Ecologia populacional e area de vida da cuica Gracilinanus microtarsus (Marsupialia : Didelphidae) em um cerradão de Americo Brasiliense, São Paulo

!

"

#

$

% & &

'

&(

"

" ) '

& ' " * " ( + * " " , - . / "" * 0' " * "* * * / " "* & " ,* 0' * * "* & 1 & " 2 ' 0 3445

& ") 43 & 0 3445 6 & # 71 1 ( +1 " " ! * % 888888888888888888888888888 71 1 "* 1 , 888888888888888888888888888 71 1 $ 888888888888888888888888888 71 1 ( 1 1 + * " 888888888888888888888888888

& & * $ "" " & * " " 9

6 & & * " #

)

71 1 ( +1 " ") * 0' :* 1 ; 71 1 , -1 / ) 6 " < " " "* * "* " " * " " "*= " / " " > "" * 0' 1 71 1 &? 1 1 * + $ 6 " * " " " / / & * :* 1 71 1 @ ' 1 / > , A + , 1 & " $ * 7 0' " ( 1 ; , A + "" " * * " "*= " > "" * 0' 1 1 " * ) 6 " * , $ " & " < " " "1 * "" , < * 9 ) * "*

& . * " " " & * , $ " & 1 & " > * 1

1 / " "1 * 1 / ) 1 * * 1

1

" & &, " , 6 & 7"1 "1 "* 1 , $ " * " & *< " > "" * 0' 1

; + 0' & > "9 " "* ' !+ %

""' , " & "* 6 7 :* ! ""

4BCB3DEFG3%1 "" "" * 7 + "* :* " * "

* 0' 4B ,:* / " " 45 "* 4H * * " 4E * B# ' &( " " ) ' BB B1B1 * 0' BB B131 ,:* / " B5 B1F1 * (* " BH B1F1B1 * & 0' 0' * / BH B1F131 "* & * / , I " BJ B1F1F1 "* & * / " * 6 " " , / /K * 34 B1F151 "* & * / " * 6 " " K * & * 33 B151 " * " 35 B151B1 .' " 6 35 B15131 0' "* * *< 3J B151F1 I& FB B1H1 " ""' 5F B1H1B1 .' " 6 5F B1H131 0' "* * *< 55 B1H1F1 I& 5E * 3# / ' &( " " ) ' H3 31B1 * 0' H3 3131 ,:* / " H5 31F1 * (* " HH 31F1B1 "* & * / * & $ " < " / HH 31F131 "* & * / " , " 0' " < " / HD 3151 " * " HE 31H1 " ""' JD "= " " D3 * * * D5

+K& * ' , < * 9 L % " & "* , 0' , & . 0' & &( " " ) 1 % + * ( , < * 9 & "* " " 7 & * " ' ! %L

* 0' & " * * * & * & " &( ' ,

< * 9 ) ) * "* 344B 344FL

"9 & < * !9 , % & " " "

6* "= " 7* / " 7 & " 9 * *I " 9 * 9 * " !< " . %L

0' & " & $ " 7K& " 0'

' , < * 9 L 0' & " 7K& " ' G * / " * / " </ " * * " 0' ' , < * 9 L "* * *< & " 0' ' , < * 9 L ! " 0' * & " ' , < * 9 L 6 " " , / /K * & *

& &K" &K" " * ' , < *

9 L

! 0' * M& * " . 0' "* & * /

* & $ < / & $ " 7K& " * "

6G * / </ & "" " & $ " " 7K& " * " L

0' * & "" &( " / " "* & * / * & $ < / & $ " 7K& " * "

&(* / 6 & & L

, " 0' " < " / & $ * & " 7K& "

* " ' , < *

9 * * / 344BG3443L

, " 0' " < " / & $ * & " 7K& "

* " ' , < *

# $ %

# $ % M& " = " & "* " &< " " = " & "* " " < " . " & &K" " " 344B 344F * ' , < * 9 L ! # $ % " * " " * "* " 7 $ & * 0' & &K" "* , < * 9 L # $ % "* & * / " , I & &K" ' , < * 9 L # $ % " " , //K * "* ") * 7 " & / 0' " 7 " * 6 " " , / /K )

φ

) * ) pL " # $ % " " K * "* ") * 7 " & / 0' " 7 " * 6 " " K )

γ

) * ) pL # $ % "* & * / " " * 6 " " , / /K )

φ

) * ) p) ,* "

& & )

φ

tempop.)

φ

i ( * 6

" , / /K " ' i +BL !

# $ % "* & * / " " * 6 " " K )

γ

) * & * ) 1−

γ

) * ) p)

,* " & & )

γ

_tempop_.)

γ

_i ( * 6

9 / " * 0' " ' i :< "* / "" " * 0' " ' i−1L # $ % " 0' " "* 0' 9 & " " " & * " ( " & " " 7 " * " & "* " . " & .N ) * * I * / " " * "L !

# $ % "* & * / * & $ < / / " & $ " 7K& "

&

! " # $ % ( & 9

& " $<, * " * , 9 $ , * < " * * I *

" 1 " " & " ( & & "" " &, * ")

( $ " , " $ "*A * 1 " ,:* / " "* * , $

7 & "* .' " 6 ) * / * / "* * *<

L "* & " , I " * 6 " " , / /K )

" K * & * ) , & & "* & * & $ " , " 0' <

/ / " * "1 "* 7 . : 344B

7/ 344F & & < ' . & &(

" " ) ' 1 " " 7 & ,* " * . " &(* " * G

& 0' G * & & * F1J44 &3_{1 * * ) 7 &}

* " OB / " 1 .' " 6 ) " * *

/ " * " * "* ) 7 "/ " & $ ")

& " & &K" 7 A6& & 7K& & $ * 1

* / 7 & & * " . ) & " * / " * / "

* " " * &, . &, 1 * & $ &( $ 7 B4)F

7 $ * "1 "* * *< 0' " & " " " " 344B 3443 " * * / & & * " . 0' 7 7 0' ) & * ) & * 0' / " " * " 1 "* & * / " &K" / "* J)F 33)D 1C$ 1 "* & * / * 6 " , / /K * " & " " / "* 4)BO B)44) "" 9 "* & * / * 6 " K / 4)BD B)441 * 6 * & * / 4)44

4)EF1 & 0' " " 0 ) " & $ " & < " / & " 9 " 7K& "1 / ) & $ 7K& ) " , N"

& * & &( & " 9 & < / / " " 6 "*

* * / ) 6"*K & " "* &

" & * & " 1 " / ") & $ " 7K& ") " , " & & &( & " 9 B4P * & $ < / / " & "& " 6 )

$ $ & " "" & ! " # $ % " "& & " Q *$ * , $ , *" *$ * / " *$ * * 7 "* 7 "* " 7 *$ . 1 *$ $ " " " && ? 7 *$ " $ , * *") *" * $ "* ? ? $ " , ** "* 1 $ &" 7*$ " Q R Q * "* ? *$ " 6 * ) * / * /*?) "* * 7 L * "* & * *" , )

" / / ) " ) *& * * "L " * "* & * *$ $ & " .

/ 7 * / "1 $ "* ? Q " * 7 & @ ? 344B * + , ?344F 7 & * * &( " " ) ' * * 1 * Q * Q *$ * G& RG * & *$ " * Q *$ 7F)J44 &3_{1 * * 7OB / " 7 Q * 1 6} * 7 *$ * * &, 7 * / " *$ * "* ? Q " & , " ) , * " * B#B * 7 $ & *$ 7*$ " 1 * / * /*? Q " " " ) Q *$ & "* 7 *$ * / * /*? 7 & * &, * &, 1 ** " . Q " 7B41F ? 1 "* * 344B 3443 7 * *$ " " *? 7*$ * / * / *? " * 7 & *$ & * * 7 *$ / " 7 *$ $ *" 7 *$ ? " 344B 34431

* " *? "* & * " 7 $ & *$ 7*$ "* ? 7 & J1F * 331D 1C$ 1 / / * " "* & * " , *Q & *$" 7 & 41BO * B144

*$ "* ? ) Q$ " " * " "* & * " 7 & 41BD * B1441 *& * * " 7 & 4144 * 41EF1 * & " $ $ & "

*$ * 7& "1 $ / ) & 7& ) / * ? /

& *$ $ & 7 / " 7 *$ " * " 6 *$

* / " " ) $ * . & " " & * "?"* &1 *$ & "

7& " / / & *$ B4P 7*$ $ & 7 / "

' () * %

7& $ ! && # " % ( & " " & " * " * " & & 7 " * ") * " 7 *< &(

* ! " , S 7 ) 3444L . ?) BOO5%1 / ) 0' ""

&( * .A ! . ?) BOO5%1

* & * ) 7& ( & "* BH K " JH " ( " &,<") * * " " ! ) BOOF%1 "" " & " 7 & & & , & / " 7

& & 7 " 9 &( * $<, * " / " ") & "

& * & * * " , " ! " , S 7 ) 3444L S

R, ) BOEH%1 " ) 54 " ( " & " " 7 " "' $ " "*' "* , " " " , & ") & & .N ) *

* I * ) * !+ " ) 3444L $ G+ $ ) 3443%1

* " 7 ") " " " * " " ( " " K "

) ) ) "' " 9 " * &

& / " A 7& ! " , S 7 ) 3444L && " S + )

BOODL S $* ) BOEO%1 " " ( " "" " K " "*' & & *

"* , " ' * & " * " " " * " *(

7 "* " * " M& " ! " , S 7 ) 3444L && " S + ) BOODL T "$R / *.) BOO3L Q R) BOOB%1 &, " " " * & &

/ " 7 & ") $<, * " / $<, * " & * " " " * & & & " , A " * "" * " "* ) ""

& " " * & " "* & * "" " " ( " "* " $ ! " , S 7 ) 3444L && " S + ) BOODL & ) 344BL Q R) BOOB%1

* " " ( " ") " * * " K "' " & " "* " " " " , " $ "*A * "*'

" / " * * ! " , S 7 ) 3444L && " S + ) BOODL T "$R / *.) BOO3%1 "" K ( & "* * & * " * " ( " "* , G

" * . N&, *( * ! . ) 3443L )

BOOFL T "$R / *.) BOO3%1 U ) BE53 !+ B%)

* " $ , * < " * * I * ) ( & 9

& " & & "" * B4 5H & " 9 " * * / * $<, * & * & * , ! " , S 7 ) 3444L && " S + ) BOODL

) BOOEL "" & ) 3444%1

"" & 7"& " 6 * & $ ) " " & $ " & " 9 " 7K& " ! " ) BOOD%) 0' " " & " " &

/ " ! "" & ) 3444L , ") 3444%1 " * ( & "* & * " * " ! * " S * ) 3445%) & " "" " ( * * &,(& & & * * " " " " & * " " ( " 7& & & < * * I * ! S . ) BOOO%1 * * * ) & * " "" " 7 & 0= " " , ' 7 & ,* " & "* " * ") & "" , *

"* / 0= " * & " " " $ "*A * ""

+K& * ' ,

$+ , *

9 & " 7 & 0= " , " " , $ "*A * "' * ") " :) ' 7 & "* " & & " * & " ) "* * , $ * & ,:* / ,* 7 & 0= "

" , = " * & " < / "" " ( 1 "*

"" * 0' "*< / & " * "1 & * / " " , "' " * " 7 & 0= " " , .' " 6 ) 0' "* * *< ) , & & " "* & * / " / " "

I& * " & <7 "1 " * / " " , * & $ " , " 0' " < " / / " & $ " 7K& " * "1

- .

" * , $ " & 7 & . " : 344B 7/

344F & & 7 & * ) & < * * DF $ ) * * ,

< * 9 ) . & &( " " ) '

!3BV5FW) 5EV4BWUL + 3%1 7" & * "* 7 & * (

"" 7 & ' " * & / * 0' 7 $ * 7 "*

! ) BODBL / S * ") 3443%1 & & / * & * 7 "* .

< 7 & * " 5E 7& " BFH " ( " / * " , "* / " ,A ")

& & I " * * " " 7& " ) " )

+ , ) ) ? * $?" ! $ ) BOO5%1

& ' " * , < * 9 " *

" "* 0= " , & 7 ") ) "* 0' " G7 9 * " & " " , " * &, "* 0' M& G9 * 9 * " & " " * , & 0 ! & / " ) BOOOL * ) BOJDL / + F 7 & 0= " " ,

& ' * "* %1 "* & ( & *

* * ) 9 * & * &( &K" & " 7 ( 7 BE V &K" & " 9 * * "" 33 V 1 @< * 0' &K" & " " ' * F4 &&

&K" & " $ / " (& 9 F44 && ! * ) BOJDL + F%1

" ( * "* "* . ' ,

< * 9 7 * 7 & 1 @ ' 1

/ , A + , 1 & " $ "

@ 1 " / " * 7 " 7 & " * " 0' "

&( " " & % " & "* , 0' , & . 0' & &( " " ) ) " * 1 % + * ( , < * 9 & " " 7 & * " ' ) 1 " * 7 & . " " * , $ " & 1 /

4 H4 B44 BH4 344 3H4 F44 FH4 544 5H4 @ + @ @ @ + @ @ @ + 4 H B4 BH 34 3H F4 * 0' * * & * &( # 0 1 344B 3443 344F 2 () 0 1 # 03 1 4 H4 B44 BH4 344 3H4 F44 FH4 544 5H4 4 H4 B44 BH4 344 3H4 F44 FH4 544 5H4 @ + @ @ @ + @ @ @ + 4 H B4 BH 34 3H F4 * 0' * * & * &( * 0' * * & * &( # 0 1 344B 3443 344F 2 () 0 1 # 03 1

1 * 0' & " * * * & * & " &( '

, < * 9 ) ) * "* 344B

344F1 " "* 0' & * A 2 ' "

% 4

,* 0' " & 7 "*

< / 7 * . &(*

* G& 0' G * 1 "" &(* ) 0' ( & "* / . ") & * (& 9 "1 & " ' & "* ) " / " * " ' G& " "' / & * & " " / " * " :<

& " *K& " * " " 0' * " 0 "* "1

A" "* & * ) " / " "' , " & "& 7 & * " ! * " ) BODEL R ) BOO4%1

* / " 7 "* 7 & *

' , < * 9 & * & " * * " * "

" 0 " * " & B4)4 &1 & * " * 7 & "* " " * "* 0= " 76 " * " 0 " * " & B4)4 &) 7 & & * & <

* * F1J44 &3 _{!X 4)FJ $ %1 & "* 0' * ) 7 "* &}

& $ B)H23)4 & * " 1 * * ) 7 & * . " 5O & $ " * $ & & & "= " D)H× O)4 × 3F)H &1 " & $ " 7 &

& " 7 * ) " " & , "* & & & "* " &

A 7 , $ / "* " & $' " * 1 A" * ) "

/ " 7 & & " / & * & A " 7 0' $

! * G+ $ ) BOED% $ " & " " "* "9

/ 1 " / " 7 & & * & " " / * 9

& & : "" * ") & " R

* & 9 7 & . " " * " 7 & " ' & "* " < 1 & : * " = " & "* " " < " " * / "

! * " * " * / "% 7 & " ' & "* &< 1

* "* ) 7 . & * * FD " = " & "* "

&< "1 : . &, 344B " " = " & "* "

&< " ! 3F% 7 & . " 9 . & * * " * "

" * / " ! " = " & "* " " < "%1 " & " " & . &, "A 7 "" / . 0' & " ' & "* &< ) 9 * & : $ 7 &

. " * K" " = "1 * * 7 & . " 5J " = " & "* " " < "

! , B%1 : 3443 7/ 344F " " = " & "* "

&< " ! B5% 7 & . " & " & * * * " " * / " ! " = " & "* " " < "%) * * . D4 " = " & "* " " < "

! , B%1

& * " " " = " & "* " " < " 7 & "* " *

C * * . 0' * ) 7 " "

"* 0' * " 0 ) / * 1 " / "

* " * &,(& 7 & " " "" 7 " 9 * " 6 ) 0'

* / !/ * $ " * & 0' 0' * /

* B%1 / 7 , & "& $ / "

* A" " & 0' * " ") 9 & . " *

# $ % M& " = " & "* " &< " ! % " = " & "* " " < " ! L * " * % . " & &K" " " 344B 344F * ' , < * 9 1 344B 3443 344F K" @ 3 5 B H B H + / 3 5 B H B H 0 3 5 B H Y Y , 3 5 B H Y Y B 3 B H Y Y @ $ 3 5 B H Y Y @ $ F J B H Y Y "* 3 5 B H Y Y * &, 3 5 B H Y Y * , 3 5 B H Y Y / &, 3 5 B H Y Y . &, B 3 B H Y Y * 3F 5J B3 J4 3 B4

5 % ' &( " " ) ' ' () & 0' ( 7 ) * " * / ," / ) ! " # $ $ !T "* ") BOOD%1 " 0= " "' "* " & $ & ) : ,:* / ( * &

, I / " & & 0' & " I& )

" :) & & 9 , I & * & " 0 ! R0 R ?

) BOOOL $ ) 344F%1 "" & ) * * ) (& & * " = "

& 0 , I G" * & " "" " 9

6 & " = " ," / " ! ?& ) BOOOL $ ) 344F%1 " "" " "' " * " & * " & * " / " ) & & "

0= ") & 0' & 0' ) "' " "</ " * & "

& 0 " , I * & " 0 ! R0 R ? )

BOOOL ?& ) BOOOL $ ) 344F%1

& " " , & " * " " A " <*

"* I& " 0= " ( 7 & < & 9 & 0'

" " & "* " * 0' & & * /("

0' ! R0 R ? ) BOOOL ?& ) 3443L & " S & ) 3443%1

"" &, * " ( "* ! & " S & ) 3443%1 " :) < / " , "* * 9 " * 6 " & 0' & 0' " :&

" 7 * " & " , " ) "" 7 & ) 9 " & 0 "

, I " :& " * " " "" " & *

" & * " / " 0' ! ?& ) 3443%1 "" ) & * " "

7 0= " * " " / " 7 & " " / "

?& !3443% & " S & !3443% ' 7 & 7 & "

* " 0' 1

$ "" "" * 0' ( 7

7 & & * ?& !3443% & ! " #

% & ' # (

( % $ # ( $ ) %

1 "" * 6* ) " "* " & * &G" & & I& * &

& 0 , I " * 6 " & * " & * :" / 0= " "' " * 7 * " "" " & 7 * " " " * & ) &

/ 0' " * G !" . % " * ! & ) 344B%1

& "' / 0' "" " "" " 6 $ & * * $

$ "*A / "& * "" ( 7 & * 9 " ""

. * & $ ) , & & "* & " , , " 9 &

0' "0 "0 ! R0 R ? ) BOOOL & ) 344B%1

" "* " & " " ' *

& 0 & " " / / " M * & " BH ") & " " = " "

@ G 7 Z S * & * Q .) BOO4L & ) 344BL " S "*) BOOHL - * ) 344B%1 &, " "" " "* " * $ & " . " &

* . ) 7 & / " & " "" 0= " * " / 0= " , I & ! ) " S "*) BOOHL - * ) 344B%1 &

7 7 & * , I * &

" , " " & * " ) & 7 * " * A "

! S "" ) BOOOL @ G 7 Z S * & * Q .) BOO4%1

" , " " & * ") " / .) 7 * & *

" , / /K 0' " / " * & ) * * ) / 0'

, I ! S "" ) BOOOL @ G 7 Z S

* & * Q .) BOO4L & ) 344B%1 "" 7 & ) " . & " , " " & * " / " & & * * 7* * & *

I& & " " / 7* 9 ) & ) "" "

$+ ,

"* * * & ,:* / "*

" / " .' " 6 ) 0' ) "* * *<

I& 1 "* 7 . / G" & " 0'

7 0' 0' ?& !3443% " 9 I& 0'

& "* 7 * & * & ) & * ) " "" "

& * " & * " / "1 " 7 & * " ,:* / " "' #

B% - * 7 .' " 6 " / 0' * & 1 3% " / ' * & * / * / 0' * & 7 " 7K& "1 F% " / "* * *< 0' " / 0' * & 1 5% "* & , I " " / " " " / 0= " * & 1 H% "* & " * 6 " " , / /K ) " K ) * & * * " / " " " / 0= " * & 1

6 % 6 7

B1F1B1 ( (

* / * / 0' 7 * & " & *

* /(" 0' 7K& " * / ") & / .9 " * "* " & $ "

* " 7 & & * & * " * ) 9 7 * / 7 " 0'

* / !- * ) 344BL 1 1 * ") ," / 0' "" %1 0'

* / " 7K& " 7 / 7 * /(" 0' / " &

, & / & " ) & ,:* / * * &, = " & "" / "* 0' ) * &,(&) * /(" " 0 & & " * " * * "1 * & $

$ 7 & , " M& & & " * * " 7K&

* / ) 7 & !344B% & !344B%1

* & 0' 7 7 " 9[K 0' " * ")

" * & * K" "" " *< " !& 7 - * ) 344B%#:/ " ! & (G& " 7 * / " 9 * & 7 " * ) F 5C F F%) " , * "

* " ! & * 0' & * ) F 5C F 5%1 " & $ " " , * " 7 & 7 " " * " " / /& * " * "* " 9 "' & * & * " / / " " * "1 " * "* " 7 & " "

& * & * " / / " 9 " * " * / & 0' .

" & I& * & 9 B)4 & ! 1 1 * ") ," / 0' "" %1 ' 7 "" / 7 " 7K& " " , * " " 7K& " * " & , " & & * "* & 7 A 9 "" "* & * 0' / 1 "" 7 & ) " 7K& " & * 0' & * 7 & " " * " 9 * "

& "& * 9 " 7K& " & * "1 " / " * " & " & / 7 & "" 7 " & * " ) "" 9 9 " & " " / 7 & "" 7 " & * " 1

B1F131 * $ )

, I & &K" "* 7 "* &

& & " 0= " 7 $ ") * " " * G& 0' G

* ,* " * " " = " & "* " " < " ! * " * % &K"1 " & " 0= " 7 $ " "' , " " " " 0' 9

0' (7 $ 7 & * & 7 & * ) " :) ' $< *

! & 0' " & * % & " ! & 0' & * % / "

0' * & "* & ! * " ) BODEL R ) BOO4%1

" " 0' 9 0' " "

7 $ " " & "* & &K" "* 7 * "*

* /(" * "* " 9 0' G G :"* & & * " & ! * " ) BODEL U$ * ) BOE3%1

" & " 0= " 7 $ " 7 & * " & * /("

9 " , , " * "' & " ! * " ) BODEL R )

BOO4%1 & ) ) " , , " * "' " * " "

/ " & " ' & "* ' / & & * & 1 K" & " & & " " "* * "* " "" , $ / , , " *

7 * "# B% & *) & , , " * 9 & / &

7* " & * & * ") " 9 , , * & *

& A" & * & & L F% & $) & , , "

* 9 & / * " / " / * "* " * " "

/ ) & " 6 1 * " 9 * & " & " & 6 " "' &, 0= " "" " & ") ) *$) *,) *$) *,$! * " ) BODEL R BOO4%1

" 0' & 0' 7 $ 9 & $ :"* " "

&K" 7 7 * * "* " 9 0' G G :"* .' / "" & $ 0

& & * " & !U$ * ) BOE3%1 "* & * /

, I & &K" "* 7 ,*

"* & & " &K" * . &

!U$ * ) BOE3%) / "* 9 "* & "" "* & " * " " & " 0= " 7 $ ") ) ) *) ,) $) *$) *,) *$) 6 *

& *,$ 9 ' 6"* & "* & ! * " ) BODEL R ) BOO4L

U$ * ) BOE3%1

" 7 "* & " & :"* * & $

7* / < * ! & * ) 344F%1 "* :"* * &

,:* / / * 9 " " : " "* & "" ,

9 * " :& * " " / " 9 / / & 7 "

& * " "* 1 < "* :"* ( & "*I *

9 & " 7 * & "* " & / *

* 1 :"* * & $ 7* / < * * .

"* "* 7 7 * * . & & / & * 9 ( "* & * /

/ & /( * " < / * & &(* & &

/ 6 !& 7 & * ) 344F%1 "" * 0'

& * " / & * "' " "* & * / " " " "

" ! & * ) 344F%1 * & $ 7* / < * 7 &

(

5

\

\

B41444

)

\

3 3

+

+

,

,

-

=

+

+

π

!B%

) L ( & & * " " * !J4)4 &%

Wˆ

!3E)B &% (

"* & * / &( "*I &<6& ," / * * * / & /( * < / " / "1 "* 9 0' " / " & <

* !L2% 6* "' < 7* / * & "*

9 * *I " !

5

,

×

+

\

% " " 9 * 9 * " "

* " !

π

W

ˆ

2L + 5%1 " & ( / B41444 * "7 &

"9 & < * !9

, %) " / " 7 &

* ") & " " " 6* "= " 7* / " 7 & " 9 *

*I " 9 * 9 * " !< " . "%1 , (

& & * * * L

+

\

( "* & * /

&( "*I &<6& ," / * * * /

& /( * < / " / "1 " * " *

& / & * & / 7 *

* 1

+

\

,

B1F1F1 * $ .

"* & * / * 6 " , / /K ) ) & & "* * G & 0' G * & " " = " & "* ") i i+1) " ,* " & "& * / M& / " & ") /0 * " & i+1

M& / " & " " ' i) ( ) ( ) / / +B = !3% / M& / " * " " " ' (7 0' " * 6 "# * 6 " , / /K ) 9 " / " " , / / &) * 6 & 9 "' * " / & * 1 * * ) 0' / " 9

7 & * " " ' & "* " * ) i+1) & * 6 * )

1) ( * " * 6 " 7 * ") * 6 " , / /K * 6 * )

9 & "*< / / < & "* &1 * 6 * ( *'

" * & )

1

=

φ

×

) !F%

φ

" * * 6 " , / /K p " * * 6 * 1

" * 6 " " , / /K * * "

& " " "* 7 & "* & " * . &

& RG@ ?G , ! , * ) BOO3% * " " * G& 0' G

* ,* " * " " = " & "* " " < " ! * " * % &K") 9 7 & " 7 & & " ' & "* &K"1

& & RG@ ?G , (, " " " 0' 9 $</ 0'

& & * * . "* & * / " * 6 " " , / /K * " BOJ5 ! , * ) BOO3%1 "" & (, " " " * " & "" "#

B% / " * " ' i * & & "& , ,

* ) 1

3% / & " * 0' & * & * A"

" ' i * & & "& , , " , / / )

φ

) *( " ' i+11

F% " & " ' "' " & ) & * 7 "

& * ," / 1

5% " ' & "* ( "* *I & 0' * / *

" ' i " ' i+1 " & " "' , " & * & * A" " ' & "* 1

:"* & & RG@ ?G , " " * G

& 0' G * 7 / 7 " * "* " 9 0' G G

:"* & & * " & ! R ) BOO4%1 K" * "* ") & " "* B) "* 3 "* F) "' . " & 1 "* B ( . 9 " "*< & & " & ) 0 & $ " 7K& ") * "* $ A* " 9 * " " I& * "

φ

*K& & "& / * "

"1 "* 3 * "* & & "" & & RG@ ?G

, ) " :) $ A* " 9 , , & / "

* " ' ' :< * " * & & " '

* 1 "* F * "* " & "" & & RG@ ?G

, ) " :) $ A* " 9 , , & / " , / /

" ' i * " i1

& / . . * "* 9 0' G G :"* "* * 9

& :"* " ") A6& "" ( " ) * " & " * * / " & ) & $ & " ,* " "* & * / " "

I& * " * "" 1 "" " 0' & " 7 7 * & , " *(

7 & 0' R R 1 *( 7 & 0' R R ) -2 0 ( &

( )

, 3

-2 =−3 +3 ) !5%

L ( / "" & $ 0 & K ( M& I& * " "* & " & 1 :"* & " <& $ 9 * & 7 / "" & $ 0 " < 9 * & M& I& * " ! " S $ &) BOOO%1

*( 7 & 0' R R 7 & * "* * .

& ] !U$ * S $ &) BOOO% & & & / 7

" $ "* & * / " I& * "1 " I& * " * "" ) " * 6 "

" , / /K * ) 7 & "* & " * . & ] * /("

&(* / "" & $ 0 &<6& ! , * ) BOO3L U$ * S $ &) BOOO%1 " / I " "* " "* & * / " 7 & ,* " * /(" / " * /

/ " 7 0' G/ "" & $ 0 ! , * ) BOO3%1

B1F151 * .

* 6 " K * " & " " "* 7 "* &

&(* !BOOJ% & & * & ] !U$ * S $ &)

BOOO% * " " * G& 0' G * ,* " * " " = "

7 & & " ' & "* &K"1 &(* ( , " * / " " $ "*A " * "* & * 6 " K )

γ

) 9 &

/ * " ' +B "* / "" " * 0' " ' 1

+ . & * "* 9 0' G G :"* * /(" & "

" * G& 0' G * & & & / 0' * & " * 6 "

" K )

γ

) * ) 1 " 0' & 9 & $ "

:"* " " "* & * / " I& * " 7 7 * & , " *( 7 & 0' R R 1 " * 6 " " K * &,(& 7 & "* & " * /(" &(* / "" & $ 0 &<6& & & * & ]!U$ * S

$ &) BOOO%1 9

γ

" * 7 0' / " " * "

0' ) B−

γ

" * * 6 / " 9 * & 0' )

& %

B151B1 1

: 344B 7/ 344F 7 . & * *

DH4 * " * " " * " OB / "

1 & &( ) M& * " / 7 E)3 ± B4)B1

* * / " * ") JB !JDP% 7 & & $ " F4 !FFP% 7 & 7K& " ) "* * * ) .' " 6 7 "/ " 7 * / & * & 7/ " & $ ")

& 4)H 7K& & $ * !χ3 _{X B4)HJL 1 1 X BL 4 ^ 4)4BL OB%1}

/ ) & &K" "* 7 ," / & .' " 6

A6& & 7K& & $ * !+ HL / .' ""

7 0 " ""' %) 6 * &K" : $ 344B ! "* & _ X G3)DBL

4 ^ 4)4BL BB% 9 .' " 6 7 "/ " 7 * / & * "

$ +K& 8 , 5 # 0 1 344B 3443 344F 4 B4 34 F4 54 H4 J4 D4 E4 O4 B44 @ + @ @ @ + @ @ @ + 4 B4 34 F4 54 H4 J4 D4 E4 O4 B44 @ + @ @ @ + @ @ @ + $ +K& $ +K& 8 , 5 # 0 1 344B 3443 344F 4 B4 34 F4 54 H4 J4 D4 E4 O4 B44 @ + @ @ @ + @ @ @ + 4 B4 34 F4 54 H4 J4 D4 E4 O4 B44 @ + @ @ @ + @ @ @ +

0' & " & $ " 7K& " 0'

' , < * 9 )

&( " " ) ) 344B 344F1 $ * $

B15131 1 ( &

" 7K& " * " "* "*

* / &G" </ " " * &, * , 344B 3443

!+ J%) & 9 :< 7 ," / "* 0' $ "

7K& " "" " ( ! , ") 3444%1 " 9 "* 0' & & " "

BH F4 " ! S R, ) BOEH%) .G" 9

" & * / / & * " * &, 1 " 7K& " * * "

7 & * " : & 0 * , . &, 344B " * &,

3443 7/ 344F !+ J%1 / ) * . &, : "

" "* " " 7K& " * / " " * & & & 0'

* * 7K& " 0' !+ J%1 * * ) * /

0' "* 7 & & * " . )

" * &, & 0 ) & & * 0' " * / " * / " " * &, . &, " " "* " !+ J%1

" & 7K& ) * " BH * " & 0' * / "* "* ) "" / & * . & " / . & "& * / 1

"" 7K& 7 ," / </ & / . & * ,

3443 * * *( . &, 34431 & : 344F) & "& 7K&

" * / & & " & " ' G * * ") "" 9 & 7/ 344F " " & & " " * / &G" $ " * * " " ) * * ) 0'

& " & "& * / 1

" 7 $ * " 9 "*' & " " / / "

$ 9 * &' " ,* & * ! 1 1 1 * G+ $ ) & 0' "" %1 "* "* ) 6 & ) 7 * " & 7K& ) * " BH * " & 0' * / "* "* ) & 7 $ * " ! O%) 9 & (&G " " "* / & " " " " " & & "1 / > 7

& * " 7K& " & " " " 7 $ * ") * & $ $ 7 "* & & , " M& & & " * * " " 7K& " * ") & .

!344B% & !344B%) 7 ) & &( ) B4)F± 3)O 7 $ * " 7K& ! XBH%1

A" * / & & 0' M&

* " 0' / & "" / & * & * A"G

* / ) / "* 9 " * " * " ! 5% A" "*

" * & " " " " ) & " , * 0' 7 " 1

(& "" ) A" * / 3444G344B " 9 * & $ "

$ & 7K& ) * " BD / " * " * " & "* 3444

* & * , $ * . < "* ) & &

0' " " / *( * / 344BG34431

A" * / 344BG3443 $ & & $ " & 7K&

* " BH / " * " * " & "* 344B & 0' " " / *( * / 3443G344F1 "* 7 & ) " 9 " , " 0' 0= " "" 0' 7 9 ) "* * *< & $ " 7K& " 0' " " 344B 3443 7 " * * / * / & & * " . 0' " 7 0' ) & * ) & * 0' / " " * " !+ D%1 0' 7 & "* & *

/ " :/ " * " & * "* 0' M& ! . &, & 0 %1 & & * 0' "* " :/ ") 0' 7 & "* & *

" , * " *( & * "* 0' " !: $ : $ %) 9 "* "

4 B4 34 F4 54 H4 J4 D4 E4 O4 B44 @ + @ @ @ + @ @ @ + 4 B4 34 F4 54 H4 J4 D4 E4 O4 B44 @ + @ @ @ + @ @ @ + </ * * ' G * / 8 9: # 0 1 344B 3443 344F 4 B4 34 F4 54 H4 J4 D4 E4 O4 B44 @ + @ @ @ + @ @ @ + 4 B4 34 F4 54 H4 J4 D4 E4 O4 B44 @ + @ @ @ + @ @ @ + </ * * ' G * / </ * * ' G * / 8 9: # 0 1 344B 3443 344F

0' & " 7K& " ' G * / " 7K& "

* / " </ " * * " 0'

' , < * 9 ) &(

" " ) ) 344B 344F1 $ * $ &

$ +K& 4 B4 34 F4 54 H4 J4 @ + @ @ @ + @ @ @ + @ / 4 B4 34 F4 54 H4 J4 @ + @ @ @ + @ @ @ + , * 4 B4 34 F4 54 H4 J4 @ + @ @ @ + @ @ @ + D4 * 4 B4 34 F4 54 @ + @ @ @ + @ @ @ + * # 0 1 8 , 5 344B 3443 344F $ +K& 4 B4 34 F4 54 H4 J4 @ + @ @ @ + @ @ @ + @ / 4 B4 34 F4 54 H4 J4 @ + @ @ @ + @ @ @ + , * 4 B4 34 F4 54 H4 J4 @ + @ @ @ + @ @ @ + D4 * 4 B4 34 F4 54 @ + @ @ @ + @ @ @ + * # 0 1 8 , 5 344B 3443 344F "* * *< & " 0' ' , < * 9 ) )

B151F1 )

0' "* & * G" &

7 $ ) " :) " & " & * ) & * & 0' ) & &K"

"* ) 6 * &K" : $ 344B ! , 3%1 & ) ) 9 (

, " & "" 9 " , , " * "' " * "

/ " & * " " " = " & "* ") 7 " / 0' & BE " 3J & " " "* " ! , F%1 &

$ * " , , " * ) $) 9 (, " & ""

9 " , , " * & / * " / ") 7

" / 0' & & " " ! , F%1 & & * & * )

,) 9 (, " & "" 9 " , , " * & /

/ 7* " & * & * " 7 " / 0' &

" & " " ! , F%1 & * & $ * ) *$) 9 (, "

& "" 9 " , , " * & / * " / "

* & 7 " / 0' & & &K" ! ,

F%1

"* & * / * & $ ) Nˆ) <

"* ) ,* & & &K") /

" & " " E 3O / " ! X BF)O± 5)E / "L , F%1 "

7 &K" / , I

"* & * & $ 7* / < * ) "* & & Aˆ= B)3E $

!, X J4 &L

Wˆ

=

3E)B &%) / " & " " J)F 33)D / "

" * & & " *( 7 "* 0' M& ! . &, & 0 %)

" / " * & < " * * "* 0' " ! ,

"* % " * " / " & " , 6 " * 7 "* 0' " & " "* 0' M& !" * &, . &, L + E%1

# $ % " * " " * "* " 7 $ & * 0' & &K" "* 344B 344F , < * 9 ) &( " " ) 1 K" 5 4 344B @ GB)FHE 4)4ED + / 4)DOH 4)DEJ 0 B)E4H 4)OJ5 , 4)3D5 4)J4E J)444 B)444 @ $ 4)444 4)H44 @ $ ` GB)O3F` 4)43D` "* GB)J4E 4)4HF * &, B)B5D 4)ED5 * , 4)3HF 4)HOO / &, 4)BJ3 4)HJ5 . &, J)444 B)444 3443 @ B)HF3 4)O5 + / B)4J4 4)EH 0 G4)545 4)F5 , 4)B4E 4)H5 4)5EO 4)JO @ $ G4)J53 4)3J @ $ B)3JE 4)EO "* 4)4EH 4)HF

* &, B)BBE 4)ED

* , B)J5B 4)OH / &, 4)FO4 4)JH . &, G4)FBE 4)FD 344F @ G4)DDD 4)3B + / G4)EDF 4)BO ` : * $ A* " 7 $ & * 0' 1

# $ % 1 "* & * / " , I " &

&K" ' , < * 9 ) &( " " ) ) 344B

344F1 " "* & * / " 7 & 7 * " & " & " 9 :"* & & $ " " &K"1

K" "* & * / OHP pˆ cˆ " ! 1C$ % 344B @ BH B)BD BHG33 4)H4 8 BB)D + / BD B)HH BDG35 4)5H 8 BF)F 0 $ 3H H)BF BOG54 4)3D 8 BO)H , B3 B)HF B3GBO 4)53 8 O)5 $ O B)5F OGBE 4)DF 4)BD D)4 @ $ BD B)OJ BJG3H 4)5B 8 BF)F @ $ BB 4)54 BBGBB 4)HB 8 E)J "* BD B)OJ BJG3H 4)5B 8 BF)F * &, B4 B)55 B4GBD 4)5B 8 D)E * , O B)EE B4GBD 4)5B 8 D)4 / &, O B)B5 B4GBD 4)5J 8 D)4 . &, $ B4 B)34 B4GB4 4)DD 4)5F D)E 3443 @ $ BD 3)5E BDGF3 4)HB; 8 BF)F + / , B3 4)4J B3GB3 4)DO 4)54 O)5 0 BF 4)FE BFGBF 4)J4 8 B4)3 , B5 4)5D B5GB5 4)HD 8 B4)O BH 4)HD BHGBH 4)H5 8 BB)D @ $ BH 4)5B BHGBH 4)J4 8 BB)D @ $ BF 4)4D BFGBF 4)DE 8 B4)3 "* *$ BH B)5H BHG33 ;; 8 BB)D * &, E 4)5B EGE 4)HH 8 J)F * , B3 3)BF BBG3B 4)3O 8 O)5

/ &, O 4)5E OGO 4)HF 8 D)4

. &, $ 3O H)33 3FG55 4)FH; 8 33)D

344F @ B5 4)J3 B5GB5 4)HF 8 B4)O

+ / , B5 4)ED B5GBO 4)5D 8 B4)O

# ' L OHP# * / 7 0 OHPL pˆ# , , * L cˆ#

, , * 1

; , , &( * L

;; , , &( * & & " " & "* &#4)HFL 4)5DL 4)HFL

" 0' * & " ' , < * 9 ) &( " " ) ) 344B 344F1 4 H B4 BH 34 3H @ + @ @ @ + @ @ @ + # 0 1 344B 3443 344F 4 0 , 5 < = 1 4 H B4 BH 34 3H @ + @ @ @ + @ @ @ + # 0 1 344B 3443 344F 4 0 , 5 < = 1

" & " " , / /K G * & RG@ ?G , " K G * * "* " 7 & 9 " , " " " " 0' / 0' * & " * 6 " " , / /K )

φ

) " K )

γ

) * ) ) , &

& 7 0 " "" " * 6 " & 7 0' " 6 !

φ

_sexo+tempop_sexo+tempo

tempo sexo tempo

sexo+ p +

γ

%1 " * "* " 9 0' G G :"* . " * *

& " , / /K 9 * & " K " * & "

& "& " / " " "* * "* " " * "* "1 ' 7 & * " 7 0 " " * 6 " " , / /K ) " K * * " " 6 " ! "* B#χ3 _{X F3)O5L 1 1 X} 5BL 4 X 4)EB%1 " * "* " 9 0' G G :"* &, " " & " & "* & 9 "* " "' 9 " ! "* 3 a "* F#χ3_{X H5)HJL 1 1 X JBL 4 X 4)DB% " "} " !& $ " 7K& "% 9 "* " & " " :"* & " "

" * "7* & * 1 " *( 7 & 0' R R ) &

* * / & / 0' * & * 6 " , / /K & * 6 *

"* * ) &, " " & / & " 0' " 6 )

φ

tempop.) & &

/ 0' * & * 6 " K & * 6 * "* * ) &, "

* &,(& " & / & " 0' " 6 )

γ

tempop.) 7 & " 9 & $ " :"* & " " ! , " 5 H%1

"* & * / * 6 " , / /K * " & " "

,* & &

φ

tempop. / "*

4)BO B)44 ! X 4)E4 ± 4)BOL , J%1 "* * 6 " * / " * "

* & < " * ) & " " 0= " ,

/ &, ) & " " * " / " & " , 6 ") & &, " " ") / &,

* 6 * "* & & &

φ

_tempop_. 7 4)DD ! , J%1 "* & * / * 6 " K * " & " " ,* & &

γ

_tempop_. /

"* 4)BD B)44 ! X 4)EB± 4)34L , D%1 * 6

* & * )1−

γ

) / "* 4)44 4)EF !4)BO± 4)34L

, D%1 "* * 6 " * / " , 6 " * & < " *

) & " " * " / " & " * ") & &, " " ") / &,

. &, ) 9 " & " "* 0' M& !+ O%1 * 6

# $ % " " , / /K * "* ") * 7 " & / 0' " 7 " * 6 " " , / /K )

φ

) * ) p1 M& I& * " "* &</ " "/ . p tempo

φ

; JBE)FD; 3J; 5BF)OD; sexo tempop

φ

J34)DH 3D 5BF)OH . p sexo

φ

J3F)EH F 5D4)3J sexo sexop

φ

J3H)EE 5 5D4)3F . .p

φ

JFB)45 3 5DO)5O sexo p .

φ

JFF)4H F 5DO)5J . p tempo sexo+

φ

JFO)D4 HB FJO)O5 sexo tempo sexo+ p

φ

J53)5H H3 FJO)E3 tempo tempop

φ

JHF)FE 5O FEO)F4 tempo sexop

φ

JHF)HO 3D 55J)DO tempo p .

φ

JJ4)HF 3J 5HJ)BF tempo sexo sexop +

φ

JEO)4F H3 5BJ)54 tempo tempo sexo+ p

φ

JO4)OH DH F5H)H5 tempo sexo p ₊ .

φ

JOB)HO HB 53B)E5 tempo sexo tempop +

φ

JOE)4F D5 FHJ)4E tempo sexo tempo sexo+ p +

φ

DH4)HF OE FBJ)DD !* * 7 / 0' * & / 0' * " " 6 " " * 6 " " , / /K * 1 * !1% * 7 9

* & * 6 ( "* * * & 1 ( "* & * / *(

7 & 0' R R # & & & / & & &

# $ % " " K * "* ") * 7 " & / 0' " 7 " * 6 " " K )

γ

) * ) p1 M& I& * " "* &</ " "/ . p tempo

γ

; JB4)FD; 3J; 54J)34; sexo tempop

γ

JB3)D5 3D 54J)BE . p sexo

γ

J3B)5O F 5JD)O4 sexo sexop

γ

J3F)5O 5 5JD)EJ . .p

γ

J3E)FE 3 5DJ)EF tempo sexop

γ

J3O)O5 3D 53F)FO sexo p .

γ

JF4)5B F 5DJ)EF tempo p .

γ

JFH)O5 3J 5FB)DD tempo tempop

γ

JFE)J5 5O FDH)HB . p tempo sexo+

γ

J53)JJ HB FDF)OF sexo tempo sexo+ p

γ

J5H)53 H3 FDF)ED tempo sexo sexop +

γ

JHO)F3 H3 FED)DD tempo sexo p ₊ .

γ

JJ3)45 H4 FOJ)B3 tempo tempo sexo+ p

γ

JEF)53 D5 F55)4F tempo sexo tempop +

γ

JE5)5B D5 F5H)4F tempo sexo tempo sexo+ p +

γ

D5F)4B OE FB5)DD ! * 7 / 0' * & / 0' * " " 6 " " * 6 " " K * 1 * !1% * 7 9 * &

* 6 ( "* * * & 1 ( "* & * / *( 7 & 0'

R R # & & & / & & & "* " (

# $ % "* & * / " " * 6 " " , / /K )

φ

) * ) p) ,* "

& & )

φ

_tempop_.)

φ

_i ( * 6

" , / /K " ' i i+11

I& * "* & * / ' OHP

1

φ

4)E3J 4)B4E 4)H34 G 4)OH5

2

φ

4)EO3 4)4O5 4)H5H G 4)OE3

3

φ

4)EJB 4)4OF 4)HD3 G 4)OJJ

4

φ

B)444 ^4)444B B)444 2 B)444 5

φ

B)444 ^4)444B B)444 2 B)444 6

φ

4)5E5 4)BBD 4)3DB G 4)D4F 7

φ

B)444 ^4)444B 4)OOO G B)444 8

φ

4)HBJ 4)B35 4)3EJ G 4)DFO 9

φ

4)EOB 4)BFO 4)F35 G 4)OOF

10

φ

4)DB5 4)BO4 4)3EJ G 4)OFO

11

φ 4)BO3 4)B3H 4)45D G 4)HFD

12

φ

4)O3J 4)B45 4)FEO G 4)OOH

13

φ

4)EHO 4)4OB 4)HDE G 4)OJ5

14

φ

B)444 ^4)444B 4)OOO G B)444 15

φ

B)444 ^4)444B 4)OOO G B)444 16

φ

4)OEJ 4)4JH 4)44F G 4)OOO 17

φ

4)EFO 4)B4O 4)HBH G 4)OJ3

18

φ

4)EBE 4)BB3 4)H45 G 4)OH3

19

φ

4)O4J 4)BBJ 4)FO5 G 4)OOF

20

φ

4)DB3 4)BF4 4)5BH G 4)EOJ

21

φ

4)D5D 4)BHF 4)FDJ G 4)OFH

22

φ

4)DOE 4)BHJ 4)FJO G 4)OJF

23

φ

4)HE4 4)BHO 4)3DD G 4)EF3

24

φ

4)D34 4)B33 4)5FO G 4)EO5

25

φ

4)EJ3 4)BDF 4)3JB G 4)OOB

# $ % "* & * / " " * 6 " " K )

γ

) * & * ) 1−

γ

) * ) p)

,* " & & )

γ

_tempop_.)

γ

_i ( * 6 9

/ " * 0' " ' i :< "* / "" " * 0'

" ' i−11

I& * "* & * / ' OHP 1−

γ

1

γ

4)EHF 4)BHD 4)F3O G 4)OEH 4)B5D

2

γ

4)OHD 4)4OB 4)3BO G 4)OOO 4)45F

3

γ

B)444 ^4)444B B)444 G B)444 4)444 4

γ

B)444 ^4)444B 4)OOO G B)444 4)444 5

γ

4)DD4 4)B44 4)H35 G 4)OB4 4)3F4 6

γ

4)JD5 4)B5D 4)FHJ G 4)EEH 4)F3J 7

γ

4)DFE 4)B3O 4)5F4 G 4)OBF 4)3J3

8

γ

4)DJ5 4)BHB 4)FEH G 4)O5F 4)3FJ

9

γ

4)OHO 4)BBB 4)4DJ G 4)OOO 4)45B

10

γ

4)DED 4)B5D 4)FOJ G 4)OH5 4)3BF

11

γ 4)BDF 4)BBH 4)45B G 4)H43 4)E3D

12

γ

4)JE3 4)BHJ 4)F53 G 4)EOE 4)FBE

13

γ

B)444 ^4)444B B)444 G B)444 4)444

14

γ

4)EJ5 4)B43 4)HF5 G 4)OD3 4)BFJ

15

γ

4)OJ4 4)4DJ 4)F4E G 4)OOO 4)454

16

γ

4)EE4 4)4EO 4)HDO G 4)ODH 4)B34

17

γ

4)EEH 4)4OJ 4)H5H G 4)OE4 4)BBH

18

γ

4)O5O 4)4EF 4)FEO G 4)OOE 4)4HB

19

γ

4)DD5 4)B4D 4)H4J G 4)OBO 4)33J

20

γ

B)444 ^4)444B 4)OOO G B)444 4)444

21

γ

4)D3B 4)BFE 4)544 G 4)O4O 4)3DO

22

γ

4)DD3 4)B5J 4)FOO G 4)O5H 4)33D 23

γ

4)FJD 4)BBF 4)BE3 G 4)J43 4)JF3 24

γ

B)444 ^4)444B 4)OOO G B)444 4)444 25

γ

4)D54 4)B3H 4)553 G 4)OB4 4)3HO p _{4)DJE 4)43D 4)DB4 G 4)EBD −}

, / /K * & * 4)4 4)B 4)3 4)F 4)5 4)H 4)J 4)D 4)E 4)O B)4 @ + + @ @ @ @ @ @ + + @ @ @ @ @ @ + # 0 1 344B 3443 344F # > , / /K * & * 4)4 4)B 4)3 4)F 4)5 4)H 4)J 4)D 4)E 4)O B)4 @ + + @ @ @ @ @ @ + + @ @ @ @ @ @ + # 0 1 344B 3443 344F # > 6 " " , / /K * & * ' , < * 9 ) )

344B 344F1 " * " " & > & * &K"

&, 0' " 9 * 6 " * ( " * &

&K" &K" " * ! ) @ + X * 6 " , / /K

4 ) B1H1B1 1 0' "* ' &( " " " * & .' " 6 "/ " & $ " " * * / " * " "* : 344B 7/ 344F1 "* " * 7 " & $ * ," / " (

& & & * ' * " ) 7 &

* " 4)HO 7K& " & $ * ! " S "*) BOOH%1

.' " 6 "/ & 7/ & $ " "* 0' "

" * * / " * " "* ) & " A6&

B)4 7K& & $ * & &K" 7 / & "" / & * / " "' " & $ ") 9 ( & & & & & 7 " ! Q ) BOE4L ] ," S / ") BOED%1 " :) & " & $ " & " *

& $ " ' G& " * " & " ") 0'

& $ " * " & &K" & 9 " * 1 * * ) "

.' " 6 * * / " * " "* )

"" & M& & $ " * " / > 7 9[ * * "

& $ " < * & .' " 6 "/ "

B1H131 1 ( &

* / * / ," / &

"* "* 7 & & * " . 1 "" " . * / * /

* &,(& 7 ," / * " 0= " "* " ( & " < " *

* I * ) . " & * " ) " * * ) & * * ) '

! "" & ) 3444L , ") 3444%) & 0' & &

' " ) "* * + ! " S "*) BOOH%1 "* '

" . * / * / * &,(& :< 7 ," / & " ( " * "

K " " & ! ) BOO5%0 $

!+ & ) BODF%) !- * ) 344B% ! &

) 344B%) , & & & $ ! " S "*) BOOH%)

! < " S * G+ $ ) BOODL + R S T ) BOOHL + & ) BODFL

@ G 7 Z S * & * Q .) BOO4% !@ G 7 Z S

* & * Q .) BOO4%) 4 !+ RS T ) BOOH% 4

!+ R S T ) BOOHL + & ) BODFL @ G 7 Z S * & * Q .) BOO4%1 " " ( " & " ") & ) " * & "* ' * / * /

" . ! " ) BOEOL S R, ) BOEH% & ) , & & "

" 0 ) * / * /

& "* 0' M& ! ) BOO5L " S "*) BOOHL "" & ) 3444L - * ) 344BL , ") 3444%1

* " 7* " &, * " 9 & * & "" ' " .

* / * / "*' " . / " & 0

& * , ) & 9 :< "' * " 7K& " </ " * * " 1 "* 0' * / " * / * / "" / & * / & 7 * * " $ / " , I * A ") 9 & < " , * " "' & " , * " * "* 0' M& ! * ) L $ ) 3443%1 & /</ & * , I * A " " < " ' , < * 9 * "* 0' M& / ) * * ) " 0= " "

& * 0' " 7K& " * / " " / / & * " , / /K " :/ "1

" "" / * & * K" & " " *

"* 0' 7 * 0' & ( "" / 9 " 7K& " " &

. *( " $ " & & * / * / ! , ")

3444%1 / ) "* "* 7 ," / " & 7K& & 0'

* / " / . & & & "& * / * /

!3443G344F%1 "* 7* "" >" * " * 6 " * & * " , / /K

& & " ! . &, : % "* 0' M& ) 9 0' 7

& "* & * & * :/ ") , $ A* " 9

* 0' * / * / "* 0' M& "

0= " ") & * & " 7 ,* 0' & * )

" , / /K " :/ "1 * * ) "" / & * 0' " &

$ 7K& & & * / * / / " , &

" 1

$ 7K& * / * 7 .

7K& * & 7 $ * " 7 / 7 9 M& & & " * * " " M& 7 $ * " "" "1 ""

* & $ &( $ * &,(& 7 " & $ * * * /("

," / 0' 7K& " * / " & 7 $ * " & $ " * 7 " &

0' "* " ( & & < * * I * & * * ) ' )

, " !3444% "* * * BB 7 $ * " 7K& 1 "" 7 & ) * & M& & & " * * " . & "* & * /

. / & * " * & $ $ " 7K& " 1

/ 0' " . "* * *< ," / & " *

* / * / & & * " . ," / ""

0' 1 "" 0' * * / * / "* * *<

0' 7 & * * " " ( " " & ! " S

"*) BOOH%) ! ) BOO5% !- * ) 344B%

" & ' & & & & " " ! S R, ) BOEHL R, ) BOOD%1

"* 0' * &,(& 7 ," / & & 0'

M& / " * " * " * & * ! . &,

: % * / * / 1 "" "" / & * " / &

& * . " * " / "* 9 " * 6 " " , / /K &

& " * / ) 9 M& 7K& " * / " * &,(&

& 0 & ) 7 & " & " , 6 " * * & 344B 9 * & 34431 (&

"" ) M& / " * " ! * " %) 9 & & 0'

A" * / ) " * & * K & & "

" , / / & " . & " / . & & A6&

* / * / 1 "" " 9 ) & ) " / "

" * & & M / * * / * / * " / ) A" 9

& * " / " ( * * . & "* *( * /

* " & < ! ) BOOE%1

" & , & & * "' 6* & " $ "*A " / "" / ") " & & " " ( " " * & $ "*A " / . "

* * "" " " 6* & " ! 1) BOOE%1 &, " : & / * , ") & " & & & 7 ") " & ( * & & " " ( " & " " "* " & 9 $<& * * * " & $ " * "

A" 0' ! ) *$Q * S ) BODDL R& S *$Q * ) BOO3L

RQ ) 344B%1 " & * &,(& :< 7 ," / & "

& & 9 " & $ " " , / / & " "

. & / . ! R, ) BOODL U " S T ) 344F%1 @< " " & * * " A"G * / " ( & "

* & 9 0' " & $ " " 7K& " * "

" , / / & & * & A" * / ! ) BOO5L

" * "* %) 9 " * . & " & < " 7 " ! &? S Q ) BOOO%1

"" $ "*A / & " & & 7 " & & /

&<6& 6& & * & : 0' * /

* / ( " 7 * 0' " & $ ! *$Q * S

) BODDL ] :/ 1) 344F%1 "" 7 & ) & &, * " & & * " . ") * / * / "" " " ( " / " " . "* *

& "* 0' & 9 " , / /K " :/ " " : " / & * * ! *$Q * S ) BODD%1 "" " * "* " "' * " &

:" / ") & ) ' " , / / & & " 9 & : * /

* / ( * & & * "* 0' M& ) 9 ( "" /

9 " & $ " : . 7K& 1 &, $ : " .

/ " & &( " " ) " 9[ * & * ) & "" / & *

, I * A " * "* 0' M& ) 7/ " , / /K

" :/ ") "" " . ' (*' * & &, * & 9 / / & & " " ( " & " " " & < " ! *$Q * S ) BODDL R&

S *$Q * ) BOO3L RQ ) 344BL U " S T ) 344F%1 "" 7 & )

"" $ "*A / / * &,(& & " ( " 9 / / & & &, * " & " " . ") & " !BOO5% ," / "* "* )

&, " : "" / 9 " &, * " & " " . " 6 ""' " & " : & " * 1

B1H1F1 )

0' "* " * &

" &( BB)4 / " $ * ) 9 7

& > ," / "" " ( " !BOOD% & "& < "* ) * ," / & &( 3J)4 / " $ * 1 "" "" / & *

/ 7* " !BOOD% ' * & " "* & * /

" "" , * & $ 7* / * " & 9

/ " 9 / / & 7 " & * " "* 1 * ) " ," / "* "* 7 & " * 9 * " " ( " & " " "* ") & $ ! " S "*)

BOOH%) ! * & * Q .) BOEJL ) BOO5L < " S

* G+ $ ) BOOE%0 ! * & * Q .) BOEJ%)

! " S "*) BOOH%) ! * & * Q .) BOEJ%)

! ) BOO5%0 !- * ) 344B% 4

! * & * Q .) BOEJ% 9 " * & " " 9 / & 4)4B

D)4 / " $ * ! , E%1

& "" " " ( " & " " " * & "

* "* 0' M& ! , E% / > * :/ " 0' ) & * &,(& 7 ," / 0' "* 1 ' / 0' " ) & 9 " ( * " * & *( * " / " & " , 6 " 7 ) 7 " & $ * ," / " * " " ( " " ! " S "*) BOOH% !- *

) 344B%) 9 " 9 " " ( " "" & * $ & $ "*A " / " & $ * "1

# $ % " 0' " "* 0' 9 & " " " & * " ( " & " " 7 " * " & "* " . "

& .N ) * * I * / " " * "1 " ( " ! 1C$ % " ! "* 0' % &, * 7 K $ 3)4 2 J)4 b& " " S "* !BOOH%

4)3 2 B)B & .N * & * Q .!BOEJ%

4)B 2 B)H b& * * I * !BOO5%

4)E G 3)3 b& " * * I * < " S * G

+ $ !BOOE%

B)B 2 3)3 b& & .N * & * Q .!BOEJ%

4)H 2 D)4 b& " S "* !BOOH%

4)4B 2 4)B & .N * & * Q .!BOEJ%

4)H 2 J)4 b& * * I * !BOO5%

4)3 2 F)D b& * * I * - * !344B%

& "' " "" " " ,: * " ' " . / 0'

" 6 * 0' " 7 & 0= " " , $ "*A /

& " 7 & 0= " " , / 0' " I& * " & <7 ") &

" , / /K * & * ! ?& ) BOOOL & ) 344B%1 0'

"* " * & 0= " " * 6 " " , / /K "

& & * " " * / * / " "

344BG3443 3443G344F) 9 & & "* 0' M& ) "" / & *

/ " & & * A"G * / " / " * "1

"* 0' M& ) 9 " , " " & * ") & " * ") (

& ! * ) L $ ) 3443%) 0'

" * * " * 6 " * & * ) & " * * / "

:/ " 0' ) " 9[ * & * ) & & * " 1

I& ) * * ) / " *

7 K 7* " * " ") & / " / " " "* *( * / ) * & " , / /K " * "1 " * &,(& / " * 7* " 6* " ") & " , & * ) * &

5 %

/ '

&( " " ) '

' ()

& & 0' / & * & <

" 0 7 & & * $ & < / ) 9 ( 7 & <

* . & " / / & * " " * / " * "

& * " " 6 " ! *) BO5F%1

7* * & * * & $ < / & / ( "

"" (* ) 9 "*< >" * " * & $

! Q S Q ) BOEFL ,) BOJF%1 "" 7 & ) * & $ , & &

. 0' < / & / & / * &

& " * / 0' " , "* , 0' & * " 0

/ 0' & "" & * " " / / & *

* (* ! *) BO5FL ) BOEF%1

& "' " " 0 * /(" "* & * / * & $ " , " 0' " < " / "' 7 & * " " "* " A "

& * & * " ! S Q $ *) BOEF%1 "" " " & 7 7 & 0= " " , " * 0= " " " 9 & 0' & ) 6 & ) * " "* & " & * ! " ) BOE4L ,, S * ?) BOOEL 9 "*) BOOH%

6"*K & * & * * * ! < ") 344FL ] ," S / ") BOEDL " S + .) BOOO%1 " "* & " & * & " (

" , " 0' < / & & $ & " < " / /< " 7K& " / G/ " !] ," S / ") BOEDL "*7 ) BOO4%1 * * (

& , 6 " , " 0' ) &<6& B4P) * " < " / " / "

! ) BOEO%1

" " 0 & " " ' * 7 "*

& " " ( ") & ! < ") 344FL 9 "* 1) BOED%)

!@ G 7 Z ) BOOH% ! " S

+ .) BOOO%1 " "" " "* " & & I & " "* & " & * & " " & " ") (& " & 6"*K

& * & * * * & 7K& " & " " ( "1 * * & 7K& " 9 " & & 7 " "" / & * / & " ( " :" 7 $ * "

" & & & "* " / / 9 "*' " : * " 7 * G " 7 ") & & & " " ( " & " " & 9 " 7 $ * "

& & & & $ 9 * 7K& " / / " " * / " & * !U 77)BOOF) BOOD%1

$+ ,

"* * * & ,:* / "* " " 0

"* & * & $ " , " 0' " < " / " / "1 " 7 & * ) " ,:* / " "' #

B% "* & & " * & $ " " < " / & $ " 7K& " * "1

3% / 7 K & "" * & $ " < " / 1

F% "* & & * & " , " 0' " < " / * & $ ") * 7K& " * & $ " 7K& " *

6 % 6 7

31F1B1 * &

" * & $ " " < " / & " "* & " * . "

* " . 0' * " * & !@ $ S ) BOJOL

U * ) BOED%1 < " "" " " $< & M& &(* " * & * " / " "" " & " / " & &(* " "* * "* " ' G "* * "* "1 * " &(* " "* * "* " 6"* & " &(* " & , /

" &(* " ' G &(* "1 "" " &(* " "' , " " & & "* , 0'

* . 0' 9 < , , " * & & & *

* " 0 1 * & $ < / "* & * /(" " &(* "

"* * "* " "* , 0' * " * / " 6 "

& * " < / ! " ) BOE3L 6 S $ & ) BOE4L

U * ) BOED) BOEO%1

* " &(* " ' G "* * "* " "' * " " &(* "

& ) 6 & ) &(* / 6 & & ! $ ) BO5D%1 * "

/ 0= " &(* 6"* & 7 & "* " / " " * " ! ) T / ?S , ) BOJHL @ $ S ) BOJO%) & " "' & " * . " 9

&(* / 6 & & 1 * & $ < / "* &

* /(" " &(* " ) & ) " . 0= " & " 6* " & & & " < / 1 "" 7 & ) "" " &(* " 7 & & "

* & $ & * < / & / ) " & $ & & 0'

"* * , $ ) " * & $ " " < " / & $ " 7K& " * " 7 & "* & " * /(" &(* / 6 & & / " * " & & " * K" "* 0= " *

7 * " * . & U ]! $ ) BO5DL ) BOO3%1 "" &(*

7 * . / " " & & * . 0' * 7 0'

= " " " 0 / " 7 * " " 6 " * & " (

!U * ) BOED%1 &(* / 6 & & " * " . 0'

& " 6* " & / "' * " & 6' 9 "

I " * " ' & 6 BE4 ! $ ) BO5D%1 / )

/ <7 * & $ < / "* & "* &(* *

M& * " . 0' * . " "* & * / ' " * &

"" * * ! * "* S ?"* ) BOOHL $ ) BOEB%1 "" 7 & ) * "

"* & * / * & $ < / 7 & " * " B4P "

* " . 0' * & " "* * " &( " " "

" " / " & . & " * " . 0' ) & "

$ !BOEB%1

& " ' & "* " / " * " 7 &

" "1 & "" &( / & $ 7K& *

* 7 "* & / " & " " " ,* " & " ' & "* M& * * " = " & "* " & 9 / 7 * 1

+ . & < " 0' * * & $ < / "* &

& $ " 7K& " * " > & "" &( "" " / " /

31F131 * $ ( &

" , " 0' " < " / & $ " 7K& "

7 "* & " " / " * " *

* / ) & / . 9 " * " " , / / & * ' G

* / !/ * B%1 "* & * / " , " 0' " < " / 7

. * . & U ]! ) BOO3%1 / ) * &

< / & / 9 " " , = & < / *

/ ( & * " &(* 1 "* 7 & ) 7 * . & 7 *

" , " 0' ) ) 9 "* & & M * & " , " 0' & / " !U " S ] Q ) 344B%)

(

Az Av

)

AS CS + × = 2 !H% AS ( < " , " 0' * " / "

A

_z A_v "' ) " * / & * ) * & $ " < " / " / " 1 7 * / 4 B) 4 " 7 $ & " , " 0' B " 7 " , " 0' * * 1

& %

* * OB / " * " * 344B 344F

" 35 * " !B5 & $ " B4 7K& "% 7 & * " & & " * K" "* 0= " * 7 * " & * " * & $ " " " < " /

"* & "1 M& * " . 0' * / & $

/ F 34 ! X D)5± 5)H * " . 0' % / 7K& / F F5 ! X B5)5 ± O)H * " . 0' %1 + ," / & 0' " * / * M& * " . 0' * * & $ < / "* & * . B44P " * " . 0' & $ " ! " X 4)J3L 4X 4)43L B5L + B4% 7K& " ! " X 4)DFL 4 X 4)4BL B4L + B4%1 & * " $ !BOEB% / " * "

& & " . * " . 0' ) * & $ < / "* & " & $ " / BH4 31544 &3 _{! X O53)O} ± JO3)3 &3_{L , O%) "" 9} * & $ < / "* & " 7K& " / H4 B1FH4 &3_{! X 3E4)4}± FE5)J &3_{L , O%1 " & $ " " 7K& " 7 & " 7 * / & * * & $}

$ +K& 4 H44 B444 BH44 3444 3H44 F444 4 H B4 BH 34 3H F4 FH 54 ?@ % %A () # = , 0 1 $ +K& $ +K& 4 H44 B444 BH44 3444 3H44 F444 4 H B4 BH 34 3H F4 FH 54 4 H44 B444 BH44 3444 3H44 F444 4 H B4 BH 34 3H F4 FH 54 ?@ % %A () # = , 0 1 ! 0' * M& * " . 0' *

"* & * / * & $ < / / " & $ " 7K& "

* " &(* / 6

# $ % "* & * / * & $ < / / " & $ ") ) 7K& ") +) * "

&(* / 6 & &

* . B44P O4P " * " . 0'

* 1

/ B44P !&3_{% O4P !&}3_%

BB B1FH4  HE BH4  DE H44  EB B1O44 B1E44 EJ F44  O3 31E44 31544 B4E OH4  BBO 31JH4 B1O44 B33 J44  BFB F44  BFD B13H4 OH4 B5F B1444  B5O DH4  BHH 3H4  +4O FH4 3H4 +B4 F44  +B44 B44  +B4F 5H4 3H4 +BBD 31444 B1FH4 +B3B H4  +B3J BH4  +BF4 544 B44 +BFF B44 B44 +BF5 344 BH4

& "" &( & $ " * " / 3J 54 & " ! X F5)D± F)J & "L + BB% 7K& " * " 34 FB & " ! X 3J)E± F)5 & "L + BB%1 " & $ " " * & & "" " 7 * / & * & 9 " 7K& " ! B)33 X 3O)FL 4 ^ 4)44BL 35%1 ' 7 ," / & 0' * * & $ < / "* & & "" &( " & $ " * " ! " X 4)BOL 4 X 4)H3L B5% " 7K& " * " ! " X 4)BDL

BH 34 3H F4 FH 54 5H $ +K& B > 6 % 0 1 BH 34 3H F4 FH 54 5H $ +K& B > 6 % 0 1 6G * / </ & "" " & $ " " 7K& " * " 1

0' * & "" &( / "* & * / * & $ < / & $ " 7K& " * "

&(* / 6 & & 1

$ +K& BH 34 3H F4 FH 54 5H 4 H44 B444 BH44 3444 3H44 F444 6 %0 1 # = , 0 1 $ +K& BH 34 3H F4 FH 54 5H 4 H44 B444 BH44 3444 3H44 F444 6 %0 1 # = , 0 1