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{"sheet":"Notes","index":0,"n_rows":55,"n_cols":1,"rows_kept":55,"cut":false,"hidden":false,"merged":[]}
["SPMMS: Student Peak Model Migration Schedule fitting"]
[]
[]
["Author"]
["Tom Wilson"]
[]
["Affiliation"]
["Queensland Centre for Population Research"]
["The University of Queensland"]
["Brisbane, Qld 4072"]
["Australia"]
[]
["Date"]
["November 2009; minor revisions March 2011"]
[]
["Disclaimer"]
["Please be aware that there is:"]
["• no guarantee this workbook will provide optimum, or even adaquate, fits to any particular migration age pattern;"]
["• no guarantee this workbook is free of errors;"]
["• no support or manual."]
[]
["Details of the model"]
["can be found in the paper \"Model migration schedules incorporating student migration peaks\","]
["available at: http://www.demographic-research.org/Volumes/Vol23/8/default.htm "]
[]
["Type of migration data"]
["This workbook has been set up to use one year interval transition-type migration data. With this type of data migration "]
["is said to have occurred if an individual's address at one year prior to a census (or survey) is different from that at the "]
["time of the census. The Lexis diagram age-time plan is period-cohort. For details on different types of migration data see:"]
["Rees P and Willekens F (1986) \"Data and accounts\" in Rogers A and Willekens F (eds) Migration and Settlement: A"]
["Comparative Study. Dordrecht: D Reidel; pp 19-58."]
["The type of migration measure calculated is the migration probability conditional upon survival within the country. For"]
["a discussion of this measure see: Rees P, Bell M, Duke-Williams O and Blake M (2000) \"Problems and solutions in the"]
["measurement of migration intensities: Britain and Australia compared\" Population Studies 54.2: 207-222."]
[]
["Excel options"]
["For this workbook to operate "]
["(1) Microsoft Excel 2007 is required;"]
["(2) macros need to be enabled;"]
["(3) Excel Solver must be added. (Type \"Solver\" into the help box for advice on how to load it.)"]
[]
["User inputs"]
["Cells with a bright green background usually require the user to input data (though some are optional)."]
["Other user input is required via scrolling arrows or tick boxes. It is recommended that changes to cells without"]
["green backgrounds are avoided."]
[]
["The seven steps in fitting the model schedule"]
["This workbook fits the student peak model schedule in seven steps:"]
["Step 1: Enter migration data"]
["Step 2: Estimate the constant parameter"]
["Step 3: Estimate the childhood curve parameters"]
["Step 4: Estimate the labour force curve parameters"]
["Step 5: Estimate the retirement curve parameters"]
["Step 6: Estimate the elderly curve parameters"]
["Step 7: Estimate the student curve parameters"]

{"sheet":"Step 1","index":1,"n_rows":119,"n_cols":8,"rows_kept":119,"cut":false,"hidden":false,"merged":[]}
["Step 1: Enter migration data"]
[]
[]
["Place the migration probabilities into the green cells. Either type them in or copy them from elsewhere and"]
["paste them in using Paste > Paste Values. As is standard practice in fitting model migration schedules, the"]
["migration probabilities are scaled to sum over all ages shown to unity."]
[]
["Age 1 year before census","Age at census","Migration probability",null,"Mean age","Scaled migration probability",null,"Male interstate out-migration from Melbourne, 2005-06"]
[0,1,1.3817834090365766E-2,null,1,{"$f":"C9/SUM(C$9:C$98)","v":1.8470342646928654E-2}]
[{"$f":"A9+1","v":1},{"$f":"B9+1","v":2},1.2590435027717749E-2,null,{"$f":"E9+1","v":2},{"$f":"C10/SUM(C$9:C$98)","v":1.6829674427628314E-2}]
[{"$f":"A10+1","v":2},{"$f":"B10+1","v":3},1.1700872847369663E-2,null,{"$f":"E10+1","v":3},1.5640593840227576E-2]
[3,4,1.1328725038402458E-2,null,4,1.5143142683846953E-2]
[4,5,9.5929961814287049E-3,null,5,1.2822988416484606E-2]
[5,6,8.8421052631578942E-3,null,6,1.1819270144849053E-2]
[6,7,7.9465245641097554E-3,null,7,1.0622144584416364E-2]
[7,8,8.0678814856030047E-3,null,8,1.078436276621662E-2]
[8,9,7.9992644354542116E-3,null,9,1.0692642137688207E-2]
[9,10,6.9165859731636463E-3,null,10,9.2454224038154859E-3]
[10,11,6.2092238470191222E-3,null,11,8.2998892066511905E-3]
[11,12,5.6595365418894827E-3,null,12,7.5651204427469977E-3]
[12,13,5.53082422770808E-3,null,13,7.39307028421548E-3]
[13,14,5.1383755521500043E-3,null,14,6.8684828950858774E-3]
[14,15,4.3914123491838181E-3,null,15,5.8700148129533641E-3]
[15,16,4.5591359773371103E-3,null,16,6.0942115185815869E-3]
[16,17,4.3622953768663432E-3,null,17,5.8310940637224936E-3]
[17,18,8.0127475529251074E-3,null,18,1.0710665063568455E-2]
[18,19,1.3300230537329314E-2,null,19,1.777846033618961E-2]
[19,20,1.2611530542210021E-2,null,20,1.6857872868747042E-2]
[20,21,1.3796933065652899E-2,null,21,1.8442404180914813E-2]
[21,22,1.8148275270293463E-2,null,22,2.4258857104589023E-2]
[22,23,2.1030448993634956E-2,null,23,2.8111467860366477E-2]
[23,24,2.1028541819594973E-2,null,24,2.8108918534779311E-2]
[24,25,2.4548422198041351E-2,null,25,3.2813953798694867E-2]
[25,26,2.227908413111572E-2,null,26,2.9780522408238395E-2]
[26,27,2.3092099363285806E-2,null,27,3.0867282447268232E-2]
[27,28,2.0035858359480054E-2,null,28,2.6781995405701853E-2]
[28,29,1.9244507947847829E-2,null,29,2.5724194800987234E-2]
[29,30,2.0648967551622419E-2,null,30,2.7601540407095872E-2]
[30,31,1.8963229313813623E-2,null,31,2.5348208758898757E-2]
[31,32,1.8009168303863784E-2,null,32,2.4072912381434299E-2]
[32,33,1.6566385880465304E-2,null,33,2.2144340540807241E-2]
[33,34,1.6600670118793785E-2,null,34,2.2190168390901169E-2]
[34,35,1.7171868000597282E-2,null,35,2.2953690410858433E-2]
[35,36,1.3838587930311463E-2,null,36,1.8498084370597474E-2]
[36,37,1.5110316967060286E-2,null,37,2.0198008606855077E-2]
[37,38,1.1169618637306526E-2,null,38,1.4930464652952769E-2]
[38,39,1.2705901829318765E-2,null,39,1.6984019267490207E-2]
[39,40,1.0488350883011359E-2,null,40,1.4019811885388511E-2]
[40,41,1.0243119832160929E-2,null,41,1.3692010762053853E-2]
[41,42,9.1944670463791709E-3,null,42,1.2290273257870762E-2]
[42,43,8.2234228507865881E-3,null,43,1.0992275402301528E-2]
[43,44,7.876547178910143E-3,null,44,1.0528605591711702E-2]
[44,45,7.6406856403622254E-3,null,45,1.0213328725183882E-2]
[45,46,8.0867027928303459E-3,null,46,1.0809521267272477E-2]
[46,47,6.4022093899071056E-3,null,47,8.5578535938144358E-3]
[47,48,6.390328151986183E-3,null,48,8.5419719054084259E-3]
[48,49,6.8008948545861293E-3,null,49,9.0907777187397634E-3]
[49,50,6.4280368071148678E-3,null,50,8.5923771842985001E-3]
[50,51,4.9314296449370658E-3,null,51,6.5918576446591442E-3]
[51,52,5.8984108413766209E-3,null,52,7.8844244763761721E-3]
[52,53,5.4570918047037236E-3,null,53,7.2945119205694523E-3]
[53,54,5.0682456844640704E-3,null,54,6.7747400785582055E-3]
[54,55,6.1574474581446237E-3,null,55,8.2306795434522826E-3]
[55,56,6.6517694746141458E-3,null,56,8.8914413504332119E-3]
[56,57,5.6863902151172143E-3,null,57,7.601015832907362E-3]
[57,58,4.8859934853420191E-3,null,58,6.5311229860438571E-3]
[58,59,5.9556305523847334E-3,null,59,7.9609102455326392E-3]
[59,60,4.9336309174204162E-3,null,60,6.5948000925681906E-3]
[60,61,6.4010040790712271E-3,null,61,8.5562424509979026E-3]
[61,62,4.4772188569923623E-3,null,62,5.9847126440458068E-3]
[62,63,4.3568158322256686E-3,null,63,5.8237695390248806E-3]
[63,64,4.9399100493991007E-3,null,64,6.6031934281961273E-3]
[64,65,4.4931420463503076E-3,null,65,6.0059972217552928E-3]
[65,66,5.1115618661257602E-3,null,66,{"$f":"C74/SUM(C$9:C$98)","v":6.8326409559472208E-3}]
[{"$f":"A74+1","v":66},{"$f":"B74+1","v":67},4.9572649572649577E-3,null,{"$f":"E74+1","v":67},6.6263917885753245E-3]
[67,68,2.8210028210028208E-3,null,68,3.7708434166396328E-3]
[{"$f":"A76+1","v":68},69,2.4712479802300163E-3,null,69,3.3033250118557852E-3]
[{"$f":"A77+1","v":69},70,2.7550920003935847E-3,null,70,3.6827402137185874E-3]
[70,71,3.5673066834539923E-3,null,71,4.7684301562148628E-3]
[71,72,2.4431697471850437E-3,null,72,3.26579274870446E-3]
[72,73,2.8322193270646878E-3,null,73,3.7858365558616825E-3]
[73,74,2.3441162681669013E-3,null,74,3.1333876491880987E-3]
[74,75,2.5125628140703518E-3,null,75,3.3585506812654343E-3]
[75,76,2.4802173142789655E-3,null,76,3.3153143491220622E-3]
[76,77,1.5378700499807767E-3,null,77,2.0556757726161367E-3]
[77,78,3.6997885835095136E-3,null,78,4.9455191321382133E-3]
[78,79,1.7613386173491853E-3,null,79,2.3543869152684153E-3]
[79,80,2.3234200743494425E-3,null,80,3.1057229812816983E-3]
[80,81,1.5579020252726328E-3,null,81,2.082452577513032E-3]
[81,82,1.5343306482546988E-3,null,82,2.0509446431049372E-3]
[82,83,3.9946737683089215E-3,null,83,5.3396930937828612E-3]
[83,84,1.9281754639672211E-3,null,84,2.5773982572063494E-3]
[{"$f":"A92+1","v":84},85,2.0231213872832369E-3,null,85,2.7043127739900287E-3]
[{"$f":"A93+1","v":85},86,3.6789297658862876E-3,null,86,4.9176370844749399E-3]
[86,87,1.9175455417066154E-3,null,87,2.5631892064115875E-3]
[87,88,3.7014188772362738E-3,null,88,4.9476983509326696E-3]
[88,89,3.518648838845883E-3,null,89,4.703389061026189E-3]
[{"$f":"A97+1","v":89},90,0,null,90,0]
[90,91,3.2858707557502738E-3]
[91,92,4.2553191489361703E-3]
[92,93,7.1813285457809697E-3]
[93,94,0]
[94,95,0]
[95,96,0]
[96,97,0]
[97,98,3.4090909090909088E-2]
[98,99,4.3478260869565216E-2]
[99,100,0]
[100,101,0.125]
[101,102,0]
[102,103,0]
[103,104,0]
[104,105,0]
[105,106,0]
[106,107,0]
[107,108,0]
[108,109,0]
[{"$f":"A117+1","v":109},110,0]
[{"$f":"A118+1","v":110},111,0]

{"sheet":"Step 2","index":2,"n_rows":104,"n_cols":50,"rows_kept":104,"cut":false,"hidden":false,"merged":[]}
["Step 2: Estimate the constant parameter"]
[]
[]
["Set the initial constant parameter as the mean of the lowest ",null,null,null,null,null,null,5,"  non-zero migration probabilities.",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Age 1 year before census","Age at census","Mean age","Probability scaled to unity","Exclude <0",null,"Lowest value","2nd lowest","3rd lowest","4th lowest","5th lowest","6th lowest","7th lowest","8th lowest","9th lowest","10th lowest","11th lowest","12th lowest","13th lowest","14th lowest","15th lowest",null,"Constant"]
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["Initial constant parameter   =",null,null,{"$f":"AI104","v":2.2213298229828218E-3},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"AB5+1","v":1},{"$f":"AC5+1","v":2},{"$f":"'Step 1'!E10","v":2},{"$f":"'Step 1'!F10","v":1.6829674427628314E-2},{"$f":"IF(AE6>0,AE6,\" \")","v":1.6829674427628314E-2},null,{"$f":"AF6","v":1.6829674427628314E-2},{"$f":"IF(AH6=AH$97,\" \",AH6)","v":1.6829674427628314E-2},1.6829674427628314E-2,1.6829674427628314E-2,1.6829674427628314E-2,1.6829674427628314E-2,1.6829674427628314E-2,1.6829674427628314E-2,1.6829674427628314E-2,1.6829674427628314E-2,1.6829674427628314E-2,1.6829674427628314E-2,1.6829674427628314E-2,1.6829674427628314E-2,1.6829674427628314E-2,null,{"$f":"$AI$104","v":2.2213298229828218E-3}]
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[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,3,4,{"$f":"'Step 1'!E12","v":4},{"$f":"'Step 1'!F12","v":1.5143142683846953E-2},1.5143142683846953E-2,null,1.5143142683846953E-2,1.5143142683846953E-2,1.5143142683846953E-2,1.5143142683846953E-2,1.5143142683846953E-2,1.5143142683846953E-2,1.5143142683846953E-2,1.5143142683846953E-2,1.5143142683846953E-2,1.5143142683846953E-2,1.5143142683846953E-2,1.5143142683846953E-2,1.5143142683846953E-2,1.5143142683846953E-2,1.5143142683846953E-2,null,2.2213298229828218E-3]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,4,5,{"$f":"'Step 1'!E13","v":5},{"$f":"'Step 1'!F13","v":1.2822988416484606E-2},1.2822988416484606E-2,null,1.2822988416484606E-2,1.2822988416484606E-2,1.2822988416484606E-2,1.2822988416484606E-2,1.2822988416484606E-2,1.2822988416484606E-2,1.2822988416484606E-2,1.2822988416484606E-2,1.2822988416484606E-2,1.2822988416484606E-2,1.2822988416484606E-2,1.2822988416484606E-2,1.2822988416484606E-2,1.2822988416484606E-2,1.2822988416484606E-2,null,2.2213298229828218E-3]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,6,{"$f":"'Step 1'!E14","v":6},{"$f":"'Step 1'!F14","v":1.1819270144849053E-2},1.1819270144849053E-2,null,1.1819270144849053E-2,1.1819270144849053E-2,1.1819270144849053E-2,1.1819270144849053E-2,1.1819270144849053E-2,1.1819270144849053E-2,1.1819270144849053E-2,1.1819270144849053E-2,1.1819270144849053E-2,1.1819270144849053E-2,1.1819270144849053E-2,1.1819270144849053E-2,1.1819270144849053E-2,1.1819270144849053E-2,1.1819270144849053E-2,null,2.2213298229828218E-3]
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[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,89,90,{"$f":"'Step 1'!E98","v":90},{"$f":"'Step 1'!F98","v":0},{"$f":"IF(AE94>0,AE94,\" \")","v":" "},null," "," "," "," "," "," "," "," "," "," "," "," "," "," "," ",null,2.2213298229828218E-3]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Lowest values"]
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[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Means of lowest values"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Lowest value","2nd lowest","3rd lowest","4th lowest","5th lowest","6th lowest","7th lowest","8th lowest","9th lowest","10th lowest","11th lowest","12th lowest","13th lowest","14th lowest","15th lowest"]
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[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"User wants to use  mean of the lowest",null,null,null,{"$f":"H4","v":5},"  values."]
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{"sheet":"Step 3","index":3,"n_rows":94,"n_cols":45,"rows_kept":94,"cut":false,"hidden":false,"merged":[]}
["Step 3: Estimate the childhood curve parameters",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Childhood curve is fitted via linearisation. M1 = a1 exp(-alpha1 x) is linearised to Y (ln m1) = C (ln a1) + M (-alpha1) X (x)"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Fitted over ages",{"$f":"E4","v":1},"to ",{"$f":"H4","v":16}]
[]
["Fit the childhood curve over ages",null,null,null,1,"  to  ",null,16,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Age 1 year before census","Age at census","Mean age","Probability scaled to unity","Constant","m1               (m - c)",null,"Select if  ≥ lower age","Select if ≤ upper age","Select?","X (mean age)","m1               (m - c)","Y (ln m1)",null,"Childhood",null,"Total so far"]
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{"sheet":"Step 4","index":4,"n_rows":96,"n_cols":59,"rows_kept":96,"cut":false,"hidden":false,"merged":[]}
["Step 4: Estimate the labour force curve parameters"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Fitted over ages",{"$f":"H4","v":17},"to ",{"$f":"K4","v":45},"except:"]
[]
["(a) Fit the labour force curve over ages",null,null,null,null,null,null,17,"to",null,45,null,null,null,"Initial values","Fitted values",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Age 1 year before census","Age at census","Mean age","Probability scaled to unity","Constant","Childhood","m2",null,"Select if  ≥ lower age","Select if ≤ upper age",{"$f":"C6","v":18},19,0,0,0,0,0,0,0,0,"Select?",null,"Selected m2","Lab. force curve","Error","Error squared",null,"Total so far"]
["      but excluding those ages which the student curve will be fitted to:",null,null,null,null,null,null,null,null,null,null,null,null,"a2 (level)",0.06,4.7343868737441647E-2,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,1,{"$f":"'Step 1'!E9","v":1},{"$f":"'Step 1'!F9","v":1.8470342646928654E-2},{"$f":"'Step 2'!$AX$5","v":2.2213298229828218E-3},{"$f":"'Step 3'!AQ5","v":1.6398861333667955E-2},{"$f":"AI5-AJ5-AK5","v":-1.4984850972212319E-4},null,{"$f":"IF($AO$2<=AH5,1,0)","v":0},{"$f":"IF($AQ$2>=AH5,1,0)","v":1},{"$f":"IF($AH5=AP$4,0,1)","v":1},1,1,1,1,1,1,1,1,1,{"$f":"IF(SUM(AN5:AY5)=12,1,0)","v":0},null,{"$f":"IF(AZ5=1,AL5,\" \")","v":" "},{"$f":"$P$5*EXP(-$P$6*(AH5-$P$7)-EXP(-$P$8*(AH5-$P$7)))","v":1.0194239115668616E-302},{"$f":"IF(AZ5=1,BC5-AL5,\" \")","v":" "},{"$f":"IF(AZ5=1,BD5*BD5,\" \")","v":" "},null,{"$f":"AJ5+AK5+BC5","v":1.8620191156650777E-2}]
[null,null,18,19,null,null,null,null,null,null,null,null,null,"alpha2 (r slope)",0.08,7.3509344164101667E-2,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"AF5+1","v":1},{"$f":"AG5+1","v":2},{"$f":"'Step 1'!E10","v":2},{"$f":"'Step 1'!F10","v":1.6829674427628314E-2},{"$f":"'Step 2'!$AX$5","v":2.2213298229828218E-3},{"$f":"'Step 3'!AQ6","v":1.4858441333496925E-2},{"$f":"AI6-AJ6-AK6","v":-2.5009672885143233E-4},null,0,1,1,1,1,1,1,1,1,1,1,1,{"$f":"IF(SUM(AN6:AY6)=12,1,0)","v":0},null,{"$f":"IF(AZ6=1,AL6,\" \")","v":" "},{"$f":"$P$5*EXP(-$P$6*(AH6-$P$7)-EXP(-$P$8*(AH6-$P$7)))","v":4.1521215034873702E-220},{"$f":"IF(AZ6=1,BC6-AL6,\" \")","v":" "},{"$f":"IF(AZ6=1,BD6*BD6,\" \")","v":" "},null,{"$f":"AJ6+AK6+BC6","v":1.7079771156479746E-2}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,"u2 (age)",21,21.407785035270091,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"AF6+1","v":2},3,{"$f":"'Step 1'!E11","v":3},{"$f":"'Step 1'!F11","v":1.5640593840227576E-2},{"$f":"'Step 2'!$AX$5","v":2.2213298229828218E-3},{"$f":"'Step 3'!AQ7","v":1.3462720024817069E-2},-4.3456007572315047E-5,null,0,1,1,1,1,1,1,1,1,1,1,1,0,null," ",3.6493645839446607E-160," "," ",null,1.5684049847799891E-2]
["(b) ",null,"to set the initial labour force curve parameters.",null,null,null,null,null,null,null,null,null,null,"lambda2 (l slope)",0.3,0.32057374271227662,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,3,4,{"$f":"'Step 1'!E12","v":4},{"$f":"'Step 1'!F12","v":1.5143142683846953E-2},{"$f":"'Step 2'!$AX$5","v":2.2213298229828218E-3},{"$f":"'Step 3'!AQ8","v":1.2198105198155037E-2},7.2370766270909472E-4,null,0,1,1,1,1,1,1,1,1,1,1,1,0,null," ",1.1395517059942991E-116," "," ",null,1.4419435021137858E-2]
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["(c) Then from the Data tab click on Solver and ensure that the \"Set target cell\" is O12, \"Equal to\" is Min, and \"By changing cells\" is P5:P8.",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,6,{"$f":"'Step 1'!E14","v":6},{"$f":"'Step 1'!F14","v":1.1819270144849053E-2},{"$f":"'Step 2'!$AX$5","v":2.2213298229828218E-3},{"$f":"'Step 3'!AQ10","v":1.0014090111175773E-2},-4.1614978930954241E-4,null,0,1,1,1,1,1,1,1,1,1,1,1,0,null," ",3.2083454176816852E-62," "," ",null,1.2235419934158595E-2]
["       Click on the Solve button. Select \"OK\" when Solver has finished.",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,7,{"$f":"'Step 1'!E15","v":7},{"$f":"'Step 1'!F15","v":1.0622144584416364E-2},{"$f":"'Step 2'!$AX$5","v":2.2213298229828218E-3},{"$f":"'Step 3'!AQ11","v":9.0734208551281198E-3},-6.7260609369457734E-4,null,0,1,1,1,1,1,1,1,1,1,1,1,0,null," ",1.2931829172199602E-45," "," ",null,1.1294750678110942E-2]
[null,null,null,null,null,null,null,null,null,null,null,null,null,"Sum of squared error",{"$f":"BE96","v":5.1144418652466573E-5},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,7,8,{"$f":"'Step 1'!E16","v":8},{"$f":"'Step 1'!F16","v":1.078436276621662E-2},{"$f":"'Step 2'!$AX$5","v":2.2213298229828218E-3},{"$f":"'Step 3'!AQ12","v":8.221112961865262E-3},3.4191998136853634E-4,null,0,1,1,1,1,1,1,1,1,1,1,1,0,null," ",1.4255016116166017E-33," "," ",null,1.0442442784848084E-2]
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[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"AF93+1","v":89},90,{"$f":"'Step 1'!E98","v":90},{"$f":"'Step 1'!F98","v":0},{"$f":"'Step 2'!$AX$5","v":2.2213298229828218E-3},{"$f":"'Step 3'!AQ94","v":2.5235653764078591E-6},-2.2238533883592298E-3,null,1,0,1,1,1,1,1,1,1,1,1,1,0,null," ",3.0582830967834581E-4," "," ",null,2.5296816980375754E-3]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Sum of squared error",{"$f":"SUM(BE5:BE89)","v":5.1144418652466573E-5}]

{"sheet":"Step 5","index":5,"n_rows":96,"n_cols":50,"rows_kept":96,"cut":false,"hidden":false,"merged":[]}
["Step 5: Estimate the retirement curve parameters"]
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[]
["(a) Does the migration age profile need a retirement curve? Assess this by seeing whether the migration probabilities around",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Age 1 year before census","Age at census","Mean age","Probability scaled to unity","Constant","Childhood","Labour force","m3",null,"Select if  ≥ lower age","Select if ≤ upper age","Select?",null,"Selected m3","Retirement curve","Error","Error squared",null,"Total so far"]
["      the retirement ages lie above the model migration schedule fitted up to now.",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,1,1,{"$f":"'Step 1'!F9","v":1.8470342646928654E-2},{"$f":"'Step 2'!AX5","v":2.2213298229828218E-3},{"$f":"'Step 3'!AQ5","v":1.6398861333667955E-2},{"$f":"'Step 4'!BC5","v":1.0194239115668616E-302},{"$f":"AI5-AJ5-AK5-AL5","v":-1.4984850972212319E-4},null,{"$f":"IF($AP$2<=AH5,1,0)","v":0},{"$f":"IF($AR$2>=AH5,1,0)","v":1},{"$f":"IF(AO5+AP5=2,1,0)","v":0},null,{"$f":"IF(AQ5=1,AM5,\" \")","v":" "},{"$f":"IF($AT$2=TRUE,$L$35*EXP(-((AH5-$L$37)/$L$36)*((AH5-$L$37)/$L$36)),0)","v":9.6662267985595115E-33},{"$f":"IF(AQ5=1,AT5-AM5,\" \")","v":" "},{"$f":"IF(AQ5=1,AU5*AU5,\" \")","v":" "},null,{"$f":"AJ5+AK5+AL5+AT5","v":1.8620191156650777E-2}]
["      If they do, a retirement curve is probably needed. If not, skip to the next step.",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"AF5+1","v":1},{"$f":"AG5+1","v":2},2,{"$f":"'Step 1'!F10","v":1.6829674427628314E-2},{"$f":"'Step 2'!AX6","v":2.2213298229828218E-3},{"$f":"'Step 3'!AQ6","v":1.4858441333496925E-2},{"$f":"'Step 4'!BC6","v":4.1521215034873702E-220},{"$f":"AI6-AJ6-AK6-AL6","v":-2.5009672885143233E-4},null,{"$f":"IF($AP$2<=AH6,1,0)","v":0},1,{"$f":"IF(AO6+AP6=2,1,0)","v":0},null,{"$f":"IF(AQ6=1,AM6,\" \")","v":" "},{"$f":"IF($AT$2=TRUE,$L$35*EXP(-((AH6-$L$37)/$L$36)*((AH6-$L$37)/$L$36)),0)","v":9.0119823399571535E-32},{"$f":"IF(AQ6=1,AT6-AM6,\" \")","v":" "},{"$f":"IF(AQ6=1,AU6*AU6,\" \")","v":" "},null,{"$f":"AJ6+AK6+AL6+AT6","v":1.7079771156479746E-2}]
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[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,17,18,18,{"$f":"'Step 1'!F26","v":1.0710665063568455E-2},{"$f":"'Step 2'!AX22","v":2.2213298229828218E-3},{"$f":"'Step 3'!AQ22","v":3.065675750719856E-3},{"$f":"'Step 4'!BC22","v":3.084476998728547E-3},{"$f":"AI22-AJ22-AK22-AL22","v":2.3391824911372303E-3},null,0,1,0,null," ",1.8058377692534555E-18," "," ",null,8.371482572431227E-3]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,18,19,19,{"$f":"'Step 1'!F27","v":1.777846033618961E-2},{"$f":"'Step 2'!AX23","v":2.2213298229828218E-3},{"$f":"'Step 3'!AQ23","v":2.7777028150165256E-3},{"$f":"'Step 4'!BC23","v":6.4923039652534159E-3},6.2871237329368461E-3,null,0,1,0,null," ",8.9093840649412113E-18," "," ",null,1.1491336603252772E-2]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,19,20,20,{"$f":"'Step 1'!F28","v":1.6857872868747042E-2},{"$f":"'Step 2'!AX24","v":2.2213298229828218E-3},{"$f":"'Step 3'!AQ24","v":2.5167804934161779E-3},{"$f":"'Step 4'!BC24","v":1.091973890540082E-2},1.2000236469472229E-3,null,0,1,0,null," ",4.2340709909426778E-17," "," ",null,1.5657849221799861E-2]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"AF24+1","v":20},21,21,{"$f":"'Step 1'!F29","v":1.8442404180914813E-2},{"$f":"'Step 2'!AX25","v":2.2213298229828218E-3},{"$f":"'Step 3'!AQ25","v":2.2803677980945181E-3},{"$f":"'Step 4'!BC25","v":1.5607612889248251E-2},-1.6669063294107774E-3,null,0,1,0,null," ",1.938251352264691E-16," "," ",null,2.0109310510325787E-2]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,21,22,22,{"$f":"'Step 1'!F30","v":2.4258857104589023E-2},{"$f":"'Step 2'!AX26","v":2.2213298229828218E-3},{"$f":"'Step 3'!AQ26","v":2.0661624278278091E-3},{"$f":"'Step 4'!BC26","v":1.982253888343468E-2},1.4882597034371337E-4,null,0,1,0,null," ",8.5468003992955374E-16," "," ",null,2.4110031134246167E-2]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,22,23,23,{"$f":"'Step 1'!F31","v":2.8111467860366477E-2},{"$f":"'Step 2'!AX27","v":2.2213298229828218E-3},{"$f":"'Step 3'!AQ27","v":1.8720783470695028E-3},{"$f":"'Step 4'!BC27","v":2.3107392974320063E-2},9.1066671599408788E-4,null,0,1,0,null," ",3.6302667118074558E-15," "," ",null,2.7200801144376015E-2]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,23,24,24,{"$f":"'Step 1'!F32","v":2.8108918534779311E-2},{"$f":"'Step 2'!AX28","v":2.2213298229828218E-3},{"$f":"'Step 3'!AQ28","v":1.6962254711266845E-3},{"$f":"'Step 4'!BC28","v":2.5311785741491118E-2},-1.1204225008213144E-3,null,0,1,0,null," ",1.4853028378591705E-14," "," ",null,2.9229341035615478E-2]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,24,25,25,{"$f":"'Step 1'!F33","v":3.2813953798694867E-2},{"$f":"'Step 2'!AX29","v":2.2213298229828218E-3},{"$f":"'Step 3'!AQ29","v":1.5368912596007533E-3},{"$f":"'Step 4'!BC29","v":2.6502414783675217E-2},2.5533179324360757E-3,null,0,1,0,null," ",5.8537341387880725E-14," "," ",null,3.0260635866317328E-2]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,25,26,26,{"$f":"'Step 1'!F34","v":2.9780522408238395E-2},{"$f":"'Step 2'!AX30","v":2.2213298229828218E-3},{"$f":"'Step 3'!AQ30","v":1.3925240388403405E-3},{"$f":"'Step 4'!BC30","v":2.6854501322428843E-2},-6.8783277601361034E-4,null,0,1,0,null," ",2.2222477900252758E-13," "," ",null,3.046835518447423E-2]
["(b) If a retirement curve is needed select the age range over which it should be fitted. ",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,26,27,27,{"$f":"'Step 1'!F35","v":3.0867282447268232E-2},{"$f":"'Step 2'!AX31","v":2.2213298229828218E-3},{"$f":"'Step 3'!AQ31","v":1.2617178909924635E-3},{"$f":"'Step 4'!BC31","v":2.6571790908228709E-2},8.1244382506423865E-4,null,0,1,0,null," ",8.1263117217891194E-13," "," ",null,3.0054838623016625E-2]
["       Fit over ages ",null,null,50,"to ",null,75,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,27,28,28,{"$f":"'Step 1'!F36","v":2.6781995405701853E-2},{"$f":"'Step 2'!AX32","v":2.2213298229828218E-3},{"$f":"'Step 3'!AQ32","v":1.1431989624941716E-3},{"$f":"'Step 4'!BC32","v":2.5842186682507561E-2},-2.4247200622827016E-3,null,0,1,0,null," ",2.862437270930471E-12," "," ",null,2.9206715470846991E-2]
[null,null,null,null,null,null,null,null,null,null,"Starting","Parameter",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,28,29,29,{"$f":"'Step 1'!F37","v":2.5724194800987234E-2},{"$f":"'Step 2'!AX33","v":2.2213298229828218E-3},{"$f":"'Step 3'!AQ33","v":1.0358130586701467E-3},{"$f":"'Step 4'!BC33","v":2.4819790349978364E-2},-2.3527384306440968E-3,null,0,1,0,null," ",9.7122529367666398E-12," "," ",null,2.8076933241343582E-2]
[null,null,null,null,null,null,null,null,null,null,"values","estimates",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,29,30,30,{"$f":"'Step 1'!F38","v":2.7601540407095872E-2},{"$f":"'Step 2'!AX34","v":2.2213298229828218E-3},{"$f":"'Step 3'!AQ34","v":9.385144036264594E-4},{"$f":"'Step 4'!BC34","v":2.3622141954471761E-2},8.195542260148285E-4,null,0,1,0,null," ",3.1742819248294821E-11," "," ",null,2.6781986212823863E-2]
["(c) ",null,"to set the initial retirement curve parameters",null,null,null,null,null,null,"a3 (level)",5.0000000000000001E-3,2.4080736029771692E-3,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,30,31,31,{"$f":"'Step 1'!F39","v":2.5348208758898757E-2},{"$f":"'Step 2'!AX35","v":2.2213298229828218E-3},{"$f":"'Step 3'!AQ35","v":8.5035545597887761E-4},{"$f":"'Step 4'!BC35","v":2.2334461168383113E-2},-5.7937688446054597E-5,null,0,1,0,null," ",9.9933825752632642E-11," "," ",null,2.5406146547278637E-2]
["      Set your own starting value for the modal age of the",null,null,null,null,null,null,null,null,"rho 3 (slope)",5,7.3091519822800839,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,31,32,32,{"$f":"'Step 1'!F40","v":2.4072912381434299E-2},{"$f":"'Step 2'!AX36","v":2.2213298229828218E-3},{"$f":"'Step 3'!AQ36","v":7.7047768123636581E-4},{"$f":"'Step 4'!BC36","v":2.101611748193102E-2},6.4987395284092642E-5,null,0,1,0,null," ",3.030547093309834E-10," "," ",null,2.4007925289204916E-2]
["      retirement curve if you like ->",null,null,null,null,null,null,null,null,"mu3 (age)",60,61.134264748369155,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,32,33,33,{"$f":"'Step 1'!F41","v":2.2144340540807241E-2},{"$f":"'Step 2'!AX37","v":2.2213298229828218E-3},{"$f":"'Step 3'!AQ37","v":6.981031909767773E-4},{"$f":"'Step 4'!BC37","v":1.9707001764044219E-2},-4.8209423719657724E-4,null,0,{"$f":"IF($AR$2>=AH37,1,0)","v":1},0,null," ",8.8526045852644069E-10," "," ",null,2.2626435663264277E-2]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,33,34,34,{"$f":"'Step 1'!F42","v":2.2190168390901169E-2},{"$f":"'Step 2'!AX38","v":2.2213298229828218E-3},{"$f":"'Step 3'!AQ38","v":6.3252716739299142E-4},{"$f":"'Step 4'!BC38","v":1.8432894454585062E-2},9.0341694594029201E-4,null,0,1,0,null," ",2.4909361824301086E-9," "," ",null,2.128675393589706E-2]
["(d) Then from the Data tab click on Solver and ensure that the \"Set target cell\" is L41, \"Equal to\" is Min, and \"By changing cells\" is L35:L37.",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,34,35,35,{"$f":"'Step 1'!F43","v":2.2953690410858433E-2},{"$f":"'Step 2'!AX39","v":2.2213298229828218E-3},{"$f":"'Step 3'!AQ39","v":5.7311099943605718E-4},{"$f":"'Step 4'!BC39","v":1.720963965631769E-2},2.9496099321218647E-3,null,0,1,0,null," ",6.7514280179238751E-9," "," ",null,2.0004087230164586E-2]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,35,36,36,{"$f":"'Step 1'!F44","v":1.8498084370597474E-2},{"$f":"'Step 2'!AX40","v":2.2213298229828218E-3},{"$f":"'Step 3'!AQ40","v":5.1927606371178243E-4},{"$f":"'Step 4'!BC40","v":1.6046238710938195E-2},-2.8876022703532359E-4,null,0,1,0,null," ",1.7626666514160225E-8," "," ",null,1.8786862224299313E-2]
[null,null,null,null,null,null,null,null,null,null,"Sum of squared error",{"$f":"AV96","v":1.8283530568611456E-5},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,36,37,37,{"$f":"'Step 1'!F45","v":2.0198008606855077E-2},{"$f":"'Step 2'!AX41","v":2.2213298229828218E-3},{"$f":"'Step 3'!AQ41","v":4.7049808956613497E-4},{"$f":"'Step 4'!BC41","v":1.494707247905507E-2},2.5591082152510488E-3,null,0,1,0,null," ",4.432882706354207E-8," "," ",null,1.763894472043109E-2]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,37,38,38,{"$f":"'Step 1'!F46","v":1.4930464652952769E-2},{"$f":"'Step 2'!AX42","v":2.2213298229828218E-3},{"$f":"'Step 3'!AQ42","v":4.2630205348392566E-4},{"$f":"'Step 4'!BC42","v":1.3913463566550054E-2},-1.6306307900640325E-3,null,0,1,0,null," ",1.0738504361404482E-7," "," ",null,1.6561202828060416E-2]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,38,39,39,{"$f":"'Step 1'!F47","v":1.6984019267490207E-2},{"$f":"'Step 2'!AX43","v":2.2213298229828218E-3},{"$f":"'Step 3'!AQ43","v":3.8625755307996159E-4},{"$f":"'Step 4'!BC43","v":1.2944757198493495E-2},1.4316746929339281E-3,null,0,1,0,null," ",2.5057795547137368E-7," "," ",null,1.555259515251175E-2]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,39,40,40,{"$f":"'Step 1'!F48","v":1.4019811885388511E-2},{"$f":"'Step 2'!AX44","v":2.2213298229828218E-3},{"$f":"'Step 3'!AQ44","v":3.4997461563235219E-4},{"$f":"'Step 4'!BC44","v":1.2039059670811536E-2},-5.9055222403819885E-4,null,0,1,0,null," ",5.6322695436576133E-7," "," ",null,1.4610927336381075E-2]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,40,41,41,{"$f":"'Step 1'!F49","v":1.3692010762053853E-2},{"$f":"'Step 2'!AX45","v":2.2213298229828218E-3},{"$f":"'Step 3'!AQ45","v":3.1709990033944232E-4},{"$f":"'Step 4'!BC45","v":1.1193737315797455E-2},-4.0156277065866303E-5,null,0,1,0,null," ",1.2194542333267544E-6," "," ",null,1.3733386493353044E-2]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,41,42,42,{"$f":"'Step 1'!F50","v":1.2290273257870762E-2},{"$f":"'Step 2'!AX46","v":2.2213298229828218E-3},{"$f":"'Step 3'!AQ46","v":2.8731325731610856E-4},{"$f":"'Step 4'!BC46","v":1.040574999289263E-2},-6.2411981532079809E-4,null,0,1,0,null," ",2.5432501948123955E-6," "," ",null,1.2916936323386372E-2]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,42,43,43,{"$f":"'Step 1'!F51","v":1.0992275402301528E-2},{"$f":"'Step 2'!AX47","v":2.2213298229828218E-3},{"$f":"'Step 3'!AQ47","v":2.6032460981926272E-4},{"$f":"'Step 4'!BC47","v":9.6718712768376208E-3},-1.1612503073381766E-3,null,0,1,0,null," ",5.1092149339678732E-6," "," ",null,1.2158634924573674E-2]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,43,44,44,{"$f":"'Step 1'!F52","v":1.0528605591711702E-2},{"$f":"'Step 2'!AX48","v":2.2213298229828218E-3},{"$f":"'Step 3'!AQ48","v":2.3587112934016322E-4},{"$f":"'Step 4'!BC48","v":8.9888316261558781E-3},-9.1742698676716174E-4,null,0,1,0,null," ",9.8869141965176527E-6," "," ",null,1.1455919492675382E-2]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,44,45,45,{"$f":"'Step 1'!F53","v":1.0213328725183882E-2},{"$f":"'Step 2'!AX49","v":2.2213298229828218E-3},{"$f":"'Step 3'!AQ49","v":2.1371467605321742E-4},{"$f":"'Step 4'!BC49","v":8.3534095254178056E-3},-5.7512529926996223E-4,null,0,1,0,null," ",1.8429300992541319E-5," "," ",null,1.0806883325446387E-2]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,45,46,46,{"$f":"'Step 1'!F54","v":1.0809521267272477E-2},{"$f":"'Step 2'!AX50","v":2.2213298229828218E-3},{"$f":"'Step 3'!AQ50","v":1.9363947969512908E-4},{"$f":"'Step 4'!BC50","v":7.7624876990289565E-3},6.3206426556556942E-4,null,0,1,0,null," ",3.3090129501665424E-5," "," ",null,1.0210547131208572E-2]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,46,47,47,{"$f":"'Step 1'!F55","v":8.5578535938144358E-3},{"$f":"'Step 2'!AX51","v":2.2213298229828218E-3},{"$f":"'Step 3'!AQ51","v":1.7545003828966469E-4},{"$f":"'Step 4'!BC51","v":7.2130860317358063E-3},-1.0520122991938569E-3,null,0,1,0,null," ",5.7230768311146169E-5," "," ",null,9.6670966613194385E-3]
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[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"AF93+1","v":89},90,90,{"$f":"'Step 1'!F98","v":0},{"$f":"'Step 2'!AX94","v":2.2213298229828218E-3},{"$f":"'Step 3'!AQ94","v":2.5235653764078591E-6},{"$f":"'Step 4'!BC94","v":3.0582830967834581E-4},-2.5296816980375754E-3,null,1,0,0,null," ",4.0563153437446931E-10," "," ",null,2.5296821036691099E-3]
[]
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{"sheet":"Step 6","index":6,"n_rows":96,"n_cols":53,"rows_kept":96,"cut":false,"hidden":false,"merged":[]}
["Step 6: Estimate the elderly curve parameters",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Childhood curve is fitted via linearisation. M4 = a4 exp(alpha4 x) is linearised to Y (ln m4) = C (ln a4) + M (alpha4) X (x)"]
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[]
["(a) Does the migration age profile need an elderly curve? Assess this by seeing whether the migration probabilities ",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Age 1 year before census","Age at census","Mean age","Probability scaled to unity","Constant","Childhood","Labour force","Retirement","m4",null,"Select if  ≥ lower age","Select if ≤ upper age",null,null,"Select?","Selected m4","Elderly curve","Error","Error squared",null,"Total so far"]
["      at the very oldest ages lie above the model migration schedule fitted up to now.",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,1,1,{"$f":"'Step 1'!F9","v":1.8470342646928654E-2},{"$f":"'Step 2'!AX5","v":2.2213298229828218E-3},{"$f":"'Step 3'!AQ5","v":1.6398861333667955E-2},{"$f":"'Step 4'!BC5","v":1.0194239115668616E-302},{"$f":"'Step 5'!AT5","v":9.6662267985595115E-33},{"$f":"AJ5-AK5-AL5-AM5-AN5","v":-1.4984850972212319E-4},null,{"$f":"IF($AR$2<=AI5,1,0)","v":0},{"$f":"IF($AT$2>=AI5,1,0)","v":1},null,null,{"$f":"IF(AQ5+AR5=2,1,0)","v":0},{"$f":"IF(AU5=1,AO5,\"\")","v":""},{"$f":"IF($AV$2=TRUE,$L$38*EXP($L$39*AI5),0)","v":0},{"$f":"IF(AU5=1,AW5-AV5,\"\")","v":""},{"$f":"IF(AU5=1,AX5*AX5,\"\")","v":""},null,{"$f":"AK5+AL5+AM5+AN5+AW5","v":1.8620191156650777E-2}]
["      If they do, a retirement curve is probably needed. If not, skip to the next step.",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,1,2,2,{"$f":"'Step 1'!F10","v":1.6829674427628314E-2},{"$f":"'Step 2'!AX6","v":2.2213298229828218E-3},{"$f":"'Step 3'!AQ6","v":1.4858441333496925E-2},{"$f":"'Step 4'!BC6","v":4.1521215034873702E-220},{"$f":"'Step 5'!AT6","v":9.0119823399571535E-32},{"$f":"AJ6-AK6-AL6-AM6-AN6","v":-2.5009672885143233E-4},null,{"$f":"IF($AR$2<=AI6,1,0)","v":0},1,null,null,{"$f":"IF(AQ6+AR6=2,1,0)","v":0},"",0,{"$f":"IF(AU6=1,AW6-AV6,\"\")","v":""},{"$f":"IF(AU6=1,AX6*AX6,\"\")","v":""},null,1.7079771156479746E-2]
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["(b) If an elderly curve is needed select the age range over which it should be fitted. ",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,27,28,28,{"$f":"'Step 1'!F36","v":2.6781995405701853E-2},{"$f":"'Step 2'!AX32","v":2.2213298229828218E-3},{"$f":"'Step 3'!AQ32","v":1.1431989624941716E-3},{"$f":"'Step 4'!BC32","v":2.5842186682507561E-2},{"$f":"'Step 5'!AT32","v":2.862437270930471E-12},-2.4247200651451388E-3,null,0,1,null,null,0,"",0,"","",null,2.9206715470846991E-2]
["      Fit over ages",null,null,70,"to",null,84,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,28,29,29,{"$f":"'Step 1'!F37","v":2.5724194800987234E-2},{"$f":"'Step 2'!AX33","v":2.2213298229828218E-3},{"$f":"'Step 3'!AQ33","v":1.0358130586701467E-3},{"$f":"'Step 4'!BC33","v":2.4819790349978364E-2},{"$f":"'Step 5'!AT33","v":9.7122529367666398E-12},-2.35273844035635E-3,null,0,1,null,null,0,"",0,"","",null,2.8076933241343582E-2]
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["(b) ",null,"to set the initial elderly curve parameters.",null,null,null,null,null,null,null,"Starting","Estimated",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,31,32,32,{"$f":"'Step 1'!F40","v":2.4072912381434299E-2},{"$f":"'Step 2'!AX36","v":2.2213298229828218E-3},{"$f":"'Step 3'!AQ36","v":7.7047768123636581E-4},{"$f":"'Step 4'!BC36","v":2.101611748193102E-2},{"$f":"'Step 5'!AT36","v":3.030547093309834E-10},6.4987092229383317E-5,null,0,1,null,null,0,"",0,"","",null,2.4007925289204916E-2]
[null,null,null,null,null,null,null,null,null,null,"values","values",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,32,33,33,{"$f":"'Step 1'!F41","v":2.2144340540807241E-2},{"$f":"'Step 2'!AX37","v":2.2213298229828218E-3},{"$f":"'Step 3'!AQ37","v":6.981031909767773E-4},{"$f":"'Step 4'!BC37","v":1.9707001764044219E-2},{"$f":"'Step 5'!AT37","v":8.8526045852644069E-10},-4.8209512245703576E-4,null,0,{"$f":"IF($AT$2>=AI37,1,0)","v":1},null,null,0,{"$f":"IF(AU37=1,AO37,\"\")","v":""},{"$f":"IF($AV$2=TRUE,$L$38*EXP($L$39*AI37),0)","v":0},"","",null,{"$f":"AK37+AL37+AM37+AN37+AW37","v":2.2626435663264277E-2}]
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[null,null,null,null,null,null,null,null,null,"alpha4",0.1,0.10000002485915446,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,34,35,35,{"$f":"'Step 1'!F43","v":2.2953690410858433E-2},{"$f":"'Step 2'!AX39","v":2.2213298229828218E-3},{"$f":"'Step 3'!AQ39","v":5.7311099943605718E-4},{"$f":"'Step 4'!BC39","v":1.720963965631769E-2},{"$f":"'Step 5'!AT39","v":6.7514280179238751E-9},2.9496031806938469E-3,null,0,1,null,null,0,"",0,"","",null,2.0004087230164586E-2]
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["(c) Then from the Data tab click on Solver and ensure that the \"Set target cell\" is L42, \"Equal to\" is Min, and \"By changing cells\" is L38:L39.",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,36,37,37,{"$f":"'Step 1'!F45","v":2.0198008606855077E-2},{"$f":"'Step 2'!AX41","v":2.2213298229828218E-3},{"$f":"'Step 3'!AQ41","v":4.7049808956613497E-4},{"$f":"'Step 4'!BC41","v":1.494707247905507E-2},{"$f":"'Step 5'!AT41","v":4.432882706354207E-8},2.5590638864239853E-3,null,0,1,null,null,0,"",0,"","",null,1.763894472043109E-2]
["       Click on the Solve button. Select \"OK\" when Solver has finished.",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,37,38,38,{"$f":"'Step 1'!F46","v":1.4930464652952769E-2},{"$f":"'Step 2'!AX42","v":2.2213298229828218E-3},{"$f":"'Step 3'!AQ42","v":4.2630205348392566E-4},{"$f":"'Step 4'!BC42","v":1.3913463566550054E-2},{"$f":"'Step 5'!AT42","v":1.0738504361404482E-7},-1.6307381751076465E-3,null,0,1,null,null,0,"",0,"","",null,1.6561202828060416E-2]
[null,null,null,null,null,null,null,null,null,null,"Sum of squared error",{"$f":"AY96","v":1.4433383105622325E-5},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,38,39,39,{"$f":"'Step 1'!F47","v":1.6984019267490207E-2},{"$f":"'Step 2'!AX43","v":2.2213298229828218E-3},{"$f":"'Step 3'!AQ43","v":3.8625755307996159E-4},{"$f":"'Step 4'!BC43","v":1.2944757198493495E-2},{"$f":"'Step 5'!AT43","v":2.5057795547137368E-7},1.4314241149784568E-3,null,0,1,null,null,0,"",0,"","",null,1.555259515251175E-2]
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[]
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{"sheet":"Step 7","index":7,"n_rows":96,"n_cols":52,"rows_kept":96,"cut":false,"hidden":false,"merged":[]}
["Step 7: Estimate the student curve parameters"]
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[]
["(a) Does the migration age profile need a student curve? Assess this by seeing whether the migration probabilities around",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Age 1 year before census","Age at census","Mean age","Probability scaled to unity","Constant","Childhood","Labour force","Retirement","Elderly","m5",null,"Select if  ≥ lower age","Select if ≤ upper age","Select?","Selected m5","Student curve","Error","Error squared",null,"Total so far"]
["      ages 17-20 lie above the model migration schedule fitted up to now.",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,1,1,{"$f":"'Step 1'!F9","v":1.8470342646928654E-2},{"$f":"'Step 2'!AX5","v":2.2213298229828218E-3},{"$f":"'Step 3'!AQ5","v":1.6398861333667955E-2},{"$f":"'Step 4'!BC5","v":1.0194239115668616E-302},{"$f":"'Step 5'!AT5","v":9.6662267985595115E-33},{"$f":"'Step 6'!AW5","v":0},{"$f":"AJ5-AK5-AL5-AM5-AN5-AO5","v":-1.4984850972212319E-4},null,{"$f":"IF($AS$2<=AI5,1,0)","v":0},{"$f":"IF($AU$2>=AI5,1,0)","v":1},{"$f":"IF(AR5+AS5=2,1,0)","v":0},{"$f":"IF(AT5=1,AP5,\" \")","v":" "},{"$f":"IF($AV$2=TRUE,$M$34*EXP(-$M$35*(AI5-$M$36)-EXP(-$M$37*(AI5-$M$36))),0)","v":0},{"$f":"IF(AT5=1,AV5-AP5,\" \")","v":" "},{"$f":"IF(AT5=1,AW5*AW5,\" \")","v":" "},null,{"$f":"AK5+AL5+AM5+AN5+AO5+AV5","v":1.8620191156650777E-2}]
["      If they do, a student curve is probably needed. If not, skip to the next step.",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,1,2,2,{"$f":"'Step 1'!F10","v":1.6829674427628314E-2},{"$f":"'Step 2'!AX6","v":2.2213298229828218E-3},{"$f":"'Step 3'!AQ6","v":1.4858441333496925E-2},{"$f":"'Step 4'!BC6","v":4.1521215034873702E-220},{"$f":"'Step 5'!AT6","v":9.0119823399571535E-32},{"$f":"'Step 6'!AW6","v":0},{"$f":"AJ6-AK6-AL6-AM6-AN6-AO6","v":-2.5009672885143233E-4},null,{"$f":"IF($AS$2<=AI6,1,0)","v":0},1,0," ",{"$f":"IF($AV$2=TRUE,$M$34*EXP(-$M$35*(AI6-$M$36)-EXP(-$M$37*(AI6-$M$36))),0)","v":0}," "," ",null,1.7079771156479746E-2]
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[null,null,null,null,null,null,null,null,null,null,null,"Initial","Fitted   ",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,27,28,28,{"$f":"'Step 1'!F36","v":2.6781995405701853E-2},{"$f":"'Step 2'!AX32","v":2.2213298229828218E-3},{"$f":"'Step 3'!AQ32","v":1.1431989624941716E-3},{"$f":"'Step 4'!BC32","v":2.5842186682507561E-2},{"$f":"'Step 5'!AT32","v":2.862437270930471E-12},{"$f":"'Step 6'!AW32","v":0},-2.4247200651451388E-3,null,1,0,0," ",2.2577392898286455E-11," "," ",null,2.9206715493424382E-2]
["(b) Fit the student curve over ages",null,null,null,18,"to",null,20,null,null,null,"values","values",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,28,29,29,{"$f":"'Step 1'!F37","v":2.5724194800987234E-2},{"$f":"'Step 2'!AX33","v":2.2213298229828218E-3},{"$f":"'Step 3'!AQ33","v":1.0358130586701467E-3},{"$f":"'Step 4'!BC33","v":2.4819790349978364E-2},{"$f":"'Step 5'!AT33","v":9.7122529367666398E-12},{"$f":"'Step 6'!AW33","v":0},-2.35273844035635E-3,null,1,0,0," ",2.4043882922328947E-12," "," ",null,2.8076933243747972E-2]
["       Use between 3 and 5 data points.",null,null,null,null,null,null,null,null,null,"a5 (level)",1E-4,1.998766351389937E-2,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,29,30,30,{"$f":"'Step 1'!F38","v":2.7601540407095872E-2},{"$f":"'Step 2'!AX34","v":2.2213298229828218E-3},{"$f":"'Step 3'!AQ34","v":9.385144036264594E-4},{"$f":"'Step 4'!BC34","v":2.3622141954471761E-2},{"$f":"'Step 5'!AT34","v":3.1742819248294821E-11},{"$f":"'Step 6'!AW34","v":0},8.1955419427200929E-4,null,1,0,0," ",2.5605624697593858E-13," "," ",null,2.6781986213079919E-2]
[null,null,null,null,null,null,null,null,null,null,"alpha5 (r slope)",3,2.2396536884111993,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,30,31,31,{"$f":"'Step 1'!F39","v":2.5348208758898757E-2},{"$f":"'Step 2'!AX35","v":2.2213298229828218E-3},{"$f":"'Step 3'!AQ35","v":8.5035545597887761E-4},{"$f":"'Step 4'!BC35","v":2.2334461168383113E-2},{"$f":"'Step 5'!AT35","v":9.9933825752632642E-11},{"$f":"'Step 6'!AW35","v":0},-5.7937788379880352E-5,null,1,0,0," ",2.7268807065624415E-14," "," ",null,2.5406146547305906E-2]
[null,null,null,null,null,null,null,null,null,null,"u5 (age)",18,18.801510088471911,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,31,32,32,{"$f":"'Step 1'!F40","v":2.4072912381434299E-2},{"$f":"'Step 2'!AX36","v":2.2213298229828218E-3},{"$f":"'Step 3'!AQ36","v":7.7047768123636581E-4},{"$f":"'Step 4'!BC36","v":2.101611748193102E-2},{"$f":"'Step 5'!AT36","v":3.030547093309834E-10},{"$f":"'Step 6'!AW36","v":0},6.4987092229383317E-5,null,1,0,0," ",2.9040019338691055E-15," "," ",null,2.400792528920782E-2]
["(c) ",null,"to set the student curve parameters.",null,null,null,null,null,null,null,"lambda5 (l slope)",1,1.7108761412719358,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,32,33,33,{"$f":"'Step 1'!F41","v":2.2144340540807241E-2},{"$f":"'Step 2'!AX37","v":2.2213298229828218E-3},{"$f":"'Step 3'!AQ37","v":6.981031909767773E-4},{"$f":"'Step 4'!BC37","v":1.9707001764044219E-2},{"$f":"'Step 5'!AT37","v":8.8526045852644069E-10},{"$f":"'Step 6'!AW37","v":0},-4.8209512245703576E-4,null,1,{"$f":"IF($AU$2>=AI37,1,0)","v":0},0,{"$f":"IF(AT37=1,AP37,\" \")","v":" "},{"$f":"IF($AV$2=TRUE,$M$34*EXP(-$M$35*(AI37-$M$36)-EXP(-$M$37*(AI37-$M$36))),0)","v":3.092627853771767E-16},{"$f":"IF(AT37=1,AV37-AP37,\" \")","v":" "},{"$f":"IF(AT37=1,AW37*AW37,\" \")","v":" "},null,{"$f":"AK37+AL37+AM37+AN37+AO37+AV37","v":2.2626435663264586E-2}]
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[null,null,null,null,null,null,null,null,null,null,"Sum of squared error",{"$f":"AX96","v":1.5969336464188006E-14},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,34,35,35,{"$f":"'Step 1'!F43","v":2.2953690410858433E-2},{"$f":"'Step 2'!AX39","v":2.2213298229828218E-3},{"$f":"'Step 3'!AQ39","v":5.7311099943605718E-4},{"$f":"'Step 4'!BC39","v":1.720963965631769E-2},{"$f":"'Step 5'!AT39","v":6.7514280179238751E-9},{"$f":"'Step 6'!AW39","v":0},2.9496031806938469E-3,null,1,0,0," ",3.5074314073145763E-18," "," ",null,2.0004087230164589E-2]
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["(d) Then from the Data tab click on Solver and ensure that the \"Set target cell\" is L39, \"Equal to\" is Min, and \"By changing cells\" is M34:M37.",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,36,37,37,{"$f":"'Step 1'!F45","v":2.0198008606855077E-2},{"$f":"'Step 2'!AX41","v":2.2213298229828218E-3},{"$f":"'Step 3'!AQ41","v":4.7049808956613497E-4},{"$f":"'Step 4'!BC41","v":1.494707247905507E-2},{"$f":"'Step 5'!AT41","v":4.432882706354207E-8},{"$f":"'Step 6'!AW41","v":0},2.5590638864239853E-3,null,1,0,0," ",3.9778711369001723E-20," "," ",null,1.763894472043109E-2]
["       Click on the Solve button. Select \"OK\" when Solver has finished.",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,37,38,38,{"$f":"'Step 1'!F46","v":1.4930464652952769E-2},{"$f":"'Step 2'!AX42","v":2.2213298229828218E-3},{"$f":"'Step 3'!AQ42","v":4.2630205348392566E-4},{"$f":"'Step 4'!BC42","v":1.3913463566550054E-2},{"$f":"'Step 5'!AT42","v":1.0738504361404482E-7},{"$f":"'Step 6'!AW42","v":0},-1.6307381751076465E-3,null,1,0,0," ",4.2362489265733175E-21," "," ",null,1.6561202828060416E-2]
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[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,89,90,90,{"$f":"'Step 1'!F98","v":0},{"$f":"'Step 2'!AX94","v":2.2213298229828218E-3},{"$f":"'Step 3'!AQ94","v":2.5235653764078591E-6},{"$f":"'Step 4'!BC94","v":3.0582830967834581E-4},{"$f":"'Step 5'!AT94","v":4.0563153437446931E-10},{"$f":"'Step 6'!AW94","v":0},-2.5296821036691099E-3,null,1,0,0," ",1.117329030397683E-71," "," ",null,2.5296821036691099E-3]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Sum of squared error",{"$f":"SUM(AX5:AX94)","v":1.5969336464188006E-14}]

{"sheet":"Graphs","index":8,"n_rows":120,"n_cols":47,"rows_kept":120,"cut":false,"hidden":false,"merged":[[2,24,2,26]]}
["Final model migration schedule",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Scroll down for GMP estimate"]
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[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"For POPSTAR (copy & paste the red numbers into the POPSTAR2 DATA INPUTS workbook)",null,null,null,"Scaled-up smoothed probabilities (to check against initial data)",null,"Model parameters",null,null,"Age 1 year before census","Age at census","Mean age","Initial data","Constant","Childhood curve","Labour force curve","Retirement curve","Elderly curve","Student curve","Smoothed migration probabilities",null,"Error","Error squared"]
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[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2-3",{"$f":"Z6+1","v":3},1.477995437453662E-2,null,1.1679028138705482E-2,null,"Childhood curve",null,null,2,3,3,{"$f":"'Step 1'!F11","v":1.5640593840227576E-2},2.2213298229828218E-3,1.3462720024817069E-2,{"$f":"$AF$12*EXP(-$AF$13*(AJ7-$AF$14)-EXP(-$AF$15*(AJ7-$AF$14)))","v":3.6493645839446607E-160},8.093291613736751E-31,0,0,1.5684049847799891E-2,null,4.3456007572315047E-5,1.8884245941251029E-9]
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[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"8-9",9,9.1127647552886656E-3,null,7.200850104231573E-3,null,"alpha2 (r slope)",{"$f":"'Step 4'!P6","v":7.3509344164101667E-2},null,8,9,9,{"$f":"'Step 1'!F17","v":1.0692642137688207E-2},2.2213298229828218E-3,7.4488662447031043E-3,7.6684276564428032E-25,1.9343094399488772E-25,0,0,9.6701960676859253E-3,null,-1.0224460700022815E-3,1.0453959660631103E-6]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"9-10",10,8.4533927408340301E-3,null,6.6798184342043744E-3,null,"u2 (age)",{"$f":"'Step 4'!P7","v":21.407785035270091},null,9,10,10,{"$f":"'Step 1'!F18","v":9.2454224038154859E-3},2.2213298229828218E-3,6.7491601914308665E-3,1.6297893402383313E-18,1.3366612206235775E-24,0,0,8.9704900144136901E-3,null,-2.7493238940179583E-4,7.5587818742180701E-8]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"10-11",11,7.8559585535807486E-3,null,6.2077296504949543E-3,null,"lambda2 (l slope)",{"$f":"'Step 4'!P8","v":0.32057374271227662},null,10,11,11,{"$f":"'Step 1'!F19","v":8.2998892066511905E-3},2.2213298229828218E-3,6.1151807259241103E-3,6.243007420826957E-14,8.8973003463857084E-24,0,0,8.3365105489693614E-3,null,3.6621342318170907E-5,1.3411227131846554E-9]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"11-12",12,7.3146442123476875E-3,null,5.779986420513303E-3,null,null,null,null,11,12,12,{"$f":"'Step 1'!F20","v":7.5651204427469977E-3},2.2213298229828218E-3,5.5407538493742053E-3,1.296762858048423E-10,5.7047505633865264E-23,0,0,7.7620838020333134E-3,null,1.9696335928631563E-4,3.8794564901350256E-8]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"12-13",13,6.8242083820343E-3,null,5.3924470738203585E-3,null,"Retirement curve",null,null,12,13,13,{"$f":"'Step 1'!F21","v":7.39307028421548E-3},2.2213298229828218E-3,5.0202855149004254E-3,3.2486144994853527E-8,3.5233563873200876E-22,0,0,7.2416478240282418E-3,null,-1.5142246018723816E-4,2.2928761449155724E-8]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"13-14",14,6.3814354246678048E-3,null,5.0425706332644822E-3,null,"a3 (level)",{"$f":"'Step 5'!L35","v":2.4080736029771692E-3},null,13,14,14,{"$f":"'Step 1'!F22","v":6.8684828950858774E-3},2.2213298229828218E-3,4.5487071500145389E-3,1.7533021768708889E-6,2.096128941430514E-21,0,0,6.7717902751742312E-3,null,-9.6692619911646106E-5,9.3494627453780615E-9]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"14-15",15,6.0064010669755533E-3,null,4.746220813402033E-3,null,"rho 3 (slope)",{"$f":"'Step 5'!L36","v":7.3091519822800839},null,14,15,15,{"$f":"'Step 1'!F23","v":5.8700148129533641E-3},2.2213298229828218E-3,4.1214262964093147E-3,3.1058802704099194E-5,1.2012154796946337E-20,0,9.9656699124480501E-289,6.3738149220962355E-3,null,5.0380010914287138E-4,2.5381454997236911E-7]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"15-16",16,5.843296306136384E-3,null,4.6173364445382609E-3,null,"mu3 (age)",{"$f":"'Step 5'!L37","v":61.134264748369155},null,15,16,16,{"$f":"'Step 1'!F24","v":6.0942115185815869E-3},2.2213298229828218E-3,3.7342818863772987E-3,2.4512127116921414E-4,6.6307911895543003E-20,0,4.1742959534477511E-52,6.2007329805293344E-3,null,1.0652146194774746E-4,1.1346821855485411E-8]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"16-17",17,6.2955759449563348E-3,null,4.9747250057263857E-3,null,null,null,null,16,17,17,{"$f":"'Step 1'!F25","v":5.8310940637224936E-3},2.2213298229828218E-3,3.3835037203200006E-3,1.075844812019705E-3,3.5257481690624506E-19,0,3.8286205813963542E-10,6.6806787381845862E-3,null,8.4958467446209253E-4,7.2179411908085974E-7]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"17-18",18,1.0093278568418993E-2,null,7.9756460287485949E-3,null,"Elderly curve",null,null,17,18,18,{"$f":"'Step 1'!F26","v":1.0710665063568455E-2},2.2213298229828218E-3,3.065675750719856E-3,3.084476998728547E-3,1.8058377692534555E-18,0,2.3392057140998977E-3,1.0710688286531125E-2,null,2.3222962669197655E-8,5.3930599513494788E-16]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"18-19",19,1.675364523008183E-2,null,1.3238626392860504E-2,null,"a4 (level)",{"$f":"'Step 6'!L38","v":2.1718244294055773E-7},null,18,19,19,{"$f":"'Step 1'!F27","v":1.777846033618961E-2},2.2213298229828218E-3,2.7777028150165256E-3,6.4923039652534159E-3,8.9093840649412113E-18,0,6.2871355261103793E-3,1.7778472129363152E-2,null,1.1793173541885249E-8,1.3907894218902228E-16]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"19-20",20,1.5885996705631223E-2,null,1.2553015918377385E-2,null,"alpha4 (slope)",{"$f":"'Step 6'!L39","v":0.10000002485915446},null,19,20,20,{"$f":"'Step 1'!F28","v":1.6857872868747042E-2},2.2213298229828218E-3,2.5167804934161779E-3,1.091973890540082E-2,4.2340709909426778E-17,0,1.1998999903601064E-3,1.6857749212159968E-2,null,-1.2365658707408356E-7,1.5290951526810409E-14]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"20-21",21,1.9083929966903512E-2,null,1.5080002916960201E-2,null,null,null,null,20,21,21,{"$f":"'Step 1'!F29","v":1.8442404180914813E-2},2.2213298229828218E-3,2.2803677980945181E-3,1.5607612889248251E-2,1.938251352264691E-16,0,1.4199076625348266E-4,2.0251301276579269E-2,null,1.8088970956644558E-3,3.2721087027033033E-6]
[null,null,null,null,null,null,null,null,null,null,null,null,"Scaled migration probability",null,null,null,null,null,null,null,null,null,null,null,"21-22",22,2.2734749959035343E-2,null,1.7964858197089775E-2,null,"Student curve",null,null,21,22,22,{"$f":"'Step 1'!F30","v":2.4258857104589023E-2},2.2213298229828218E-3,2.0661624278278091E-3,1.982253888343468E-2,8.5468003992955374E-16,0,1.5412192499968674E-5,2.4125443326746137E-2,null,-1.3341377784288622E-4,1.7799236118310996E-8]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"22-23",23,2.5634383093977135E-2,null,2.0256130288785236E-2,null,"a5 (level)",{"$f":"'Step 7'!M34","v":1.998766351389937E-2},null,22,23,23,{"$f":"'Step 1'!F31","v":2.8111467860366477E-2},2.2213298229828218E-3,1.8720783470695028E-3,2.3107392974320063E-2,3.6302667118074558E-15,0,1.6469874127045026E-6,2.7202448131788719E-2,null,-9.0901972857775765E-4,8.2631686694358021E-7]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"23-24",24,2.754460264170544E-2,null,2.1765573909765534E-2,null,"alpha5 (r slope)",{"$f":"'Step 7'!M35","v":2.2396536884111993},null,23,24,24,{"$f":"'Step 1'!F32","v":2.8108918534779311E-2},2.2213298229828218E-3,1.6962254711266845E-3,2.5311785741491118E-2,1.4853028378591705E-14,0,1.7550569611309864E-7,2.922951654131159E-2,null,1.1205980065322786E-3,1.2557398922441168E-6]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"24-25",25,2.851630146966427E-2,null,2.2533404287755729E-2,null,"u5 (age)",{"$f":"'Step 7'!M36","v":18.801510088471911},null,24,25,25,{"$f":"'Step 1'!F33","v":3.2813953798694867E-2},2.2213298229828218E-3,1.5368912596007533E-3,2.6502414783675217E-2,5.8537341387880725E-14,0,1.8692646822250114E-8,3.0260654558964151E-2,null,-2.5532992397307164E-3,6.5193370076094543E-6]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"25-26",26,2.8712031221938487E-2,null,2.2688068722196118E-2,null,"lambda5 (l slope)",{"$f":"'Step 7'!M37","v":1.7108761412719358},null,25,26,26,{"$f":"'Step 1'!F34","v":2.9780522408238395E-2},2.2213298229828218E-3,1.3925240388403405E-3,2.6854501322428843E-2,2.2222477900252758E-13,0,1.9907209405754828E-9,3.0468357175195172E-2,null,6.8783476695677762E-4,4.7311666663448455E-7]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"26-27",27,2.8322349841164201E-2,null,2.2380144915676574E-2,null,null,null,null,26,27,27,{"$f":"'Step 1'!F35","v":3.0867282447268232E-2},2.2213298229828218E-3,1.2617178909924635E-3,2.6571790908228709E-2,8.1263117217891194E-13,0,2.1200335847804407E-10,3.0054838835019984E-2,null,-8.1244361224824813E-4,6.6006462308298174E-7]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"27-28",28,2.7523115943388691E-2,null,2.1748595254223704E-2,null,null,null,null,27,28,28,{"$f":"'Step 1'!F36","v":2.6781995405701853E-2},2.2213298229828218E-3,1.1431989624941716E-3,2.5842186682507561E-2,2.862437270930471E-12,0,2.2577392898286455E-11,2.9206715493424382E-2,null,2.4247200877225289E-3,5.8792675038051482E-6]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"28-29",29,2.645845915732772E-2,null,2.0907310075164443E-2,null,null,null,null,28,29,29,{"$f":"'Step 1'!F37","v":2.5724194800987234E-2},2.2213298229828218E-3,1.0358130586701467E-3,2.4819790349978364E-2,9.7122529367666398E-12,0,2.4043882922328947E-12,2.8076933243747972E-2,null,2.3527384427607378E-3,5.5353781800442215E-6]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"29-30",30,2.523815839212706E-2,null,1.9943035990596492E-2,null,null,null,null,29,30,30,{"$f":"'Step 1'!F38","v":2.7601540407095872E-2},2.2213298229828218E-3,9.385144036264594E-4,2.3622141954471761E-2,3.1742819248294821E-11,0,2.5605624697593858E-13,2.6781986213079919E-2,null,-8.1955419401595272E-4,6.7166907692913788E-7]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"30-31",31,2.3941627988044591E-2,null,1.8918525718896746E-2,null,null,null,null,30,31,31,{"$f":"'Step 1'!F39","v":2.5348208758898757E-2},2.2213298229828218E-3,8.5035545597887761E-4,2.2334461168383113E-2,9.9933825752632642E-11,0,2.7268807065624415E-14,2.5406146547305906E-2,null,5.7937788407149554E-5,3.3567873255116335E-9]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"31-32",32,{"$f":"AR36/SUM(AR$4:AR$115)","v":2.2624006162002268E-2},null,{"$f":"AA36*AA$118/AA$119","v":1.787734913657707E-2},null,null,null,null,31,32,32,{"$f":"'Step 1'!F40","v":2.4072912381434299E-2},2.2213298229828218E-3,7.7047768123636581E-4,2.101611748193102E-2,3.030547093309834E-10,0,2.9040019338691055E-15,2.400792528920782E-2,null,-6.4987092226478915E-5,4.2233221560528761E-9]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"32-33",33,2.1322151485532917E-2,null,1.6848631657909782E-2,null,null,null,null,32,33,33,{"$f":"'Step 1'!F41","v":2.2144340540807241E-2},{"$f":"$AF$5","v":2.2213298229828218E-3},{"$f":"$AF$8*EXP(-$AF$9*AJ37)","v":6.981031909767773E-4},{"$f":"$AF$12*EXP(-$AF$13*(AJ37-$AF$14)-EXP(-$AF$15*(AJ37-$AF$14)))","v":1.9707001764044219E-2},{"$f":"IF($AO$2=TRUE,$AF$18*EXP(-((AJ37-$AF$20)/$AF$19)*((AJ37-$AF$20)/$AF$19)),0)","v":8.8526045852644069E-10},{"$f":"IF($AP$2=TRUE,($AF$23*EXP($AF$24*AJ37)),0)","v":0},{"$f":"IF($AQ$2=TRUE,($AF$27*EXP(-$AF$28*(AJ37-$AF$29)-EXP(-$AF$30*(AJ37-$AF$29)))),0)","v":3.092627853771767E-16},2.2626435663264586E-2,null,4.820951224573447E-4,2.3241570709716217E-7]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"33-34",34,2.0059694722194491E-2,null,1.5851046165472102E-2,null,null,null,null,33,34,34,{"$f":"'Step 1'!F42","v":2.2190168390901169E-2},2.2213298229828218E-3,6.3252716739299142E-4,1.8432894454585062E-2,2.4909361824301086E-9,0,3.2935057409484215E-17,2.1286753935897091E-2,null,-9.0341445500407777E-4,8.1615767751031481E-7]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"34-35",35,1.8850966391665568E-2,null,1.4895916546897731E-2,null,null,null,null,34,35,35,{"$f":"'Step 1'!F43","v":2.2953690410858433E-2},2.2213298229828218E-3,5.7311099943605718E-4,1.720963965631769E-2,6.7514280179238751E-9,0,3.5074314073145763E-18,2.0004087230164589E-2,null,-2.9496031806938439E-3,8.7001589235592403E-6]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"35-36",36,1.7703907422533468E-2,null,1.3989517674630013E-2,null,null,null,null,35,36,36,{"$f":"'Step 1'!F44","v":1.8498084370597474E-2},2.2213298229828218E-3,5.1927606371178243E-4,1.6046238710938195E-2,1.7626666514160225E-8,0,3.7352523555741762E-19,1.8786862224299313E-2,null,2.8877785370183887E-4,8.3392648788640645E-8]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"36-37",37,1.6622160775618528E-2,null,1.3134728193680348E-2,null,null,null,null,36,37,37,{"$f":"'Step 1'!F45","v":2.0198008606855077E-2},2.2213298229828218E-3,4.7049808956613497E-4,1.494707247905507E-2,4.432882706354207E-8,0,3.9778711369001723E-20,1.763894472043109E-2,null,-2.5590638864239866E-3,6.5488079747994384E-6]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"37-38",38,1.5606544518890054E-2,null,1.2332194536276521E-2,null,null,null,null,37,38,38,{"$f":"'Step 1'!F46","v":1.4930464652952769E-2},2.2213298229828218E-3,4.2630205348392566E-4,1.3913463566550054E-2,1.0738504361404482E-7,0,4.2362489265733175E-21,1.6561202828060416E-2,null,1.6307381751076468E-3,2.6593069957534182E-6]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"38-39",39,1.4656077288099669E-2,null,1.1581141234485363E-2,null,null,null,null,38,39,39,{"$f":"'Step 1'!F47","v":1.6984019267490207E-2},2.2213298229828218E-3,3.8625755307996159E-4,1.2944757198493495E-2,2.5057795547137368E-7,0,4.5114093318462915E-22,1.555259515251175E-2,null,-1.4314241149784562E-3,2.0489749969418563E-6]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"39-40",40,1.3768691217955722E-2,null,1.0879934273998292E-2,null,null,null,null,39,40,40,{"$f":"'Step 1'!F48","v":1.4019811885388511E-2},2.2213298229828218E-3,3.4997461563235219E-4,1.2039059670811536E-2,5.6322695436576133E-7,0,4.8044424471375004E-23,1.4610927336381075E-2,null,5.9111545099256417E-4,3.4941747640214251E-7]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"40-41",41,1.2941735568897638E-2,null,1.022647905688003E-2,null,null,null,null,40,41,41,{"$f":"'Step 1'!F49","v":1.3692010762053853E-2},2.2213298229828218E-3,3.1709990033944232E-4,1.1193737315797455E-2,1.2194542333267544E-6,0,5.116509172624814E-24,1.3733386493353044E-2,null,4.1375731299191087E-5,1.711951140542861E-9]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"41-42",42,1.217234906615818E-2,null,9.6185146215827765E-3,null,null,null,null,41,42,42,{"$f":"'Step 1'!F50","v":1.2290273257870762E-2},2.2213298229828218E-3,2.8731325731610856E-4,1.040574999289263E-2,2.5432501948123955E-6,0,5.4488458133473927E-25,1.2916936323386372E-2,null,6.2666306551560982E-4,3.9270659768142151E-7]
["FOR INFORMATION",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"42-43",43,1.1457759391593282E-2,null,9.0538502995297868E-3,null,null,null,null,42,43,43,{"$f":"'Step 1'!F51","v":1.0992275402301528E-2},2.2213298229828218E-3,2.6032460981926272E-4,9.6718712768376208E-3,5.1092149339678732E-6,0,5.8027689770371739E-26,1.2158634924573674E-2,null,1.1663595222721462E-3,1.360394535194909E-6]
["Checking scaled-up smoothed probabilities at all ages against initial data supplied in step 1",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"43-44",44,1.0795551471921535E-2,null,8.5305777148157059E-3,null,null,null,null,43,44,44,{"$f":"'Step 1'!F52","v":1.0528605591711702E-2},2.2213298229828218E-3,2.3587112934016322E-4,8.9888316261558781E-3,9.8869141965176527E-6,0,6.1796807900826758E-27,1.1455919492675382E-2,null,9.2731390096367945E-4,8.5991107092047668E-7]
["You may want to adjust the y-axis maximum value so that the fit becomes clearer.",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"44-45",45,1.0183928515340949E-2,null,8.0472770537196626E-3,null,null,null,null,44,45,45,{"$f":"'Step 1'!F53","v":1.0213328725183882E-2},2.2213298229828218E-3,2.1371467605321742E-4,8.3534095254178056E-3,1.8429300992541319E-5,0,6.5810744522893521E-28,1.0806883325446387E-2,null,5.9355460026250424E-4,3.5230706349278121E-7]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"45-46",46,9.6219676807191377E-3,null,7.60321909291122E-3,null,null,null,null,45,46,46,{"$f":"'Step 1'!F54","v":1.0809521267272477E-2},2.2213298229828218E-3,1.9363947969512908E-4,7.7624876990289565E-3,3.3090129501665424E-5,0,7.0085401524431294E-29,1.0210547131208572E-2,null,-5.9897413606390532E-4,3.5877001567350176E-7]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"46-47",47,9.1098440119137484E-3,null,7.1985421509593783E-3,null,null,null,null,46,47,47,{"$f":"'Step 1'!F55","v":8.5578535938144358E-3},2.2213298229828218E-3,1.7545003828966469E-4,7.2130860317358063E-3,5.7230768311146169E-5,0,7.463771368111479E-30,9.6670966613194385E-3,null,1.1092430675050027E-3,1.2304201828079079E-6]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"47-48",48,8.6489636347407868E-3,null,6.8343573397495689E-3,null,null,null,null,47,48,48,{"$f":"'Step 1'!F56","v":8.5419719054084259E-3},2.2213298229828218E-3,1.5896921425480944E-4,6.7023790805331466E-3,9.534593707925221E-5,0,7.948571574641166E-31,9.1780240548500307E-3,null,6.3605214944160472E-4,4.0456233680928547E-7]
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[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"82-83",83,2.580452607505316E-3,null,2.0390576215561138E-3,null,null,null,null,82,83,83,{"$f":"'Step 1'!F91","v":5.3396930937828612E-3},2.2213298229828218E-3,5.0338194920957088E-6,5.1162363752593049E-4,3.1260242131652523E-7,0,7.1922661564859323E-65,2.7382998824221649E-3,null,-2.6013932113606963E-3,6.7672466401135168E-6]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"83-84",84,2.5456700711965017E-3,null,2.0115726774221831E-3,null,null,null,null,83,84,84,{"$f":"'Step 1'!F92","v":2.5773982572063494E-3},2.2213298229828218E-3,4.5609698188714415E-6,4.7536357311752969E-4,1.3531911828627051E-7,0,7.6594310716624123E-66,2.7013896850375091E-3,null,1.2399142783115977E-4,1.5373874175609702E-8]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"84-85",85,2.5134438144840438E-3,null,1.9861076895465526E-3,null,null,null,null,84,85,85,{"$f":"'Step 1'!F93","v":2.7043127739900287E-3},2.2213298229828218E-3,4.1325370767308946E-6,4.4167335132242277E-4,5.6424469795327724E-8,0,8.1569401166615954E-67,2.6671921358517705E-3,null,-3.7120638138258243E-5,1.3779417757915124E-9]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"85-86",86,2.4835480875770892E-3,null,1.9624842718467721E-3,null,null,null,null,85,86,86,{"$f":"'Step 1'!F94","v":4.9176370844749399E-3},2.2213298229828218E-3,3.7443489803186666E-6,4.1037084091384308E-4,2.2662995891260714E-8,0,8.6867642575918099E-68,2.6354676758728749E-3,null,-2.2821694086020651E-3,5.2082972095590995E-6]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"86-87",87,2.4557960495723047E-3,null,1.9405547838016197E-3,null,null,null,null,86,87,87,{"$f":"'Step 1'!F95","v":2.5631892064115875E-3},2.2213298229828218E-3,3.3926251661132855E-6,3.8128681875499956E-4,8.7681638936763982E-9,0,9.2510024822710157E-69,2.6060180350678287E-3,null,4.2828828656241245E-5,1.8343085640656711E-9]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"87-88",88,2.4300254952194455E-3,null,1.9201910518299153E-3,null,null,null,null,87,88,88,{"$f":"'Step 1'!F96","v":4.9476983509326696E-3},2.2213298229828218E-3,3.0739403774179283E-6,3.542640549739011E-4,3.267694925619379E-9,0,9.851890115722987E-70,2.5786710860290665E-3,null,-2.3690272649036031E-3,5.6122901818566462E-6]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"88-89",89,2.4060911333875497E-3,null,1.9012782677824724E-3,null,null,null,null,88,89,89,{"$f":"'Step 1'!F97","v":4.703389061026189E-3},2.2213298229828218E-3,2.7851911075532998E-6,3.291564629728991E-4,1.1730481910852188E-9,0,1.0491807675794288E-70,2.5532726501114656E-3,null,-2.1501164109147233E-3,4.6230005804848116E-6]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"89-90",{"$f":"Z93+1","v":90},2.3838604465769415E-3,null,1.8837117171542008E-3,null,null,null,null,89,90,90,{"$f":"'Step 1'!F98","v":0},2.2213298229828218E-3,2.5235653764078591E-6,3.0582830967834581E-4,4.0563153437446931E-10,0,1.117329030397683E-71,2.5296821036691099E-3,null,2.5296821036691099E-3,6.3992915456237729E-6]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"90-91",null,{"$f":"AR95/SUM(AR$4:AR$115)","v":2.3838604465769415E-3},null,1.8837117171542008E-3,null,null,null,null,90,91,91,null,null,null,null,null,null,null,{"$f":"AR94","v":2.5296821036691099E-3},null,"Sum of squared error",{"$f":"SUM(AU5:AU94)","v":1.0862008625784452E-4}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"91-92",null,2.3838604465769415E-3,null,1.8837117171542008E-3,null,null,null,null,91,92,92,null,null,null,null,null,null,null,{"$f":"AR95","v":2.5296821036691099E-3}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"92-93",null,2.3838604465769415E-3,null,1.8837117171542008E-3,null,null,null,null,92,93,93,null,null,null,null,null,null,null,2.5296821036691099E-3]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"93-94",null,2.3838604465769415E-3,null,1.8837117171542008E-3,null,null,null,null,93,94,94,null,null,null,null,null,null,null,2.5296821036691099E-3]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"94-95",null,2.3838604465769415E-3,null,1.8837117171542008E-3,null,null,null,null,94,95,95,null,null,null,null,null,null,null,2.5296821036691099E-3]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"95-96",null,2.3838604465769415E-3,null,{"$f":"AA100*AA$118/AA$119","v":1.8837117171542008E-3},null,null,null,null,95,96,96,null,null,null,null,null,null,null,2.5296821036691099E-3]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"96-97",null,2.3838604465769415E-3,null,1.8837117171542008E-3,null,null,null,null,96,97,97,null,null,null,null,null,null,null,2.5296821036691099E-3]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"97-98",null,2.3838604465769415E-3,null,1.8837117171542008E-3,null,null,null,null,97,98,98,null,null,null,null,null,null,null,2.5296821036691099E-3]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"98-99",null,2.3838604465769415E-3,null,1.8837117171542008E-3,null,null,null,null,98,99,99,null,null,null,null,null,null,null,2.5296821036691099E-3]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"99-100",null,2.3838604465769415E-3,null,1.8837117171542008E-3,null,null,null,null,99,100,100,null,null,null,null,null,null,null,2.5296821036691099E-3]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"100-101",null,2.3838604465769415E-3,null,1.8837117171542008E-3,null,null,null,null,100,101,101,null,null,null,null,null,null,null,2.5296821036691099E-3]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"101-102",null,2.3838604465769415E-3,null,1.8837117171542008E-3,null,null,null,null,101,102,102,null,null,null,null,null,null,null,2.5296821036691099E-3]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"102-103",null,2.3838604465769415E-3,null,1.8837117171542008E-3,null,null,null,null,102,103,103,null,null,null,null,null,null,null,2.5296821036691099E-3]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"103-104",null,2.3838604465769415E-3,null,1.8837117171542008E-3,null,null,null,null,103,104,104,null,null,null,null,null,null,null,2.5296821036691099E-3]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"104-105",null,2.3838604465769415E-3,null,1.8837117171542008E-3,null,null,null,null,104,105,105,null,null,null,null,null,null,null,2.5296821036691099E-3]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"105-106",null,2.3838604465769415E-3,null,1.8837117171542008E-3,null,null,null,null,105,106,106,null,null,null,null,null,null,null,2.5296821036691099E-3]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"106-107",null,2.3838604465769415E-3,null,1.8837117171542008E-3,null,null,null,null,106,107,107,null,null,null,null,null,null,null,2.5296821036691099E-3]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"107-108",null,2.3838604465769415E-3,null,1.8837117171542008E-3,null,null,null,null,107,108,108,null,null,null,null,null,null,null,2.5296821036691099E-3]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"108-109",null,2.3838604465769415E-3,null,1.8837117171542008E-3,null,null,null,null,108,109,109,null,null,null,null,null,null,null,2.5296821036691099E-3]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"109-110",null,2.3838604465769415E-3,null,1.8837117171542008E-3,null,null,null,null,109,110,110,null,null,null,null,null,null,null,2.5296821036691099E-3]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"110+-111+",null,2.3838604465769415E-3,null,1.8837117171542008E-3,null,null,null,null,110,111,111,null,null,null,null,null,null,null,2.5296821036691099E-3]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Total",null,{"$f":"SUM(AA4:AA115)","v":0.99999999999999967},null,{"$f":"SUM(AC4:AC115)","v":0.79019378833986675},"<- GMP"]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Sum of probabilities from 0-1 to 74-75 in raw data",0.71245186392902804,"<- copy from 2006 Census migration data for POPSTAR"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Sum of probabilities from 0-1 to 74-75 in smoothed scaled data above",{"$f":"SUM(AA5:AA79)","v":0.90161663435222827}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Gross Migraproduction Probability (covering birth-0 to 110+-111+)",{"$f":"AA118/AA119","v":0.79019378833986709}]