RAZONAMIENTO

&$3,78/2,

25'(1'(

,1)250$&,Ï1

/RVSUREOHPDVTXHVHSUHVHQWDQHQHVWH

FDStWXOR WLHQHQ FRPR FDUDFWHUtVWLFD OR

VLJXLHQWH

 /D LQIRUPDFLyQ VLHPSUH VH SUHVHQWD

HQIRUPDGHVRUGHQDGD

 (O SUREOHPD WLHQH OD LQIRUPDFLyQ

QHFHVDULDSDUDUHVROYHUOD

6H UHFRPLHQGD TXH WUDWH GH HQIUHQWDUORV

GH PDQHUD PiV JUDILFD EXVFDQGR

HVTXHPDWL]DU ORV GDWRV GH PDQHUD

RUGHQDGD

'HEHPRV UHODFLRQDUORV HQWUH Vt R

HQFRQWUDUFRUUHVSRQGHQFLDHQWUHHOORV

+D\XQDGLYHUVLGDGGHSUREOHPDVGHHVWH

WLSRORVDJUXSDUHPRVDVt

25'(1$0,(172&5(&,(17(2

'(&5(&,(17(/,1($/

(QHVWHFDVRHORUGHQGHODLQIRUPDFLyQVH

UHDOL]D XELFDQGR ORV GDWRV HQ IRUPD

YHUWLFDOXKRUL]RQWDOVHJ~QVHDHOFDVR

9HUWLFDO

+RUL]RQWDO

'DWR

'DWR

'DWR



'DWRQ

25'(1$0,(172&,5&8/$5

&XDQGRORVGDWRVORVXELFDPRVHQIRUPD

FLUFXODU 6H GHEHUi WHQHU HQ FXHQWD OD

UHODFLyQHQWUHORVGDWRVSXHVODGHUHFKDH

L]TXLHUGD HVWi UHODFLRQDGR FRQ ORV

SHUVRQDMHVGHOSUREOHPD

25'(1$0,(172 (1 7$%/$6 '(

'2%/( (175$'$ 2 &8$'52 '(

'(&,6,Ï1

&XDQGRVHSUHVHQWDQGLYHUVRVGDWRVTXH

GHEHUiQ VHU UHODFLRQDGRV HQWUH Vt VH

UHVXHOYHQ SRU PHGLR GH WDEODV \

GHVFDUWDQGRODVSRVLELOLGDGHV

,QJHQLHUR 0pGLFR $ERJDGR

'LHJR 6t ; ;

0LJXHO ; 6t ;

6HUJLR ; ; 6t

 GDWRGDWRGDWRGDWRQ 



GDWR

GDWR

GDWR



GDWRQ



G

G

G

G

G G

G G

'DWRV

GHVRUGHQDGRV

GGGGQ

6HUHODFLRQDQ

HQWUHVt

G

G

G

G



GQ

5D]RQDPLHQWR0DWHPiWLFR 3DJLQD1ƒ 

0J-RUJH/XLV+LODULR5LYDV 

352%/(0$6'($3/,&$&,Ï1

 (Q XQD FDUUHUD GH  DPLJRV 'LQR

OOHJy DQWHV TXH 'HPHWULR pVWH

~OWLPROOHJyHQFXDUWROXJDU6L'HQLV

OOHJR LQPHGLDWDPHQWH GHVSXpV TXH

'DQLHO \ 'DQLOR TXLHQ HV HO RWUR

SDUWLFLSDQWH SDUD GHWHUPLQDU HO

RUGHQH[DFWR GH OD OOHJDGD GH ORV 

DPLJRV¢FXiOGH ODVGRVVLJXLHQWHV

LQIRUPDFLRQHV HV QHFHVDULR

FRQRFHU"

, 'DQLHOOOHJyDQWHVTXH'DQLOR

,, 'HQLVOOHJyDQWHVTXH'LQR

,,, 'DQLOROOHJRHQ~OWLPROXJDU

D 6ROR,

E 6ROR,,

F 6ROR,,,

G ,\,,

H ,\,,,

 (O VHxRU 3DLEDU \ HO VHxR &DVWUR

WLHQHQODPLVPDFDQWLGDGGHGLQHUR

3DLEDU VLQ HPEDUJR HV PiV ULFR

TXHHOVHxR5XL]\HOVHxRU5XL]HV

PiV ULFR TXH HO VHxRU 3UDGR (O

VHxRU&RUQHMRTXHHVPiVSREUHTXH

HO VHxRU 3DLEDU SHUR PiV ULFR TXH

3UDGRQRHVWDQULFRFRPR5XL](O

VHxRU &DVWUR HV PiV SREUH TXH HO

VHxRU 3pUH] 6L HO PiV SREUH WLHQH

 VROHV DGHPiV HQWUH OR TXH

WLHQH FDGD XQR GH HOORV KD\ XQD

GLIHUHQFLD GH  VROHV ¢FXiQWR

WLHQHHOVHxRU3pUH]"

D 

E 

F 

G 

H 

 -XOLRHVHOQLxRPiVDOWRGHODXODHQ

OD PLVPD DXOD6DPXHO HVPiV DOWR

TXH7LWR\PiVEDMRTXH0DULR

¢&XiOHV GH ODV DILUPDFLRQHV VRQ

FRUUHFWDV"

, 6DPXHO 7LWR \ 0DULR VRQ PiV

EDMRVTXH-XOLR

,, -XOLRHVPiVDOWRTXH0DULR\PiV

EDMRTXH7LWR

,,, 7LWRHVPiVEDMRTXHWRGRV

D 6yOR,

E ,\,,,

F 6ROR,,

G ,\,,

H ,,\,,,

 6HWLHQHXQHGLILFLRFRQFXDWURSLVRV

\ HQ FDGD SLVR YLYH XQD IDPLOLD /D

IDPLOLD 0DUWtQH] YLYH XQ SLVR PiV

DUULED TXH OD IDPLOLD *RQ]iOH] /D

IDPLOLD'iYLODYLYHPiVDUULEDTXHOD

IDPLOLD 3UDYLD \ OD IDPLOLD0DUWtQH]

PiVDEDMRTXHODIDPLOLD3UDYLD¢HQ

TXpSLVRYLYHODIDPLOLD0DUWtQH]"

D 

E 

F 

G 

H 

 &LQFRDPLJRVHVWiQVHQWDGRVHQXQD

EDQFD HQ HO FLQH XELFDGRV XQR D

FRQWLQXDFLyQ GH RWUR =HQDLGD \

3HGUR VH XELFDQ HQ IRUPD

DG\DFHQWH3HGURQRHVWDDOODGRGH

6LOYLDQLGH-XDQ=HQDLGDHVWDHQXQ

H[WUHPR

6L 6LOYLD \ 0DQXHO HVWiQ SHOHDGRV

¢TXLpQVHVLHQWDDOODGRGH6LOYLD"

D =HQDLGD

E 0DQXHO

F 3HGUR

G -XDQ

H -RVp

 6HLV DPLJDV HVWiQ HVFDODQGR XQD

PRQWDxD&DUODHVWiPiVDEDMRTXH

-XDQD TXLHQ VH HQFXHQWUD XQ OXJDU

PiV DEDMR TXH 0DUtD 'DQLHOD HVWi

PiV DUULED TXH FDUOD SHUR XQ OXJDU

PiV DEDMR TXH 7DQLD TXLHQ HVWi

5D]RQDPLHQWR0DWHPiWLFR 3DJLQD1ƒ 

0J-RUJH/XLV+LODULR5LYDV 

PDV DEDMR TXH 5RVD TXH VH

HQFXHQWUD HQWUH -XDQD \ 7DQLD

¢4XLpQ HVWi HQ HO FXDUWR OXJDU GHO

DVFHQVR"

D 0DULD

E 7DQLD

F -XDQD

G &DUOD

H 'DQLHOD

 0DUtD HV PD\RU TXH 6DUD $QD HV

PHQRU TXH 6DUD SHUR PD\RU TXH

1DWDO\ \ 1DWDO\ HV PHQRU TXH

9DQHVVD ¢&XiO GH ODV FLQFR HV OD

PHQRU"

D 1DWDO\

E $QD

F 6DUD

G 0DUtD

H 9DQHVVD

 6DELHQGRTXH

[n \VLJQLILFD³[HVPiVDOWDTXH\´

[p \VLJQLILFD³[HVPiVEDMDTXH\´

¢&XiO GH ODV VLJXLHQWHV DOWHUQDWLYDV

UHSUHVHQWD ³$QD $ HV PiV EDMD

TXH %HWW\ % \ &HVL & HV PiV

EDMDTXH'LQD'TXLHQDVXYH]HV

PiVDOWDTXH%HWW\"

, &n 'n $n %

,, 'p &p %p $

,,, &p 'n %n $

,9 &n 'n %n $

D ,\,,

E 6ROR,,

F ,,\,9

G 6ROR,

H 6ROR,,,

 &LQFR SURIHVRUHV 0LUDQGD

(VFDODQWH0HUFDGR9HUD\5DELQHV

...