Values 
Conditions and Descriptions 
Start Year = 2015 
 Start Year = year that variables begin to apply to projections (reflected in next year)

Fprog = ( F_{year}  F_{year1}) / ( Flimit_{year1}  F_{year1})
Fprogpref = A * Fe_{year1} 
 Fprog = footprint progress
 Fprogpref = preferred footprint progress
 Fe + 2 * FeMin < FeTotal
 Flimit = ( FeTotal  P * Fmin ) / P
 A = 0.003497308
 Fmin = 7.23E11 Earth/person/year

Pprog = ( P_{year}  P_{year1}) / ( Plimit_{year1}  P_{year1})
Pprogpref = B1 * Fe_{year1}^{B2} 
 Pprog = population progress
 Pprogpref = preferred population progress
 Fe + 2 * FeMin < FeTotal
 Plimit = FeTotal / ( F + Fmin )
 B1 = 0.01613707
 B2 = 1.448977982

( P_{year}  P_{year1}) / P_{year1} <= Maximum [ ( P_{year}  P_{year1}) / P_{year1}]_{year = 1950 to 2015} 

Total Resources = FeTotal_{year} = Rrate * (year  year_{0}) + FeTotal_{0} 
 FeTotal_{0} = 2.783331687 Earth/year
 year_{0} = start year
 Rrate = annual rate of change = 0

FeMin_{adj} = FeMin_{proj}  [ FeTotal_{year}  (Fe_{proj} + 2 FeMin_{proj} ) ] 
 FeMin_{adj} = adjusted FeMin
 P_{proj} = Pprogpref * ( Plimit_{year1}  P_{year1})
 F_{proj} = Fprogpref * ( Flimit_{year1}  F_{year1})
 FeMin_{proj} = projected Femin = P_{proj} * Fmin
 Fe_{proj} = P_{proj} * F_{proj}

F_{adj} = Fmin * ( FeTotal_{year}  2 * FeMin_{adj} ) / Femin_{adj} 
 P_{adj} = adjusted P = FeMin_{adj} / Fmin

P_{year} = P_{year1}+ Pdelta

 Pdelta = Pweight * (P_{adj}  P_{year1})
 Pweight = P overshoot weight = 1

F_{year} = F_{year1}+ Fdelta 
 Fdelta = Fweight * (F_{adj}  F_{year1})
 Fweight = F overshoot weight = 1

Economy = 3.57763284972246E18 * ( P * h )^{2} 
 Economy = Gross World Product ($T 2009)
 h = happiness = F / ( 1.22 * F + Fmin )
 Fmin = 7.23E11

L = 1.74359E06 * Fe^{4} + 0.000292725 * Fe^{3} + 0.01679366 * Fe^{2}  0.314351519 
 L = life expectancy in years
 Fe = global footprint in Earth/year
