Nomenclature

Rules of thumb:

Notations used in this FeliX documentation page are self-expressed as much as possible. We use $Pop$ to represent global population or $GWP\_per\_Cap$ to represent gross world product per capita. We also use abbreviations for some variables with long name, such as $GWP$ representing gross world product or $LE$ representing life expectancy. The full names of abbreviations are spelled out befor defining them.

Subscriptions are used to represent different values of one singe variable. Examples are $Pop_{male,\text{“5‒9”}}$ and $Pop_{female,\text{“45‒49”}}$ represent total population of male at the age between 5‒9 and total population of female at the age between 45‒49, respectively.

We use underscores to link two or more words in one notation and capitalize the first letter of each word except conjunction (e.g., per, of, on, and etc.) Examples are $GWP\_per\_Cap$ represents gross world product per capita.

Predefined functions in Vensim are represented by notations with capitalized letters, such as DELAY1 for the delay function.

Notations are listed by alphabet. The associated explanations and units (if any) are also listed in this page.

Please DO NOT hesitate to contact us for further questions and/or suggestions.

Notations	Descriptions of the objective	Unit
$age$	Age cohorts of population, distinguished into 5-year age intervals between the ages of 0 and 100+
$ALN_{food}$	Arable land needed by plant-based food category, including pulses, grains, vegetables and fruits, and other crops	Hectare (ha)
$Area\_Harv$	Area harvested by plant-based food including pulses, grains, vegetables and fruits, and other crops	ha
$Area\_Irr$	Agricultural land areas of irrigation	ha
$Area\_Rfed$	Agricultural land areas of rainfed	ha
$B$	Billion
$Bith_{gender}$	Birth rate by gender	Person/Year
$C\_Emis\_Agri$	Carbon emission rates from agricultural land use change	Ton_C/Year
$C\_Emis\_En_{energy}$	Carbon emission rates from energy production by energy type	Ton_C/Year
$C\_Emis\_Frst$	Carbon emission rates from forest land use change	Ton_C/Year
$C\_Emis\_Land$	Carbon emission rates from total land use change	Ton_C/Year
$C\_Int_{energy}$	Carbon intensity by different energy sources	Ton_C/Mtoe
$C\_Int\_Agri$	Carbon intensity of agricultural land use change	Ton_C/Year
$C\_Int\_Frst$	Carbon intensity of forest land use change	Ton_C/Year
$C\_Stk\_Atm$	Carbon in the atmosphere	Ton_C
$C\_Stk\_Biom$	Carbon in the biomass (e.g., leaves, branches, stems and roots)	Ton_C
$C\_Stk\_Ocn$	Carbon in the mixed ocean layer	Ton_C
$C\_Stk\_Soil$	Carbon in the soil	Ton_C
$Cal\_Dem_{food}$	Annual caloric demand by different food category	kcal/Year
$Death_{gender,age}$	Death rates by gender and age cohort	Person/Year
$Death\_Prim_{gender,age}$	Death rates of primary education graduates by gender and age cohort	Person/Year
$Deg$	Degree
$DELAY1$	Predefined function in the Vensim software, representing first order exponential delay
$Drght\_Rat$	Fraction to represent extreme drought event	Dimensionless (Dmnl)
$Dur\_Prim$	Average duration of primary education	Year
$Dur\_Sec$	Average duration of secondary education	Year
$Dur\_Tert$	Average duration of tertiary education	Year
$Eff\_Expl\_Inv_{oil}$	Effective investments in oil exploration	$/Year
$Eff\_MS\_Price_{energy}$	Effects of price on the market share by energy type	Dmnl
$En\_Dem\_per\_Cap$	Energy demand per capita	Mtoe/(Year*Person)
$En\_Dem\_per\_Cap\_Max$	Maximal reference energy demand per capita	Mtoe/(Year*Person)
$Enrl\_Prim_{gender,age}$	Enrollment rate to primary education by gender and age cohort	Person/Year
$Enrl\_Sec_{gender,age}$	Enrollment rate from primary to secondary education by gender and age cohort	Person/Year
$Expl_{oil}$	Annual oil exploration rate	Mtoe/Year
$Expl\_Pot_{oil}$	Potential exploration rate of oil	Mtoe/Year
$Expl\_Des_{oil}$	Desired exploration rate of oil	Mtoe/Year
$Fert_{age}$	Fertility rates by age cohorts	Dmnl
$g_{gender}$	Birth gender fraction, i.e., female infanticide	Dmnl
$gender$	Gender of population, distinguished as male and female
$Gini_{gender,age}$	Gini coefficient of income per capita by gender and age cohort	Dmnl
$Grad\_Prim_{gender,age}$	Graduation rate from primary education by gender and age	Person/Year
$GWP\_per\_Cap$	Gross world product (GWP) per capita	$/(Person*Year)
$Imp\_Biodiv\_on\_GWP$	Impacts on gross world product (GWP) from biodiversity	Dmnl
$Imp\_Biom\_on\_Biodiv$	Impact on species carrying capacity from forest and crops biomass production	Dmnl
$Imp\_CC\_on\_Biodiv$	Impact on species carrying capacity from climate risk	Dmnl
$Imp\_CC\_on\_GWP$	Impacts on gross world product (GWP) from climate change	Dmnl
$Imp\_CC\_on\_LE$	Impacts on life expectancy from climate change	Dmnl
$Imp\_CC\_on\_Mort$	Impacts on mortality from climate change	Dmnl
$Imp\_Edu\_on\_Fert$	Impact on fertility from education level	Dmnl
$Imp\_Fertz\_on\_Biodiv$	Impact on species carrying capacity from fertilization practices	Dmnl
$Imp\_GWP\_on\_En\_Dem$	Impact on energy demand per capita from wealth (represented by gross world product (GWP) per capita)	Dmnl
$Imp\_GWP\_on\_Fert$	Impact on fertility from wealth (represented by gross world product (GWP) per capita)	Dmnl
$Imp\_GWP\_on\_Prim_{gender}$	Impacts on primary school enrollment from wealth (represented by GWP per capita)	Dmnl
$Imp\_Land\_on\_Biodiv$	Impact on species carrying capacity from land use change	Dmnl
$Income\_per\_Cap_{gender,age}$	Income per capita of population by gender and age cohort	$/(Person*Year)
$Intk\_Meat_{food}$	Annual per-capita intake of plant- and meat-based calories in the meat-based diet. Plant-based calories are from plant-based food of pulses, grains, vegetables and fruits, and other crops while meat-based calories are from animal-based food of pasture-based meat, crop-based meat, dairy, and eggs	kcal/(Person*Year)
$Intk\_Veg_{food}$	Annual per-capita intake of plant-based calories in the vegetarian diet, which are from plant-based food of pulses, grains, vegetables and fruits, and other crops	kcal/(Person*Year)
$Intvl\_Dur$	Age interval duration, of which the value is 5	Year
$K$	Captial stock	$
$k_{age}$	Parameter used in the logistic function to estimate age-specific fertility rate	Dmnl
$K\_Init$	Initial capital stock in 1900	$
$L_{age}$	Fertility variation by age, a parameter used in the logistic function to estimate age-specific fertility rate	Dmnl
$L0_{age}$	Parameter used in the logistic function to estimate age-specific fertility rate	Dmnl
$Land\_Chg\_Agri$	Ratio of agricultural land area change compared to its initial area in year 1900	Dmnl
$Land\_Chg\_Frst$	Ratio of forest land area change compared to its initial area in year 1900	Dmnl
$LE$	Global average life expectancy at birth	Year
$LE_{gender,age}$	Life expectancy by gender and age cohorts	Year
$LF_{gender,age,skill}$	Labor force by gender, age cohorts, and skills (distinguished by skilled and unskilled labor force)	Person
$LF\_Input_{gender,age,skill}$	Labor force input in the economic production by gender, age cohort, and labor force skills	Dmnl
$Matur_{gender,age}$	Maturation rates by gender and age cohorts	Person/Year
$Matur\_Prim_{gender,age}$	Maturation rates of primary education graduates by gender and age cohort	Person/Year
$Mort_{gender,age}$	Mortality fraction by gender and age cohorts	Dmnl
$MS_{energy}$	Market shares by energy type	Dmnl
$MS\_Ind_{energy}$	Indicative market shares by energy type	Dmnl
$MS\_Ref_{energy}$	Reference market share by energy type	Dmnl
$MSA$	Mean species abundance relative to their abundance in undisturbed ecosystems	Dmnl
$MYS$	Mean years of schooling	Year
$Norm\_Fert$	Normal fertility of mature reproductive population	Dmnl
$P$	Total global amount of elemental phosphorus accumulating in the soil	Ton
$PEF_{gender}$	Primary education enrollment fraction by gender	Dmnl
$PEG_{gender,age}$	Primary education graduates by gender and age cohort	Person
$PL$	International extreme poverty line, defined as minimum consumption or income of a person per day	$/(Person*Day)
$PR$	Global poverty rate	%
$PR_{gender,age}$	Poverty rate of population by gender and age cohort	%
$Prod_{energy}$	Annual production of different energy types	Mtoe/Year
$Prod_{food}$	Annual production of different categories of food	Ton/Year
$Prod\_Des_{food}$	Desired production rate by plant-based food, including pulses, grains, vegetables and fruits, and other crops	Ton/Year
$Prodvty\_Expl\_Inv_{oil}$	Productivity of available technologies	toe/$
$Pop_{gender,age}$	Global total population by gender and age cohort	Person
$Pop\_Meat$	Meat-eating population	Person
$Pop\_Veg$	Vegetarian population	Person
$R^2$	The R square	Dmnl
$Real\_Income\_Param_{gender,age}$	Parameters to adjust the real income by gender and age cohorts	Dmnl
$Ref\_PEF_{gender}$	Maximum possible enrollment fraction, as reference value of primary education enrollment fraction, by gender	Dmnl
$REO$	Global total reference economic output	$/Year
$REO_{skill}$	Reference economic output by labor force skills	$/Year
$REO\_Init_{skill}$	Initial global total reference economic output in 1900, by skills	$/Year
$SEG_{gender,age}$	Secondary education graduates by gender and age cohort	Person
$Spec\_Capa$	Species carrying capacity defined as the equilibrium or maximum sustainable species population	Dmnl
$Spec\_Capa\_Max$	Reference species carrying capacity for year 1900, representing maximum sustained population size	Dmnl
$Spec\_Extn$	Average rate of species extinction	1/Year
$Spec\_Regen$	Average rate of species regeneration	1/Year
SSP2	Shared socioeconomic pathway 2
$Tech$	Technology-related factor productivity	Dmnl
$Tech\_En$	Technology-related factor productivity in energy sectors	Dmnl
$Tech\_Oth$	Technology-related factor productivity in other sectors	Dmnl
$TEG_{gender,age}$	Tertiary education graduates by gender and age cohort	Dmnl
$T\_Adj$	Time to adjust the market share	Year
$Tot\_Fert$	Total fertility of mature reproductive population	Dmnl
$Wat\_Avail\_Adj$	Available water resources adjustment	$m^3$/Year
$Wat\_Cons$	Consumption of water from economic sectors	$m^3$/Year
$Wat\_Drght$	Water drought out rate representing extreme drought events	$m^3$/Year
$Wat\_Dem\_Agri$	Agricultural water demand	$m^3$/Year
$Wat\_Dem\_Dom$	Domestic water demand	$m^3$/Year
$Wat\_Dem\_Ind$	Industrial water demand	$m^3$/Year
$Wat\_Int\_Dom$	Average domestic water demand per capita	$m^3$/(Year*Person)
$Wat\_Int\_Irr$	Average agricultural water use per square agricultural land areas of irrigation	$m^3$/($m^2$*Year)
$Wat\_Int\_Rfed$	Average agricultural water use per square agricultural land areas of rainfed	$m^3$/($m^2$*Year)
$Wat\_Recov$	Water recovery rate of used water resources by economic sectors	$m^3$/Year
$Wat\_Sup$	Water supply rate of freshwater and non-conventional water	$m^3$/Year
$Wat\_Sup\_Fulf$	Water supply fulfillment rate	Dmnl
$Wat\_Use$	Total used water resources	$m^3$
$Wat\_Withd\_Agri$	Water withdrawal rate by the agricultural sector	$m^3$/Year
$Wat\_Withd\_Dom$	Water withdrawal rate by the domestic sector	$m^3$/Year
$Wat\_Withd\_Fulf$	Water withdrawal fulfillment rate	Dmnl
$Wat\_Withd\_Ind$	Water withdrawal rate by the industrial sector	$m^3$/Year
$Wat\_Withd\_Max$	Max possible water withdrawal rate due to available water resources	$m^3$/Year
$x0_{age}$	Parameter used in the logistic function to estimate age-specific fertility rate	Dmnl
$Yield_{food}$	Crop yield by plant-based food including pulses, grains, vegetables and fruits, and other crops	Ton/(Year*ha)
$Yield\_Exp_{food}$	Expected crop yield by plant-based food including pulses, grains, vegetables and fruits, and other crops	Ton/(Year*ha)
$\delta_{gender,age}$	The standard deviation of the log-normal distribution function of the income per capita	Dmnl
$\mu_{gender,age}$	The mean value of the log-normal distribution function of the income per capita	$/(Person*Year)
$\varphi_{gender,age}$	Ratio of life expectancy to life expectancy at birth by gender and age cohort	Dmnl
$\varphi\_K_{skill}$	Ratio of capital allocated to the labor force, by skills	Dmnl
$\varphi\_Tech_{skill}$	Ratio of technology allocated to the labor force, by skills	Dmnl

Notations	Descriptions of the objective	Unit
\(age\)	Age cohorts of population, distinguished into 5-year age intervals between the ages of 0 and 100+
\(ALN_{food}\)	Arable land needed by plant-based food category, including pulses, grains, vegetables and fruits, and other crops	Hectare (ha)
\(Area\_Harv\)	Area harvested by plant-based food including pulses, grains, vegetables and fruits, and other crops	ha
\(Area\_Irr\)	Agricultural land areas of irrigation	ha
\(Area\_Rfed\)	Agricultural land areas of rainfed	ha
\(B\)	Billion
\(Bith_{gender}\)	Birth rate by gender	Person/Year
\(C\_Emis\_Agri\)	Carbon emission rates from agricultural land use change	Ton_C/Year
\(C\_Emis\_En_{energy}\)	Carbon emission rates from energy production by energy type	Ton_C/Year
\(C\_Emis\_Frst\)	Carbon emission rates from forest land use change	Ton_C/Year
\(C\_Emis\_Land\)	Carbon emission rates from total land use change	Ton_C/Year
\(C\_Int_{energy}\)	Carbon intensity by different energy sources	Ton_C/Mtoe
\(C\_Int\_Agri\)	Carbon intensity of agricultural land use change	Ton_C/Year
\(C\_Int\_Frst\)	Carbon intensity of forest land use change	Ton_C/Year
\(C\_Stk\_Atm\)	Carbon in the atmosphere	Ton_C
\(C\_Stk\_Biom\)	Carbon in the biomass (e.g., leaves, branches, stems and roots)	Ton_C
\(C\_Stk\_Ocn\)	Carbon in the mixed ocean layer	Ton_C
\(C\_Stk\_Soil\)	Carbon in the soil	Ton_C
\(Cal\_Dem_{food}\)	Annual caloric demand by different food category	kcal/Year
\(Death_{gender,age}\)	Death rates by gender and age cohort	Person/Year
\(Death\_Prim_{gender,age}\)	Death rates of primary education graduates by gender and age cohort	Person/Year
\(Deg\)	Degree
\(DELAY1\)	Predefined function in the Vensim software, representing first order exponential delay
\(Drght\_Rat\)	Fraction to represent extreme drought event	Dimensionless (Dmnl)
\(Dur\_Prim\)	Average duration of primary education	Year
\(Dur\_Sec\)	Average duration of secondary education	Year
\(Dur\_Tert\)	Average duration of tertiary education	Year
\(Eff\_Expl\_Inv_{oil}\)	Effective investments in oil exploration	$/Year
\(Eff\_MS\_Price_{energy}\)	Effects of price on the market share by energy type	Dmnl
\(En\_Dem\_per\_Cap\)	Energy demand per capita	Mtoe/(Year*Person)
\(En\_Dem\_per\_Cap\_Max\)	Maximal reference energy demand per capita	Mtoe/(Year*Person)
\(Enrl\_Prim_{gender,age}\)	Enrollment rate to primary education by gender and age cohort	Person/Year
\(Enrl\_Sec_{gender,age}\)	Enrollment rate from primary to secondary education by gender and age cohort	Person/Year
\(Expl_{oil}\)	Annual oil exploration rate	Mtoe/Year
\(Expl\_Pot_{oil}\)	Potential exploration rate of oil	Mtoe/Year
\(Expl\_Des_{oil}\)	Desired exploration rate of oil	Mtoe/Year
\(Fert_{age}\)	Fertility rates by age cohorts	Dmnl
\(g_{gender}\)	Birth gender fraction, i.e., female infanticide	Dmnl
\(gender\)	Gender of population, distinguished as male and female
\(Gini_{gender,age}\)	Gini coefficient of income per capita by gender and age cohort	Dmnl
\(Grad\_Prim_{gender,age}\)	Graduation rate from primary education by gender and age	Person/Year
\(GWP\_per\_Cap\)	Gross world product (GWP) per capita	$/(Person*Year)
\(Imp\_Biodiv\_on\_GWP\)	Impacts on gross world product (GWP) from biodiversity	Dmnl
\(Imp\_Biom\_on\_Biodiv\)	Impact on species carrying capacity from forest and crops biomass production	Dmnl
\(Imp\_CC\_on\_Biodiv\)	Impact on species carrying capacity from climate risk	Dmnl
\(Imp\_CC\_on\_GWP\)	Impacts on gross world product (GWP) from climate change	Dmnl
\(Imp\_CC\_on\_LE\)	Impacts on life expectancy from climate change	Dmnl
\(Imp\_CC\_on\_Mort\)	Impacts on mortality from climate change	Dmnl
\(Imp\_Edu\_on\_Fert\)	Impact on fertility from education level	Dmnl
\(Imp\_Fertz\_on\_Biodiv\)	Impact on species carrying capacity from fertilization practices	Dmnl
\(Imp\_GWP\_on\_En\_Dem\)	Impact on energy demand per capita from wealth (represented by gross world product (GWP) per capita)	Dmnl
\(Imp\_GWP\_on\_Fert\)	Impact on fertility from wealth (represented by gross world product (GWP) per capita)	Dmnl
\(Imp\_GWP\_on\_Prim_{gender}\)	Impacts on primary school enrollment from wealth (represented by GWP per capita)	Dmnl
\(Imp\_Land\_on\_Biodiv\)	Impact on species carrying capacity from land use change	Dmnl
\(Income\_per\_Cap_{gender,age}\)	Income per capita of population by gender and age cohort	$/(Person*Year)
\(Intk\_Meat_{food}\)	Annual per-capita intake of plant- and meat-based calories in the meat-based diet. Plant-based calories are from plant-based food of pulses, grains, vegetables and fruits, and other crops while meat-based calories are from animal-based food of pasture-based meat, crop-based meat, dairy, and eggs	kcal/(Person*Year)
\(Intk\_Veg_{food}\)	Annual per-capita intake of plant-based calories in the vegetarian diet, which are from plant-based food of pulses, grains, vegetables and fruits, and other crops	kcal/(Person*Year)
\(Intvl\_Dur\)	Age interval duration, of which the value is 5	Year
\(K\)	Captial stock	$
\(k_{age}\)	Parameter used in the logistic function to estimate age-specific fertility rate	Dmnl
\(K\_Init\)	Initial capital stock in 1900	$
\(L_{age}\)	Fertility variation by age, a parameter used in the logistic function to estimate age-specific fertility rate	Dmnl
\(L0_{age}\)	Parameter used in the logistic function to estimate age-specific fertility rate	Dmnl
\(Land\_Chg\_Agri\)	Ratio of agricultural land area change compared to its initial area in year 1900	Dmnl
\(Land\_Chg\_Frst\)	Ratio of forest land area change compared to its initial area in year 1900	Dmnl
\(LE\)	Global average life expectancy at birth	Year
\(LE_{gender,age}\)	Life expectancy by gender and age cohorts	Year
\(LF_{gender,age,skill}\)	Labor force by gender, age cohorts, and skills (distinguished by skilled and unskilled labor force)	Person
\(LF\_Input_{gender,age,skill}\)	Labor force input in the economic production by gender, age cohort, and labor force skills	Dmnl
\(Matur_{gender,age}\)	Maturation rates by gender and age cohorts	Person/Year
\(Matur\_Prim_{gender,age}\)	Maturation rates of primary education graduates by gender and age cohort	Person/Year
\(Mort_{gender,age}\)	Mortality fraction by gender and age cohorts	Dmnl
\(MS_{energy}\)	Market shares by energy type	Dmnl
\(MS\_Ind_{energy}\)	Indicative market shares by energy type	Dmnl
\(MS\_Ref_{energy}\)	Reference market share by energy type	Dmnl
\(MSA\)	Mean species abundance relative to their abundance in undisturbed ecosystems	Dmnl
\(MYS\)	Mean years of schooling	Year
\(Norm\_Fert\)	Normal fertility of mature reproductive population	Dmnl
\(P\)	Total global amount of elemental phosphorus accumulating in the soil	Ton
\(PEF_{gender}\)	Primary education enrollment fraction by gender	Dmnl
\(PEG_{gender,age}\)	Primary education graduates by gender and age cohort	Person
\(PL\)	International extreme poverty line, defined as minimum consumption or income of a person per day	$/(Person*Day)
\(PR\)	Global poverty rate	%
\(PR_{gender,age}\)	Poverty rate of population by gender and age cohort	%
\(Prod_{energy}\)	Annual production of different energy types	Mtoe/Year
\(Prod_{food}\)	Annual production of different categories of food	Ton/Year
\(Prod\_Des_{food}\)	Desired production rate by plant-based food, including pulses, grains, vegetables and fruits, and other crops	Ton/Year
\(Prodvty\_Expl\_Inv_{oil}\)	Productivity of available technologies	toe/$
\(Pop_{gender,age}\)	Global total population by gender and age cohort	Person
\(Pop\_Meat\)	Meat-eating population	Person
\(Pop\_Veg\)	Vegetarian population	Person
\(R^2\)	The R square	Dmnl
\(Real\_Income\_Param_{gender,age}\)	Parameters to adjust the real income by gender and age cohorts	Dmnl
\(Ref\_PEF_{gender}\)	Maximum possible enrollment fraction, as reference value of primary education enrollment fraction, by gender	Dmnl
\(REO\)	Global total reference economic output	$/Year
\(REO_{skill}\)	Reference economic output by labor force skills	$/Year
\(REO\_Init_{skill}\)	Initial global total reference economic output in 1900, by skills	$/Year
\(SEG_{gender,age}\)	Secondary education graduates by gender and age cohort	Person
\(Spec\_Capa\)	Species carrying capacity defined as the equilibrium or maximum sustainable species population	Dmnl
\(Spec\_Capa\_Max\)	Reference species carrying capacity for year 1900, representing maximum sustained population size	Dmnl
\(Spec\_Extn\)	Average rate of species extinction	1/Year
\(Spec\_Regen\)	Average rate of species regeneration	1/Year
SSP2	Shared socioeconomic pathway 2
\(Tech\)	Technology-related factor productivity	Dmnl
\(Tech\_En\)	Technology-related factor productivity in energy sectors	Dmnl
\(Tech\_Oth\)	Technology-related factor productivity in other sectors	Dmnl
\(TEG_{gender,age}\)	Tertiary education graduates by gender and age cohort	Dmnl
\(T\_Adj\)	Time to adjust the market share	Year
\(Tot\_Fert\)	Total fertility of mature reproductive population	Dmnl
\(Wat\_Avail\_Adj\)	Available water resources adjustment	\(m^3\)/Year
\(Wat\_Cons\)	Consumption of water from economic sectors	\(m^3\)/Year
\(Wat\_Drght\)	Water drought out rate representing extreme drought events	\(m^3\)/Year
\(Wat\_Dem\_Agri\)	Agricultural water demand	\(m^3\)/Year
\(Wat\_Dem\_Dom\)	Domestic water demand	\(m^3\)/Year
\(Wat\_Dem\_Ind\)	Industrial water demand	\(m^3\)/Year
\(Wat\_Int\_Dom\)	Average domestic water demand per capita	\(m^3\)/(Year*Person)
\(Wat\_Int\_Irr\)	Average agricultural water use per square agricultural land areas of irrigation	\(m^3\)/(\(m^2\)*Year)
\(Wat\_Int\_Rfed\)	Average agricultural water use per square agricultural land areas of rainfed	\(m^3\)/(\(m^2\)*Year)
\(Wat\_Recov\)	Water recovery rate of used water resources by economic sectors	\(m^3\)/Year
\(Wat\_Sup\)	Water supply rate of freshwater and non-conventional water	\(m^3\)/Year
\(Wat\_Sup\_Fulf\)	Water supply fulfillment rate	Dmnl
\(Wat\_Use\)	Total used water resources	\(m^3\)
\(Wat\_Withd\_Agri\)	Water withdrawal rate by the agricultural sector	\(m^3\)/Year
\(Wat\_Withd\_Dom\)	Water withdrawal rate by the domestic sector	\(m^3\)/Year
\(Wat\_Withd\_Fulf\)	Water withdrawal fulfillment rate	Dmnl
\(Wat\_Withd\_Ind\)	Water withdrawal rate by the industrial sector	\(m^3\)/Year
\(Wat\_Withd\_Max\)	Max possible water withdrawal rate due to available water resources	\(m^3\)/Year
\(x0_{age}\)	Parameter used in the logistic function to estimate age-specific fertility rate	Dmnl
\(Yield_{food}\)	Crop yield by plant-based food including pulses, grains, vegetables and fruits, and other crops	Ton/(Year*ha)
\(Yield\_Exp_{food}\)	Expected crop yield by plant-based food including pulses, grains, vegetables and fruits, and other crops	Ton/(Year*ha)
\(\delta_{gender,age}\)	The standard deviation of the log-normal distribution function of the income per capita	Dmnl
\(\mu_{gender,age}\)	The mean value of the log-normal distribution function of the income per capita	$/(Person*Year)
\(\varphi_{gender,age}\)	Ratio of life expectancy to life expectancy at birth by gender and age cohort	Dmnl
\(\varphi\_K_{skill}\)	Ratio of capital allocated to the labor force, by skills	Dmnl
\(\varphi\_Tech_{skill}\)	Ratio of technology allocated to the labor force, by skills	Dmnl