Population

(© Best - stock.adobe.com)

In a nutshell

  • Families need at least 2.7 children to avoid extinction—far higher than the conventional 2.1 replacement level fertility rate due to random variations in offspring numbers.
  • With fertility rates below this threshold in all developed countries (like Japan’s 1.30 and America’s 1.66), virtually all family lineages are mathematically destined to disappear within a few generations.
  • Female-biased births appear to be nature’s survival strategy—having more daughters than sons reduces extinction risk, which may explain why stress conditions often lead to more female births across many mammal species.

SHIZUOKA, Japan — Most developed countries are barreling toward a demographic cliff. And it’s worse than we thought. New research published today in PLOS ONE reveals that the long-accepted “replacement level” of 2.1 children per woman isn’t nearly enough to prevent human extinction.

The alarming study shows that families actually need at least 2.7 children to avoid dying out completely—and with most developed countries falling far below this number, researchers suggest nearly all family bloodlines are on track to vanish.

This finding torpedoes decades of population planning wisdom. For years, experts assured us that having just over two kids per family would keep population levels steady. But researchers from Japan and the Philippines have shown this calculation misses something big: the role of random chance in family formation.

The Math Behind Family Extinction

“The developed countries now face a low fertility crisis,” the authors write. “The conventional replacement level fertility of 2.1 children per woman doesn’t account for random variations in individual offspring numbers.”

Some women have no children, while others have many. This natural variation means that, mathematically speaking, every family needs more children on average to beat the odds of extinction.

World population surrounding the planet
In order for humans to avoid extinction, families should have at least three children, researchers now say. (© Ruchaneek – stock.adobe.com)

For all G7 nations—including Italy (1.29 children per woman), Japan (1.30), Canada (1.47), and the United States (1.66)—fertility rates have already crashed below not just the new threshold but even the old one. South Korea is in even worse shape with a rate of just 0.87.

What does this mean for you? Your family name, genetic heritage, and lineage will probably disappear within a few generations.

The research team used what’s called a “branching process model” to track what happens to family trees over generations. They started with a single woman and calculated how likely her descendants were to continue or die out based on different fertility rates and male-female ratios.

With an even male-female ratio and no excess deaths, they found families need about 2.7 children per woman—far higher than the standard 2.1 figure. Below this threshold, extinction becomes mathematically inevitable for most lineages.

Female Babies: Nature’s Survival Strategy

The study uncovered one factor that could help families beat the extinction odds: having more female babies than male ones. A female-biased sex ratio lowered the critical fertility threshold needed for survival.

Human parents experiencing stress—from psychological distress to economic hardship to natural disasters—tend to have more female babies. The normal human sex ratio of 1.057 males per female shifts toward females under pressure.

“We argue that the present results explain the observed phenomena of female-biased births under severe conditions as an effective way to avoid extinction,” the authors note.

This pattern appears in other mammals too, including cattle, pigs, rats, and mice under stress. According to the researchers, this represents a biological adaptation for family survival when times get tough.

The Bleak Future for Family Lines

The study also examined how death rates affect the extinction threshold. Higher mortality pushes the required fertility rate even higher. In regions with particularly high death rates like Afghanistan, Burundi, and Sierra Leone, previous research has estimated a replacement rate of 3.3 would be needed—and this new study confirms that’s likely an undercount.

While the worldwide human population isn’t facing immediate collapse due to sheer numbers, the outlook for individual families is bleak. Nearly all family lineages in developed countries are mathematically doomed. Only an extraordinarily lucky few will beat the odds and continue for many generations.

This reality highlights the serious demographic challenges facing wealthy nations. The population crisis isn’t just about economic problems or pension systems—it represents the coming extinction of countless family lines and potentially entire cultural traditions.

Paper Summary

Methodology

The researchers used a branching process model to investigate extinction probability in a sexually reproducing population with non-overlapping generations. They introduced four key parameters: fertility rate (the average number of offspring per female, following a Poisson distribution), sex ratio (the proportion of male to female offspring, following a binomial distribution), and male and female mortality rates. Starting with a single female, they calculated the probability that her lineage would eventually go extinct under various parameter combinations. They performed both analytical calculations and numerical simulations with 10,000 replications using Python.

Results

The study found that for a population with an even sex ratio (0.5) and no mortality, the critical fertility rate needed to avoid certain extinction is approximately 2.7 children per woman—significantly higher than the conventional replacement level fertility of 2.1. Below this threshold, extinction becomes mathematically certain, though some exceptional lineages may persist through sheer luck. The extinction threshold decreases with a female-biased sex ratio, suggesting this represents an adaptive advantage under stressful conditions. When simulating populations with subcritical fertility rates, the vast majority went extinct within five generations, with extinction approaching certainty over time.

Limitations

The researchers acknowledge several simplifying assumptions in their model. Most notably, they used non-overlapping generations, which doesn’t reflect the reality of human populations where multiple generations coexist and reproduce simultaneously. They also used a Poisson distribution for offspring numbers and didn’t account for density dependence, migration, or environmental stochasticity. The study focused specifically on demographic stochasticity (random variations in individual reproduction) rather than other factors that might influence population dynamics.

Funding and Disclosures

The research was funded by Japan Society for the Promotion of Science (JSPS) KAKENHI grants (numbers 23KK0210, 21H01575, 21K21115, 21K03387, and 21K12047). The funders had no role in study design, data collection and analysis, decision to publish, or preparation of the manuscript. The authors declared no competing interests.

Publication Information

The paper titled “Threshold fertility for the avoidance of extinction under critical conditions” was published in PLOS ONE on April 30, 2025. It was authored by Diane Carmeliza N. Cuaresma, Hiromu Ito, Hiroaki Arima, Jin Yoshimura, Satoru Morita, and Takuya Okabe, representing institutions in Japan and the Philippines. The paper is available as an open access article under the Creative Commons Attribution License, with all code available on GitHub at https://github.com/dncuaresma213/threshold-fertility.git.

About StudyFinds Staff

StudyFinds sets out to find new research that speaks to mass audiences — without all the scientific jargon. The stories we publish are digestible, summarized versions of research that are intended to inform the reader as well as stir civil, educated debate. StudyFinds Staff articles are AI assisted, but always thoroughly reviewed and edited by a Study Finds staff member. Read our AI Policy for more information.

Our Editorial Process

StudyFinds publishes digestible, agenda-free, transparent research summaries that are intended to inform the reader as well as stir civil, educated debate. We do not agree nor disagree with any of the studies we post, rather, we encourage our readers to debate the veracity of the findings themselves. All articles published on StudyFinds are vetted by our editors prior to publication and include links back to the source or corresponding journal article, if possible.

Our Editorial Team

Steve Fink

Editor-in-Chief

Sophia Naughton

Associate Editor

Leave a Reply