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:<<fPffPkonkXxxHH(FG(HH(d'`>> ,,QPP     PP    JJ   drmd   <N;<<:QPkkMKPP?? '2  VVkk kN`_JXJPN [Q02SLSoilN &jj@v?o|Time  #~*c @@??@È@È@@@@???@? cell_size40000   @ !" #cA@-\(\@" =p??@-\(\@" =p@"p =@"p =???@"\(? Day_length_prevDELAY(Daylength,1)N     !" #sv?}Q(W???}Q(W?}Q(W?}Q(W???? PH_Max0"N !A dummy, stella enforced variable that is needed for the sole purpose of tracking the maximum attained value of non-photosynthetic biomass" #c4@@??@@@@???@?  Bio_End570\ :!" #c D?tzG{?tzG{???tzG{?tzG{?tzG{?tzG{W????tzG{?  Ph_to_Rep0.005  ?tz G{!Xfraction of photo biomass that may be transferred to non-photo when reproduction occurs" #f $??2???  ini_Yield%if DayJul = 1 then YIELD/DT*0 else 08            !3initialization of Yield counter for multiyear runs" #sW?ß=ǧ???ß=ǧn?ß=ǧ?ß=ǧ???n? Tot_NPP0 ! $ p p? MQ؋?T?/?7 ?>Z8?DF?JEs?PNlQ?Wp)c b?_[0-!?e տ?hav\?k2-?nho)?tB2KT?wr.߉?|L\5V?3[?ſ.k?1U>Ϯ?<]fb?]%(?^?d(9h?S*E?\V?p$?veYB?tBԡ?L$$?o?m?q9\??!U?49+?U 4e?u^ B?~Q?Jz?HçN8?[?ܩɯ;?#f?ߑ? O"&?BL?bqot?䀘-Ԗ?䬟(? )?ß=ǧ?ß=ǧ?ß=ǧ?ß=ǧ?ß=ǧ?ß=ǧ?ß=ǧ?ß=ǧ?ß=ǧ?ß=ǧ?ß=ǧ?ß=ǧ?ß=ǧ?ß=ǧ?ß=ǧ?ß=ǧ?ß=ǧ?ß=ǧ?ß=ǧ?ß=ǧ?ß=ǧ?ß=ǧ?ß=ǧ?ß=ǧ?ß=ǧ?ß=ǧ?ß=ǧ?ß=ǧ?ß=ǧ?ß=ǧ?ß=ǧ?ß=ǧ?ß=ǧ?ß=ǧ?ß=ǧ?ß=ǧ?ß=ǧ?ß=ǧ?ß=ǧ?ß=ǧ?ß=ǧ?ß=ǧ?ß=ǧ?ß=ǧ?ß=ǧ?ß=ǧ" #f ?D̻???D̻??? NPP_in PhBio_NPPx x!" #s?g΃???g΃n?g΃?g΃???n? YIELD0+ !$?v?g΃?g΃?g΃?g΃?g΃?g΃?g΃?g΃?g΃?g΃?g΃?g΃?g΃?g΃?g΃?g΃?g΃?g΃?g΃?g΃?g΃?g΃?g΃?g΃?g΃?g΃?g΃?g΃?g΃?g΃?g΃?g΃?g΃?g΃?g΃?g΃?g΃?g΃?g΃?g΃?g΃?g΃?g΃?g΃" #c ??? =p ?p i?  PhB_L_rt0N !Leaffall rate" #c ????????????? max_BMmax_NPH+max_PH$q $ q  !kg/m2" #(cU ??ZЄņ???w-?eiCF??ZЄņ?lJ?lJ?????q_?ZЄņ? Temp_cfVexp(0.20*(Air_temp_C-TempOpt)) *((40-Air_temp_C)/(40-TempOpt))^(0.20*(40-TempOpt))(d ( ?ə  (     (   ( (   ( ?ə ( (     !Temperature feedback, from Lassiter (1975). For equation, first (unamed, 0-1) constant is curvature parameter; the second (unamed) constant is the maximum temperature. Dimless, ranges 0-1." #c% ?PuPu ?PuPu ???PuPu ?PuPu ?PuPu ?PuPu ????PuPu ? $max_NPH&(Max_Ab_BM-max_PH)*(1+1/NPh_Ab_Bel)@q$ @ q        !" #f?v???v??? +HarvestPhBio_harvest+NPhBio_harvest    !" #c@@??@@@@@@????@@? 2 Max_LAI59 !Leaf Area Index" #c)?;??@>h?;????? 9MacLAI*MIN(MAC_PH_BIOMAS*Prop_LA_to_B,Max_LAI)q2  q  2  !This calcuates a Leaf Area Index based on the photosynthetic biomass and the cell area, and with an upper bound of the Maximum leaf area index and a lower bound of .00001. Unitless proportion. Added for use with deciduous forest. The biomass is now kg/m2 - therefore no need to /cell_size. MAX(MIN((MAC_PH_BIOMAS[Habitat,Soil]/cell_size)*mac_prop_LA_to_Biom[Habitat],mac_max_LAI[Habitat]){, .00001)}" #f$?7/??@cNb?7/n@0 a'n NTransup%Sprouting * Spr_rate*MAC_NPH_BIOMAS\ \     !$?7/?7[VH?72vIf leaves require more carbohydrates than currently being fixed, it is assumed that there are sufficient reserves in the non-photosynthetic storage to flux towards the leaves, otherwise carbohydrates are fluxed to the roots. In the fall Photosynthetic product is recovered from the leaves before litterfall. units = kg/d - kg/d = kg/d Hypothesis: Model calibrates much better if flows from leaves have a faster rate than to leaves There is only a limited amount of Nphbio that can be used in new growth of leaves (not well represented !) IF (daylength >=Mac_dl_rq[Habitat]) THEN NewLeaves[Habitat,Soil] * Av_factor[Habitat]*MAC_NPH_BIOMAS[Habitat,Soil] ELSE 0" #&f r?v%Ȑ??@HP). &֕>. &֕A?????? c Nph_AbBM_ic0\ !Binitially available above ground non-photosynthetic tissue kg/m2" #c????????V????? qmax_PHMax_Ab_BM*Max_Ph_AbBM@$v @   !WThe general photosynthetic maximum, habitat and not site specific kg/m2*dimless=kg/m2" #c ??>. &֕>. &֕$????? x PhB_evgrn0"N\ !%Proportion of evergreen photo bomass" #f A$?sge??@lM?sgeD@B~n  NPhBio_mortBMAC_NPH_BIOMAS*NPh_mort+DELAY(Harvest_time,DT)*MAC_NPH_BIOMAS/DT<             !EMortality/sensescence is assumed to occur at constant specific rate. If the macropyhte is killed at harvest then the remaining carbon is shunted to organic matter pools. (Photosynthetic components have a greater mortality burden is during time of water stress, ultimately depleting nonphotosynthetic carbon stores.) kg*1/d " #c %>ȪSP4 >ȪSP4 ??>h>h>ȪSP4 >ȪSP4 >ȪSP4 >ȪSP4 ?6C->ȪSP4 ?  NPh_mort 0.00000053  >Ȫ SP4 !non-photo mortality rate" #c*????? =p? =p?????nO;?? NPP0.25v  ? !NPP 1/day 0.12 0.25" #c ([??&????  ic_NPhBio)Nph_AbBM_ic*(NPh_Ab_Bel+1)/NPh_Ab_Belc c       !'initial non-photo above ground biomass" #cV0 ?|rW?] Nq???xٗ?a{?|rW?] Nq?@?@@@@@A@A@B@B@C@C@D@D@E@E@F@F@G@G@H@H@I@I@J@J@K@K@L@L@M@M@N@N@O@O@P@P@@P@P@Q@Q@@Q@Q@R@R@@R@R@S@S@@S@S@T@T@@T@T@U@U@@U@U@V@V@@V@V@W@W@@W@W@X@X@@X@X@Y@Y@@Y@Y@Z@Z@@Z@Z@[@[@@[@[@\@\@@\@\@]@]@@]@]@^@^@@^@^@_@_@@_@_@`@` @`@@``@`@`@`@`@a@a @a@@a`@a@a@a@a@b@b @b@@b`@b@b@b@b@c@c @c@@c`@c@c@c@c@d@d @d@@d`@d@d@d@d@e@e @e@@e`@e@e@e@e@f@f @f@@f`@f@f@f@f@g@g @g@@g`@g@g@g@g@h@h @h@@h`@h@h@h@h@i@i @i@@i`@i@i@i@i@j@j @j@@j`@j@j@j@j@k@k @k@@k`@k@k@k@k@l@l @l@@l`@l@l@l@l@m@m @m@@m`@m@m@m@m@n@n @n@@n`@n@n@n@n@o@o @o@@o`@o@o@o@o@p@p@p @p0@p@@pP@p`@pp@p@p@p@p@p@p@p@p@q@q@q @q0@q@@qP@q`@qp@q@q@q@q@q@q@q@q@r@r@r @r0@r@@rP@r`@rp@r@r@r@r@r@r@r@r@s@s@s @s0@s@@sP@s`@sp@s@s@s@s@s@s@s@s@t@t@t @t0@t@@tP@t`@tp@t@t@t@t@t@t@t@t@u@u@u @u0@u@@uP@u`@up@u@u@u@u@u@u@u@u@v@v@v @v0@v@@vP@v`@vp@v@v@v@v@v@v?Mv;1?NWT2j?ORl?Orͳ?P9f18?)wȎz?>?<D~?IӉ?RN#?SQ ?Jxh?\S?Ą@Bo?Tky?NYِ*?6I8?q\1Y?Up?V5%"ơ?֢ #?D[Fx?VݍJ?W3Qh?Wg`q ?W&?W˧;?W=s?X~)?X70?$Ȭ?̒jP?X/ ?XmĤ?Xqm?XD~pY?Su?K k?vy?v^?Y(a?YqoC?YSA?Y+ڬ?f?I+?YQS?Y{ ?«Hf?~8?AA?hqG?Yr $?Ye5}?YV=E?YG$ϲ?p*?a?Y>#b?Y.mYR_Q?ebZh+c?ck cV?Xɣ?5_,? _?SH4?N?Y^345?YVq?YMƜ?YCI'*?Y/!d?7?AFm?*?Y/}8?-ffw?0x:??v?GR?cGsJ?d?R-?v&(`?|G??0?O ?gL(?o9W?Yp6?YxM)?Y~?Yc?Y1ؕ,?dӿ/UX?[?Yw_]?Yo?YId?Ya{?Yae?Y|Z?p*4J?&01#?y9{??Y{O=?Yt?7??,??eD6? M?ZD&? @B?,Ap ?Yů ? _?2_?"x?EI,wW??ēBg?_"?^c?jGx? +#9??^>mm?mZ?#Ɏ?]شr3?]ѶQ|?]ʜW?]kNEF?]/?]p?th? wǂ?јw@?\&܃?\?\u)a,?\d 9?\Z<5?\Z\JH?\TC@ ?^ؐOn??\PKߧp?\TcHhV?\CX?ZNJ ]v0?Z@݋`?ͷW?NYِ*?@W VP?`!=gi?`ҏ?`{?`}1?`*]a?`??`fE?Μ?3aV\-(?v@?qpF7?w-UΏ?] ?f?#9?3]$D?WGJk?_Di?_/?_$.C?_~Y?_ղ?_(?_wE?_"Sw^?!?@G,?rv?^s_?^^`c?^G s?>?nkC?yKxF?^=X?^Do*?证bk/?wl=j?h?^J. ?[H??[9wߤ?[\ W5?[*Du?Z?O?t8?C6iH?Z5?ZEȕ?vݬ?-Dܩ?LY?x9́'?YnFVQ?Y$:@B?DB?aT;?fz??7?Y.8MZ?Xt?X|+?Xnو?X6?ҵ@?_x5@?W@Ō?ib?neb`?WU1-e?W:m?W>&?Wa?VJX?V5Ѹ?3l ?4?>?iPr?G^?m;V:?r,LR ?Vxx?V٧?V>6?Vlu?VH9nzv?5 ??V_:?k5m?tG?Vֈ?VK?VA (?VL,?Vަ,?VĺQe?Vnj?V.lw?VկR3?V?V̠,/?婡r?Ûˣ??SIu?z[?#?W>?WW?Wq?W'?WK?WQx]$?W?Q?V2;o?~PM?&c?W?W(-?WGΩ5?W>ڶ?W>\(33335??@A8@>\(33335@QR???  cf_Air_TempTif (Plantime=1) then -Bio_TIME/DT else if (Air_temp_C > 5) then Air_temp_C else 0   T                    !Biological time counter " #c7 ?.,D$?tÞ;???웩Y<̩?.,D$?tÞ;?tÞ;?tÞ;?????tÞ;? Wat_stress_lowSIN(Water_avail*PI/2)^W_t_min6(         !Dimensionless proportion ranging from no physiological stress (return value=1.0) to maximum (=0.0 when water is limited). This function only accounts for current (not historical) water availability. ET chapter in Haan et al. (1982)." #c 8??????  PhB_C_rec0U !" #c =?d??A~z70?:sdQ?dn"A>j0,n?  Total_biom MAC_PH_BIOMAS+MAC_NPH_BIOMAS    !$?nO;?nj?nE*?n?n?nYF?n?n ?nn%?n@f,?n&[?gD,?ݗPF?;$?:7?~aLb?ŒfwI?߁m?ڿ?Md?൐pT-:?}(?TS3?=A?gc'y?xzP}?፳r?my?E ?9lW?.֞?$ ?&mn?F.p?YuV?y?䚄_?Gz?ݿ&!:?u?\Ch?D0:?`(#?!ߠzܠ?Dڜp?fϊS?冎S?天¹?Х)F?ѻ?d?Ž\3Y#Total biomass of macrophytes (kg)." #c ;?ffffff?ffffff??@@?ffffff?ffffff?ffffff?ffffff;????@?ffffff?  NPh_Ab_Bel0.7$  ?ff ffff!z|?  5? q5?Dؕ?q}?q4?? G4? ;y?g?œA?Y? 6d? 6?%&Og?$n2?A:D?X?溺D?yq$?F7eD?  J?« > ?>V?=R4U?Yw5?ǞKa?WP?pņ?ʠW?Nn p?8qO2??^-|/?_'r?ͽL!?Һcy=?maât?Ӷ-??uPu(?5xj6W?ԇYS0?Oo?:-0P?eq?և鴎Q?Ms?Xm;?l~PR?ؾ/T,6?>i?q>ԗ?ٞ,DŽ0?!uZB'?!*?GG?cM<^?oy!9?Ze$8?҈?XF?߈R?ѽq3?"Ճe?:?4tJ?Y@?p r?~“?]?U?CX@?dդ}?c,`?(պ?J;3X?z1?d7?<?5+dPCarbon biomass of the non-photosynthetic portion of macrophytes. Units kg/m^2 " #s  L?}Q(W??}Q(W@R|c'b=Rմ 9?}Q(WnLn? MAC_PH_BIOMAS ic_PhBio\9"NUvxNU \!$?7/?Hs6?Sct?[f+/?^[,?`k ?dv&$e?hkwR?mym|B?p_0[?q{c?sS?x}9?|*5̟X?ST ?^0?=39?t?>.?2?]?p>)??sF5?dRx?*uU?Eu?Cq]om?=lR?a$?f"?n+ ?}9Ɓ{?ti2?f>PJ?[9?T?Jḃ3?d,?}Q(W?uUq?v-Y;?r?b/??O3;?>sx?.#5?!W]%?lMg? N?02 ?O?Fuq?\((?ud?C%?¹B!?¥r9?’\G(?x?„Ab?†J^Rz?we'?yL?y T?h,P?T:"?BN:?1[?!@Jn?ρf?].?eR)?цQ{u?x)?rho??"Sw?x6o?gr?X+\?D`Yp?3dH??Gs:MCarbon biomass of the photosynthetic portion of macrophytes. Units = kg/m^2 " #c .M ??t????  Removal_time/IF (MacH*PhB_pr_h> Est_height) THEN 1 ELSE 0!G,  !  G       !uRegular maintenance that does not cause death of plants. Kicks in whenever the plant height exceeds a certain value." #c,T ?v1Ś?/O???D?嶃~mA?v1Ś?/O?3'?3'?bx$;?3'?  Light_cf-SolRadGr/LightSat*exp(1-SolRadGr/LightSat)+,  +    +      !Light intensity feedback for photosynthesis of macrophytes. Results in feedback ranging from 0-1, reaching 1 at saturating light, with inhibition above saturation. " #%f fX?W+zb???W+zbn???n  Transdowngif Harvest_time>0 then 0 else Transdown_rt*(PhBio_NPP+Ph_to_Rep*MAC_PH_BIOMAS)+PhB_C_rec*Fall_litterx"L        x       "   !$?bg/?cV?bb6?X?Рy ?kO?s n?oe.Dm?}=Xr?yh5?xX0GD??r8?V6Ϗ\?s趿54?rWX ?H?aC?Sh?*1?wGS?q=\c?u|m3?}@܏?yR~?W`.?W+zb?ׅh2?Rb1d?p؟O?ryd?l{{?qM;?ta%:&?yU&?r|=?')I$$?Eh ?̐$s?AQ? coo?tlh)ؿ~?vC`O?v?fe^t?i?s{D?]{?zv~?zȲ/;?wm?P@?q~^rL&?h3D?rD:"?rF8?vvdr?oq?fIT7?[5R?[\v?bd/?hAm S@?s1?rg-z$?rL)?q1a{)?wZ ?d.N?nsu" #c _@@@@??@@@@@@@@<???@@? PO4sd_concTOT1000 !=This is temporary to make sure that there is no P limitation" #c ?c.c???c.c????  mac_LAI_rMacLAI/Max_LAI92 9 2  !" #f4z ?}Q(W???}Q(W??? PH_in5if MAC_PH_BIOMAS>PH_Max then MAC_PH_BIOMAS/DT else 00           !" #9c k*?[o???[o?[o?[o????  Transdown_rtIF Bio_TIME>Bio_Repro+1 THEN (1-1/(Bio_TIME-Bio_Repro)^0.5) ELSE IF (Ph_to_AbBMMax_Ph_to_Ab_BM[Habitat,Soil] THEN 1 ELSE Ph_to_Ab_BM[Habitat,Soil]/Max_Ph_to_Ab_BM[Habitat,Soil]" #f={?}9Ɓ{???}9Ɓ{??? PH_out>if (MAC_PH_BIOMAS>PH_Max or Plantime=1) then PH_Max/DT else 0@               !" #c c?E???E'????  Nph_Ab_BMNPh_Ab_Bel*Root_BM    !(Above ground non-photosynthetic biomass" #c Kr?????? " Fall_litterLmin(Fall_litter_calc,max(0,MAC_PH_BIOMAS-PhB_evgrn*PH_Max/(1+PhB_evgrn)))NxU< N  x    x       !" #c @@??@@@@4???@? ) Bio_Repro1700 !5bio time when reproductive organs start to grow 1900" #c }@@??@@@@@@2????@p@? + LightSat600 X!3Saturating light intensity (langleys/d) for the macrophytes . Source: 599 [corn](Chang, 1981 Table 1) 1600 (mol irradiance m^2 *s) coniferous forests ( Gholtz et all 1994, page40) 10 langley = 1kcal/m^2 1 langleys/d =0.48458 watt Irradiance =1 watt/m^2 (1 watt =1joule/sec) 1.43e-3 Langleys/min =1E M/s" #c ~@*@*??@*@*@*@*???@*? 2 Dayleng_rq13N !" #c V?333333?333333???333333?333333?333333?333333"????333333? @ Max_Ab_BM0.6$q  ?33 3333!#Max above ground biomass kg/m2 0.9" #c @@@@??@@@@@@@@???@@? G Est_height500 !" #;c,?????? NFall_litter_calcIF (Daylength > Dayleng_rq OR Daylength>=Day_length_prev) THEN 0 ELSE (IF MAC_PH_BIOMAS< 0.01*(1-PhB_evgrn) THEN (1-PhB_evgrn)*MAC_PH_BIOMAS/DT ELSE (1-PhB_evgrn)*(PH_Max*PhB_L_rt/MAC_PH_BIOMAS)^3)2x",,  2        ,   < ?z G{  x    !   x      ,   x          !" # c `???????? \ SproutingaIF (Ph_to_AbBM < Max_Ph_AbBM AND Bio_TIME >Bio_Start AND Bio_TIME < Bio_End) THEN 1 ELSE 0  ND                 !Controls the length of the new leaves growth period from stored biomass Stupid Stella. This process should be stopped after the inequality is once broken. But Stella won't allow one to do it. " #c #l?? ??@!ڟvȴ@!TE?? v????@!N>6? c Root_depth$MIN(Elevation-1,Root_BM/Root_dens)]j  ]    j   !w(kg/m2)/(kg/m3)=m Make sure that roots don't get longer than the elevation - needed in calculations of available DIN." #c @&@&???333333?333333@&@&@&@&?????@&? j Root_dens11c !" #c @(@(??@9@9@(@(@(@(????@(? qProp_LA_to_B129 !was 2" #f , ?D̻??@Wע?D̻n???n x PhBio_NPP-if Harvest_time>0 then 0 else PhBio_NPP_calcv$       v!$? MQ؋?uE[? h/?IQ?7`?%^Ku?&>~?)^/՚.?<~BPE??nl>.?E ?7^C?9||?j?J@?9QT?D̻?팝s?s~=r?qވNh#?0o?!:)?>e.?~× ?v(ĥF?p@\>?x?lU;?zR?orפi?cP H?pa:?py/nX?t \?k:K ?a%Ӝp?Qf0H?Q[oJ?Z׈VU?cnR?q!0?p;^ ?o(K?n&?v)l?^?i " #c f?????+R+R?+R+R??n??M????n??  Max_Ph_AbBM0.75q\\  ? !$??????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????NMax proportion of photo biomass in the above ground biomass (0,1)(alfa*) 0.65" #c ?3>J1`??>>?3>J1`?3?3?????3? PhBio_mort_water0.1*MAX(0,(1-Water_cf))6U(  ?  6     !Additional mortality due to lack of water Assuming that this mortality is 10 times less than the control of water deficite over photosythesis." #;c,????????????? Wat_stress_highIF (W_t_max<0 AND SURFACE_WATER>-W_t_max) THEN max(0,1/(1+EXP(SURFACE_WATER+W_t_max))) ELSE IF(W_t_max>0 AND Root_depth>0) THEN min(1,UW_depth/Root_depth/W_t_max) ELSE 1c6,,                     ,    c   +    c      ,  !1 - no stress, no limiting when water is not in excess -> 0 when there is either too much surface water, or too little unsaturated depth." #f?nO;??@4m9?nO;???? NPhBio_PlantingPlanting*(1-P_ratio)      !" #c# ?????^?????  Plantime$ if (DayJul = P_day) then 1 else 0$         !_Planting time May 1 jul calendar day 121. Source Phipps, 1995 pers.comm. see worksheet [corn]" #c ?zG{?zG{???zG{?zG{?zG{?zG{n????zG{?  Spr_rate0.01N  ?z G{!oSprouting rate. Rate of translocation of assimilates from non-photo to photo bimass during early growth period" #c?W譣???W譣Z???? Root_BMMAC_NPH_BIOMAS/(NPh_Ab_Bel+1)c      ![NPHbelow=root biomass=nonphotobiomass*below/(above+below)= nonphoto/(above/below+1) kg/m2" #c @@@@??@@@@@@@@???@@?  Bio_Start500\ !" #c?M}H˒?M}H˒???PbM?PbM?M}H˒?M}H˒?M}H˒?M}H˒?????M}H˒? P_wt0.0009  ?M} H˒!" #f(? :֞??AסfQ? :֞???? NPhBio_harvest)Harvest_time*NPh_pr_h*MAC_NPH_BIOMAS/DT+         !" #c 8?????)?????  Harvest_time9if (DayJul > H_day AND DayJul < H_day+3) THEN 1 ELSE 0 xU<               !* Time of harvest is determined by a day. " #c B ?˚???˚n???n?  Ph_to_AbBMCIF Nph_Ab_BM=0 THEN 0 ELSE MAC_PH_BIOMAS/(MAC_PH_BIOMAS+Nph_Ab_BM)\4            !$?h ?7)?vB=[?Mb1!?`J?œ ?d?slcҠ?{d??(?V?ֺ/?\?j?j>?ԳV?^?һX|?D/哶*?ټ$b? f5KG?kI#'?(?ᚡ?N>DbM?T?%8|?a?Hd?;>?-6?礪X_}?#?K"y7?lc}?' M?эYF?˚?[?秌s;A? B!+?M?XT{? 66T?B[U?Qh?˂=?¢*V?j6~f0? vؖ?UE?.h ? ?Z7?1G+8?JLP*? %?vk??SO9>]?g+R!?S?rkY>?> :z^?U?A?g?t9v{i?4g?a0?mǯ ?jNva?K2RS?(%g?KoU?5b?ో5O{?h6?1xXE>?Ic?` =3? ?4'?zB*?3 ?]?w0NM?ݗ`? ˚0?K#?mY?j-cY?ְ鳵i?ڣc?{\I??陙? = Max_Ht_bm0.8  ?陙 !Height at maximum biomass" #c ?esg?esg??@@?esg?esg?esg?esg????>h?esg? D mac_Ks_N0.00265  ?es g!" #c ?fQZ?fQZ?????fQZ?fQZ?fQZ?fQZ????>z򚼯H?fQZ? K mac_Ks_P 0.000037  ?f QZ!" #c Y @N@N??@I@I@N@N@N@Nc????@N@N?] ElevationZif Depth_MSL_map > 0 then Datum_to_MSL-Depth_MSL_map else Elev_MSL_map+Datum_to_MSL c4             !dIF there is sediment surface BELOW MSL (e.g., tidal creeks) then use the bathimetry data (depth below MSL) to determine elevation of sediments above the base datum. ELSE use the land elevation data above MSL (indicating distance from MSL to the soil surface) plus the distance from the datum to mean sea level ALL VALUES ARE POSITIVE (m) above base datum." #g  ??????n $Macrophytes!" #c  ??>h>h?????`bM? o PhB_mort0U !" #"c[?D̻??@')6?D̻"???? vPhBio_NPP_calc\IF MAC_PH_BIOMAS#. cr?$2^=l????@OIH? MacHMax_Ht_bm *Total_biom/max_BM= =     !mHeight of the plants relative to current biomass. Max height occurs at max biomass. units = m * dimless = m" #cn@"@\)@^Gz??@\)@^Gz@k\)@k\)???@mciB@k\)? 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P/Bb?pyFtY?Q_?kQ_?P/Bb?MUS?rZ5*+&?[E1?$d;GnAĶoҰWpn@?+ORAR?_8U?Fz}"?pϋ?FnÌo*(>`P/.?S>QX?gȢ#^?>?td;G?8xGQ !" #cl@YH?????SatW_from_precipDayJul `?G:@G:@!:@G:@5 +@!9@'~*Pe@?+zi@@G:@@Et]@A[1_@A@Bcp!@B[4@C̄{@CV@D5 + @D#BP@E|ӗ@ES7@F|%@FL*Pl@G pd$@G%`@H!A@Hu@I#BKu@IJ@J$]@J`@K&(2@Kɲl2@L'~@R[6@Rr?xY@S̄|@S[&ɲl@SV@SS@@T5 +@T\&+@T#BN@TDh_q@U|Ӕ@U]򙽷@US7@Uޭ|ӑ@V| @V_b fC@VL*Pf@VG:@W pd$@W`@W%`@W@X!8@Xb4/[@Xu~@X.@Y#BKu@YcDh_@YJ @YQ΢4-@Z$P@ZeXs@Z`@Zܹ@[&(2@[fomO@[ɲl"@[#E@\'~@by9"@b[4@bE#F@br?xX@bb j@c̄|@c:#@c[&ɲl@c{S@@cV@c1]@cS@@cvz@d5 + @d@f_b fP@f)b@fL*Pt@fnņ@fG:@gCկ@g pd$@g@@g`@g>@g%`@gR,n@g(@hIX:@h!L@hB fB^@hb4/p@haR,@hu@h»@h.@iܽ@i#BKu@iCp!@icDh`@if@iJ$@i$6@iQ΢4H@j~0Z@j$l@jD6M~@jeX@j3{j}@j`@jōg@j@kQ@k&(2@kFBJ<@kfomO @k&2@kɲlD@kV@k#h@lQz@l'~@qXT@qhk2V#@qxY@qT5@q@qw/@G@qvz@q򙽵Y@q +@qL*k@q6Md@r Lڟ}@rcp!@r)zi@r9O@rI#@rY>*@riF@ry9<@ris@r[N@r.@rE#`@r[1]@rr?xr@rп@rb @s NH @s̄@s*ܽ@s:#@sK8k21@s[&ɲl@sk=ZC@s{S@@sj}U@sV@sg@s1]@s¥y@sSA@s3{@svz@t @t5 +&@t,L*Pe@t?@u= H@uMaRQ@u]@unc@u~&(2@u3_ >3_ ?&ll SW_from_precipDayJul `?@@@@@@@ @"@$@&@(@*@,@.@0@1@2@3@4@5@6@7@8@9@:@;@<@=@>@?@@@@@A@A@B@B@C@C@D@D@E@E@F@F@G@G@H@H@I@I@J@J@K@K@L@L@M@M@N@N@O@O@P@P@@P@P@Q@Q@@Q@Q@R@R@@R@R@S@S@@S@S@T@T@@T@T@U@U@@U@U@V@V@@V@V@W@W@@W@W@X@X@@X@X@Y@Y@@Y@Y@Z@Z@@Z@Z@[@[@@[@[@\@\@@\@\@]@]@@]@]@^@^@@^@^@_@_@@_@_@`@` @`@@``@`@`@`@`@a@a @a@@a`@a@a@a@a@b@b @b@@b`@b@b@b@b@c@c @c@@c`@c@c@c@c@d@d @d@@d`@d@d@d@d@e@e @e@@e`@e@e@e@e@f@f @f@@f`@f@f@f@f@g@g @g@@g`@g@g@g@g@h@h @h@@h`@h@h@h@h@i@i @i@@i`@i@i@i@i@j@j @j@@j`@j@j@j@j@k@k @k@@k`@k@k@k@k@l@l @l@@l`@l@l@l@l@m@m @m@@m`@m@m@m@m@n@n @n@@n`@n@n@n@n@o@o @o@@o`@o@o@o@o@p@p@p @p0@p@@pP@p`@pp@p@p@p@p@p@p@p@p@q@q@q @q0@q@@qP@q`@qp@q@q@q@q@q@q@q@q@r@r@r @r0@r@@rP@r`@rp@r@r@r@r@r@r@r@r@s@s@s @s0@s@@sP@s`@sp@s@s@s@s@s@s@s@s@t@t@t @t0@t@@tP@t`@tp@t@t@t@t@t@t@t@t@u@u@u @u0@u@@uP@u`@up@u@u@u@u@u@u@u@u@v@v@v @v0@v@@vP@v`@vp@v@v@v@v `?z?"IWa? }?VO+P?Zx?^e;Y>LF>l? 8*?(xB>⬗X>/;aU>P~̨> C >Nrt=Ң6*=;!' =;o>ʢCBD>%ho>ʢB5=;t<;x z<;(>馢@>MX@s8?Ѣ>Nl+!>Nl+!<;ZM;;ނs;ҢmQS>%ho? 8>%ho;tҢ6B? @? R\d *? #o5_>&>U9i>52,>AI>QZ˅>>Nǿk=>O޲? cԑ? cԑ?YPyG?";*>Kޥ?馢@>Nl+!?" ?Kޥ>Oޏ ?K{IT?s ?% >Nl+!>馢@?Q!:62? 9r?}c ? L.N>B5?Vj>Kޥ?"?w"AA/?% 9}9u9UG195>ڢB5?%ho>ڢB58]z8]z8uC\f8U,+85DC?Kޥ?9o?hR#?,q>Oޏ 7uZ(>馢@>B5>Nl+!?Oޏ >棅>ڢB5?%ho>ڢB5>it?˝!VV?$&H?$y.>M^O-?&H>ڢB55uw>Kt~Y?(2~ ?";*>%ho>%ho? 8>%ho4u4U 45 4 3 ?Ic?;`(^?R~-->o<3UYm>35=3k2&2&2ₜ>Nl+!>馢@>Nl+!25=2f|>z? zy\>z11uy1Uó\&15 μa1҅0aA0[o0d0[o0u0U05X0g?8a4>?(f^?F|Ͱ>o%ho? א?o<>ҤKޥ.ق.a:.f.u`-.U`-.5`-?O?0jV?O=*>,q>,q>?#dsA?!z{ a>L.N>B5>o<>o<>馢@,u”9,UȻV,5H@,q++J>ڢB5?%ho>馢@?qc?csl&l?jE?P/Bb>Nl+!?$O?@?sk$>MX@s8*U}+*5}+*}+)X^*)m)1)SH ?0wFze??ZnƇ8n>cԑ(w(w>Nl+!?Nl+!?*"k?Oޏ (5= >Nl+!?";*?r#? P&k'&'uҎV'UҎV'5Qa>L.N?z>L.N&ӁZ&&uH9&UH9&5>(? 2_?)hR#?aUZzu>Nl+!%I/%u;%UL]%5;%I>Nl+!>馢@>Nl+!$m>? 2_?SmDd?%ho>B5#K>馢@?&H?@4[?U@O>cԑ#g"t"",>馢@>o<>馢@?E $k?}?E $k!#!a"!!uW!Ub>Nl+!?馢@?P/Bb?" ?X?Ev ?J+X U  5z   >Nl+!>馢@>Nl+!>Nl+!>馢@>Nl+![;@DDuDML@s=L@s5Z p>馢@>B5>M^O-?Nl+!?Kޥ>馢@5v聬?Kޥ?PG[?ip?o<%B>LC?'M^O-?HN?{"Ɂ?UUy? 2_LES /S>Nl+!?B7~?9}wl?:ިc^t>Nl+!>O=*?oʢB5}L&JuꍷML&J>SmDd>MX@s8>\֋?t >Lλ>Nˠ>Rr$?Kx٠?rjj?B5>3_  !Rainfall and snowmelt go into the unsat layer. Only what's in excess is made available for runoff. max(0,Tot_Precip-Us_wt_from_precip-Sat_wt_from_precip) m" #cl@YJ??? lq????SW_to_SatW_downflowDayJul `?@@@@@@@ @"@$@&@(@*@,@.@0@1@2@3@4@5@6@7@8@9@:@;@<@=@>@?@@@@@A@A@B@B@C@C@D@D@E@E@F@F@G@G@H@H@I@I@J@J@K@K@L@L@M@M@N@N@O@O@P@P@@P@P@Q@Q@@Q@Q@R@R@@R@R@S@S@@S@S@T@T@@T@T@U@U@@U@U@V@V@@V@V@W@W@@W@W@X@X@@X@X@Y@Y@@Y@Y@Z@Z@@Z@Z@[@[@@[@[@\@\@@\@\@]@]@@]@]@^@^@@^@^@_@_@@_@_@`@` @`@@``@`@`@`@`@a@a @a@@a`@a@a@a@a@b@b @b@@b`@b@b@b@b@c@c @c@@c`@c@c@c@c@d@d @d@@d`@d@d@d@d@e@e @e@@e`@e@e@e@e@f@f @f@@f`@f@f@f@f@g@g @g@@g`@g@g@g@g@h@h @h@@h`@h@h@h@h@i@i @i@@i`@i@i@i@i@j@j @j@@j`@j@j@j@j@k@k @k@@k`@k@k@k@k@l@l @l@@l`@l@l@l@l@m@m @m@@m`@m@m@m@m@n@n @n@@n`@n@n@n@n@o@o @o@@o`@o@o@o@o@p@p@p @p0@p@@pP@p`@pp@p@p@p@p@p@p@p@p@q@q@q @q0@q@@qP@q`@qp@q@q@q@q@q@q@q@q@r@r@r @r0@r@@rP@r`@rp@r@r@r@r@r@r@r@r@s@s@s @s0@s@@sP@s`@sp@s@s@s@s@s@s@s@s@t@t@t @t0@t@@tP@t`@tp@t@t@t@t@t@t@t@t@u@u@u @u0@u@@uP@u`@up@u@u@u@u@u@u@u@u@v@v@v @v0@v@@vP@v`@vp@v@v@v@v ` !If there was no unsat layer before, but there is one now, we assume that it appeared becasue of transpiration and horizontal fluxes. Then all the unsat storage will be filled and the saturated water will reach surface again if there is enough surface water. Assumes that vertical fluxes from surface water to saturated water are at least as fast as horizontal groundwater flow plus transpiration losses (m/day) " #cl@YK??????SatW_to_SW_upflowDayJul `?@@@@@@@ @"@$@&@(@*@,@.@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 ` !When the total storage capacity of the soil is exceeded by the water in the saturated tank, that overcapacity is routed to the surface water. Even before that when saturated water head exceeds the minimal surface elevation that represents the elevation in streams, creeks, a part of saturated water starts to seep into the surface storage. Multiply by 2 because water is seeping into the stream from both sides." #c l?L?mX?3"{'???$/?$/?mX?3"{'?bLg{~r?bLg{~r>uMUi?3"{' SatW_outfluxDayJul `?@@@@@@@ @"@$@&@(@*@,@.@0@1@2@3@4@5@6@7@8@9@:@;@<@=@>@?@@@@@A@A@B@B@C@C@D@D@E@E@F@F@G@G@H@H@I@I@J@J@K@K@L@L@M@M@N@N@O@O@P@P@@P@P@Q@Q@@Q@Q@R@R@@R@R@S@S@@S@S@T@T@@T@T@U@U@@U@U@V@V@@V@V@W@W@@W@W@X@X@@X@X@Y@Y@@Y@Y@Z@Z@@Z@Z@[@[@@[@[@\@\@@\@\@]@]@@]@]@^@^@@^@^@_@_@@_@_@`@` @`@@``@`@`@`@`@a@a @a@@a`@a@a@a@a@b@b @b@@b`@b@b@b@b@c@c @c@@c`@c@c@c@c@d@d @d@@d`@d@d@d@d@e@e @e@@e`@e@e@e@e@f@f @f@@f`@f@f@f@f@g@g @g@@g`@g@g@g@g@h@h @h@@h`@h@h@h@h@i@i @i@@i`@i@i@i@i@j@j @j@@j`@j@j@j@j@k@k @k@@k`@k@k@k@k@l@l @l@@l`@l@l@l@l@m@m @m@@m`@m@m@m@m@n@n @n@@n`@n@n@n@n@o@o @o@@o`@o@o@o@o@p@p@p @p0@p@@pP@p`@pp@p@p@p@p@p@p@p@p@q@q@q @q0@q@@qP@q`@qp@q@q@q@q@q@q@q@q@r@r@r @r0@r@@rP@r`@rp@r@r@r@r@r@r@r@r@s@s@s @s0@s@@sP@s`@sp@s@s@s@s@s@s@s@s@t@t@t @t0@t@@tP@t`@tp@t@t@t@t@t@t@t@t@u@u@u @u0@u@@uP@u`@up@u@u@u@u@u@u@u@u@v@v@v @v0@v@@vP@v`@vp@v@v@v@v `?3"{'?T.&?@?c?֧ ?mr"?sjkG|(?wЈ2?{_ ?bA=?>on?H?7i"H?mZ?&A(?' ]?p*?H!u?5??jž\?jG ?jFCRw?ia5?itnp?iW^?iI]5Kx?i2Ѷ?i!,?hl?h b?hgFyY?h"OA?g؄ޞ?g|?g-b??f |̢?ff?e<1?ep:2?eChi6?eNE?dho)?d.q 6?dw7?d`???d%taYi?c洪l$?c.5B?cpl?c/\0y?b a?b,?bb t ?b'򄹰?b_?a $?a>?ai?ag-?a1j?ae٨?aUvn?aV),t'D?aSҐF;?aI?a?4n=?a1OG)?a9:?`y??`ҙ?`Dyg?`m&6?`:j?`1 :?`@V?`LF;?`OAl,?`Gbs?`6pZ?`#2?__#b@?_@E?_Ba4x?^O?^cBo2m?]TE?][/~?\ kN?\f".~?\ U}u?[ |?[9M9?Zv?ZC|pWũ?Y"u?Y/X?XQn?Xm¦?Wf&X7R?VĭnH?V =:?Uy0dd?T8s?T9츮?Tc ?TϴC?T ?T?T)po\a?T@):?TI4?TE4֤?T3Wb?TޯŢ?S.^?S`y[@?SXK?S!)?SG]?SEw?Sf/x?SD?T73Q?Tv#(?Tנ?U,*?Urqx2?Unaz?UKPP?U"n?UE?q?U(w!?U?Um'?Uꌞ?UYrP?U$)?Th?Ti?UV'?U#0;?VU8}?W$?WU3?XGcZ?XfsI?YQPq0?YVE?YOǠ?Z,Z˱?ZIF3ڼ?ZS,;?ZK7?ZGz:?Z; /?[$wj?['?\@Yٻ?\7?\?]`n?]T34?]Zg2F?]gp/E?^ydic?^L9?_;C=?_Уφ?`'xr{?`W#y?`zd8[?`+,\2?`X?`ysK?`E?`dIMb?`v _ ?`X\?`2?`*S?_j]?_:1CR?^O?^>p?]KKb?]"5?\}M?[A_s?[PFq^?ZcG*?Z6d%]?Y3C/n?YU,;?XfZvf?Xao[?WX'?WZ?bb\a?bSz⅁?b;2tK?b"?b,?bLg{~r !saturated water cellular exchanges less proportion that goes to sufrace water outflow was 0.001 The usual cludge to make it a spatial variable" #c O@@????@@@@E????@@? HabitatMap3 !FHabitat numbers: 3 = corn 2 = forest 1 = open water other not defined" #c n@.V@-\(\@" =p??@-\ֈ@")@?@@@@@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@"\(@"ǮzH@"@"R@" =p@"Gz@"fffff@"Q@"\(@#@#Q@#\(@#@## =p@#.zG@#8Q@#B\(@#L@#W =p@#ffffff@#p =q@#@#=p @#@# =p@#33333@#\(@#R@#Gz@# =q@$@$\(@$Q@$.zG@$=p =@$QR@$aGz@$u\(@$Q@$@$\)@$p =@$R@$Gz@$\(@% =p @%Q@%333333@%GzH@%\(\@%p =q@%Q@%@%zG@%\(@% =p@% =q@&Q@&@&333333@&GzH@&\(\@&u\(@&=p @& =p@&Q@&R@&fffff@'@'zG@'.zG@'B\(@'\(\@'p =q@'=p @' =p@'Q@'R@'fffff@(@(@(.zG@(GzH@(\(\@(u\(@(\(@( =p@(p =@(R@(Q@)@)@).zG@)GzH@)\(\@)u\(@)=p @) =p@)Q@)@)fffff@)G{@*\(@*(\)@*=p =@*QR@*ffffff@*zG{@*\(@* =p@*Q@*@*Gz@*\(@+ =p @+Q@+.zG@+B\(@+W =p@+ffffff@+zG{@+=p @+Q@+zG@+\(@+R@+Gz@+ =q@,@,\(@,Q@,.zG@,=p =@,L@,\(\@,ffffff@,u\(@,@,\(@,@,\)@,33333@,p =@,ǮzH@,R@,(\@,fffff@, =q@,G{@-@- =p @-zG@-@-Q@-(\)@-.zG@-333333@-8Q@-=p =@-B\(@-GzH@-L@-L@-QR@-W =p@-W =p@-W =p@-\(\@-\(\@-\(\@-\(\@-\(\@-\(\@-\(\@-\(\@-W =p@-W =p@-QR@-QR@-L@-GzH@-GzH@-B\(@-=p =@-8Q@-333333@-(\)@-# =p@-Q@-zG@-\(@-Q@-@,\(@,Q@,Gz@, =p@,@,\(@,Q@,zG@, =p@,zG@,=p @,zG{@,p =q@,aGz@,QR@,GzH@,8Q@,(\)@,@, =p @+G{@+Q@+(\@+ǮzH@+Q@+\)@+zG@+Q@+p =q@+aGz@+L@+8Q@+(\)@+zG@+@*Q@* =p@*ǮzH@*33333@*Q@*Q@*p =q@*\(\@*GzH@*333333@*Q@*Q@) =q@)(\@)\(@)zG@)@)@)kQ@)QR@)=p =@)# =p@)\(@(\(@(Gz@(ǮzH@(33333@(@(Q@(kQ@(QR@(=p =@(# =p@(\(@'\(@'(\@'ǮzH@'zG@'zG@'@'ffffff@'QR@'8Q@'# =p@' =p @& =q@&(\@&\(@&zG@&@&@&kQ@&QR@&=p =@&(\)@&\(@%G{@%fffff@%@%Q@% =p@%\(@%zG{@%ffffff@%QR@%=p =@%(\)@%zG@%@$Q@$(\@$ǮzH@$33333@$ =p@$\(@$@$kQ@$\(\@$GzH@$8Q@$(\)@$@$Q@#\(@#fffff@# =p@#@#p =@#zG@#Q@#zG@#Q@#zG{@#kQ@#aGz@#QR@#GzH@#=p =@#333333@#(\)@#Q@#zG@# =p @#Q@"G{@" =q@"Q@"Gz@"(\@" =p@"R@"ǮzH@"\(@"p =@"p =@"Q@"33333@"zG@"zG@"\)@"\)@" =p@" =p@" =p@" =p@" =p@" =p@" =p@" =p@"\)@"\)@"\)@"zG@"33333@"33333@"Q@"p =@"\( !length of day, hours" #c m@$@>X@7K+E(@6??@7K+E(@6@6}Z@6}Z???@6? 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