>M NIN;F EG
∼ G B;h− CH NB? OL<;H @IL?MN ;H> EG ∼ G B;h− CH NB? LOL;F
@IL?MN 1B? OL<;H @IL?MN CM ;H IF> H;NOL? =IHM?LP;NCIH ;L?; ;H> CM
F;LA?FS ; >LCHECHA Q;N?L JLIN?=NCIH ;L?; 0=BL;O>S 1BCM @IL
G?L fII>JF;CH @IL?MN MBIQM ; GCRNOL? I@ @IL?MN NSJ?M CM =LIMM?> <S
G;HS =;H;FM ;H> CM @L;G?> IH NB? ?;MN?LH MC>? <S NB? LCP?L )?=B 0IG?
L;L? JCH?B?;NB ?=INIH?M QBC=B CH=FO>? M?P?L;F IL=BC>M ;L? FI=;N?> IH
JIIL M;H>S MICFM 1B? LOL;F @IL?MN CM MJLO=?>IGCH;N?> QCNB GIL? @;
PIL;<F? ALIQNB =IH>CNCIHM ;H> QCNBION L?G;LE;<F? Q;N?L <I>C?M 1B?L?
;L? HI =IHMNL;CHNM @IL H;NOL? =IHM?LP;NCIH IL >LCHECHA Q;N?L JLIN?=NCIH
1B?M? =IH>CNCIHM =IG<CH?> QCNB FIQ?L L?=L?;NCIH JL?MMOL? L?MOFN CH ;
MNLIHA @I=OM IH QII> JLI>O=NCIH ;H> ;MMI=C;N?> MOLJFOM A?H?L;NCIH &H
=IHNL;MN NB? OL<;H @IL?MN B;M ; FIQ?L N;LA?N?> ;HHO;F QII> B;LP?MN
0=BL;O>S -?CNTM=B 0=BL;O>S &H =FIM? JLIRCGCNS EG
<Og?L I@ <INB @IL?MNM FCP? ;JJLIRCG;N?FS J?IJF? OL<;H @IL
?MN ;H> J?IJF? LOL;F @IL?MN L?MJ?=NCP?FS 0N;NCMNCM=B? UGN?L >?M
OH>?M OH> >?L )XH>?L
:7;+> '3* *'9'
4? >?P?FIJ?> ; J;J?L<;M?> MOLP?S @IL <INB NB? LOL;F ;H> OL<;H @IL
?MN J;LNFS <;M?> IH %OHTCE?L ?N ;F ;H> "FM;MM?L INB
MNO>C?M CHP?MNCA;N? PCMCNILM’JL?@?L?H=?M @IL L?=L?;NCIH 4? ;>;JN?> CN?GM
@IL # @IL?MN =B;L;=N?LCMNC=M ;H> MI=CI>?GIAL;JBC= @;=NILM &H =IH
NL;MN NI NB?CL ;JJLI;=B?M Q? G;JJ?> PCMCNIL J;NBQ;SM ;H> FCHE?> NB?G
NI NB? L;NCHA I@ >C@@?L?HN # 4? MNLO=NOL?> NB? MOLP?S CHNI @IOL G;
DIL M?=NCIHM #CLMN Q? ;ME?> NB? L?MJIH>?HNM @IL G;DIL =B;L;=N?LCMNC=M
I@ NB?CL L?=L?;NCIH;F <?B;PCIL ?A NB? >OL;NCIH I@ NB?CL PCMCN >?J?H>
CHA IH J?L=?CP?> Q?;NB?L =IH>CNCIHM ;H> IH NB? PCMCN;NCIH L;N? 0?=
IH> Q? ;ME?> NB? L?MJIH>?HNM NI C>?HNC@S ;H> L;N? #M 5+')+97'3
6:/1/9>,:3 '3* .'55/3+8885479)441/3-9/2+ </9. ,'2/1> '3* ,7/+3*8
.+'19.+8)'5+ ,742 +;+7>*'> 1/,++=5+7/+3)+ 3'9:7+,7+8. '/7*4- <'10
/3- IH ;H IL>CH;F eP?MN?J M=;F? HIN ;JJFC=;<F? L;NB?L HIN ;JJFC=;
<F? H?ONL;F L;NB?L ;JJFC=;<F? ;JJFC=;<F? 1B?M? #M Q?L? F;N?L =;N
?AILCT?> ;M L?AOF;NCHA "00 @L?MB ;CL =IIFCHA ?R?L=CM? >IA Q;FECHA
MJILN IL BOG;H Q?FF<?CHA @OH ;H> B;JJCH?MM ?RJ?LC?H=? H;NOL? ?M
=;J? ?P?LS>;S FC@? NCG? QCNB @;GCFS ;H> @LC?H>M J?;=? ;H> NL;HKOCF
CNS B?;FNB 1BCL> Q? ;ME?> J;LNC=CJ;HNM NI >L;Q NB?CL J;NB IH ; NIJI
AL;JBC= G;J QCNB ;H CHN?LPC?Q?L LH<?LA?L %CHN?L<?LA?L
)OJJ ?N ;F 1B? CHN?LPC?Q?LM Q?L? >CMNLC<ON?> ;FIHA NB? G;CH
@IL?MN ;==?MM JICHNM NI G;E? NB? G;JJCHA GIL? MJ;NC;FFS L?JL?M?HN;NCP?
2MCHA IJ?H?H>?> KO?MNCIHM Q? ;FMI ;ME?> NB? J;LNC=CJ;HNM NI ?RJF;CH
NB?CL J;NBQ;S =BIC=? ?A JL?@?L?H=?M ;H> GINCP;NCIHM @IL ; MJ?=Ce=
J;NB ;NNL;=NCIH NI IL ;PIC>;H=? I@ >C@@?L?HN JF;=?M );MNFS Q? ;ME?>
NB? J;LNC=CJ;HNM QB?NB?L NB?S J?L=?CP?> >C@@?L?HN @IL?MN =B;L;=N?LCMNC=M
;FIHA NB?CL =BIM?H J;NBQ;S 1;<F? 1BCM KO?MNCIH Q;M >?MCAH?> NI
JLIPC>? CHMCABN ;<ION QB?NB?L @IL?MN =B;L;=N?LCMNC=M Q?L? ; >?N?LGCHCHA
@;=NIL @IL L?=L?;NCIH;F <?B;PCIL 4CNBION PCMCNIL ALIOJM’L?=IAHCNCIH I@
MJ?=Ce= =B;L;=N?LCMNC=M @IL?MN G;H;A?G?HN =IOF> JIN?HNC;FFS >CML?A;L>
MIG? G;H;A?G?HN IJNCIHM ;FIHA @IL?MN J;NBM QCNBION >CGCHCMBCHA NB?
L?=L?;NCIH;F ?RJ?LC?H=? 1;<F? MBIQM NB? G;CH =IHN?HNM I@ NB? KO?M
Fig. 1. 2L<;H @IL?MN =FIM? NI NB? =CNS I@ OAM<OLA ;H> LOL;F @IL?MN <?NQ??H OAM<OLA ;H> *OHC=B
UNCORRECTED PROOF
+>+7+9'1 '3*8)'5+'3*"7('31'33/3- === ======
Table 1
-IN?HNC;F P;LC;<F?M ?RJF;CHCHA NB? P;LC;NCIH CH L;NCHAM I@ # NB? P;LC;<F?M ;L? HIGCH;F 7
8 IL>CH;F 7R8 IL =IHNCHOIOM OHCN CH>C=;N?>
&H>?J?H>?HNP;LC;<F? 2HCNM=;F?
2L<;H@IL?MN 78
/OL;F@IL?MN 78
47+89).'7')9+7/89/)8
IHC@?LIOMNL??M 7–L;NCHA8
LI;>F?;@NL??M 7–L;NCHA8
*;HS<L;E?M;H><OMB?M 7–L;NCHA8
!?;>NL??M 7–L;NCHA8
/CP?LQ;N?L=;H;FMF;E?M 7–L;NCHA8
!;LE 7–L;NCHA8
F?;LCHA 7–L;NCHA8
OMB?M@IL?MN?>A? 7–L;NCHA8
%CABNL??M@IL?MN?>A? 7–L;NCHA8
!7'38547924*+
CE? 78
4;FECHA 78
-O<FC=NL;HMJILN 78
;L 78
#L?KO?H=SI@PCMCN 7–8
!/2+
!;SNCG? 7B8
4CHN?L 78
0OGG?L 78
4??E>;S 78
4??E?H> 78
#/8/9*:7'9/43
$II>Q?;NB?L 7GCH8
;>Q?;NB?L 7GCH8
4)/4*+24-7'5./)5'7'2+9+78
-?LMIHMCHBIOM?BIF> 7H8
A? 7;8
">O=;NCIH;=BC?P?G?HN 7–8
%IOM?BIF>CH=IG? 7–8
!CMN;H=?NIL?MC>?H=? 7EG8
#/8/947-74:5
#;GCFC?M 78
4;FE?LM 78
%CE?LM 78
!IAQ;FE?LM 78
'IAA?LM 78
+IL>C=Q;FE?LM 78
/C>?LM 78
S=FCMNM 78
*IOHN;CH<CE?LM 78
,NB?LM 78
NCIHH;CL? ;M Q?FF ;M NB? IJNCIHM @IL ;HMQ?LCHA =FIM??H>?> KO?MNCIHM
1B? L;NCHA M=;F? I@ @IL?MN =B;L;=N?LCMNC=M B;> NB? M;G? MN?JM ;M NB? #
CH>C=;N?> ;<IP?
4? =IH>O=N?> NB? CHN?LPC?QM CH 'OFS ;H> !?=?G<?L ;H> CH ';H
O;LS IH Q??E>;SM ;H> IH Q??E?H>M #IL?MN PCMCNILM Q?L? MOLP?S?>
>OLCHA NB? ?HNCL? >;S NI <?NN?L =;JNOL? NB? J?;EM I@ >;SNCG?>?J?H>?HN
@IL?MN OM? <S >C@@?L?HN ALIOJM ;M MBIQH <S LH<?LA?L !OLCHA
NB? JF;HH?> MOLP?S J?LCI> Q? I<N;CH?> =IGJF?N?> KO?MNCIHH;CL?M
QCHN?L MOGG?L OL<;H LOL;F @IL NB? J;L;G?N?LM CH
1;<F? &H ;>>CNCIH NI NB? PCMCNILM Q? MOLP?S?> Q? =IOHN?> NB? HOG<?L
I@ PCMCNILM ?HN?LCHA ;N NB? L?MJ?=NCP? ;==?MM JICHNM 4? JF;=?> NB?G CHNI
NB? G;DIL =;N?AILC?M C>?HNCe?> <S )OJJ ?N ;F
1I L?>O=? M;GJFCHA <C;M =;N?AILCT?> <S "FM;MM?L Q? >?eH?>
G;DIL M;GJFCHA =LCN?LC; ;H> ;>;JN?> NB? MNO>S >?MCAH 4? G;RCGCT?>
NB? JLI<;<CFCNS I@ ; PCMCNIL ?H=IOHN?LCHA ;H CHN?LPC?Q?L <S MN;NCIHCHA
CHN?LPC?Q?LM ;N ;FF G;DIL @IL?MN ;==?MM JICHNM IH >C@@?L?HN >;SM I@ NB?
Q??E NCG? I@ >;S ;H> M?;MIHM ;M JLIJIM?> <S ?LH;NB "FM;MM?L ;H>
/IM=B?QCNT ;H> <;M?> IH NB? L?=IGG?H>;NCIH I@ FI=;F @IL?MN?LM
1B? JLI<;<CFCNS I@ ;H CHN?LPC?Q?L <?CHA ;P;CF;<F? Q;M CH=L?;M?> NBLIOAB
;>;JNCHA NB? HOG<?L I@ CHN?LPC?Q?LM NI NB? FCE?FS PCMCN;NCIH BIN MJINM
NQI NI @IOL CHN?LPC?Q?LM CHMN?;> I@ IH? CHN?LPC?Q?L 1I ;>>L?MM NB? L?
MJIHMCP?H?MM JLI<;<CFCNS C? NB? CHN?LPC?Q?L’M JL?@?L?H=? @IL MJ?=Ce=
PCMCNILM NB? CHN?LPC?Q?LM Q?L? ;ME?> NI ;>>L?MM ?P?LS NBCL> PCMCNIL CH
NB? OL<;H @IL?MN ;H> ?P?LS PCMCNIL CH NB? LOL;F @IL?MN NI ;PIC> ; M?F?=NCIH
<C;M 4? =IG<CH?> NBCM QCNB ; H?RNNIJ;MM ;JJLI;=B )OJJ ?N ;F
C@ GIL? PCMCNILM ;LLCP?> ;N IH=? 1;<F? MBIQM NB? >?GIAL;JBC= JLIJ?L
NC?M I@ NB? PCMCNILM QBI Q?L? CHN?LPC?Q?> ;H> =IGJ;L?M NB? L?MOFNM QCNB
NB? L?MJ?=NCP? =IOHNC?M’;H> H;NCIH;F >?GIAL;JBC= JLIJ?LNC?M
'9' '3'1>8/8
4? MJFCN IOL ;H;FSMCM CH C ; MJ;NC;F M?=NCIH ;H> ; CC HIHMJ;NC;F M?=
NCIH C #IL NB? MJ;NC;F M?=NCIH Q? eLMN L?F;N?> NB? HOG<?L I@ =IOHN?>
PCMCNILM J?L PCMCNIL ALIOJ 1;<F? NI NB? G;JJ?> J;NBQ;SM <;M?>
IH NB? >CACN;F F;H>M=;J? GI>?F ;S?LCM=B? 3?LG?MMOHAMP?LQ;FNOHA
;H> IH NB? MOLP?S 4? Q?CABN?> NB? =IFF?=N?> PCMCNIL J;NBQ;SM
1;<F? NI ;PIC> ;H IP?LL?JL?M?HN;NCIH I@ ?;MCFS ;==?MMC<F? PCMCNILM
?A Q;FE?LM =IGJ;L?> QCNB PCMCNILM QBI ;L? GIL? >C@e=OFN NI ;J
JLI;=B ?A =S=FCMNM 0?=IH>FS Q? =;F=OF;N?> NB? ;LCNBG?NC= G?;H
I@ NB? # L;NCHA I@ NB? @IL?MN J;NBQ;SM >IA Q;FE
Table 2
0;GJF? =B;L;=N?LCMNC=M ;H> =IOHNS OL<;H @IL?MN OAM<OLA NIQH ;H> =IOHNS LOL;F @IL?MN
C=B;=B#LC?><?LA ;H> !;=B;O =IOHNC?M ;M Q?FF ;M H;NCIH;F ;P?L;A?M
2L<;H@IL?MN /OL;F@IL?MN $?LG;HS
0;GJF? IOHNC?M 0;GJF? IOHNC?M
$?H>?LQIG?H
-+*/897/(:9/43%'&
–
–
–
–
–
–
–
4:8+.41*8/?+%5+451+&
439.1>3+9.4:8+.41*/3)42+%€&
–
–
–
–
:)1/*+'3/89'3)+,742.42+5489'1)4*+94,47+89'))+88%02&
*?>C;H
*?;H
;+7'-+2+'3;/8/9*:7'9/43%2/3&
$II>Q?;NB?L
;>Q?;NB?L
UNCORRECTED PROOF
+>+7+9'1 '3*8)'5+'3*"7('31'33/3- === ======
Table 3
.O?MNCIHCHA JLIJILNCIH <S PCMCNIL ALIOJ ;H> @IL?MN CH MOGG?L ;H> QCHN?L
2L<;H@IL?MN /OL;F@IL?MN
0OGG?L 4CHN?L 0OGG?L 4CHN?L
#;GCFC?M
4;FE?LM
%CE?LM – –
!IAQ;FE?LM
'IAA?LM
+IL>C=Q;FE?LM
S=FCMNM –
*IOHN;CH<CE?LM – –
/C>?LM – – –
,NB?LM –
CHA @L?MB ;CL ?RJ?LC?H=? H;NOL? ?M=;J? ?P?LS>;S FC@? B?;FNB NCG? QCNB
@;GCFS ;H> @LC?H>M =IIFCHA MJILN @OH ;H> B;JJCH?MM J?;=? ;H> NL;H
KOCFCNS 4? =IH>O=N?> NQI =FOMN?L ;H;FSM?M QCNB $?NCM,L> $C MN;NCMNC=M
CH L=$&0 "0/& 4? C>?HNCe?> NB? <?MN HOG<?L I@ =FOMN?LM QCNB
NB? -M?O>I #MN;NCMNC= 1B? eLMN =FOMN?L OM?> NB? ;P?L;A? HOG<?L I@ PCM
CNILM @IL ?;=B J;NBQ;S M?=NCIH NI C>?HNC@S BINMJINM @IL >C@@?L?HN PCMCNIL
ALIOJM 1B? M?=IH> =FOMN?L OM?> # L;NCHAM J?L J;NBQ;S M?=NCIH NI C>?H
NC@S J;NN?LHM I@ PCMCNILM QBI MCGCF;LFS J?L=?CP? ;H> P;FO? #
#IL NB? HIHMJ;NC;F M?=NCIH Q? ;H;FST?> BIQ >C@@?L?HN @;=NILM MO=B
;M @IL?MN HIH@IL?MN C? @;=CFCNC?M MJ;NC;F ?A NB? >CMN;H=? NI NB? @IL
?MN ?HNL;H=? ;H> MI=CI>?GIAL;JBC= @;=NILM ;@@?=N?> NB? JL?@?L?H=? @IL
>C@@?L?HN # =;N?AILC?M M?? ;<IP? 1I N?MN NB? L?FC;<CFCNS ;H> NB? CHN?L
H;F =IHMCMN?H=S I@ NB? # CN?GM Q? =;F=OF;N?> LIH<;=BM ;FJB; LIH
LIH IOJM
4? N?MN?> NB? P;LC;<F?M CH 1;<F? ;M ?RJF;H;NILS P;LC;<F?M CH NB?
L?AL?MMCIH ;H;FSMCM 4? ;JJFC?> ; =OGOF;NCP? FCHE GI>?F QBC=B CM MOCN
;<F? @IL IL>CH;F >?J?H>?HN P;LC;<F?M QCNBCH NB? / MN;NCMNC=M J;=E;A? /
!?P?FIJG?HN IL? 1?;G 4? OM?> NB? =OGOF;NCP? FCHE GI>?F
NI ?FCGCH;N? NB? HIHMCAHC@C=;HN ?RJF;H;NILS P;LC;<F?M J CH ;
<;=EQ;L> MN?JQCM? G;HH?L NI NB? C>?HNC@S L?F?P;HN CH>?J?H>?HN P;LC
;<F?M <;M?> IH NB? E;CE? CH@ILG;NCIH =LCN?LCIH 4? ALIOJ?> NB? ;H
MQ?LM @LIG NB? IJ?H KO?MNCIH ;<ION NB? J;NBQ;S =BIC=? ;H> =F;MMCe?>
NB?G ;==IL>CHA NI NB? IGGIH &HN?LH;NCIH;F F;MMCe=;NCIH I@ "=IMSM
N?G 0?LPC=?M & "0 %;CH?M5IOHA -INM=BCH ;H> >?P?FIJ?>
@OLNB?L =;N?AILC?M C@ H?=?MM;LS "KO;FFS Q? =IGJ;L?> NB? =F;MMCe=;NCIH
I@ J;NBQ;S =BIC=? IL ;PIC>;H=? QCNB NB? L;NCHAM I@ NB? # NI C>?HNC@S
JIN?HNC;F ;FCAHG?HNM
3. Results
#/8/947 /39+38/9> '3* 85'9/'1 5'99+738 4, ;/8/947 -74:58
*IMN PCMCNILM NI NB? OL<;H @IL?MN ;H> LOL;F @IL?MN FCP?> CH NB? CGG?
>C;N? MOLLIOH>CHAM J?L=?HN I@ NB? OL<;H @IL?MN PCMCNILM ;H>
J?L=?HN I@ NB? LOL;F @IL?MN PCMCNILM ILCACH;N?> @LIG NB? ;>D;=?HN OL<;H
;H> LOL;F M?NNF?G?HNM >?LCP?> @LIG NB? JIMN;F =I>?M I@ @IL?MN PCMCNILM
1B? =IOHN?> ;H> MOLP?S?> @IL?MN PCMCNILM =IH=?HNL;N?> NB?CL L?=L?;NCIH;F
<?B;PCIL IH J;NBM ;H> LI;>M CH M?P?L;F J;LNM I@ NB? OL<;H ;H> NB? LOL;F
@IL?MN #CA &H NB? OL<;H @IL?MN Q? C>?HNCe?> NBL?? >IGCH;HN ;L?;M
I@ L?=L?;NCIH;F OM? NB? HILNB?LH J;LN =FIM? NI NB? =CNS =?HN?L NB? MIONB
Q?MN?LH JCH? B?;NB ;H> NB? J;NBQ;S ;FIHA NB? )?=B /CP?L &H NB? LOL;F
@IL?MN PCMCNILM >C> HIN =IH=?HNL;N? CH =?LN;CH J;LNM I@ NB? @IL?MN &HMN?;>
NB?S NL;P?LM?> J;NBQ;S ;R?M QBC=B Q?L? GIMNFS =IHH?=N?> NI MOLLIOH>
CHA PCFF;A?M
/?A;L>CHA >C@@?L?HN PCMCNIL ALIOJM #CA Q? C>?HNCe?> @IOL PCMC
NILALIOJ =FOMN?LM CH NB? OL<;H @IL?MN ;H> NQI PCMCNILALIOJ =FOMN?LM CH
NB? LOL;F @IL?MN <;M?> IH NB? BCAB?MN JM?O>I #MN;NCMNC= M=IL?
Fig. 2. 3CMCNIL CHN?HMCNS MN;H>;L>CT?> PCMCNIL @L?KO?H=S CH NB? OL<;H ; ;H> NB? LOL;F @IL
?MN < Q? MN;H>;L>CT?> NB? HOG<?L I@ PCMCNILM NI NB? G;RCGOG HOG<?L I@ PCMCNILM J?L
J;NBQ;S M?=NCIH I@ ?;=B @IL?MN
;H> L?MJ?=NCP?FS 3CMCNILALIOJ =FOMN?L CH NB? MIONB?LH J;LN
;FIHA NB? )?=B LCP?L Q;M >IGCH;N?> <S =S=FCMNM ;H> GIOHN;CH <CE?LM
3CMCNILALIOJ =FOMN?L Q;M >IGCH;N?> <S =S=FCMNM ;H> Q;FE?LM 3CMC
NILALIOJ =FOMN?L Q;M GIL? <;F;H=?> =IGJ;L?> QCNB NB? INB?L =FOM
N?LM FOMN?LM ;H> MBIQ?> MCGCF;L PCMCNIL ALIOJ =IGJIMCNCIHM
FOMN?L =IP?LCHA GIMN I@ NB? @IL?MN ;L?; >?JC=N?> ; <;F;H=?> ;H>
F?MM CHN?HMCP? OM? <S GIMN PCMCNIL ALIOJM &H NB? LOL;F @IL?MN NB? CHN?H
MCNS I@ NB? OM? Q;M GO=B FIQ?L %IQ?P?L =FOMN?L C? NB? IH? =LIMM
CHA NB? BCABQ;S CH NB? LOL;F @IL?MN Q;M ;FMI >IGCH;N?> <S =S=FCMNM ;H>
GIOHN;CH <CE?LM =IGJ;L;<F? NI =FOMN?L CH NB? OL<;H @IL?MN FOMN?L
UNCORRECTED PROOF
+>+7+9'1 '3*8)'5+'3*"7('31'33/3- === ======
Fig. 3. 3CMCNIL ALIOJ =FOMN?LM CH NB? OL<;H ; < ;H> CH NB? LOL;F @IL?MN ; = NB? R;RCM CH ; CH>C=;N?M NB? HILG;FCT?> HOG<?L I@ PCMCNILM J?L =FOMN?L OL<;H @IL?MN =FOMN?L =FOMN?L
=FOMN?L =FOMN?L LOL;F @IL?MN =FOMN?L =FOMN?L =FOMN?L B;M NB? G;RCGOG HOG<?L I@ PCMCNILM ?KO;F NI NB? =FOMN?L HOG<?LM @IL NB? PCMCNIL ALIOJM
CH NB? <;L JFIN =ILL?MJIH> NI NB? HOG<?LM IH NB? G;JM’F?A?H>M < =
MBIQ?> <;F;H=?> OM? IGJ;LCHA <INB @IL?MNM #CA MBIQ?> NB;N IHFS
=FOMN?L CH NB? LOL;F @IL?MN Q;M GIL? CHN?HMCP?FS OM?> NB;H NB? F?MM@L?
KO?HN?> =FOMN?L CH NB? OL<;H @IL?MN 1B? J;NBQ;SM CH NB? OL<;H @IL
?MN Q?L? PCMCN?> ;<ION @IOL NCG?M GIL? @L?KO?HNFS NB;H J;NBQ;SM CH NB?
LOL;F @IL?MN ,P?L;FF NB? PCMCNIL CHN?HMCNS Q;M A?H?L;FFS BCAB?L CH NB? OL
<;H @IL?MN M?? =;JNCIH I@ #CA 1B? ;=NO;F ;H> L?F;NCP? HOG<?L I@ PCM
CNILM NI NB? OL<;H @IL?MN Q;M ?P?H BCAB?L ACP?H NB? MCAHC@C=;HNFS F;LA?L
@IL?MN ;L?; ;H> HOG<?L I@ J;NBQ;SM =IGJ;L?> NI NB? LOL;F @IL?MN
5'9/'1 )1:89+78 4, ,47+89 (+3+A9 7'9/3-8
IGJ;LCHA NB? CH>CPC>O;F L;NCHA J;NN?LHM I@ # CH NB? OL<;H ;H> NB?
LOL;F @IL?MN NB? G?>C;H ;H> NB? ;LCNBG?NC= G?;H Q?L? GIMNFS BCAB?L CH
NB? LOL;F @IL?MN ;J;LN @LIG *4- <'10/3-441/3- ;M MJ?=Ce= MOGG?L #
NB?L?<S B;> ; BCAB?L L;NCHA CH NB? LOL;F @IL?MN GIMNFS >O? NI NB? BCAB?L
HOG<?L I@ PCMCNILM CH MOGG?L NB;H CH QCHN?L 1BCM L;NCI Q;M GIL? <;F
;H=?> CH NB? OL<;H @IL?MN
/?A;L>CHA =FOMN?LM I@ # Q? C>?HNCe?> @IOL MJ;NC;F # =FOMN?LM CH NB?
OL<;H @IL?MN ;H> NBL?? =FOMN?LM CH NB? LOL;F @IL?MN <;M?> IH NB? BCAB?MN
JM?O>I #MN;NCMNC= M=IL? ;H> L?MJ?=NCP?FS #CA &H NB?
OL<;H @IL?MN =FOMN?L CH NB? MIONBQ?MN?LH J;LN L?P?;F?> ; BCAB L;HECHA
@IL 85479 ;H> *4- <'10/3- ;H> ;FMI @IL .+'19. ;H> ,7+8. '/7 1B? >IGC
H;HN J;NN?LH @IL GIMN I@ NB? ;L?; =FOMN?LM ;H> MBIQ?> ; BCAB L;N
CHA I@ ,7+8. '/7+=5+7/+3)+ 3'9:7++8)'5+ +;+7>*'> 1/,+ ;H> .+'19. 0FCABNFS
F?MM CGJILN;HN Q?L? ,:3.'55/3+88 ;H> 5+')+97'36:/1/9> FOMN?L CH NB?
MIONB?LH J;LN I@ NB? OL<;H @IL?MN B;> ; =IHMCMN?HNFS FIQ?L L;NCHA @IL
GIMN =;N?AILC?M ?R=?JN @IL ,:3.'55/3+88 ;H> 5+')+97'36:/1/9> =IGJ;L?>
QCNB =FOMN?LM ;H> J;LN @LIG *4- <'10/3- MI=C;F =IB?MCIH CH NB?
CN?G ,'2/1>,7/+3*8 CM L;N?> FIQ?L NB;H GIMN INB?L # &H NB? LOL;F @IL
?MN =FOMN?L B;> ; J;LNC=OF;LFS BCAB L;NCHA @IL GIMN # ;H> =FOMN?L
Q;M L;N?> =IHMCMN?HNFS FIQ?L ;J;LN @LIG 5+')+97'36:/1/9> ;H> *4- <'10
/3- &HN?L?MNCHAFS =FOMN?L Q;M GIMNFS @IOH> CH NB? MIONB?LH J;LN I@ NB?
LOL;F @IL?MN 1B? L;NCHA I@ # Q;M F;LA?FS =IHMCMN?HN <?NQ??H NB? LOL;F
;H> NB? OL<;H @IL?MN $?H?L;FFS NB? =FOMN?LM I@ NB? LOL;F @IL?MN ;FCAH?>
GIMN =FIM?FS QCNB NB? ;<OH>;HN =FOMN?LM ;H> I@ NB? OL<;H @IL?MN
7/;+78 4, ,47+89 (+3+A98 '3* 5'9.<'> ).4/)+
1B? =OGOF;NCP? FCHE L?AL?MMCIH ;H;FSM?M I@ NB? IL>CH;FL;N?> #
MBIQ?> ; =IHMCMN?HNFS FIQ?L L;NCHA <S PCMCNILM CH NB? OL<;H @IL?MN =IG
J;L?> NI NB? PCMCNILM CH NB? LOL;F @IL?MN @IL @IOL =;N?AILC?M 5+')+97'3
6:/1/9> .+'19. +8)'5+ +;+7>*'> 1/,+ ;H> ,7+8. '/7 1;<F? 1;<F? MOG
G;LCT?> NB? L?MOFNM @IL NB? CH>CPC>O;F L?AL?MMCIH ;H;FSM?M I@ # CH>C=;N?>
CH NB? MOJJILNCHA CH@ILG;CNIH /?A;L>CHA @IL?MN =B;L;=N?LCMNC=M ; BCAB?L
JL?P;F?H=? IL J?L=?JNCIH I@ 7/;+78 <'9+7 )'3'18 1'0+8 =ICH=C>?> QCNB ;
BCAB?L L;NCHA I@ 5+')+97'36:/1/9> ,:3 '3* .'55/3+88 .+'19. ;H> ,7+8. '/7
1B? L;NCHA I@ NB? # 9/2+ </9. ,'2/1> '3* ,7/+3*8 ;H> +8)'5+ +;+7>*'> 1/,+
>C> HIN P;LS QCNB @IL?MN =B;L;=N?LCMNC=M %IQ?P?L NB? L;NCHA I@ .+'19.
;H> ,7+8. '/7 M??G?> NI P;LS ;==IL>CHA NI NB? J?L=?JNCIH IL NB? JL?P;
F?H=? I@ @IL?MN =B;L;=N?LCMNC=M #IL?MN =B;L;=N?LCMNC=M QCNB ; BCAB?L ?R
JF;H;NILS JIQ?L @IL BCAB?L IL>?L JIFSHIGC;FM )43/,+74:8 IL (74'*1+',
97++82'3> (7'0+8 '3* (:8.+8 IL ./-. 97++8 '9 9.+ ,47+89 +*-+ >C> HIN ;@@?=N
# FCH?;LFS # =IHMC>?L;<FS CH=L?;M?> <?FIQ IL ;<IP? ; =?LN;CH NBL?MB
IF> I@ ?RCMNCHA @IL?MN =B;L;=N?LCMNC=M 1B? LIH<;=B’M ;FJB; @IL NB? #
;GIOHN?> NI 1BCM MCAHCe?> ; H?AFCAC<F? IP?LF;J I@ NB? #
/?A;L>CHA N?GJIL;F ;MJ?=NM GIMN # Q?L? L;N?> FIQ?L >OLCHA QCH
N?L NB;H >OLCHA MOGG?L ,HFS 5+')+97'36:/1/9> ;H> .+'19. >C> HIN MCA
HC@C=;HNFS P;LS >?J?H>CHA IH NB? M?;MIH /?A;L>CHA MI=CI>?GIAL;JBC=
J;L;G?N?LM IF>?L J?IJF? =IHMCMN?HNFS L;N?> GIMN # MFCABNFS BCAB?L
BCAB?L ?>O=;NCIH >?=L?;M?> NB? L;NCHA @IL MJ?H>CHA 9/2+ </9. ,'2/1> '3*
,7/+3*8 QB?L?;M ; BCAB?L BIOM?BIF> CH=IG? =ICH=C>?> QCNB ; BCAB?L L;N
CHA I@ ,7+8. '/7 #IOL # >?J?H>?> IH PCMCNIL ALIOJM MJILN ALIOJM HIL>C=
Q;FE?LM =S=FCMNM ;H> GIOHN;CH <CE?LM L;N?> 85479 ;H> .+'19. BCAB?L
@;GCFC?M L;N?> 9/2+ </9. ,'2/1> '3* ,7/+3*8 ;H> ,7+8. '/7 BCAB?L &H ;>>C
NCIH Q;FE?LM >IA Q;FE?LM ;H> GIOHN;CH <CE?LM B;> ; BCAB?L JL?@?L?H=?
@IL @L?MB ;CL 4;FE?LM ;FMI L;N?> .+'19. <?H?eNM BCAB?L 1B? L;NCHA @IL +=
5+7/+3)+ 3'9:7+ Q;M GIMNFS BCAB QCNBION =IHMC>?L;<F? P;LC;NCIH ;=LIMM
PCMCNIL ALIOJM ;H> NB?L?@IL? Q;M HIN MOCN?> @IL ; L?AL?MMCIH ;H;FSMCM
4- <'10/3- Q;M HIN CH=FO>?> ;M ; # CH NB? L?AL?MMCIH ;H;FSMCM ;M CN =I
CH=C>?> QCNB NB? PCMCNIL ALIOJ I@ >IA Q;FE?LM
UNCORRECTED PROOF
+>+7+9'1 '3*8)'5+'3*"7('31'33/3- === ======
Fig. 4. FOMN?LM I@ @IL?MN <?H?eN L;NCHAM CH NB? OL<;H ; ;H> NB? LOL;F @IL?MN < NB? <IRJFINM CH>C=;N? NB? >CMNLC<ONCIH I@ ;FF @IL?MN <?H?eN L;NCHAM ;H> NB? =IFILM L?JL?M?HN NB? ;LCNBG?NC=
G?;HM CH ?;=B =FOMN?L NB? IP?L;FF ;LCNBG?NC= G?;HM ;H> MN;H>;L> >?PC;NCIHM ;L? CH>C=;N?> CH NB? MOJJILNCHA CH@ILG;NCIH
4? OM?> ;H IJ?H KO?MNCIH NI ;ME NB? J;LNC=CJ;HNM CH ?;=B @IL?MN NI ?R
JF;CH NB?CL J;NBQ;S =BIC=? 0IG? I@ NB? GINCP;NCIHM MN;N?> @IL J;NBQ;S
=BIC=? =IOF> HIN <? ;NNLC<ON?> NI & "0 <?=;OM? NB?S L?f?=N?> <?B;P
CIL;F J;NN?LHM I@ PCMCNILM 1;<F? =IFOGH 8+)9/43 %?H=? I@
NB? ;HMQ?LM Q?L? HIN ;NNLC<ON;<F? NI & "0 M?=NCIHM I@ L?MJIHM?M
L?F;N?> NI =OFNOL;F "00 NI L?AOF;NCHA "00 ;H> IH? PCMCNIL
H;G?> JLIPCMCIHCHA "00
&H ;>>CNCIH Q? =F;MMCe?> NB? ;HMQ?LM @IL J;NBQ;S =BIC=? L?A;L>CHA
NB?CL FCHE;A? NI NB? @IL?MN ?=IMSMN?G 1;<F? =IFOGH /30'-+ 94 ,47+89
+)48>89+2 I@ NB? L?MJIHM?M Q?L? HIN L?F;N?> NI NB? @IL?MN ?=IMSM
N?G &HMN?;> NB?S ?RJF;CH?> NB?CL J;NBQ;S =BIC=? ;M 85439'3+/9>
.'(/9 ;/)/3/9> 97'38/9 IL 57+,+L7+* *:7'9/431+3-9. 4,
74:9+ $?H?L;F @IL?MN =B;L;=N?LCMNC=M Q?L? G?HNCIH?> <S I@ L?
MJIH>?HNM +IH@IL?MN ?F?G?HNM C? ?F?G?HNM CH NB? @IL?MN <ON HIN J;LN
I@ NB? ?=IMSMN?G ;GIOHN?> NI ;H> @IL?MN ;M MJ;=? @IL ?R?L=CM?
UNCORRECTED PROOF
+>+7+9'1 '3*8)'5+'3*"7('31'33/3- === ======
Table 4
#;=NILM ;@@?=NCHA NB? L;NCHA I@ @IL?MN <?H?eNM =OGOF;NCP? FCHE L?AL?MMCIH GI>?F J J J J FCH?;L ) KO;>L;NC= . =O<C= ;H> BCAB?L
IL>?L JIFSHIGC;F 9R NL;HM@ILG;NCIHM ;L? CH>C=;N?> NB? ?HNCL? L?AL?MMCIH L?MOFNM ;L? FCMN?> CH NB? MOJJILNCHA CH@ILG;NCIH ; JIMCNCP? P;FO? @IL NB? ?MNCG;N? CH>C=;N?M NB;N ;H ?RJF;H;NILS
P;LC;<F? JIMCNCP?FS =ICH=C>?M QCNB NB? @IL?MN <?H?eN L;NCHA ;H> PC=? P?LM; @IL ; H?A;NCP? P;FO?
3;LC;<F?
-?;=?
NL;HKOCFCNS
#OH;H>
B;JJCH?MM 0JILN IIFCHA
1CG?QCNB@;GCFS
;H>@LC?H>M %?;FNB
"M=;J?
?P?LS>;SFC@? #L?MB;CL
2L<;H@IL?MN − − − −
47+89).'7')9+7/89/)8
IHC@?LIOMNL??M
. −
IHC@?LIOMNL??M
LI;>F?;@NL??M.
*;HS<L;E?M;H>
<OMB?M9
/CP?LMQ;N?L
=B;HH?FMF;E?M)
!;LE)
!;LE.
F?;LCHA)
F?;LCHA. −
F?;LCHA
F?;LCHA9 −
OMB?M@IL?MN
?>A?)
OMB?M@IL?MN
?>A?.
%CABNL??M@IL?MN
?>A?.
%CABNL??M@IL?MN
?>A?9
!7'38547924*+
CE? −
4;FECHA
;L − −
!/2+
!;SNCG?
4CHN?L − − − − − −
4??E>;S −
#/8/9*:7'9/43
$II>Q?;NB?L −
;>Q?;NB?L
4)/4*+24-7'5./)5'7'2+9+78
A?
">O=;NCIH −
%IOM?BIF>
CH=IG?.
%IOM?BIF>
CH=IG?9
"8+7-74:5
#;GCFC?M
4;FE?LM
!IAQ;FE?LM
'IAA?LM
+IL>C=Q;FE?LM
S=FCMNM
*IOHN;CH<CE?LM
;H> MI=C;F =IB?MCIH MB;L?> I@ NB? ;HMQ?LM ,HFS PCMCNILM
?RJF;CH?> NB?CL J;NBQ;S =BIC=? QCNB MJ?=Ce= @IL?MN ?F?G?HNM FCE? MCHAF?
JF;HNM 1'*/41:8 '1:897/8 >?;>QII> IL @IL?MN MNLO=NOL?
&H ;>>CNCIH Q? ;H;FST?> QB?NB?L ; BCAB L;NCHA I@ # ;FMI ;JJ?;L?>
CH NB? GINCP;NCIH MN;N?> @IL J;NBQ;S M?F?=NCIH 1;<F? 1B? ;AL??G?HN
<?NQ??H ; BCAB L;NCHA I@ # ;H> NB? GINCP;NCIH @IL J;NBQ;S M?F?=NCIH
Q;M L;NB?L Q?;E 4- <'10/3- MBIQ?> ; MNLIHA ;AL??G?HN ;H> 85479 ;H>
5+')+97'36:/1/9> MBIQ?> ; =IHMC>?L;<F? ;AL??G?HN
#CH;FFS Q? ;ME?> @IL?MN PCMCNILM QBS NB?S ;PIC>?> J;NBQ;SM 1B?
G;DILCNS I@ G?HNCIHM Q?L? =LIQ>CHA @?;L ;H> OH?;MCH?MM
;H> G;HS >IAM 1B? ?HNCL? L?MOFNM =;H <? @IOH> CH 1;<F? 0 CH
NB? MOJJILNCHA CH@ILG;NCIH
4. Discussion
FF IOL L?MOFNM MOAA?MN?> NB;N MJ;NC;F J;NN?LHM I@ ?P?LS>;S L?=L?;NCIH
Q?L? F?MM >?J?H>?HN IH @IL?MN =B;L;=N?LCMNC=M ;M ?RJ?=N?> L?=L?;NCIH;F
UNCORRECTED PROOF
+>+7+9'1 '3*8)'5+'3*"7('31'33/3- === ======
Table 5
F;MMCe=;NCIH I@ NB? MN;N?> GINCP;NCIH I@ J;NBQ;S M?F?=NCIH H
*INCP;NCIH=BIM?HJ;NBQ;S
*?HNCIHM
7H8 )CHE;A?NI@IL?MN?=IMSMN?G & "0M?=NCIH >>L?MM?> & "0=F;MM
?;ONS A?H?L;F@IL?MN=B;L;=N?LCMNC=M =OFNOL;F ?MNB?NC=
-?;=?NL;HKOCFCNS L?AOF;NCHA *?>C;NCIHI@MG?FFHICM?PCMO;FCGJ;=NM
PIC>CHAHICMSCH@L;MNLO=NOL? L?AOF;NCHA *?>C;NCIHI@MG?FFHICM?PCMO;FCGJ;=NM
FCG;N?L?AOF;NCIH L?AOF;NCHA *C=LI;H>L?ACIH;F=FCG;N?L?AOF;NCIH
IIFCHAQCHN?L L?AOF;NCHA *C=LI;H>L?ACIH;F=FCG;N?L?AOF;NCIH
#L?MB;CL L?AOF;NCHA *C=LI;H>L?ACIH;F=FCG;N?L?AOF;NCIH
0JIHN;H?CNSL;H>IG OHL?F;N?> HIN
;NNLC<ON;<F?
1L;>CNCIHB;<CN HIN
;NNLC<ON;<F?
3C=CHCNSJL;=NC=;FCNSL?=L?;NCIH HIN
;NNLC<ON;<F?
1L;HMCNJ;NBQ;S HIN
;NNLC<ON;<F?
-L?@?LL?>>OL;NCIHF?HANBI@
LION?
HIN
;NNLC<ON;<F?
,<M?LPCHAQ;N?L=;H;FMLCP?L HIH@IL?MN?F?G?HNM =OFNOL;F "RJ?LC?HNC;FOM?I@JF;HNM;HCG;FM;H>F;H>
M?;M=;J?M
$II>=IH>CNCIHI@J;NBQ;S HIN
;NNLC<ON;<F?
*IHOG?HNMMCABNM =OFNOL;F "RJ?LC?HNC;FOM?I@JF;HNM;HCG;FM;H>F;H>
M?;M=;J?M
-F;SALIOH> HIN
;NNLC<ON;<F?
/?MN;OL;HNM<??LA;L>?HM HIN
;NNLC<ON;<F?
;NBCHA =OFNOL;F -BSMC=;FOM?I@F;H>M?;M=;J?M
!IAQ;FECHA @IL?MN;MMJ;=?@IL?R?L=CM?;H>MI=C;F
=IB?MCIH
=OFNOL;F -BSMC=;FOM?I@F;H>M?;M=;J?M
0JILN =OFNOL;F
S=FCHA =OFNOL;F
)?CMOL?;=NCPCNC?M =OFNOL;F
4;FEQ;S =OFNOL;F
0I=C;FL?F;NCIHM =OFNOL;F "RJ?LC?HNC;FOM?I@JF;HNM;HCG;FM;H>F;H>
M?;M=;J?M
,<M?LPCHA?HDISCHAH;NOL? MJ?=Ce=@IL?MN?F?G?HNM =OFNOL;F "RJ?LC?HNC;FOM?I@JF;HNM;HCG;FM;H>F;H>
M?;M=;J?M
0?;L=BCHA@IL@II> JLIPCMCIHCHA 4CF>JF;HNM;FA;?;H>NB?CLIONJONM
Table 6
AL??G?HN <?NQ??H NB? # L;NCHAM ;H> NB? MN;N?> GINCP;NCIH @IL J;NBQ;S =BIC=?
"00;H>BOG;H
<?H?eNM
AL??G?HNGINCP;NCIH@ILJ;NBQ;S
;H>BCAB"00L;NCHA
BCABL;NCHA7H8
-?;=?NL;HKOCFCNS
#OHB;JJCH?MM
0JILN
IIFCHA
#;GCFS@LC?H>M
%?;FNB
"M=;J??P?LS>;S
FC@?
"RJ?LC?H=?H;NOL?
#L?MB;CL
!IAQ;FECHA
;=NCPCNC?M <S >C@@?L?HN PCMCNIL ALIOJM Q?L? GIMNFS GOFNC@IF> =B;JN?L
MJ;NC;F J;NN?LHM I@ MCGCF;LFS J?L=?CP?> # Q?L? KOCN? BIGIA?H?IOM @IL
F;LA? J;LNM I@ NB? @IL?MN ;L?; =B;JN?L ;H> @IL?MN =B;L;=N?LCMNC=M
MBIQ?> ; Q?;E CHfO?H=? IH # L;NCHAM ;H> Q?L? ; F?MM L?F?P;HN L?;MIH
@IL J;NBQ;S =BIC=? =B;JN?L
#/8/947 /39+38/9> '3* 85'9/'1 5'99+738 4, ;/8/947 -74:58
#IL?MN PCMCNILM OM?> LI;>M ;H> J;NBQ;SM NBLIOABION NB? ?HNCL? @IL
?MN <ON =IH=?HNL;N?> IH M?F?=N?> TIH?M #CA 1B? =IH=?HNL;NCIH IH
G;DIL J;NBQ;SM B;M <??H MCGCF;LFS C>?HNCe?> <S GG?L ;H> -L]<MNF
1B? >?AL?? I@ =IH=?HNL;NCIH CM GIL? ?RNL?G? CH NB? OL<;H @IL
?MN NB;H CH NB? LOL;F @IL?MN QB?L? GIMN PCMCNILM OM?> G;DIL J;NBQ;SM
FCHECHA MOLLIOH>CHA PCFF;A?M FNBIOAB F;LA? J;LNM I@ NB? @IL?MN ;L?; ;L?
B;L>FS OM?> <INB NB? OL<;H ;H> NB? LOL;F @IL?MN ;L? ;FGIMN ?HNCL?FS >?M
CAH;N?> @IL L?=L?;NCIH CH L?ACIH;F @IL?MN JF;HHCHA 0N*")# QBC=B
NB?L?<S IP?L?MNCG;N?M NB? ;L?; @IL L?=L?;NCIH
,OL =FOMN?L ;H;FSMCM B;M MBIQH NB;N CHN?HMCP? OM? IHFS I==OLL?> CH
@?Q J;LNM I@ ?;=B @IL?MN PCMCNILALIOJ =FOMN?LM ;H> CH NB? OL<;H
;H> =FOMN?L CH NB? LOL;F @IL?MN #CA 1B?M? >?FCGCN?> J;LNM I@ NB?
@IL?MN GCABN <? >?N?=N;<F? <S FI=;F I<M?LP;NCIH ;H> NB? ;@@?=N?> @IL?MN
J;NBM =IOF> <? ;>;JN?> NI NB? H??>M I@ GOFNCJF? PCMCNIL ALIOJM #OLNB?L
GIL? QCNBCH NB?M? L?F;NCP?FS MG;FF M?=NCIHM @IL?MN G;H;A?G?HN =IOF>
@I=OM IH NB? ?HB;H=?G?HN I@ ;?MNB?NC=;F ?>O=;NCIH;F ;H> H;NOL? ;M
J?=NM $I<MN?L +;MM;O?L !;HC?F #LS %;OLO (IMECH?H (INT?
)?BPXPCLN; /C<? GG?L ;H> -L]<MNF JLIJIM? ;
BCAB P;LC;<CFCNS I@ NL?? MJ?=C?M ;H> <OMB?M ;N @IL?MN ?>A?M )CE?QCM? PCM
C<F? B;LP?MNCHA G?;MOL?M ?A LIQQCM? MBIOF> <? ;PIC>?> ?MJ?=C;FFS
UNCORRECTED PROOF
+>+7+9'1 '3*8)'5+'3*"7('31'33/3- === ======
CH OL<;H @IL?MNM 0O=B PCMCNILILC?HN?> @IL?MN G;H;A?G?HN G;S GINC
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H;NCIH @IL NB? >C@@?L?H=?M GCABN <? NB;N MNO>?HNM IL ?RJ?LNM CHN?LPC?Q?>
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UNCORRECTED PROOF
+>+7+9'1 '3*8)'5+'3*"7('31'33/3- === ======
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NB? S?;L ;M JLIJIM?> <S )OJJ ?N ;F L;NB?L NB;H N;ECHA ; N?G
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IL ?GINCIH;F MN;N? I@ NB? M;G? PCMCNIL G;S =B;HA? NBLIOABION NB? S?;L
;H> NBOM NB? ?HPCLIHG?HN;F J?L=?JNCIH I@ NB? PCMCNIL G;S P;LS ,L NB?
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I>M I@ NB? S?;L %?L? J;H?F MNO>C?M =IOF> CGJLIP? NB? KO;FCNS I@ ;MM?MM
G?HNM QCNB L?MJ?=N NI N?GJIL;F P;LC;<CFCNS -L?@?L?H=?M @IL # <?NQ??H
=IHC@?LIOM ;H> >?=C>OIOM @IL?MNM ;L? FCE?FS GIL? JLIHIOH=?> <?NQ??H
QCHN?L ;H> MJLCHA fIQ?LCHA IL ;ONOGH @IFC;A? %IQ?P?L /S><?LA ;H>
#;F=E JL?>C=N?> =IHMC>?L;<F? >C@@?L?H=?M CH @IL?MN ;?MNB?NC=M @IL
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MIHM =IOF> =IGJF?G?HN IOL eH>CHAM
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NB? G;JJCHA I@ PCMCNIL ALIOJM Q? OM?> NB?M? JLIJILNCIHM NI Q?CABN NB?
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J;LNC=CJ;HNM ;L? ; L?JL?M?HN;NCP? M;GJF? I@ ;FF PCMCNILM 1B? GOFNCJF? ;=
=?MM JICHNM ;FIHA NB? @IL?MN ?>A?M GCABN CGJ?>? MO=B CGJF?G?HN;NCIH
;M >C@@?L?HN KOIN;M @IL ?;=B JICHN QIOF> NB?IL?NC=;FFS <? H??>?> ?A
GIL? =S=FCMNM ;FIHA G;DIL <CE? J;NBQ;SM
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?A >IH? <S 1SLPXCH?H ?N ;F %IQ?P?L Q? ;ME?> @IL?MN PCMCNILM
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;LIM? @LIG BOG;H >CMNOL<;H=? =LIQ>CHA >IAM PIC>;H=? Q;M ;FMI
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I==OLL?H=? I@ # ;H> NB? CGJ;=N I@ >CMM?LPC=?M ;H> >CMNOL<;H=?M
#ONOL? L?M?;L=B =IOF> ;FMI CGJF?G?HN MJ;NC;F ;MM?MMG?HNM ;N F;LA?L
M=;F?M ?A H;NCIH;F ;MM?MMG?HNM 1BCM QIOF> L?KOCL? MOLP?SCHA ;H CH
=L?;M?> HOG<?L I@ PCMCNILM #IL ?R;GJF? CN GCABN <? MOCN;<F? NI OM? H?Q
>;N; =IFF?=NCIH ;JJLI;=B?M MO=B ;M MG;LNJBIH? ;JJFC=;NCIHM NI L?>O=?
NB? ?@@ILN J?L PCMCNIL QBC=B MBIOF> ;FFIQ G;JJCHA # ;H> "00 CH ; MJ;
NC;FFS ?RJFC=CN G;HH?L 0CFP; ?N ;F 1B? ;==?MMC<CFCNS ;H> NB? L?J
L?M?HN;NCP?H?MM I@ PCMCNIL ALIOJM G;S J?LMCMN ;M JLI<F?G %?L? Q? M??
G;DIL =B;FF?HA?M L?A;L>CHA C NB? ;==?MMC<CFCNS I@ PCMCNIL ALIOJM ;M PCM
CNILM QIOF> H??> MG;LNJBIH?M ;H> ; GINCP;NCIH NI OM? NB? ;JJFC=;NCIH
#IL ?R;GJF? CN GCABN N;E? NCG? OHNCF NB? G;DILCNS I@ ;FF ;A? ALIOJM C?
IF>?L PCMCNILM OM?M MG;LNJBIH?M NI ; F;LA? ?RN?HN CC 1B? ;==?JN;H=?
GCABN ;FMI JIM? ; JLI<F?G ;M PCMCNILM G;S JL?@?L HIN NI NL;=E NB?CL J;NB
&H ;>>CNCIH =CNCT?H M=C?HNCMNM H??> ; L?Q;L> IL ; GINCP;NCIH @IL MB;L
CHA NB?CL L?=L?;NCIH B;<CNM ;H> NL;=EM (L;MHS /OMM 1C><;FF "FGKPCMN
4? ?RJ?=N NB? GINCP;NCIH NI L?=IL> # NI <? FIQ?L =IGJ;L?> NI
J?IJF? MJINNCHA ;HCG;FM IL L;L? JF;HNM QBC=B B;M ; FIHA NL;>CNCIH ;H>
?MN;<FCMB?> GIHCNILCHA JLINI=IFM 0ONB?LF;H> /IS G;HI
5. Conclusions
,OL eH>CHAM CH>C=;N? ; A;J <?NQ??H NB? L?;FCT?> IHMCN? L?=L?;NCIH
>?LCP?> @LIG KO?MNCIHH;CL?M ;H> ;H C>?;F I@ L?=L?;NCIH <;M?> IH MI=C
?N;F >?MCL?M ;H> JL?@?L?H=?M ?RJ?=N?> <S ?RJ?LNM ;M?NL? ?N ;F
UNCORRECTED PROOF
+>+7+9'1 '3*8)'5+'3*"7('31'33/3- === ======
">Q;L>M ?N ;F ; "LCEMMIH +IL>FOH> '?HM?H (I=B
,OL L?MOFNM MBIQ?> NB;N L?=L?;NCIH I@ NB? FI=;F JIJOF;NCIH CM
BCABFS >LCP?H <S L?F;R;NCIH QBC=B CGJFC?M ; L?>O=?> ;NN?HNCIH ;H> FCNNF?
L?A;L> @IL MJ?=Ce= @IL?MN =B;L;=N?LCMNC=M $?H?L;F ;MJ?=NM FCE? NB? JOL?
JLIPCMCIH I@ MJ;=? =FCG;N? L?AOF;NCIH IL NB? ;<M?H=? I@ HICM? M??G NI <?
GIL? CGJILN;HN @IL?MN @?;NOL?M &H IOL MNO>S ?RNL; MNLO=NOL?M FCE? =;H;FM
;L? ;JJL?=C;N?> ;M >CP?LMCe=;NCIH ?P?H C@ NB?S ;L? HIN CGG?>C;N? ;NNLC<
ON?M I@ NB? @IL?MN ?=IMSMN?G
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G;>? CH NB? @IFFIQCHA IL>?L GCABN <? L?;MIH;<F? eLMN @IL?MN G;H;A?
G?HN CH $?LG;HS GOMN =IHMC>?L L?=L?;NCIH;F OM? <?=;OM? I@ NB? F?A;F
>ONS NI ;PIC> LCMEM -?N?LMIH %LIH?E <?SIH> ; =?LN;CH H;N
OL;F ?H>;HA?LG?HN ?A ; @IL?MN?L H??>M NI ?HMOL? NB;N PCMCNILM ;L? HIN
M?P?L?FS CHDOL?> >OLCHA NB?CL PCMCN IH J;NBQ;SM &H N?LGM I@ NB? "00
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H??> NI <? JLI;=NCP?FS GCHCGCT?> NI M?=OL? NB? JLIPCMCIH I@ ;H
INB?L M?LPC=? L?=L?;NCIH 0?=IH> FI=;F G;H;A?G?HN MBIOF> @I=OM IH
NB? ;PIC>;H=? I@ HOCM;H=?M FCE? HICM? IL JIIL J;NBQ;S =IH>CNCIHM 1BCM
GCABN CH=FO>? NB? ;PIC>;H=? I@ =IHfC=NM <?NQ??H >C@@?L?HN PCMCNIL ALIOJM
LH<?LA?L *;HH 4CFE?MFF?G;HH ?N ;F FNBIOAB NBCM
>C> HIN N;E? JF;=? CH IOL MNO>S ;L?; =LIQ>CHA Q;M I<M?LP?> 1BCL> ?P?H
C@ ?RNL; MNLO=NOL?M FCE? NB? BCMNILC= =;H;FM CH IOL MNO>S ;L?; ;L? IONMC>?
@IL?MN G;H;A?G?HNM’L?MJIHMC<CFCNS CN M??GM CGJILN;HN NI G;CHN;CH ;H>
JLIGIN? NB?G ?MJ?=C;FFS C@ NB?S ;L? FCHE?> NI INB?L "00 IL # ?A =OF
NOL;F B?LCN;A? #IOLNB @IMN?LCHA MJ?=Ce= @IL?MN =B;L;=N?LCMNC=M ;H> MNLO=
NOL?M =;HHIN <? M??H ;M ; JL?@?L?HNC;F AI;F CH =IHH?=NCIH QCNB NB? JLIPC
MCIH I@ ;FF L?=L?;NCIH;F # 1B? GOFNCNO>? I@ # ;H> NB? >LCPCHA GINCP;
NCIH I@ J;NBQ;S =BIC=? Q?L? HIN =IHMC>?L;<FS >LCP?H <S @IL?MN =B;L;=
N?LCMNC=M +?P?LNB?F?MM NB?L? ;L? L?;MIHM NI CH=L?;M? <CI>CP?LMCNS ;H> NB?
>CP?LMCNS I@ "00 !;HC?F ?N ;F 0=B;FF ?N ;F P;H >?L -F;M ?N
;F QBC=B MBIOF> <? JOLMO?> <S ; GI>?LH GOFNC@OH=NCIH;F @IL?MN
?=IMSMN?G G;H;A?G?HN
4? A?H?L;FFS ;AL?? QCNB '?HM?H (I=B NB;N NB?L? CM HI ;P
?L;A? @IL?MN PCMCNIL ;H> ; QC>? L;HA? I@ ;FN?LH;NCP?M CM H?=?MM;LS NI M;N
CM@S G;HS J?IJF?’M H??>M )I=;F @IL?MN PCMCNILM CH IOL MNO>S M??G?> NI <?
?P?HN?GJ?L?> ;M FIHA ;M NB? @IL?MN JLIPC>?M MIG? <;MC= <?H?eNM 1BCM
=L?;N?M f?RC<CFCNS ;H> IJNCIHM @IL @IL?MN G;H;A?G?HN
Acknowledgments
1BCM QILE Q;M J;LNFS @OH>?> <S NB? #IOH>;NCIH @IL #IL?MN /?M?;L=B
CH ;P;LC; 1B? ;ONBILM NB;HE NB? @IL?MN ;>GCHCMNL;NCIH I@ NB? =CNS I@
OAM<OLA ;H> 0;GO?F *]MMH?L @LIG NB? 2HCP?LMCNS I@ *^HMN?L @IL NB?CL
MOJJILN ?SIH> Q? NB;HE ;FF MNO>?HNM @LIG NB? 2HCP?LMCNS I@ *OHC=B
)*2 NB? 2HCP?LMCNS I@ OAM<OLA ;H> =IFF?;AO?M @LIG NB? ;P;LC;H
0N;N? &HMNCNON? I@ #IL?MNLS @IL NB?CL MOJJILN CH >;N; =IFF?=NCIH ?SIH>
NB? ;ONBILM QIOF> FCE? NI NB;HE 2FLC=B 0N?NN?L @IL NB? JL?J;L;NCIH I@ M?P
?L;F G;JM ;H> MJ;NC;F >;N; ;H> *;LC?"P? /CHAF?L 1I<C;M ?S?L ;H>
;LIFCH; %IH?LN @IL >;N; JL?J;L;NCIH 1B? ;ONBILM ;L? ?KO;FFS AL;N?@OF
@IL NB? B?FJ@OF MOAA?MNCIHM @LIG NBL?? ;HIHSGIOM L?PC?Q?LM ;H> (;L?H
$LIMMEL?ONT @IL JIFCMBCHA NB? F;HAO;A?
Appendix A. Supplementary data
0OJJF?G?HN;LS >;N; NI NBCM ;LNC=F? =;H <? @IOH> IHFCH? ;N BNNJM
>ICILADF;H>OL<JF;H
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;M?NL? ' $OH>?LM?H 3 3CMN;> ,& %IFNLIJ "' /?=L?;NCIH;F JL?@?L?H=?M ;FIHA
; H;NOL;FH?MM>?P?FIJG?HN =IHNCHOOG /?MOFNM @LIG MOLP?SM CH NQI OH?KO;F OL<;H
@IL?MNM CH "OLIJ? 'IOLH;F I@ ,ON>IIL /?=L?;NCIH ;H> 1IOLCMG – BNNJM>IC
ILADDILN
<CS * ;OG ?LA?H - FOG * BG;L; 0 "HMCHA?L ( … 4OLMN?L *
)?CN@;>?H TOL (;LNC?LOHA >?L 0=BONT OH> "LBIFOHAM@OHENCIH >?M 4;F>?M 4;F>@OHENCI
H?HE;LNC?LOHA 4#(
ACG;MM # )OH>B?>? 1 -;H>OLI 1" ';=I<M?H ' 1B? =BIC=? I@ @IL?MN MCN?
@IL L?=L?;NCIH L?P?;F?> JL?@?L?H=? ;H;FSMCM OMCHA MJ;NC;F >;N; "=IMSMN?G 0?LPC=?M
– BNNJM>ICILAD?=IM?L
GG?L 2 -L]<MNF 2 #L?CT?CN OH> +;NOL -LI<F?G? OH> )]MOHAMG]AFC=BE?CN?H
?CH?L ]EIFIACM=B P?LNLXAFC=B?H #L?CT?CNHONTOHA GCN 1;<?FF?H
LH<?LA?L /?=L?;NCIH OM? I@ OL<;H @IL?MNM H CHN?L;L?; =IGJ;LCMIH 2L<;H
#IL?MNLS 2L<;H $L??HCHA – – BNNJM>ICILADO@OA
LH<?LA?L L;H>?H<OLA -;MN IHMCN? ?RJ?LC?H=? =LIQ>CHA J?L=?JNCIHM ;H>
OM? >CMJF;=?G?HN I@ PCMCNIL ALIOJM NI ; J?LCOL<;H H;NCIH;F J;LE "HPCLIHG?HN;F *;H
;A?G?HN – BNNJM>ICILAM
LH<?LA?L "<?H<?LA?L * 0=BH?C>?L &" INNL?FF 0 0=BFO?N?L PIH
/OM=BEIQMEC " …$I<MN?L -% 3CMCNIL JL?@?L?H=?M @IL PCMO;F =B;HA?M CH <;LE
<??NF?CGJ;=N?> @IL?MN L?=L?;NCIH M?NNCHAM CH NB? OHCN?> MN;N?M ;H> $?LG;HS "HPCLIH
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LH<?LA?L %CHN?L<?LA?L 3CMCNIL GIHCNILCHA G?NBI>M @IL G;H;ACHA JO<FC= OM?
JL?MMOL?M CH NB? !;HO<? #FII>JF;CHM +;NCIH;F -;LE OMNLC; 'IOLH;F @IL +;NOL? IH
M?LP;NCIH – BNNJM>ICILA
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;H> CGJFC=;NCIHM @IL @IL?MN G;H;A?G?HN ;H> JIFC=S #IL?MNLS – BNNJM
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CHA BNNJLJLID?=NILA ==?MM?> OAOMN
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NB? OL<;H @IL?MN ?MN;<FCMBCHA NB?CL =IHH?=NCIHM QCNB F;H>M=;J? MNLO=NOL? ;H> MI=CI>?
GIAL;JBC=M "=IFIAC=;F &H>C=;NILM – BNNJM>ICILAD?=IFCH>
!OH=E?L -0 /;OFOH>/;MGOMM?H ( $OH>?LM?H - (;NT?HMN?CH?L ( >? 'IHA ' /;PH
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UNCORRECTED PROOF
+>+7+9'1 '3*8)'5+'3*"7('31'33/3- === ======
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UNCORRECTED PROOF
+>+7+9'1 '3*8)'5+'3*"7('31'33/3- === ======
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