STL2STM2BookC_StringPrint_SetupTPrintStartupSound_TabLISTBook_PrefsAct List Scene Drawing_Model Draw_Specs diagram_struct_arrayDependentsScriptPad_ListManuscriptPlayPlay_PrefsModelSubscript_Set_ListSubscript_SetArraySimulation_ModelRun_Specsentity_struct_arrayentity_structint16_arraydouble_arraytoken_type_arraytoken_type run_handle_array!Draw_Index"Poster_Info#run_handle$diagram_struct%Point_array&movie_attach'Picture_Tab(Pad)Model_Index_array*graph_type+curve_type_array,curve_type-Model_Index.AliasRecord/Panel0Sector_Specs1SET2Sense_Setup3select_struct_array4allow_struct_array5Picture_array6Section_List7Window_List8Model_Window9Pad_Window:<<ZZZҼZҸZ|Z`ZPZҬxxHH(FG(HH(d'`>> ,,ZZҔZҴ     ZҸZҠ    JJ   drmd   N<<ZZҌZxZҀZPZLPP??'2  VVWZ҄Zt SZҀZhZZZZZp ZZ`Z&1 Dim_Name_1 Djj@v?%TimeA%~*cn@@ ??@ ????MacLAIDayJul$ p p?@@@@@@@ @"@$@&@(@*@,@.@0@1@2@3@4@5@6@7@8@9@:@;@<@=@>@?@@@@@A@A@B@B@C@C@D@D@E@E@F@F@G@G@H@H@I@I@J@J@K@K@L@L@M@M@N@N@O@O@P@P@@P@P@Q@Q@@Q@Q@R@R@@R@R@S@S@@S@S@T@T@@T@T@U@U@@U@U@V@V@@V@V@W@W@@W@W@X@X@@X@X@Y@Y@@Y@Y@Z@Z@@Z@Z@[@[@@[@[@\@\@@\@\@]@]@@]@]@^@^@@^@^@_@_@@_@_@`@` @`@@``@`@`@`@`@a@a @a@@a`@a@a@a@a@b@b @b@@b`@b@b@b@b@c@c @c@@c`@c@c@c@c@d@d @d@@d`@d@d@d@d@e@e @e@@e`@e@e@e@e@f@f @f@@f`@f@f@f@f@g@g @g@@g`@g@g@g@g@h@h @h@@h`@h@h@h@h@i@i @i@@i`@i@i@i@i@j@j @j@@j`@j@j@j@j@k@k @k@@k`@k@k@k@k@l@l @l@@l`@l@l@l@l@m@m @m@@m`@m@m@m@m@n@n @n@@n`@n@n@n@n@o@o @o@@o`@o@o@o@o@p@p@p @p0@p@@pP@p`@pp@p@p@p@p@p@p@p@p@q@q@q @q0@q@@qP@q`@qp@q@q@q@q@q@q@q@q@r@r@r @r0@r@@rP@r`@rp@r@r@r@r@r@r@r@r@s@s@s @s0@s@@sP@s`@sp@s@s@s@s@s@s@s@s@t@t@t @t0@t@@tP@t`@tp@t@t@t@t@t@t@t@t@u@u@u @u0@u@@uP@u`@up@u@u@u@u@u@u@u@u@v@v@v @v0@v@@vP@v`@vp@v@v@v@v@v@v?Q?(\)?\(?\(? =p ? =p ?QR?ə?Gz?Gz?Gz?(\)?(\)?p =q?p =q?θQ??У =p?GzH?Q?ҏ\(? =p? =p?zG{?Q?\(?ffffff? =p ?QR?\(?ٙ?=p =?Gz?(\)??zG?\(\?QR?\(?ᙙ?=p =?333333?(\)??p =q?ffffff?\(\?QR?GzH?=p =?333333?zG{?\(? =p ?(\)?\(?\(?\(?\(\?(\)??\(?Q?zG??\(?Q?zG? =p?\(?Gz? =p@zG{@333333@Q@Q@@ffffff@GzH@=p =@GzH@zG@@=p =@\(@@ =p @ Q@ GzH@ Q@ zG@ Q@ zG@ =p =@ zG{@ =p@ @ =p @ 333333@ \(\@ Q@ @ \(@ Q@ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ =p @ Q@zG@\(\@=p =?\(?zG{ $!Leaf Area Index (dim less)" #c @:@~|Z??@:@~|Z@w5@w5???@ ֗/@:?3lambda2.501-0.002361*(Air_temp_C-3) ,  @ I^5 - ?cW` 9%{      !latent heat of vaporization of water MJ/kg Instead of AIr temperature should be temperature of surface water. I assume that surface temperature is 3 degrees lower than air temperature. Not a significant parameter, may be assumed constant." #c-?yO ?3Ya!???yO ?3Ya!?܋&F?܋&FJ????[A?3Ya!?3delta.4098*Es/(237.3+Air_temp_C)/(237.3+Air_temp_C)<    ( @m    ( @m    !Kgradient of saturated water pressure kPa/oC2 This is the derivative of Es" # c/@-?㋬q ??@-?㋬q ?f|?f|????圡k*?㋬q ?3Es00.6108*exp(17.27*Air_temp_C/(237.3+Air_temp_C))D  ?㋬ q ( @1E Q   ( @m       !saturated vapor pressure kPa" #g3????????$ETpm!" #Icx :@?@e??@?@e@u5@u5???@$.Kr@$OC{.?3EnergyySolRadAtm/23.9*(0.25+0.5*(10-cloudy)/10)-(0.9*(10-cloudy)/10+0.1)*(0.34-0.14*sqrt(vap_press))*4.903*10^(-9)*Air_temp_C^4 ::  / @7f ffff  ( ? + ?       ( ?     + ?  ( ? \( - ? Q       * @ 1&          !Net radiative flux Estimated based on solar radiation in top atmosphere MJ/m2/day = 23.9 cal/cm2/day SolRadGr/23.9 MJ/m2/day / lambda = mm/day " #c ?gl?&7y|I???gl?&7y|I?\ZE{??\ZE{?????qN?gl?3ro3.486*P/(275+Air_temp_C)$  @ S        !density of air kg/m3" #c @YS33333@YS33333??@YS33333@YS33333@YS33333@YS33333q???@YS33333@YS33333?3P101.3    @YS3 3333!r1atm = 760 mm = 1.013*10^2 kPa may be assumed constant because of low sensitivity of the model to this parameter " #c?s?p???s?p?γgK?γgKE????T:L?v_ح?3DEs-vap_press/1000       !Fvapor pressure deficit /1000 to convert Pa in vapor pressure into kPa" #cn@ @$@!(\@!zG??@!(\@!zG@!ǮzH@!ǮzH???@!ǮzH@!zG? MacHDayJul$ ?@@@@@@@ @"@$@&@(@*@,@.@0@1@2@3@4@5@6@7@8@9@:@;@<@=@>@?@@@@@A@A@B@B@C@C@D@D@E@E@F@F@G@G@H@H@I@I@J@J@K@K@L@L@M@M@N@N@O@O@P@P@@P@P@Q@Q@@Q@Q@R@R@@R@R@S@S@@S@S@T@T@@T@T@U@U@@U@U@V@V@@V@V@W@W@@W@W@X@X@@X@X@Y@Y@@Y@Y@Z@Z@@Z@Z@[@[@@[@[@\@\@@\@\@]@]@@]@]@^@^@@^@^@_@_@@_@_@`@` @`@@``@`@`@`@`@a@a @a@@a`@a@a@a@a@b@b @b@@b`@b@b@b@b@c@c @c@@c`@c@c@c@c@d@d @d@@d`@d@d@d@d@e@e @e@@e`@e@e@e@e@f@f @f@@f`@f@f@f@f@g@g @g@@g`@g@g@g@g@h@h @h@@h`@h@h@h@h@i@i @i@@i`@i@i@i@i@j@j @j@@j`@j@j@j@j@k@k @k@@k`@k@k@k@k@l@l @l@@l`@l@l@l@l@m@m @m@@m`@m@m@m@m@n@n @n@@n`@n@n@n@n@o@o @o@@o`@o@o@o@o@p@p@p @p0@p@@pP@p`@pp@p@p@p@p@p@p@p@p@q@q@q @q0@q@@qP@q`@qp@q@q@q@q@q@q@q@q@r@r@r @r0@r@@rP@r`@rp@r@r@r@r@r@r@r@r@s@s@s @s0@s@@sP@s`@sp@s@s@s@s@s@s@s@s@t@t@t @t0@t@@tP@t`@tp@t@t@t@t@t@t@t@t@u@u@u @u0@u@@uP@u`@up@u@u@u@u@u@u@u@u@v@v@v @v0@v@@vP@v`@vp@v@v@v@v@v@v@!zG@!zG@!zG@!zG@!zG@!zG@!zG@!zG@!zG@!zG@!zG@!zG@!zG@!zG@!zG@!zG@!zG@!zG@!zG@!zG@!zG@!zG@!zG@!zG@!zG@!zG@!zG@!zG@!zG@!zG@!zG@!zG@!zG@!zG@!zG@!zG@!zG@!zG@!zG@!zG@!zG@!zG@!zG@!zG@!zG@!zG@!zG@!zG@!zG@!zG@!zG@!zG@!zG@!zG@!zG@!zG@!zG@!zG@!zG@!zG@!zG@!zG@!zG@!zG@!zG@!zG@!zG@!zG@!zG@!zG@!zG@!zG@!zG@!zG@!zG@!zG@!zG@!zG@!zG@!zG@!zG@!zG@!zG@!zG@!zG@!zG@!zG@!zG@!zG@!zG@!zG@!zG@!zG@!zG@!zG@!zG@!zG@!zG@!zG@!zG@!zG@!zG@!zG@!zG@!zG@!zG@!zG@!zG@!zG@!zG@!zG@!zG@!zG@!zG@!zG@!zG@!zG@!zG@!zG@!zG@!zG@!zG@!zG@!zG@!zG@!zG@!zG@!zG@!@!@!@!@!@!@!@!@!@!@!@!@!@!@!@!@!Q@!Q@!Q@!Q@!Q@!Q@!Q@!Q@!Q@!Q@!# =p@!# =p@!# =p@!# =p@!# =p@!# =p@!# =p@!(\)@!(\)@!(\)@!(\)@!(\)@!.zG@!.zG@!.zG@!.zG@!.zG@!333333@!333333@!333333@!333333@!333333@!8Q@!8Q@!8Q@!8Q@!=p =@!=p =@!=p =@!=p =@!=p =@!B\(@!B\(@!B\(@!B\(@!GzH@!GzH@!GzH@!GzH@!GzH@!L@!L@!L@!QR@!QR@!QR@!QR@!QR@!W =p@!W =p@!W =p@!W =p@!W =p@!\(\@!\(\@!\(\@!\(\@!aGz@!aGz@!aGz@!ffffff@!ffffff@!ffffff@!ffffff@!kQ@!kQ@!kQ@!p =q@!p =q@!p =q@!u\(@!u\(@!u\(@!zG{@!zG{@!zG{@!@!@!@!Q@!Q@!Q@!=p @!=p @!=p @!\(@!\(@!\(@!zG@!zG@!zG@!@!@!@!Q@!Q@!Q@! =p@! =p@!\)@!\)@!\)@!zG@!zG@!33333@!33333@!33333@!Q@!Q@!Q@!p =@!p =@!p =@!\(@!\(@!\(@!ǮzH@!ǮzH@!ǮzH@!@!@!@!R@!R@!R@! =p@! =p@! =p@! =p@! =p@!(\@!(\@!(\@!(\@! =p@! =p@! =p@!@!@!@!@!@!@!@!@!@!@!@!@!@!@!@!@!@!@!@!ǮzH@!ǮzH@!ǮzH@!ǮzH@!ǮzH@!ǮzH@!ǮzH@!ǮzH@!ǮzH@!ǮzH@!ǮzH@!ǮzH@!ǮzH@!ǮzH@!ǮzH@!ǮzH@!ǮzH@!ǮzH@!ǮzH@!ǮzH@!ǮzH@!ǮzH@!ǮzH@!ǮzH@!ǮzH@!ǮzH@!ǮzH@!ǮzH@!ǮzH@!ǮzH@!ǮzH@!ǮzH@!ǮzH@!ǮzH@!ǮzH@!ǮzH@!ǮzH@!ǮzH@!ǮzH@!ǮzH@!ǮzH@!ǮzH@!ǮzH@!ǮzH@!ǮzH@!ǮzH@!ǮzH@!ǮzH@!ǮzH@!ǮzH@!ǮzH@!ǮzH@!ǮzH@!ǮzH@!ǮzH@!ǮzH $!Height of plants (m)" #c m@@fffff@n)??@E((?>Jzf@fffff@n)@}@@}@????@zwZw@z?  vap_pressDayJul$ h? @ @@ @ @@@ @ @@@@;;@ @ @@" ʌ@$@&xx@( @*I$I"@,;8@.QN@0 @ @@1 K@2 ʌ@3 \\@4@5N@6xx@7-,@8 @9Q@:I$I @;/+@<;6@=eFTeA@>QL@?\W@@ @ @@@@A K@ANN@B ʌ@B-@C \\@Cm@D@Djj@EN@E@Fxx@F/@G--@Gp @H@H;;@IQ@I#@JI$I)@J*2/@K/5@KW5sW;@L;A@L @ G@MeFTeM@MKS@NQY@NsW5s_@O\e@O'bv'k@P @ @@PKmm@P@PǼ{@Q K@QL!!@QNN@Q{Ǽ{@R ʌ@RL\@R-@R//@S \\@SM؝@Sm@S=@T@TN==@Tjj@TΗ~@UN@UN@U@UKK@Vxy@VO_@V/@V @W-- @WPZZ@Wp@Wд @@X@XQ@X;;@Xhh!@YQ$@YQ!'@Y*@Y!-@ZI$I0@ZRv'bv3@Z*26@Z-9@[/<@[S*2*?@[W5sWB@[ӄ8CE@\;H@\S=K@\ @ N@\8C8Q@]eFTeT@]TI$W@]KZ@]N]@^Q`@^UFTeFc@^sW5sf@^ՠZi@_\l@_U_o@_'bv'r@_TeFTu@` @ @@`+W5sW=@`Kmm@`k8C?@`@`;A@`Ǽ{@`=C@a K@a, @ E@aL!!@al8C8G@aNN@aeFTeI@a{Ǽ{@aI$K@b ʌ@b,KM@bL\@blNO@b-@bQQ@b//@bFTeFS@c \\@c-sW5sU@cM؝@cmZW@cm@c\Y@c=@c_[@d@d.'bv']@dN==@dnTeFT_@djj@dha@dΗ~@djc@eN@e.me@eN@eopg@e@e5sW5i@eKK@ebv'bk@fxx@f/xm@fO_@fo{Ǽo@f/@f~q@f@fhs@g-,@g0C8Cu@gPZY@gpppw@gp@g؝y@gд @@gʌ{@h@h0x}@hQ @hq$I$@h;;@hQQ@hhh@h~~@iQ@i1@iQ!@iq؝؇@i@iZ@i! @i2*2@jI$I @j2__@jRv'bv@jrʌ@j*2@j@j-@jj@k/@k3;@kS*2*@ks@ @@kW5sW@kmm@kӄ8C@k󚹫@l;@l3Ǽ{ǝ@lS=@lsK@l @ @l!!@l8C8"@lNN@meFTe$@m4{Ǽ{@mTI$&@mtʌ@mK(@m\թ@mN*@m-@nQ,@n5//@nUFTeF.@nu\\@nsW5s0@n؝@nՠZ2@nm@o\4@o5=@oU_6@ov@o'bv'8@o==@oTeFT:@ojj@p @ @@pKK@p+W5sW @p;bv'ba@pKmm@p[xx@pk8C$@p{xe@p@p_@p;(@p{Ǽi@pǼ{Ǫ@p/@p=,@p~m@q K@q@q, @ 0@q<hq@qL!!@q\-,@ql8C84@q|C8Cu@qNN@qZY@qeFTe8@qppy@q{Ǽ{@q܇p@qI$<@q؝}@r ʌ@r @@r,K@@r<ʌʁ@rL\@r\@rlND@r|x@r-@r@rQH@r$I$@r//@r;; @rFTeFL@rQQ@s \\@shh@s-sW5sP@s=~~@sM؝@s]Q@smZT@s}@sm@s!@s\X@s؝ؙ@s=@s@s_\@sZ@t@t!@t.'bv'`@t>2*2@tN==@t^I$I#@tnTeFTd@t~__@tjj@tv'bv'@thh@tʌ@tΗ~@tޣ*2+@tjl@t@uN@u-/@u.mp@u>j@uN@u^/3@uopt@u;@u@u*2*7@u5sW5x@u@ @@uKK@uW5sW;@ubv'b|@umm@vxx@v8C?@v/x@v?@vO_@v_;C@vo{Ǽ@vǼ{@v/@v=G@v~@vK@v  h@z@~9@w9@wa@ffffff@t@~33333@E@|@[33333@0@~@y33333@|fffff@33333@@{@tfffff@~@P@r@s@rfffff@p33333@t@tl@u@}fffff@ @@q\@r@u @x33333@ @33333@@L@l@=@z@p@tfffff@33333@~y@p9@qvfffff@y@5@rfffff@33333@}fffff@~ @xfffff@|@33333@wH@t@y33333@33333@O@v@*fffff@|@@|@vi@xNfffff@s@qd@}@U@A@z@z[33333@nfffff@'33333@fffff@rfffff@@k@`@fffff@33333@@\@@|@{L@|@~fffff@{@~33333@@`@ݙ@@@fffff@@{.fffff@ @@@@33333@@33333@홙@t@ř@33333@fffff@@l@\fffff@K33333@33333@fffff@ř@V@33333@s33333@33333@F@33333@@@ @33333@@@r@zfffff@33333@#@fffff@@33333@ 33333@33333@@@@&33333@󙙙@Gfffff@/@R@y33333@33333@33333@@@33333@fffff@@@@u@ 33333@33333@@@fffff@i@0@X@M@@@xfffff@33333@@@Nfffff@t@@@@@@ @a33333@fffff@;@@@@ @ @33333@~@ @@fffff@"@@fffff@@`33333@@@/@k@R@33333@fffff@@ՙ@33333@@@@)@fffff@jfffff@D@E@Xfffff@d@@33333@V@33333@@_@33333@@@K@t33333@@n33333@&@fffff@@@Vfffff@533333@933333@@)33333@x@@p@d@33333@D@33333@@fffff@fffff@@33333@33333@ @33333@fffff@@fffff@@(@33333@33333@fffff@@33333@fffff@fffff@33333@@33333@33333@33333@@@6fffff@-@@@@@33333@4@@@љ@v@N@@~fffff@@@{ @`@@33333@@}陙@s@tfffff@|@@yX@P@s33333@fffff@33333@^fffff@홙@@@fffff@@@@{@33333@@`@xfffff@yI@y)@^fffff@fffff@33333@@33333@33333@v33333@s@|@33333@@Vfffff@@@L@@M@s@t;33333@t@n)@p33333@r!@x33333@L@*fffff@yd@{@|@@@fffff@}@@}@ $!Daily vapor pressure (Pa)" #Dci5?˪T?1R'???˪T?1R'?yN?yN???@g6F? |+?3 rAjif MACH > 0.001 THEN LOGN((25/MacH-0.67)/0.123)*LOGN((25/MacH-0.67)/0.0123)/0.41/0.41/Wind/3.6 else 10^10 55  > ?PbM  2     - ?p =q  / ?| hr       - ?p =q  / ?0 (     / ?=p =  / ?=p =    / @  5  !aerodynamic resistance s/m (wind m/s=3.6 km/hour) assumed that wind measurements are made at 25 m and humidity measurements are made at 25 m. In reality this could be different. Actually quite important parameter, so should try to improve data. Not knowing the measurement heights we can use the reference crop resistance = 33/0.41/0.41/Wind+MacH*0 (LOGN(((MacH+2)/MacH-0.67)/0.123)*LOGN(((MacH+2)/MacH-0.67)/0.0123)/0.41/0.41/Wind) " #cm@@PA7L@\(Q??@PA7L@\(Q@q@n@q@n ???@&a@gtj? WindDayJul$  h?hh@hh@!!@hh@!!@!!@'bv'bv@ hh@"QQ@$!!@&@(!!@*$I$I@,'bv'bv@.*2*2@0hh@1~~@2QQ@3@4!!@5؝@6@7 ZZ@8!!@9#*2*.@:$I$D@;%_Z@<'bv'bp@=(ʌʆ@>*2*2@?+@@hd@@5sW5o@A~z@A؝@BQQ@BZ@C@Cmm@D!!@D\@E؝@E==@F@F_@G ZY@G @H!!@Hv'bv@I#*2**@I=5@J$I$@@JFTeFK@K%_V@Kja@L'bv'bl@Lhw@M(ʌʂ@M~~@N*2*2@Nj@O+@ONN@Phb@PVmh@P5sW5n@P׏xt@Q~z@QXC8C@Q؝@Qx@RQQ@RY@RZ@R__@S@S[;@Smm@SǼ{Ǽ@T!!@T\{Ǽ{@T\@T//@U؝@U]=@U==@Uޗ~@V@V_KK@V_@V@W ZZ @W` @@W@Whh@X!!"@Xb!(@Xv'bv.@X-4@Y#*2*:@Yc8C@@Y=F@Y8C8L@Z$I$R@ZdNX@ZFTeF^@ZZd@[%_j@[fTeFTp@[jv@[p|@\'bv'b@\g{Ǽ@\h@\pp@](ʌʚ@]i$I$@]~~@]؝ج@^*2*2@^jʌ@^j@^@ @@_+@_kK@_NN@_ʌ@`hq@`6jt@`Vmw@`wpz@`5sW5}@`bv'b@`׏x@`{Ǽ@a~@a8h@aXC8C@axpp@a؝@aʌʘ@ax@a$I$@bQQ@b9~~@bY@by؝ت@bZ@b2*2@b__@bʌ@c@c:j@c[;@c{@ @@cmm@c@cǼ{@cK@d!!@d0.01 THEN 4/MacLAI ELSE 10^10<  > ?z G{         !surface resistance s/m The original formula is 200/MacLAI. However in that case the ET does not decrease as rA grows. For this to be provided we need that ET as a function of rA ET*Lambda=(p+q/rA)/(a+b/rA) is decreasing (p=delta*Energy, b=gamma*rS, a=delta+gamma, q=1.013*ro*D. That is achieved when the derivative is negative, which is: delta*Energy/(delta+gamma) < 1.013*ro*D/gamma/rS. The only thing we can modify here is rS. 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