Fertility Rate Simulator: TFR, Replacement Level & Demographic Drivers

simulator beginner ~8 min
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TFR = 2.4 — slightly above replacement

With desired family size of 2.5, 60% contraception prevalence, 8 years female education, and 30‰ child mortality, the estimated TFR is 2.4 — slightly above the replacement level of 2.16.

Formula

TFR = Σ ASFR(x) — sum of age-specific fertility rates
NRR = TFR × (fraction female) × survival to reproduction
Replacement TFR ≈ 2.1 / (1 - child mortality rate)

The Fertility Revolution

The most consequential demographic change in human history is the global fertility transition — from an average of 5-7 children per woman throughout most of history to fewer than 2.5 today. This transformation, which began in France and the United States in the late 18th century and is now nearly universal, has reshaped every aspect of society: family structure, women's roles, economic development, urbanization, and the age composition of entire nations.

Proximate Determinants

John Bongaarts' 1978 framework identifies the biological and behavioral channels through which social factors affect fertility: marriage patterns, contraceptive use, induced abortion, and postpartum infecundability (breastfeeding). All socioeconomic influences on fertility — education, income, urbanization, culture — operate through these proximate determinants. Contraceptive prevalence is the single strongest proximate determinant in the modern era, explaining most of the variance in TFR across countries.

Education: The Master Variable

Female education is the most consistent predictor of fertility decline across time, culture, and geography. Each additional year of schooling reduces fertility by approximately 0.1-0.3 children. Education delays marriage, improves contraceptive knowledge, increases women's labor force participation (raising the opportunity cost of childbearing), and shifts preferences toward quality over quantity of children. Demographers call education the 'master variable' of fertility transition.

Below Replacement: The New Normal

Half the world's population now lives in countries with below-replacement fertility. South Korea's TFR of 0.72 (2023) — the lowest ever recorded for a nation — implies a halving of each generation. This ultra-low fertility, driven by extreme housing costs, work culture, and gender inequality, creates unprecedented demographic challenges: shrinking workforces, unsustainable pension systems, and potential economic stagnation. Whether pro-natalist policies can reverse these trends remains one of demography's most urgent questions.

FAQ

What is the total fertility rate (TFR)?

TFR is the average number of children a woman would bear over her lifetime if she experienced the current age-specific fertility rates at each age. A TFR of 2.1 is approximately replacement level in developed countries — each generation exactly replaces itself. The global TFR has fallen from 5.0 in 1960 to approximately 2.3 in 2025.

Why is replacement fertility 2.1 and not 2.0?

Replacement requires exactly two surviving children per woman (one to replace each parent). The extra 0.1 accounts for child mortality (some children die before reproducing) and the slight male-to-female birth ratio (about 105 boys per 100 girls). In countries with higher child mortality, replacement TFR can be 2.5 or higher.

What drives fertility decline?

Four interconnected factors drive the global fertility transition: (1) declining child mortality removes the need for 'insurance births,' (2) female education raises the opportunity cost of childbearing, (3) contraceptive access enables women to match actual to desired family size, and (4) urbanization shifts children from economic assets (farm labor) to economic costs (education, housing).

What happens when TFR drops below replacement?

Below-replacement fertility leads to population aging and eventually decline if sustained. The lag between TFR decline and population decline can be 40-50 years due to population momentum — large cohorts born during high-fertility years continue bearing children. South Korea (TFR 0.72 in 2023) and Japan (1.20) face population halving within 50-80 years without immigration.

Sources

Embed

<iframe src="https://homo-deus.com/lab/demography/fertility-rate/embed" width="100%" height="400" frameborder="0"></iframe>
View source on GitHub