World 3 equations, variables, and parameters

In this page we list the equations, the variables and the parameters of the World3 model as described in Appendices A and B of the book Dynamics of growth in a finite world (1974) (our code also implement the model corresponding to each system of the entire World3 model as described in Chapter 2, 3, 4, 5, and 6 of the book, but we do not list here the equations, the variables and the parameters of each such model).

Equations

System#DefinitionReferenceNotes
Population1$\mathtt{pop} = \mathtt{p1} + \mathtt{p2} + \mathtt{p3} + \mathtt{p4}$page 567
Population2$\frac{d\mathtt{p1}}{dt} = \mathtt{br} - \mathtt{d1} - \mathtt{mat1}$page 567see initialisation of $\mathtt{p1}$
Population3$\mathtt{d1} = \mathtt{m1}\times\mathtt{p1}$page 567
Population4$\mathtt{m1}=\mathit{interpolate}\left(\mathtt{le}\right)$page 567see table $\mathtt{m1}$
Population5$\mathtt{mat1} = \frac{1}{15}\times(1 - \mathtt{m1})\times\mathtt{p1}$page 567
Population6$\frac{d\mathtt{p2}}{dt} = \mathtt{mat1} - \mathtt{d2} - \mathtt{mat2}$page 567see initialisation of $\mathtt{p2}$
Population7$\mathtt{d2} = \mathtt{m2}\times\mathtt{p2}$page 567
Population8$\mathtt{m2}=\mathit{interpolate}\left(\mathtt{le}\right)$page 568see table $\mathtt{m2}$
Population9$\mathtt{mat2} = \frac{1}{30}\times(1 - \mathtt{m2})\times\mathtt{p2}$page 568
Population10$\frac{d\mathtt{p3}}{dt} = \mathtt{mat2} - \mathtt{d3} - \mathtt{mat3}$page 568see initialisation of $\mathtt{p3}$
Population11$\mathtt{d3} = \mathtt{m3}\times\mathtt{p3}$page 568
Population12$\mathtt{m3}=\mathit{interpolate}\left(\mathtt{le}\right)$page 568see table $\mathtt{m3}$
Population13$\mathtt{mat3} = \frac{1}{20}\times(1 - \mathtt{m3})\times\mathtt{p3}$page 568
Population14$\frac{d\mathtt{p4}}{dt} = \mathtt{mat3} - \mathtt{d4}$page 568see initialisation of $\mathtt{p1=4}$
Population15$\mathtt{d4} = \mathtt{m4}\times\mathtt{p4}$page 568
Population16$\mathtt{m4}=\mathit{interpolate}\left(\mathtt{le}\right)$page 568see table $\mathtt{m4}$
Population17$\mathtt{d}=\mathtt{d1}+\mathtt{d2}+\mathtt{d3}+\mathtt{d4}$page 568$\mathtt{dr}$ in our code
Population18$\mathtt{cdr}=1000\times\frac{\mathtt{d}}{\mathtt{pop}}$page 568
Population19$\mathtt{le}=\mathtt{len}\times\mathtt{lmf}\times\mathtt{lmhs}\times\mathtt{lmp}\times\mathtt{lmc}$page 568see value of $\mathtt{len}$
Population20$\mathtt{lmf}=\mathit{interpolate}\left(\frac{\mathtt{fpc}}{\mathtt{sfpc}}\right)$page 569see table $\mathtt{lmf}$
Population21$\mathtt{hsapc}=\mathit{interpolate}\left(\mathtt{sopc}\right)$page 569see table $\mathtt{hsapc}$
Population22$\frac{d\mathtt{ehspc}}{dt}=\frac{\mathtt{hsapc}-\mathtt{ehspc}}{\mathtt{hsid}}$page 569see value of $\mathtt{hsid}$
Population23$ \mathtt{lmhs}=clip(\mathtt{lmhs2},\mathtt{lmhs1},t,\mathtt{iphst}) $page 569see value of $\mathtt{iphst}$
Population24$\mathtt{lmhs1}=\mathit{interpolate}(\mathtt{ehspc})$page 569see table $\mathtt{lmhs1}$
Population25$\mathtt{lmhs2}=\mathit{interpolate}(\mathtt{ehspc})$page 569see table $\mathtt{lmhs2}$
Population26$\mathtt{fpu}=\mathit{interpolate}(\mathtt{pop})$page 569see table $\mathtt{fpu}$
Population27$\mathtt{cmi}=\mathit{interpolate}(\mathtt{iopc})$page 569see table $\mathtt{cmi}$
Population28$\mathtt{lmc}=1-\mathtt{cmi}\times\mathtt{fpu}$page 570
Population29$\mathtt{lmp}=\mathit{interpolate}(\mathtt{ppolx})$page 570see table $\mathtt{lmp}$
Population30$ \mathtt{b}=clip(\mathtt{d},\frac{\mathtt{tf}\times\mathtt{p2}\times0.5}{\mathtt{rlt}},t,\mathtt{pet}) $page 570$\mathtt{br}$ in our code, see values of $\mathtt{rlt}$ and $\mathtt{pet}$
Population31$\mathtt{cbr}=1000\times\frac{\mathtt{b}}{\mathtt{pop}}$page 570
Population32$\mathtt{lmp}=\mathit{min}(\mathtt{mtf}, \mathtt{mtf}\times(1-\mathtt{fce})+\mathtt{dtf}\times\mathtt{fce})$page 570
Population33$\mathtt{mtf}=\mathtt{mtfn}\times\mathtt{fm}$page 570see value of $\mathtt{mtfn}$
Population34$\mathtt{fm}=\mathit{interpolate}(\mathtt{le})$page 570see table $\mathtt{fm}$
Population35$\mathtt{dtf}=\mathtt{dcfs}\times\mathtt{cmple}$page 570
Population36$\mathtt{cmple}=\mathit{interpolate}(\mathtt{ple})$page 570see table $\mathtt{cmple}$
Population37$\frac{d\mathtt{ple}}{dt}=3\times\frac{\mathtt{ple2}-\mathtt{ple}}{\mathtt{lpd}}$page 571see value of $\mathtt{lpd}$
Population37$\frac{d\mathtt{ple2}}{dt}=3\times\frac{\mathtt{ple1}-\mathtt{ple2}}{\mathtt{lpd}}$page 571see value of $\mathtt{lpd}$
Population37$\frac{d\mathtt{ple1}}{dt}=3\times\frac{\mathtt{le}-\mathtt{ple1}}{\mathtt{lpd}}$page 571see value of $\mathtt{lpd}$
Population38$ \mathtt{dcfs}=clip(2,\mathtt{dcfsn}\times\mathtt{frsn}\times\mathtt{sfsn},t,\mathtt{zpgt}) $page 571see values of $\mathtt{dcfsn}$ and $\mathtt{zpgt}$
Population39$\mathtt{sfsn}=\mathit{interpolate}(\mathtt{diopc})$page 571see table $\mathtt{sfsn}$
Population40$\frac{d\mathtt{diopc}}{dt}=3\times\frac{\mathtt{diopc2}-\mathtt{diopc}}{\mathtt{sad}}$page 571see value of $\mathtt{sad}$
Population40$\frac{d\mathtt{diopc2}}{dt}=3\times\frac{\mathtt{diopc1}-\mathtt{diopc2}}{\mathtt{sad}}$page 571see value of $\mathtt{sad}$
Population40$\frac{d\mathtt{diopc1}}{dt}=3\times\frac{\mathtt{iopc}-\mathtt{diopc1}}{\mathtt{sad}}$page 571see value of $\mathtt{sad}$
Population41$\mathtt{frsn}=\mathit{interpolate}(\mathtt{fie})$page 571see table $\mathtt{frsn}$ and initialisation of $\mathtt{frsn}$
Population42$\mathtt{fie}=\frac{\mathtt{iopc}-\mathtt{aiopc}}{\mathtt{aiopc}}$page 571
Population43$\frac{d\mathtt{aiopc}}{dt}=\frac{\mathtt{iopc}-\mathtt{aiopc}}{\mathtt{ieat}}$page 571see value of $\mathtt{ieat}$
Population44$\mathtt{nfc}=\frac{\mathtt{mtf}}{\mathtt{dtf}}-1$page 571
Population45$\mathtt{fce}=clip(1,\mathit{interpolate}(\mathtt{fcfpc}),t,\mathtt{fcest})$page 571see table $\mathtt{fce}$ and value of $\mathtt{fcest}$
Population46$\frac{d\mathtt{fcfpc}}{dt}=3\times\frac{\mathtt{fcfpc2}-\mathtt{fcfpc}}{\mathtt{hsid}}$page 572see value of $\mathtt{hsid}$
Population46$\frac{d\mathtt{fcfpc2}}{dt}=3\times\frac{\mathtt{fcfpc1}-\mathtt{fcfpc2}}{\mathtt{hsid}}$page 572see value of $\mathtt{hsid}$
Population46$\frac{d\mathtt{fcfpc1}}{dt}=3\times\frac{\mathtt{fcapc}-\mathtt{fcfpc1}}{\mathtt{hsid}}$page 572see value of $\mathtt{hsid}$
Population47$\mathtt{fcapc}=\mathtt{fsafc}\times\mathtt{sopc}$page 572
Population48$\mathtt{fsafc}=\mathit{interpolate}(\mathtt{nfc})$page 572see table $\mathtt{fsafc}$
Capital49$\mathtt{iopc}=\frac{\mathtt{io}}{\mathtt{pop}}$page 572
Capital50$\mathtt{io}=\frac{\mathtt{ic}\times(1-\mathtt{fcaor})\times\mathtt{cuf}}{\mathtt{icor}}$page 572
Capital51$\mathtt{fce}=clip(\mathtt{icor2},\mathtt{icor1},t,\mathtt{pyear})$page 572see values of $\mathtt{icor1}$, $\mathtt{icor2}$, and $\mathtt{pyear}$
Capital52$\frac{d\mathtt{ic}}{dt}=\mathtt{icir}-\mathtt{icdr}$page 572see initialisation of $\mathtt{ic}$
Capital53$\mathtt{icdr}=\frac{\mathtt{ic}}{\mathtt{alic}}$page 572
Capital54$\mathtt{alic}=clip(\mathtt{alic2},\mathtt{alic1},t,\mathtt{pyear})$page 573see values of $\mathtt{alic1}$, $\mathtt{alic2}$, and $\mathtt{pyear}$
Capital55$\mathtt{icir}=\mathtt{io}\times\mathtt{fioai}$page 573
Capital56$\mathtt{fioai}=1-\mathtt{fioaa}-\mathtt{fioas}-\mathtt{fioac}$page 573
Capital57$\mathtt{fioac}=clip(\mathtt{fioacv},\mathtt{fioacc},t,\mathtt{iet})$page 573see value of $\mathtt{iet}$
Capital58$\mathtt{fioacc}=clip(\mathtt{fioac2},\mathtt{fioac1},t,\mathtt{pyear})$page 573see values of $\mathtt{fioac1}$, $\mathtt{fioac2}$, and $\mathtt{pyear}$
Capital59$\mathtt{fioacv}=\mathit{interpolate}\left(\frac{\mathtt{iopc}}{\mathtt{iopcd}}\right)$page 571see table $\mathtt{fioacv}$
Capital60$\mathtt{isopc}=clip(\mathtt{isopc2},\mathtt{isopc1},t,\mathtt{pyear})$page 573see value of $\mathtt{pyear}$
Capital61$\mathtt{isopc1}=\mathit{interpolate}(\mathtt{iopc})$page 573see table $\mathtt{isopc1}$
Capital62$\mathtt{isopc2}=\mathit{interpolate}(\mathtt{iopc})$page 574see table $\mathtt{isopc2}$
Capital63$\mathtt{fioas}=clip(\mathtt{fioas2},\mathtt{fioas1},t,\mathtt{pyear})$page 574see value of $\mathtt{pyear}$
Capital64$\mathtt{fioas1}=\mathit{interpolate}\left(\frac{\mathtt{sopc}}{\mathtt{isopc}}\right)$page 574see table $\mathtt{fioas1}$
Capital65$\mathtt{fioas2}=\mathit{interpolate}\left(\frac{\mathtt{sopc}}{\mathtt{isopc}}\right)$page 574see table $\mathtt{fioas2}$
Capital66$\mathtt{scir}=\mathtt{io}\times\mathtt{fioas}$page 574
Capital67$\frac{d\mathtt{sc}}{dt}=\mathtt{scir}-\mathtt{scdr}$page 574see initialisation of $\mathtt{sc}$
Capital68$\mathtt{scdr}=\frac{\mathtt{sc}}{\mathtt{alsc}}$page 574
Capital69$\mathtt{alsc}=clip(\mathtt{alsc2},\mathtt{alsc1},t,\mathtt{pyear})$page 574see values of $\mathtt{alsc1}$, $\mathtt{alsc2}$, and $\mathtt{pyear}$
Capital70$\mathtt{so}=\frac{\mathtt{sc}\times\mathtt{cuf}}{\mathtt{scor}}$page 575
Capital71$\mathtt{sopc}=\frac{\mathtt{so}}{\mathtt{pop}}$page 575
Capital72$\mathtt{scor}=clip(\mathtt{scor2},\mathtt{scor1},t,\mathtt{pyear})$page 575see values of $\mathtt{scor1}$, $\mathtt{scor2}$, and $\mathtt{pyear}$
Capital73$\mathtt{j}=\mathtt{pjis}+\mathtt{pjas}+\mathtt{pjss}$page 575
Capital74$\mathtt{pjis}=\mathtt{ic}\times\mathtt{jpicu}$page 575
Capital75$\mathtt{jpicu}=\mathit{interpolate}(\mathtt{iopc})\times0.001$page 575see table $\mathtt{jpicu}$
Capital76$\mathtt{pjss}=\mathtt{sc}\times\mathtt{jpscu}$page 575
Capital77$\mathtt{jpscu}=\mathit{interpolate}(\mathtt{sopc})\times0.001$page 575see table $\mathtt{jpscu}$
Capital78$\mathtt{pjas}=\mathtt{jph}\times\mathtt{al}$page 575
Capital79$\mathtt{jph}=\mathit{interpolate}(\mathtt{aiph})$page 575see table $\mathtt{jph}$
Capital80$\mathtt{lf}=(\mathtt{p2}+\mathtt{p3})\times\mathtt{lfpf}$page 575-6see value of $\mathtt{lfpf}$
Capital81$\mathtt{luf}=\frac{\mathtt{j}}{\mathtt{lf}}$page 576
Capital82$\frac{d\mathtt{lufd}}{dt}=\frac{\mathtt{luf}-\mathtt{lufd}}{\mathtt{lufdt}}$page 576see value of $\mathtt{lufdt}$
Capital83$\mathtt{cuf}=\mathit{interpolate}(\mathtt{lufd})$page 576see table $\mathtt{cuf}$ and initialisation of $\mathtt{cuf}$
Agriculture84$\mathtt{lfc}=\frac{\mathtt{al}}{\mathtt{palt}}$page 576see value of $\mathtt{palt}$
Agriculture85$\frac{d\mathtt{al}}{dt}=\mathtt{ldr}-\mathtt{ler}-\mathtt{lrui}$page 576see initialisation of $\mathtt{al}$
Agriculture86$\frac{d\mathtt{pal}}{dt}=-\mathtt{ldr}$page 576see initialisation of $\mathtt{pal}$
Agriculture87$\mathtt{f}=\mathtt{ly}\times\mathtt{al}\times\mathtt{lfh}\times(1-\mathtt{pl})$page 576see values of $\mathtt{lfh}$ and $\mathtt{pl}$
Agriculture88$\mathtt{fpc}=\frac{\mathtt{f}}{\mathtt{pop}}$page 576
Agriculture89$\mathtt{ifpc}=clip(\mathtt{ifpc2},\mathtt{ifpc1},t,\mathtt{pyear})$page 577see value of $\mathtt{pyear}$
Agriculture90$\mathtt{ifpc1}=\mathit{interpolate}(\mathtt{iopc})$page 577see table $\mathtt{ifpc1}$
Agriculture91$\mathtt{ifpc2}=\mathit{interpolate}(\mathtt{iopc})$page 577see table $\mathtt{ifpc2}$
Agriculture92$\mathtt{tai}=\mathtt{io}\times\mathtt{fioaa}$page 577
Agriculture93$\mathtt{fioaa}=clip(\mathtt{fioaa2},\mathtt{fioaa1},t,\mathtt{pyear})$page 577see value of $\mathtt{pyear}$
Agriculture94$\mathtt{fioaa1}=\mathit{interpolate}\left(\frac{\mathtt{fpc}}{\mathtt{ifpc}}\right)$page 577see table $\mathtt{fioaa1}$
Agriculture95$\mathtt{fioaa2}=\mathit{interpolate}\left(\frac{\mathtt{fpc}}{\mathtt{ifpc}}\right)$page 577see table $\mathtt{fioaa2}$
Agriculture96$\mathtt{ldr}=\frac{\mathtt{tai}\times\mathtt{fiald}}{\mathtt{dcph}}$page 577
Agriculture97$\mathtt{dcph}=\mathit{interpolate}\left(\frac{\mathtt{pal}}{\mathtt{palt}}\right)$page 578see table $\mathtt{dcph}$
Agriculture98$\mathtt{cai}=\mathtt{tai}\times(1-\mathtt{fiald})$page 578
Agriculture99$\frac{d\mathtt{ai}}{dt}=\frac{\mathtt{cai}-\mathtt{ai}}{\mathtt{alai}}$page 578see initialisation of $\mathtt{ai}$
Agriculture100$\mathtt{alai}=clip(\mathtt{alai2},\mathtt{alai1},t,\mathtt{pyear})$page 578see values of $\mathtt{alai1}$, $\mathtt{alai2}$, and $\mathtt{pyear}$
Agriculture101$\mathtt{aiph}=\frac{\mathtt{ai}\times(1-\mathtt{falm})}{\mathtt{al}}$page 578
Agriculture102$\mathtt{lymc}=\mathit{interpolate}(\mathtt{aiph})$page 578see table $\mathtt{lymc}$
Agriculture103$\mathtt{ly}=\mathtt{lyf}\times\mathtt{lfert}\times\mathtt{lymc}\times\mathtt{lymap}$page 578
Agriculture104$\mathtt{lyf}=clip(\mathtt{lyf2},\mathtt{lyf1},t,\mathtt{pyear})$page 578see values of $\mathtt{lyf1}$, $\mathtt{lyf2}$, and $\mathtt{pyear}$
Agriculture105$\mathtt{lymap}=clip(\mathtt{lymap2},\mathtt{lymap1},t,\mathtt{pyear})$page 579see value of $\mathtt{pyear}$
Agriculture106$\mathtt{lymap1}=\mathit{interpolate}\left(\frac{\mathtt{io}}{\mathtt{io70}}\right)$page 579see table $\mathtt{lymap1}$ and value of $\mathtt{io70}$
Agriculture107$\mathtt{lymap2}=\mathit{interpolate}\left(\frac{\mathtt{io}}{\mathtt{io70}}\right)$page 579see table $\mathtt{lymap2}$ and value of $\mathtt{io70}$
Agriculture108$\mathtt{fiald}=\mathit{interpolate}\left(\frac{\mathtt{mpld}}{\mathtt{mpai}}\right)$page 579see table $\mathtt{fiald}$
Agriculture109$\mathtt{mpld}=\frac{\mathtt{ly}}{\mathtt{dcph}\times\mathtt{sd}}$page 579see value of $\mathtt{sd}$
Agriculture110$\mathtt{mpai}=\frac{\mathtt{alai}\times\mathtt{ly}\times\mathtt{mlymc}}{\mathtt{lymc}}$page 579
Agriculture111$\mathtt{mlymc}=\mathit{interpolate}(\mathtt{aiph})$page 579see table $\mathtt{mlymc}$
Agriculture112$\mathtt{all}=\mathtt{alln}\times\mathtt{llmy}$page 580see value of $\mathtt{alln}$
Agriculture113$\mathtt{llmy}=clip(\mathtt{llmy2},\mathtt{llmy1},t,\mathtt{pyear})$page 580see value of $\mathtt{pyear}$
Agriculture114$\mathtt{llmy1}=\mathit{interpolate}\left(\frac{\mathtt{ly}}{\mathtt{ilf}}\right)$page 580see table $\mathtt{llmy1}$
Agriculture115$\mathtt{llmy2}=\mathit{interpolate}\left(\frac{\mathtt{ly}}{\mathtt{ilf}}\right)$page 580see table $\mathtt{llmy2}$
Agriculture116$\mathtt{ler}=\frac{\mathtt{al}}{\mathtt{all}}$page 580
Agriculture117$\mathtt{uilpc}=\mathit{interpolate}(\mathtt{iopc})$page 580see table $\mathtt{uilpc}$
Agriculture118$\mathtt{uilr}=\mathtt{uilpc}\times\mathtt{pop}$page 580
Agriculture119$\mathtt{lrui}=\mathit{max}\left(0,\frac{\mathtt{uilr}-\mathtt{uil}}{\mathtt{uildt}}\right)$page 580see value of $\mathtt{uildt}$
Agriculture120$\frac{d\mathtt{uil}}{dt}=\mathtt{lrui}$page 580see initialisation of $\mathtt{uil}$
Agriculture121$\frac{d\mathtt{lfert}}{dt}=\mathtt{lfr}-\mathtt{lfd}$page 581see initialisation of $\mathtt{lfert}$
Agriculture122$\mathtt{lfdr}=\mathit{interpolate}(\mathtt{ppolx})$page 581see table $\mathtt{lfdr}$
Agriculture123$\mathtt{lfd}=\mathtt{lfert}\times\mathtt{lfdr}$page 581
Agriculture124$\mathtt{lfr}=\frac{\mathtt{ilf}-\mathtt{lfert}}{\mathtt{lfrt}}$page 581see value of $\mathtt{ilf}$
Agriculture125$\mathtt{lfrt}=\mathit{interpolate}(\mathtt{falm})$page 581see table $\mathtt{lfrt}$
Agriculture126$\mathtt{falm}=\mathit{interpolate}(\mathtt{pfr})$page 581see table $\mathtt{falm}$
Agriculture127$\mathtt{fr}=\frac{\mathtt{fpc}}{\mathtt{sfpc}}$page 581see value of $\mathtt{sfpc}$
Agriculture128$\frac{d\mathtt{pfr}}{dt}=\frac{\mathtt{fr}-\mathtt{pfr}}{\mathtt{fspd}}$page 581-2see initialisation of $\mathtt{pfr}$ and value of $\mathtt{fspd}$
Nonrenewable129$\frac{d\mathtt{nr}}{dt}=\mathtt{-nrur}$page 582see initialisation of $\mathtt{nr}$
Nonrenewable130$\mathtt{nrur}=\mathtt{pop}\times\mathtt{pcrum}\times\mathtt{nruf}$page 582
Nonrenewable131$\mathtt{nruf}=clip(\mathtt{nruf2},\mathtt{nruf1},t,\mathtt{pyear})$page 582see values of $\mathtt{nruf1}$, $\mathtt{nruf2}$, and $\mathtt{pyear}$
Nonrenewable132$\mathtt{pcrum}=\mathit{interpolate}(\mathtt{iopc})$page 582see table $\mathtt{pcrum}$
Nonrenewable133$\mathtt{nrfr}=\frac{\mathtt{nr}}{\mathtt{nri}}\times\mathtt{nruf}$page 582see initialisation of $\mathtt{nr}$
Nonrenewable134$\mathtt{fcaor}=clip(\mathtt{fcaor2},\mathtt{fcaor1},t,\mathtt{pyear})$page 582see value of $\mathtt{pyear}$
Nonrenewable135$\mathtt{fcaor1}=\mathit{interpolate}(\mathtt{nrfr})$page 582see table $\mathtt{fcaor1}$
Nonrenewable136$\mathtt{fcaor2}=\mathit{interpolate}(\mathtt{nrfr})$page 582-3see table $\mathtt{fcaor2}$
Pollution137$\mathtt{ppgr}=(\mathtt{ppgio}+\mathtt{ppgao})\times\mathtt{ppgf}$page 583
Pollution138$\mathtt{ppgf}=clip(\mathtt{ppgf2},\mathtt{ppgf1},t,\mathtt{pyear})$page 583see values of $\mathtt{ppgf2}$, $\mathtt{ppgf1}$, and $\mathtt{pyear}$
Pollution139$\mathtt{ppgio}=\mathtt{pcrum}\times\mathtt{pop}\times\mathtt{frpm}\times\mathtt{imef}\times\mathtt{imti}$page 583see values of $\mathtt{frpm}$, $\mathtt{imef}$, and $\mathtt{imti}$
Pollution140$\mathtt{ppgao}=\mathtt{aiph}\times\mathtt{al}\times\mathtt{fipm}\times\mathtt{amti}$page 583see values of $\mathtt{fipm}$ and $\mathtt{amti}$
Pollution141$\frac{d\mathtt{ppapr}}{dt}=3\times\frac{\mathtt{ppapr2}-\mathtt{ppapr}}{\mathtt{pptd}}$page 583see value of $\mathtt{pptd}$
Pollution141$\frac{d\mathtt{ppapr2}}{dt}=3\times\frac{\mathtt{ppapr1}-\mathtt{ppapr2}}{\mathtt{pptd}}$page 583see value of $\mathtt{pptd}$
Pollution141$\frac{d\mathtt{ppapr1}}{dt}=3\times\frac{\mathtt{ppgr}-\mathtt{ppapr1}}{\mathtt{pptd}}$page 583see value of $\mathtt{pptd}$
Pollution142$\frac{d\mathtt{ppol}}{dt}=\mathtt{ppapr}-\mathtt{ppasr}$page 583see initialisation of $\mathtt{ppol}$
Pollution143$\mathtt{ppolx}=\frac{\mathtt{ppol}}{\mathtt{ppol70}}$page 584see value of $\mathtt{ppol70}$
Pollution144$\mathtt{ppasr}=\frac{\mathtt{ppol}}{\mathtt{ahl}\times 1.4}$page 584
Pollution145$\mathtt{ahlm}=\mathit{interpolate}(\mathtt{ppolx})$page 584see table $\mathtt{ahlm}$
Pollution146$\mathtt{ahl}=\mathtt{ahl70}\times\mathtt{ahlm}$page 584see value of $\mathtt{ahl70}$
Supplementary147$\mathtt{foa}=\frac{0.22\times\mathtt{f}}{0.22\times\mathtt{f}+\mathtt{so}+\mathtt{io}}$page 584
Supplementary148$\mathtt{foi}=\frac{\mathtt{io}}{0.22\times\mathtt{f}+\mathtt{so}+\mathtt{io}}$page 584
Supplementary149$\mathtt{fos}=\frac{\mathtt{so}}{0.22\times\mathtt{f}+\mathtt{so}+\mathtt{io}}$page 584

Variable and (ODE) subsystem correspondance

DescriptionNameMain subsystemOther subsystems
Populationpoppopulationland_development, land_erosion_urban_industrial_use, industrial_subsector, service_subsector, non_renewable, persistent_pollution, birth_rate, death_rate
Population, ages 0-14p1population
Population, ages 15-44p2populationjob_subsector
Population, ages 45-64p3populationjob_subsector
Population, ages 65+p4population
Deaths per year, ages 0-14d1population
Deaths per year, ages 15-44d2population
Deaths per year, ages 45-64d3population
Deaths per year, ages 65+d4population
Mortality, ages 0-14m1population
Mortality, ages 15-44m2population
Mortality, ages 45-64m3population
Mortality, ages 65+m4population
Maturation rate, age 14-15mat1population
Maturation rate, age 44-45mat2population
Maturation rate, age 64-65mat3population
Deaths per yeardrdeath_ratepopulation
Crude death ratecdrdeath_rate
Life expectancyledeath_ratebirth_rate,population
Lifetime multiplier from foodlmfdeath_rate
Health services allocations per capitahsapcdeath_rate
Effective health services per capitaehspcdeath_rate
Lifetime multiplier from health serviceslmhsdeath_rate
lmhs before time pyearlmhs1death_rate
lmhs after time pyearlmhs2death_rate
Fraction of population urbanfpudeath_rate
Crowding multiplier from industrializationcmideath_rate
Lifetime multiplier from crowdinglmcdeath_rate
Lifetime multiplier from pollutionlmpdeath_rate
Births per yearbrbirth_ratepopulation
Crude birth ratecbrbirth_rate
Total fertilitytfbirth_ratepopulation
Maximum total fertilitymtfbirth_rate
Fecundity multiplierfmbirth_rate
Desired total fertilitydtfbirth_rate
Compensatory multiplier from perceived life expectancycmplebirth_rate
Perceived life expectancyplebirth_rate
ple1birth_rate
ple2birth_rate
Desired completed family sizedcfsbirth_rate
Social family size normsfsnbirth_rate
Delayed industrial output per capitadiopcbirth_rate
diopc1birth_rate
diopc2birth_rate
Family response to social normfrsnbirth_rate
Family income expectationfiebirth_rate
Averag industrial output per capitaaiopcbirth_rate
Need for fertility controlnfcbirth_rate
Fertility control effectivenessfcebirth_rate
Fertility control facilities per capitafcfpcbirth_rate
fcfpc1birth_rate
fcfpc2birth_rate
Fertility control allocations per capitafcapcbirth_rate
Fraction of services allocated to fertility controlfsafcbirth_rate
Industrial output per capitaiopcindustrial_subsectorland_development, land_erosion_urban_industrial_use, job_subsector, service_subsector, non_renewable, birth_rate, death_rate
Industrial outputioindustrial_subsectoragricultural_inputs, land_development, service_subsector, supplementary_equations
Industrial capital-output ratioicorindustrial_subsector
Industrial capitalicindustrial_subsectorjob_subsector
Industrial capital depreciation rateicdrindustrial_subsector
Average lifetime of industrial capitalalicindustrial_subsector
Industrial capital investment rateicirindustrial_subsector
Fraction of industrial output allocated to industryfioaiindustrial_subsector
Fraction of industrial output allocated to consumptionfioacindustrial_subsector
fioac constantfioaccindustrial_subsector
fioac variablefioacvindustrial_subsector
Indicated service output per capitaisopcservice_subsector
isopc before pyearisopc1service_subsector
isopc after pyearisopc2service_subsector
Fraction of industrial output allocated to servicesfioasservice_subsectorindustrial_subsector
fioas before pyearfioas1service_subsector
fioas after pyearfioas2service_subsector
Service capital investment ratescirservice_subsector
Service capitalscservice_subsectorjob_subsector
Service capital depreciation ratescdrservice_subsector
Average lifetime of service capitalalscservice_subsector
Service outputsoservice_subsectorsupplementary_equations
Service output per capitasopcservice_subsectorjob_subsector, birth_rate, death_rate
Service capital-output ratioscorservice_subsector
Jobsjjob_subsector
Potential jobs in industrial sectorpjisjob_subsector
Jobs per industrial capital unitjpicujob_subsector
Potential jobs in service sectorpjssjob_subsector
Jobs per service capital unitjpscujob_subsector
Potential jobs in agricultural sectorpjasjob_subsector
Jobs per hectarejphjob_subsector
Labor forcelfjob_subsector
Labor utilization fractionlufjob_subsector
Labor utilization fraction delayedlufdjob_subsector
Capital utilization fractioncufjob_subsectorindustrial_subsector, service_subsector
Land fraction cultivatedlfcland_development
Arable landalland_developmentagricultural_inputs, land_erosion_urban_industrial_use, job_subsector, persistent_pollution
Potentially arable landpalland_development
Foodfland_developmentsupplementary_equations
Food per capitafpcland_developmentdiscontinuing_land_maintenance, death_rate
Indicated food per capitaifpcland_development
ifpc before pyearifpc1land_development
ifpc after pyearifpc2land_development
Total agricultural investmenttailand_developmentagricultural_inputs
Fraction of industral ouput allocated to agriculturefioaaland_developmentindustrial_subsector
fioaa before pyearfioaa1land_development
fioaa after pyearfioaa2land_development
Land development rateldrland_development
Development cost per hectaredcphland_developmentinvestment_allocation_decision
Current agricultural inputscaiagricultural_inputs
agricultural inputsaiagricultural_inputs
Average lifetime of agricultural inputsalaiagricultural_inputsinvestment_allocation_decision
Agricultural inputs per hectareaiphagricultural_inputsinvestment_allocation_decision, job_subsector, persistent_pollution
Land yield multiplier from capitallymcagricultural_inputsinvestment_allocation_decision
Land yieldlyagricultural_inputsinvestment_allocation_decision, land_development, land_erosion_urban_industrial_use
Land yield factorlyfagricultural_inputs
Land yield multiplier from air pollutionlymapagricultural_inputs
lymap before pyearlymap1agricultural_inputs
lymap after pyearlymap2agricultural_inputs
Fraction of inputs allocated to land developmentfialdagricultural_inputsinvestment_allocation_decision , land_development
Marginal productivity of land developmentmpldinvestment_allocation_decision
Marginal productivity of agricultural inputsmpaiinvestment_allocation_decision
Marginal land yield multiplier from capitalmlymcinvestment_allocation_decision
Average life of landallland_erosion_urban_industrial_use
Land life multiplier from yeldllmyland_erosion_urban_industrial_use
llmy before pyearllmy1land_erosion_urban_industrial_use
llmy after pyearllmy2land_erosion_urban_industrial_use
Land erosion ratelerland_erosion_urban_industrial_useland_development
Urban-industrial land per capitauilpcland_erosion_urban_industrial_use
Urban-industrial land requireduilrland_erosion_urban_industrial_use
Land removal from urban-industrial uselruiland_erosion_urban_industrial_useland_development
Urban-industrial landuilland_erosion_urban_industrial_use
Land fertilitylfertland_fertility_degradationagricultural_inputs, land_fertility_regeneration
Land fertility degradation ratelfdrland_fertility_degradation
Land fertility degradationlfdland_fertility_degradation
Land fertility regenerationlfrland_fertility_regenerationland_fertility_degradation
Land fertility regeneration timelfrtland_fertility_regeneration
Fraction of inputs allocated to land maintenancefalmdiscontinuing_land_maintenanceagricultural_inputs, land_fertility_regeneration
Food ratiofrdiscontinuing_land_maintenance
Perceived food ratiopfrdiscontinuing_land_maintenance
Nonrenewable resourcesnrnon_renewable
Nonrenewable resource usage ratenrurnon_renewable
Nonrenewable resource usage factornrufnon_renewable
Per capita resource usage multiplierpcrumnon_renewablepersistent_pollution
Nonrenewable resource fraction remainingnrfrnon_renewable
Fraction of capital allocated to obtaining resourcesfcaornon_renewableindustrial_subsector
fcaor before pyearfcaor1non_renewable
fcaor after pyearfcaor2non_renewable
Persistent pollution generation rateppgrpersistent_pollution
Persistent pollution generation factorppgfpersistent_pollution
ppgf before pyearppgf1persistent_pollution
ppgf after pyearppgf2persistent_pollutionadaptive_technological_control_cards
Persistent pollution generated by industrial outputppgiopersistent_pollution
Persistent pollution generated by agricultural outputppgaopersistent_pollution
Persistent pollution appearance rateppaprpersistent_pollution
ppapr1persistent_pollution
ppapr2persistent_pollution
ppapr3persistent_pollution
Persistent pollutionppolpersistent_pollution
Index of persistent pollutionppolxpersistent_pollutionland_fertility_degradation, pollution_damage, death_rate
Persistent pollution assimilation rateppasrpersistent_pollution
Assimilation half-life multiplierahlmpersistent_pollution
Assimilation half-lifeahlpersistent_pollution
Lifetime multiplier from persistent pollutionlmppollution_damageadaptive_technological_control_cards
Land fertility degradation ratelfdrpollution_damage
Fraction of output in agriculturefoasupplementary_equations
Fraction of output in industryfoisupplementary_equations
Fraction of output in servicesfossupplementary_equations

Variable initializations

DescriptionInitializationReference
Agricultural inputs$\mathtt{ai}(0) = 5e9$lines 99.1-2
Arable land$\mathtt{al}(0) = 0.9e9$lines 85.1-2
Average industrial output per capita$\mathtt{aiopc}(0) = \mathtt{iopc}(0)$line 43
Capital utilization fraction$\mathtt{cuf}(0) = 1$line 83.1
Delayed industrial output per capita$\mathtt{diopc}(0) = \mathtt{iopc}(0)$line 40
$\mathtt{diopc1}(0) = \mathtt{iopc}(0)$
$\mathtt{diopc2}(0) = \mathtt{iopc}(0)$
Effective health services per capita$\mathtt{ehspc}(0)=\mathtt{hsapc}(0)$line 22
Fertility control facilities per capita$\mathtt{fcfpc}(0) = \mathtt{fcapc}(0)$line 46
$\mathtt{fcfpc1}(0) = \mathtt{fcapc}(0)$
$\mathtt{fcfpc2}(0) = \mathtt{fcapc}(0)$
Family response to social norm$\mathtt{frsn}(0)=0.82$line 41.2
Industrial capital$\mathtt{ic}(0)=2.1e11$lines 52.1-2
Land fertility$\mathtt{lfert}(0)=600$lines 121.1-2
Labor utilization fraction delay$\mathtt{lufd}(0)=\mathtt{luf}(0)$line 82
Nonrenewable resources$\mathtt{nr}(0)=1e12$lines 129.1-2
Population, ages 0-14$\mathtt{p1}(0)=65e7$lines 2.1-2
Population, ages 15-44$\mathtt{p2}(0)=70e7$lines 6.1-2
Population, ages 45-64$\mathtt{p3}(0)=19e7$lines 10.1-2
Population, ages 65+$\mathtt{p4}(0)=6e7$lines 14.1-2
Potentially arable land$\mathtt{pal}(0) = 2.3e9$lines 86.1-2
Perceived food ratio$\mathtt{pfr}(0)=1$line 128
Perceived life expectancy$\mathtt{ple}(0) = \mathtt{le}(0)$line 37
$\mathtt{ple1}(0) = \mathtt{le}(0)$
$\mathtt{ple2}(0) = \mathtt{le}(0)$
Persistent pollution appearance rate$\mathtt{ppapr}(0) = \mathtt{ppgr}(0)$line 141
$\mathtt{ppapr1}(0) = \mathtt{ppgr}(0)$
$\mathtt{ppapr2}(0) = \mathtt{ppgr}(0)$
$\mathtt{ppapr3}(0) = \mathtt{ppgr}(0)$
Persistent pollution$\mathtt{ppol}(0) = 2.5e7$line 142.1
Service capital$\mathtt{sc}(0) = 1.44e11$lines 67.1-2
Urban-industrial land$\mathtt{uil}(0) = 8.2e6$lines 120.1-2

Parameters

DescriptionNameValueSystem
Assimilation half-life in 1970$\mathtt{ahl}70$$1.5$Pollution
alai before pyear$\mathtt{alai1}$$2$Agriculture
alai after pyear$\mathtt{alai2}$$2$Agriculture
alic before pyear$\mathtt{alic1}$$14$Capital
alic after pyear$\mathtt{alic2}$$14$Capital
Average life of land normal$\mathtt{alln}$$6000$Agriculture
alsc before pyear$\mathtt{alsc1}$$20$Capital
alsc after pyear$\mathtt{alsc2}$$20$Capital
Agricultural materials toxicity index$\mathtt{amti}$$1$Pollution
Desired completed family size normal$\mathtt{dcfsn}$$4$Population
Fertility control effectiveness set time$\mathtt{fcest}$$4000$Population
fioac before pyear$\mathtt{fioac1}$$0.43$Capital
fioac after pyear$\mathtt{fioac2}$$0.43$Capital
Fraction of inputs as persistent materials$\mathtt{fipm}$$0.001$Pollution
Fraction of resources as persistent materials$\mathtt{frpm}$$0.02$Pollution
Food shortage perception delay$\mathtt{fspd}$$2$Agriculture
Health services impact delay$\mathtt{hsid}$$20$Population
icor before pyear$\mathtt{icor1}$$3$Capital
icor after pyear$\mathtt{icor2}$$3$Capital
Income expectation averaging time$\mathtt{ieat}$$3$Population
Industrial equilibrium time$\mathtt{iet}$$4000$Capital
Inherent land fertility$\mathtt{ilf}$$600$Agriculture
Industrial materials emission factor$\mathtt{imef}$$0.1$Pollution
Industrial materials toxicity index$\mathtt{imti}$$10$Pollution
Industrial output in 1970$\mathtt{io}70$$7.9e11$Agriculture
Industrial output per capita desired$\mathtt{iopcd}$$400$Capital
Life expectancy normal$\mathtt{len}$$28$Population
Land fraction harvested$\mathtt{lfh}$$0.7$Agriculture
Labor force participation fraction$\mathtt{lfpf}$$0.75$Capital
Lifetime perception delay$\mathtt{lpd}$$20$Population
Labor utilization fraction delay time$\mathtt{lufdt}$$2$Capital
lyf before pyear$\mathtt{lyf1}$$1$Agriculture
lyf after pyear$\mathtt{lyf2}$$1$Agriculture
Maximum total fertility normal$\mathtt{mtfn}$$12$Population
nruf before pyear$\mathtt{nruf1}$$1$NonRenewable
nruf after pyear$\mathtt{nruf2}$$1$NonRenewable
Potentially arable land total$\mathtt{palt}$$3.2e9$Agriculture
Population equilibrium time$\mathtt{pet}$$4000$Population
Processing loss$\mathtt{pl}$$0.1$Agriculture
ppgf before pyear$\mathtt{ppgf1}$$1$Pollution
ppgf after pyear$\mathtt{ppgf2}$$1$Pollution
Persistent pollution in 1970$\mathtt{ppol70}$$1.36e8$Pollution
Year new policy is implemented$\mathtt{pyear}$$1975$
Reproductive lifetime$\mathtt{rlt}$$30$Population
Social adjustment delay$\mathtt{sad}$$20$Population
Social discount$\mathtt{sd}$$0.07$Agriculture
scor before pyear$\mathtt{scor1}$$1$Capital
scor after pyear$\mathtt{scor2}$$1$Capital
Subsistence food per capita$\mathtt{sfpc}$$230$Agriculture
Technological development and implementation delay$\mathtt{tdd}$$10$Pollution
Urban-industrial land development time$\mathtt{uildt}$$10$Agriculture
Time when desired family size equals 2 children$\mathtt{zpgt}$$4000$NonRenewable

Tables and ranges

Variable nameTableRangeSystem
$\mathtt{ifpc1}$$(230.0, 480.0, 690.0, 850.0, 970.0, 1070.0, 1150.0, 1210.0, 1250.0)$$(0, 1600)$Agriculture
$\mathtt{ifpc2}$$(230.0, 480.0, 690.0, 850.0, 970.0, 1070.0, 1150.0, 1210.0, 1250.0)$$(0, 1600)$Agriculture
$\mathtt{fioaa1}$$(0.4, 0.2, 0.1, 0.025, 0.0, 0.0)$$(0.0, 2.5)$Agriculture
$\mathtt{fioaa2}$$(0.4, 0.2, 0.1, 0.025, 0.0, 0.0)$$(0.0, 2.5)$Agriculture
$\mathtt{dcph}$$(100000.0, 7400.0, 5200.0, 3500.0, 2400.0, 1500.0, 750.0, 300.0, 150.0, 75.0, 50.0)$$(0, 1)$Agriculture
$\mathtt{lymc}$$(1.0, 3.0, 3.8, 4.4, 4.9, 5.4, 5.7, 6.0, 6.3, 6.6, 6.9, 7.2, 7.4, 7.6, 7.8, 8.0, 8.2, 8.4, 8.6, 8.8, 9.0, 9.2, 9.4, 9.6, 9.8, 10.0)$$(0, 1000)$Agriculture
$\mathtt{lymap1}$$(1.0, 1.0, 0.7, 0.4)$$(0, 30)$Agriculture
$\mathtt{lymap2}$$(1.0, 1.0, 0.7, 0.4)$$(0, 30)$Agriculture
$\mathtt{fiald}$$(0.0, 0.05, 0.15, 0.3, 0.5, 0.7, 0.85, 0.95, 1.0)$$(0, 2)$Agriculture
$\mathtt{mlymc}$$(0.075, 0.03, 0.015, 0.011, 0.009, 0.009, 0.007, 0.006, 0.005, 0.005, 0.005, 0.005, 0.005, 0.005, 0.005, 0.005)$$(0, 600)$Agriculture
$\mathtt{llmy1}$$(1.2, 1.0, 0.63, 0.36, 0.16, 0.055, 0.04, 0.025, 0.015, 0.01)$$(0, 9)$Agriculture
$\mathtt{llmy2}$$(1.2, 1.0, 0.63, 0.36, 0.16, 0.055, 0.04, 0.025, 0.015, 0.01)$$(0, 9)$Agriculture
$\mathtt{uilpc}$$(0.005, 0.008, 0.015, 0.025, 0.04, 0.055, 0.07, 0.08, 0.09)$$(0, 1600)$Agriculture
$\mathtt{lfdr}$$(0.0, 0.1, 0.3, 0.5)$$(0, 30)$Agriculture
$\mathtt{lfrt}$$(20.0, 13.0, 8.0, 4.0, 2.0, 2.0)$$(0, 0.1)$Agriculture
$\mathtt{falm}$$(0.0, 0.04, 0.07, 0.09, 0.1)$$(0, 4)$Agriculture
$\mathtt{fioaa}$$(0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1)$$(1900, 2000)$Capital
$\mathtt{fioas2}$$(0.3, 0.2, 0.1, 0.05, 0.0)$$(0, 2)$Capital
$\mathtt{fioas1}$$(0.3, 0.2, 0.1, 0.05, 0.0)$$(0, 2)$Capital
$\mathtt{isopc1}$$(40.0, 300.0, 640.0, 1000.0, 1220.0, 1450.0, 1650.0, 1800.0, 2000.0)$$(0, 1600)$Capital
$\mathtt{isopc2}$$(40.0, 300.0, 640.0, 1000.0, 1220.0, 1450.0, 1650.0, 1800.0, 2000.0)$$(0, 1600)$Capital
$\mathtt{fioacv}$$(0.3, 0.32, 0.34, 0.36, 0.38, 0.43, 0.73, 0.77, 0.81, 0.82, 0.83)$$(0, 2)$Capital
$\mathtt{cuf}$$(1.0, 0.9, 0.7, 0.3, 0.1, 0.1)$$(1, 11)$Capital
$\mathtt{jpicu}$$(0.37, 0.18, 0.12, 0.09, 0.07, 0.06)$$(50, 800)$Capital
$\mathtt{jph}$$(2.0, 0.5, 0.4, 0.3, 0.27, 0.24, 0.2, 0.2)$$(2, 30)$Capital
$\mathtt{aiph}$$(5.0, 11.0, 21.0, 34.0, 58.0, 86.0, 123.0, 61.0, 23.0, 8.0, 3.0)$$(1900, 2100)$Capital
$\mathtt{al}$$(9.0, 10.0, 11.0, 13.0, 16.0, 20.0, 23.0, 24.0, 24.0, 24.0, 24.0)$$(1900, 2100)$Capital
$\mathtt{jpscu}$$(1.1, 0.6, 0.35, 0.2, 0.15, 0.15)$$(50, 800)$Capital
$\mathtt{pop}$$(1.65, 1.73, 1.8, 2.1, 2.3, 2.55, 3.0, 3.65, 4.0, 4.6, 5.15)$$(1900, 2000)$Capital
$\mathtt{fcaor}$$(0.05, 0.05, 0.05, 0.05, 0.05, 0.05, 0.05, 0.05, 0.05, 0.05, 0.05)$$(1900, 2000)$Capital
$\mathtt{pcrum}$$(0.0, 0.85, 2.6, 4.4, 5.4, 6.2, 6.8, 7.0, 7.0)$$(0, 1600)$NonRenewable
$\mathtt{fcaor1}$$(1.0, 0.9, 0.7, 0.5, 0.2, 0.1, 0.05, 0.05, 0.05, 0.05, 0.05)$$(0, 1)$NonRenewable
$\mathtt{fcaor2}$$(1.0, 0.9, 0.7, 0.5, 0.2, 0.1, 0.05, 0.05, 0.05, 0.05, 0.05)$$(0, 1)$NonRenewable
$\mathtt{ahlm}$$(1.0, 11.0, 21.0, 31.0, 41.0)$$(1, 1001)$Pollution
$\mathtt{pcrum}$$(17.0, 30.0, 52.0, 78.0, 138.0, 280.0, 480.0, 660.0, 700.0, 700.0, 700.0)$$(1900, 2100)$Pollution
$\mathtt{pop}$$(16.0, 19.0, 22.0, 31.0, 42.0, 53.0, 67.0, 86.0, 109.0, 139.0, 176.0)$$(1900, 2100)$Pollution
$\mathtt{aiph}$$(6.6, 11.0, 20.0, 34.0, 57.0, 97.0, 168.0, 290.0, 495.0, 845.0, 1465.0)$$(1900, 2100)$Pollution
$\mathtt{al}$$(9.0, 10.0, 11.0, 13.0, 16.0, 20.0, 24.0, 26.0, 27.0, 27.0, 27.0)$$(1900, 2100)$Pollution
$\mathtt{pctcm}$$(0.0, -0.05)$$(0, 0.1)$Pollution
$\mathtt{lmp1}$$(1.0, 0.99, 0.97, 0.95, 0.90, 0.85, 0.75, 0.65, 0.55, 0.40, 0.20)$$(0, 100)$Pollution
$\mathtt{lmp2}$$(1.0, 0.99, 0.97, 0.95, 0.90, 0.85, 0.75, 0.65, 0.55, 0.40, 0.20)$$(0, 100)$Pollution
$\mathtt{lfdr1}$$(0.0, 0.1, 0.3, 0.5)$$(0, 30)$Pollution
$\mathtt{lfdr2}$$(0.0, 0.1, 0.3, 0.5)$$(0, 30)$Pollution
$\mathtt{cmi}$$(0.5, 0.05, -0.1, -0.08, -0.02, 0.05, 0.1, 0.15, 0.2)$$(0, 1600)$Population
$\mathtt{fpu}$$(0.0, 0.2, 0.4, 0.5, 0.58, 0.65, 0.72, 0.78, 0.8)$$(0, 16e9)$Population
$\mathtt{hsapc}$$(0.0, 20.0, 50.0, 95.0, 140.0, 175.0, 200.0, 220.0, 230.0)$$(0.0, 2000.0)$Population
$\mathtt{lmf}$$(0.0, 1.0, 1.2, 1.3, 1.35, 1.4)$$(0.0, 5.0)$Population
$\mathtt{lmhs1}$$(1.0, 1.1, 1.4, 1.6, 1.7, 1.8)$$(0.0, 100.0)$Population
$\mathtt{lmhs2}$$(1.0, 1.4, 1.6, 1.8, 1.95, 2.0)$$(0.0, 100.0)$Population
$\mathtt{lmp}$$(1.0, 0.99, 0.97, 0.95, 0.9, 0.85, 0.75, 0.65, 0.55, 0.4, 0.2)$$(0.0, 100.0)$Population
$\mathtt{fm}$$(0.0, 0.2, 0.4, 0.6, 0.8, 0.9, 1.0, 1.05, 1.1)$$(0.0, 80.0)$Population
$\mathtt{cmple}$$(3.0, 2.1, 1.6, 1.4, 1.3, 1.2, 1.1, 1.05, 1.0)$$(0.0, 80.0)$Population
$\mathtt{sfsn}$$(1.25, 1.0, 0.9, 0.8, 0.75)$$(0.0, 800.0)$Population
$\mathtt{frsn}$$(0.5, 0.6, 0.7, 0.85, 1.0)$$(-0.2, 0.2)$Population
$\mathtt{fce}$$(0.75, 0.85, 0.9, 0.95, 0.98, 0.99, 1.0)$$(0.0, 3.0)$Population
$\mathtt{fsafc}$$(0.0, 0.005, 0.015, 0.025, 0.03, 0.035)$$(0.0, 10.0)$Population
$\mathtt{m1}$$(0.0567, 0.0366, 0.0243, 0.0155, 0.0082, 0.0023, 0.001)$$(20, 80)$Population
$\mathtt{m2}$$(0.0266, 0.0171, 0.0110, 0.0065, 0.0040, 0.0016, 0.0008)$$(20, 80)$Population
$\mathtt{m3}$$(0.0562, 0.0373, 0.0252, 0.0171, 0.0118, 0.0083, 0.006)$$(20, 80)$Population
$\mathtt{m4}$$(0.13, 0.11, 0.09, 0.07, 0.06, 0.05, 0.04)$$(20, 80)$Population