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["Crop Nutrient Response Tool (CNRT)"]
[]
[null,"This evaluation tool was designed to assist in interpretation and record-keeping for on-farm field crop trials involving multiple rates of any added nutrient."]
[null,"Its main goal is to provide the best possible estimate of \"optimum rate\" for a single-year response - the maximum rate at which it is profitable to apply a purchased nutrient - from limited data."]
[null,"The optimum rate is calculated without regard to residual effects on subsequent crops.  The analysis is therefore more useful for mobile nutrients like nitrogen and less applicable to soil-retained nutrients like phosphate and potash."]
[null,"It can also function as a record-keeping tool.  The summary worksheet provides a single-row storage for a thousand or more site-years."]
[null,"For best results, trials should have at least four rates, and one of them should be zero or less than 25% of the highest rate applied."]
[null,"MERNs are calculated from fitted curves without assessment of statistical significance.  The probability that they do not differ from zero is not calculated."]
[null,"Interpretation should NOT be based on calculated MERN alone.  It SHOULD include visual inspection of the relation of the fitted curve to the original data, and knowledge of data reliability."]
[null,"For computers without the Solver add-in, or if the \"Fit\" macro will not run, the response curves can be fit manually by tweaking the ABC coefficients for a good visual fit and maximum R-square."]
[null,"Note that cells with formulas are locked for protection.  Password to unprotect is \"ipni\"."]
[null,"Version 4.5 - May 2013 - assigns a weight of zero to the curve of lowest R-square, 1 to the curve with the highest, and intermediate weights to those in between"]
[]
[null,"Equation Form:",null,"R = price ratio (bushels of grain per pound of fertilizer nutrient); Y = Yield (bu/A); X = Rate of nutrient applied (lb/A)"]
[null,null,"Quadratic (Q):","Y = A + BX + CXX",null,null,null,null,null,null,"MERN = (R-B)/(2C) ",null,null,null,"A = intercept; B = initial slope; C = curvature"]
[null,null,"Quadratic Plateau (QP):","Y = A + BX + CXX when X<B/-2C; otherwise Y=A + BB/-2C + BB/4C",null,null,null,null,null,null,"MERN = (R-B)/(2C) ",null,null,null,"A = intercept; B = initial slope; C = curvature"]
[null,null,"Mitscherlich (M):","Y = A + Bexp(CX)",null,null,null,null,null,null,"MERN = (1/C)*ln(R/(B*C)) ",null,null,null,"A = maximum yield; B = intercept minus maximum; C = curvature"]
[null,null,"Linear-Plateau (LP):","Y = A + BX when X < (C - A)/B; otherwise Y = C ",null,null,null,null,null,null,"MERN = (C-A)/B if B>R; else MERN = 0",null,null,null,"A = intercept; B = slope; C = maximum yield"]
[null,null,"Spherical-plateau (S):","Y = A + B(3X/(2C) - 0.5(X/C)^3) where X < C; otherwise Y = A + B",null,null,null,null,null,null,"MERN = SQRT(C^2 - 2*BR*C^3/(3*B))",null,null,null,"A = intercept; B = maximum minus intercept; C = minimum rate for maximum yield"]
[null,null,"When responses are near linear, the quadratic and linear-plateau models will become close to linear models."]
[]
[null,"Moisture and Quality of Harvested Crop:"]
[null,null,"To account for the value of differences in moisture or quality that result among applied rate treatments, convert their cash cost or value into units of yield and make appropriate adjustments to the yield data entered."]
[]
[null,"Credits:","This spreadsheet was developed by Dr. TW Bruulsema, in consultation with Dr. TS Murrell,  IPNI Northcentral Director."]
[]
[null,"Contact:","Tom Bruulsema, PhD, CCA"]
[null,null,"Director, Northeast Region, North America Program "]
[null,null,"International Plant Nutrition Institute"]
[null,null,"18 Maplewood Drive"]
[null,null,"Guelph, Ontario, Canada  N1G 1L8"]
[null,null,"cell: (519) 835-2499"]
[null,null,"email: Tom.Bruulsema@ipni.net"]
[null,null,"http://www.ipni.net/cnrt"]
[]
[]
[]
[null,"Lists: these are used for drop-down menus in some of the site information fields."]
[]
[null,"Previous Crop",null,null,null,"Soil Texture",null,null,"Tillage",null,null,"Application Timing"]
[]
[null,"Barley",null,null,null,"Clay",null,null,"no-till",null,null,"preplant surface"]
[null,"Edible Beans",null,null,null,"Clay loam",null,null,"conservation-till",null,null,"preplant incorporated"]
[null,"Forage <33% legume",null,null,null,"Heavy Clay",null,null,"spring chisel",null,null,"broadcast preemerge"]
[null,"Forage 30-50% leg",null,null,null,"Loam",null,null,"spring moldboard",null,null,"sidedress surface"]
[null,"Forage >50% legume",null,null,null,"Loamy Sand",null,null,"fall chisel",null,null,"sidedress injected"]
[null,"Grain Corn",null,null,null,"Sand",null,null,"fall moldboard",null,null,"NA"]
[null,"Oats",null,null,null,"Sandy Clay",null,null,"conventional"]
[null,"Silage Corn",null,null,null,"Sandy Clay loam",null,null,"NA"]
[null,"Soybeans",null,null,null,"Sandy loam"]
[null,"Wheat",null,null,null,"Silt loam"]
[null,"Wheat-clover",null,null,null,"Silty Clay"]
[null,"Cereal-clover",null,null,null,"Silty Clay loam"]
[null,"NA",null,null,null,"NA"]
[]
[]
[]
[null,"References:"]
[null,"Bruulsema, TW, PE Fixen, and CS Snyder. 2004. Fertilizer Nutrient Recovery in Sustainable Cropping Systems. "]
[null,"Snyder, CS, and TW Bruulsema. 2007. Nutrient Use Efficiency and Effectiveness in North America: Indices of Agronomic and Environmental Benefit"]

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[null,"Crop Nutrient Response Tool (CNRT) v4.5",null,null,null,"R2-weighted Mean","Quadratic (Q)","Quadratic- Plateau (QP)","Mitscherlich (M)","Linear-Plateau (LP)","Spherical (SP)"]
["Step 1: Enter rate and yield data.",null,"Fertilizer rate, lb/A","Crop  Yield, bu/A","A:",null,91.97095386806113,91.127044066365428,188.87973582705112,94.166478869125314,91.670340047962398]
["Step 2: Click the Fit button.",null,null,null,"B:",null,1.0231882143594568,1.0842576349610928,-98.905342548977202,0.75000247812720344,87.801870836573073]
["Step 3: Adjust crop and fertilizer prices.",null,null,null,"C:",null,-2.8859185944194558E-3,-3.2915170856081667E-3,-1.4144778211619325E-2,179.99994931539214,143.35340968483089]
["Step 4: Click to append information to summary.",null,0,90,"R2:",null,{"$f":"IF(ISERROR(1-((SUM('C'!G5:G44)/COUNT('C'!G5:G44))/VAR($D5:$D44))),\"no data\",1-((SUM('C'!G5:G44)/COUNT('C'!G5:G44))/VAR($D5:$D44)))","v":0.99491709278790563},{"$f":"IF(ISERROR(1-((SUM('C'!H5:H44)/COUNT('C'!H5:H44))/VAR($D5:$D44))),\"no data\",1-((SUM('C'!H5:H44)/COUNT('C'!H5:H44))/VAR($D5:$D44)))","v":0.99633484686317153},{"$f":"IF(ISERROR(1-((SUM('C'!I5:I44)/COUNT('C'!I5:I44))/VAR($D5:$D44))),\"no data\",1-((SUM('C'!I5:I44)/COUNT('C'!I5:I44))/VAR($D5:$D44)))","v":0.99999408538407453},{"$f":"IF(ISERROR(1-((SUM('C'!J5:J44)/COUNT('C'!J5:J44))/VAR($D5:$D44))),\"no data\",1-((SUM('C'!J5:J44)/COUNT('C'!J5:J44))/VAR($D5:$D44)))","v":0.98296735214851783},{"$f":"IF(ISERROR(1-((SUM('C'!K5:K44)/COUNT('C'!K5:K44))/VAR($D5:$D44))),\"no data\",1-((SUM('C'!K5:K44)/COUNT('C'!K5:K44))/VAR($D5:$D44)))","v":0.99265003607507918}]
["Site Details",null,50,140,"MERN (lb/A):",{"$f":"IF('C'!M53,MAX('C'!J48:J298),\"NA\")","v":146.79114767721836},{"$f":"IF(AND(ISNUMBER(G5),ISNUMBER(B29),'C'!M53),MIN((1+0.1*G5)*MAX($C5:$C44),IF(G4<0,MAX((G3-B29)/(-2*G4),0),IF(G3>B29,MAX($C5:$C44),0))),\"NA$\")","v":155.530724258286},{"$f":"IF(AND(ISNUMBER(H5),ISNUMBER(B29),'C'!M53),MIN((1+0.1*H5)*MAX($C5:$C44),IF(H4<0,MAX((H3-B29)/(-2*H4),0),IF(H3>B29,MAX($C5:$C44),0))),\"NA$\")","v":145.64217865901068},{"$f":"IF(AND(ISNUMBER(I5),ISNUMBER(B29),'C'!M53),MIN((1+0.1*I5)*MAX($C5:$C44),MAX((1/I4)*LN(B29/(I3*I4)),0)),\"NA$\")","v":170.47147075601291},{"$f":"IF(AND(ISNUMBER(J5),ISNUMBER(B29),'C'!M53),MIN((1+0.1*J5)*MAX($C5:$C44),IF(J3>B29,(J4-J2)/J3,0)),\"NA$\")","v":114.44424911847975},{"$f":"IF(AND(ISNUMBER(K5),ISNUMBER(B29),'C'!M53),IF(ISNUMBER(SQRT(K4^2-2*B29*K4^3/(3*K3))),MIN((1+0.1*K5)*MAX($C5:$C44),SQRT(K4^2-2*B29*K4^3/(3*K3))),0),\"NA$\")","v":133.20369022940511}]
["Site",null,100,165,"Yield @ MERN (bu/A)",{"$f":"IF(ISNUMBER(F6),VLOOKUP(F6,'C'!B48:H298,7),\"NA\")","v":178.48314886593278},{"$f":"IF(ISNUMBER(G6),G2+G3*G6+G4*G6^2,\"NA\")","v":181.29834642569188},{"$f":"IF(ISNUMBER(H6),H2+H3*H6+H4*H6^2,\"NA\")","v":179.22219893666994},{"$f":"IF(ISNUMBER(I6),I2+I3*EXP(I6*I4),\"NA\")","v":180.00789674969135},{"$f":"IF(ISNUMBER(J6),IF(J3>'C'!O22,MIN(J4,J2+J3*J6),J2),\"NA\")","v":179.99994931539214},{"$f":"IF(AND(ISNUMBER(K6),K6>0),IF(K6<A!K$4,A!K$2+A!K$3*(3*K6/(2*A!K$4)-0.5*(K6/A!K$4)^3),A!K$3+A!K$2),\"NA\")","v":178.82757494661084}]
["Year",null,150,177,"Partial Factor Productivity (PFP), bu/lb",{"$f":"IF(ISNUMBER(F7/F6),F7/F6,\"NA\")","v":1.2158985857812252},1.1656754463807051,1.2305652152889002,1.0559414777815077,1.5728177754833716,1.3425121679334235]
["Town",null,200,183,"Agronomic Efficiency (AE), bu/lb",{"$f":"IF(ISNUMBER(F12/F6),F12/F6,\"NA\")","v":0.59561745417884293},{"$f":"IF(ISNUMBER((G7-G2)/G6),(G7-G2)/G6,\"NA\")","v":0.57433920521894422},{"$f":"IF(ISNUMBER((H7-H2)/H6),(H7-H2)/H6,\"NA\")","v":0.604873915519762},{"$f":"IF(ISNUMBER((I7-(I2+I3))/I6),(I7-(I2+I3))/I6,\"NA\")","v":0.52814411157675634},{"$f":"IF(ISNUMBER((J7-J2)/J6),(J7-J2)/J6,\"NA\")","v":0.75000247812720344},{"$f":"IF(ISNUMBER((K7-K2)/K6),(K7-K2)/K6,\"NA\")","v":0.6543154679014157}]
["County",null,null,null,"Estimated Partial N Balance (PNB), %",{"$f":"IF(AND(F6>0,ISNUMBER(F6)),F7*B$30/(F6+B$24),\"NA\")","v":0.79033408075779632},{"$f":"IF(AND(G6>0,ISNUMBER(G6)),G7*$B30/(G6+$B24),\"NA\")","v":0.7576890401474583},{"$f":"IF(AND(H6>0,ISNUMBER(H6)),H7*$B30/(H6+$B24),\"NA\")","v":0.79986738993778517},{"$f":"IF(AND(I6>0,ISNUMBER(I6)),I7*$B30/(I6+$B25),\"NA\")","v":0.68636196055798004},{"$f":"IF(AND(J6>0,ISNUMBER(J6)),J7*B30/(J6+B25),\"NA\")","v":1.0223315540641917},{"$f":"IF(AND(K6>0,ISNUMBER(K6)),K7*$B30/(K6+$B24),\"NA\")","v":0.87263290915672531}]
["State or province",null,null,null,"Estimated Recovery Efficiency (RE), %",{"$f":"IF(AND(F6>0,ISNUMBER(F6)),(F12/F6)*B$30*(1/B$31),\"NA\")","v":0.58130832615052241},{"$f":"IF(AND(G6>0,ISNUMBER(G6)),((G7-G2)*$B30*(1/$B31))/G6,\"NA\")","v":0.56054126635482537},{"$f":"IF(AND(H6>0,ISNUMBER(H6)),((H7-H2)*$B30*(1/$B31))/H6,\"NA\")","v":0.59034241004180976},{"$f":"IF(AND(I6>0,ISNUMBER(I6)),((I7-(I2+I3))*B30*(1/B31))/I6,\"NA\")","v":0.51545596475208955},{"$f":"IF(AND(J6>0,ISNUMBER(J6)),J3*B30*(1/B31),\"NA\")","v":0.73198440057459802},{"$f":"IF(AND(K6>0,ISNUMBER(K6)),((K7-K2)*$B30*(1/$B31))/K6,\"NA\")","v":0.63859617738126151}]
["Latitude",null,null,null,"Delta Yield (bu/A)",{"$f":"IF(ISNUMBER(F7),F7-VLOOKUP(0,'C'!B48:H298,7),\"NA\")","v":87.431369675495375},{"$f":"IF(ISNUMBER(G7),G7-G2,\"NA\")","v":89.327392557630745},{"$f":"IF(ISNUMBER(H7),H7-H2,\"NA\")","v":88.095154870304512},{"$f":"IF(ISNUMBER(I7),I7-(I2+I3),\"NA\")","v":90.033503471617436},{"$f":"IF(ISNUMBER(J7),J7-J2,\"NA\")","v":85.83347044626683},{"$f":"IF(ISNUMBER(K7),K7-K2,\"NA\")","v":87.15723489864844}]
["Longitude",null,null,null,"Relative Yield (%)",{"$f":"IF(ISNUMBER(F7),(F7-F12)/F7,\"NA\")","v":0.51014216058475492},{"$f":"IF(ISNUMBER(G7),G2/G7,\"NA\")","v":0.50729063822850118},{"$f":"IF(ISNUMBER(H7),H2/H7,\"NA\")","v":0.50845846444817999},{"$f":"IF(ISNUMBER(I7),(I2+I3)/I7,\"NA\")","v":0.49983581222098911},{"$f":"IF(ISNUMBER(J7),J2/J7,\"NA\")","v":0.52314725213688129},{"$f":"IF(ISNUMBER(K7),K2/K7,\"NA\")","v":0.5126185940581629}]
["Altitude"]
["Soil texture class",null,null,null,"My rate",154]
["Preceding crop",null,null,null,"Yield at my rate",{"$f":"IF(ISNUMBER(F15),VLOOKUP(F15,'C'!B43:H293,7),\"NA\")","v":179.40809636049528}]
["Expected Yield (bu/A)",null,null,null,"PFP",{"$f":"IF(ISNUMBER(F16/F15),F16/F15,\"NA\")","v":1.1649876387045148}]
["Tillage",null,null,null,"AE",{"$f":"IF(ISNUMBER(F21/F15),F21/F15,\"NA\")","v":0.5737423192860901}]
["Nutrient Source",null,null,null,"PNB",{"$f":"IF(AND(F15>0,ISNUMBER(F15)),F16*B$30/(F15+B$24),\"NA\")","v":0.75724196515793463}]
["Nutrient Timing",null,null,null,"RE",{"$f":"IF(AND(F15>0,ISNUMBER(F15)),(F21/F15)*B$30*(1/B$31),\"NA\")","v":0.55995872002396174}]
["Nutrient Placement",null,null,null,"Delta Yield (bu/A)",{"$f":"IF(ISNUMBER(F16),F16-VLOOKUP(0,'C'!B48:H298,7),\"NA\")","v":88.356317170057878}]
["Planting date",null,null,null,"Relative Yield (%)",{"$f":"IF(ISNUMBER(F16),(F16-F21)/F16,\"NA\")","v":0.50751209693168853}]
["PSNT (ppm)"]
["Manure N (lb/A)"]
["Harvest date "]
["ESSENTIAL INFORMATION"]
["Crop ($/bu)",5.0999999999999996]
["Fertilizer ($/lb)",0.64]
["Price ratio (f/c)",{"$f":"B28/B27","v":0.12549019607843137}]
["Crop nutrient content (lb/bu)",0.65]
["Nutrient harvest index",0.66600000000000004]

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["Calculations worksheet - do not enter data here"]
[]
[null,"Predicted Curve Values",null,null,null,null,"Squared differences predicted less observed"]
["Obs","Q","QP","M","LP","S ","Q","QP","M","LP","S ",null,"Technical"]
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[14,{"$f":"IF(ISNUMBER(A!C18),A!G$2+A!G$3*A!C18+A!G$4*A!C18^2,\"\")","v":""},{"$f":"IF(ISNUMBER(A!C18),IF(A!C18<(A!H$3/(-2*A!H$4)),A!H$2+A!H$3*A!C18+A!H$4*A!C18^2,A!H$2+A!H$3*(A!H$3/(-2*A!H$4))+A!H$4*(A!H$3/(-2*A!H$4))^2),\"\")","v":""},{"$f":"IF(ISNUMBER(A!C18),A!I$2+A!I$3*EXP(A!I$4*A!C18),\"\")","v":""},{"$f":"IF(ISNUMBER(A!C18),IF((A!J$2+A!J$3*A!C18)<A!J$4,A!J$2+A!J$3*A!C18,A!J$4),\"\")","v":""},{"$f":"IF(ISNUMBER(A!C18),IF(A!C18<A!K$4,A!K$2+A!K$3*(3*A!C18/(2*A!K$4)-0.5*(A!C18/A!K$4)^3),A!K$3+A!K$2),\"\")","v":""},{"$f":"IF(ISNUMBER(A!$C18),(B18-A!$D18)^2,\"\")","v":""},{"$f":"IF(ISNUMBER(A!$C18),(C18-A!$D18)^2,\"\")","v":""},{"$f":"IF(ISNUMBER(A!$C18),(D18-A!$D18)^2,\"\")","v":""},{"$f":"IF(ISNUMBER(A!$C18),(E18-A!$D18)^2,\"\")","v":""},{"$f":"IF(ISNUMBER(A!$C18),(F18-A!$D18)^2,\"\")","v":""}]
[15,{"$f":"IF(ISNUMBER(A!C19),A!G$2+A!G$3*A!C19+A!G$4*A!C19^2,\"\")","v":""},{"$f":"IF(ISNUMBER(A!C19),IF(A!C19<(A!H$3/(-2*A!H$4)),A!H$2+A!H$3*A!C19+A!H$4*A!C19^2,A!H$2+A!H$3*(A!H$3/(-2*A!H$4))+A!H$4*(A!H$3/(-2*A!H$4))^2),\"\")","v":""},{"$f":"IF(ISNUMBER(A!C19),A!I$2+A!I$3*EXP(A!I$4*A!C19),\"\")","v":""},{"$f":"IF(ISNUMBER(A!C19),IF((A!J$2+A!J$3*A!C19)<A!J$4,A!J$2+A!J$3*A!C19,A!J$4),\"\")","v":""},{"$f":"IF(ISNUMBER(A!C19),IF(A!C19<A!K$4,A!K$2+A!K$3*(3*A!C19/(2*A!K$4)-0.5*(A!C19/A!K$4)^3),A!K$3+A!K$2),\"\")","v":""},{"$f":"IF(ISNUMBER(A!$C19),(B19-A!$D19)^2,\"\")","v":""},{"$f":"IF(ISNUMBER(A!$C19),(C19-A!$D19)^2,\"\")","v":""},{"$f":"IF(ISNUMBER(A!$C19),(D19-A!$D19)^2,\"\")","v":""},{"$f":"IF(ISNUMBER(A!$C19),(E19-A!$D19)^2,\"\")","v":""},{"$f":"IF(ISNUMBER(A!$C19),(F19-A!$D19)^2,\"\")","v":""}]
[16,{"$f":"IF(ISNUMBER(A!C20),A!G$2+A!G$3*A!C20+A!G$4*A!C20^2,\"\")","v":""},{"$f":"IF(ISNUMBER(A!C20),IF(A!C20<(A!H$3/(-2*A!H$4)),A!H$2+A!H$3*A!C20+A!H$4*A!C20^2,A!H$2+A!H$3*(A!H$3/(-2*A!H$4))+A!H$4*(A!H$3/(-2*A!H$4))^2),\"\")","v":""},{"$f":"IF(ISNUMBER(A!C20),A!I$2+A!I$3*EXP(A!I$4*A!C20),\"\")","v":""},{"$f":"IF(ISNUMBER(A!C20),IF((A!J$2+A!J$3*A!C20)<A!J$4,A!J$2+A!J$3*A!C20,A!J$4),\"\")","v":""},{"$f":"IF(ISNUMBER(A!C20),IF(A!C20<A!K$4,A!K$2+A!K$3*(3*A!C20/(2*A!K$4)-0.5*(A!C20/A!K$4)^3),A!K$3+A!K$2),\"\")","v":""},{"$f":"IF(ISNUMBER(A!$C20),(B20-A!$D20)^2,\"\")","v":""},{"$f":"IF(ISNUMBER(A!$C20),(C20-A!$D20)^2,\"\")","v":""},{"$f":"IF(ISNUMBER(A!$C20),(D20-A!$D20)^2,\"\")","v":""},{"$f":"IF(ISNUMBER(A!$C20),(E20-A!$D20)^2,\"\")","v":""},{"$f":"IF(ISNUMBER(A!$C20),(F20-A!$D20)^2,\"\")","v":""},null,null,"Nutrient content (lb/bu):",{"$f":"A!B30","v":0.65},"These two cells, carried from page A, set constraints on initial slope "]
[17,{"$f":"IF(ISNUMBER(A!C21),A!G$2+A!G$3*A!C21+A!G$4*A!C21^2,\"\")","v":""},{"$f":"IF(ISNUMBER(A!C21),IF(A!C21<(A!H$3/(-2*A!H$4)),A!H$2+A!H$3*A!C21+A!H$4*A!C21^2,A!H$2+A!H$3*(A!H$3/(-2*A!H$4))+A!H$4*(A!H$3/(-2*A!H$4))^2),\"\")","v":""},{"$f":"IF(ISNUMBER(A!C21),A!I$2+A!I$3*EXP(A!I$4*A!C21),\"\")","v":""},{"$f":"IF(ISNUMBER(A!C21),IF((A!J$2+A!J$3*A!C21)<A!J$4,A!J$2+A!J$3*A!C21,A!J$4),\"\")","v":""},{"$f":"IF(ISNUMBER(A!C21),IF(A!C21<A!K$4,A!K$2+A!K$3*(3*A!C21/(2*A!K$4)-0.5*(A!C21/A!K$4)^3),A!K$3+A!K$2),\"\")","v":""},{"$f":"IF(ISNUMBER(A!$C21),(B21-A!$D21)^2,\"\")","v":""},{"$f":"IF(ISNUMBER(A!$C21),(C21-A!$D21)^2,\"\")","v":""},{"$f":"IF(ISNUMBER(A!$C21),(D21-A!$D21)^2,\"\")","v":""},{"$f":"IF(ISNUMBER(A!$C21),(E21-A!$D21)^2,\"\")","v":""},{"$f":"IF(ISNUMBER(A!$C21),(F21-A!$D21)^2,\"\")","v":""},null,null,"NHI:",{"$f":"A!B31","v":0.66600000000000004},"assuming maximum efficiency (REN) is 100% + fitting tolerance."]
[18,{"$f":"IF(ISNUMBER(A!C22),A!G$2+A!G$3*A!C22+A!G$4*A!C22^2,\"\")","v":""},{"$f":"IF(ISNUMBER(A!C22),IF(A!C22<(A!H$3/(-2*A!H$4)),A!H$2+A!H$3*A!C22+A!H$4*A!C22^2,A!H$2+A!H$3*(A!H$3/(-2*A!H$4))+A!H$4*(A!H$3/(-2*A!H$4))^2),\"\")","v":""},{"$f":"IF(ISNUMBER(A!C22),A!I$2+A!I$3*EXP(A!I$4*A!C22),\"\")","v":""},{"$f":"IF(ISNUMBER(A!C22),IF((A!J$2+A!J$3*A!C22)<A!J$4,A!J$2+A!J$3*A!C22,A!J$4),\"\")","v":""},{"$f":"IF(ISNUMBER(A!C22),IF(A!C22<A!K$4,A!K$2+A!K$3*(3*A!C22/(2*A!K$4)-0.5*(A!C22/A!K$4)^3),A!K$3+A!K$2),\"\")","v":""},{"$f":"IF(ISNUMBER(A!$C22),(B22-A!$D22)^2,\"\")","v":""},{"$f":"IF(ISNUMBER(A!$C22),(C22-A!$D22)^2,\"\")","v":""},{"$f":"IF(ISNUMBER(A!$C22),(D22-A!$D22)^2,\"\")","v":""},{"$f":"IF(ISNUMBER(A!$C22),(E22-A!$D22)^2,\"\")","v":""},{"$f":"IF(ISNUMBER(A!$C22),(F22-A!$D22)^2,\"\")","v":""}]
[19,{"$f":"IF(ISNUMBER(A!C23),A!G$2+A!G$3*A!C23+A!G$4*A!C23^2,\"\")","v":""},{"$f":"IF(ISNUMBER(A!C23),IF(A!C23<(A!H$3/(-2*A!H$4)),A!H$2+A!H$3*A!C23+A!H$4*A!C23^2,A!H$2+A!H$3*(A!H$3/(-2*A!H$4))+A!H$4*(A!H$3/(-2*A!H$4))^2),\"\")","v":""},{"$f":"IF(ISNUMBER(A!C23),A!I$2+A!I$3*EXP(A!I$4*A!C23),\"\")","v":""},{"$f":"IF(ISNUMBER(A!C23),IF((A!J$2+A!J$3*A!C23)<A!J$4,A!J$2+A!J$3*A!C23,A!J$4),\"\")","v":""},{"$f":"IF(ISNUMBER(A!C23),IF(A!C23<A!K$4,A!K$2+A!K$3*(3*A!C23/(2*A!K$4)-0.5*(A!C23/A!K$4)^3),A!K$3+A!K$2),\"\")","v":""},{"$f":"IF(ISNUMBER(A!$C23),(B23-A!$D23)^2,\"\")","v":""},{"$f":"IF(ISNUMBER(A!$C23),(C23-A!$D23)^2,\"\")","v":""},{"$f":"IF(ISNUMBER(A!$C23),(D23-A!$D23)^2,\"\")","v":""},{"$f":"IF(ISNUMBER(A!$C23),(E23-A!$D23)^2,\"\")","v":""},{"$f":"IF(ISNUMBER(A!$C23),(F23-A!$D23)^2,\"\")","v":""}]
[20,{"$f":"IF(ISNUMBER(A!C24),A!G$2+A!G$3*A!C24+A!G$4*A!C24^2,\"\")","v":""},{"$f":"IF(ISNUMBER(A!C24),IF(A!C24<(A!H$3/(-2*A!H$4)),A!H$2+A!H$3*A!C24+A!H$4*A!C24^2,A!H$2+A!H$3*(A!H$3/(-2*A!H$4))+A!H$4*(A!H$3/(-2*A!H$4))^2),\"\")","v":""},{"$f":"IF(ISNUMBER(A!C24),A!I$2+A!I$3*EXP(A!I$4*A!C24),\"\")","v":""},{"$f":"IF(ISNUMBER(A!C24),IF((A!J$2+A!J$3*A!C24)<A!J$4,A!J$2+A!J$3*A!C24,A!J$4),\"\")","v":""},{"$f":"IF(ISNUMBER(A!C24),IF(A!C24<A!K$4,A!K$2+A!K$3*(3*A!C24/(2*A!K$4)-0.5*(A!C24/A!K$4)^3),A!K$3+A!K$2),\"\")","v":""},{"$f":"IF(ISNUMBER(A!$C24),(B24-A!$D24)^2,\"\")","v":""},{"$f":"IF(ISNUMBER(A!$C24),(C24-A!$D24)^2,\"\")","v":""},{"$f":"IF(ISNUMBER(A!$C24),(D24-A!$D24)^2,\"\")","v":""},{"$f":"IF(ISNUMBER(A!$C24),(E24-A!$D24)^2,\"\")","v":""},{"$f":"IF(ISNUMBER(A!$C24),(F24-A!$D24)^2,\"\")","v":""}]
[21,{"$f":"IF(ISNUMBER(A!C25),A!G$2+A!G$3*A!C25+A!G$4*A!C25^2,\"\")","v":""},{"$f":"IF(ISNUMBER(A!C25),IF(A!C25<(A!H$3/(-2*A!H$4)),A!H$2+A!H$3*A!C25+A!H$4*A!C25^2,A!H$2+A!H$3*(A!H$3/(-2*A!H$4))+A!H$4*(A!H$3/(-2*A!H$4))^2),\"\")","v":""},{"$f":"IF(ISNUMBER(A!C25),A!I$2+A!I$3*EXP(A!I$4*A!C25),\"\")","v":""},{"$f":"IF(ISNUMBER(A!C25),IF((A!J$2+A!J$3*A!C25)<A!J$4,A!J$2+A!J$3*A!C25,A!J$4),\"\")","v":""},{"$f":"IF(ISNUMBER(A!C25),IF(A!C25<A!K$4,A!K$2+A!K$3*(3*A!C25/(2*A!K$4)-0.5*(A!C25/A!K$4)^3),A!K$3+A!K$2),\"\")","v":""},{"$f":"IF(ISNUMBER(A!$C25),(B25-A!$D25)^2,\"\")","v":""},{"$f":"IF(ISNUMBER(A!$C25),(C25-A!$D25)^2,\"\")","v":""},{"$f":"IF(ISNUMBER(A!$C25),(D25-A!$D25)^2,\"\")","v":""},{"$f":"IF(ISNUMBER(A!$C25),(E25-A!$D25)^2,\"\")","v":""},{"$f":"IF(ISNUMBER(A!$C25),(F25-A!$D25)^2,\"\")","v":""},null,null,"Initialization"]
[22,{"$f":"IF(ISNUMBER(A!C26),A!G$2+A!G$3*A!C26+A!G$4*A!C26^2,\"\")","v":""},{"$f":"IF(ISNUMBER(A!C26),IF(A!C26<(A!H$3/(-2*A!H$4)),A!H$2+A!H$3*A!C26+A!H$4*A!C26^2,A!H$2+A!H$3*(A!H$3/(-2*A!H$4))+A!H$4*(A!H$3/(-2*A!H$4))^2),\"\")","v":""},{"$f":"IF(ISNUMBER(A!C26),A!I$2+A!I$3*EXP(A!I$4*A!C26),\"\")","v":""},{"$f":"IF(ISNUMBER(A!C26),IF((A!J$2+A!J$3*A!C26)<A!J$4,A!J$2+A!J$3*A!C26,A!J$4),\"\")","v":""},{"$f":"IF(ISNUMBER(A!C26),IF(A!C26<A!K$4,A!K$2+A!K$3*(3*A!C26/(2*A!K$4)-0.5*(A!C26/A!K$4)^3),A!K$3+A!K$2),\"\")","v":""},{"$f":"IF(ISNUMBER(A!$C26),(B26-A!$D26)^2,\"\")","v":""},{"$f":"IF(ISNUMBER(A!$C26),(C26-A!$D26)^2,\"\")","v":""},{"$f":"IF(ISNUMBER(A!$C26),(D26-A!$D26)^2,\"\")","v":""},{"$f":"IF(ISNUMBER(A!$C26),(E26-A!$D26)^2,\"\")","v":""},{"$f":"IF(ISNUMBER(A!$C26),(F26-A!$D26)^2,\"\")","v":""},null,null,"Mean"]
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[38,{"$f":"IF(ISNUMBER(A!C42),A!G$2+A!G$3*A!C42+A!G$4*A!C42^2,\"\")","v":""},{"$f":"IF(ISNUMBER(A!C42),IF(A!C42<(A!H$3/(-2*A!H$4)),A!H$2+A!H$3*A!C42+A!H$4*A!C42^2,A!H$2+A!H$3*(A!H$3/(-2*A!H$4))+A!H$4*(A!H$3/(-2*A!H$4))^2),\"\")","v":""},{"$f":"IF(ISNUMBER(A!C42),A!I$2+A!I$3*EXP(A!I$4*A!C42),\"\")","v":""},{"$f":"IF(ISNUMBER(A!C42),IF((A!J$2+A!J$3*A!C42)<A!J$4,A!J$2+A!J$3*A!C42,A!J$4),\"\")","v":""},{"$f":"IF(ISNUMBER(A!C42),IF(A!C42<A!K$4,A!K$2+A!K$3*(3*A!C42/(2*A!K$4)-0.5*(A!C42/A!K$4)^3),A!K$3+A!K$2),\"\")","v":""},{"$f":"IF(ISNUMBER(A!$C42),(B42-A!$D42)^2,\"\")","v":""},{"$f":"IF(ISNUMBER(A!$C42),(C42-A!$D42)^2,\"\")","v":""},{"$f":"IF(ISNUMBER(A!$C42),(D42-A!$D42)^2,\"\")","v":""},{"$f":"IF(ISNUMBER(A!$C42),(E42-A!$D42)^2,\"\")","v":""},{"$f":"IF(ISNUMBER(A!$C42),(F42-A!$D42)^2,\"\")","v":""}]
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[]
[null,"Nrate","Q yield","QP yield","M yield","LP yield","S yield","mean yield","increment","<PR?",null,null,"Maximum rate for curves"]
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[6,6,{"$f":"IF(M$53,A!G$2+A!G$3*B51+A!G$4*B51^2,\"NA\")","v":98.006190084818769},{"$f":"IF(M$53,IF(B51<(A!H$3/(-2*A!H$4)),A!H$2+A!H$3*B51+A!H$4*B51^2,A!H$2+A!H$3*(A!H$3/(-2*A!H$4))+A!H$3*A!H$3/(4*A!H$4)),\"NA\")","v":97.514095261050088},{"$f":"IF(M$53,A!I$2+A!I$3*EXP(A!I$4*B51),\"NA\")","v":98.022032077807765},{"$f":"IF(M$53,IF((A!J$2+A!J$3*B51)<A!J$4,A!J$2+A!J$3*B51,A!J$4),\"NA\")","v":98.66649373788853},{"$f":"IF(M$53,IF(B51<A!K$4,A!K$2+A!K$3*(3*B51/(2*A!K$4)-0.5*(B51/A!K$4)^3),A!K$3+A!K$2),\"NA\")","v":97.179489800792112},{"$f":"IF(M$53,(C51*B$45+'C'!D51*C$45+'C'!E51*D$45+'C'!F51*E$45+'C'!G51*F$45)/SUM(B$45:F$45),\"NA\")","v":97.732476086743759},1.076923802864826,{"$f":"IF(M$53,IF(AND(I51<A!B$29,I50>+A!B$29),((I50-A!B$29)/('C'!I50-'C'!I51))*4+'C'!B50,\"NO\"),\"NA\")","v":"NO"},null,null,{"$f":"ROUND(SUM(A!C5:D44),0)","v":1255},"sum of yields and rates entered (to detect new data entry)"]
[8,8,{"$f":"IF(M$53,A!G$2+A!G$3*B52+A!G$4*B52^2,\"NA\")","v":99.971760792893946},{"$f":"IF(M$53,IF(B52<(A!H$3/(-2*A!H$4)),A!H$2+A!H$3*B52+A!H$4*B52^2,A!H$2+A!H$3*(A!H$3/(-2*A!H$4))+A!H$3*A!H$3/(4*A!H$4)),\"NA\")","v":99.59044805257524},{"$f":"IF(M$53,A!I$2+A!I$3*EXP(A!I$4*B52),\"NA\")","v":100.55633997660679},{"$f":"IF(M$53,IF((A!J$2+A!J$3*B52)<A!J$4,A!J$2+A!J$3*B52,A!J$4),\"NA\")","v":100.16649869414294},{"$f":"IF(M$53,IF(B52<A!K$4,A!K$2+A!K$3*(3*B52/(2*A!K$4)-0.5*(B52/A!K$4)^3),A!K$3+A!K$2),\"NA\")","v":99.012534964278458},{"$f":"IF(M$53,(C52*B$45+'C'!D52*C$45+'C'!E52*D$45+'C'!F52*E$45+'C'!G52*F$45)/SUM(B$45:F$45),\"NA\")","v":99.886323692473411},1.0591090287887255,{"$f":"IF(M$53,IF(AND(I52<A!B$29,I51>+A!B$29),((I51-A!B$29)/('C'!I51-'C'!I52))*4+'C'!B51,\"NO\"),\"NA\")","v":"NO"},null,null,1255,"set by the FIT macro when finished"]
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{"sheet":"Summary","index":3,"n_rows":4,"n_cols":62,"rows_kept":4,"cut":false,"hidden":false,"merged":[[0,0,0,2],[0,4,1,5],[0,6,0,8]]}
["Summary - Multi-site-year Database",null,null,{"$f":"COUNTA(A5:A966)","v":0},null,null,"Current site-year is shown on row 4 - do not delete"]
[]
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