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[null,"© Harry D. Saunders, 2018"]
[null,null,"Return to Base Case"]
[]
[null,null,"User Guide"]
[]
[null,null,"Open-Source Protocol"]
[null,null,"Although I have attached a copyright to this file, it is merely for the purpose of requesting acknowledgment from"]
[null,null,"          any users who may publish results derived from using it (or modifications thereof)."]
[null,null,"But this model itself is offered as an open-source resource for anyone to use, modify, improve, or employ to audit results and equations reported in the article"]
[null,null,"          \"Further toward a neoclassical theory of sustainable consumption: The eco-economy\" and accompanying Appendices."]
[null,null,"Users are encouraged to try to \"break\" the model, and provide corrections/enhancements that advance its purpose."]
[null,null,"No worksheets or regions are password-protected; nor will be any Visual Basic code I may add in the future."]
[null,null,"          An ancillary request is that any such improvements be sent to the author to build a repository of this open-source collaboration."]
[null,null,"Email:","hsaunders@earthlink.net "]
[null,null,"Of course, the application itself, Microsoft Excel® is the property of Microsoft Corporation."]
[]
[null,null,"General"]
[null,null,"This is designed as an \"emulation model,\" one used for theoretical exploration of the eco-economy space."]
[null,null,"Links at the top of each tab (including this one) allow one-click navigation around the workbook:"]
[null,null,"       * these links take you immediately to Inputs, Outputs, and Calculation sections,"]
[null,null,"         and back and forth among Cases you devise, and back-and-forth to this User Guide"]
[null,null,"         (Depending on your screen resolution, you may need to zoom out to see the input arrays on each tab displayed conveniently.)"]
[null,null,"There are three active tabs in this workbook: one labeled \"Base Case\"; one  labeled \"Test Case 1\"; and the third labeled \"Dummy tab.\""]
[null,null,"       * The \"Dummy tab\" is there to allow you to create other various cases, as explained below."]
[null,null,"Throughout the model, the protocol is that white cells can be changed at will while colored cells contain calculations that should not be overwritten."]
[null,null,"The Base Case tab contains inputs and outputs reflecting a zero-population growth paradigm with no technology gains,"]
[null,null,"          and contains results reported for this case in the accompanying article \"Further toward a neoclassical theory of sustainable consumption:"]
[null,null,"          The eco-economy.\""]
[null,null,"The Test Case 1 tab allows the user to modify any inputs relative to the Base Case to observe the effects."]
[null,null,"Other test cases (e.g., \"Test Case 2,\" \"Test Case 3,\" … \"Test Case n\") can be created by copying the \"Dummy\" tab and re-labeling the new tab."]
[null,null,"The Base Case can be used as a fixed reference for undertaking explorations related to changing model assumptions on the Test tabs."]
[null,null,"       * it is advisable to make no changes to the Base Case tab so as to allow ready comparison to the scenario you are examining on the Test tabs."]
[null,null,"       * as a fail-safe, the Base Case inputs are recorded separately on each tab, in cells CV6:DI16, if you need to recover these."]
[null,null,"               (these arrays can be copied and pasted directly onto the corresponding arrays in the active inputs - all are values, not formulas.)"]
[null,null,"The mathematical formulas used in the model (select cell and look at the formula bar) can be found in the accompanying article,"]
[null,null,"          \"Toward a neoclassical theory of sustainableconsumption: eight Golden Age propositions\" and accompanying Appendices,"]
[null,null,"          if you'd like to see their rationale(s)."]
[null,null,"As you generate test cases, it's a good idea to color the inputs you've changed in yellow (say);"]
[null,null,"             this helps you quickly compare to the Base Case and to other test cases and is a reminder of what you are testing."]
[]
[null,null,"Layout"]
[null,null,"At the top of each tab in the section lableled \"Inputs\" are where input assumptions can be changed in the white cells:"]
[null,null,"Inputs - parameters [use link at top of the tab to navigate here]"]
[null,null,"       * in the brown region are the utility function parameters for the Cobb-Douglas utility function reported in the article."]
[null,null,"              - [white cells in rows 12:13 are inputs you may sometimes need that allow you to change the exponents of the utility function dynamically;"]
[null,null,"                 this feature is used to replicate a consumption \"satisficing\" condition as described in the article. "]
[null,null,"                For any set of inputs you choose elsewhere in the model, you can do a \"goal search\" (described below)"]
[null,null,"                to find values that result in a fixed consumption level.]"]
[null,null,"       * in the dark green region are the production function parameters for the CES (Solow)-type production function reported in the article,"]
[null,null,"                including factor-augmenting technology gains, various factor substitution elasticities, and a waste production parameter"]
[null,null,"       * the light blue region contains the two exogenous inputs, workforce (population) growth rate and capital depreciation rate."]
[null,null,"       * inputs in the dark blue region below this allow you to change the initial capital and labor conditions:"]
[null,null,"           -  the multiplier values chosen multiply initial capital and labor (which are otherwise set to a golden age condition)."]
[null,null,"           -  Selecting the checkbox activates the corresponding multiplier."]
[null,null,"       * in the light green region are the natural capital production function parameters as reported in the article:"]
[null,null,"           -  the parameters relate to natural capital absorption and replenisment behavior; also Ricardian rent from natural capital"]
[]
[null,null,"Inputs - initial conditions  [use link at top of the tab to navigate here]"]
[null,null,"While you are unlikely to need it, other inputs you can change (initial conditions) are found in this section."]
[null,null,"In the Human Economy dark green region are inputs related to starting capital and labor quantities, the initial state of the non-resource sector of the economy,"]
[null,null,"   and the initial state of various factor-augmenting technology- parameters."]
[null,null,"        * these technology parameters will normally be set to unity except for the resource efficiency multiplier, tR0,"]
[null,null,"               which has been set to a value that normalizes all outputs for the Base Case."]
[null,null,"       * likewise set here are the initial values of capital stock, KX, and labor LX, going to the non-resource sector, X,"]
[null,null,"               and the initial value of the contribution of the non-resource sector, X (all white cells)."]
[null,null,"       * also, the initial value of the unit cost function."]
[null,null,"In this region you will also see multiple colored cells, which calculate other initial conditions, both primal and dual,"]
[null,null,"               calculated to be internally consistent with all the inputs entered."]
[null,null,"Finally, in the blue section below this, you enter the initial value of the labor force available:"]
[null,null,"               (you can think of this as total person-hours theoretically available in the economy);"]
[null,null,"               This number will be greater than the \"initial labor employed\" showing below this; "]
[null,null,"               the difference must account for any initial unemployed workers, leisure time chosen by households against labor supplied,  "]
[null,null,"               and the simple fact that all workers need time to eat, sleep, etc."]
[]
[null,null,"Outputs"]
[null,null,"At the top of the tab are two links to calculated outputs: \"Outputs - numeric\" and \"Outputs -graphics\""]
[null,null,"       * the \"Outputs - numeric\" section provides calculated values for all the key parameters."]
[null,null,"               This includes initial values, final values, and growth rates."]
[null,null,"               To the right of these is a series of calculations designated \"Golden Rule Conditions\":"]
[null,null,"                    these conditions are those specified by Edmund Phelps as those required for \"golden rule\" behavior."]
[null,null,"               At the bottom of this section are calculations of resource \"rebound\" and \"backfire\" measures."]
[null,null,"                   [Note that it is possible to have a resource \"backfire\" condition by Period 11, even while natural capital grows; "]
[null,null,"                   this can occur if resource use efficiency gains are sufficient to reduce resource use in early periods (less than 100% rebound),"]
[null,null,"                   which allows natural capital to initially increase, bringing along with it increased replenishment and waste absorption."]
[null,null,"                   (This can be seen by looking at a test case where the only change from the base case"]
[null,null,"                   is introduction of a 1% \"R Efficiency\" technology gain.) ]"]
[null,null,"       * The main point is you can change any of the inputs and instantly see their effect on these outputs."]
[]
[null,null,"       * Clicking on the \"Outputs - graphics\" link takes you to summary figures that may inform your judgment."]
[null,null,"               These are intended to show you how your input choices affect key outputs:"]
[null,null,"               The first of these shows the final (period 100) values of the elements of the household utility function."]
[null,null,"                -  to the right are two charts showing the time evolution (sometimes useful to \"zoom in\" on the early period)"]
[null,null,"                -  Remember that these values are physical quantities."]
[null,null,"               The second below this shows the final (period 100) values of the quantities associated with production."]
[null,null,"                -  to the right are two charts showing the time evolution (sometimes useful to \"zoom in\" on the early period)"]
[null,null,"                -  Remember that these values are physical quantities."]
[null,null,"               The third below this shows the final (period 100) values of the dual prices associated with production"]
[null,null,null,"(which also affect households via the budget constraint)."]
[null,null,"                -  to the right are two charts showing the time evolution (sometimes useful to \"zoom in\" on the early period)"]
[null,null,"                -  Remember that these values are unit prices."]
[null,null,"               The final charts below this shows the final (period 100) values of the quantities associated with the natural economy."]
[null,null,"                -  to the right are two charts showing the time evolution (sometimes useful to \"zoom in\" on the early period)"]
[null,null,"                -  Remember that these values are physical quantities."]
[]
[null,null,"Calculations"]
[null,null,"At the top of the tab is a link to \"Calculations\""]
[null,null,"       * this section contains all the year-by-year calculations based on the inputs entered."]
[null,null,"       * the equations employed here can all be found in the accompanying article,"]
[null,null,"          \"Further toward a neoclassical theory of sustainable consumption: The eco-economy\" and accompanying Appendices"]
[null,null,"       * links among variables can be traced here to see the logic."]
[null,null,"       * note that there are no hidden \"modeling tricks\" used; all formulas are simply a pure instantiation of the neoclassical mathematics."]
[null,null,"       * when exploring model behavior under different input conditions it is often useful to look at the results in this section"]
[null,null,"                   to answer questions like \"why does it do that when I do this\"?"]
[null,null,"                   ...and to track down how variables interact with each other when the pure neoclassical mathematical formalism is honored."]
[]
[null,null,"Mimicking Satiation and other Conditions you Wish to Emulate"]
[null,null,"Suppose you want to emulate what happens when, say, household consumption reaches a satiation level."]
[null,null,"Whatever the inputs you have chosen, you'll typically sene on-zero secular trends in the outputs."]
[null,null,"Once you have these, you can expore various ways to force various parameters to any desired/interesting outcome."]
[null,null,"       * for example,click the \"Outputs - numeric\" link and look at the light blue cells to the right."]
[null,null,"       * (you can replicate these cells elsewhere, but these ones allow you to play with the household utility components.)"]
[null,null,"       * these light blue cells contain formulas designed to assist in using Excel's \"Goal seek\" feature."]
[null,null,"              (in Excel 2010, menu item Data/What-If Analysis/Goal seek…)"]
[null,null,"       * these cells take the difference between the period 100 value and the period 1 value (multiplied by a large number for greater\" Goal seek\" precision)."]
[null,null,"       * to force consumption satiation, I follow the following procedure:"]
[null,null,"           -  select the light blue cell associated with Consumption growth."]
[null,null,"           -  invoke the Goal seek feature."]
[null,null,"           -  enter the value you wish the output cell to take in the \"To value:\" field (i.e., zero)."]
[null,null,"           -  then select the \"By changing cell\" field and select the input you want to change."]
[null,null,"           -  for this emulation, you first select the cell in the \"Input parameters - Human Economy\" section, light brown cell \"Gamma rate of change.\""]
[null,null,"           -  click OK"]
[null,null,"           -  this will stabilize consumption at a fixed level; but you'll notice savings growth rate typically becomes non-zero."]
[null,null,"           -  to correct this, you need to do another Goal seek, but this time using a different \"By changing cell\" selection."]
[null,null,"           -  this time, select for \"By changing cell\" the light brown cell \"Nu rate of change.\""]
[null,null,"           -  toggle back and forth between these two Goal seek searches until both consumption and savings rate of change are (near) zero."]
[null,null,"           -  when this is complete, you have a valid consumption satiation condition (where savings rate of change is likewise zero,"]
[null,null,"                  i.e., satiated given the household budget)."]
[]
[null,null,"Crazy Results - #NUM! etc."]
[null,null,"Sometimes you will enter a combination of inputs that deliver #NUM! in the  \"Outputs - numeric\" section;"]
[null,null,"   this will show in the \"Outputs - graphics\" section as output value trajectories collapsing to zero at some point along the trajectory."]
[null,null,"This is an indication that your eco-economy has collapsed, often because natural capital has fallen below its critical level."]
[]
[null,null,"Insights Generation"]
[null,null,"It is a safe prediction that, in playing with the emulation model, you will find counter-intuitive results."]
[null,null,"This can be explained in two ways:"]
[null,null,"       * you have discovered a flaw in the model (please tell me!)."]
[null,null,"       * there is a new insight lurking there that deserves ferreting out and reporting."]
[null,null,"Either way, I encourage you to dive deeply into the model mechanics to discover why it reports the results showing.  An open mind here is an asset."]
[]
[null,null,"Further Questions"]
[null,null,"Contact Harry Saunders with any further questions:"]
[null,null,"hsaunders@earthlink.net "]

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[null,"© Harry D. Saunders, 2018"]
[null,null,"Link to User Guide",null,"Return to Base Case",null,null,null,"Inputs - parameters",null,"Inputs - init. cond's",null,"Outputs - numeric",null,"Outputs - graphics",null,"Calculations"]
[]
[null,null,"Inputs - parameters"]
[]
[null,null,null,"HUMAN ECONOMY Household Utility Function Parameters"]
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[]
[null,null,null,null,null,"Gamma rate of change",0,"%/period",null,null,null,"Pi rate of change",0,"%/period"]
[null,null,null,null,null,null,null,"Nu rate of change",0,"%/period",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Gamma rate of change",0,"%/period",null,null,null,"Pi rate of change",0,"%/period"]
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[]
[null,null,null,"HUMAN ECONOMY Production Function Parameters",null,null,null,null,null,null,null,"Human Economy Growth Inputs",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Initial Conditions Flag"]
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[null,null,null,null,"lKx","lLx","lXR","lKr","lLr",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"substitution elasticity",null,null,null,"d",0.25,"Capital depreciation rate",null,null,null,null,null,"LX0",{"$f":"DN27/(1+DN27)","v":0.82350521314988401},{"$f":"DN20","v":0.82350521314988401},{"$f":"L_multiplier*DN20","v":0.411752606574942},{"$f":"L_multiplier*DN20","v":0.411752606574942},4,null,null,"Initial conditions flag",{"$f":"IF(AND(Initial_K_multiplier=FALSE,Initial_L_multiplier=FALSE),1,IF( AND(Initial_K_multiplier=TRUE,Initial_L_multiplier=FALSE),2,IF(AND(Initial_K_multiplier=FALSE,Initial_L_multiplier=TRUE),3,4)))","v":1}]
[null,null,null,null,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"lKx","lLx","lXR","lKr","lLr",null,null,null,null,null,null,null,null,null,null,"KR0",{"$f":"1-DN19","v":0.17649478685011599},{"$f":"K_multiplier*DN21","v":0.26474218027517399},{"$f":"DN21","v":0.17649478685011599},{"$f":"K_multiplier*DN21","v":0.26474218027517399},5]
[null,null,null,"Tech gains:","capital X","labor X","R efficiency","capital R","labor R",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,"LR0",{"$f":"1-DN20","v":0.17649478685011599},{"$f":"DN22","v":0.17649478685011599},{"$f":"L_multiplier*DN22","v":8.8247393425057996E-2},{"$f":"L_multiplier*DN22","v":8.8247393425057996E-2},6]
[null,null,null,null,"e",null,"lW",null,null,null,null,"Initial Conditions Adjustors",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Tech gains:","capital X","labor X","R efficiency","capital R","labor R",null,null,null,null,null,null,null,null,null,null,"X0",{"$f":"(H47*DN19)^alpha*(H48*DN20)^(1-alpha)","v":0.82350521314988412},{"$f":"(H47*DO19)^alpha*(H48*DO20)^(1-alpha)","v":0.91135833017193613},{"$f":"(H47*DP19)^alpha*(H48*DP20)^(1-alpha)","v":0.4896591293598373},{"$f":"(H47*DQ19)^alpha*(H48*DQ20)^(1-alpha)","v":0.5418969052787328},7]
[null,null,null,null,0.1,null,0,null,null,null,null,null,"Initial K multiplier",1.5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"e",null,"lW",null,null,null,null,"Initial Conditions Adjustors",null,null,null,null,null,null,null,"Rs0",{"$f":"(1/tRbase)*(H46*H49*DN21)^beta*(H46*H50*DN22)^(1-beta)","v":2.0608560023563265},{"$f":"(1/tRbase)*(H46*H49*DO21)^beta*(H46*H50*DO22)^(1-beta)","v":2.2807120769136295},{"$f":"(1/tRbase)*(H46*H49*DP21)^beta*(H46*H50*DP22)^(1-beta)","v":1.225392310499104},{"$f":"(1/tRbase)*(H46*H49*DQ21)^beta*(H46*H50*DQ22)^(1-beta)","v":1.3561195145691607},8]
[null,null,null,null,"waste production",null,"waste improvement",null,null,null,null,null,"Initial L multiplier",0.5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0.1,null,0,null,null,null,null,null,"Initial K multiplier",1.5,null,null,null,null,null,"R0",{"$f":"(1/tRbase)*(H49*DN21)^beta*(H50*DN22)^(1-beta)","v":0.17649478685011602},{"$f":"(1/tRbase)*(H49*DO21)^beta*(H50*DO22)^(1-beta)","v":0.19532358952838549},{"$f":"(1/tRbase)*(H49*DP21)^beta*(H50*DP22)^(1-beta)","v":0.10494442814152331},{"$f":"(1/tRbase)*(H49*DQ21)^beta*(H50*DQ22)^(1-beta)","v":0.11614010119751349},9]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"waste production",null,"waste improvement",null,null,null,null,null,"Initial L multiplier",0.5,null,null,null,null,null,"KX0/KR0",{"$f":"(â/b˄)*(alpha/beta)*(R46/R47)*(N47/N47)*(R47/R46)^(1/(1-rho))","v":4.665889728795368},{"$f":"DO19/DO21","v":4.665889728795368},4.665889728795368,4.665889728795368,10]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"LX0/LR0",{"$f":"((1-alpha)/(1-beta))*(beta/alpha)*DN26","v":4.665889728795368},4.665889728795368,4.665889728795368,4.665889728795368,11]
[null,null,null,"NATURAL ECONOMY Production Function 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,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"KX0/LX0",{"$f":"1/(((1-alpha)/alpha)*(N47/N48))","v":1},{"$f":"DO19/DO20","v":1.5},{"$f":"DP19/DP20","v":2},{"$f":"DQ19/DQ20","v":3},12]
[null,null,null,null,"x",null,null,"z",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"NATURAL ECONOMY Production Function Parameters",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Rreference",{"$f":"(H49*DN21)^beta*(H50*DN22)^(1-beta)","v":0.17649478685011602},{"$f":"(H49*DO21)^beta*(H50*DO22)^(1-beta)","v":0.19532358952838549},{"$f":"(H49*DP21)^beta*(H50*DP22)^(1-beta)","v":0.10494442814152331},{"$f":"(H49*DQ21)^beta*(H50*DQ22)^(1-beta)","v":0.11614010119751349},13]
[null,null,null,null,1.1766319528100096E-2,null,null,0.1209685013951559,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"x",null,null,"z"]
[null,null,null,null,"absorptive capacity multiplier",null,null,"replenishment capacity multiplier",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,1.1766319528100096E-2,null,null,0.1209685013951559]
[null,null,null,null,"(fraction of natural capital capacity)",null,null,"(fraction of natural capital capacity)",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"absorptive capacity multiplier",null,null,"replenishment capacity multiplier"]
[null,null,null,null,"fA",null,null,"fR",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"(fraction of natural capital capacity)",null,null,"(fraction of natural capital capacity)"]
[null,null,null,null,19.094683435333646,null,null,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,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"fA",null,null,"fR"]
[null,null,null,null,"Absorption curve shaping factor",null,null,"Replenishment curve shaping factor",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,19.094683435333646,null,null,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,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Absorption curve shaping factor",null,null,"Replenishment curve shaping factor"]
[null,null,null,"ϴ",0.2,"Ricardian Resource supply curve shaping factor"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"ϴ",0.2,"Ricardian Resource supply curve shaping factor"]
[]
[null,null,"Inputs - initial conditions"]
[]
[null,null,null,"Human Economy"]
[null,null,null,null,"Primal (Production)",null,null,null,null,null,null,null,"Dual (Cost)",null,null,null,null,null,null,null,"Welfare"]
[null,null,null,null,null,null,"LX-1",0.82350521314988412,"KX-1",0.82350521314988412]
[null,null,null,null,"Y-1",1,null,null,"X-1",0.82350521314988412,null,null,"c-1",1]
[null,null,null,null,"Y0",{"$f":"(a*J46^rho+(1-a)*J47^rho)^(1/rho)","v":0.99999999999997513},"tXR0",11.676582856276992,"X0",{"$f":"HLOOKUP(Initial_conditions_flag,$DN$17:$DQ$37,DR23)","v":0.82350521314988412},null,null,"c0",{"$f":"(â*R46^(rho/(rho-1))+b˄*R47^(rho/(rho-1)))^((rho-1)/rho)","v":1.0000000000000369},"share, KX",{"$f":"N47*F47","v":0.20587630328747347},"Xc",{"$f":"((N47/H47)^alpha)*((N48/H48)^(1-alpha))","v":0.56987676423870126},null,null,"u0",{"$f":"û*V49^gamma*V50^nu*V51^omega*V52^pi","v":0.99999999999999989},null,"u0/worker",{"$f":"V46/$F$58","v":0.99999999999999989}]
[null,null,null,null,"KX0",{"$f":"HLOOKUP(Initial_conditions_flag,$DN$17:$DQ$37,DR19)","v":0.82350521314988401},"tKX0",1,"Rs0",{"$f":"HLOOKUP(Initial_conditions_flag,$DN$17:$DQ$37,DR24)","v":2.0608560023563265},null,null,"pk0",{"$f":"N45*a*alpha*(J45/J44)*(F45/J45)^(1-rho)","v":0.250000000000003},"share, LX",{"$f":"N48*F48","v":0.61762890986242036},"Rc",{"$f":"((N47/(H46*H49))^beta)*((N48/(H46*H50))^(1-beta))","v":4.8805097454719115E-2},null,null,"Wmax",{"$f":"N48*(Ł0)+N47*(F47+F49)","v":2.2500000000000275},null,"Budget0/worker",{"$f":"V48/$F$58","v":1.000000000000012}]
[null,null,null,null,"LX0",{"$f":"HLOOKUP(Initial_conditions_flag,$DN$17:$DQ$37,DR20)","v":0.82350521314988401},"tLX0",1,"R0",{"$f":"HLOOKUP(Initial_conditions_flag,$DN$17:$DQ$37,DR25)","v":0.17649478685011602},null,null,"pL0",{"$f":"N45*a*(1-alpha)*(J45/H44)*(F45/J45)^(1-rho)","v":0.75000000000000899},"share, KR",{"$f":"N47*F49","v":4.4123696712529525E-2},null,null,null,null,"Budget0",{"$f":"N48*(F48+F50)+N47*(F47+F49)","v":1.000000000000012},null,"C0/worker",{"$f":"V49/$F$58","v":0.74999999999998146}]
[null,null,null,null,"KR0",{"$f":"HLOOKUP(Initial_conditions_flag,$DN$17:$DQ$37,DR21)","v":0.17649478685011599},"tKR0",1,null,null,null,null,null,null,"share, LR",{"$f":"N48*F50","v":0.13237109013758858},null,null,null,null,"C0",{"$f":"(gamma/(1-pi))*V47/N46","v":0.74999999999998146},null,"S0/worker",{"$f":"V50/$F$58","v":0.24999999999999384}]
[null,null,null,null,"LR0",{"$f":"HLOOKUP(Initial_conditions_flag,$DN$17:$DQ$37,DR22)","v":0.17649478685011599},"tLR0",1,"KX0/KR0",{"$f":"HLOOKUP(Initial_conditions_flag,$DN$17:$DQ$37,DR26)","v":4.665889728795368},null,null,"pR0",{"$f":"(N47/$H$49)^beta*(N48/$H$50)^(1-beta)*beta^beta*(1-beta)^(1-beta)","v":0.32475952641916844},null,null,null,null,null,null,"S0",{"$f":"(nu/(1-pi))*V47/N46","v":0.24999999999999384},null,"l0/worker",{"$f":"V51/$F$58","v":1.6666666666666674}]
[null,null,null,null,null,null,null,null,"LX0/LR0",{"$f":"HLOOKUP(Initial_conditions_flag,$DN$17:$DQ$37,DR27)","v":4.665889728795368},null,null,null,null,null,null,"â",{"$f":"a^(1/(1-rho))*(alpha^alpha*(1-alpha)^(1-alpha))^(rho/(1-rho))","v":0.98863855734358319},null,null,"l0",{"$f":"Ł0-(F48+F50)","v":1.6666666666666674},null,"N0/worker",{"$f":"V52/$F$58","v":1}]
[null,null,null,null,"W",{"$f":"epsilon*J48","v":1.7649478685011603E-2},null,null,"KX0/LX0",{"$f":"HLOOKUP(Initial_conditions_flag,$DN$17:$DQ$37,DR28)","v":1},null,null,null,null,null,null,"b˄",{"$f":"(1-a)^(1/(1-rho))*(beta^beta*(1-beta)^(1-beta))^(rho/(1-rho))","v":0.47095639364105413},null,null,"N0",{"$f":"F71","v":1}]
[]
[]
[null,null,null,null,"Initial Labor Force & Employment",null,null,null,null,null,null,null,"Checks:"]
[null,null,null,null,null,null,null,null,null,null,null,null,"pk0",{"$f":"N46*a*alpha*J46/F47*(F46/J46)^(1-rho)","v":0.25000000000000305},null,"pk0",{"$f":"N46*(1-a)*beta*(J47/F49)*(F46/J47)^(1-rho)","v":0.25000000000000311}]
[null,null,null,null,"Ł0",2.6666666666666674,"Initial labor force",null,null,null,null,null,"pL0",{"$f":"N46*a*(1-alpha)*(J46/F48)*(F46/J46)^(1-rho)","v":0.75000000000000921},null,"pL0",{"$f":"N46*(1-a)*(1-beta)*(J47/F50)*(F46/J47)^(1-rho)","v":0.75000000000000944}]
[null,null,null,null,"L0",{"$f":"Ł0-V51","v":1},"Initial labor employed"]
[]
[]
[]
[null,null,null,null,"Initial Shadow Price (Lagrange multiplier)"]
[]
[null,null,null,null,null,{"$f":"û*(gamma/N48)*((gamma/(1-pi))*(V47/N46))^pi*(V52^pi)","v":0.37698959433260953},"Houshold budget constraint"]
[]
[]
[null,null,null,"Natural Economy"]
[null,null,null,null,"Natural Capital",null,null,null,null,null,null,null,"Natural Capital - Base Conditions"]
[]
[null,null,null,null,"N-1",1,"Pre-existing Stock of Natural Capital",null,null,null,null,null,"N-1",1,"Pre-existing Stock of Natural Capital"]
[null,null,null,null,"N0",1,"Initial Stock of Natural Capital",null,null,null,null,null,"N0",1,"Steady-state Natural Capital Equilibrium Value"]
[null,null,null,null,"Ncapacity",1.5,"Maximum Capacity (Stock) of Natural Capital",null,null,null,null,null,"Ncapacity",1.5,"Maximum Capacity (Stock) of Natural Capital"]
[null,null,null,null,"Ncritical",0.1,"Critical Threshold for Natural Capital",null,null,null,null,null,"Ncritical",0.1,"Critical Threshold for Natural Capital"]
[]
[null,null,null,null,"cN",1,"Natural capital unit cost function",null,null,null,null,null,"cN",1,"Natural capital unit cost function"]
[]
[null,null,null,null,"R0",{"$f":"zeta*Ncapacity*(1-EXP(-psi_Replen*(F71-Ncritical)))","v":0.17649478745725461},"Replenishment",null,null,null,null,null,"R0",0.1764947868501161,"Replenishment",null,null,"ϴ",{"$f":"theta","v":0.2},"Ricardian supply curve shaping factor"]
[null,null,null,null,"R0",{"$f":"J48","v":0.17649478685011602},"Raw Resource Use",null,null,null,null,null,"Rreference",0.17649478685011602,"\"Resources\" (w/o tR)",null,null,"kbase",{"$f":"1/(N75+(1/S77)*LN((N72-N73)/(1-N73)))","v":0.31160765680753116}]
[null,null,null,null,"A0",{"$f":"MIN(xi*Ncapacity,F80)*(1-EXP(-psi_A*(F71-Ncritical)))","v":1.7649478077873069E-2},"Absorption",null,null,null,null,null,"A0",3.5298957370023205E-2,"Absorption",null,null,"tRbase",{"$f":"kbase*(cN+(1/theta)*LN((N72-N73)/(N71-N73)))","v":0.99999999999999989}]
[null,null,null,null,"W0",{"$f":"epsilon*F78","v":1.7649478685011603E-2},"Waste Production",null,null,null,null,null,"W0",3.5298957370023205E-2,"Waste Production"]
[]
[]
[]
[null,null,"Outputs - Numeric"]
[]
[null,null,null,"Period 1 Value","Period 100 Value","Growth rate, period 1 to 100","Growth rate, period 95 to 100",null,"Per Worker, period 1","Per Person, period 1","Per Worker, period 100","Per Person, period 100",null,"Golden Rule Condi-tions ",null,null,null,"Search Targets"]
[null,null,"Household Welfare"]
[null,null,"u (utility)",{"$f":"D265","v":0.99999999999999989},{"$f":"CY265","v":0.99999999999999833},{"$f":"CZ265","v":-1.5700123580557781E-17},{"$f":"DA265","v":-3.3306690738754726E-16},null,{"$f":"D88/$D$221","v":0.99999999999999989},{"$f":"E88/$D$220","v":0.37499999999999928},{"$f":"E88/$CY$221","v":0.99999999999999833},{"$f":"E88/$CY$220","v":0.37499999999999928},null,{"$f":"E90/E94","v":0.25000000000000017},"Savings rate",null,null,{"$f":"(E88-D88)*10^6","v":-1.5543122344752192E-9}]
[null,null,"C (consumption)",{"$f":"D271","v":0.74999999999998146},{"$f":"CY271","v":0.74999999999997757},-5.270755773472979E-17,-5.3290705182007581E-16,null,{"$f":"D89/$D$221","v":0.74999999999998146},{"$f":"E89/$D$220","v":0.28124999999999151},{"$f":"E89/$CY$221","v":0.74999999999997757},{"$f":"E89/$CY$220","v":0.28124999999999151},null,{"$f":"(E103/E102)*E95/E94","v":0.25000000000000011},"\"Golden Rule\" savings rate",null,null,{"$f":"(E89-D89)*10^6","v":-3.8857805861880479E-9}]
[null,null,"S (savings)",{"$f":"D272","v":0.24999999999999384},0.24999999999999256,-5.158612033611852E-17,-5.3290705182007581E-16,null,{"$f":"D90/$D$221","v":0.24999999999999384},{"$f":"E90/$D$220","v":9.3749999999997183E-2},{"$f":"E90/$CY$221","v":0.24999999999999256},{"$f":"E90/$CY$220","v":9.3749999999997183E-2},null,null,null,null,null,-1.27675647831893E-9,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"F89*10^9","v":-5.2707557734729791E-8}]
[null,null,"l (leisure)",{"$f":"D273","v":1.6666666666666674},1.6666666666666674,0,4.4408920985006258E-17,null,{"$f":"D91/$D$221","v":1.6666666666666674},{"$f":"E91/$D$220","v":0.62500000000000011},{"$f":"E91/$CY$221","v":1.6666666666666674},{"$f":"E91/$CY$220","v":0.62500000000000011},null,{"$f":"(E103/E102)-d","v":-4.9960036108132044E-16},"Real \"social\" return ",null,null,0]
[null,null,"N (natural  capital)",{"$f":"D300","v":1},{"$f":"CY300","v":1.0000000000000056},{"$f":"CZ300","v":5.6071869930563305E-17},{"$f":"DA300","v":-1.2878587085651857E-15},null,{"$f":"D92/$D$221","v":1},{"$f":"E92/$D$220","v":0.375000000000002},{"$f":"E92/$CY$221","v":1.0000000000000056},{"$f":"E92/$CY$220","v":0.375000000000002},null,{"$f":"G94","v":-6.2172489379008861E-16},"Real output growth rate",null,null,5.5511151231257827E-9]
[null,null,"Producers -Primal"]
[null,null,"Y (value-added output)",{"$f":"D232","v":0.99999999999997513},{"$f":"CY232","v":0.99999999999996958},{"$f":"CZ232","v":-5.6071869930563625E-17},{"$f":"DA232","v":-6.2172489379008861E-16},null,{"$f":"D94/$D$221","v":0.99999999999997513},{"$f":"E94/$D$220","v":0.37499999999998851},{"$f":"E94/$CY$221","v":0.99999999999996958},{"$f":"E94/$CY$220","v":0.37499999999998851},null,{"$f":"E119","v":0.74999999999997735},"Consume your wages",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Y (value-added output)",{"$f":"D94","v":0.99999999999997513},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,7.8469733551375764E-2]
[null,null,"K (capital/wealth)",{"$f":"D223","v":1},{"$f":"CY223","v":0.99999999999997202},{"$f":"CZ223","v":-2.8260222445004379E-16},{"$f":"DA223","v":-3.5527136788005041E-16},null,1,0.3749999999999894,0.99999999999997202,0.3749999999999894,null,{"$f":"E120","v":0.24999999999999251},"Invest your returns",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"K (capital/wealth)",{"$f":"D95","v":1},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"F94*10^9","v":-5.6071869930563626E-8}]
[null,null,"L (employed labor force)",{"$f":"D221","v":1},{"$f":"CY221","v":1},{"$f":"CZ221","v":0},{"$f":"DA221","v":-4.4408920985006264E-17},null,1,0.37499999999999989,1,0.37499999999999989,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"L (employed labor force)",1]
[null,null,"Ł (available labor force)",{"$f":"D220","v":2.6666666666666674},{"$f":"CY220","v":2.6666666666666674},{"$f":"CZ220","v":0},{"$f":"DA220","v":0},null,2.6666666666666674,1,2.6666666666666674,1,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"I (investment)",{"$f":"D98","v":0.24999999999999384}]
[null,null,"I (investment)",{"$f":"D222","v":0.24999999999999384},{"$f":"CY222","v":0.24999999999999262},{"$f":"CZ222","v":-4.9343245538895967E-17},{"$f":"DA222","v":-5.7731597280508231E-16},null,0.24999999999999384,9.3749999999997211E-2,0.24999999999999262,9.3749999999997211E-2,{"$f":"E98/E95","v":0.24999999999999961},"Investment fraction",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"R (raw resource use)",{"$f":"D99","v":0.17649478685011602}]
[null,null,"R (raw resource use)",{"$f":"D315","v":0.17649478685011602},{"$f":"CY315","v":0.17649478685011621},{"$f":"CZ315","v":1.1214373986112686E-17},{"$f":"DA315","v":-2.0428103653102985E-15},null,0.17649478685011602,6.6185545068793566E-2,0.17649478685011621,6.6185545068793566E-2,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"W (waste produced)",{"$f":"D100","v":1.7649478685011603E-2}]
[null,null,"W (waste produced)",{"$f":"D306","v":1.7649478685011603E-2},{"$f":"CY306","v":1.7649478685011655E-2},{"$f":"CZ306","v":2.9157372363892954E-17},{"$f":"DA306","v":-2.3092638912203387E-15},null,1.7649478685011603E-2,6.6185545068793688E-3,1.7649478685011655E-2,6.6185545068793688E-3]
[null,null,"Producers -Dual"]
[null,null,"c (unit cost/price of value-added output)",{"$f":"D211","v":1.0000000000000369},{"$f":"CY211","v":1.0000000000000329},-4.0371746350005774E-17,1.3322676295501876E-16,null,{"$f":"D102/$D$221","v":1.0000000000000369},{"$f":"E102/$D$220","v":0.37500000000001221},{"$f":"E102/$CY$221","v":1.0000000000000329},{"$f":"E102/$CY$220","v":0.37500000000001221}]
[null,null,"r=pK (price/cost of capital)",{"$f":"D212","v":0.250000000000003},0.25000000000000772,1.9064435776391399E-16,-1.3322676295501883E-16,null,{"$f":"D103/$D$221","v":0.250000000000003},{"$f":"E103/$D$220","v":9.3750000000002873E-2},{"$f":"E103/$CY$221","v":0.25000000000000772},{"$f":"E103/$CY$220","v":9.3750000000002873E-2},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"-F102+F105","v":-5.3828995133341288E-17}]
[null,null,"r-d (net return to capital)",{"$f":"D215","v":2.9976021664879227E-15},{"$f":"CY215","v":7.716050021144838E-15},{"$f":"CZ215","v":9.5504028946102881E-3},{"$f":"DA215","v":-4.2706248941137889E-3},null,{"$f":"D104/$D$221","v":2.9976021664879227E-15},{"$f":"E104/$D$220","v":2.8935187579293134E-15},{"$f":"E104/$CY$221","v":7.716050021144838E-15},{"$f":"E104/$CY$220","v":2.8935187579293134E-15}]
[null,null,"w=pL (price/cost of labor)",{"$f":"D213","v":0.75000000000000899},{"$f":"CY213","v":0.750000000000002},-9.4200741483347062E-17,-4.4408920985006311E-16,null,{"$f":"D105/$D$221","v":0.75000000000000899},{"$f":"E105/$D$220","v":0.28125000000000067},{"$f":"E105/$CY$221","v":0.750000000000002},{"$f":"E105/$CY$220","v":0.28125000000000067}]
[null,null,"pR (price/cost of raw resources)",{"$f":"D214","v":0.32475952641916844},{"$f":"CY214","v":0.32475952641916406},{"$f":"CZ214","v":-1.3681536263057578E-16},{"$f":"DA214","v":2.2648549702353066E-15},null,{"$f":"D106/$D$221","v":0.32475952641916844},{"$f":"E106/$D$220","v":0.12178482240718649},{"$f":"E106/$CY$221","v":0.32475952641916406},{"$f":"E106/$CY$220","v":0.12178482240718649}]
[null,null,"Natural Economy"]
[null,null,"N (natural  capital)",{"$f":"D300","v":1},{"$f":"CY300","v":1.0000000000000056},{"$f":"CZ300","v":5.6071869930563305E-17},{"$f":"DA300","v":-1.2878587085651857E-15},null,{"$f":"D108/$D$221","v":1},{"$f":"E108/$D$220","v":0.375000000000002},{"$f":"E108/$CY$221","v":1.0000000000000056},{"$f":"E108/$CY$220","v":0.375000000000002}]
[null,null,"*R* (natural  capital replenishment)",{"$f":"E302","v":0.17649478745725461},{"$f":"CY302","v":0.17649478745725472},{"$f":"CZ302","v":6.7286243916676133E-18},{"$f":"DA302","v":-1.7763568394002513E-16},null,{"$f":"D109/$D$221","v":0.17649478745725461},{"$f":"E109/$D$220","v":6.6185545296470499E-2},{"$f":"E109/$CY$221","v":0.17649478745725472},{"$f":"E109/$CY$220","v":6.6185545296470499E-2}]
[null,null,"R (raw resource use)",{"$f":"D99","v":0.17649478685011602},{"$f":"E99","v":0.17649478685011621},{"$f":"F99","v":1.1214373986112686E-17},{"$f":"G99","v":-2.0428103653102985E-15},null,{"$f":"D110/$D$221","v":0.17649478685011602},{"$f":"E110/$D$220","v":6.6185545068793566E-2},{"$f":"K99","v":0.17649478685011621},{"$f":"L99","v":6.6185545068793566E-2}]
[null,null,"A (natural  capital absorption of waste)",{"$f":"D305","v":1.7649478685011589E-2},{"$f":"CY305","v":1.7649478685011589E-2},{"$f":"CZ305","v":0},{"$f":"DA305","v":0},null,{"$f":"D111/$D$221","v":1.7649478685011589E-2},{"$f":"E111/$D$220","v":6.6185545068793436E-3},{"$f":"E111/$CY$221","v":1.7649478685011589E-2},{"$f":"E111/$CY$220","v":6.6185545068793436E-3}]
[null,null,"W (waste produced)",{"$f":"D100","v":1.7649478685011603E-2},{"$f":"E100","v":1.7649478685011655E-2},{"$f":"F100","v":2.9157372363892954E-17},{"$f":"G100","v":-2.3092638912203387E-15},null,{"$f":"D112/$D$221","v":1.7649478685011603E-2},{"$f":"E112/$D$220","v":6.6185545068793688E-3},{"$f":"K100","v":1.7649478685011655E-2},{"$f":"L100","v":6.6185545068793688E-3}]
[null,null,"Household Earnings (wages and investment returns)"]
[null,null,"E (Earnings/Income)",{"$f":"D266","v":1.000000000000012},{"$f":"CY266","v":1.0000000000000027},{"$f":"CZ266","v":-9.4200741483347062E-17},{"$f":"DA266","v":-4.8849813083506951E-16},null,{"$f":"D114/$D$221","v":1.000000000000012},{"$f":"E114/$D$220","v":0.37500000000000089},{"$f":"E114/$CY$221","v":1.0000000000000027},{"$f":"E114/$CY$220","v":0.37500000000000089}]
[null,null,"wL (wages)",{"$f":"D105*D96","v":0.75000000000000899},{"$f":"E105*E96","v":0.750000000000002},{"$f":"F105*F96","v":0},{"$f":"G105*G96","v":1.9721522630525318E-32},null,0.75000000000000899,0.28125000000000067,0.750000000000002,0.28125000000000067]
[null,null,"rK (returns)",{"$f":"D103*D95","v":0.250000000000003},{"$f":"E103*E95","v":0.25000000000000072},{"$f":"F103*F95","v":-5.3876519582932073E-32},{"$f":"G103*G95","v":4.7331654313260767E-32},null,0.250000000000003,9.375000000000025E-2,0.25000000000000072,9.375000000000025E-2]
[null,null,"Household Budget",{"$f":"D269","v":1.000000000000012},{"$f":"CY269","v":1.0000000000000027},{"$f":"CZ269","v":-9.4200741483347062E-17},{"$f":"DA269","v":-4.8849813083506951E-16},null,1.000000000000012,0.37500000000000089,1.0000000000000027,0.37500000000000089]
[null,null,"E/c (real earnings/income)",{"$f":"D275","v":0.99999999999997513},{"$f":"CY275","v":0.9999999999999698},{"$f":"CZ275","v":-5.3828995133341066E-17},{"$f":"DA275","v":-6.2172489379008861E-16},null,0.99999999999997513,0.37499999999998856,0.9999999999999698,0.37499999999998856,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"G94","v":-6.2172489379008861E-16}]
[null,null,"wL/c (real wages)",{"$f":"D115/$D$102","v":0.74999999999998135},{"$f":"E115/$E$102","v":0.74999999999997735},0,1.972152263052459E-32,null,0.74999999999998135,0.28124999999999145,0.74999999999997735,0.28124999999999145]
[null,null,"rK/c (real returns)",0.24999999999999378,{"$f":"E116/$E$102","v":0.24999999999999251},-5.3876519582930092E-32,4.7331654313259021E-32,null,0.24999999999999378,9.3749999999997169E-2,0.24999999999999251,9.3749999999997169E-2]
[null,null,"cC (consumption, monetary terms)",{"$f":"D89*D102","v":0.7500000000000091},{"$f":"E89*E102","v":0.75000000000000222},{"$f":"CZ271","v":-5.270755773472979E-17},{"$f":"DA271","v":-5.3290705182007581E-16},null,0.7500000000000091,0.28125000000000078,0.75000000000000222,0.28125000000000078]
[null,null," Shadow price of Budget Constraint",{"$f":"D296","v":0.37698959433260953},{"$f":"CY296","v":0.37698959433261303},{"$f":"CZ296","v":9.4200741483346174E-17},{"$f":"DA296","v":2.6645352591003741E-16},null,0.37698959433260953,0.14137109787472985,0.37698959433261303,0.14137109787472985]
[null,null,"Marginal Utilities and Prices"]
[null,null,"Marginal utility of Consumption",{"$f":"D$122*D$102","v":0.37698959433262341},{"$f":"E$122*E$102","v":0.37698959433262541}]
[null,null,"Marginal utility of Savings",{"$f":"D$122*D$102","v":0.37698959433262341},{"$f":"E$122*E$102","v":0.37698959433262541}]
[null,null,"Marginal utility of Leisure",{"$f":"D$122*D$105","v":0.28274219574946052},{"$f":"E$122*E$105","v":0.28274219574946052}]
[null,null,"Marginal utility of Natural Capital",{"$f":"pi*D$88/D$108","v":9.9999999999999992E-2},{"$f":"pi*E$88/E$108","v":9.9999999999999284E-2}]
[null,null,"Resource Rebound"]
[null,null,"Rs (resource services)",{"$f":"D314","v":2.0608560023563265},{"$f":"CY314","v":2.0608560023563292},{"$f":"CZ314","v":1.3457248783335223E-17},{"$f":"DA314","v":-1.9761969838327886E-15},null,null,"Relative to Period 1"]
[null,null,"Ractual (actual raw resource use)",{"$f":"D99","v":0.17649478685011602},{"$f":"E99","v":0.17649478685011621},{"$f":"F99","v":1.1214373986112686E-17},{"$f":"G99","v":-2.0428103653102985E-15},null,null,"Period 10","Period 100"]
[null,null,"R0 (zero rebound inferred from Leontief production)",{"$f":"D316","v":0.17649478685011602},{"$f":"CY316","v":0.17649478685011602},0,0,null,"Rebound",{"$f":"IF((M317-M316)=0,\"N/A\",1-(M317-M315)/(M317-M316))","v":"N/A"},{"$f":"IF((E132-E131)=0,\"N/A\",1-(E132-E130)/(E132-E131))","v":"N/A"}]
[null,null,"R100 (100% rebound)",{"$f":"D317","v":0.17649478685011602},0.17649478685011602,0,0,null,"Backfire",{"$f":"IF(M315>M317,\"Backfire\",\"N/A\")","v":"Backfire"},{"$f":"IF(E99>E132,\"Backfire\",\"N/A\")","v":"N/A"}]
[]
[]
[]
[]
[]
[null,null,"Outputs - Graphic"]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[null,null,"Calculations"]
[]
[null,null,null,"Initial Technologies",null,null,"tKx","tLx","tR","tKr","tLr",null,"tR","tW"]
[null,null,null,null,null,null,{"$f":"EXP(lambdaKx)","v":1},{"$f":"EXP(lambdaLx)","v":1},{"$f":"EXP(lambdaR)","v":1},{"$f":"EXP(lambdaKr)","v":1},{"$f":"EXP(lambdaLr)","v":1},null,{"$f":"tRbase","v":0.99999999999999989},{"$f":"EXP(lambdaW)","v":1}]
[]
[null,null,"Dual-side Calculations"]
[null,null,"Unit Price Measures",1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,"Growth,\n1-100","Growth,\n95-100"]
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[]
[null,null,"Primal-side Calculations"]
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[null,null,"LR",{"$f":"F50","v":0.17649478685011599},{"$f":"(1/(1+E321))*E221","v":0.1764947868501163},0.17649478680046782,0.176494786748319,0.17649478670797403,0.17649478668094298,0.17649478666602725,0.17649478666118085,0.17649478666429366,0.17649478667339305,0.17649478668672727,0.1764947867027912,0.17649478672033164,0.17649478673833682,0.17649478675601951,0.17649478677279409,0.17649478678825112,0.17649478680213063,0.17649478681429659,0.17649478682471206,0.17649478683341607,0.17649478684050407,0.17649478684611034,0.17649478685039319,0.17649478685352252,0.17649478685567105,0.17649478685700615,0.17649478685768499,0.17649478685785092,0.17649478685763129,0.17649478685713613,0.17649478685645847,0.17649478685567491,{"$f":"(1/(1+AK321))*AK221","v":0.17649478685484651},0.17649478685402065,0.17649478685323208,0.17649478685250514,0.17649478685185541,0.17649478685129111,0.1764947868508146,0.17649478685042436,0.17649478685011519,0.17649478684987976,0.17649478684970998,0.17649478684959655,0.17649478684953046,0.17649478684950276,0.17649478684950509,0.17649478684953046,0.17649478684957193,0.17649478684962402,0.17649478684968217,0.17649478684974257,0.1764947868498023,0.17649478684985936,0.17649478684991193,0.17649478684995928,0.17649478685000067,0.17649478685003614,0.1764947868500657,0.17649478685008974,0.17649478685010847,0.17649478685012276,0.17649478685013292,0.17649478685013992,{"$f":"(1/(1+BQ321))*BQ221","v":0.17649478685014397},0.17649478685014577,0.17649478685014591,0.17649478685014464,0.17649478685014244,0.17649478685013972,0.1764947868501367,0.17649478685013351,0.17649478685013037,0.17649478685012737,0.17649478685012468,0.17649478685012238,0.17649478685012024,0.17649478685011838,0.17649478685011699,0.17649478685011583,0.17649478685011494,0.17649478685011433,0.17649478685011394,0.17649478685011363,0.17649478685011352,0.17649478685011358,0.17649478685011352,0.17649478685011377,0.17649478685011397,0.17649478685011416,0.1764947868501143,0.17649478685011444,0.17649478685011483,0.17649478685011488,0.17649478685011502,0.17649478685011519,0.1764947868501153,0.17649478685011552,0.17649478685011546,{"$f":"IF(OR(D229=0,CY$210-D$210=0),0,LN(CY229/D229)/(CY$210-D$210))","v":-3.027880976250431E-17},{"$f":"IF(OR(CT229=0,CY$210-CT$210=0),0,LN(CY229/CT229)/(CY$210-CT$210))","v":6.6613381477509284E-16}]
[]
[]
[null,null,"Real final output, Y",{"$f":"D219","v":0.99999999999997513},{"$f":"E219","v":0.99999999999997469},1.0000000001854779,1.0000000003798135,1.0000000005439846,1.0000000006669738,1.0000000007492647,1.0000000007946515,1.0000000008083139,1.0000000007958385,1.000000000762771,1.0000000007143344,1.0000000006552607,1.0000000005896874,1.0000000005211189,1.0000000004524179,1.0000000003858358,1.0000000003230589,1.0000000002652665,1.0000000002132028,1.0000000001672458,1.000000000127474,1.0000000000937341,1.0000000000656986,1.0000000000429172,1.0000000000248646,1.000000000010973,1.0000000000006666,0.99999999999338218,0.99999999998858891,0.99999999998579558,0.99999999998456457,0.99999999998451017,0.99999999998530442,0.99999999998667,0.99999999998838218,0.99999999999026246,0.99999999999217359,0.99999999999401346,0.99999999999571165,0.99999999999722333,0.99999999999852385,0.99999999999960432,1.0000000000004703,1.0000000000011331,1.0000000000016123,1.0000000000019296,1.0000000000021085,1.0000000000021749,1.0000000000021503,1.0000000000020559,1.0000000000019125,1.0000000000017351,1.0000000000015388,1.0000000000013354,1.0000000000011331,1.0000000000009392,1.0000000000007594,1.000000000000596,1.0000000000004508,1.0000000000003255,1.0000000000002194,1.0000000000001315,1.0000000000000604,{"$f":"BP219","v":1.0000000000000051},0.99999999999996314,0.99999999999993361,0.99999999999991274,0.9999999999999003,0.99999999999989475,0.99999999999989386,0.99999999999989719,0.99999999999990274,0.99999999999990963,0.9999999999999174,0.99999999999992628,0.99999999999993405,0.99999999999994138,0.99999999999994826,0.9999999999999547,0.99999999999995981,0.99999999999996447,0.99999999999996825,0.99999999999997136,0.99999999999997224,0.99999999999997424,0.99999999999997513,0.99999999999997558,0.99999999999997558,0.99999999999997513,0.99999999999997558,0.99999999999997424,0.9999999999999738,0.9999999999999738,0.99999999999997269,0.9999999999999718,0.99999999999997136,0.99999999999997047,0.99999999999997047,0.99999999999996958,{"$f":"IF(OR(D232=0,CY$210-D$210=0),0,LN(CY232/D232)/(CY$210-D$210))","v":-5.6071869930563625E-17},{"$f":"IF(OR(CT232=0,CY$210-CT$210=0),0,LN(CY232/CT232)/(CY$210-CT$210))","v":-6.2172489379008861E-16}]
[null,null,"Output dedicated to Consumption, C (physical terms)",{"$f":"D271","v":0.74999999999998146},0.74999999999998068,0.75000000013910806,0.75000000028486014,0.75000000040798842,0.7500000005002303,0.7500000005619486,0.75000000059598815,0.75000000060623506,0.75000000059687855,0.75000000057207805,0.75000000053575111,0.75000000049144577,0.75000000044226567,0.75000000039083881,0.75000000033931336,0.75000000028937708,0.75000000024229396,0.75000000019894986,0.75000000015990231,0.75000000012543411,0.75000000009560563,0.75000000007030077,0.75000000004927381,0.75000000003218792,0.75000000001864853,0.75000000000822964,0.75000000000049993,0.74999999999503653,0.74999999999144151,0.74999999998934663,0.74999999998842293,0.74999999998838285,0.74999999998897837,0.74999999999000255,0.74999999999128697,0.74999999999269695,0.74999999999413003,0.74999999999551048,0.74999999999678391,0.74999999999791722,0.74999999999889311,0.74999999999970335,0.75000000000035227,0.75000000000084954,0.75000000000120881,0.75000000000144695,0.7500000000015814,0.75000000000163103,0.75000000000161238,0.75000000000154232,0.7500000000014343,0.75000000000130163,0.75000000000115474,0.75000000000100164,0.75000000000084999,0.75000000000070466,0.75000000000056954,0.75000000000044698,0.7500000000003384,0.75000000000024425,0.75000000000016431,0.75000000000009859,0.75000000000004552,{"$f":"BP271","v":0.75000000000000366},0.74999999999997269,0.7499999999999496,0.74999999999993494,0.74999999999992562,0.74999999999992151,0.74999999999992084,0.74999999999992339,0.74999999999992695,0.74999999999993228,0.74999999999993849,0.74999999999994438,0.74999999999995048,0.7499999999999567,0.7499999999999617,0.74999999999996625,0.74999999999997025,0.7499999999999738,0.74999999999997624,0.74999999999997824,0.74999999999998002,0.74999999999998113,0.74999999999998168,0.74999999999998201,0.74999999999998179,0.74999999999998201,0.74999999999998157,0.74999999999998146,0.74999999999998079,0.7499999999999799,0.74999999999997957,0.74999999999997913,0.74999999999997857,0.74999999999997846,0.74999999999997768,0.74999999999997757,{"$f":"IF(OR(D233=0,CY$210-D$210=0),0,LN(CY233/D233)/(CY$210-D$210))","v":-5.270755773472979E-17},{"$f":"IF(OR(CT233=0,CY$210-CT$210=0),0,LN(CY233/CT233)/(CY$210-CT$210))","v":-5.3290705182007581E-16}]
[null,null,"Output dedicated to reinvestment, I (physical terms)",0.24999999999999384,0.24999999999999362,0.25000000004636935,0.25000000009495338,0.25000000013599616,0.25000000016674351,0.25000000018731622,0.25000000019866281,0.25000000020207841,0.25000000019895957,0.25000000019069274,0.2500000001785837,0.25000000016381529,0.25000000014742191,0.25000000013027962,0.25000000011310453,0.25000000009645906,0.25000000008076473,0.25000000006631662,0.25000000005330081,0.25000000004181144,0.25000000003186856,0.25000000002343359,0.25000000001642464,0.25000000001072936,0.25000000000621619,0.25000000000274319,0.25000000000016664,0.24999999999834555,0.24999999999714723,0.2499999999964489,0.24999999999614098,0.2499999999961276,0.24999999999632616,0.24999999999666755,0.24999999999709571,0.24999999999756567,0.2499999999980434,0.24999999999850353,0.249999999998928,0.24999999999930575,0.24999999999963105,0.24999999999990111,0.25000000000011746,0.25000000000028322,0.25000000000040296,0.25000000000048234,0.25000000000052713,0.25000000000054368,0.25000000000053746,0.25000000000051414,0.25000000000047817,0.25000000000043393,0.25000000000038491,0.25000000000033396,0.25000000000028338,0.25000000000023492,0.2500000000001899,0.25000000000014899,0.25000000000011285,0.25000000000008149,0.25000000000005479,0.25000000000003286,0.25000000000001521,0.25000000000000122,0.2499999999999909,0.24999999999998324,0.24999999999997835,0.24999999999997524,0.24999999999997385,0.24999999999997363,0.24999999999997446,0.24999999999997569,0.24999999999997746,0.24999999999997957,0.24999999999998149,0.24999999999998354,0.24999999999998559,0.24999999999998726,0.24999999999998873,0.24999999999999012,0.24999999999999128,0.24999999999999212,0.24999999999999278,0.24999999999999339,0.24999999999999373,0.24999999999999395,0.249999999999994,0.24999999999999395,0.249999999999994,0.24999999999999389,0.24999999999999384,0.24999999999999362,0.24999999999999334,0.24999999999999323,0.24999999999999306,0.24999999999999289,0.24999999999999284,0.24999999999999262,0.24999999999999256,{"$f":"IF(OR(D234=0,CY$210-D$210=0),0,LN(CY234/D234)/(CY$210-D$210))","v":-5.158612033611852E-17},{"$f":"IF(OR(CT234=0,CY$210-CT$210=0),0,LN(CY234/CT234)/(CY$210-CT$210))","v":-5.3290705182007581E-16}]
[null,null,"Surplus Production",{"$f":"D232-SUM(D233:D234)","v":0},0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,{"$f":"BP232-SUM(BP233:BP234)","v":0},0,0,0,0,0,0,0,0,0,0,0,0,-8.8817841970012523E-16,0,0,0,0,0,0,-1.1102230246251565E-15,0,0,0,0,-8.8817841970012523E-16,0,-1.1102230246251565E-15,0,0,0,0,{"$f":"CV232-SUM(CV233:CV234)","v":0},{"$f":"CW232-SUM(CW233:CW234)","v":-8.8817841970012523E-16},{"$f":"CX232-SUM(CX233:CX234)","v":0},{"$f":"CY232-SUM(CY233:CY234)","v":0},{"$f":"IF(OR(D235=0,CY235/D235=0,CY$210-D$210=0),0,LN(CY235/D235)/(CY$210-D$210))","v":{"$error":"#DIV/0!"}},{"$f":"IF(OR(CT235=0,CY$210-CT$210=0),0,LN(CY235/CT235)/(CY$210-CT$210))","v":0}]
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[]
[null,null,"Wealth, Consumption, Savings and Leisure"]
[null,null,"Utility function dynamic parameter multipliers",{"$f":"D$210","v":1},{"$f":"E$210","v":2},3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,{"$f":"BQ$210","v":66},67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100]
[null,null,"Gamma",{"$f":"gamma","v":0.3},{"$f":"gamma*E260","v":0.3},0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,{"$f":"gamma*AK260","v":0.3},0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,{"$f":"gamma*BQ260","v":0.3},0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,{"$f":"LN(CY254/D254)/(CY$210-D$210)","v":0},{"$f":"IF(OR(CT254=0,CY$210-CT$210=0),0,LN(CY254/CT254)/(CY$210-CT$210))","v":0}]
[null,null,"Nu",{"$f":"nu","v":0.1},{"$f":"nu*E261","v":0.1},0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,{"$f":"nu*AK261","v":0.1},0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,{"$f":"nu*BQ261","v":0.1},0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0,0]
[null,null,"Omega",{"$f":"omega","v":0.5},{"$f":"1-SUM(E254:E255)-E257","v":0.5},{"$f":"1-SUM(F254:F255)-F257","v":0.5},0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,{"$f":"1-SUM(BR254:BR255)-BR257","v":0.5},0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0,0]
[null,null,"Pi",{"$f":"pi","v":0.1},{"$f":"pi*E262","v":0.1},0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,{"$f":"pi*AK262","v":0.1},0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,{"$f":"pi*BQ262","v":0.1},0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0,0]
[null,null,"Sum (= unity for CRS)",{"$f":"SUM(D254:D257)","v":1},{"$f":"SUM(E254:E257)","v":1},{"$f":"SUM(F254:F257)","v":1},1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,{"$f":"SUM(BR254:BR257)","v":1},1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
[]
[null,null,"Gamma multiplier",1,1,{"$f":"E260*EXP(Gamma_rate_of_change)","v":1},1,1,1,1,1,1,1,{"$f":"M260*EXP(Gamma_rate_of_change)","v":1},1,1,1,{"$f":"Q260*EXP(Gamma_rate_of_change)","v":1},1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,{"$f":"AJ260*EXP(Gamma_rate_of_change)","v":1},1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,{"$f":"BP260*EXP(Gamma_rate_of_change)","v":1},1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,{"$f":"LN(CY260/D260)/(CY$210-D$210)","v":0},{"$f":"IF(OR(CT260=0,CY$210-CT$210=0),0,LN(CY260/CT260)/(CY$210-CT$210))","v":0}]
[null,null,"Nu multiplier",1,{"$f":"D261*EXP(Nu_rate_of_change)","v":1},1,1,1,1,1,1,1,1,{"$f":"M261*EXP(Nu_rate_of_change)","v":1},1,1,1,{"$f":"Q261*EXP(Nu_rate_of_change)","v":1},1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,{"$f":"AJ261*EXP(Nu_rate_of_change)","v":1},1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,{"$f":"BP261*EXP(Nu_rate_of_change)","v":1},1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0]
[null,null,"Pi multiplier",1,{"$f":"D262*EXP(Pi_rate_of_change)","v":1},1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,{"$f":"AJ262*EXP(Pi_rate_of_change)","v":1},1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,{"$f":"BP262*EXP(Pi_rate_of_change)","v":1},1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0]
[]
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[]
[]
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[]
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[]
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[null,"© Harry D. Saunders, 2018"]
[null,null,"Link to User Guide",null,"Return to Test Case #1",null,null,null,"Inputs - parameters",null,"Inputs - init. cond's",null,"Outputs - numeric",null,"Outputs - graphics",null,"Calculations"]
[]
[null,null,"Inputs - parameters"]
[]
[null,null,null,"HUMAN ECONOMY Household Utility Function Parameters"]
[null,null,null,null,"û",null,"g",null,"n",null,"w",null,"p",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"HUMAN ECONOMY Household Utility Function Parameters"]
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[null,null,null,null,null,"Gamma rate of change",0,"%/period",null,null,null,"Pi rate of change",0,"%/period"]
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[]
[null,null,null,"HUMAN ECONOMY Production Function Parameters",null,null,null,null,null,null,null,"Human Economy Growth Inputs",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Initial Conditions Flag"]
[null,null,null,null,"a","a","b","s","r",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"HUMAN ECONOMY Production Function Parameters",null,null,null,null,null,null,null,"Human Economy Growth Inputs",null,null,null,null,null,null,null,null,1,2,3,4,1,null,null,"Initial K multiplier",false]
[null,null,null,null,0.75,0.25,0.25,0.67500000000000004,{"$f":"(sigma-1)/sigma","v":-0.4814814814814814},null,null,"n",0,"Growth rate of workforce (or population proxy)",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"a","a","b","s","r",null,null,null,null,null,null,null,null,null,null,"KX0/LX0",{"$f":"1/(((1-alpha)/alpha)*( N47/N48))","v":1},{"$f":"K_multiplier*DN18","v":1.5},{"$f":"DN18/L_multiplier","v":2},{"$f":"K_multiplier/L_multiplier","v":3},2,null,null,"Initial L multiplier",false]
[null,null,null,null,null,null,null,"substitution elasticity",null,null,null,"d",0.25,"Capital depreciation rate",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0.75,0.25,0.25,0.67500000000000004,{"$f":"(sigma-1)/sigma","v":-0.4814814814814814},null,null,"n",0,"Growth rate of workforce",null,null,null,null,null,"KX0",{"$f":"DN20*DN28","v":0.82350521314988401},{"$f":"K_multiplier*DN19","v":1.2352578197248261},{"$f":"DN19","v":0.82350521314988401},{"$f":"K_multiplier*DN19","v":1.2352578197248261},3]
[null,null,null,null,"lKx","lLx","lXR","lKr","lLr",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"substitution elasticity",null,null,null,"d",0.25,"Capital depreciation rate",null,null,null,null,null,"LX0",{"$f":"DN27/(1+DN27)","v":0.82350521314988401},{"$f":"DN20","v":0.82350521314988401},{"$f":"L_multiplier*DN20","v":0.411752606574942},{"$f":"L_multiplier*DN20","v":0.411752606574942},4,null,null,"Initial conditions flag",{"$f":"IF(AND(Initial_K_multiplier=FALSE,Initial_L_multiplier=FALSE),1,IF( AND(Initial_K_multiplier=TRUE,Initial_L_multiplier=FALSE),2,IF(AND(Initial_K_multiplier=FALSE,Initial_L_multiplier=TRUE),3,4)))","v":1}]
[null,null,null,null,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"lKx","lLx","lXR","lKr","lLr",null,null,null,null,null,null,null,null,null,null,"KR0",{"$f":"1-DN19","v":0.17649478685011599},{"$f":"K_multiplier*DN21","v":0.26474218027517399},{"$f":"DN21","v":0.17649478685011599},{"$f":"K_multiplier*DN21","v":0.26474218027517399},5]
[null,null,null,"Tech gains:","capital X","labor X","R efficiency","capital R","labor R",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,"LR0",{"$f":"1-DN20","v":0.17649478685011599},{"$f":"DN22","v":0.17649478685011599},{"$f":"L_multiplier*DN22","v":8.8247393425057996E-2},{"$f":"L_multiplier*DN22","v":8.8247393425057996E-2},6]
[null,null,null,null,"e",null,"lW",null,null,null,null,"Initial Conditions Adjustors",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Tech gains:","capital X","labor X","R efficiency","capital R","labor R",null,null,null,null,null,null,null,null,null,null,"X0",{"$f":"(H47*DN19)^alpha*(H48*DN20)^(1-alpha)","v":0.82350521314988412},{"$f":"(H47*DO19)^alpha*(H48*DO20)^(1-alpha)","v":0.91135833017193613},{"$f":"(H47*DP19)^alpha*(H48*DP20)^(1-alpha)","v":0.4896591293598373},{"$f":"(H47*DQ19)^alpha*(H48*DQ20)^(1-alpha)","v":0.5418969052787328},7]
[null,null,null,null,0.1,null,0,null,null,null,null,null,"Initial K multiplier",1.5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"e",null,"lW",null,null,null,null,"Initial Conditions Adjustors",null,null,null,null,null,null,null,"Rs0",{"$f":"(1/tRbase)*(H46*H49*DN21)^beta*(H46*H50*DN22)^(1-beta)","v":2.0608560023563265},{"$f":"(1/tRbase)*(H46*H49*DO21)^beta*(H46*H50*DO22)^(1-beta)","v":2.2807120769136295},{"$f":"(1/tRbase)*(H46*H49*DP21)^beta*(H46*H50*DP22)^(1-beta)","v":1.225392310499104},{"$f":"(1/tRbase)*(H46*H49*DQ21)^beta*(H46*H50*DQ22)^(1-beta)","v":1.3561195145691607},8]
[null,null,null,null,"waste production",null,"waste improvement",null,null,null,null,null,"Initial L multiplier",0.5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,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,null,0,null,null,null,null,null,"Initial K multiplier",1.5,null,null,null,null,null,"R0",{"$f":"(1/tRbase)*(H49*DN21)^beta*(H50*DN22)^(1-beta)","v":0.17649478685011602},{"$f":"(1/tRbase)*(H49*DO21)^beta*(H50*DO22)^(1-beta)","v":0.19532358952838549},{"$f":"(1/tRbase)*(H49*DP21)^beta*(H50*DP22)^(1-beta)","v":0.10494442814152331},{"$f":"(1/tRbase)*(H49*DQ21)^beta*(H50*DQ22)^(1-beta)","v":0.11614010119751349},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,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"waste production",null,"waste improvement",null,null,null,null,null,"Initial L multiplier",0.5,null,null,null,null,null,"KX0/KR0",{"$f":"(â/b˄)*(alpha/beta)*(R46/R47)*(N47/N47)*(R47/R46)^(1/(1-rho))","v":4.665889728795368},{"$f":"DO19/DO21","v":4.665889728795368},4.665889728795368,4.665889728795368,10]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"LX0/LR0",{"$f":"((1-alpha)/(1-beta))*(beta/alpha)*DN26","v":4.665889728795368},4.665889728795368,4.665889728795368,4.665889728795368,11]
[null,null,null,"NATURAL ECONOMY Production Function Parameters",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"KX0/LX0",{"$f":"1/(((1-alpha)/alpha)*(N47/N48))","v":1},{"$f":"DO19/DO20","v":1.5},{"$f":"DP19/DP20","v":2},{"$f":"DQ19/DQ20","v":3},12]
[null,null,null,null,"x",null,null,"z",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"NATURAL ECONOMY Production Function Parameters",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Rreference",{"$f":"(H49*DN21)^beta*(H50*DN22)^(1-beta)","v":0.17649478685011602},{"$f":"(H49*DO21)^beta*(H50*DO22)^(1-beta)","v":0.19532358952838549},{"$f":"(H49*DP21)^beta*(H50*DP22)^(1-beta)","v":0.10494442814152331},{"$f":"(H49*DQ21)^beta*(H50*DQ22)^(1-beta)","v":0.11614010119751349},13]
[null,null,null,null,1.1766319528100096E-2,null,null,0.1209685013951559,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"x",null,null,"z"]
[null,null,null,null,"absorptive capacity multiplier",null,null,"replenishment capacity multiplier",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,1.1766319528100096E-2,null,null,0.1209685013951559]
[null,null,null,null,"(fraction of natural capital capacity)",null,null,"(fraction of natural capital capacity)",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"absorptive capacity multiplier",null,null,"replenishment capacity multiplier"]
[null,null,null,null,"fA",null,null,"fR",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"(fraction of natural capital capacity)",null,null,"(fraction of natural capital capacity)"]
[null,null,null,null,19.094683435333646,null,null,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,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"fA",null,null,"fR"]
[null,null,null,null,"Absorption curve shaping factor",null,null,"Replenishment curve shaping factor",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,19.094683435333646,null,null,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,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Absorption curve shaping factor",null,null,"Replenishment curve shaping factor"]
[null,null,null,"ϴ",0.2,"Ricardian Resource supply curve shaping factor"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"ϴ",0.2,"Ricardian Resource supply curve shaping factor"]
[]
[null,null,"Inputs - initial conditions"]
[]
[null,null,null,"Human Economy"]
[null,null,null,null,"Primal (Production)",null,null,null,null,null,null,null,"Dual (Cost)",null,null,null,null,null,null,null,"Welfare"]
[null,null,null,null,null,null,"LX-1",0.82350521314988412,"KX-1",0.82350521314988412]
[null,null,null,null,"Y-1",1,null,null,"X-1",0.82350521314988412,null,null,"c-1",1]
[null,null,null,null,"Y0",{"$f":"(a*J46^rho+(1-a)*J47^rho)^(1/rho)","v":0.99999999999997513},"tXR0",11.676582856276992,"X0",{"$f":"HLOOKUP(Initial_conditions_flag,$DN$17:$DQ$37,DR23)","v":0.82350521314988412},null,null,"c0",{"$f":"(â*R46^(rho/(rho-1))+b˄*R47^(rho/(rho-1)))^((rho-1)/rho)","v":1.0000000000000369},"share, KX",{"$f":"N47*F47","v":0.20587630328747347},"Xc",{"$f":"((N47/H47)^alpha)*((N48/H48)^(1-alpha))","v":0.56987676423870126},null,null,"u0",{"$f":"û*V49^gamma*V50^nu*V51^omega*V52^pi","v":0.99999999999999989},null,"u0/worker",{"$f":"V46/$F$58","v":0.99999999999999989}]
[null,null,null,null,"KX0",{"$f":"HLOOKUP(Initial_conditions_flag,$DN$17:$DQ$37,DR19)","v":0.82350521314988401},"tKX0",1,"Rs0",{"$f":"HLOOKUP(Initial_conditions_flag,$DN$17:$DQ$37,DR24)","v":2.0608560023563265},null,null,"pk0",{"$f":"N45*a*alpha*(J45/J44)*(F45/J45)^(1-rho)","v":0.250000000000003},"share, LX",{"$f":"N48*F48","v":0.61762890986242036},"Rc",{"$f":"((N47/(H46*H49))^beta)*((N48/(H46*H50))^(1-beta))","v":4.8805097454719115E-2},null,null,"Wmax",{"$f":"N48*(Ł0)+N47*(F47+F49)","v":2.2500000000000275},null,"Budget0/worker",{"$f":"V48/$F$58","v":1.000000000000012}]
[null,null,null,null,"LX0",{"$f":"HLOOKUP(Initial_conditions_flag,$DN$17:$DQ$37,DR20)","v":0.82350521314988401},"tLX0",1,"R0",{"$f":"HLOOKUP(Initial_conditions_flag,$DN$17:$DQ$37,DR25)","v":0.17649478685011602},null,null,"pL0",{"$f":"N45*a*(1-alpha)*(J45/H44)*(F45/J45)^(1-rho)","v":0.75000000000000899},"share, KR",{"$f":"N47*F49","v":4.4123696712529525E-2},null,null,null,null,"Budget0",{"$f":"N48*(F48+F50)+N47*(F47+F49)","v":1.000000000000012},null,"C0/worker",{"$f":"V49/$F$58","v":0.74999999999998146}]
[null,null,null,null,"KR0",{"$f":"HLOOKUP(Initial_conditions_flag,$DN$17:$DQ$37,DR21)","v":0.17649478685011599},"tKR0",1,null,null,null,null,null,null,"share, LR",{"$f":"N48*F50","v":0.13237109013758858},null,null,null,null,"C0",{"$f":"(gamma/(1-pi))*V47/N46","v":0.74999999999998146},null,"S0/worker",{"$f":"V50/$F$58","v":0.24999999999999384}]
[null,null,null,null,"LR0",{"$f":"HLOOKUP(Initial_conditions_flag,$DN$17:$DQ$37,DR22)","v":0.17649478685011599},"tLR0",1,"KX0/KR0",{"$f":"HLOOKUP(Initial_conditions_flag,$DN$17:$DQ$37,DR26)","v":4.665889728795368},null,null,"pR0",{"$f":"(N47/$H$49)^beta*(N48/$H$50)^(1-beta)*beta^beta*(1-beta)^(1-beta)","v":0.32475952641916844},null,null,null,null,null,null,"S0",{"$f":"(nu/(1-pi))*V47/N46","v":0.24999999999999384},null,"l0/worker",{"$f":"V51/$F$58","v":1.6666666666666674}]
[null,null,null,null,null,null,null,null,"LX0/LR0",{"$f":"HLOOKUP(Initial_conditions_flag,$DN$17:$DQ$37,DR27)","v":4.665889728795368},null,null,null,null,null,null,"â",{"$f":"a^(1/(1-rho))*(alpha^alpha*(1-alpha)^(1-alpha))^(rho/(1-rho))","v":0.98863855734358319},null,null,"l0",{"$f":"Ł0-(F48+F50)","v":1.6666666666666674},null,"N0/worker",{"$f":"V52/$F$58","v":1}]
[null,null,null,null,"W",{"$f":"epsilon*J48","v":1.7649478685011603E-2},null,null,"KX0/LX0",{"$f":"HLOOKUP(Initial_conditions_flag,$DN$17:$DQ$37,DR28)","v":1},null,null,null,null,null,null,"b˄",{"$f":"(1-a)^(1/(1-rho))*(beta^beta*(1-beta)^(1-beta))^(rho/(1-rho))","v":0.47095639364105413},null,null,"N0",{"$f":"F71","v":1}]
[]
[]
[null,null,null,null,"Initial Labor Force & Employment",null,null,null,null,null,null,null,"Checks:"]
[null,null,null,null,null,null,null,null,null,null,null,null,"pk0",{"$f":"N46*a*alpha*J46/F47*(F46/J46)^(1-rho)","v":0.25000000000000305},null,"pk0",{"$f":"N46*(1-a)*beta*(J47/F49)*(F46/J47)^(1-rho)","v":0.25000000000000311}]
[null,null,null,null,"Ł0",2.6666666666666674,"Initial labor force",null,null,null,null,null,"pL0",{"$f":"N46*a*(1-alpha)*(J46/F48)*(F46/J46)^(1-rho)","v":0.75000000000000921},null,"pL0",{"$f":"N46*(1-a)*(1-beta)*(J47/F50)*(F46/J47)^(1-rho)","v":0.75000000000000944}]
[null,null,null,null,"L0",{"$f":"Ł0-V51","v":1},"Initial labor employed"]
[]
[]
[]
[null,null,null,null,"Initial Shadow Price (Lagrange multiplier)"]
[]
[null,null,null,null,null,{"$f":"û*(gamma/N48)*((gamma/(1-pi))*(V47/N46))^pi*(V52^pi)","v":0.37698959433260953},"Houshold budget constraint"]
[]
[]
[null,null,null,"Natural Economy"]
[null,null,null,null,"Natural Capital",null,null,null,null,null,null,null,"Natural Capital - Base Conditions"]
[]
[null,null,null,null,"N-1",1,"Pre-existing Stock of Natural Capital",null,null,null,null,null,"N-1",1,"Pre-existing Stock of Natural Capital"]
[null,null,null,null,"N0",1,"Initial Stock of Natural Capital",null,null,null,null,null,"N0",1,"Steady-state Natural Capital Equilibrium Value"]
[null,null,null,null,"Ncapacity",1.5,"Maximum Capacity (Stock) of Natural Capital",null,null,null,null,null,"Ncapacity",1.5,"Maximum Capacity (Stock) of Natural Capital"]
[null,null,null,null,"Ncritical",0.1,"Critical Threshold for Natural Capital",null,null,null,null,null,"Ncritical",0.1,"Critical Threshold for Natural Capital"]
[]
[null,null,null,null,"cN",1,"Natural capital unit cost function",null,null,null,null,null,"cN",1,"Natural capital unit cost function"]
[]
[null,null,null,null,"R0",{"$f":"zeta*Ncapacity*(1-EXP(-psi_Replen*(F71-Ncritical)))","v":0.17649478745725461},"Replenishment",null,null,null,null,null,"R0",0.1764947868501161,"Replenishment",null,null,"ϴ",{"$f":"theta","v":0.2},"Ricardian supply curve shaping factor"]
[null,null,null,null,"R0",{"$f":"J48","v":0.17649478685011602},"Raw Resource Use",null,null,null,null,null,"Rreference",0.17649478685011602,"\"Resources\" (w/o tR)",null,null,"kbase",{"$f":"1/(N75+(1/S77)*LN((N72-N73)/(1-N73)))","v":0.31160765680753116}]
[null,null,null,null,"A0",{"$f":"MIN(xi*Ncapacity,F80)*(1-EXP(-psi_A*(F71-Ncritical)))","v":1.7649478077873069E-2},"Absorption",null,null,null,null,null,"A0",3.5298957370023205E-2,"Absorption",null,null,"tRbase",{"$f":"kbase*(cN+(1/theta)*LN((N72-N73)/(N71-N73)))","v":0.99999999999999989}]
[null,null,null,null,"W0",{"$f":"epsilon*F78","v":1.7649478685011603E-2},"Waste Production",null,null,null,null,null,"W0",3.5298957370023205E-2,"Waste Production"]
[]
[]
[]
[null,null,"Outputs - Numeric"]
[]
[null,null,null,"Period 1 Value","Period 100 Value","Growth rate, period 1 to 100","Growth rate, period 95 to 100",null,"Per Worker, period 1","Per Person, period 1","Per Worker, period 100","Per Person, period 100",null,"Golden Rule Condi-tions ",null,null,null,"Search Targets"]
[null,null,"Household Welfare"]
[null,null,"u (utility)",{"$f":"D265","v":0.99999999999999989},{"$f":"CY265","v":0.99999999999999833},{"$f":"CZ265","v":-1.5700123580557781E-17},{"$f":"DA265","v":-3.3306690738754726E-16},null,{"$f":"D88/$D$221","v":0.99999999999999989},{"$f":"E88/$D$220","v":0.37499999999999928},{"$f":"E88/$CY$221","v":0.99999999999999833},{"$f":"E88/$CY$220","v":0.37499999999999928},null,{"$f":"E90/E94","v":0.25000000000000017},"Savings rate",null,null,{"$f":"(E88-D88)*10^6","v":-1.5543122344752192E-9}]
[null,null,"C (consumption)",{"$f":"D271","v":0.74999999999998146},{"$f":"CY271","v":0.74999999999997757},-5.270755773472979E-17,-5.3290705182007581E-16,null,{"$f":"D89/$D$221","v":0.74999999999998146},{"$f":"E89/$D$220","v":0.28124999999999151},{"$f":"E89/$CY$221","v":0.74999999999997757},{"$f":"E89/$CY$220","v":0.28124999999999151},null,{"$f":"(E103/E102)*E95/E94","v":0.25000000000000011},"\"Golden Rule\" savings rate",null,null,{"$f":"(E89-D89)*10^6","v":-3.8857805861880479E-9}]
[null,null,"S (savings)",{"$f":"D272","v":0.24999999999999384},0.24999999999999256,-5.158612033611852E-17,-5.3290705182007581E-16,null,{"$f":"D90/$D$221","v":0.24999999999999384},{"$f":"E90/$D$220","v":9.3749999999997183E-2},{"$f":"E90/$CY$221","v":0.24999999999999256},{"$f":"E90/$CY$220","v":9.3749999999997183E-2},null,null,null,null,null,-1.27675647831893E-9,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"F89*10^9","v":-5.2707557734729791E-8}]
[null,null,"l (leisure)",{"$f":"D273","v":1.6666666666666674},1.6666666666666674,0,4.4408920985006258E-17,null,{"$f":"D91/$D$221","v":1.6666666666666674},{"$f":"E91/$D$220","v":0.62500000000000011},{"$f":"E91/$CY$221","v":1.6666666666666674},{"$f":"E91/$CY$220","v":0.62500000000000011},null,{"$f":"(E103/E102)-d","v":-4.9960036108132044E-16},"Real \"social\" return ",null,null,0]
[null,null,"N (natural  capital)",{"$f":"D300","v":1},{"$f":"CY300","v":1.0000000000000056},{"$f":"CZ300","v":5.6071869930563305E-17},{"$f":"DA300","v":-1.2878587085651857E-15},null,{"$f":"D92/$D$221","v":1},{"$f":"E92/$D$220","v":0.375000000000002},{"$f":"E92/$CY$221","v":1.0000000000000056},{"$f":"E92/$CY$220","v":0.375000000000002},null,{"$f":"G94","v":-6.2172489379008861E-16},"Real output growth rate",null,null,5.5511151231257827E-9]
[null,null,"Producers -Primal"]
[null,null,"Y (value-added output)",{"$f":"D232","v":0.99999999999997513},{"$f":"CY232","v":0.99999999999996958},{"$f":"CZ232","v":-5.6071869930563625E-17},{"$f":"DA232","v":-6.2172489379008861E-16},null,{"$f":"D94/$D$221","v":0.99999999999997513},{"$f":"E94/$D$220","v":0.37499999999998851},{"$f":"E94/$CY$221","v":0.99999999999996958},{"$f":"E94/$CY$220","v":0.37499999999998851},null,{"$f":"E119","v":0.74999999999997735},"Consume your wages",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Y (value-added output)",{"$f":"D94","v":0.99999999999997513},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,7.8469733551375764E-2]
[null,null,"K (capital/wealth)",{"$f":"D223","v":1},{"$f":"CY223","v":0.99999999999997202},{"$f":"CZ223","v":-2.8260222445004379E-16},{"$f":"DA223","v":-3.5527136788005041E-16},null,1,0.3749999999999894,0.99999999999997202,0.3749999999999894,null,{"$f":"E120","v":0.24999999999999251},"Invest your returns",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"K (capital/wealth)",{"$f":"D95","v":1},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"F94*10^9","v":-5.6071869930563626E-8}]
[null,null,"L (employed labor force)",{"$f":"D221","v":1},{"$f":"CY221","v":1},{"$f":"CZ221","v":0},{"$f":"DA221","v":-4.4408920985006264E-17},null,1,0.37499999999999989,1,0.37499999999999989,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"L (employed labor force)",1]
[null,null,"Ł (available labor force)",{"$f":"D220","v":2.6666666666666674},{"$f":"CY220","v":2.6666666666666674},{"$f":"CZ220","v":0},{"$f":"DA220","v":0},null,2.6666666666666674,1,2.6666666666666674,1,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"I (investment)",{"$f":"D98","v":0.24999999999999384}]
[null,null,"I (investment)",{"$f":"D222","v":0.24999999999999384},{"$f":"CY222","v":0.24999999999999262},{"$f":"CZ222","v":-4.9343245538895967E-17},{"$f":"DA222","v":-5.7731597280508231E-16},null,0.24999999999999384,9.3749999999997211E-2,0.24999999999999262,9.3749999999997211E-2,{"$f":"E98/E95","v":0.24999999999999961},"Investment fraction",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"R (raw resource use)",{"$f":"D99","v":0.17649478685011602}]
[null,null,"R (raw resource use)",{"$f":"D315","v":0.17649478685011602},{"$f":"CY315","v":0.17649478685011621},{"$f":"CZ315","v":1.1214373986112686E-17},{"$f":"DA315","v":-2.0428103653102985E-15},null,0.17649478685011602,6.6185545068793566E-2,0.17649478685011621,6.6185545068793566E-2,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"W (waste produced)",{"$f":"D100","v":1.7649478685011603E-2}]
[null,null,"W (waste produced)",{"$f":"D306","v":1.7649478685011603E-2},{"$f":"CY306","v":1.7649478685011655E-2},{"$f":"CZ306","v":2.9157372363892954E-17},{"$f":"DA306","v":-2.3092638912203387E-15},null,1.7649478685011603E-2,6.6185545068793688E-3,1.7649478685011655E-2,6.6185545068793688E-3]
[null,null,"Producers -Dual"]
[null,null,"c (unit cost/price of value-added output)",{"$f":"D211","v":1.0000000000000369},{"$f":"CY211","v":1.0000000000000329},-4.0371746350005774E-17,1.3322676295501876E-16,null,{"$f":"D102/$D$221","v":1.0000000000000369},{"$f":"E102/$D$220","v":0.37500000000001221},{"$f":"E102/$CY$221","v":1.0000000000000329},{"$f":"E102/$CY$220","v":0.37500000000001221}]
[null,null,"r=pK (price/cost of capital)",{"$f":"D212","v":0.250000000000003},0.25000000000000772,1.9064435776391399E-16,-1.3322676295501883E-16,null,{"$f":"D103/$D$221","v":0.250000000000003},{"$f":"E103/$D$220","v":9.3750000000002873E-2},{"$f":"E103/$CY$221","v":0.25000000000000772},{"$f":"E103/$CY$220","v":9.3750000000002873E-2},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"-F102+F105","v":-5.3828995133341288E-17}]
[null,null,"r-d (net return to capital)",{"$f":"D215","v":2.9976021664879227E-15},{"$f":"CY215","v":7.716050021144838E-15},{"$f":"CZ215","v":9.5504028946102881E-3},{"$f":"DA215","v":-4.2706248941137889E-3},null,{"$f":"D104/$D$221","v":2.9976021664879227E-15},{"$f":"E104/$D$220","v":2.8935187579293134E-15},{"$f":"E104/$CY$221","v":7.716050021144838E-15},{"$f":"E104/$CY$220","v":2.8935187579293134E-15}]
[null,null,"w=pL (price/cost of labor)",{"$f":"D213","v":0.75000000000000899},{"$f":"CY213","v":0.750000000000002},-9.4200741483347062E-17,-4.4408920985006311E-16,null,{"$f":"D105/$D$221","v":0.75000000000000899},{"$f":"E105/$D$220","v":0.28125000000000067},{"$f":"E105/$CY$221","v":0.750000000000002},{"$f":"E105/$CY$220","v":0.28125000000000067}]
[null,null,"pR (price/cost of raw resources)",{"$f":"D214","v":0.32475952641916844},{"$f":"CY214","v":0.32475952641916406},{"$f":"CZ214","v":-1.3681536263057578E-16},{"$f":"DA214","v":2.2648549702353066E-15},null,{"$f":"D106/$D$221","v":0.32475952641916844},{"$f":"E106/$D$220","v":0.12178482240718649},{"$f":"E106/$CY$221","v":0.32475952641916406},{"$f":"E106/$CY$220","v":0.12178482240718649}]
[null,null,"Natural Economy"]
[null,null,"N (natural  capital)",{"$f":"D300","v":1},{"$f":"CY300","v":1.0000000000000056},{"$f":"CZ300","v":5.6071869930563305E-17},{"$f":"DA300","v":-1.2878587085651857E-15},null,{"$f":"D108/$D$221","v":1},{"$f":"E108/$D$220","v":0.375000000000002},{"$f":"E108/$CY$221","v":1.0000000000000056},{"$f":"E108/$CY$220","v":0.375000000000002}]
[null,null,"*R* (natural  capital replenishment)",{"$f":"E302","v":0.17649478745725461},{"$f":"CY302","v":0.17649478745725472},{"$f":"CZ302","v":6.7286243916676133E-18},{"$f":"DA302","v":-1.7763568394002513E-16},null,{"$f":"D109/$D$221","v":0.17649478745725461},{"$f":"E109/$D$220","v":6.6185545296470499E-2},{"$f":"E109/$CY$221","v":0.17649478745725472},{"$f":"E109/$CY$220","v":6.6185545296470499E-2}]
[null,null,"R (raw resource use)",{"$f":"D99","v":0.17649478685011602},{"$f":"E99","v":0.17649478685011621},{"$f":"F99","v":1.1214373986112686E-17},{"$f":"G99","v":-2.0428103653102985E-15},null,{"$f":"D110/$D$221","v":0.17649478685011602},{"$f":"E110/$D$220","v":6.6185545068793566E-2},{"$f":"K99","v":0.17649478685011621},{"$f":"L99","v":6.6185545068793566E-2}]
[null,null,"A (natural  capital absorption of waste)",{"$f":"D305","v":1.7649478685011589E-2},{"$f":"CY305","v":1.7649478685011589E-2},{"$f":"CZ305","v":0},{"$f":"DA305","v":0},null,{"$f":"D111/$D$221","v":1.7649478685011589E-2},{"$f":"E111/$D$220","v":6.6185545068793436E-3},{"$f":"E111/$CY$221","v":1.7649478685011589E-2},{"$f":"E111/$CY$220","v":6.6185545068793436E-3}]
[null,null,"W (waste produced)",{"$f":"D100","v":1.7649478685011603E-2},{"$f":"E100","v":1.7649478685011655E-2},{"$f":"F100","v":2.9157372363892954E-17},{"$f":"G100","v":-2.3092638912203387E-15},null,{"$f":"D112/$D$221","v":1.7649478685011603E-2},{"$f":"E112/$D$220","v":6.6185545068793688E-3},{"$f":"K100","v":1.7649478685011655E-2},{"$f":"L100","v":6.6185545068793688E-3}]
[null,null,"Household Earnings (wages and investment returns)"]
[null,null,"E (Earnings/Income)",{"$f":"D266","v":1.000000000000012},{"$f":"CY266","v":1.0000000000000027},{"$f":"CZ266","v":-9.4200741483347062E-17},{"$f":"DA266","v":-4.8849813083506951E-16},null,{"$f":"D114/$D$221","v":1.000000000000012},{"$f":"E114/$D$220","v":0.37500000000000089},{"$f":"E114/$CY$221","v":1.0000000000000027},{"$f":"E114/$CY$220","v":0.37500000000000089}]
[null,null,"wL (wages)",{"$f":"D105*D96","v":0.75000000000000899},{"$f":"E105*E96","v":0.750000000000002},{"$f":"F105*F96","v":0},{"$f":"G105*G96","v":1.9721522630525318E-32},null,0.75000000000000899,0.28125000000000067,0.750000000000002,0.28125000000000067]
[null,null,"rK (returns)",{"$f":"D103*D95","v":0.250000000000003},{"$f":"E103*E95","v":0.25000000000000072},{"$f":"F103*F95","v":-5.3876519582932073E-32},{"$f":"G103*G95","v":4.7331654313260767E-32},null,0.250000000000003,9.375000000000025E-2,0.25000000000000072,9.375000000000025E-2]
[null,null,"Household Budget",{"$f":"D269","v":1.000000000000012},{"$f":"CY269","v":1.0000000000000027},{"$f":"CZ269","v":-9.4200741483347062E-17},{"$f":"DA269","v":-4.8849813083506951E-16},null,1.000000000000012,0.37500000000000089,1.0000000000000027,0.37500000000000089]
[null,null,"E/c (real earnings/income)",{"$f":"D275","v":0.99999999999997513},{"$f":"CY275","v":0.9999999999999698},{"$f":"CZ275","v":-5.3828995133341066E-17},{"$f":"DA275","v":-6.2172489379008861E-16},null,0.99999999999997513,0.37499999999998856,0.9999999999999698,0.37499999999998856,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"G94","v":-6.2172489379008861E-16}]
[null,null,"wL/c (real wages)",{"$f":"D115/$D$102","v":0.74999999999998135},{"$f":"E115/$E$102","v":0.74999999999997735},0,1.972152263052459E-32,null,0.74999999999998135,0.28124999999999145,0.74999999999997735,0.28124999999999145]
[null,null,"rK/c (real returns)",0.24999999999999378,{"$f":"E116/$E$102","v":0.24999999999999251},-5.3876519582930092E-32,4.7331654313259021E-32,null,0.24999999999999378,9.3749999999997169E-2,0.24999999999999251,9.3749999999997169E-2]
[null,null,"cC (consumption, monetary terms)",{"$f":"D89*D102","v":0.7500000000000091},{"$f":"E89*E102","v":0.75000000000000222},{"$f":"CZ271","v":-5.270755773472979E-17},{"$f":"DA271","v":-5.3290705182007581E-16},null,0.7500000000000091,0.28125000000000078,0.75000000000000222,0.28125000000000078]
[null,null," Shadow price of Budget Constraint",{"$f":"D296","v":0.37698959433260953},{"$f":"CY296","v":0.37698959433261303},{"$f":"CZ296","v":9.4200741483346174E-17},{"$f":"DA296","v":2.6645352591003741E-16},null,0.37698959433260953,0.14137109787472985,0.37698959433261303,0.14137109787472985]
[null,null,"Marginal Utilities and Prices"]
[null,null,"Marginal utility of Consumption",{"$f":"D$122*D$102","v":0.37698959433262341},{"$f":"E$122*E$102","v":0.37698959433262541}]
[null,null,"Marginal utility of Savings",{"$f":"D$122*D$102","v":0.37698959433262341},{"$f":"E$122*E$102","v":0.37698959433262541}]
[null,null,"Marginal utility of Leisure",{"$f":"D$122*D$105","v":0.28274219574946052},{"$f":"E$122*E$105","v":0.28274219574946052}]
[null,null,"Marginal utility of Natural Capital",{"$f":"pi*D$88/D$108","v":9.9999999999999992E-2},{"$f":"pi*E$88/E$108","v":9.9999999999999284E-2}]
[null,null,"Resource Rebound"]
[null,null,"Rs (resource services)",{"$f":"D314","v":2.0608560023563265},{"$f":"CY314","v":2.0608560023563292},{"$f":"CZ314","v":1.3457248783335223E-17},{"$f":"DA314","v":-1.9761969838327886E-15},null,null,"Relative to Period 1"]
[null,null,"Ractual (actual raw resource use)",{"$f":"D99","v":0.17649478685011602},{"$f":"E99","v":0.17649478685011621},{"$f":"F99","v":1.1214373986112686E-17},{"$f":"G99","v":-2.0428103653102985E-15},null,null,"Period 10","Period 100"]
[null,null,"R0 (zero rebound inferred from Leontief production)",{"$f":"D316","v":0.17649478685011602},{"$f":"CY316","v":0.17649478685011602},0,0,null,"Rebound",{"$f":"IF((M317-M316)=0,\"N/A\",1-(M317-M315)/(M317-M316))","v":"N/A"},{"$f":"IF((E132-E131)=0,\"N/A\",1-(E132-E130)/(E132-E131))","v":"N/A"}]
[null,null,"R100 (100% rebound)",{"$f":"D317","v":0.17649478685011602},0.17649478685011602,0,0,null,"Backfire",{"$f":"IF(M315>M317,\"Backfire\",\"N/A\")","v":"Backfire"},{"$f":"IF(E99>E132,\"Backfire\",\"N/A\")","v":"N/A"}]
[]
[]
[]
[]
[]
[null,null,"Outputs - Graphic"]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[null,null,"Calculations"]
[]
[null,null,null,"Initial Technologies",null,null,"tKx","tLx","tR","tKr","tLr",null,"tR","tW"]
[null,null,null,null,null,null,{"$f":"EXP(lambdaKx)","v":1},{"$f":"EXP(lambdaLx)","v":1},{"$f":"EXP(lambdaR)","v":1},{"$f":"EXP(lambdaKr)","v":1},{"$f":"EXP(lambdaLr)","v":1},null,{"$f":"tRbase","v":0.99999999999999989},{"$f":"EXP(lambdaW)","v":1}]
[]
[null,null,"Dual-side Calculations"]
[null,null,"Unit Price Measures",1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,"Growth,\n1-100","Growth,\n95-100"]
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[null,null,"pK",{"$f":"N47","v":0.250000000000003},{"$f":"D211*a*alpha*(D313/D225)*(D219/D313)^(1-rho)","v":0.25000000000000305},0.25000000000000461,0.2500000000000055,0.24999999998970043,0.24999999997308375,0.24999999995314648,0.24999999993274497,0.24999999991388133,0.24999999989787175,0.24999999988545035,0.24999999987690411,0.24999999987218879,0.24999999987102955,0.24999999987300173,0.24999999987759775,0.2499999998842769,0.24999999989250429,0.2499999999017781,0.24999999991164629,0.24999999992171867,0.24999999993167071,0.24999999994124378,0.24999999995024261,0.24999999995852948,0.24999999996601729,0.24999999997266309,0.24999999997845962,0.24999999998342837,0.24999999998761252,0.2499999999910707,0.24999999999387124,0.24999999999608868,{"$f":"AJ211*a*alpha*(AJ313/AJ225)*(AJ219/AJ313)^(1-rho)","v":0.24999999999779832},0.24999999999907507,0.24999999999998954,0.25000000000060729,0.25000000000098804,0.25000000000118466,0.25000000000124234,0.25000000000120004,0.25000000000108996,0.25000000000093786,0.25000000000076433,0.25000000000058531,0.25000000000041217,0.2500000000002528,0.25000000000011202,0.2499999999999927,0.24999999999989592,0.249999999999821,0.24999999999976641,0.24999999999973049,0.24999999999971048,0.24999999999970399,0.24999999999970851,0.24999999999972139,0.24999999999974054,0.24999999999976399,0.24999999999978995,0.2499999999998169,0.24999999999984385,0.24999999999986977,0.249999999999894,0.24999999999991618,{"$f":"BP211*a*alpha*(BP313/BP225)*(BP219/BP313)^(1-rho)","v":0.24999999999993605},0.24999999999995343,0.24999999999996839,0.24999999999998088,0.24999999999999087,0.24999999999999883,0.250000000000005,0.2500000000000096,0.2500000000000131,0.25000000000001538,0.25000000000001665,0.25000000000001743,0.2500000000000176,0.2500000000000171,0.25000000000001632,0.2500000000000156,0.25000000000001454,0.25000000000001354,0.25000000000001266,0.2500000000000121,0.25000000000001105,0.25000000000001033,0.2500000000000096,0.25000000000000916,0.25000000000000877,0.25000000000000827,0.25000000000000822,0.25000000000000777,0.25000000000000761,0.25000000000000788,0.25000000000000783,0.25000000000000777,0.25000000000000772,0.25000000000000755,0.25000000000000772,{"$f":"IF(OR(D212=0,CY$210-D$210=0),0,LN(CY212/D212)/(CY$210-D$210))","v":1.9064435776391399E-16},{"$f":"IF(OR(CT212=0,CY$210-CT$210=0),0,LN(CY212/CT212)/(CY$210-CT$210))","v":-1.3322676295501883E-16}]
[null,null,"pL",{"$f":"N48","v":0.75000000000000899},{"$f":"D211*a*(1-alpha)*(D313/D226)*(D219/D313)^(1-rho)","v":0.75000000000000921},0.75000000000000799,0.75000000000000744,0.75000000001031253,0.7500000000269299,0.75000000004686707,0.75000000006726886,0.75000000008613277,0.75000000010214263,0.75000000011456414,0.75000000012311074,0.75000000012782619,0.75000000012898527,0.75000000012701307,0.75000000012241741,0.75000000011573842,0.75000000010751078,0.75000000009823731,0.75000000008836909,0.75000000007829648,0.75000000006834444,0.75000000005877121,0.75000000004977219,0.75000000004148581,0.75000000003399792,0.75000000002735212,0.75000000002155542,0.75000000001658629,0.75000000001240297,0.75000000000894484,0.75000000000614442,0.75000000000392764,{"$f":"AJ211*a*(1-alpha)*(AJ313/AJ226)*(AJ219/AJ313)^(1-rho)","v":0.750000000002218},0.75000000000094147,0.75000000000002709,0.74999999999940858,0.74999999999902789,0.74999999999883182,0.74999999999877387,0.7499999999988165,0.74999999999892719,0.74999999999907896,0.74999999999925249,0.74999999999943201,0.7499999999996062,0.74999999999976619,0.74999999999990752,0.75000000000002698,0.75000000000012401,0.7500000000001994,0.75000000000025369,0.75000000000028966,0.75000000000030964,0.75000000000031564,0.75000000000031075,0.75000000000029776,0.75000000000027833,0.75000000000025513,0.75000000000022937,0.7500000000002025,0.7500000000001753,0.75000000000014999,0.75000000000012546,0.75000000000010325,{"$f":"BP211*a*(1-alpha)*(BP313/BP226)*(BP219/BP313)^(1-rho)","v":0.75000000000008349},0.75000000000006573,0.75000000000005174,0.75000000000003886,0.75000000000002798,0.75000000000001943,0.7500000000000121,0.75000000000000688,0.75000000000000377,0.75000000000000133,0.74999999999999978,0.74999999999999956,0.74999999999999933,0.74999999999999922,0.74999999999999944,0.75000000000000011,0.75000000000000022,0.75000000000000089,0.750000000000002,0.75000000000000322,0.75000000000000311,0.75000000000000333,0.75000000000000355,0.750000000000004,0.75000000000000411,0.75000000000000389,0.75000000000000411,0.75000000000000355,0.75000000000000344,0.75000000000000366,0.75000000000000355,0.75000000000000311,0.75000000000000289,0.75000000000000233,0.750000000000002,{"$f":"IF(OR(D213=0,CY$210-D$210=0),0,LN(CY213/D213)/(CY$210-D$210))","v":-9.4200741483347062E-17},{"$f":"IF(OR(CT213=0,CY$210-CT$210=0),0,LN(CY213/CT213)/(CY$210-CT$210))","v":-4.4408920985006311E-16}]
[null,null,"pR",{"$f":"N50","v":0.32475952641916844},{"$f":"E331*(E212/E328)^beta*(E213/E329)^(1-beta)*beta^beta*(1-beta)^(1-beta)","v":0.3247595264191685},0.32475952607783004,0.32475952572972216,0.32475952545872805,0.32475952527624397,0.32475952517416623,0.32475952513929102,0.32475952515780615,0.32475952521673807,0.32475952530449342,0.3247595254110614,0.32475952552805798,0.32475952564867905,0.32475952576759681,0.32475952588081775,0.32475952598552071,0.32475952607988628,0.32475952616292808,0.32475952623432863,0.32475952629429133,0.3247595263434056,0.32475952638253025,0.32475952641269484,0.32475952643501782,0.32475952645064021,0.32475952646067768,0.32475952646618211,0.32475952646811651,0.32475952646734069,0.32475952646460116,0.32475952646053219,0.32475952645565859,{"$f":"AK331*(AK212/AK328)^beta*(AK213/AK329)^(1-beta)*beta^beta*(1-beta)^(1-beta)","v":0.32475952645040157},0.32475952644508971,0.32475952643996808,0.32475952643521017,0.32475952643092953,0.32475952642719014,0.32475952642401562,0.32475952642140088,0.32475952641931721,0.32475952641772105,0.3247595264165592,0.32475952641577382,0.32475952641530542,0.32475952641509609,0.3247595264150917,0.32475952641524258,0.32475952641550559,0.32475952641584338,0.32475952641622458,0.32475952641662376,0.32475952641702116,0.32475952641740147,0.32475952641775452,0.32475952641807349,0.32475952641835404,0.32475952641859535,0.32475952641879746,0.32475952641896216,0.32475952641909256,0.32475952641919242,0.32475952641926503,0.32475952641931483,{"$f":"BQ331*(BQ212/BQ328)^beta*(BQ213/BQ329)^(1-beta)*beta^beta*(1-beta)^(1-beta)","v":0.3247595264193453},0.32475952641936029,0.32475952641936362,0.32475952641935735,0.32475952641934414,0.32475952641932709,0.32475952641930728,0.32475952641928651,0.32475952641926631,0.32475952641924688,0.32475952641922873,0.32475952641921291,0.32475952641919892,0.32475952641918676,0.32475952641917682,0.324759526419169,0.32475952641916273,0.32475952641915817,0.32475952641915534,0.32475952641915368,0.32475952641915246,0.32475952641915223,0.32475952641915246,0.32475952641915334,0.3247595264191544,0.32475952641915534,0.32475952641915679,0.3247595264191579,0.32475952641915901,0.32475952641916039,0.32475952641916145,0.32475952641916234,{"$f":"CW331*(CW212/CW328)^beta*(CW213/CW329)^(1-beta)*beta^beta*(1-beta)^(1-beta)","v":0.32475952641916311},0.32475952641916345,0.32475952641916406,{"$f":"IF(OR(D214=0,CY$210-D$210=0),0,LN(CY214/D214)/(CY$210-D$210))","v":-1.3681536263057578E-16},{"$f":"IF(OR(CT214=0,CY$210-CT$210=0),0,LN(CY214/CT214)/(CY$210-CT$210))","v":2.2648549702353066E-15}]
[null,null,"pK - d",{"$f":"D212-d","v":2.9976021664879227E-15},3.0531133177191805E-15,4.6074255521943996E-15,5.4956039718945249E-15,-1.0299566755023193E-11,-2.6916247009012295E-11,-4.6853521062928394E-11,-6.7255034874591502E-11,-8.6118667752543843E-11,-1.0212825030109229E-10,-1.1454964754520347E-10,-1.2309589458858738E-10,-1.2781120606319973E-10,-1.2897044543436209E-10,-1.2699827300899358E-10,-1.224022549983772E-10,-1.1572309777108103E-10,-1.0749570678036946E-10,-9.8221902833373065E-11,-8.8353713234567977E-11,-7.8281325865958706E-11,-6.8329286673218803E-11,-5.8756222109934697E-11,-4.9757392650562338E-11,-4.1470521461306475E-11,-3.3982705538448954E-11,-2.7336910513042767E-11,-2.1540380590323593E-11,-1.6571632954764937E-11,-1.2387479930708878E-11,-8.929301742455209E-12,-6.1287641628382517E-12,{"$f":"AJ212-d","v":-3.9113157157544265E-12},-2.2016832801341479E-12,-9.2492680181521791E-13,-1.04638520070921E-14,6.0729199446996063E-13,9.8804298076515806E-13,1.1846634784262733E-12,1.2423395645555502E-12,1.2000400673173317E-12,1.0899614544257474E-12,9.3786090005210099E-13,7.6433304130318902E-13,5.8530957858238253E-13,4.1217029789208937E-13,2.5279778270714814E-13,1.1202150318467829E-13,-7.2997163869104043E-15,-1.0408340855860843E-13,-1.7899570714519086E-13,-2.3359092438113294E-13,-2.6950663922775675E-13,-2.895184092466252E-13,-2.9601321394068236E-13,-2.9148905511533485E-13,-2.7861046802968303E-13,-2.5945912085489908E-13,-2.3600565945969265E-13,-2.1005419625907962E-13,-1.8310353233630394E-13,-1.5615286841352827E-13,-1.3022916078853086E-13,-1.0599854327608682E-13,{"$f":"BP212-d","v":-8.3821838359199319E-14},-6.3948846218409017E-14,-4.6573855883025317E-14,-3.1613600626201332E-14,-1.9123591599168321E-14,-9.1315843775419125E-15,-1.1657341758564144E-15,4.9960036108132044E-15,9.6034291630076041E-15,1.3100631690576847E-14,1.5376588891058418E-14,1.6653345369377348E-14,1.7430501486614958E-14,1.7597034940308731E-14,1.7097434579227411E-14,1.6320278461989801E-14,1.5598633495983449E-14,1.4543921622589551E-14,1.354472090042691E-14,1.2656542480726785E-14,1.2101430968414206E-14,1.1046719095020308E-14,1.0325074129013956E-14,9.6034291630076041E-15,9.1593399531575415E-15,8.7707618945387367E-15,8.2711615334574162E-15,8.2156503822261584E-15,7.7715611723760958E-15,7.6050277186823223E-15,7.8825834748386114E-15,7.8270723236073536E-15,7.7715611723760958E-15,7.716050021144838E-15,7.5495165674510645E-15,7.716050021144838E-15,{"$f":"IF(OR(D215=0,CY$210-D$210=0),0,LN(7.71605002114484E-15/2.99760216648792E-15)/(CY$210-D$210))","v":9.5504028946102881E-3},{"$f":"IF(OR(CT215=0,CY$210-CT$210=0),0,LN(CY215/CT215)/(CY$210-CT$210))","v":-4.2706248941137889E-3}]
[]
[null,null,"Primal-side Calculations"]
[null,null,"Physical Measures",{"$f":"D$210","v":1},{"$f":"E$210","v":2},3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,{"$f":"BQ$210","v":66},67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100]
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[null,null,"LR",{"$f":"F50","v":0.17649478685011599},{"$f":"(1/(1+E321))*E221","v":0.1764947868501163},0.17649478680046782,0.176494786748319,0.17649478670797403,0.17649478668094298,0.17649478666602725,0.17649478666118085,0.17649478666429366,0.17649478667339305,0.17649478668672727,0.1764947867027912,0.17649478672033164,0.17649478673833682,0.17649478675601951,0.17649478677279409,0.17649478678825112,0.17649478680213063,0.17649478681429659,0.17649478682471206,0.17649478683341607,0.17649478684050407,0.17649478684611034,0.17649478685039319,0.17649478685352252,0.17649478685567105,0.17649478685700615,0.17649478685768499,0.17649478685785092,0.17649478685763129,0.17649478685713613,0.17649478685645847,0.17649478685567491,{"$f":"(1/(1+AK321))*AK221","v":0.17649478685484651},0.17649478685402065,0.17649478685323208,0.17649478685250514,0.17649478685185541,0.17649478685129111,0.1764947868508146,0.17649478685042436,0.17649478685011519,0.17649478684987976,0.17649478684970998,0.17649478684959655,0.17649478684953046,0.17649478684950276,0.17649478684950509,0.17649478684953046,0.17649478684957193,0.17649478684962402,0.17649478684968217,0.17649478684974257,0.1764947868498023,0.17649478684985936,0.17649478684991193,0.17649478684995928,0.17649478685000067,0.17649478685003614,0.1764947868500657,0.17649478685008974,0.17649478685010847,0.17649478685012276,0.17649478685013292,0.17649478685013992,{"$f":"(1/(1+BQ321))*BQ221","v":0.17649478685014397},0.17649478685014577,0.17649478685014591,0.17649478685014464,0.17649478685014244,0.17649478685013972,0.1764947868501367,0.17649478685013351,0.17649478685013037,0.17649478685012737,0.17649478685012468,0.17649478685012238,0.17649478685012024,0.17649478685011838,0.17649478685011699,0.17649478685011583,0.17649478685011494,0.17649478685011433,0.17649478685011394,0.17649478685011363,0.17649478685011352,0.17649478685011358,0.17649478685011352,0.17649478685011377,0.17649478685011397,0.17649478685011416,0.1764947868501143,0.17649478685011444,0.17649478685011483,0.17649478685011488,0.17649478685011502,0.17649478685011519,0.1764947868501153,0.17649478685011552,0.17649478685011546,{"$f":"IF(OR(D229=0,CY$210-D$210=0),0,LN(CY229/D229)/(CY$210-D$210))","v":-3.027880976250431E-17},{"$f":"IF(OR(CT229=0,CY$210-CT$210=0),0,LN(CY229/CT229)/(CY$210-CT$210))","v":6.6613381477509284E-16}]
[]
[]
[null,null,"Real final output, Y",{"$f":"D219","v":0.99999999999997513},{"$f":"E219","v":0.99999999999997469},1.0000000001854779,1.0000000003798135,1.0000000005439846,1.0000000006669738,1.0000000007492647,1.0000000007946515,1.0000000008083139,1.0000000007958385,1.000000000762771,1.0000000007143344,1.0000000006552607,1.0000000005896874,1.0000000005211189,1.0000000004524179,1.0000000003858358,1.0000000003230589,1.0000000002652665,1.0000000002132028,1.0000000001672458,1.000000000127474,1.0000000000937341,1.0000000000656986,1.0000000000429172,1.0000000000248646,1.000000000010973,1.0000000000006666,0.99999999999338218,0.99999999998858891,0.99999999998579558,0.99999999998456457,0.99999999998451017,0.99999999998530442,0.99999999998667,0.99999999998838218,0.99999999999026246,0.99999999999217359,0.99999999999401346,0.99999999999571165,0.99999999999722333,0.99999999999852385,0.99999999999960432,1.0000000000004703,1.0000000000011331,1.0000000000016123,1.0000000000019296,1.0000000000021085,1.0000000000021749,1.0000000000021503,1.0000000000020559,1.0000000000019125,1.0000000000017351,1.0000000000015388,1.0000000000013354,1.0000000000011331,1.0000000000009392,1.0000000000007594,1.000000000000596,1.0000000000004508,1.0000000000003255,1.0000000000002194,1.0000000000001315,1.0000000000000604,{"$f":"BP219","v":1.0000000000000051},0.99999999999996314,0.99999999999993361,0.99999999999991274,0.9999999999999003,0.99999999999989475,0.99999999999989386,0.99999999999989719,0.99999999999990274,0.99999999999990963,0.9999999999999174,0.99999999999992628,0.99999999999993405,0.99999999999994138,0.99999999999994826,0.9999999999999547,0.99999999999995981,0.99999999999996447,0.99999999999996825,0.99999999999997136,0.99999999999997224,0.99999999999997424,0.99999999999997513,0.99999999999997558,0.99999999999997558,0.99999999999997513,0.99999999999997558,0.99999999999997424,0.9999999999999738,0.9999999999999738,0.99999999999997269,0.9999999999999718,0.99999999999997136,0.99999999999997047,0.99999999999997047,0.99999999999996958,{"$f":"IF(OR(D232=0,CY$210-D$210=0),0,LN(CY232/D232)/(CY$210-D$210))","v":-5.6071869930563625E-17},{"$f":"IF(OR(CT232=0,CY$210-CT$210=0),0,LN(CY232/CT232)/(CY$210-CT$210))","v":-6.2172489379008861E-16}]
[null,null,"Output dedicated to Consumption, C (physical terms)",{"$f":"D271","v":0.74999999999998146},0.74999999999998068,0.75000000013910806,0.75000000028486014,0.75000000040798842,0.7500000005002303,0.7500000005619486,0.75000000059598815,0.75000000060623506,0.75000000059687855,0.75000000057207805,0.75000000053575111,0.75000000049144577,0.75000000044226567,0.75000000039083881,0.75000000033931336,0.75000000028937708,0.75000000024229396,0.75000000019894986,0.75000000015990231,0.75000000012543411,0.75000000009560563,0.75000000007030077,0.75000000004927381,0.75000000003218792,0.75000000001864853,0.75000000000822964,0.75000000000049993,0.74999999999503653,0.74999999999144151,0.74999999998934663,0.74999999998842293,0.74999999998838285,0.74999999998897837,0.74999999999000255,0.74999999999128697,0.74999999999269695,0.74999999999413003,0.74999999999551048,0.74999999999678391,0.74999999999791722,0.74999999999889311,0.74999999999970335,0.75000000000035227,0.75000000000084954,0.75000000000120881,0.75000000000144695,0.7500000000015814,0.75000000000163103,0.75000000000161238,0.75000000000154232,0.7500000000014343,0.75000000000130163,0.75000000000115474,0.75000000000100164,0.75000000000084999,0.75000000000070466,0.75000000000056954,0.75000000000044698,0.7500000000003384,0.75000000000024425,0.75000000000016431,0.75000000000009859,0.75000000000004552,{"$f":"BP271","v":0.75000000000000366},0.74999999999997269,0.7499999999999496,0.74999999999993494,0.74999999999992562,0.74999999999992151,0.74999999999992084,0.74999999999992339,0.74999999999992695,0.74999999999993228,0.74999999999993849,0.74999999999994438,0.74999999999995048,0.7499999999999567,0.7499999999999617,0.74999999999996625,0.74999999999997025,0.7499999999999738,0.74999999999997624,0.74999999999997824,0.74999999999998002,0.74999999999998113,0.74999999999998168,0.74999999999998201,0.74999999999998179,0.74999999999998201,0.74999999999998157,0.74999999999998146,0.74999999999998079,0.7499999999999799,0.74999999999997957,0.74999999999997913,0.74999999999997857,0.74999999999997846,0.74999999999997768,0.74999999999997757,{"$f":"IF(OR(D233=0,CY$210-D$210=0),0,LN(CY233/D233)/(CY$210-D$210))","v":-5.270755773472979E-17},{"$f":"IF(OR(CT233=0,CY$210-CT$210=0),0,LN(CY233/CT233)/(CY$210-CT$210))","v":-5.3290705182007581E-16}]
[null,null,"Output dedicated to reinvestment, I (physical terms)",0.24999999999999384,0.24999999999999362,0.25000000004636935,0.25000000009495338,0.25000000013599616,0.25000000016674351,0.25000000018731622,0.25000000019866281,0.25000000020207841,0.25000000019895957,0.25000000019069274,0.2500000001785837,0.25000000016381529,0.25000000014742191,0.25000000013027962,0.25000000011310453,0.25000000009645906,0.25000000008076473,0.25000000006631662,0.25000000005330081,0.25000000004181144,0.25000000003186856,0.25000000002343359,0.25000000001642464,0.25000000001072936,0.25000000000621619,0.25000000000274319,0.25000000000016664,0.24999999999834555,0.24999999999714723,0.2499999999964489,0.24999999999614098,0.2499999999961276,0.24999999999632616,0.24999999999666755,0.24999999999709571,0.24999999999756567,0.2499999999980434,0.24999999999850353,0.249999999998928,0.24999999999930575,0.24999999999963105,0.24999999999990111,0.25000000000011746,0.25000000000028322,0.25000000000040296,0.25000000000048234,0.25000000000052713,0.25000000000054368,0.25000000000053746,0.25000000000051414,0.25000000000047817,0.25000000000043393,0.25000000000038491,0.25000000000033396,0.25000000000028338,0.25000000000023492,0.2500000000001899,0.25000000000014899,0.25000000000011285,0.25000000000008149,0.25000000000005479,0.25000000000003286,0.25000000000001521,0.25000000000000122,0.2499999999999909,0.24999999999998324,0.24999999999997835,0.24999999999997524,0.24999999999997385,0.24999999999997363,0.24999999999997446,0.24999999999997569,0.24999999999997746,0.24999999999997957,0.24999999999998149,0.24999999999998354,0.24999999999998559,0.24999999999998726,0.24999999999998873,0.24999999999999012,0.24999999999999128,0.24999999999999212,0.24999999999999278,0.24999999999999339,0.24999999999999373,0.24999999999999395,0.249999999999994,0.24999999999999395,0.249999999999994,0.24999999999999389,0.24999999999999384,0.24999999999999362,0.24999999999999334,0.24999999999999323,0.24999999999999306,0.24999999999999289,0.24999999999999284,0.24999999999999262,0.24999999999999256,{"$f":"IF(OR(D234=0,CY$210-D$210=0),0,LN(CY234/D234)/(CY$210-D$210))","v":-5.158612033611852E-17},{"$f":"IF(OR(CT234=0,CY$210-CT$210=0),0,LN(CY234/CT234)/(CY$210-CT$210))","v":-5.3290705182007581E-16}]
[null,null,"Surplus Production",{"$f":"D232-SUM(D233:D234)","v":0},0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,{"$f":"BP232-SUM(BP233:BP234)","v":0},0,0,0,0,0,0,0,0,0,0,0,0,-8.8817841970012523E-16,0,0,0,0,0,0,-1.1102230246251565E-15,0,0,0,0,-8.8817841970012523E-16,0,-1.1102230246251565E-15,0,0,0,0,{"$f":"CV232-SUM(CV233:CV234)","v":0},{"$f":"CW232-SUM(CW233:CW234)","v":-8.8817841970012523E-16},{"$f":"CX232-SUM(CX233:CX234)","v":0},{"$f":"CY232-SUM(CY233:CY234)","v":0},{"$f":"IF(OR(D235=0,CY235/D235=0,CY$210-D$210=0),0,LN(CY235/D235)/(CY$210-D$210))","v":{"$error":"#DIV/0!"}},{"$f":"IF(OR(CT235=0,CY$210-CT$210=0),0,LN(CY235/CT235)/(CY$210-CT$210))","v":0}]
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[]
[null,null,"Wealth, Consumption, Savings and Leisure"]
[null,null,"Utility function dynamic parameter multipliers",{"$f":"D$210","v":1},{"$f":"E$210","v":2},3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,{"$f":"BQ$210","v":66},67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100]
[null,null,"Gamma",{"$f":"gamma","v":0.3},{"$f":"gamma*E260","v":0.3},0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,{"$f":"gamma*AK260","v":0.3},0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,{"$f":"gamma*BQ260","v":0.3},0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,{"$f":"LN(CY254/D254)/(CY$210-D$210)","v":0},{"$f":"IF(OR(CT254=0,CY$210-CT$210=0),0,LN(CY254/CT254)/(CY$210-CT$210))","v":0}]
[null,null,"Nu",{"$f":"nu","v":0.1},{"$f":"nu*E261","v":0.1},0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,{"$f":"nu*AK261","v":0.1},0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,{"$f":"nu*BQ261","v":0.1},0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0,0]
[null,null,"Omega",{"$f":"omega","v":0.5},{"$f":"1-SUM(E254:E255)-E257","v":0.5},{"$f":"1-SUM(F254:F255)-F257","v":0.5},0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,{"$f":"1-SUM(BR254:BR255)-BR257","v":0.5},0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0,0]
[null,null,"Pi",{"$f":"pi","v":0.1},{"$f":"pi*E262","v":0.1},0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,{"$f":"pi*AK262","v":0.1},0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,{"$f":"pi*BQ262","v":0.1},0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0,0]
[null,null,"Sum (= unity for CRS)",{"$f":"SUM(D254:D257)","v":1},{"$f":"SUM(E254:E257)","v":1},{"$f":"SUM(F254:F257)","v":1},1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,{"$f":"SUM(BR254:BR257)","v":1},1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
[]
[null,null,"Gamma multiplier",1,1,{"$f":"E260*EXP(Gamma_rate_of_change)","v":1},1,1,1,1,1,1,1,{"$f":"M260*EXP(Gamma_rate_of_change)","v":1},1,1,1,{"$f":"Q260*EXP(Gamma_rate_of_change)","v":1},1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,{"$f":"AJ260*EXP(Gamma_rate_of_change)","v":1},1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,{"$f":"BP260*EXP(Gamma_rate_of_change)","v":1},1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,{"$f":"LN(CY260/D260)/(CY$210-D$210)","v":0},{"$f":"IF(OR(CT260=0,CY$210-CT$210=0),0,LN(CY260/CT260)/(CY$210-CT$210))","v":0}]
[null,null,"Nu multiplier",1,{"$f":"D261*EXP(Nu_rate_of_change)","v":1},1,1,1,1,1,1,1,1,{"$f":"M261*EXP(Nu_rate_of_change)","v":1},1,1,1,{"$f":"Q261*EXP(Nu_rate_of_change)","v":1},1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,{"$f":"AJ261*EXP(Nu_rate_of_change)","v":1},1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,{"$f":"BP261*EXP(Nu_rate_of_change)","v":1},1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0]
[null,null,"Pi multiplier",1,{"$f":"D262*EXP(Pi_rate_of_change)","v":1},1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,{"$f":"AJ262*EXP(Pi_rate_of_change)","v":1},1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,{"$f":"BP262*EXP(Pi_rate_of_change)","v":1},1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0]
[]
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[]
[]
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[]
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[]
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{"sheet":"Test Case #1","index":3,"n_rows":332,"n_cols":126,"rows_kept":332,"cut":false,"hidden":false,"merged":[[15,117,15,120],[128,9,128,10],[1,4,1,6],[1,8,1,9],[1,10,1,11],[1,12,1,13],[1,14,1,15],[1,16,1,17]]}
[null,"© Harry D. Saunders, 2018"]
[null,null,"Link to User Guide",null,"Return to Base Case",null,null,null,"Inputs - parameters",null,"Inputs - init. cond's",null,"Outputs - numeric",null,"Outputs - graphics",null,"Calculations"]
[]
[null,null,"Inputs - parameters"]
[]
[null,null,null,"HUMAN ECONOMY Household Utility Function Parameters"]
[null,null,null,null,"û",null,"g",null,"n",null,"w",null,"p",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"HUMAN ECONOMY Household Utility Function Parameters"]
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[null,null,null,null,null,"Gamma rate of change",0,"%/period",null,null,null,"Pi rate of change",0,"%/period"]
[null,null,null,null,null,null,null,"Nu rate of change",0,"%/period",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Gamma rate of change",0,"%/period",null,null,null,"Pi rate of change",0,"%/period"]
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[]
[null,null,null,"HUMAN ECONOMY Production Function Parameters",null,null,null,null,null,null,null,"Human Economy Growth Inputs",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Initial Conditions Flag"]
[null,null,null,null,"a","a","b","s","r",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"HUMAN ECONOMY Production Function Parameters",null,null,null,null,null,null,null,"Human Economy Growth Inputs",null,null,null,null,null,null,null,null,1,2,3,4,1,null,null,"Initial K multiplier",false]
[null,null,null,null,0.75,0.25,0.25,0.67500000000000004,{"$f":"(sigma-1)/sigma","v":-0.4814814814814814},null,null,"n",5.0000000000000001E-3,"Growth rate of workforce (or population proxy)",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"a","a","b","s","r",null,null,null,null,null,null,null,null,null,null,"KX0/LX0",{"$f":"1/(((1-alpha)/alpha)*( N47/N48))","v":1},{"$f":"K_multiplier*DN18","v":1.5},{"$f":"DN18/L_multiplier","v":2},{"$f":"K_multiplier/L_multiplier","v":3},2,null,null,"Initial L multiplier",false]
[null,null,null,null,null,null,null,"substitution elasticity",null,null,null,"d",0.25,"Capital depreciation rate",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0.75,0.25,0.25,0.67500000000000004,{"$f":"(sigma-1)/sigma","v":-0.4814814814814814},null,null,"n",0,"Growth rate of workforce",null,null,null,null,null,"KX0",{"$f":"DN20*DN28","v":0.82350521314988401},{"$f":"K_multiplier*DN19","v":1.2352578197248261},{"$f":"DN19","v":0.82350521314988401},{"$f":"K_multiplier*DN19","v":1.2352578197248261},3]
[null,null,null,null,"lKx","lLx","lXR","lKr","lLr",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"substitution elasticity",null,null,null,"d",0.25,"Capital depreciation rate",null,null,null,null,null,"LX0",{"$f":"DN27/(1+DN27)","v":0.82350521314988401},{"$f":"DN20","v":0.82350521314988401},{"$f":"L_multiplier*DN20","v":0.411752606574942},{"$f":"L_multiplier*DN20","v":0.411752606574942},4,null,null,"Initial conditions flag",{"$f":"IF(AND(Initial_K_multiplier=FALSE,Initial_L_multiplier=FALSE),1,IF( AND(Initial_K_multiplier=TRUE,Initial_L_multiplier=FALSE),2,IF(AND(Initial_K_multiplier=FALSE,Initial_L_multiplier=TRUE),3,4)))","v":1}]
[null,null,null,null,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"lKx","lLx","lXR","lKr","lLr",null,null,null,null,null,null,null,null,null,null,"KR0",{"$f":"1-DN19","v":0.17649478685011599},{"$f":"K_multiplier*DN21","v":0.26474218027517399},{"$f":"DN21","v":0.17649478685011599},{"$f":"K_multiplier*DN21","v":0.26474218027517399},5]
[null,null,null,"Tech gains:","capital X","labor X","R efficiency","capital R","labor R",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,"LR0",{"$f":"1-DN20","v":0.17649478685011599},{"$f":"DN22","v":0.17649478685011599},{"$f":"L_multiplier*DN22","v":8.8247393425057996E-2},{"$f":"L_multiplier*DN22","v":8.8247393425057996E-2},6]
[null,null,null,null,"e",null,"lW",null,null,null,null,"Initial Conditions Adjustors",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Tech gains:","capital X","labor X","R efficiency","capital R","labor R",null,null,null,null,null,null,null,null,null,null,"X0",{"$f":"(H47*DN19)^alpha*(H48*DN20)^(1-alpha)","v":0.82350521314988412},{"$f":"(H47*DO19)^alpha*(H48*DO20)^(1-alpha)","v":0.91135833017193613},{"$f":"(H47*DP19)^alpha*(H48*DP20)^(1-alpha)","v":0.4896591293598373},{"$f":"(H47*DQ19)^alpha*(H48*DQ20)^(1-alpha)","v":0.5418969052787328},7]
[null,null,null,null,0.1,null,0,null,null,null,null,null,"Initial K multiplier",1.5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"e",null,"lW",null,null,null,null,"Initial Conditions Adjustors",null,null,null,null,null,null,null,"Rs0",{"$f":"(1/tRbase)*(H46*H49*DN21)^beta*(H46*H50*DN22)^(1-beta)","v":2.0608560023563265},{"$f":"(1/tRbase)*(H46*H49*DO21)^beta*(H46*H50*DO22)^(1-beta)","v":2.2807120769136295},{"$f":"(1/tRbase)*(H46*H49*DP21)^beta*(H46*H50*DP22)^(1-beta)","v":1.225392310499104},{"$f":"(1/tRbase)*(H46*H49*DQ21)^beta*(H46*H50*DQ22)^(1-beta)","v":1.3561195145691607},8]
[null,null,null,null,"waste production",null,"waste improvement",null,null,null,null,null,"Initial L multiplier",0.5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,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,null,0,null,null,null,null,null,"Initial K multiplier",1.5,null,null,null,null,null,"R0",{"$f":"(1/tRbase)*(H49*DN21)^beta*(H50*DN22)^(1-beta)","v":0.17649478685011602},{"$f":"(1/tRbase)*(H49*DO21)^beta*(H50*DO22)^(1-beta)","v":0.19532358952838549},{"$f":"(1/tRbase)*(H49*DP21)^beta*(H50*DP22)^(1-beta)","v":0.10494442814152331},{"$f":"(1/tRbase)*(H49*DQ21)^beta*(H50*DQ22)^(1-beta)","v":0.11614010119751349},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,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"waste production",null,"waste improvement",null,null,null,null,null,"Initial L multiplier",0.5,null,null,null,null,null,"KX0/KR0",{"$f":"(â/b˄)*(alpha/beta)*(R46/R47)*(N47/N47)*(R47/R46)^(1/(1-rho))","v":4.665889728795368},{"$f":"DO19/DO21","v":4.665889728795368},4.665889728795368,4.665889728795368,10]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"LX0/LR0",{"$f":"((1-alpha)/(1-beta))*(beta/alpha)*DN26","v":4.665889728795368},4.665889728795368,4.665889728795368,4.665889728795368,11]
[null,null,null,"NATURAL ECONOMY Production Function Parameters",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"KX0/LX0",{"$f":"1/(((1-alpha)/alpha)*(N47/N48))","v":1},{"$f":"DO19/DO20","v":1.5},{"$f":"DP19/DP20","v":2},{"$f":"DQ19/DQ20","v":3},12]
[null,null,null,null,"x",null,null,"z",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"NATURAL ECONOMY Production Function Parameters",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Rreference",{"$f":"(H49*DN21)^beta*(H50*DN22)^(1-beta)","v":0.17649478685011602},{"$f":"(H49*DO21)^beta*(H50*DO22)^(1-beta)","v":0.19532358952838549},{"$f":"(H49*DP21)^beta*(H50*DP22)^(1-beta)","v":0.10494442814152331},{"$f":"(H49*DQ21)^beta*(H50*DQ22)^(1-beta)","v":0.11614010119751349},13]
[null,null,null,null,1.1766319528100096E-2,null,null,0.1209685013951559,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"x",null,null,"z"]
[null,null,null,null,"absorptive capacity multiplier",null,null,"replenishment capacity multiplier",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,1.1766319528100096E-2,null,null,0.1209685013951559]
[null,null,null,null,"(fraction of natural capital capacity)",null,null,"(fraction of natural capital capacity)",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"absorptive capacity multiplier",null,null,"replenishment capacity multiplier"]
[null,null,null,null,"fA",null,null,"fR",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"(fraction of natural capital capacity)",null,null,"(fraction of natural capital capacity)"]
[null,null,null,null,19.094683435333646,null,null,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,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"fA",null,null,"fR"]
[null,null,null,null,"Absorption curve shaping factor",null,null,"Replenishment curve shaping factor",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,19.094683435333646,null,null,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,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Absorption curve shaping factor",null,null,"Replenishment curve shaping factor"]
[null,null,null,"ϴ",0.2,"Ricardian Resource supply curve shaping factor"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"ϴ",0.2,"Ricardian Resource supply curve shaping factor"]
[]
[null,null,"Inputs - initial conditions"]
[]
[null,null,null,"Human Economy"]
[null,null,null,null,"Primal (Production)",null,null,null,null,null,null,null,"Dual (Cost)",null,null,null,null,null,null,null,"Welfare"]
[null,null,null,null,null,null,"LX-1",0.82350521314988412,"KX-1",0.82350521314988412]
[null,null,null,null,"Y-1",1,null,null,"X-1",0.82350521314988412,null,null,"c-1",1]
[null,null,null,null,"Y0",{"$f":"(a*J46^rho+(1-a)*J47^rho)^(1/rho)","v":0.99999999999997513},"tXR0",11.676582856276992,"X0",{"$f":"HLOOKUP(Initial_conditions_flag,$DN$17:$DQ$37,DR23)","v":0.82350521314988412},null,null,"c0",{"$f":"(â*R46^(rho/(rho-1))+b˄*R47^(rho/(rho-1)))^((rho-1)/rho)","v":1.0000000000000369},"share, KX",{"$f":"N47*F47","v":0.20587630328747347},"Xc",{"$f":"((N47/H47)^alpha)*((N48/H48)^(1-alpha))","v":0.56987676423870126},null,null,"u0",{"$f":"û*V49^gamma*V50^nu*V51^omega*V52^pi","v":0.99999999999999989},null,"u0/worker",{"$f":"V46/$F$58","v":0.99999999999999989}]
[null,null,null,null,"KX0",{"$f":"HLOOKUP(Initial_conditions_flag,$DN$17:$DQ$37,DR19)","v":0.82350521314988401},"tKX0",1,"Rs0",{"$f":"HLOOKUP(Initial_conditions_flag,$DN$17:$DQ$37,DR24)","v":2.0608560023563265},null,null,"pk0",{"$f":"N45*a*alpha*(J45/J44)*(F45/J45)^(1-rho)","v":0.250000000000003},"share, LX",{"$f":"N48*F48","v":0.61762890986242036},"Rc",{"$f":"((N47/(H46*H49))^beta)*((N48/(H46*H50))^(1-beta))","v":4.8805097454719115E-2},null,null,"Wmax",{"$f":"N48*(Ł0)+N47*(F47+F49)","v":2.2500000000000275},null,"Budget0/worker",{"$f":"V48/$F$58","v":1.000000000000012}]
[null,null,null,null,"LX0",{"$f":"HLOOKUP(Initial_conditions_flag,$DN$17:$DQ$37,DR20)","v":0.82350521314988401},"tLX0",1,"R0",{"$f":"HLOOKUP(Initial_conditions_flag,$DN$17:$DQ$37,DR25)","v":0.17649478685011602},null,null,"pL0",{"$f":"N45*a*(1-alpha)*(J45/H44)*(F45/J45)^(1-rho)","v":0.75000000000000899},"share, KR",{"$f":"N47*F49","v":4.4123696712529525E-2},null,null,null,null,"Budget0",{"$f":"N48*(F48+F50)+N47*(F47+F49)","v":1.000000000000012},null,"C0/worker",{"$f":"V49/$F$58","v":0.74999999999998146}]
[null,null,null,null,"KR0",{"$f":"HLOOKUP(Initial_conditions_flag,$DN$17:$DQ$37,DR21)","v":0.17649478685011599},"tKR0",1,null,null,null,null,null,null,"share, LR",{"$f":"N48*F50","v":0.13237109013758858},null,null,null,null,"C0",{"$f":"(gamma/(1-pi))*V47/N46","v":0.74999999999998146},null,"S0/worker",{"$f":"V50/$F$58","v":0.24999999999999384}]
[null,null,null,null,"LR0",{"$f":"HLOOKUP(Initial_conditions_flag,$DN$17:$DQ$37,DR22)","v":0.17649478685011599},"tLR0",1,"KX0/KR0",{"$f":"HLOOKUP(Initial_conditions_flag,$DN$17:$DQ$37,DR26)","v":4.665889728795368},null,null,"pR0",{"$f":"(N47/$H$49)^beta*(N48/$H$50)^(1-beta)*beta^beta*(1-beta)^(1-beta)","v":0.32475952641916844},null,null,null,null,null,null,"S0",{"$f":"(nu/(1-pi))*V47/N46","v":0.24999999999999384},null,"l0/worker",{"$f":"V51/$F$58","v":1.6666666666666674}]
[null,null,null,null,null,null,null,null,"LX0/LR0",{"$f":"HLOOKUP(Initial_conditions_flag,$DN$17:$DQ$37,DR27)","v":4.665889728795368},null,null,null,null,null,null,"â",{"$f":"a^(1/(1-rho))*(alpha^alpha*(1-alpha)^(1-alpha))^(rho/(1-rho))","v":0.98863855734358319},null,null,"l0",{"$f":"Ł0-(F48+F50)","v":1.6666666666666674},null,"N0/worker",{"$f":"V52/$F$58","v":1}]
[null,null,null,null,"W",{"$f":"epsilon*J48","v":1.7649478685011603E-2},null,null,"KX0/LX0",{"$f":"HLOOKUP(Initial_conditions_flag,$DN$17:$DQ$37,DR28)","v":1},null,null,null,null,null,null,"b˄",{"$f":"(1-a)^(1/(1-rho))*(beta^beta*(1-beta)^(1-beta))^(rho/(1-rho))","v":0.47095639364105413},null,null,"N0",{"$f":"F71","v":1}]
[]
[]
[null,null,null,null,"Initial Labor Force & Employment",null,null,null,null,null,null,null,"Checks:"]
[null,null,null,null,null,null,null,null,null,null,null,null,"pk0",{"$f":"N46*a*alpha*J46/F47*(F46/J46)^(1-rho)","v":0.25000000000000305},null,"pk0",{"$f":"N46*(1-a)*beta*(J47/F49)*(F46/J47)^(1-rho)","v":0.25000000000000311}]
[null,null,null,null,"Ł0",2.6666666666666674,"Initial labor force",null,null,null,null,null,"pL0",{"$f":"N46*a*(1-alpha)*(J46/F48)*(F46/J46)^(1-rho)","v":0.75000000000000921},null,"pL0",{"$f":"N46*(1-a)*(1-beta)*(J47/F50)*(F46/J47)^(1-rho)","v":0.75000000000000944}]
[null,null,null,null,"L0",{"$f":"Ł0-V51","v":1},"Initial labor employed"]
[]
[]
[]
[null,null,null,null,"Initial Shadow Price (Lagrange multiplier)"]
[]
[null,null,null,null,null,{"$f":"û*(gamma/N48)*((gamma/(1-pi))*(V47/N46))^pi*(V52^pi)","v":0.37698959433260953},"Houshold budget constraint"]
[]
[]
[null,null,null,"Natural Economy"]
[null,null,null,null,"Natural Capital",null,null,null,null,null,null,null,"Natural Capital - Base Conditions"]
[]
[null,null,null,null,"N-1",1,"Pre-existing Stock of Natural Capital",null,null,null,null,null,"N-1",1,"Pre-existing Stock of Natural Capital"]
[null,null,null,null,"N0",1,"Initial Stock of Natural Capital",null,null,null,null,null,"N0",1,"Steady-state Natural Capital Equilibrium Value"]
[null,null,null,null,"Ncapacity",1.5,"Maximum Capacity (Stock) of Natural Capital",null,null,null,null,null,"Ncapacity",1.5,"Maximum Capacity (Stock) of Natural Capital"]
[null,null,null,null,"Ncritical",0.1,"Critical Threshold for Natural Capital",null,null,null,null,null,"Ncritical",0.1,"Critical Threshold for Natural Capital"]
[]
[null,null,null,null,"cN",1,"Natural capital unit cost function",null,null,null,null,null,"cN",1,"Natural capital unit cost function"]
[]
[null,null,null,null,"R0",{"$f":"zeta*Ncapacity*(1-EXP(-psi_Replen*(F71-Ncritical)))","v":0.17649478745725461},"Replenishment",null,null,null,null,null,"R0",0.1764947868501161,"Replenishment",null,null,"ϴ",{"$f":"theta","v":0.2},"Ricardian supply curve shaping factor"]
[null,null,null,null,"R0",{"$f":"J48","v":0.17649478685011602},"Raw Resource Use",null,null,null,null,null,"Rreference",0.17649478685011602,"\"Resources\" (w/o tR)",null,null,"kbase",{"$f":"1/(N75+(1/S77)*LN((N72-N73)/(1-N73)))","v":0.31160765680753116}]
[null,null,null,null,"A0",{"$f":"MIN(xi*Ncapacity,F80)*(1-EXP(-psi_A*(F71-Ncritical)))","v":1.7649478077873069E-2},"Absorption",null,null,null,null,null,"A0",3.5298957370023205E-2,"Absorption",null,null,"tRbase",{"$f":"kbase*(cN+(1/theta)*LN((N72-N73)/(N71-N73)))","v":0.99999999999999989}]
[null,null,null,null,"W0",{"$f":"epsilon*F78","v":1.7649478685011603E-2},"Waste Production",null,null,null,null,null,"W0",3.5298957370023205E-2,"Waste Production"]
[]
[]
[]
[null,null,"Outputs - Numeric"]
[]
[null,null,null,"Period 1 Value","Period 100 Value","Growth rate, period 1 to 100","Growth rate, period 95 to 100",null,"Per Worker, period 1","Per Person, period 1","Per Worker, period 100","Per Person, period 100",null,"Golden Rule Condi-tions ",null,null,null,"Search Targets"]
[null,null,"Household Welfare"]
[null,null,"u (utility)",{"$f":"D265","v":0.99999999999999989},{"$f":"CY265","v":1.3505528571226297},{"$f":"CZ265","v":3.0354952768979425E-3},{"$f":"DA265","v":1.6659996380876095E-3},null,{"$f":"D88/$D$221","v":0.99999999999999989},{"$f":"E88/$D$220","v":0.50645732142098598},{"$f":"E88/$CY$221","v":0.81872533376737233},{"$f":"E88/$CY$220","v":0.30718189327776391},null,{"$f":"E90/E94","v":0.2500002608236041},"Savings rate",null,null,{"$f":"(E88-D88)*10^6","v":350552.85712262982}]
[null,null,"C (consumption)",{"$f":"D271","v":0.74999999999998146},{"$f":"CY271","v":1.0062822924726413},2.9691385210685339E-3,1.5234472844229707E-3,null,{"$f":"D89/$D$221","v":0.74999999999998146},{"$f":"E89/$D$220","v":0.37735585967724039},{"$f":"E89/$CY$221","v":0.61002337037302112},{"$f":"E89/$CY$220","v":0.22887789851646456},null,{"$f":"(E103/E102)*E95/E94","v":0.24937512024253494},"\"Golden Rule\" savings rate",null,null,{"$f":"(E89-D89)*10^6","v":256282.29247265987}]
[null,null,"S (savings)",{"$f":"D272","v":0.24999999999999384},0.33542743082421383,2.9691385210685352E-3,1.5234472844229707E-3,null,{"$f":"D90/$D$221","v":0.24999999999999384},{"$f":"E90/$D$220","v":0.12578528655908014},{"$f":"E90/$CY$221","v":0.20334112345767374},{"$f":"E90/$CY$220","v":7.6292632838821525E-2},null,null,null,null,null,85427.430824219991,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"F89*10^9","v":2969138.5210685339}]
[null,null,"l (leisure)",{"$f":"D273","v":1.6666666666666674},2.7470101516348233,5.0473482714685066E-3,4.9932525547623568E-3,null,{"$f":"D91/$D$221","v":1.6666666666666674},{"$f":"E91/$D$220","v":1.0301288068630585},{"$f":"E91/$CY$221","v":1.6652786237861168},{"$f":"E91/$CY$220","v":0.62480470481563877},null,{"$f":"(E103/E102)-d","v":9.5928758443986073E-4},"Real \"social\" return ",null,null,1080343.4849681559]
[null,null,"N (natural  capital)",{"$f":"D300","v":1},{"$f":"CY300","v":0.51218165364502433},{"$f":"CZ300","v":-6.7583426726372494E-3},{"$f":"DA300","v":-1.4400055530627476E-2},null,{"$f":"D92/$D$221","v":1},{"$f":"E92/$D$220","v":0.19206812011688407},{"$f":"E92/$CY$221","v":0.31049217594004297},{"$f":"E92/$CY$220","v":0.11649520360425902},null,{"$f":"G94","v":1.5234046402717127E-3},"Real output growth rate",null,null,-487818.34635497566]
[null,null,"Producers -Primal"]
[null,null,"Y (value-added output)",{"$f":"D232","v":0.99999999999997513},{"$f":"CY232","v":1.3417083235000529},{"$f":"CZ232","v":2.9691279827465948E-3},{"$f":"DA232","v":1.5234046402717127E-3},null,{"$f":"D94/$D$221","v":0.99999999999997513},{"$f":"E94/$D$220","v":0.50314062131251969},{"$f":"E94/$CY$221","v":0.81336364525294536},{"$f":"E94/$CY$220","v":0.30517021297290686},null,{"$f":"E119","v":1.0071210487936195},"Consume your wages",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Y (value-added output)",{"$f":"D94","v":0.99999999999997513},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,7.8469733551375764E-2]
[null,null,"K (capital/wealth)",{"$f":"D223","v":1},{"$f":"CY223","v":1.3332388600707084},{"$f":"CZ223","v":2.9051637878230487E-3},{"$f":"DA223","v":1.8290212607594853E-3},null,1,0.49996457252651549,0.80822932989723684,0.30324384200745219,null,{"$f":"E120","v":0.33458867450323565},"Invest your returns",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"K (capital/wealth)",{"$f":"D95","v":1},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"F94*10^9","v":2969127.9827465951}]
[null,null,"L (employed labor force)",{"$f":"D221","v":1},{"$f":"CY221","v":1.6495799035655194},{"$f":"CZ221","v":5.0557641575326127E-3},{"$f":"DA221","v":5.0112368815263975E-3},null,1,0.61859246383706956,1,0.37519529518436118,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"L (employed labor force)",1]
[null,null,"Ł (available labor force)",{"$f":"D220","v":2.6666666666666674},{"$f":"CY220","v":4.3965900552003427},{"$f":"CZ220","v":5.0505050505050492E-3},{"$f":"DA220","v":4.9999999999999602E-3},null,2.6666666666666674,1.648721270700128,2.6652786237861168,1,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"I (investment)",{"$f":"D98","v":0.24999999999999384}]
[null,null,"I (investment)",{"$f":"D222","v":0.24999999999999384},{"$f":"CY222","v":0.33498428133678432},{"$f":"CZ222","v":2.9557847624168566E-3},{"$f":"DA222","v":1.6165989320208345E-3},null,0.24999999999999384,0.12561910550129407,0.20307247961297628,7.6191838932210806E-2,{"$f":"E98/E95","v":0.25125601373411693},"Investment fraction",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"R (raw resource use)",{"$f":"D99","v":0.17649478685011602}]
[null,null,"R (raw resource use)",{"$f":"D315","v":0.17649478685011602},{"$f":"CY315","v":0.15487557990444378},{"$f":"CZ315","v":-1.3198914686491424E-3},{"$f":"DA315","v":-5.1192740537080832E-3},null,0.17649478685011602,5.8078342464166405E-2,9.3887892044322727E-2,3.5226295369807099E-2,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"W (waste produced)",{"$f":"D100","v":1.7649478685011603E-2}]
[null,null,"W (waste produced)",{"$f":"D306","v":1.7649478685011603E-2},{"$f":"CY306","v":1.5575625021174905E-2},{"$f":"CZ306","v":-1.2626166974175508E-3},{"$f":"DA306","v":-4.8649736945873285E-3},null,1.7649478685011603E-2,5.8408593829405876E-3,9.4421767551293757E-3,3.5426602948236798E-3]
[null,null,"Producers -Dual"]
[null,null,"c (unit cost/price of value-added output)",{"$f":"D211","v":1.0000000000000369},{"$f":"CY211","v":1.1657324736018575},1.5489860823584298E-3,2.6922783360630504E-3,null,{"$f":"D102/$D$221","v":1.0000000000000369},{"$f":"E102/$D$220","v":0.43714967760069645},{"$f":"E102/$CY$221","v":0.7066844540735252},{"$f":"E102/$CY$220","v":0.26514468234831545}]
[null,null,"r=pK (price/cost of capital)",{"$f":"D212","v":0.250000000000003},0.292551391089169,1.5876710041238355E-3,2.3325808028296187E-3,null,{"$f":"D103/$D$221","v":0.250000000000003},{"$f":"E103/$D$220","v":0.10970677165843834},{"$f":"E103/$CY$221","v":0.17734902714129069},{"$f":"E103/$CY$220","v":6.654052058893585E-2},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"-F102+F105","v":-2.0782097503999728E-3}]
[null,null,"r-d (net return to capital)",{"$f":"D215","v":2.9976021664879227E-15},{"$f":"CY215","v":4.2551391089168999E-2},{"$f":"CZ215","v":9.5504028946102881E-3},{"$f":"DA215","v":1.6615370141124599E-2},null,{"$f":"D104/$D$221","v":2.9976021664879227E-15},{"$f":"E104/$D$220","v":1.5956771658438371E-2},{"$f":"E104/$CY$221","v":2.5795289453512008E-2},{"$f":"E104/$CY$220","v":9.6782712408764772E-3}]
[null,null,"w=pL (price/cost of labor)",{"$f":"D213","v":0.75000000000000899},{"$f":"CY213","v":0.71171678855267517},-5.2922366804154298E-4,-7.7752693427636185E-4,null,{"$f":"D105/$D$221","v":0.75000000000000899},{"$f":"E105/$D$220","v":0.26689379570725313},{"$f":"E105/$CY$221","v":0.43145335792120154},{"$f":"E105/$CY$220","v":0.16187926998352906}]
[null,null,"pR (price/cost of raw resources)",{"$f":"D214","v":0.32475952641916844},{"$f":"CY214","v":0.71016035603359329},{"$f":"CZ214","v":7.9030889733150735E-3},{"$f":"DA214","v":1.2533283808625659E-2},null,{"$f":"D106/$D$221","v":0.32475952641916844},{"$f":"E106/$D$220","v":0.26631013351259741},{"$f":"E106/$CY$221","v":0.43050982525829889},{"$f":"E106/$CY$220","v":0.16152526096755521}]
[null,null,"Natural Economy"]
[null,null,"N (natural  capital)",{"$f":"D300","v":1},{"$f":"CY300","v":0.51218165364502433},{"$f":"CZ300","v":-6.7583426726372494E-3},{"$f":"DA300","v":-1.4400055530627476E-2},null,{"$f":"D108/$D$221","v":1},{"$f":"E108/$D$220","v":0.19206812011688407},{"$f":"E108/$CY$221","v":0.31049217594004297},{"$f":"E108/$CY$220","v":0.11649520360425902}]
[null,null,"*R* (natural  capital replenishment)",{"$f":"E302","v":0.17649478745725461},{"$f":"CY302","v":0.14766080785313102},{"$f":"CZ302","v":-1.8017529137920357E-3},{"$f":"DA302","v":-6.259733308550083E-3},null,{"$f":"D109/$D$221","v":0.17649478745725461},{"$f":"E109/$D$220","v":5.5372802944924117E-2},{"$f":"E109/$CY$221","v":8.9514189360555635E-2},{"$f":"E109/$CY$220","v":3.3585302700322478E-2}]
[null,null,"R (raw resource use)",{"$f":"D99","v":0.17649478685011602},{"$f":"E99","v":0.15487557990444378},{"$f":"F99","v":-1.3198914686491424E-3},{"$f":"G99","v":-5.1192740537080832E-3},null,{"$f":"D110/$D$221","v":0.17649478685011602},{"$f":"E110/$D$220","v":5.8078342464166405E-2},{"$f":"K99","v":9.3887892044322727E-2},{"$f":"L99","v":3.5226295369807099E-2}]
[null,null,"A (natural  capital absorption of waste)",{"$f":"D305","v":1.7649478685011589E-2},{"$f":"CY305","v":1.5659505326882813E-2},{"$f":"CZ305","v":-1.2083651004147393E-3},{"$f":"DA305","v":-4.6307686262527809E-3},null,{"$f":"D111/$D$221","v":1.7649478685011589E-2},{"$f":"E111/$D$220","v":5.8723144975810536E-3},{"$f":"E111/$CY$221","v":9.4930262505230831E-3},{"$f":"E111/$CY$220","v":3.5617387862578978E-3}]
[null,null,"W (waste produced)",{"$f":"D100","v":1.7649478685011603E-2},{"$f":"E100","v":1.5575625021174905E-2},{"$f":"F100","v":-1.2626166974175508E-3},{"$f":"G100","v":-4.8649736945873285E-3},null,{"$f":"D112/$D$221","v":1.7649478685011603E-2},{"$f":"E112/$D$220","v":5.8408593829405876E-3},{"$f":"K100","v":9.4421767551293757E-3},{"$f":"L100","v":3.5426602948236798E-3}]
[null,null,"Household Earnings (wages and investment returns)"]
[null,null,"E (Earnings/Income)",{"$f":"D266","v":1.000000000000012},{"$f":"CY266","v":1.5640745945945067},{"$f":"CZ266","v":4.5181246034269673E-3},{"$f":"DA266","v":4.2157256204859829E-3},null,{"$f":"D114/$D$221","v":1.000000000000012},{"$f":"E114/$D$220","v":0.5865279729729399},{"$f":"E114/$CY$221","v":0.94816540333317867},{"$f":"E114/$CY$220","v":0.35574719838719088}]
[null,null,"wL (wages)",{"$f":"D105*D96","v":0.75000000000000899},{"$f":"E105*E96","v":1.174033711426683},{"$f":"F105*F96","v":-2.6756300522023706E-6},{"$f":"G105*G96","v":-3.8963716494258556E-6},null,0.75000000000000899,0.44026264178500601,0.71171678855267517,0.26703279056868651]
[null,null,"rK (returns)",{"$f":"D103*D95","v":0.250000000000003},{"$f":"E103*E95","v":0.39004088316782365},{"$f":"F103*F95","v":4.6124443081572249E-6},{"$f":"G103*G95","v":4.2663398808148016E-6},null,0.250000000000003,0.14626533118793383,0.23644861478050352,8.8714407818504329E-2]
[null,null,"Household Budget",{"$f":"D269","v":1.000000000000012},{"$f":"CY269","v":1.5640745945945067},{"$f":"CZ269","v":4.5181246034269673E-3},{"$f":"DA269","v":4.2157256204859829E-3},null,1.000000000000012,0.5865279729729399,0.94816540333317867,0.35574719838719088]
[null,null,"E/c (real earnings/income)",{"$f":"D275","v":0.99999999999997513},{"$f":"CY275","v":1.3417097232968551},{"$f":"CZ275","v":2.9691385210685352E-3},{"$f":"DA275","v":1.5234472844229707E-3},null,0.99999999999997513,0.50314114623632056,0.81336449383069487,0.30517053135528605,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"G94","v":1.5234046402717127E-3}]
[null,null,"wL/c (real wages)",{"$f":"D115/$D$102","v":0.74999999999998135},{"$f":"E115/$E$102","v":1.0071210487936195},-2.6756300522022719E-6,-3.8963716494257116E-6,null,0.74999999999998135,0.37767039329760721,0.61053183699483515,0.22906867280072746]
[null,null,"rK/c (real returns)",0.24999999999999378,{"$f":"E116/$E$102","v":0.33458867450323565},4.6124443081570546E-6,4.2663398808146441E-6,null,0.24999999999999378,0.12547075293871332,0.20283265683585977,7.6101858554558643E-2]
[null,null,"cC (consumption, monetary terms)",{"$f":"D89*D102","v":0.7500000000000091},{"$f":"E89*E102","v":1.17305594594588},{"$f":"CZ271","v":2.9691385210685339E-3},{"$f":"DA271","v":1.5234472844229707E-3},null,0.7500000000000091,0.4398959797297049,0.71112405249988397,0.26681039879039314]
[null,null," Shadow price of Budget Constraint",{"$f":"D296","v":0.37698959433260953},{"$f":"CY296","v":0.38264115117067737},{"$f":"CZ296","v":1.5030325288467128E-4},{"$f":"DA296","v":-5.101338903440993E-4},null,0.37698959433260953,0.14349043168900397,0.23196278661228203,8.7031346194782144E-2]
[null,null,"Marginal Utilities and Prices"]
[null,null,"Marginal utility of Consumption",{"$f":"D$122*D$102","v":0.37698959433262341},{"$f":"E$122*E$102","v":0.44605721565605605}]
[null,null,"Marginal utility of Savings",{"$f":"D$122*D$102","v":0.37698959433262341},{"$f":"E$122*E$102","v":0.44605721565605605}]
[null,null,"Marginal utility of Leisure",{"$f":"D$122*D$105","v":0.28274219574946052},{"$f":"E$122*E$105","v":0.27233213127929318}]
[null,null,"Marginal utility of Natural Capital",{"$f":"pi*D$88/D$108","v":9.9999999999999992E-2},{"$f":"pi*E$88/E$108","v":0.26368630104401436}]
[null,null,"Resource Rebound"]
[null,null,"Rs (resource services)",{"$f":"D314","v":2.0608560023563265},{"$f":"CY314","v":1.808417541168186},{"$f":"CZ314","v":-1.3198914686491398E-3},{"$f":"DA314","v":-5.1192740537080372E-3},null,null,"Relative to Period 1"]
[null,null,"Ractual (actual raw resource use)",{"$f":"D99","v":0.17649478685011602},{"$f":"E99","v":0.15487557990444378},{"$f":"F99","v":-1.3198914686491424E-3},{"$f":"G99","v":-5.1192740537080832E-3},null,null,"Period 10","Period 100"]
[null,null,"R0 (zero rebound inferred from Leontief production)",{"$f":"D316","v":0.17649478685011602},{"$f":"CY316","v":0.28953938703036364},5.0000000000000001E-3,5.0000000000000027E-3,null,"Rebound",{"$f":"IF((M317-M316)=0,\"N/A\",1-(M317-M315)/(M317-M316))","v":"N/A"},{"$f":"IF((E132-E131)=0,\"N/A\",1-(E132-E130)/(E132-E131))","v":"N/A"}]
[null,null,"R100 (100% rebound)",{"$f":"D317","v":0.17649478685011602},0.28953938703036364,5.0000000000000001E-3,5.0000000000000027E-3,null,"Backfire",{"$f":"IF(M315>M317,\"Backfire\",\"N/A\")","v":"N/A"},{"$f":"IF(E130>E132,\"Backfire\",\"N/A\")","v":"N/A"}]
[]
[]
[]
[]
[]
[null,null,"Outputs - Graphic"]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[null,null,"Calculations"]
[]
[null,null,null,"Initial Technologies",null,null,"tKx","tLx","tR","tKr","tLr",null,"tR","tW"]
[null,null,null,null,null,null,{"$f":"EXP(lambdaKx)","v":1},{"$f":"EXP(lambdaLx)","v":1},{"$f":"EXP(lambdaR)","v":1},{"$f":"EXP(lambdaKr)","v":1},{"$f":"EXP(lambdaLr)","v":1},null,{"$f":"tRbase","v":0.99999999999999989},{"$f":"EXP(lambdaW)","v":1}]
[]
[null,null,"Dual-side Calculations"]
[null,null,"Unit Price Measures",1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,"Growth,\n1-100","Growth,\n95-100"]
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[null,null,"pK",{"$f":"N47","v":0.250000000000003},{"$f":"D211*a*alpha*(D313/D225)*(D219/D313)^(1-rho)","v":0.25000000000000305},0.25223006156126959,0.25243823435754392,0.25297563110411808,0.25336252673870346,0.2537350020043207,0.25408365917131304,0.25442516224557782,0.25476555468047685,0.25510954583335393,0.25545937430763266,0.25581582450354939,0.25617861745775167,0.25654681033147025,0.25691908112798156,0.25729394408482659,0.25766990278436525,0.25804555490169095,0.25841965893548202,0.25879117195060419,0.25915926566468339,0.25952332681487161,0.2598829465265779,0.26023790239576627,0.26058813616336035,0.26093372918110858,0.26127487731795374,0.26161186651237223,0.26194504982019134,0.26227482652333906,0.26260162363999107,0.26292588000033662,{"$f":"AJ211*a*alpha*(AJ313/AJ225)*(AJ219/AJ313)^(1-rho)","v":0.26324803291630666},0.26356850737134091,0.26388770758189178,0.2642060107311674,0.26452376264348543,0.26484127515098504,0.26515882490020914,0.26547665335147763,0.26579496773661121,0.26611394275837613,0.26643372283621053,0.2667544247258774,0.26707614036447053,0.26739893981570134,0.2677228742128907,0.26804797861805268,0.26837427473452519,0.2687017734275744,0.26903291521505512,0.26937069050547036,0.26971572816939865,0.27006827340510126,0.27042826900687267,0.27079551466305479,0.27116972349472157,0.271550571013217,0.27193772683647588,0.27233087622726621,0.27272973354705193,0.27313405002648283,0.27354361751519934,0.27395826949508356,{"$f":"BP211*a*alpha*(BP313/BP225)*(BP219/BP313)^(1-rho)","v":0.27437788030049154},0.27480236323677742,0.27523166809383293,0.27566577840489154,0.27610470869132814,0.27654850185342861,0.27699722680843514,0.27745097643538724,0.27790986585722982,0.27837403107120817,0.27884362792623746,0.27931883143885056,0.27979983543608694,0.2802868525132356,0.28078011429591065,0.28127987199897947,0.28178639727901944,0.28229998338200618,0.28282094659373624,0.28334962800702496,0.2838863956270728,0.28443164684469491,0.28498581131658723,0.2855493543027699,0.28612278052420576,0.28670663861890261,0.28730152629323769,0.28790809628773883,0.28852706330426109,0.28915921207600848,0.28980540680519462,0.29046660224809101,0.29114385679748161,0.29183834800317288,0.292551391089169,{"$f":"IF(OR(D212=0,CY$210-D$210=0),0,LN(CY212/D212)/(CY$210-D$210))","v":1.5876710041238355E-3},{"$f":"IF(OR(CT212=0,CY$210-CT$210=0),0,LN(CY212/CT212)/(CY$210-CT$210))","v":2.3325808028296187E-3}]
[null,null,"pL",{"$f":"N48","v":0.75000000000000899},{"$f":"D211*a*(1-alpha)*(D313/D226)*(D219/D313)^(1-rho)","v":0.75000000000000921},0.74778310890634847,0.74757749965268372,0.74704776413752327,0.74666731223768312,0.74630177167696488,0.74596025349173323,0.74562634812201867,0.74529412282170426,0.74495898587440257,0.74461877924814612,0.74427277135612901,0.74392126598334529,0.74356520666258641,0.74320589584436669,0.74284478387181485,0.74248332023768815,0.74212285302542647,0.74176456600009899,0.74140944419430876,0.74105826057680191,0.7407115778346306,0.74036976055407078,0.74003299412748624,0.73970130756896069,0.73937459811457518,0.73905265603962889,0.73873518856861919,0.7384218421050015,0.73811222228393747,0.73780591156655595,0.7375024842600455,{"$f":"AJ211*a*(1-alpha)*(AJ313/AJ226)*(AJ219/AJ313)^(1-rho)","v":0.73720151897338604},0.73690260861109746,0.73660536807301424,0.73630943987176756,0.73601449790556694,0.73572024963546112,0.73542643691666387,0.73513283572528709,0.73483925500723801,0.73454553485702623,0.73425154421243755,0.73395717822778639,0.73366235546492187,0.73336701501814616,0.73307111366736566,0.73277462313365138,0.73247752749314943,0.73217982078921973,0.73187929389561202,0.73157325448457489,0.73126116288301657,0.7309428299233276,0.73061834085258626,0.73028790972964008,0.72995182748381104,0.72961041727936604,0.72926400576480876,0.72891290372374973,0.7285573941538116,0.72819772554852946,0.72783410884074051,0.72746671682160746,{"$f":"BP211*a*(1-alpha)*(BP313/BP226)*(BP219/BP313)^(1-rho)","v":0.72709568516694068},0.72672111443755349,0.72634307260124642,0.72596159775978231,0.72557670086542081,0.72518836828588507,0.72479656413038696,0.72440123228745534,0.72400229815159223,0.72359967003332382,0.7231932402581982,0.7227828859665516,0.7223684696286804,0.72194983929043666,0.72152682856289263,0.72109925636712602,0.72066692644170782,0.72022962661634626,0.71978712785047161,0.71933918303040167,0.71888552551303642,0.71842586739776826,0.71795989750121603,0.71748727900140075,0.71700764670867445,0.71652060390979755,0.71602571871852394,0.71552251985025528,0.71501049171897568,0.71448906873070905,0.71395762861770351,0.71341548461964155,0.71286187626980724,0.71229595848193161,0.71171678855267517,{"$f":"IF(OR(D213=0,CY$210-D$210=0),0,LN(CY213/D213)/(CY$210-D$210))","v":-5.2922366804154298E-4},{"$f":"IF(OR(CT213=0,CY$210-CT$210=0),0,LN(CY213/CT213)/(CY$210-CT$210))","v":-7.7752693427636185E-4}]
[null,null,"pR",{"$f":"N50","v":0.32475952641916844},{"$f":"E331*(E212/E328)^beta*(E213/E329)^(1-beta)*beta^beta*(1-beta)^(1-beta)","v":0.3247595264191685},0.32475952607782999,0.32573410485160331,0.32715740644573654,0.32899742714798896,0.33115800588817695,0.33357403955244808,0.3361839162616283,0.33893478393883397,0.34178138731988456,0.34468615373896211,0.34761867209059433,0.35055506125659613,0.35347722609031296,0.35637208893430916,0.35923083702959058,0.36204821405006471,0.36482187037598746,0.36755177890114421,0.37023971806345773,0.37288882079190855,0.37550318633201463,0.37808755096120805,0.38064701310705923,0.38318680814304906,0.3857121280495428,0.38822798113517898,0.3907390870892507,0.39324980276726229,0.39576407429458105,0.39828541130329476,0.40081687939024147,{"$f":"AK331*(AK212/AK328)^beta*(AK213/AK329)^(1-beta)*beta^beta*(1-beta)^(1-beta)","v":0.40336110719309631},0.40592030481796137,0.40849629070642574,0.41109052439247101,0.41370414296006397,0.41633799936185384,0.41899270109057352,0.42166864800150577,0.4243660683625477,0.427085052455353,0.42982558326567993,0.43258756398362869,0.43537084218613681,0.43817523069692516,0.44100052521556743,0.44384651888037363,0.44680695393227332,0.44994276291164836,0.45319404042991412,0.45653545627878978,0.45995545657182479,0.46344649708556246,0.46700304379142515,0.47062105934862447,0.47429772743879278,0.47803122689118505,0.48182054531915003,0.48566532757665515,0.48956575425037779,0.49352244527214906,0.49753638437467479,0.50160886074580946,{"$f":"BQ331*(BQ212/BQ328)^beta*(BQ213/BQ329)^(1-beta)*beta^beta*(1-beta)^(1-beta)","v":0.50574142482949425},0.5099358557435324,0.51419413823949056,0.51851844752175069,0.52291114057740018,0.52737475295303782,0.53191200015572371,0.5365257830600183,0.54121919687764597,0.5459955433966841,0.55085834632864539,0.55581136971930112,0.56085863948712111,0.56600446825608985,0.57125348375152707,0.57661066113262938,0.58208135974809971,0.58767136492629901,0.59338693555420996,0.59923485836664347,0.60522251006620298,0.61135792863525296,0.61764989549555394,0.62410803053494623,0.63074290247356801,0.63756615761106683,0.64459067071605614,0.65183072273649567,0.6593022111877842,0.66702290060015235,0.67501272239649068,0.68329413619026691,{"$f":"CW331*(CW212/CW328)^beta*(CW213/CW329)^(1-beta)*beta^beta*(1-beta)^(1-beta)","v":0.69189256797101018},0.70083694530920471,0.71016035603359329,{"$f":"IF(OR(D214=0,CY$210-D$210=0),0,LN(CY214/D214)/(CY$210-D$210))","v":7.9030889733150735E-3},{"$f":"IF(OR(CT214=0,CY$210-CT$210=0),0,LN(CY214/CT214)/(CY$210-CT$210))","v":1.2533283808625659E-2}]
[null,null,"pK - d",{"$f":"D212-d","v":2.9976021664879227E-15},3.0531133177191805E-15,2.2300615612695918E-3,2.4382343575439225E-3,2.9756311041180816E-3,3.3625267387034641E-3,3.7350020043206977E-3,4.0836591713130366E-3,4.4251622455778183E-3,4.7655546804768467E-3,5.1095458333539345E-3,5.4593743076326584E-3,5.8158245035493938E-3,6.1786174577516673E-3,6.5468103314702542E-3,6.9190811279815634E-3,7.2939440848265868E-3,7.6699027843652456E-3,8.0455549016909544E-3,8.4196589354820217E-3,8.791171950604193E-3,9.1592656646833914E-3,9.5233268148716133E-3,9.882946526577896E-3,1.0237902395766274E-2,1.0588136163360351E-2,1.0933729181108576E-2,1.1274877317953735E-2,1.1611866512372226E-2,1.1945049820191345E-2,1.2274826523339055E-2,1.2601623639991066E-2,{"$f":"AJ212-d","v":1.292588000033662E-2},1.3248032916306662E-2,1.356850737134091E-2,1.3887707581891784E-2,1.4206010731167396E-2,1.4523762643485427E-2,1.4841275150985045E-2,1.5158824900209145E-2,1.5476653351477632E-2,1.579496773661121E-2,1.6113942758376132E-2,1.6433722836210529E-2,1.6754424725877404E-2,1.7076140364470527E-2,1.7398939815701342E-2,1.7722874212890705E-2,1.8047978618052685E-2,1.8374274734525187E-2,1.8701773427574397E-2,1.9032915215055124E-2,1.9370690505470356E-2,1.971572816939865E-2,2.0068273405101256E-2,2.0428269006872668E-2,2.0795514663054793E-2,2.1169723494721571E-2,2.1550571013217001E-2,2.1937726836475879E-2,2.2330876227266205E-2,2.2729733547051933E-2,2.3134050026482833E-2,2.3543617515199344E-2,{"$f":"BP212-d","v":2.3958269495083562E-2},2.4377880300491539E-2,2.4802363236777425E-2,2.5231668093832926E-2,2.5665778404891537E-2,2.6104708691328138E-2,2.6548501853428608E-2,2.6997226808435137E-2,2.7450976435387242E-2,2.7909865857229821E-2,2.8374031071208172E-2,2.8843627926237458E-2,2.9318831438850557E-2,2.9799835436086941E-2,3.0286852513235596E-2,3.0780114295910654E-2,3.1279871998979469E-2,3.178639727901944E-2,3.2299983382006181E-2,3.2820946593736244E-2,3.3349628007024956E-2,3.3886395627072796E-2,3.4431646844694908E-2,3.4985811316587234E-2,3.5549354302769898E-2,3.6122780524205755E-2,3.6706638618902609E-2,3.7301526293237686E-2,3.7908096287738835E-2,3.8527063304261089E-2,3.9159212076008476E-2,3.9805406805194621E-2,4.046660224809101E-2,4.1143856797481615E-2,4.1838348003172876E-2,4.2551391089168999E-2,{"$f":"IF(OR(D215=0,CY$210-D$210=0),0,LN(7.71605002114484E-15/2.99760216648792E-15)/(CY$210-D$210))","v":9.5504028946102881E-3},{"$f":"IF(OR(CT215=0,CY$210-CT$210=0),0,LN(CY215/CT215)/(CY$210-CT$210))","v":1.6615370141124599E-2}]
[]
[null,null,"Primal-side Calculations"]
[null,null,"Physical Measures",{"$f":"D$210","v":1},{"$f":"E$210","v":2},3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,{"$f":"BQ$210","v":66},67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100]
[null,null,"Real final output, Y",{"$f":"F46","v":0.99999999999997513},{"$f":"(a*E313^rho+(1-a)*E314^rho)^(1/rho)","v":1.0089202462450344},{"$f":"(a*F313^rho+(1-a)*F314^rho)^(1/rho)","v":1.0120080900033928},1.0160975473071472,1.0197576157772799,1.0233385927013274,1.0267848737637602,1.0301325997182651,1.0333993806148976,1.036607410944238,1.0397768405532231,1.0429261888724746,1.0460716192136603,1.0492268080058142,1.0524029257620298,1.0556087567085319,1.058850889927708,1.0621339528875802,1.0654608630554883,1.0688330820178917,1.0722508615855806,1.0757134751519646,1.0792194301531786,1.0827666592924992,1.0863526894663129,1.0899747882395661,1.0936300883772603,1.0973156914190243,1.1010287516324511,1.1047665419274655,1.108526503477349,1.1123062808851523,1.1161037447669104,{"$f":"(a*AK313^rho+(1-a)*AK314^rho)^(1/rho)","v":1.1199170036039621},1.1237444066535769,1.1275845396083239,1.1314362145679946,1.135298455741359,1.1391704821360571,1.1430516883302497,1.1469416242552999,1.1508399747596003,1.1547465395737573,1.1586612141593546,1.1625839717996,1.1665148471811284,1.1704539216225167,1.1744013100263362,1.1783571495670557,1.1822738416108787,1.1861194192180975,1.1899208212062917,1.1936880831134677,1.197426573849637,1.2011401217423709,1.2048318769914437,1.2085044016517978,1.2121597362590359,1.2157994562875885,1.2194247289675704,1.2230363654385707,1.226634867651764,1.2302204695714274,1.2337931727550173,1.2373527765740273,{"$f":"(a*BQ313^rho+(1-a)*BQ314^rho)^(1/rho)","v":1.2408989034641407},1.2444310196477895,1.2479484517862431,1.2514504000041409,1.2549359476977739,1.258404068496616,1.261853630700557,1.2652833994661967,1.268692036966552,1.2720781007006938,1.2754400400836816,1.2787761914027853,1.2820847711830607,1.2853638679632784,1.2886114324412847,1.291825265905076,1.2950030068210419,1.2981421154026012,1.301239855929174,1.3042932765251323,1.3072991860386247,1.3102541275781079,1.3131543481662433,1.3159957638519317,1.3187739194757286,1.3214839421038351,1.3241204869214267,1.3266776740936905,1.3291490147451324,1.3315273237504239,1.3338046164411848,1.3359719855682131,1.3380194538565939,1.3399357961661069,1.3417083235000529,{"$f":"IF(OR(D219=0,CY$210-D$210=0),0,LN(CY219/D219)/(CY$210-D$210))","v":2.9691279827465948E-3},{"$f":"IF(OR(CT219=0,CY$210-CT$210=0),0,LN(CY219/CT219)/(CY$210-CT$210))","v":1.5234046402717127E-3}]
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[]
[null,null,"KR",{"$f":"F49","v":0.17649478685011599},{"$f":"(1/(1+E322))*E223","v":0.17649478685011491},0.17688896504420551,0.17746251583496589,0.17817459742062008,0.17898340636214938,0.17986247437545619,0.18079040092446808,0.18175081238657226,0.182731212204364,0.18372239721952952,0.18471785575421051,0.18571324140605117,0.18670590354382172,0.18769448420504528,0.18867858005800089,0.189658465803899,0.19063487273298116,0.19160881518707981,0.19258145753893086,0.19355401473354614,0.19452768015538541,0.19550357541213548,0.19648271745018053,0.19746599917872923,0.19845418045215041,0.19944788683672607,0.20044761407333908,0.20145373655160917,0.20246651844550032,0.20348612643709421,0.20451264318441364,0.20554608087959672,{"$f":"(1/(1+AK322))*AK223","v":0.20658639440236137},0.20763349370601633,0.2086872551834785,0.20974753185204378,0.2108141622705427,0.21188697816298369,0.21296581077055488,0.21405049599040349,0.21514087838633902,0.21623681417482471,0.21733817330058916,0.21844484072112502,0.21955671701937174,0.2206737184600655,0.22179577659854269,0.22292283754204401,0.22406723182332619,0.2252345918676287,0.22641364644540335,0.22759980420782103,0.22879106412258229,0.22998631211918755,0.23118489560084882,0.23238647493473577,0.23359093015962715,0.23479829125014059,0.23600868593545432,0.23722230145461828,0.23843935710635339,0.23966008502030609,0.24088471710850293,0.24211347660254684,{"$f":"(1/(1+BQ322))*BQ223","v":0.24334657294330711},0.24458419907843745,0.24582653045154496,0.24707372514625703,0.24832592478819712,0.24958325591585592,0.25084583161406027,0.25211375326655405,0.25338711233146449,0.2546659920786265,0.2559504692537049,0.25724061565299955,0.25853649960652092,0.25983818737678366,0.26114574448786793,0.26245923700453766,0.26377873278524699,0.26510430273630736,0.26643602209777695,0.26777397179520485,0.26911823989560729,0.2704689232113659,0.27182612910257514,0.27318997753724072,0.27456060348028954,0.27593815969743218,0.2773228200796079,0.27871478361950741,0.28011427920549503,0.28152157144287537,0.28293696777163607,0.28436082722886608,0.2857935713104765,0.28723569753138134,0.28868779648145532,{"$f":"IF(OR(D228=0,CY$210-D$210=0),0,LN(CY228/D228)/(CY$210-D$210))","v":4.9702472273839603E-3},{"$f":"IF(OR(CT228=0,CY$210-CT$210=0),0,LN(CY228/CT228)/(CY$210-CT$210))","v":5.0273480393422682E-3}]
[null,null,"LR",{"$f":"F50","v":0.17649478685011599},{"$f":"(1/(1+E321))*E221","v":0.17859707081732015},0.17919294534882907,0.18028442395181557,0.18137702881830253,0.18255760616778069,0.18379041814764285,0.18506974922561426,0.18638485846091765,0.18772769013713017,0.18909115623187345,0.1904694853374416,0.19185805112364535,0.19325327595361,0.19465249677533025,0.19605383418492775,0.19745606580203656,0.19885850968253335,0.20026091945865618,0.20166339186553622,0.20306628639057658,0.20447015635595728,0.20587569053291785,0.20728366431772796,0.20869489950235123,0.21011023171072932,0.21153048462272142,0.21295645016160042,0.21438887387341629,0.21582844477672436,0.21727578900988428,0.21873146665156221,0.22019597113918865,{"$f":"(1/(1+AK321))*AK221","v":0.22166973076055493},0.22315311174545507,0.2246464225369689,0.22614991887485464,0.22766380937570216,0.22918826134497364,0.23072340660394008,0.23226934715898331,0.23382616058117886,0.23539390500010265,0.23697262364717417,0.23856234891059105,0.24016310588611603,0.24177491542593721,0.24339779670188064,0.24503176930981535,0.24669047486055073,0.24838324856091934,0.2501015444823606,0.25184127110390009,0.25360071319633715,0.25537875305356589,0.25717459628928951,0.25898767745750845,0.26081761841429713,0.26266419190957907,0.26452729225825267,0.26640691146486795,0.26830312018529751,0.27021605267251742,0.27214589501161118,0.27409287604479604,{"$f":"(1/(1+BQ321))*BQ221","v":0.27605726048904239},0.27803934383515017,0.280039448692391,0.28205792230685867,0.28409513503588191,0.28615147960638754,0.28822737102323259,0.29032324702538664,0.29243956901453977,0.29457682340318442,0.29673552334834369,0.29891621085365799,0.30111945923717737,0.3033458759755715,0.30559610594811765,0.3078708351163294,0.31017079468796116,0.31249676582795427,0.31484958499425686,0.31723014999405896,0.31963942687661789,0.32207845780349159,0.32454837006682385,0.32705038646286577,0.32958583727309398,0.33215617416160476,0.33476298636824192,0.33740801966648198,0.3400931986693333,0.34282065321327287,0.34559274974030507,0.34841212884640088,0.35128175049146571,0.35420494880058928,0.35718549896990354,{"$f":"IF(OR(D229=0,CY$210-D$210=0),0,LN(CY229/D229)/(CY$210-D$210))","v":7.1208475970935235E-3},{"$f":"IF(OR(CT229=0,CY$210-CT$210=0),0,LN(CY229/CT229)/(CY$210-CT$210))","v":8.2095636601091787E-3}]
[]
[]
[null,null,"Real final output, Y",{"$f":"D219","v":0.99999999999997513},{"$f":"E219","v":1.0089202462450344},1.0120080900033928,1.0160975473071472,1.0197576157772799,1.0233385927013274,1.0267848737637602,1.0301325997182651,1.0333993806148976,1.036607410944238,1.0397768405532231,1.0429261888724746,1.0460716192136603,1.0492268080058142,1.0524029257620298,1.0556087567085319,1.058850889927708,1.0621339528875802,1.0654608630554883,1.0688330820178917,1.0722508615855806,1.0757134751519646,1.0792194301531786,1.0827666592924992,1.0863526894663129,1.0899747882395661,1.0936300883772603,1.0973156914190243,1.1010287516324511,1.1047665419274655,1.108526503477349,1.1123062808851523,1.1161037447669104,1.1199170036039621,1.1237444066535769,1.1275845396083239,1.1314362145679946,1.135298455741359,1.1391704821360571,1.1430516883302497,1.1469416242552999,1.1508399747596003,1.1547465395737573,1.1586612141593546,1.1625839717996,1.1665148471811284,1.1704539216225167,1.1744013100263362,1.1783571495670557,1.1822738416108787,1.1861194192180975,1.1899208212062917,1.1936880831134677,1.197426573849637,1.2011401217423709,1.2048318769914437,1.2085044016517978,1.2121597362590359,1.2157994562875885,1.2194247289675704,1.2230363654385707,1.226634867651764,1.2302204695714274,1.2337931727550173,{"$f":"BP219","v":1.2373527765740273},1.2408989034641407,1.2444310196477895,1.2479484517862431,1.2514504000041409,1.2549359476977739,1.258404068496616,1.261853630700557,1.2652833994661967,1.268692036966552,1.2720781007006938,1.2754400400836816,1.2787761914027853,1.2820847711830607,1.2853638679632784,1.2886114324412847,1.291825265905076,1.2950030068210419,1.2981421154026012,1.301239855929174,1.3042932765251323,1.3072991860386247,1.3102541275781079,1.3131543481662433,1.3159957638519317,1.3187739194757286,1.3214839421038351,1.3241204869214267,1.3266776740936905,1.3291490147451324,1.3315273237504239,1.3338046164411848,1.3359719855682131,1.3380194538565939,1.3399357961661069,1.3417083235000529,{"$f":"IF(OR(D232=0,CY$210-D$210=0),0,LN(CY232/D232)/(CY$210-D$210))","v":2.9691279827465948E-3},{"$f":"IF(OR(CT232=0,CY$210-CT$210=0),0,LN(CY232/CT232)/(CY$210-CT$210))","v":1.5234046402717127E-3}]
[null,null,"Output dedicated to Consumption, C (physical terms)",{"$f":"D271","v":0.74999999999998146},0.75670011138942572,0.75900615358414592,0.76207373459198502,0.76481850942823271,0.76750422049459055,0.77008889725686935,0.77259968202276297,0.77504976629963573,0.7774557940502026,0.77983287440918558,0.78219489503733974,0.78455397694211282,0.78692037645125823,0.78930247082909877,0.79170684794002832,0.7941384495378534,0.79660074634844968,0.79909592671999552,0.80162508716105652,0.80418841687768816,0.80678537126072891,0.80941483120914848,0.8120752465349379,0.81476476265082587,0.81748133042506754,0.82022279958172606,0.8229869963854155,0.82577178661129014,0.82857512498623909,0.83139509241000431,0.83422992233495286,0.83707801770792645,0.83993795986329944,0.84280851070917107,0.84568860947456637,0.84857736519055549,0.8514740459683301,0.85437806601802757,0.85728897122857461,0.86020642400556024,0.86313018794476282,0.86606011280650963,0.86899612015258332,0.8719381899144053,0.87488634807947718,0.87784065561276792,0.88080119867066897,0.88376808011677666,0.88670560095269824,0.88958978925253185,0.89244085000770257,0.89526630676464547,0.8980701857059521,0.90085535765133617,0.90362418502785502,0.90637858922416237,0.90912010055711034,0.91184990059542559,0.91456886476030852,0.91727760143007009,0.91997648710851976,0.92266569731979164,0.92534523328872187,{"$f":"BP271","v":0.92801494460314038},0.9306745481491917,0.93332364365178688,0.93596172616283424,0.93858819582926234,0.94120236524919765,0.94380346469332055,0.9463906454331551,0.94896298138126867,0.95151946921160402,0.95405902709229973,0.95658049212876572,0.95908261658150207,0.96156406289095164,0.96402339751014077,0.9664590835144391,0.96886947192563688,0.9712527916539696,0.97360713792551523,0.97593045902244246,0.9782205411183752,0.98047499093882384,0.98269121591510145,0.9848664014265065,0.98699748463642634,0.9890811243188522,0.99111366593680728,0.99309110106586262,0.99500902004417469,0.99686255646214994,0.99864632176193768,1.0003543277753615,1.0019798944553306,1.003515539304376,1.0049528440103528,1.0062822924726413,{"$f":"IF(OR(D233=0,CY$210-D$210=0),0,LN(CY233/D233)/(CY$210-D$210))","v":2.9691385210685339E-3},{"$f":"IF(OR(CT233=0,CY$210-CT$210=0),0,LN(CY233/CT233)/(CY$210-CT$210))","v":1.5234472844229707E-3}]
[null,null,"Output dedicated to reinvestment, I (physical terms)",0.24999999999999384,0.25223337046314193,0.25300205119471531,0.25402457819732843,0.25493950314274427,0.25583474016486357,0.25669629908562314,0.25753322734092104,0.25834992209987856,0.25915193135006759,0.25994429146972853,0.26073163167911334,0.26151799231403766,0.26230679215041947,0.26310082360969961,0.26390228264667615,0.2647128165126178,0.26553358211614997,0.26636530890666521,0.26720836238701884,0.26806280562589607,0.26892845708690966,0.26980494373638286,0.27069174884497932,0.27158825421694199,0.2724937768083559,0.27340759986057539,0.27432899879513856,0.27525726220376345,0.2761917083287464,0.27713169747000149,0.27807664077831767,0.27902600590264215,0.2799793199544332,0.28093617023639039,0.28189620315818881,0.28285912173018518,0.28382468198944338,0.28479268867267588,0.28576299040952485,0.28673547466852012,0.28771006264825427,0.28868670426883658,0.28966537338419446,0.2906460633048018,0.29162878269315906,0.29261355187092264,0.29360039955688966,0.29458936003892555,0.29556853365089947,0.29652992975084397,0.29748028333590087,0.29842210225488186,0.2993567285686507,0.3002851192171121,0.30120806167595165,0.30212619640805416,0.3030400335190368,0.30394996686514192,0.30485628825343619,0.30575920047669003,0.30665882903617325,0.3075552324399306,0.3084484110962406,0.30933831486771346,0.31022484938306399,0.31110788121726235,0.31198724205427814,0.3128627319430875,0.31373412174973259,0.31460115489777357,0.31546354847771835,0.31632099379375622,0.31717315640386806,0.31801967569743328,0.318860164042922,0.31969420552716743,0.32052135429698392,0.32134113250338031,0.32215302783814637,0.32295649064187903,0.3237509305513232,0.3245357126418385,0.3253101530074809,0.32607351370612508,0.32682499697960804,0.32756373863836724,0.32828880047550224,0.32899916154547548,0.32969370810628407,0.33037122197893581,0.33103036702195426,0.33166967334805825,0.33228751882071667,0.33288210725397926,0.33345144259178722,0.33399329815177686,0.33450517976812538,0.33498428133678432,0.33542743082421383,{"$f":"IF(OR(D234=0,CY$210-D$210=0),0,LN(CY234/D234)/(CY$210-D$210))","v":2.9691385210685352E-3},{"$f":"IF(OR(CT234=0,CY$210-CT$210=0),0,LN(CY234/CT234)/(CY$210-CT$210))","v":1.5234472844229707E-3}]
[null,null,"Surplus Production",{"$f":"D232-SUM(D233:D234)","v":0},-1.3235607533301774E-5,-1.1477546846272446E-7,-7.6548216632055244E-7,-3.9679369723266689E-7,-3.6795812663470429E-7,-3.2257873239238677E-7,-3.096454188611375E-7,-3.0778461668212742E-7,-3.1445603210222828E-7,-3.2532569105292453E-7,-3.3784397857061776E-7,-3.5004249010484045E-7,-3.6059586339121097E-7,-3.6867676866947363E-7,-3.7387817264367129E-7,-3.7612276315712734E-7,-3.7557701948465194E-7,-3.7257117257993855E-7,-3.6753018362034595E-7,-3.6091800370563476E-7,-3.5319567404101804E-7,-3.4479235289097687E-7,-3.3608741811796961E-7,-3.2740145505805174E-7,-3.1899385732891972E-7,-3.1106504128075585E-7,-3.0376152970745807E-7,-2.9718260252664663E-7,-2.9138752011270697E-7,-2.8640265670176746E-7,-2.8222811820910465E-7,-2.7884365816355228E-7,-2.762137705225598E-7,-2.7429198468098548E-7,-2.7302443128540688E-7,-2.7235274613346405E-7,-2.7221641452079837E-7,-2.7255464640774107E-7,-2.73307849685267E-7,-2.7441878058809266E-7,-2.7583341677406281E-7,-2.7750158904105149E-7,-2.7937742319572578E-7,-2.8141960717320558E-7,-2.8359150783252574E-7,-2.8586117384321597E-7,-2.8820122244255231E-7,-2.9058864647879545E-7,-2.9299271897542667E-7,-2.9978527837926094E-7,-3.121373117753734E-7,-3.2590605969495812E-7,-3.4042496577235681E-7,-3.551260774337095E-7,-3.6971236294647269E-7,-3.8398041879439404E-7,-3.9781711125286279E-7,-4.1117297899795346E-7,-4.2404617439650849E-7,-4.3646818936871057E-7,-4.4849292901716353E-7,-4.6018829480409806E-7,-4.7162994509797329E-7,{"$f":"BP232-SUM(BP233:BP234)","v":-4.8289682652580268E-7},-4.9406811508667658E-7,-5.0522125971674825E-7,-5.1643086917962933E-7,-5.2776820891331511E-7,-5.3930115639921894E-7,-5.5109447805179457E-7,-5.6321031638439933E-7,-5.7570882816548874E-7,-5.8864892005239255E-7,-6.0208903929215296E-7,-6.1608800616674841E-7,-6.3070588418590035E-7,-6.4600487492683101E-7,-6.6205024262799839E-7,-6.7891130073327588E-7,-6.966624399584731E-7,-7.1538425094885838E-7,-7.3516475262991321E-7,-7.5610074934395755E-7,-7.782993680649497E-7,-8.0187980722179475E-7,-8.2697536085696299E-7,-8.5373576541591945E-7,-8.8232997019765946E-7,-9.1294940762765009E-7,-9.4581190790421488E-7,-9.8116639013490214E-7,-1.0192985424595236E-6,-1.0605377342987055E-6,-1.1052654931287265E-6,-1.1539259638926325E-6,{"$f":"CV232-SUM(CV233:CV234)","v":-1.2070388943907773E-6},{"$f":"CW232-SUM(CW233:CW234)","v":-1.2652159073756053E-6},{"$f":"CX232-SUM(CX233:CX234)","v":-1.3291810301296891E-6},{"$f":"CY232-SUM(CY233:CY234)","v":-1.399796802248332E-6},{"$f":"IF(OR(D235=0,CY235/D235=0,CY$210-D$210=0),0,LN(CY235/D235)/(CY$210-D$210))","v":{"$error":"#DIV/0!"}},{"$f":"IF(OR(CT235=0,CY$210-CT$210=0),0,LN(CY235/CT235)/(CY$210-CT$210))","v":4.7248302690101544E-2}]
[]
[null,null,"Resources dedicated directly to value-adding production",{"$f":"D225+D226","v":1.647010426299768},1.6568194514693517,1.6614389288802256,1.6675830224880168,1.6736220901647789,1.6798174752238864,1.6860392294631725,1.6922702393031956,1.6984880119647618,1.7046859337736673,1.7108642358227759,1.7170285538380292,1.7231875506845731,1.7293514030690122,1.7355306423099881,1.7417353603007824,1.7479746861207897,1.7542564751206191,1.7605871571680112,1.7669717017490036,1.7734136658535817,1.7799152978649424,1.7864776766502621,1.7931008699460229,1.7997841000788144,1.806525908224176,1.813324310922146,1.8201769445604972,1.8270811951055062,1.8340343115868196,1.8410335027921159,1.8480760173501374,1.8551592079179628,1.8622805805730855,1.8694378307696988,1.8766288673742375,1.8838518263669055,1.8911050758003802,1.8983872135588351,1.9056970593728142,1.913033642429542,1.920396185783833,1.9277840886300639,1.935196907347611,1.942634336086229,1.9500961875183245,1.9575823742551284,1.9650928913054648,1.9726277998505202,1.9801612217354472,1.9876688340672271,1.9951542441031356,2.0026179765461665,2.0100615557149792,2.0174869346675015,2.0248964317545521,2.0322924541268286,2.0396773353609676,2.0470532234850061,2.0544220157061699,2.0617853241063875,2.0691444631709528,2.076500451770086,2.0838540242897934,{"$f":"BP225+BP226","v":2.0912056470355518},2.0985555371540685,2.1059036821548607,2.1132498587371713,2.1205936500844431,2.1279344611174928,2.1352715314289421,2.14260394577936,2.1499306421383793,2.1572504173160847,2.1645619302620629,2.1718637031197412,2.1791541201181071,2.1864314243658685,2.1936937125876503,2.2009389278098306,2.2081648499663347,2.2153690843524521,2.2225490478074885,2.2297019524540289,2.2368247867616784,2.2439142936345204,2.250966945141939,2.2579789134187109,2.2649460371485004,2.2718637829098194,2.278727200498543,2.2855308711374329,2.2922688472293062,2.2989345819914333,2.3055208469039563,2.3120196343873785,2.3184220424560209,2.3247181372244623,2.3308967880009388,2.3369454681848687,{"$f":"IF(OR(D237=0,CY$210-D$210=0),0,LN(CY237/D237)/(CY$210-D$210))","v":3.5341711062572235E-3},{"$f":"IF(OR(CT237=0,CY$210-CT$210=0),0,LN(CY237/CT237)/(CY$210-CT$210))","v":2.7076212604381193E-3}]
[null,null,"Resources dedicated to raw resource extraction",{"$f":"D228+D229","v":0.35298957370023198},0.35509185766743506,0.35608191039303461,0.35774693978678146,0.35955162623892262,0.36154101252993009,0.36365289252309907,0.36586015015008233,0.36813567084748988,0.37045890234149415,0.37281355345140299,0.37518734109165208,0.37757129252969651,0.37995917949743174,0.38234698098037556,0.38473241424292864,0.38711453160593556,0.38949338241551451,0.39186973464573599,0.39424484940446708,0.39662030112412272,0.39899783651134269,0.40137926594505335,0.40376638176790847,0.40616089868108046,0.40856441216287975,0.41097837145944749,0.41340406423493947,0.41584261042502546,0.4182949632222247,0.4207619154469785,0.42324410983597582,0.42574205201878534,0.42825612516291633,0.4307866054514714,0.4333336777204474,0.43589745072689845,0.43847797164624486,0.44107523950795735,0.44368921737449496,0.44631984314938677,0.44896703896751788,0.45163071917492736,0.45431079694776333,0.45700718963171605,0.45971982290548774,0.46244863388600271,0.46519357330042332,0.46795460685185936,0.47075770668387695,0.47361784042854804,0.47651519092776395,0.47944107531172109,0.48239177731891947,0.48536506517275346,0.48835949189013833,0.49137415239224425,0.49440854857392424,0.49746248315971964,0.50053597819370699,0.50362921291948626,0.50674247729165089,0.50987613769282347,0.51303061212011414,{"$f":"BP228+BP229","v":0.51620635264734283},0.51940383343234953,0.52262354291358759,0.52586597914393596,0.52913164745311569,0.53242105982407906,0.53573473552224349,0.53907320263729286,0.54243700029194075,0.54582668134600421,0.54924281548181098,0.55268599260204865,0.55615682650665754,0.55965595884369823,0.56318406335235516,0.56674185043598557,0.57033007212086706,0.57394952747320815,0.57760106856426163,0.58128560709203381,0.58500412178926386,0.58875766677222519,0.59254738101485749,0.596374499169399,0.6002403640001065,0.60414644075338353,0.608094333859037,0.61208580644784982,0.61612280328598934,0.62020747787482833,0.6243422246561483,0.62852971751194109,0.63277295607526696,0.63707532180194226,0.64144064633197062,0.64587329545135885,{"$f":"IF(OR(D238=0,CY$210-D$210=0),0,LN(CY238/D238)/(CY$210-D$210))","v":6.1026750225846886E-3},{"$f":"IF(OR(CT238=0,CY$210-CT$210=0),0,LN(CY238/CT238)/(CY$210-CT$210))","v":6.7809384982413816E-3}]
[null,null,"Total resources dedicated to production",{"$f":"SUM(D237:D238)","v":2},2.0119113091367868,2.01752083927326,2.0253299622747982,2.0331737164037014,2.0413584877538167,2.0496921219862716,2.0581303894532779,2.0666236828122519,2.0751448361151614,2.0836777892741791,2.0922158949296814,2.1007588432142694,2.1093105825664438,2.1178776232903638,2.1264677745437108,2.1350892177267253,2.1437498575361338,2.1524568918137472,2.1612165511534709,2.1700339669777042,2.1789131343762849,2.1878569425953156,2.1968672517139316,2.2059449987598949,2.2150903203870556,2.2243026823815937,2.2335810087954364,2.2429238055305314,2.2523292748090444,2.2617954182390942,2.2713201271861134,2.2809012599367482,2.290536705736002,2.3002244362211703,2.309962545094685,2.3197492770938037,2.3295830474466253,2.3394624530667922,2.349386276747309,2.3593534855789287,2.3693632247513507,2.3794148078049915,2.3895077042953741,2.3996415257179451,2.4098160104238122,2.4200310081411311,2.4302864646058882,2.4405824067023794,2.4509189284193242,2.4612866744957751,2.4716694350308996,2.4820590518578873,2.4924533330338985,2.5028519998402547,2.5132559236446905,2.5236666065190727,2.5340858839348916,2.5445157066447255,2.554957993899877,2.5654145370258736,2.5758869404626035,2.5863765894629096,2.5968846364099076,{"$f":"SUM(BP237:BP238)","v":2.6074119996828946},2.6179593705864179,2.6285272250684484,2.639115837881107,2.6497252975375587,2.6603555209415717,2.6710062669511858,2.6816771484166528,2.69236764243032,2.7030770986620887,2.7138047457438739,2.7245496957217901,2.7353109466247645,2.7460873832095665,2.7568777759400054,2.7676807782458162,2.7784949220872015,2.7893186118256601,2.8001501163717499,2.8109875595460627,2.821828908550942,2.8326719604067456,2.8435143261567966,2.85435341258811,2.8651864011486068,2.876010223663203,2.8868215343575798,2.8976166775852827,2.9083916505152958,2.9191420598662616,2.9298630715601046,2.9405493518993193,{"$f":"SUM(CV237:CV238)","v":2.951194998531288},{"$f":"SUM(CW237:CW238)","v":2.9617934590264046},{"$f":"SUM(CX237:CX238)","v":2.9723374343329096},{"$f":"SUM(CY237:CY238)","v":2.9828187636362276},{"$f":"LN(CY239/D239)/(CY$210-D$210)","v":4.0375915830237761E-3},{"$f":"IF(OR(CT239=0,CY$210-CT$210=0),0,LN(CY239/CT239)/(CY$210-CT$210))","v":3.5826117196585822E-3}]
[]
[null,null,"Factor Value Shares"]
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[null,null,"Wealth, Consumption, Savings and Leisure"]
[null,null,"Utility function dynamic parameter multipliers",{"$f":"D$210","v":1},{"$f":"E$210","v":2},3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,{"$f":"BQ$210","v":66},67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100]
[null,null,"Gamma",{"$f":"gamma","v":0.3},{"$f":"gamma*E260","v":0.3},0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,{"$f":"gamma*AK260","v":0.3},0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,{"$f":"gamma*BQ260","v":0.3},0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,{"$f":"LN(CY254/D254)/(CY$210-D$210)","v":0},{"$f":"IF(OR(CT254=0,CY$210-CT$210=0),0,LN(CY254/CT254)/(CY$210-CT$210))","v":0}]
[null,null,"Nu",{"$f":"nu","v":0.1},{"$f":"nu*E261","v":0.1},0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,{"$f":"nu*AK261","v":0.1},0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,{"$f":"nu*BQ261","v":0.1},0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0,0]
[null,null,"Omega",{"$f":"omega","v":0.5},{"$f":"1-SUM(E254:E255)-E257","v":0.5},{"$f":"1-SUM(F254:F255)-F257","v":0.5},0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,{"$f":"1-SUM(BR254:BR255)-BR257","v":0.5},0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0,0]
[null,null,"Pi",{"$f":"pi","v":0.1},{"$f":"pi*E262","v":0.1},0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,{"$f":"pi*AK262","v":0.1},0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,{"$f":"pi*BQ262","v":0.1},0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0,0]
[null,null,"Sum (= unity for CRS)",{"$f":"SUM(D254:D257)","v":1},{"$f":"SUM(E254:E257)","v":1},{"$f":"SUM(F254:F257)","v":1},1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,{"$f":"SUM(BR254:BR257)","v":1},1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
[]
[null,null,"Gamma multiplier",1,1,{"$f":"E260*EXP(Gamma_rate_of_change)","v":1},1,1,1,1,1,1,1,{"$f":"M260*EXP(Gamma_rate_of_change)","v":1},1,1,1,{"$f":"Q260*EXP(Gamma_rate_of_change)","v":1},1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,{"$f":"AJ260*EXP(Gamma_rate_of_change)","v":1},1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,{"$f":"BP260*EXP(Gamma_rate_of_change)","v":1},1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,{"$f":"LN(CY260/D260)/(CY$210-D$210)","v":0},{"$f":"IF(OR(CT260=0,CY$210-CT$210=0),0,LN(CY260/CT260)/(CY$210-CT$210))","v":0}]
[null,null,"Nu multiplier",1,{"$f":"D261*EXP(Nu_rate_of_change)","v":1},1,1,1,1,1,1,1,1,{"$f":"M261*EXP(Nu_rate_of_change)","v":1},1,1,1,{"$f":"Q261*EXP(Nu_rate_of_change)","v":1},1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,{"$f":"AJ261*EXP(Nu_rate_of_change)","v":1},1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,{"$f":"BP261*EXP(Nu_rate_of_change)","v":1},1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0]
[null,null,"Pi multiplier",1,{"$f":"D262*EXP(Pi_rate_of_change)","v":1},1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,{"$f":"AJ262*EXP(Pi_rate_of_change)","v":1},1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,{"$f":"BP262*EXP(Pi_rate_of_change)","v":1},1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0]
[]
[null,null,null,{"$f":"D$210","v":1},{"$f":"E$210","v":2},3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,{"$f":"BQ$210","v":66},67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100]
[null,null,"Utility, u",{"$f":"V46","v":0.99999999999999989},{"$f":"û*E271^(E254)*E272^(E255)*E273^(E256)*E300^E257","v":1.0080365541180172},1.012122686159586,1.0159547754860236,1.0196681269188761,1.0232656919864189,1.0267729859986967,1.0302087823156263,1.0335921949868463,1.0369405578001742,1.0402693559957989,1.0435919223816095,1.0469194025451987,1.0502608213773026,1.053623232772555,1.0570119127442985,1.0604305733491288,1.0638815810748075,1.0673661694017951,1.0708846391260041,1.0744365427170797,1.0780208507539457,1.0816360996483663,1.0852805206399474,1.0889521505634299,1.0926489252410416,1.0963687565950584,1.1001095947419426,1.1038694764389807,1.1076465613183364,1.1114391573687106,1.1152457371160207,1.1190649459158319,{"$f":"û*AK271^(AK254)*AK272^(AK255)*AK273^(AK256)*AK300^AK257","v":1.1228956037057147},1.1267367014797893,1.1305873936451507,1.1344469873054597,1.1383149293955579,1.1421907924669505,1.1460742598013292,1.1499651104113651,1.153863204377374,1.1577684688671168,1.1616808850952149,1.1656004763990298,1.1695272975396438,1.1734614252793651,1.177402950240501,1.1813327547894013,1.1852191093041975,1.1890606037078864,1.1928729645999228,1.1966631509725718,1.200434901499883,1.2041909141721587,1.2079332719545344,1.2116635608641595,1.2153829429200178,1.2190922201777017,1.2227918902508847,1.2264821935519854,1.2301631528513128,1.2338346059908643,1.237496232587056,1.2411475755105359,{"$f":"û*BQ271^(BQ254)*BQ272^(BQ255)*BQ273^(BQ256)*BQ300^BQ257","v":1.2447880578598747},1.2484169960659224,1.2520336096812161,1.2556370283286045,1.2592262962075902,1.2628003744870857,1.2663581418496994,1.2698983933951611,1.2734198380585851,1.2769210946521503,1.2804006865956703,1.2838570353613918,1.2872884526202233,1.2906931310393381,1.2940691336436132,1.2974143816143162,1.3007266403565834,1.3040035036208424,1.3072423754106641,1.3104404493484174,1.3135946850977762,1.3167017813554347,1.3197581448190139,1.3227598544088555,1.3257026198612998,1.3285817336111141,1.33139201462921,1.3341277425628466,1.3367825801181294,1.3393494811000963,1.341820580844941,1.3441870648879748,1.3464390105342843,1.3485651944304016,1.3505528571226297,{"$f":"IF(OR(D265=0,CY$210-D$210=0),0,LN(CY265/D265)/(CY$210-D$210))","v":3.0354952768979425E-3},{"$f":"IF(OR(CT265=0,CY$210-CT$210=0),0,LN(CY265/CT265)/(CY$210-CT$210))","v":1.6659996380876095E-3}]
[null,null,"Earnings/Income, E",{"$f":"V48","v":1.000000000000012},{"$f":"E212*E223+E213*E221","v":1.0089334818526057},1.0120082045911667,1.0166360383933011,1.0210842031606346,1.025687367235268,1.030336327293313,1.0350309271932567,1.0397542202567467,1.0444988022649362,1.0492595838995358,1.0540342835314678,1.058822394203061,1.0636246670197653,1.0684426360637649,1.0732782699979109,1.0781337101312083,1.0830110835984863,1.087912375718973,1.0928393489500485,1.0977934975486201,1.1027760290084356,1.1077878650102391,1.112829656077021,1.1179018053485668,1.1230044979026181,1.1281377328799065,1.1333013563451597,1.1384950933618634,1.1437185781978096,1.1489713819303451,1.1542530370004047,1.1595630584853309,{"$f":"AK212*AK223+AK213*AK221","v":1.1649009620324857},1.1702662785268081,1.1756585656625511,1.18107741665805,1.1865224663973715,1.1919933953081234,1.197489931294379,1.2030118500406852,1.208558973990469,1.2141311702823301,1.2197283479028953,1.2253504542870037,1.2309974715666085,1.2366694126401652,1.2423663172054162,1.2480882478712538,1.2538352864391096,1.2596061048549316,1.2653966515169963,1.2712036689386279,1.2770264137799596,1.2828646926417675,1.2887186958573389,1.294588811238687,1.3004755413095221,1.3063794368143522,1.3123010524021255,1.3182409166277955,1.3241995130389861,1.3301772691554428,1.3361745510424081,1.3421916617110505,{"$f":"BQ212*BQ223+BQ213*BQ221","v":1.3482288420358191},1.3542862732235545,1.3603640801358858,1.3664623349685241,1.3725810609430367,1.3787202357792685,1.3848797947988403,1.3910596335690522,1.3972596100375425,1.4034795461357155,1.4097192288463913,1.415978410741106,1.4222568099968371,1.4285541099021639,1.4348699578600055,1.4412039638888812,1.4475556986175981,1.4539246907596914,1.4603104240438705,1.4667123335652612,1.4731298015090297,1.4795621521829605,1.48600864627801,1.4924684742554606,1.4989407487350246,1.5054244957291487,1.5119186445335546,1.5184220160408097,1.5249333091903015,1.5314510852013072,1.5379737491518284,1.5444995283592655,1.5510264468824226,1.5575522952879579,1.5640745945945067,4.5181246034269673E-3,4.2157256204859829E-3]
[null,null,"Nominal wages",{"$f":"D213*D221","v":0.75000000000000899},0.75893348185260412,0.75921481986049089,0.76301713046042685,0.76620306158032625,0.76964203695646705,0.77310578677866892,0.77662059155104579,0.78016304659273938,0.78372628282584345,0.78730398637564514,0.7908929670514605,0.79449175272917671,0.79810021682831223,0.80171910868258134,0.80534972407057093,0.80899364662699869,0.8126525590595961,0.81632810880690454,0.82002181755194303,0.82373502482301197,0.82746885764420208,0.83122421960299164,0.83500179398183449,0.83880205668488617,0.84262529560004373,0.84647163378572121,0.85034105448382424,0.85423342645695688,0.85814852854897472,0.86208607269062965,0.86604572483049624,{"$f":"AJ213*AJ221","v":0.870027123476946},0.87402989569911882,0.87805367056081651,0.88209809005713058,0.88616281769425176,0.89024754490251534,0.89435199550469557,0.89847592847914493,0.90261913926313897,0.90678145983828207,0.91096275782917602,0.91516293483063382,0.91938192415921227,0.9236196882031652,0.92787621552224608,0.93215151782604244,0.93644562693755073,0.94075859182790755,0.94509225774754502,0.94944425509954167,0.95380938968321261,0.95818665631800182,0.96257555331407829,0.96697605210518511,0.97138833783078316,0.97581273918654432,0.98024965870208658,0.98469952777676872,0.98916277476327585,0.99363980410394181,0.99813098329057692,1.0026366355044647,{"$f":"BP213*BP221","v":1.0071570362268027},1.0116924125505584,1.0162429442469143,1.0208087658932863,1.0253899695630528,1.0299866077238069,1.0345986961006683,1.0392262163423927,1.0438691183870434,1.0485273224660241,1.0532007207144882,1.0578891783755202,1.0625925345976333,1.0673106028318424,1.0720431708372797,1.0767900003040656,1.0815508260997193,1.0863253551412881,1.0911132648899966,1.0959142014586878,1.1007277773148481,1.105553568553381,1.1103911117036322,1.1152399000239475,1.120099379224256,1.1249689425421379,1.1298479250800693,1.1347355972903646,1.1396311574686115,1.1445337230850579,1.1494423207447015,1.1543558745186446,1.1592731923288293,1.164192949991721,1.1691136724288758,1.174033711426683,4.52654048949107E-3,4.2337099472499855E-3]
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[null,null,"Nominal budget",{"$f":"V48","v":1.000000000000012},{"$f":"E212*E223+E213*E221","v":1.0089334818526057},1.0120082045911667,1.0166360383933011,1.0210842031606346,1.025687367235268,1.030336327293313,1.0350309271932567,1.0397542202567467,1.0444988022649362,1.0492595838995358,1.0540342835314678,1.058822394203061,1.0636246670197653,1.0684426360637649,1.0732782699979109,1.0781337101312083,1.0830110835984863,1.087912375718973,1.0928393489500485,1.0977934975486201,1.1027760290084356,1.1077878650102391,1.112829656077021,1.1179018053485668,1.1230044979026181,1.1281377328799065,1.1333013563451597,1.1384950933618634,1.1437185781978096,1.1489713819303451,1.1542530370004047,1.1595630584853309,{"$f":"AK212*AK223+AK213*AK221","v":1.1649009620324857},1.1702662785268081,1.1756585656625511,1.18107741665805,1.1865224663973715,1.1919933953081234,1.197489931294379,1.2030118500406852,1.208558973990469,1.2141311702823301,1.2197283479028953,1.2253504542870037,1.2309974715666085,1.2366694126401652,1.2423663172054162,1.2480882478712538,1.2538352864391096,1.2596061048549316,1.2653966515169963,1.2712036689386279,1.2770264137799596,1.2828646926417675,1.2887186958573389,1.294588811238687,1.3004755413095221,1.3063794368143522,1.3123010524021255,1.3182409166277955,1.3241995130389861,1.3301772691554428,1.3361745510424081,1.3421916617110505,{"$f":"BQ212*BQ223+BQ213*BQ221","v":1.3482288420358191},1.3542862732235545,1.3603640801358858,1.3664623349685241,1.3725810609430367,1.3787202357792685,1.3848797947988403,1.3910596335690522,1.3972596100375425,1.4034795461357155,1.4097192288463913,1.415978410741106,1.4222568099968371,1.4285541099021639,1.4348699578600055,1.4412039638888812,1.4475556986175981,1.4539246907596914,1.4603104240438705,1.4667123335652612,1.4731298015090297,1.4795621521829605,1.48600864627801,1.4924684742554606,1.4989407487350246,1.5054244957291487,1.5119186445335546,1.5184220160408097,1.5249333091903015,1.5314510852013072,1.5379737491518284,1.5444995283592655,1.5510264468824226,1.5575522952879579,1.5640745945945067,4.5181246034269673E-3,4.2157256204859829E-3]
[null,null,"Maximum wealth, Wmax",{"$f":"V47","v":2.2500000000000275},{"$f":"E213*E220+E212*E223","v":2.2701003341683625},2.2770184603301251,2.2874310863849265,2.2974394571114285,2.3077965762793533,2.3182567364099547,2.3288195861848275,2.33944699557768,2.3501223050961073,2.360834063773956,2.3715771379458026,2.3823503869568876,2.3931555007944723,2.4039959311434704,2.4148761074952998,2.4258008477952187,2.436774938096594,2.447802845367689,2.4588885351376097,2.4700353694843948,2.4812460652689805,2.4925226962730389,2.5038667261732965,2.5152790620342755,2.5267601202808905,2.5383098989797896,2.5499280517766101,2.5616139600641938,2.5733668009450703,2.5851856093432768,2.5970693332509107,2.6090168815919941,{"$f":"AK213*AK220+AK212*AK223","v":2.6210271645730927},2.6330991266853179,2.6452317727407402,2.657424187480613,2.6696755493940851,2.681985139443277,2.6943523454123532,2.7067766625915417,2.7192576914785551,2.7317951331352428,2.744388782781515,2.7570385221457596,2.7697443110248701,2.7825061784403711,2.7953242137121861,2.8081985577103215,2.8211293944879969,2.8341137359235966,2.847142465913242,2.8602082551119135,2.873309431004909,2.886445558443977,2.899617065679013,2.9128248252870459,2.9260699679464248,2.9393537328322927,2.9526773679047822,2.9660420624125408,2.979448904337719,2.9928988555997473,3.0063927398454178,3.019931238849864,{"$f":"BQ213*BQ220+BQ212*BQ223","v":3.033514894580593},3.0471441147529985,3.0608191803057432,3.0745402536791802,3.0883073871218332,3.1021205305033543,3.1159795382973909,3.1298841755303677,3.1438341225844706,3.1578289788053597,3.1718682649043806,3.1859514241674889,3.2000778224928834,3.2142467472798684,3.2284574051850123,3.2427089187499827,3.257000321889596,3.2713305542093059,3.2856984540987098,3.3001027505218379,3.3145420533953169,3.3290148424116612,3.3435194541255222,3.3580540670747867,3.3726166846538055,3.387205115390584,3.401816950200498,3.4164495360918226,3.431099945678179,3.445764941702941,3.4604409355916141,3.4751239388083479,3.489809505485451,3.5044926643979046,3.5191678378376405]
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[null,null,"Real Savings, S",{"$f":"V50","v":0.24999999999999384},{"$f":"(E255/(1-E257))*E270/E211","v":0.25223337046314193},0.25300205119471531,0.25402457819732843,0.25493950314274427,0.25583474016486357,0.25669629908562314,0.25753322734092104,0.25834992209987856,0.25915193135006759,0.25994429146972853,0.26073163167911334,0.26151799231403766,0.26230679215041947,0.26310082360969961,0.26390228264667615,0.2647128165126178,0.26553358211614997,0.26636530890666521,0.26720836238701884,0.26806280562589607,0.26892845708690966,0.26980494373638286,0.27069174884497932,0.27158825421694199,0.2724937768083559,0.27340759986057539,0.27432899879513856,0.27525726220376345,0.2761917083287464,0.27713169747000149,0.27807664077831767,0.27902600590264215,{"$f":"(AK255/(1-AK257))*AK270/AK211","v":0.2799793199544332},0.28093617023639039,0.28189620315818881,0.28285912173018518,0.28382468198944338,0.28479268867267588,0.28576299040952485,0.28673547466852012,0.28771006264825427,0.28868670426883658,0.28966537338419446,0.2906460633048018,0.29162878269315906,0.29261355187092264,0.29360039955688966,0.29458936003892555,0.29556853365089947,0.29652992975084397,0.29748028333590087,0.29842210225488186,0.2993567285686507,0.3002851192171121,0.30120806167595165,0.30212619640805416,0.3030400335190368,0.30394996686514192,0.30485628825343619,0.30575920047669003,0.30665882903617325,0.3075552324399306,0.3084484110962406,0.30933831486771346,{"$f":"(BQ255/(1-BQ257))*BQ270/BQ211","v":0.31022484938306399},0.31110788121726235,0.31198724205427814,0.3128627319430875,0.31373412174973259,0.31460115489777357,0.31546354847771835,0.31632099379375622,0.31717315640386806,0.31801967569743328,0.318860164042922,0.31969420552716743,0.32052135429698392,0.32134113250338031,0.32215302783814637,0.32295649064187903,0.3237509305513232,0.3245357126418385,0.3253101530074809,0.32607351370612508,0.32682499697960804,0.32756373863836724,0.32828880047550224,0.32899916154547548,0.32969370810628407,0.33037122197893581,0.33103036702195426,0.33166967334805825,0.33228751882071667,0.33288210725397926,0.33345144259178722,0.33399329815177686,0.33450517976812538,0.33498428133678432,0.33542743082421383,2.9691385210685352E-3,1.5234472844229707E-3]
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[]
[null,null,"Welfare Measures ",{"$f":"D$210","v":1},{"$f":"E$210","v":2},3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,{"$f":"BQ$210","v":66},67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100]
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[]
[null,null,"Welfare Measures "]
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[]
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[]
[null,null,"Natural Capital and Components"]
[null,null,"Physical Measures",{"$f":"D$210","v":1},{"$f":"E$210","v":2},3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,{"$f":"BQ$210","v":66},67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100]
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[]
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[]
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