Research · Conceptual framework · Europe

Beyond 2.1Effective replacement fertility and the erosion of Europe’s reproductive core

For seven decades, one number has dominated demographic thinking: 2.1 children per woman. The Institute asks a question the European debate has not yet asked openly: is 2.1 still an adequate reference point for societies in which a significant and growing share of the population never becomes a parent?

Authorship
Founder and Co-founder of the Institute for Demographic Future
Version
1.0 · June 2026
Type
Original conceptual framework · research document
2.1
Classical replacement fertility
Lotka, Notestein, 1945
2.80
Effective RF for Italy
Institute proposal · at p ≈ 25%
20–30%
Women who will not become mothers
Developed European countries, 1975 cohort
1.5
Italy’s real distance from replacement
According to the ERF formula · not 0.9
01 · The question Europe has not yet asked

One number has governed demographic thinking for 70 years. It may no longer be enough.

European demographic policy, Eurostat projections and annual ageing reviews all measure the distance between the observed fertility rate and 2.1.

The Institute for Demographic Future opens a question that the European debate has not yet addressed with full seriousness: is 2.1 still what we think it is? Not because the mathematics has changed. The mathematics is the same as it was in 1945. What has changed is the society on which that mathematics operates.

The figure 2.1 implicitly assumes that almost all women — and men — in a population become parents at some point in their lives. That assumption was empirically defensible in mid-20th-century societies. It is no longer empirically defensible in European societies in the second quarter of the 21st century.

If this hypothesis is correct, the implications for European demographic policy are far-reaching. Slovenia’s distance from replacement fertility may not be 0.58, but considerably larger. Italy’s distance may not be 0.9, but considerably larger. The same logic applies across Europe.

02 · Historical origin of 2.1

From Pearson and Lotka to Notestein: mathematics for a world that no longer exists.

The number originates in stable population theory, developed by Karl Pearson and Alfred James Lotka and formalised by Frank Notestein within the Princeton demographic school in 1945. A fertility rate of 2.0 would be sufficient in purely mathematical terms; the additional 0.1 compensates for the sex ratio at birth and mortality before reproductive age.

The key issue: the concept assumes that reproductive participation is close to universal. Variation lies mainly in how many children people have, not in whether they become parents at all. This was broadly true for the 1940 cohort. It is no longer true for the 1975 cohort.

In several developed countries, the share of permanently childless women in the 1975 cohort has moved from a marginal phenomenon into a structural one. This changes the meaning of replacement fertility.

03 · Birthgap

Mothers still have roughly the same number of children. Something else has changed.

Stephen J. Shaw’s Birthgap — Childless World highlights one of the most striking empirical observations in contemporary demography: in several developed low-fertility countries, the average number of children among women who become mothers has remained close to 2.3–2.4.

The decline in the total fertility rate therefore does not primarily come from smaller families. It comes from a growing share of people who never become parents.

This reframes the European fertility debate. The core issue is not only how many children parents have, but how large the reproductive core of society remains.

04 · Proposed conceptual framework

Effective replacement fertility.

The fertility level that would have to be reached by those members of a population who actually become parents for the population as a whole to reach replacement.

ERF = 2.1 / (1 − p)
where p is the share of women in a cohort who remain permanently childless

If 20% of women in a cohort never give birth, the remaining 80% must have 2.625 children on average for the population as a whole to reach replacement. At 30% childlessness, the required level is 3.0 children per mother. At 40%, it is 3.5.

Recalibrating the distances

For Italy, where permanent childlessness is close to 25% in relevant cohorts, the effective replacement level is not 2.1 but around 2.8. For Slovenia, with estimated levels closer to 12–15%, the effective replacement level would be roughly 2.4–2.5.

05 · Empirical framework

Childlessness is not only a women’s issue. In most European countries, the share is higher among men.

An important but often overlooked pattern is that the share of men reaching ages 45–49 without children is higher than the share among women of the same cohort. The difference is often between 5 and 13 percentage points.

Share childless (p)ERFEmpirical comparison
0%2.10Lotka–Notestein idealised world
15%2.47Slovenia, France
20%2.63EU 1975 cohort average
25%2.80Italy, Austria, Germany
30%3.00Mediterranean Europe scenario
35%3.23Hong Kong
06 · Four scenarios for Europe 2050

A structured thought experiment — not a forecast.

The scenarios below are not predictions. They show what different levels of reproductive-core erosion would imply for Europe’s long-term demographic future.

Scenario A · Stabilisation

Childlessness stabilises around 20%. Population decline continues but does not accelerate dramatically.

Estimated probability · 20–30%

Scenario B · Moderate erosion

Childlessness rises toward 25% in cohorts born after 1985. Mediterranean and Central European demographic decline accelerates.

Estimated probability · 35–45%

Scenario C · Italianisation

Childlessness approaches 30% in cohorts born after 1990. Domestic demographic dynamics can no longer stabilise population decline.

Estimated probability · 20–25%

Scenario D · Polarisation

Society splits into a smaller reproductive core and a larger reproductive margin, increasing pressure on welfare and intergenerational systems.

Estimated probability · 5–10%
07 · Institutional consequences

Four systems calibrated for a different population structure.

If Europe’s effective replacement fertility is not 2.1 but 2.5 to 3.0 children per mother, the consequences are direct: pensions, labour markets, welfare systems and intergenerational solidarity must all be recalibrated.

The erosion of the reproductive core is not the same as population ageing. Ageing is a consequence that is already well measured. Reproductive-core erosion is a cause that remains poorly measured.

08 · Proposal for Eurostat

Reproductive Core Erosion Index (RCEI).

The Institute proposes that Eurostat develop a standardised indicator — the Reproductive Core Erosion Index — tracking three dimensions across EU Member States: the share of the population that never becomes parents, the speed of change across cohorts, and the regional distribution of the reproductive core within countries.

Without measuring the cause, public policy can only describe the consequences. For empirical demographic policy, that is not enough.

09 · Open research questions

This framework opens questions rather than closing them.

  1. What is the actual trend of permanent childlessness in cohorts born after 1985 in each European country?
  2. How does childlessness differ by sex, education and region?
  3. What is the share of unintended childlessness compared with intended childlessness?
  4. What are the strongest empirical risk factors for entering permanent childlessness?
  5. Is Shaw’s hysteresis hypothesis supported by econometric analysis?
  6. How does assisted reproductive medicine affect permanent childlessness?
  7. How do national policies differ in their effect on childlessness, separately from their effect on family size?
  8. What would a European policy look like if it treated childlessness as a distinct policy challenge?
  9. What are the symbolic and institutional consequences of the reproductive core falling below 70%?

“If 2.1 was born in the demographic world of the previous century, what is the replacement fertility of the world we live in today?”

The Institute presents this framework for national and European institutions, parliamentary groups, universities, journalists’ associations and research networks.

info@demografskaprihodnost.si