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International Futures Help System

Equations: Energy Infrastructure

Percentage of urban population with access to electricity

Percentage of urban population with access to electricity

INFRAELECACC(urban) = percent of urban population with access to electricity in percentage

INCOMELT1CS = population with income less than $1.25 per day, cross sectional computation in millions

POP = total population in million persons

GOVEFFECT = government effectiveness using the World Bank WGI scale, shifting it 2.5 points so that it runs from 0-5 instead of from -2.5 to 2.5

  • additive shift factor: INFRAELECACCShift(R%, Urban), downward shift over 500 years, upward shift over 50 years
  • multiplier: infraelecaccm
  • targeting parameters: infraelecacctrgtval, infraelecacctrgtyr, infraelecaccsetar, infraelecaccseyrtar
  • value is not allowed to decline in the absence of a target or multiplier or lack of finance for maintenance
  • cross-sectional data, GLM regression, R-squared = 0.68

 

Percentage of rural population with access to electricity

Percentage of rural population with access to electricity

INFRAELECACC(rural) = percent of urban population with access to electricity in percentage

INCOMELT1CS = population with income less than $1.25 per day, cross sectional computation in millions

POP = total population in million persons

GOVEFFECT = government effectiveness using the World Bank WGI scale, shifting it 2.5 points so that it runs from 0-5 instead of from -2.5 to 2.5

  • shift factor: INFRAELECACCShift(R%, Urban), downward shift over 500 years, upward shift over 50 years
  • multiplier: infraelecaccm
  • targeting parameters: infraelecacctrgtval, infraelecacctrgtyr, infraelecaccsetar, infraelecaccseyrtar
  • value is not allowed to decline in the absence of a target or multiplier or lack of finance for maintenance
  • cross-sectional data, GLM regression, R-squared = 0.77

 

Ratio of electricity use to total primary energy demand

Ratio of electricity use (1)

where

Ratio of electricity use

Ratio of electricity use (3)

ENELECSHRENDEM = ratio of electricity use to total primary energy demand, in percentage

GDPPCP = gross domestic product per capita at purchasing power parity in thousand constant 2005 dollars

INFRAELECACC(national) = percent of total population with access to electricity in percentage

FossilShare = ratio of fossil fuel production to total primary energy demand in base year, as a fraction

NonFossilShare= ratio of hydroelectric and renewable energy production to total primary energy demand in base year, as a fraction

ENP = energy production for oil, gas, coal, hydro, and other renewables in billion barrels of oil equivalent

ENDEM = total primary energy use in billion barrels of oil equivalent

  • uses an extrapolative formulation: extmafuncenelecshr, extmaposnconvtimeenelecshr, extmaposnenelecshr
  • no shift factor
  • multiplier: enelecshrendemm
  • value is not allowed to decline in the absence of a target or multiplier or lack of finance for maintenance
  • cross-sectional data, OLS regression, R-squared = 0.65

As described in the flowchart for electricity the value of ENELECSHRENDEM is used to calculate the value of desired electricity use, given by INFRAELEC * POP, where INFRAELEC is electricity consumption per capita in kilowatt-hours and POP is total population in million persons. INFRAELEC is in initially calculated as:

Ratio of electricity use (4)

INFRAELEC = electricity consumption per capita in kilowatt-hours

ENDEM = total primary energy use in billion barrels of oil equivalent

EnDemDFRI = a multiplicative shift factor based on the ratio of the actual energy consumption in physical units in the historical data to the apparent energy consumption calculated in the pre-processor as part of adjusting the physical data to match the financial data on energy imports and exports; this converges to a value of 1 over a number of years given by the parameter enconv

17,000 = the conversion factor from barrels of oil equivalent to kilowatt-hours

POP = total population in million persons

  • an additional multiplicative shift factor, InfraElecRI, which converges over 40 years to a value of 1, is used to further adjust the estimate of INFRAELEC

 

Percentage of electricity lost in transmission and distribution

Percentage or electricity lost in transmission and distribution

INFRAELECTRANLOSS = transmission and distribution loss as a percentage of total electricity production, in percentage

GDPPCP = gross domestic product per capita at purchasing power parity in thousand constant 2005 dollars

GOVEREGQUAL = government regulatory quality using the World Bank WGI scale, shifting it 2.5 points so that it runs from 0-5 instead of from -2.5 to 2.5

  • uses extrapolative formulation: extmafuncelectran, extmaposnconvtimeelectran, extmaposnelectran
  • additive shift factor: INFRAELECTRANLOSSShift, converges downward over 50 years, upward over 500 years
  • multiplier: infraelectranlossm
  • bound between 3 and 90
  • pooled cross-sectional data, OLS regression, R-squared = 0.85

 

Percentage of population primarily using solid fuels for heating and cooking

Percentage of population using solid fuels

ENSOLFUEL = ratio of electricity use to total primary energy demand, in percentage

GDPPCP = gross domestic product per capita at purchasing power parity in thousand constant 2005 dollars

INFRAELECACC(national) = percent of total population with access to electricity in percentage

  • multiplicative shift factor: ENSOLFUELShift; never converges
  • multiplier: ensolfuelm
  • targeting parameters: ensolfuelsetar, ensolfueltrgtyr, ensolfuelsetar, ensolfuelseyrtar
  • hold switch: ensolflhldsw, fixes value of ENSOLFUEL at initial year value
  • cross-sectional data, GLM regression, R-squared = 0.81