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Technical appendix:<br />

explanatory note for projections exercise<br />

This technical appendix summarizes the two projection models<br />

discussed in chapter 4.<br />

Lutz and KC (2013) Model for demography,<br />

education and human development<br />

The Lutz and KC (2013) Model is used to project demographic<br />

trends through to 2050. It is based on the premise that trends in<br />

population growth are affected by improvements in education<br />

quality and quantity. This Report employs a dataset covering<br />

120 countries, with their populations disaggregated by age, sex<br />

and education level.<br />

Lutz and KC’s multistate population modelling approach<br />

was developed in the 1970s at the International Institute<br />

for Applied Systems Analysis in Austria and is well accepted<br />

among technical demographers. The idea behind the projection<br />

is straightforward: with a baseline year of 2000 (the latest year<br />

for which internationally comparable data are available for<br />

most countries) and assuming that education level remains<br />

invariant after a certain age, the proportion of women ages<br />

50–54 without any formal education in 2005 can be derived<br />

directly from the proportion of women ages 45–49 without any<br />

formal education in 2000.<br />

Given that the size of a birth cohort as it ages over time can<br />

change only through mortality and migration, these proportions<br />

would be constant only if no individual moved up to the<br />

primary education category after age 15 and if mortality and<br />

migration did not differ by education level. However, strong<br />

links exist between education level and mortality, fertility<br />

and migration behaviour, so the approach must be adjusted<br />

to correct for these effects. The size of a birth cohort depends<br />

on the education level of women of childbearing age, where a<br />

negative relationship is traditionally observed. In projecting<br />

these cohorts forward, differential survival rates, based on a<br />

comprehensive literature review and modelling exercises using<br />

past data, are applied to the education groups.<br />

In reality, the likelihood of an individual transitioning from<br />

one education level to the next highest strongly depends on<br />

the education level of his or her parents. But this educational<br />

inheritance mechanism is not explicitly modelled here. Instead,<br />

assumptions regarding transition rates and their future development<br />

are statistically derived from the aggregate behaviour<br />

of education systems in the past. Since this expansion is partly<br />

the result of the inheritance mechanism—the fact that many<br />

parents desire that their children reach an education level at<br />

least as high as their own—inheritance is implicitly reflected<br />

in the projection, even though it is not formally part of the<br />

model. Such an approach appears preferable because data on<br />

the aggregate growth patterns of education systems, on which<br />

assumptions for the future can be based, are much more readily<br />

available than robust data on the microprocess of educational<br />

inheritance.<br />

The procedure for each country can be summarized as<br />

follows:<br />

• A baseline population distribution by five-year age group<br />

cohorts, sex and education level is derived for 2000.<br />

• For each five-year time step, cohorts move to the next fiveyear<br />

age group.<br />

• Mortality rates specific to each age cohort, sex and education<br />

group and to each period are applied.<br />

• Age- and sex-specific education transition rates are applied.<br />

• Age-, sex- and education-specific net migrants are added to or<br />

removed from the population. In the projections presented<br />

here the migration assumptions correspond to those used in<br />

the UN population projections.<br />

• Fertility rates, specific to each age, sex and education group<br />

and to each period, are applied to determine the size of the<br />

new 0–5 age group.<br />

• The new population distribution by age, sex and education<br />

level is noted, and the above steps are repeated for the next<br />

five-year time step.<br />

The projection aims to yield a dataset with the population<br />

distributed by five-year age groups (from ages 15–20 to ages 100<br />

and older), by sex, and by four education levels over 50 years<br />

from 2000 (the base year) to 2050 in five-year intervals.<br />

Pardee Center for International Futures<br />

(2013) Model for prospects of human<br />

development and policy scenarios<br />

This Report uses the International Futures Model for long-term<br />

human development projections based on closely interacting<br />

policy-related issues, including income, health, education, poverty,<br />

gender, social change (instability and risk) and environmental<br />

sustainability. For more detailed information on how<br />

the model was developed, see Pardee Center for International<br />

Futures (2013) and the University of Denver Korbel School<br />

website (www.ifs.du.edu/introduction).<br />

The International Futures Model is a large-scale, long-term,<br />

integrated global modelling system that incorporates demographic,<br />

economic, education, health, energy, agricultural,<br />

sociopolitical, infrastructural, technological and environmental<br />

submodels for 183 countries interacting in the global system.<br />

The model was used in the 2011 Human <strong>Development</strong> Report<br />

to project long-term environmental trend scenarios and evaluate<br />

their impact on human development.<br />

200 | HUMAN DevELoPMENt REPort 2013

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