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Avaliação de desempenho do modelo ISAREG de simulação de balanço hídrico

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! "#$%&'()*+,&'-./01.2'"+*3+'(4#)*#2'5&!62'7&82',& !9 :2'8;; &

Carmen Ilse Jobim2 e José Antônio Louzada3

Resumo - <'=>?@A>'BC(DE-'FG=HAI'>'JIAIKL>'?@'MNHI'K>'F>A>&'C@H'?@F@=O@KP>'KIF'Q>K?GLR@F'?>'"AIKIAS>'TU?G>'?>'DG>'-VIK?@'

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Palavras-chave - BC(DE-2'S@KFG>=@SVGI2'H=G?I?@'?>'F>A>&'

Performance evaluation of the water balance simulation model ISAREG

Abstract !"#$!%&'()*!+,-$.!/0+1.23$/!3#$!/,0.!423$5!62.278$9!"#$!:$5;,5+278$!,;!3#$!+,-$.!42/!$<2.123$!07!3#$!8,7-0=,7/!,;! 3#$!>?.272.3,!@$-0,A!($B0,7C!!07!(0,!*527-$!-,!&1.!&323$!DE52F0.G9!H,+:250/,7/!2+,7B!/,0.!423$5!8,73$73/!$/=+23$-!6I!3#$!423$5! 62.278$!,;!3#$!/,0. :.273 23+,/:#$5$!/I/3$+!27-!,6/$5<$-!-232!;5,+!3$7/0,+$3$5/!4$5$!:$5;,5+$-C!07!,5-$5!3,!<2.0-23$!3#$!+,-$.! ;,5!3#$!($B0,79!'!:$5$7702.!B52//!42/!1/$-!2/!5$;$5$78$!85,:!;,5!3$/=7B!3#$!+,-$.C!4#0.$!3#$!/,0./!27-!+$3$,5,.,B082.!:252+$3$5/! 4$5$!8,..$83$-!23!3#$!>)+652:2!"50B,A!H$73$5C!07!?2//,!J17-,C!(&!DE52F0.G9!"#$!5$/1.3/!/#,4$-!2!#0B#!:,3$7=2.!2-#$5$78$!2+,7B! /0+1.23$-!27-!,6/$5<$-!-232C!/,!07-082=7B!27!2-$K123$!:$5;,5+278$!,;!3#$!+,-$.!07!3#,/$!8,7-0=,7/9!'88,5-07B!3#$!/32=/=82.! 07-0823,5/!,63207$-!;5,+!5$B5$//0,7!272.I/$/C!3#$!:$5;,5+278$!,;!3#$!%&'()*!+,-$.!42/!8,7/0-$5$-!2/!<$5I!B,,-!27-!03!827!!6$! used for the water balance of the “Planalto Medio” Region (RS).

Key words - %&'()*C!3$7/0,+$35IC!/,0.!423$59

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AGK@IV'@mOV@FFI'O>Vr

"i —'J<i

>K?@'<i'U'QI?I''XIA>V'=@?G?>2'"i'U'QI?I'XIA>V'@F[=I?>2'J'U' >'Q>@aQG@KS@'?@'V@NV@FFY>2'IXIAGI?>'O@A>'S@FS@'t'OIVI'£—!2' Q>KW>V=@'(AA@K'@S'IA&'i! : j&'<F'XIA>V@F'@F[=I?>F'W>VI=2' SI=JU=2' Q>VV@AIQG>KI?>F' Q>=' >F' =@?G?>F' ISVIXUF' ?>F' GK?GQI?>V@F' @FSIfF[Q>Fr' precisão2' ?I?I' O@A>' Q>@aQG@KS@' ?@' Q>VV@AILY>' oVp' i(……EŒ' @S' IA&2! : jt' $O2=-P,2' ISVIXUF' ?>' _K?GQ@' ?@' ‘GAA=>h' o?p' i‘B…T<cc2' ! :8j' @' de

desempenho'oQp'ik(T(D-<'@'CEŒcE…~(C2'! qj2'>J[?>F'

V@FO@Q[XI=@KS@'ISVIXUF'?IF'@gHILR@Fr

Q'—'V?

' <K?@' <' U' I' =U?GI' ?>F' XIA>V@F' =@?G?>F2' "' U' I' =U?GI' ?>F' XIA>V@F' @F[=I?>F' @' Œ' U' >' KZ=@V>' ?@' OIV@F' ?@' XIA>V@F' @F[=I?>F' @' =@?G?>F&' (' OV@QGFY>2' ?I?I' O@A>' Q>@aQG@KS@'?@'Q>VV@AILY>2'GK?GQI'>'NVIH'?@'?GFO@VFY>'?>F' ?I?>F'>J[?>F'@='V@AILY>'v'=U?GI&'('@mI[?Y>'V@AIQG>KI9 F@'Q>='>'IWIFSI=@KS>'?>F'XIA>V@F'@F[=I?>F'@='V@AILY>' I>F' >JF@VXI?>F2' XIVGIK?>' ?@' ]@V>2' OIVI' K@KPH=I' Q>KQ>V?`KQGI2' I' H=2' OIVI' Q>KQ>V?`KQGI' O@VW@GSI&' <' ?@F@=O@KP>' O>?@' XIVGIV' ?@' ]@V>' I' H=' @' U' Q>KFG?@VI?>' J>=' I' OIV[V' ?@' XIA>V@F' IQG=I' ?@' ;2ll' ik(T(D-<' @' CEŒcE…~(C2'! qj&

1+0&-"*%$0.+.2,03&00($

<F' XIA>V@F' ?@' H=G?I?@' X>AH=USVGQI' ?>' F>A>' >J[?>F' KI' FG=HAILY>' ?>' JIAIKL>' ?@' MNHI' K>' FGFS@=I' F>A>9OAIKSI9IS=>FW@VI2' ISVIXUF' ?>' =>?@A>' BC(DE-2' @=' Q>=OIVILY>' I>F' XIA>V@F' =@?G?>F' O@A>' S@KFG\=@SV>' @KQ>KSVI=9F@' KI' cIJ@AI' ‹&' k>KW>V=@' V@OV@F@KSI?I' KI'

TABELA 2'9'H,7-0LM$/!-,!:$5Q.!$!825283$5N/=82/!R/082/!-,!/,.,!-2!$/32LP,!+$3$,5,.SB082!-2!)+652:2!"50B, Parâmetro kI=I?I ~>VG]>KS@'( "V>WHK?G?I?@'I?>SI?I'iQ=j l; c@mSHVI'! 8 ''IV@GIt''!;''FGAS@t'l!''IVNGAIt'‹''T< w=G?I?@'NVIXG=USVGQI'KI'kIOIQG?I?@'?@'kI=O>'w-QQ'ij8 ;28q w=G?I?@'NVIXG=USVGQI'K>'">KS>'?@'THVQPI'"@V=IK@KS@'w-O='ij8 ;28{ e@KFG?I?@'?>'F>A>'?s'iNyQ={j8 !2{6

Fonte: 1câmara (2004); 2 curva de retenção da umidade do solo determinada por Cunha (2003)

r

(Oi O) (Pi P) (O O)(P P) 2 i 1 N 2 i 1 N i i i 1 N

=

- -- -= = =

/

/

/

d 1 ( P O O O (P O ) i 2 i 2 i 1 N i i 2 i 1 N = -- + -= = R T S S S SS V X W W W WW

/

/

(6)

dGNHVI' !2' I' V@NV@FFY>' AGK@IV' @KSV@' >F' XIA>V@F' =@?G?>F' @' @F[=I?>F' GK?GQ>H' >' IAS>' O>S@KQGIA' ?@' I?@V^KQGI' ?>' =>?@A>'BC(DE-&

<' XIA>V' >J[?>' ?>' Q>@aQG@KS@' ' ?@' ' V@NV@FFY>2' J—;2 6 82' U' QAIFFGaQI?>' Q>=>' IASI=@KS@' FGNKGaQI[X>' O@A>'S@FS@''t'OIVI'£—!2'GK?GQIK?>'gH@'>F'XIA>V@F'@F[=I?>F' FY>2' @FSI[F[QI=@KS@2' GNHIGF' I>F' =@?G?>F2' I>' K_X@A' ?@' FGNKGaQ`KQGI'?@'!'&'

<'?@F@=O@KP>'?>'=>?@A>'BC(DE-'W>G2'SI=JU=2' IXIAGI?>' ISVIXUF' ?>F' GK?GQI?>V@F' @FSIfF[Q>F' ' precisão2''

$O2=-P,2' @' ' de desempenho' @' >' ' V@FHASI?>' @KQ>KSVI9F@'

?GFQVG=GKI?>' KI' cIJ@AI' 6&' e@' IQ>V?>' Q>=' >F' QMAQHA>F' @W@SHI?>F2'>'IAS>'Q>@aQG@KS@'?@'Q>VV@AILY>'>J[?>'GK?GQ>H' >' O@gH@K>' NVIH' ?@' ?GFO@VFY>' ?>F' ?I?>F' @=' V@AILY>' v' =U?GIt' ' >' _K?GQ@' ?@' Q>KQ>V?`KQGI' IQG=I' ?I' =U?GI'' GK?GQ>H' I' J>I' @mI[?Y>' ?>' =>?@A>t' >' XIA>V' ?>' GK?GQI?>V'

TABELA 4 9'Umidade volumétrica média do solo gramado, em cm3/cm3, relacionada às tensões medidas no tensiômetro

DTTensiômetroG!$!/0+1.2-,!:$.,!+,-$.,!%&'()*!DTISAREG), no período de 16 de fevereiro a 31 de março de 2006, Passo Fundo, RS

DIA Tensiômetro ISAREG DIA Tensiômetro ISAREG

1 0,275 0,270 23 0,250 0,234 2 0,252 0,270 24 0,251 0,243 3 0,243 0,261 25 0,247 0,237 4 0,238 0,252 26 0,247 0,234 5 0,237 0,244 27 0,246 0,232 6 0,252 0,240 28 0,245 0,231 7 0,250 0,252 29 0,237 0,231 8 0,248 0,243 30 0,230 0,230 9 0,269 0,238 31 0,228 0,230 10 0,272 0,270 32 0,277 0,230 11 0,263 0,270 33 0,278 0,270 12 0,262 0,270 34 0,288 0,270 13 0,257 0,260 35 0,280 0,270 14 0,285 0,250 36 0,292 0,270 15 0,275 0,270 37 0,294 0,270 16 0,266 0,265 38 0,288 0,270 17 0,271 0,262 39 0,284 0,265 18 0,271 0,270 40 0,281 0,257 19 0,265 0,260 41 0,271 0,248 20 0,260 0,251 42 0,300 0,247 21 0,256 0,241 43 0,288 0,270 22 0,242 0,236 44 0,284 0,261 IS AREG=0,9592 tensiômetro 0,2 0,25 0,3 0,220 0,270 0,320 !!tensiômetro (cm3/cm3) IS A R E G ( c m 3 /c m 3 )

FIGURA 1'9'Análise da regressão linear entre os valores da umidade volumétrica do solo gramado, em cm3 /cm3C!,6=-,/!

:$.,!+,-$.,!%&'()*!DTISAREG G!$!:$.,!3$7/0U+$35,!DTTensiômetro ), no período de 16 de fevereiro a 31 de março de 2006, Passo Fundo, RS

(7)

q "#$%&'()*+,&'-./01.2'"+*3+'(4#)*#2'5&!62'7&82',& !9 :2'8;; &

?@'?@F@=O@KP>'>J[?>'KI'IXIAGILY>'QAIFFGaQ>H'>'=>?@A>' Q>=>' muito bom2' Q>KW>V=@' I' @FQIAI' OV>O>FSI' O>V' kI=IVN>'@'C@KS@APIF'i! qj&'

Œ>' @KSIKS>2' @FS@F' V@FHASI?>F' W>VI=' >J[?>F' OIVI' H=I' XIVGILY>' ?@' H=G?I?@' JIFSIKS@' @FSV@GSI2' Q>VV@FO>K?@K?>' I' H=' GKS@VXIA>' ?@' ;28{' I' ;2{;' Q={yQ={

?@' H=G?I?@' X>AH=USVGQI2' Q>VV@FO>K?@K?>' vF' XIVGILR@F' >JF@VXI?IF'?HVIKS@'IO@KIF'I'@FSILY>'?@'X@VY>&''">VU=2' >F' V@FHASI?>F' O>FG[X>F' >J[?>F2' gH@' XIAG?I=' >' HF>' ?>' =>?@A>' BC(DE-' OIVI' FG=HAILY>' ?>' JIAIKL>' ?@' MNHI' ?>' F>A>' KIF' Q>K?GLR@F' IXIAGI?IF2' Q>KaV=I=' "@V@GVI' @S' IA&' i8;;{j' gH@' V@AISI=' H=I' J@=' FHQ@?G?I' IOAGQILY>' ?>' =>?@A>'@='XMVGIF'V@NGR@F&'

4$!3-&0($

!"# $%&'()*+# +, -.+ /%( 0+"1(2"'" " "3"1(")4%5 % ,%'+1% 6789:; #(,.1%.5 #"<#/"=%0(",+&=+5 % >"1"&)% ?@'0($% '% #%1%5 3"1('"&'% #." .<1(2")4% &" 0+A(4% '% B1"&"1=% CD'(% '% 9(% ;0"&'+ '% 7.1E

!"!#$%&'()*+',-'./#0"'&()

8FF:!5 9E;EG H:!7:!5 CE:EG I96;JK5 HEFEG LM9C8!5 9E NO+0"<%&"1 :#<,"=+# %/ 9+/+0+&$+ :3"O%=0"&#O(0"<%&E

Agronomy Journal, C"'(#%&, 3EPQ5 OERSTURRV5 QWPWE

8FF:!5 9E;EG B:9:6985 FE7EG 98:75 XEG 7C6KJ5 CE Crop

!"#$%&"'(#)&"*$'+, ;.('+1(&+# /%0 Y%,O.<&A Y0%O

I"=+0 9+-.(0+,+&=#E 9%,+Z [8N5 QWWPE \TTOE 600(A"<%& "&' X0"(&"A+5 SRE

Y]C8985 9E^E -'./0'1)", 2", (1"&)31"45$, 2$, 6$7$, ($8,

6)(%9:", 29, ;7"'*$, <)&9%$, '"(, ;&$#&)92"29(, 2$, 6$7$, 9, '",=/7%/&",2",6$>"E VTT_E WROE X(##+0=")4% `C+#=0"'% +,

8A0%&%,("a U B0%'.)4% b+A+="15 ["$.1'"'+ '+ 8A0%&%,(" + C+'($(&" b+=+0(&c0("5 M&(3+0#('"'+ '+ B"##% [.&'%5 B"##% [.&'%5 VTT_E

Y8C89;N5 8E BEG 7:!K:FJ875 BEYE 83"1(")4% '% X+#+,O+&?% '+ X(/+0+&=+# CD=%'%# '+ :#<,"<3" '" :3"O%=0"&#O(0")4% B%=+&$("1 &% :#="'% '+ 74% B".1%5 L0"#(1E Revista Brasileira de Agrometeorologia5 7"&=" C"0("5 3ES5 &EQ5 OEPWUWd5 QWWdE

YM!J85 ;E9E =/&!", ="&"1%9&?(*1", 2$, 6$7$, 2", @')2"29,

Embrapa TrigoE B"##% [.&'%Z :,>0"O" K0(A%5 VV ,"(%

VTT\E eY%,.&($")4% O+##%"1fE C+&#"A+, 0+$+>('" O%0 g$h%>(,i=+00"E$%,E>0j +, QT /+3E VTTRE

X8C5 HEYE 3"&G [:XX:75 9E8E !.,+0($"1 7(,.1"<%& %/ 6&k1=0"<%&5 :3"O%0"<%& "&' 7?"11%l ;0%.&'l"=+0 F+3+1# l(=? =?+ 9($?"0'# :-."<%&E Journal of Hydrology5 8,#=+0'",5 3EV\\5 &EQU_ 5 OEdVUPS5 VTTTE

TABELA 5 - !"#$%&'( )!*+( ",-./&'( )/*( "( /"%"01"23'( )#*(

calculado para a relação entre os valores da umidade volumétrica do solo gramado, simulados pelo modelo ISAREG e medidos no tensiômetro, no período de 16 de fevereiro a 31 de março de 2006, Passo Fundo, RS

(%"A(*1" valor

r T5WWP_

d T5dW_V

$ T5dWVW

X8C5 HEYE 3"&G JMm;:!5 HEG I:77:F6!;5 HE ;EG [:XX:75 9E 8EG ^8L8K5 BE5I8F7MC5 BE :E bEG ;9N:!:!X6H^5 BEG X6:B:!5 YE 8E 3"&E Theory of SWAP Version 2.0: 7(,.1"<%& %/ I"=+0 [1%l5 7%1.=+ K0"&#O%0= "&' B1"&= ;0%l=? (& =?+ 7%(1 n I"=+0 n 8=,%#O?+0+ n B1"&= :&3(0%&,+&=E I"A+&(&A+&Z I"A+&(&A+& 8A0($.1=.0"1 M&(3+0#(=o p XFN5 QWWdE QRdOE X(#O%&@3+1 +,Z g ?qOZp "&' K+$?&%1%Ao F(>0"0o5 __E 9:6YJ89XK5 ^E Dinâmica da Matéria e da Energia em

Ecossistemas. VE+'E B(0"$($">"Z :78Fr5 X+O=%E '+ [@#($" +

C+=+%0%1%A("5 QWWRE QRTOE

7NMs85 HEFECE '+E Modelo para Análise de Risco

1$'B:)1$, C#7)1"2$, "$, ;7"'9>":9'%$, 29, ;&$>9%$(, 29, Irrigação para Cultura do CafeeiroE VTTQE VS\OE K+#+

`X%.=%0"'%aE M&(3+0#('"'+ '+ 74% B".1%E M&('"'+ :#$%1" 7.O+0(%0 '+ 8A0($.1=.0" F.(2 '+ r.+(0%25 t0+" '+ $%&$+&=0")4% 600(A")4% + X0+&"A+,5 B(0"$($">"5 VTTQE X(#O%&@3+1 +,Z g?qOZpplllE=+#+#E.#OE>0pjE 8$+##% +,Z TS /+3E VTTRE

7K9:Y^5 :EbEG ^uCB[5 !E G X8FCNF6!5 9E7EXEG ^F8CK5 :EG !87Y6C:!KN5 BEYEG 7YJ!:6X:95 BE Solos do Rio Grande do

SulE B%0=% 81+A0+Z :C8K:9p97G M[9;75 VTTVE QVROE

K:6v:6985 HEFE5 B:9:6985 FE7E 6789:;Z 8& 600(A"<%& 7$?+'.1(&A C%'+1E -=-<, D/779*'5 !+l X+1?(5 3E_Q5 &EV5 OEVWU_P5 QWWVE

KJN9!KJI86K:5 YE IEG C8KJ:95 HE 9E The Water Budget

"'2,)%(,@(9,)',-&&)E"*$'F,I"#?(&A=%&'E$Z +'E5 QWSSE OE\_RU

(8)

I6FCNKK5 YEHE 7%,+ Y%,,+&=# %& =?+ :3"1."<%& %/ C%'+1 B+0/%0,"&$+E D/779*', C:9&)1"', G9%9$&$E$E)1"7,

Society, L%#=%&, 3ER\5 &EQQ5 OEQ\TWUQ\Q\5 QWPVE

mM5 LEG 7NCL8KB8!6K5 7EG 9N7:5 YE IE Y?"0"$=+0(#<$# "&' C%'+1(&A %/ 9.&% Jo'0%A0"O?# /%0 X(+0+&= K(11"A+ K0+"=,+&=#E Soil Science Society of America Journal5 7="&/%0'5 3ER_ &ES5 OEQdR\UQddT5 VTTTE X(#O%&@3+1 +,Z g?qOZpp#%(1E#$(h%.0&"1#E%0ApjE 8$+##% +,Z TS /+3E VTTdE

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