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["Disclaimer: This Software has been prepared by and/or on behalf of Continuous Mortality Investigation Limited (CMI).  The CMI does not accept any responsibility and/or liability whatsoever for the content or use of this Software by any party that has not agreed to the relevant Terms.  Whilst care has been taken during the development of the Software, CMI does not (i) warrant its accuracy; or (ii) guarantee any outcome or result from the application of this Software or of any of CMI’s work (whether contained in or arising from the application of this Software or otherwise).  You assume sole responsibility for your use of this Software, and for any and all conclusions drawn from its use.  CMI hereby excludes all warranties, representations, conditions and all other terms of any kind whatsoever implied by statute or common law in relation to this Software, to the fullest extent permitted by applicable law.  If you are in any doubt as to using anything produced by CMI, please seek independent advice.\n\nIllustrative version: This Software is being released as an illustrative version as part of the consultation process described in CMI Working Papers 90 and 91. It is being made available to allow users to investigate the CMI's proposals for the Model and to gain feedback on its functionality and accuracy. While the Software has been tested, the Software may contain bugs, errors and other problems. You should not rely on the Software without undertaking adequate checks of your own.\n\nCopyright notice: You may reproduce this Software free of charge in any format or medium provided it is:\n  1. reproduced accurately and is unaltered;\n  2. not used in a misleading context; and\n  3. correctly referenced and includes both CMI’s Disclaimer notice set out above and CMI’s copyright notice, as follows: \n          © Continuous Mortality Investigation Limited\n"]

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[]
[null,null,null,null,null,null,"For information on the proposed Model, see Working Papers 90, 91 and 93:"]
[null,null,null,null,null,null,null,"https://www.actuaries.org.uk/learn-and-develop/continuous-mortality-investigation/cmi-working-papers/mortality-projections"]
[null,null,null,null,null,null,"The user guide to the original software is in Section 12 of Working Paper 91. "]
[null,null,null,null,null,null,"This version adds inputs (in E40:E42) and data (CMI_2016_EarlyEst) to allow replication of \"early estimate\" results from Working Paper 93."]
[]
[]
[]
[null,"Parameters for the APCI model",null,null,null,null,null,null,"Parameters for projection",null,null,null,null,null,null,null,"Parameters for sample outputs"]
[]
[null,"(Core values for the early estimate of CMI_2016 are shown as examples in parentheses)",null,null,null,null,null,null,null,"Long-term rates",null,"Convergence periods",null,null,null,null,null,null,null,"Use standard table"]
[null,null,null,null,null,null,null,null,"Age","Age-period","Cohort","Age-period","Cohort",null,null,null,"Age","Base table qx",null,"{custom}"]
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[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Base table timing"]
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[null,"Dataset (eg CMI_2016EarlyEst_M or CMI_2016EarlyEst_F)",null,"DataSheet",null,null,null,null,21,null,0,10,11,null,null,null,21]
[null,"Adjust exposures? (eg TRUE)",null,"AdjustExposures",true,null,null,null,22,null,0,10,12,null,null,null,22]
[null,"If adjusting exposure, value of n (eg 2)",null,"Adjust_N",2,null,null,null,23,null,0,10,13,null,null,null,23,null,null,"Annuity assumptions"]
[null,"If adjusting exposure, value of p (eg 1%)",null,"Adjust_p",0.01,null,null,null,24,null,0,10,14,null,null,null,24]
[null,null,null,null,null,null,null,null,25,null,0,10,15,null,null,null,25,null,null,"Retirement age",65]
[null,"Minimum age to use for calibration (eg 20)",null,"MinAge",20,null,null,null,26,null,0,10,16,null,null,null,26,null,null,"Interest rate",0.03]
[null,"Maximum age to use for calibration (eg 100)",null,"MaxAge",100,null,null,null,27,null,0,10,17,null,null,null,27]
[null,"Age at which improvements taper to zero (eg 110)",null,"TaperAge",110,null,null,null,28,null,0,10,18,null,null,null,28]
[null,null,null,null,null,null,null,null,29,null,0,10,19,null,null,null,29]
[null,"Minimum calendar year to use (eg 1976)",null,"MinYear",1976,null,null,null,30,null,0,10,20,null,null,null,30]
[null,"Maximum calendar year to use (eg 2016)",null,"MaxYear",2016,null,null,null,31,null,0,10,21,null,null,null,31]
[null,null,null,null,null,null,null,null,32,null,0,10,22,null,null,null,32]
[null,"Number of cohorts to exclude (eg 0)",null,"ExcludeCohorts",0,null,null,null,33,null,0,10,23,null,null,null,33]
[null,null,null,null,null,null,null,null,34,null,0,10,24,null,null,null,34]
[null,"Smoothing parameter for alpha (eg 7)",null,"S_alpha",7,null,null,null,35,null,0,10,25,null,null,null,35]
[null,"Smoothing parameter for beta (eg 9)",null,"S_beta",9,null,null,null,36,null,0,10,26,null,null,null,36]
[null,"Period smoothing parameter (eg 7.5)",null,"S_kappa",7.5,null,null,null,37,null,0,10,27,null,null,null,37]
[null,"Smoothing parameter for gamma (eg 7)",null,"S_gamma",7,null,null,null,38,null,0,10,28,null,null,null,38]
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[null,"Constrain some cohort improvements to be nil (eg TRUE)",null,"ConstrainGamma",true,null,null,null,42,null,0,10,32,null,null,null,42]
[null,"If constraints apply, nil at this age and lower (eg 30)",null,"ZeroCohortMIAtAndBelow",30,null,null,null,43,null,0,10,33,null,null,null,43]
[null,"If constraints apply, nil at this age and higher (eg 110)",null,"ZeroCohortMIAtAndAbove",110,null,null,null,44,null,0,10,34,null,null,null,44]
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["Name","ONS_EW_M_Exp"]
["Timestamp","15/12/2015  15:36:38"]
["Description","ONS England & Wales Data - Males"]
["Description2","1961-2014 + 2015 Based on Full Years Weekly Deaths"]
["Description3"]
["DownloadUrl"]
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["Attribution","ONS"]
["Spare1"]
["Spare2"]
["Sex","M"]
["Type","Exp"]
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["Name","ONS_EW_M_Dth"]
["Timestamp","29/01/2016  09:00:00"]
["Description","ONS England & Wales Data - Males"]
["Description2","1961-2014 + 2015 Based on Full Years Weekly Deaths"]
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{"sheet":"ONS_EW_F_Exp","index":5,"n_rows":103,"n_cols":56,"rows_kept":103,"cut":false,"hidden":false,"merged":[]}
["Name","ONS_EW_F_Exp"]
["Timestamp","15/12/2015  15:45:21"]
["Description","ONS England & Wales Data - Females"]
["Description2","1961-2014 + 2015 Based on Full Years Weekly Deaths"]
["Description3"]
["DownloadUrl"]
["DownloadDate"]
["Attribution","ONS"]
["Spare1"]
["Spare2"]
["Sex","F"]
["Type","Exp"]
["MinAge",18]
["MaxAge",102]
["MinYear",1961]
["MaxYear",2015]
[]
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["Name","ONS_EW_F_Dth"]
["Timestamp","29/01/2016  09:00:00"]
["Description","ONS England & Wales Data - Females"]
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["These are copied to the Inputs sheet when a standard table is used"]
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[143,1,1,1,1,1,1,1,1,1,1,1,1]
[144,1,1,1,1,1,1,1,1,1,1,1,1]
[145,1,1,1,1,1,1,1,1,1,1,1,1]
[146,1,1,1,1,1,1,1,1,1,1,1,1]
[147,1,1,1,1,1,1,1,1,1,1,1,1]
[148,1,1,1,1,1,1,1,1,1,1,1,1]
[149,1,1,1,1,1,1,1,1,1,1,1,1]
[150,1,1,1,1,1,1,1,1,1,1,1,1]

{"sheet":"OutputContents","index":8,"n_rows":35,"n_cols":4,"rows_kept":35,"cut":false,"hidden":true,"merged":[]}
[]
[]
[]
[null,"Sheet","Description"]
[]
[null,"Contents","This sheet"]
[]
[null,"Params_fit","Parameters used to specify the calibration process"]
[null,"Deaths","Deaths data used for calibration"]
[null,"Exposures","Exposures data used for calibration"]
[null,"ExposuresRaw","Exposures data before adjustment"]
[null,"Iterations","Progress of deviance, penalty and objective during the fitting process"]
[null,"Params_APCI","Fitted parameters for the APCI model"]
[null,"logm_fit","Fitted log central mortality rates"]
[null,"m_fit","Fitted central mortality rates"]
[null,"DevRes","Deviance and deviance residuals"]
[null,"MI_fit","Fitted mortality improvements"]
[]
[null,"Params_proj","Parameters used to specify the projection process"]
[null,"MI_m_AP_proj","Projected age-period component of mortality improvements in terms of m"]
[null,"MI_m_C_proj","Projected cohort component of mortality improvements in terms of m"]
[null,"MI_m_proj","Projected mortality improvements in terms of m"]
[null,"logm_proj","Projected log central mortality rates"]
[null,"m_proj","Projected central mortality rates"]
[null,"q_proj","Projected mortality rates (using calibration data)","as at 1 January"]
[null,"MI_q_proj","Projected mortality improvements in terms of q"]
[]
[null,"Params_sample","Parameters used to specify the sample life expectancies"]
[null,"q_base_proj","Projected mortality rates (using specified base table)","as at 1 January"]
[null,"LE_P","Period life expectancies, using the specified base table","as at 1 January"]
[null,"LE_C","Cohort life expectancies, using the specified base table","as at 1 January"]
[null,"Annuity_P","Period annuities, using the specified assumptions","as at 1 January"]
[null,"Annuity_C","Cohort annuities, using the specified assumptions","as at 1 January"]
[]
[null,"OutputChecks","Showing how rates and improvements have been calculated"]

{"sheet":"OutputChecks","index":9,"n_rows":135,"n_cols":30,"rows_kept":135,"cut":false,"hidden":true,"merged":[]}
[]
["This sheet allows you to check the projection of mortality improvements"]
["Change the green cells and re-calculate to see how a different mortality rate/improvement has been calculated"]
[]
[]
["Age and year to check"]
[]
["Age",null,"x",80]
["Year",null,"t",2030]
[]
[]
[]
["Start year",null,"ts","=Params_fit!$B$11"]
["Age at start year",null,"xs",{"$f":"x+ts-t","v":{"$error":"#VALUE!"}}]
["Low age (for lookups)",null,"x0","=Params_fit!$B$6"]
["Low year (for lookups)",null,"t0","=Params_fit!$B$10"]
["Tolerance for agreement",null,"tolerance",{"$f":"0.00000001","v":1E-8}]
[]
["Check of MI_m(x,t)"]
[null,null,null,"Age-Period","Cohort"]
[]
["Initial rate",null,"Initial","=OFFSET(Params_Proj!$B$2,x-x0,0)","=OFFSET(Params_Proj!$C$2,xs-x0,0)"]
["Initial slope",null,"Slope","=OFFSET(Params_Proj!$H$2,x-x0,0)"]
["Convergence period",null,"Convergence","=OFFSET(Params_Proj!$F$2,x-x0,0)","=OFFSET(Params_Proj!$G$2,xs-x0,0)"]
["Long-term rate",null,"LTR","=OFFSET(Params_Proj!$D$2,x-x0,0)","=OFFSET(Params_Proj!$E$2,xs-x0,0)"]
["Proportion of convergence period",null,"tau",{"$f":"MEDIAN(0,(t-ts)/Convergence,1)","v":{"$error":"#VALUE!"}},{"$f":"MEDIAN(0,(t-ts)/Convergence,1)","v":{"$error":"#VALUE!"}}]
["Projected rate",null,"Projected",{"$f":"LTR+(Initial-LTR)*(1-3*tau^2+2*tau^3)+Slope*(t-ts)*(1-tau)^2","v":{"$error":"#VALUE!"}},{"$f":"LTR+(Initial-LTR)*(1-3*tau^2+2*tau^3)+Slope*(t-ts)*(1-tau)^2","v":{"$error":"#VALUE!"}}]
[]
["Total projected rate",null,"MI_m_xt_calc",{"$f":"SUM(Projected)","v":{"$error":"#VALUE!"}}]
["Lookup",null,"MI_m_xt","=OFFSET(MI_m_proj!$B$2,x-x0,t-t0)"]
["Agrees?",null,"Agrees_MI_m",{"$f":"ABS(MI_m_xt_calc-MI_m_xt)<tolerance","v":{"$error":"#VALUE!"}}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Calculation of 'MI_m' for different years, contributing to log m"]
[]
["Calculation of log m (see to the right)","",null,null,null,null,null,null,null,"i","age","year","logm","MI_m","logm_calc","Agrees_logm",null,"AP_initial","AP_slope","AP_convergence","AP_LTR","AP_tau","AP_projected","Co_initial","Co_slope","Co_convergence","Co_LTR","Co_tau","Co_projected","Total_projected"]
[null,null,null,null,null,null,null,null,null,0,{"$f":"IF(xs+i<=x,x,NA())","v":{"$error":"#VALUE!"}},{"$f":"IF(xs+i<=x,ts+i,NA())","v":{"$error":"#VALUE!"}},"=OFFSET(logm_proj!$B$2,x-x0,year-t0)","=OFFSET(MI_m_proj!$B$2,x-x0,year-t0)",null,null,null,"=OFFSET(Params_Proj!$B$2,age-x0,0)","=OFFSET(Params_Proj!$H$2,age-x0,0)","=OFFSET(Params_Proj!$F$2,age-x0,0)","=OFFSET(Params_Proj!$D$2,age-x0,0)",{"$f":"MEDIAN(0,i/AP_convergence,1)","v":{"$error":"#VALUE!"}},{"$f":"AP_LTR+(AP_initial-AP_LTR)*(1-3*AP_tau^2+2*AP_tau^3)+AP_slope*i*(1-AP_tau)^2","v":{"$error":"#VALUE!"}},"=OFFSET(Params_Proj!$C$2,age-x0-year+ts,0)",{"$f":"0","v":0},"=OFFSET(Params_Proj!$G$2,age-x0-year+ts,0)","=OFFSET(Params_Proj!$E$2,age-x0-year+ts,0)",{"$f":"MEDIAN(0,i/Co_convergence,1)","v":{"$error":"#VALUE!"}},{"$f":"Co_LTR+(Co_initial-Co_LTR)*(1-3*Co_tau^2+2*Co_tau^3)+Co_slope*i*(1-Co_tau)^2","v":{"$error":"#VALUE!"}},{"$f":"AP_projected+Co_projected","v":{"$error":"#VALUE!"}}]
["Calculation of q from log m",null,null,null,null,null,null,null,null,1,{"$error":"#VALUE!"},{"$error":"#VALUE!"},"=OFFSET(logm_proj!$B$2,x-x0,year-t0)","=OFFSET(MI_m_proj!$B$2,x-x0,year-t0)",{"$f":"M35-N36","v":{"$error":"#VALUE!"}},{"$f":"ABS(logm_calc-logm)<tolerance","v":{"$error":"#VALUE!"}},null,"=OFFSET(Params_Proj!$B$2,age-x0,0)","=OFFSET(Params_Proj!$H$2,age-x0,0)","=OFFSET(Params_Proj!$F$2,age-x0,0)","=OFFSET(Params_Proj!$D$2,age-x0,0)",{"$error":"#VALUE!"},{"$error":"#VALUE!"},"=OFFSET(Params_Proj!$C$2,age-x0-year+ts,0)",{"$f":"0","v":0},"=OFFSET(Params_Proj!$G$2,age-x0-year+ts,0)","=OFFSET(Params_Proj!$E$2,age-x0-year+ts,0)",{"$error":"#VALUE!"},{"$error":"#VALUE!"},{"$error":"#VALUE!"}]
[null,null,null,null,null,null,null,null,null,2,{"$error":"#VALUE!"},{"$error":"#VALUE!"},"=OFFSET(logm_proj!$B$2,x-x0,year-t0)","=OFFSET(MI_m_proj!$B$2,x-x0,year-t0)",{"$f":"M36-N37","v":{"$error":"#VALUE!"}},{"$error":"#VALUE!"},null,"=OFFSET(Params_Proj!$B$2,age-x0,0)","=OFFSET(Params_Proj!$H$2,age-x0,0)","=OFFSET(Params_Proj!$F$2,age-x0,0)","=OFFSET(Params_Proj!$D$2,age-x0,0)",{"$error":"#VALUE!"},{"$error":"#VALUE!"},"=OFFSET(Params_Proj!$C$2,age-x0-year+ts,0)",{"$f":"0","v":0},"=OFFSET(Params_Proj!$G$2,age-x0-year+ts,0)","=OFFSET(Params_Proj!$E$2,age-x0-year+ts,0)",{"$error":"#VALUE!"},{"$error":"#VALUE!"},{"$error":"#VALUE!"}]
["Log of central mortality rate",null,"logm_xt","=OFFSET(logm_proj!$B$2,x-x0,t-t0)",null,null,null,null,null,3,{"$error":"#VALUE!"},{"$error":"#VALUE!"},"=OFFSET(logm_proj!$B$2,x-x0,year-t0)","=OFFSET(MI_m_proj!$B$2,x-x0,year-t0)",{"$error":"#VALUE!"},{"$error":"#VALUE!"},null,"=OFFSET(Params_Proj!$B$2,age-x0,0)","=OFFSET(Params_Proj!$H$2,age-x0,0)","=OFFSET(Params_Proj!$F$2,age-x0,0)","=OFFSET(Params_Proj!$D$2,age-x0,0)",{"$error":"#VALUE!"},{"$error":"#VALUE!"},"=OFFSET(Params_Proj!$C$2,age-x0-year+ts,0)",{"$f":"0","v":0},"=OFFSET(Params_Proj!$G$2,age-x0-year+ts,0)","=OFFSET(Params_Proj!$E$2,age-x0-year+ts,0)",{"$error":"#VALUE!"},{"$error":"#VALUE!"},{"$error":"#VALUE!"}]
["Central mortality rate",null,"m_xt",{"$f":"EXP(D38)","v":{"$error":"#VALUE!"}},null,null,null,null,null,4,{"$error":"#VALUE!"},{"$error":"#VALUE!"},"=OFFSET(logm_proj!$B$2,x-x0,year-t0)","=OFFSET(MI_m_proj!$B$2,x-x0,year-t0)",{"$error":"#VALUE!"},{"$error":"#VALUE!"},null,"=OFFSET(Params_Proj!$B$2,age-x0,0)","=OFFSET(Params_Proj!$H$2,age-x0,0)","=OFFSET(Params_Proj!$F$2,age-x0,0)","=OFFSET(Params_Proj!$D$2,age-x0,0)",{"$error":"#VALUE!"},{"$error":"#VALUE!"},"=OFFSET(Params_Proj!$C$2,age-x0-year+ts,0)",{"$f":"0","v":0},"=OFFSET(Params_Proj!$G$2,age-x0-year+ts,0)","=OFFSET(Params_Proj!$E$2,age-x0-year+ts,0)",{"$error":"#VALUE!"},{"$error":"#VALUE!"},{"$error":"#VALUE!"}]
["Mortality rate",null,"q_xt_calc",{"$f":"1-EXP(-m_xt)","v":{"$error":"#VALUE!"}},null,null,null,null,null,5,{"$error":"#VALUE!"},{"$error":"#VALUE!"},"=OFFSET(logm_proj!$B$2,x-x0,year-t0)","=OFFSET(MI_m_proj!$B$2,x-x0,year-t0)",{"$error":"#VALUE!"},{"$error":"#VALUE!"},null,"=OFFSET(Params_Proj!$B$2,age-x0,0)","=OFFSET(Params_Proj!$H$2,age-x0,0)","=OFFSET(Params_Proj!$F$2,age-x0,0)","=OFFSET(Params_Proj!$D$2,age-x0,0)",{"$error":"#VALUE!"},{"$error":"#VALUE!"},"=OFFSET(Params_Proj!$C$2,age-x0-year+ts,0)",{"$f":"0","v":0},"=OFFSET(Params_Proj!$G$2,age-x0-year+ts,0)","=OFFSET(Params_Proj!$E$2,age-x0-year+ts,0)",{"$error":"#VALUE!"},{"$error":"#VALUE!"},{"$error":"#VALUE!"}]
["Lookup mortality rates",null,"q_xt","=OFFSET(q_proj!$B$2,x-x0,t-t0)",null,null,null,null,null,6,{"$error":"#VALUE!"},{"$error":"#VALUE!"},"=OFFSET(logm_proj!$B$2,x-x0,year-t0)","=OFFSET(MI_m_proj!$B$2,x-x0,year-t0)",{"$error":"#VALUE!"},{"$error":"#VALUE!"},null,"=OFFSET(Params_Proj!$B$2,age-x0,0)","=OFFSET(Params_Proj!$H$2,age-x0,0)","=OFFSET(Params_Proj!$F$2,age-x0,0)","=OFFSET(Params_Proj!$D$2,age-x0,0)",{"$error":"#VALUE!"},{"$error":"#VALUE!"},"=OFFSET(Params_Proj!$C$2,age-x0-year+ts,0)",{"$f":"0","v":0},"=OFFSET(Params_Proj!$G$2,age-x0-year+ts,0)","=OFFSET(Params_Proj!$E$2,age-x0-year+ts,0)",{"$error":"#VALUE!"},{"$error":"#VALUE!"},{"$error":"#VALUE!"}]
["Agrees?",null,"Agrees_q_xt",{"$f":"ABS(q_xt_calc-q_xt)<tolerance","v":{"$error":"#VALUE!"}},null,null,null,null,null,7,{"$error":"#VALUE!"},{"$error":"#VALUE!"},"=OFFSET(logm_proj!$B$2,x-x0,year-t0)","=OFFSET(MI_m_proj!$B$2,x-x0,year-t0)",{"$error":"#VALUE!"},{"$error":"#VALUE!"},null,"=OFFSET(Params_Proj!$B$2,age-x0,0)","=OFFSET(Params_Proj!$H$2,age-x0,0)","=OFFSET(Params_Proj!$F$2,age-x0,0)","=OFFSET(Params_Proj!$D$2,age-x0,0)",{"$error":"#VALUE!"},{"$error":"#VALUE!"},"=OFFSET(Params_Proj!$C$2,age-x0-year+ts,0)",{"$f":"0","v":0},"=OFFSET(Params_Proj!$G$2,age-x0-year+ts,0)","=OFFSET(Params_Proj!$E$2,age-x0-year+ts,0)",{"$error":"#VALUE!"},{"$error":"#VALUE!"},{"$error":"#VALUE!"}]
[null,null,null,null,null,null,null,null,null,8,{"$error":"#VALUE!"},{"$error":"#VALUE!"},"=OFFSET(logm_proj!$B$2,x-x0,year-t0)","=OFFSET(MI_m_proj!$B$2,x-x0,year-t0)",{"$error":"#VALUE!"},{"$error":"#VALUE!"},null,"=OFFSET(Params_Proj!$B$2,age-x0,0)","=OFFSET(Params_Proj!$H$2,age-x0,0)","=OFFSET(Params_Proj!$F$2,age-x0,0)","=OFFSET(Params_Proj!$D$2,age-x0,0)",{"$error":"#VALUE!"},{"$error":"#VALUE!"},"=OFFSET(Params_Proj!$C$2,age-x0-year+ts,0)",{"$f":"0","v":0},"=OFFSET(Params_Proj!$G$2,age-x0-year+ts,0)","=OFFSET(Params_Proj!$E$2,age-x0-year+ts,0)",{"$error":"#VALUE!"},{"$error":"#VALUE!"},{"$error":"#VALUE!"}]
[null,null,null,null,null,null,null,null,null,9,{"$error":"#VALUE!"},{"$error":"#VALUE!"},"=OFFSET(logm_proj!$B$2,x-x0,year-t0)","=OFFSET(MI_m_proj!$B$2,x-x0,year-t0)",{"$error":"#VALUE!"},{"$error":"#VALUE!"},null,"=OFFSET(Params_Proj!$B$2,age-x0,0)","=OFFSET(Params_Proj!$H$2,age-x0,0)","=OFFSET(Params_Proj!$F$2,age-x0,0)","=OFFSET(Params_Proj!$D$2,age-x0,0)",{"$error":"#VALUE!"},{"$error":"#VALUE!"},"=OFFSET(Params_Proj!$C$2,age-x0-year+ts,0)",{"$f":"0","v":0},"=OFFSET(Params_Proj!$G$2,age-x0-year+ts,0)","=OFFSET(Params_Proj!$E$2,age-x0-year+ts,0)",{"$error":"#VALUE!"},{"$error":"#VALUE!"},{"$error":"#VALUE!"}]
["Calculation of MI_q from q",null,null,null,null,null,null,null,null,10,{"$error":"#VALUE!"},{"$error":"#VALUE!"},"=OFFSET(logm_proj!$B$2,x-x0,year-t0)","=OFFSET(MI_m_proj!$B$2,x-x0,year-t0)",{"$error":"#VALUE!"},{"$error":"#VALUE!"},null,"=OFFSET(Params_Proj!$B$2,age-x0,0)","=OFFSET(Params_Proj!$H$2,age-x0,0)","=OFFSET(Params_Proj!$F$2,age-x0,0)","=OFFSET(Params_Proj!$D$2,age-x0,0)",{"$error":"#VALUE!"},{"$error":"#VALUE!"},"=OFFSET(Params_Proj!$C$2,age-x0-year+ts,0)",{"$f":"0","v":0},"=OFFSET(Params_Proj!$G$2,age-x0-year+ts,0)","=OFFSET(Params_Proj!$E$2,age-x0-year+ts,0)",{"$error":"#VALUE!"},{"$error":"#VALUE!"},{"$error":"#VALUE!"}]
[null,null,null,null,null,null,null,null,null,11,{"$error":"#VALUE!"},{"$error":"#VALUE!"},"=OFFSET(logm_proj!$B$2,x-x0,year-t0)","=OFFSET(MI_m_proj!$B$2,x-x0,year-t0)",{"$error":"#VALUE!"},{"$error":"#VALUE!"},null,"=OFFSET(Params_Proj!$B$2,age-x0,0)","=OFFSET(Params_Proj!$H$2,age-x0,0)","=OFFSET(Params_Proj!$F$2,age-x0,0)","=OFFSET(Params_Proj!$D$2,age-x0,0)",{"$error":"#VALUE!"},{"$error":"#VALUE!"},"=OFFSET(Params_Proj!$C$2,age-x0-year+ts,0)",{"$f":"0","v":0},"=OFFSET(Params_Proj!$G$2,age-x0-year+ts,0)","=OFFSET(Params_Proj!$E$2,age-x0-year+ts,0)",{"$error":"#VALUE!"},{"$error":"#VALUE!"},{"$error":"#VALUE!"}]
["Previous mortality rate",null,"q_xt_previous","=OFFSET(q_proj!$B$2,x-x0,t-1-t0)",null,null,null,null,null,12,{"$error":"#VALUE!"},{"$error":"#VALUE!"},"=OFFSET(logm_proj!$B$2,x-x0,year-t0)","=OFFSET(MI_m_proj!$B$2,x-x0,year-t0)",{"$error":"#VALUE!"},{"$error":"#VALUE!"},null,"=OFFSET(Params_Proj!$B$2,age-x0,0)","=OFFSET(Params_Proj!$H$2,age-x0,0)","=OFFSET(Params_Proj!$F$2,age-x0,0)","=OFFSET(Params_Proj!$D$2,age-x0,0)",{"$error":"#VALUE!"},{"$error":"#VALUE!"},"=OFFSET(Params_Proj!$C$2,age-x0-year+ts,0)",{"$f":"0","v":0},"=OFFSET(Params_Proj!$G$2,age-x0-year+ts,0)","=OFFSET(Params_Proj!$E$2,age-x0-year+ts,0)",{"$error":"#VALUE!"},{"$error":"#VALUE!"},{"$error":"#VALUE!"}]
["Mortality improvement",null,"MI_q_xt_calc",{"$f":"1-q_xt/q_xt_previous","v":{"$error":"#VALUE!"}},null,null,null,null,null,13,{"$error":"#VALUE!"},{"$error":"#VALUE!"},"=OFFSET(logm_proj!$B$2,x-x0,year-t0)","=OFFSET(MI_m_proj!$B$2,x-x0,year-t0)",{"$error":"#VALUE!"},{"$error":"#VALUE!"},null,"=OFFSET(Params_Proj!$B$2,age-x0,0)","=OFFSET(Params_Proj!$H$2,age-x0,0)","=OFFSET(Params_Proj!$F$2,age-x0,0)","=OFFSET(Params_Proj!$D$2,age-x0,0)",{"$error":"#VALUE!"},{"$error":"#VALUE!"},"=OFFSET(Params_Proj!$C$2,age-x0-year+ts,0)",{"$f":"0","v":0},"=OFFSET(Params_Proj!$G$2,age-x0-year+ts,0)","=OFFSET(Params_Proj!$E$2,age-x0-year+ts,0)",{"$error":"#VALUE!"},{"$error":"#VALUE!"},{"$error":"#VALUE!"}]
["Lookup mortality improvement",null,"MI_q_xt","=OFFSET(MI_q_proj!$B$2,x-x0,t-t0)",null,null,null,null,null,14,{"$error":"#VALUE!"},{"$error":"#VALUE!"},"=OFFSET(logm_proj!$B$2,x-x0,year-t0)","=OFFSET(MI_m_proj!$B$2,x-x0,year-t0)",{"$error":"#VALUE!"},{"$error":"#VALUE!"},null,"=OFFSET(Params_Proj!$B$2,age-x0,0)","=OFFSET(Params_Proj!$H$2,age-x0,0)","=OFFSET(Params_Proj!$F$2,age-x0,0)","=OFFSET(Params_Proj!$D$2,age-x0,0)",{"$error":"#VALUE!"},{"$error":"#VALUE!"},"=OFFSET(Params_Proj!$C$2,age-x0-year+ts,0)",{"$f":"0","v":0},"=OFFSET(Params_Proj!$G$2,age-x0-year+ts,0)","=OFFSET(Params_Proj!$E$2,age-x0-year+ts,0)",{"$error":"#VALUE!"},{"$error":"#VALUE!"},{"$error":"#VALUE!"}]
["Agrees?",null,"Agrees_MI_q",{"$f":"ABS(MI_q_xt_calc-MI_q_xt)<tolerance","v":{"$error":"#VALUE!"}},null,null,null,null,null,15,{"$error":"#VALUE!"},{"$error":"#VALUE!"},"=OFFSET(logm_proj!$B$2,x-x0,year-t0)","=OFFSET(MI_m_proj!$B$2,x-x0,year-t0)",{"$error":"#VALUE!"},{"$error":"#VALUE!"},null,"=OFFSET(Params_Proj!$B$2,age-x0,0)","=OFFSET(Params_Proj!$H$2,age-x0,0)","=OFFSET(Params_Proj!$F$2,age-x0,0)","=OFFSET(Params_Proj!$D$2,age-x0,0)",{"$error":"#VALUE!"},{"$error":"#VALUE!"},"=OFFSET(Params_Proj!$C$2,age-x0-year+ts,0)",{"$f":"0","v":0},"=OFFSET(Params_Proj!$G$2,age-x0-year+ts,0)","=OFFSET(Params_Proj!$E$2,age-x0-year+ts,0)",{"$error":"#VALUE!"},{"$error":"#VALUE!"},{"$error":"#VALUE!"}]
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["Name","CMI_2009_M_Dth"]
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[]
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{"sheet":"CMI_2010_M_Exp","index":15,"n_rows":103,"n_cols":56,"rows_kept":103,"cut":false,"hidden":false,"merged":[]}
["Name","CMI_2010_M_Exp"]
["Timestamp"]
["Description","Data used for CMI_2010"]
["Description2"]
["Description3"]
["DownloadUrl"]
["DownloadDate"]
["Attribution"]
["Spare1"]
["Spare2"]
["Sex","M"]
["Type","Exp"]
["MinAge",18]
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["MinYear",1961]
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[]
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{"sheet":"CMI_2010_F_Exp","index":17,"n_rows":103,"n_cols":56,"rows_kept":103,"cut":false,"hidden":false,"merged":[]}
["Name","CMI_2010_F_Exp"]
["Timestamp"]
["Description","Data used for CMI_2010"]
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[]
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["Name","CMI_2010_F_Dth"]
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["Type","Exp"]
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["MaxAge",102]
["MinYear",1961]
["MaxYear",2015]
[]
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["Name","CMI_2011_M_Dth"]
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["Description","Data used for CMI_2011"]
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["Name","CMI_2011_F_Exp"]
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{"sheet":"CMI_2011_F_Dth","index":22,"n_rows":103,"n_cols":56,"rows_kept":103,"cut":false,"hidden":false,"merged":[]}
["Name","CMI_2011_F_Dth"]
["Timestamp"]
["Description","Data used for CMI_2011"]
["Description2"]
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["DownloadUrl"]
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["Spare1"]
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["Sex","F"]
["Type","Dth"]
["MinAge",18]
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["MinYear",1961]
["MaxYear",2015]
[]
[null,1961,1962,1963,1964,1965,1966,1967,1968,1969,1970,1971,1972,1973,1974,1975,1976,1977,1978,1979,1980,1981,1982,1983,1984,1985,1986,1987,1988,1989,1990,1991,1992,1993,1994,1995,1996,1997,1998,1999,2000,2001,2002,2003,2004,2005,2006,2007,2008,2009,2010,2011,2012,2013,2014,2015]
[18,129,144,138,141,160,143,166,132,131,129,122,135,140,133,139,156,115,163,159,168,168,115,140,108,111,138,134,125,139,99,94,104,82,74,82,90,91,97,90,118,86,86,83,87,90,91,85,90,80,76]
[19,140,126,128,167,172,207,160,142,151,146,145,144,156,128,125,126,113,133,132,129,122,137,146,121,121,134,120,120,130,115,119,108,98,91,92,99,87,92,86,107,77,99,98,113,94,88,81,94,79,80]
[20,112,137,125,161,137,159,156,162,138,179,146,153,136,151,136,131,136,149,120,144,136,147,136,131,131,138,128,137,114,108,112,120,120,84,84,97,84,88,93,101,92,84,92,89,96,88,75,86,86,75]
[21,132,134,140,153,149,125,146,158,154,163,143,141,154,138,133,138,125,124,125,122,117,131,133,128,127,120,118,131,132,134,116,127,116,106,101,108,103,80,105,88,104,97,90,98,85,83,99,94,93,59]
[22,168,147,126,127,144,152,131,135,189,167,171,160,142,118,139,134,144,153,131,126,134,136,108,120,128,150,116,116,123,122,141,121,105,114,108,90,96,101,110,98,96,87,108,95,94,88,89,92,74,68]
[23,159,149,142,132,144,153,159,148,152,193,153,165,143,137,142,123,162,143,135,154,145,113,107,124,127,153,134,134,137,115,145,122,103,110,107,111,92,96,73,105,92,97,103,114,107,86,83,92,94,95]
[24,175,144,119,132,142,153,163,137,177,147,174,164,165,144,161,145,135,141,124,150,110,145,113,118,117,113,143,132,144,137,130,125,134,113,121,111,128,101,103,112,88,102,92,98,96,99,107,94,82,97]
[25,154,168,162,167,162,147,141,163,144,160,150,182,191,136,164,152,146,144,130,125,119,146,141,141,114,128,142,134,143,141,140,131,125,117,117,136,125,137,95,116,100,103,98,110,106,107,88,98,111,97]
[26,163,175,155,159,156,167,137,140,159,177,142,158,178,190,191,156,131,152,157,143,148,134,142,142,135,137,138,133,124,161,143,137,159,135,133,146,119,123,129,116,128,105,123,115,114,128,113,120,109,102]
[27,130,157,165,163,164,167,156,155,158,146,164,154,181,176,162,186,155,174,148,174,150,135,136,147,115,136,136,150,126,152,160,124,184,153,190,157,119,142,129,136,126,108,112,103,128,110,94,111,108,126]
[28,162,175,160,173,187,200,172,164,192,149,160,163,157,150,214,185,159,191,169,139,152,142,139,143,151,137,141,140,161,160,162,176,174,141,152,169,131,152,178,140,124,118,134,116,112,129,116,120,131,140]
[29,195,204,215,204,182,172,178,171,152,164,160,186,185,175,186,203,195,198,189,172,149,145,147,157,134,157,160,139,177,159,148,172,154,179,161,165,186,163,139,156,154,142,155,132,127,111,132,137,142,112]
[30,220,235,200,202,206,182,187,188,176,183,159,178,159,195,193,190,204,217,204,190,174,175,155,141,173,179,159,154,160,156,160,157,189,183,184,192,170,195,186,174,152,153,176,167,127,133,130,134,135,156]
[31,241,251,215,192,189,202,218,198,172,187,191,139,175,167,214,205,166,242,193,198,204,186,172,162,184,169,183,204,190,179,166,196,197,195,177,182,213,198,181,195,197,196,174,169,152,129,126,140,147,132]
[32,269,265,283,244,205,202,199,215,254,201,221,193,207,188,172,196,243,224,241,214,192,227,189,174,182,183,197,183,178,196,215,206,209,227,231,236,203,190,190,195,216,201,193,186,181,140,165,171,147,162]
[33,281,264,282,264,243,242,215,231,196,222,240,216,205,193,215,241,218,232,246,279,247,223,202,225,194,190,223,179,201,192,200,205,189,230,250,239,214,245,238,227,210,216,210,204,207,193,179,198,159,158]
[34,295,298,307,272,273,300,240,245,253,213,249,235,238,215,210,225,253,268,261,227,286,268,232,244,201,230,229,254,218,206,235,218,228,212,247,260,231,223,242,247,258,255,261,234,227,202,217,216,206,164]
[35,318,344,330,294,312,312,294,277,279,233,238,271,254,278,257,216,240,253,256,270,267,312,288,261,274,233,240,259,236,237,231,256,216,248,271,262,283,265,269,286,315,251,249,257,214,234,236,215,219,209]
[36,356,387,384,312,325,314,330,277,293,272,281,300,262,301,265,294,263,251,279,289,274,299,328,269,296,250,270,252,268,263,234,253,269,270,234,302,303,280,301,316,309,276,285,277,269,265,229,224,221,248]
[37,437,409,383,386,385,374,339,351,316,311,343,316,302,344,308,326,282,292,275,308,294,288,284,328,308,292,312,313,293,286,275,268,270,289,268,283,315,300,301,300,301,300,288,309,308,289,276,289,269,295]
[38,493,502,495,452,448,405,385,402,395,377,338,338,322,309,350,317,343,335,311,334,329,313,356,323,390,376,301,330,303,300,294,289,258,287,317,336,322,325,302,334,350,340,359,364,316,308,311,325,307,312]
[39,580,556,545,453,509,451,461,433,446,430,385,384,376,352,371,323,359,379,352,304,287,364,352,386,360,432,415,354,335,345,331,328,313,337,340,328,355,340,352,343,354,364,359,372,359,370,355,358,323,299]
[40,649,588,544,557,568,540,508,497,479,500,492,430,441,438,379,405,383,398,422,345,357,369,342,368,400,407,474,442,396,355,342,370,357,378,358,354,356,375,366,394,369,376,420,374,395,387,422,393,406,361]
[41,758,724,652,595,637,542,546,539,579,545,514,513,494,456,485,448,420,446,382,440,380,382,363,384,411,398,419,553,453,451,371,379,436,407,404,397,360,426,420,418,414,378,419,430,396,417,441,440,411,428]
[42,590,815,819,780,742,686,626,638,697,580,564,594,609,532,495,510,511,507,482,438,479,398,398,405,439,467,436,482,545,536,468,486,443,438,424,433,425,395,459,459,424,446,447,452,485,462,476,472,436,434]
[43,643,643,884,890,783,792,727,704,743,704,665,638,630,600,578,559,524,539,500,514,500,456,460,450,443,482,519,505,524,557,509,470,508,487,464,494,485,449,484,492,535,497,501,488,502,514,523,532,494,491]
[44,749,681,689,994,930,819,816,776,838,763,708,728,672,681,692,643,558,604,609,529,575,527,537,484,482,497,511,535,572,545,648,618,541,538,562,483,530,550,519,511,487,539,557,532,561,556,518,563,563,545]
[45,884,814,732,719,1030,1037,927,920,837,853,832,850,847,759,722,734,673,611,638,605,618,573,611,573,553,555,562,584,585,607,608,693,691,637,614,566,546,561,561,541,548,571,551,563,537,594,614,597,633,566]
[46,1058,926,912,844,881,1133,1122,1009,986,953,950,914,906,853,813,811,774,731,766,677,675,634,614,634,572,626,598,615,569,631,638,666,756,752,680,634,597,586,591,630,614,643,623,640,571,573,599,675,630,615]
[47,1176,1178,1114,996,887,922,1230,1205,1199,1152,1121,1032,1025,1058,906,919,880,869,777,722,760,711,713,686,715,669,677,634,648,683,719,685,717,853,781,720,760,640,663,680,642,664,704,688,660,665,666,659,651,681]
[48,1284,1247,1263,1083,1017,975,930,1344,1335,1338,1205,1139,1138,1104,1075,1014,1032,987,979,862,823,799,784,739,777,713,739,759,701,724,758,735,733,768,909,817,818,740,758,695,709,754,723,696,757,762,746,727,698,719]
[49,1299,1364,1515,1390,1249,1179,1036,1092,1530,1424,1380,1390,1278,1247,1225,1201,1114,1094,1045,1026,944,922,864,858,847,849,805,755,782,711,740,752,763,809,872,921,882,881,822,806,787,785,770,717,794,748,729,744,755,770]
[50,1456,1463,1452,1482,1457,1431,1243,1099,1224,1620,1521,1552,1431,1407,1348,1372,1174,1229,1184,1109,1094,1029,957,865,908,903,893,851,867,856,748,808,907,913,925,949,1054,1035,1002,919,916,823,872,855,832,855,840,907,844,797]
[51,1602,1533,1548,1484,1504,1565,1382,1341,1193,1299,1710,1797,1520,1506,1519,1399,1406,1431,1312,1193,1191,1081,1035,1043,953,958,941,952,962,928,927,795,887,875,1040,1038,991,1181,1073,975,984,896,919,908,878,840,861,939,760,902]
[52,1826,1746,1779,1657,1735,1721,1644,1557,1528,1365,1478,1913,1865,1730,1646,1572,1483,1442,1444,1262,1260,1293,1261,1140,1132,1040,1107,992,1025,996,1024,980,954,922,1043,1045,1085,1066,1222,1234,1093,1018,1014,877,982,967,869,915,945,998]
[53,1974,1917,1852,1869,1838,1857,1819,1782,1770,1536,1425,1537,2052,1953,1777,1781,1607,1701,1638,1598,1470,1387,1444,1307,1208,1185,1165,1131,1086,1064,1057,1079,1044,1043,1052,1090,1130,1119,1077,1355,1198,1170,1128,1047,1020,1022,1026,961,995,1008]
[54,2035,2037,2073,2065,1979,2069,1995,2071,2000,1752,1652,1562,1549,2211,2022,2003,1786,1816,1888,1703,1678,1561,1503,1498,1446,1263,1287,1175,1181,1137,1150,1143,1150,1106,1071,1061,1192,1268,1230,1273,1493,1365,1250,1148,1144,1073,1122,1167,1088,1102]
[55,2037,2128,2183,2040,2135,2117,1991,2068,2215,2122,1928,1827,1637,1676,2340,2254,2183,1995,1980,1787,1890,1762,1706,1599,1639,1538,1399,1364,1380,1283,1322,1218,1248,1193,1274,1168,1153,1294,1302,1339,1302,1530,1518,1264,1252,1186,1215,1178,1170,1106]
[56,2312,2359,2419,2355,2200,2326,2304,2295,2441,2272,2181,2153,1960,1725,1856,2521,2462,2268,2108,2074,1962,1936,1818,1799,1809,1726,1701,1531,1508,1425,1387,1322,1332,1288,1368,1262,1200,1245,1340,1429,1410,1440,1657,1531,1429,1409,1290,1230,1269,1242]
[57,2576,2517,2554,2408,2587,2526,2381,2501,2523,2566,2515,2568,2185,2175,1832,2001,2687,2677,2470,2358,2261,2140,2038,2040,1930,1755,1763,1767,1704,1638,1429,1530,1518,1438,1418,1492,1438,1346,1393,1481,1515,1534,1411,1760,1708,1456,1448,1345,1308,1373]
[58,2718,2809,2744,2702,2794,2772,2748,2794,2818,2629,2726,2837,2698,2501,2237,2048,2061,2911,2899,2620,2371,2345,2347,2259,2185,2107,2050,1975,1791,1801,1606,1636,1633,1463,1607,1617,1575,1535,1419,1460,1546,1560,1617,1570,1856,1699,1590,1499,1445,1478]
[59,2898,2949,3078,2903,2969,2964,2952,2945,3065,2943,2859,2938,2911,2889,2646,2428,2145,2274,3082,3124,2784,2671,2538,2482,2442,2344,2224,2185,2183,2042,1944,1794,1821,1710,1686,1733,1715,1704,1678,1547,1579,1639,1782,1687,1672,2039,1832,1803,1672,1545]
[60,3242,3149,3207,3182,3109,3100,3108,3292,3355,3360,3125,3212,3175,3248,3031,2842,2563,2342,2522,3366,3304,3125,2911,2757,2774,2623,2564,2328,2401,2314,2273,2074,2006,1833,1830,1837,1928,1864,1902,1774,1632,1730,1871,1858,1719,1735,2124,2055,1818,1761]
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[62,3695,4048,4013,3604,3710,3798,3623,3765,3877,3861,3718,3722,3637,3725,3638,3776,3529,3302,3097,2749,2805,3912,3726,3514,3506,3203,3141,3135,2875,2755,2610,2624,2619,2336,2226,2171,2213,2158,2134,2069,2029,2013,1830,1913,2035,2100,1996,2047,2390,2219]
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{"sheet":"CMI_2012_M_Exp","index":23,"n_rows":103,"n_cols":56,"rows_kept":103,"cut":false,"hidden":false,"merged":[]}
["Name","CMI_2012_M_Exp"]
["Timestamp"]
["Description","Data used for CMI_2012"]
["Description2"]
["Description3"]
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["Spare1"]
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["Sex","M"]
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[]
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["Name","CMI_2012_M_Dth"]
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{"sheet":"CMI_2012_F_Exp","index":25,"n_rows":103,"n_cols":56,"rows_kept":103,"cut":false,"hidden":false,"merged":[]}
["Name","CMI_2012_F_Exp"]
["Timestamp"]
["Description","Data used for CMI_2012"]
["Description2"]
["Description3"]
["DownloadUrl"]
["DownloadDate"]
["Attribution"]
["Spare1"]
["Spare2"]
["Sex","F"]
["Type","Exp"]
["MinAge",18]
["MaxAge",102]
["MinYear",1961]
["MaxYear",2015]
[]
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{"sheet":"CMI_2013_M_Exp","index":27,"n_rows":103,"n_cols":56,"rows_kept":103,"cut":false,"hidden":false,"merged":[]}
["Name","CMI_2013_M_Exp"]
["Timestamp"]
["Description","Data used for CMI_2013"]
["Description2"]
["Description3"]
["DownloadUrl"]
["DownloadDate"]
["Attribution"]
["Spare1"]
["Spare2"]
["Sex","M"]
["Type","Exp"]
["MinAge",18]
["MaxAge",102]
["MinYear",1961]
["MaxYear",2015]
[]
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["MaxYear",2015]
[]
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{"sheet":"CMI_2014_F_Exp","index":33,"n_rows":103,"n_cols":56,"rows_kept":103,"cut":false,"hidden":false,"merged":[]}
["Name","CMI_2014_F_Exp"]
["Timestamp"]
["Description","Data used for CMI_2014 - before exposure adjustment"]
["Description2"]
["Description3"]
["DownloadUrl"]
["DownloadDate"]
["Attribution"]
["Spare1"]
["Spare2"]
["Sex","F"]
["Type","Exp"]
["MinAge",18]
["MaxAge",102]
["MinYear",1961]
["MaxYear",2015]
[]
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["Name","CMI_2014_F_Dth"]
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["Description","Data used for CMI_2014 - before exposure adjustment"]
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["Name","CMI_2015_M_Exp"]
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["Description","Data used for CMI_2015 - before exposure adjustment"]
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{"sheet":"CMI_2015_F_Exp","index":37,"n_rows":103,"n_cols":56,"rows_kept":103,"cut":false,"hidden":false,"merged":[]}
["Name","CMI_2015_F_Exp"]
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["Description","Data used for CMI_2015 - before exposure adjustment"]
["Description2"]
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["DownloadUrl"]
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["Spare1"]
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["Sex","F"]
["Type","Exp"]
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["Name","CMI_2015_F_Dth"]
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["Core convergence assumptions - copied to Inputs sheet by macro when needed"]
[]
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{"sheet":"CMI_2016EarlyEst_M_Exp","index":40,"n_rows":103,"n_cols":57,"rows_kept":103,"cut":false,"hidden":false,"merged":[]}
["Name","CMI_2016EarlyEst_M_Exp"]
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{"sheet":"CMI_2016EarlyEst_M_Dth","index":41,"n_rows":103,"n_cols":57,"rows_kept":103,"cut":false,"hidden":false,"merged":[]}
["Name","CMI_2016EarlyEst_M_Dth"]
["Timestamp"]
["Description","Data for early estimate of CMI 2016"]
["Description2"]
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