Gross Reproduction Rate
Also known as: GRR, Gross reproductive rate, Daughters per woman (without mortality), Brüt Üreme Hızı
The gross reproduction rate is the average number of daughters a woman would bear over her lifetime if she experienced a given set of age-specific fertility rates and survived through all her childbearing years. It is a single-sex reproduction measure: by counting only daughters, it tracks how a generation of women replaces itself, ignoring the mortality that would thin the next generation. As such it sits between the total fertility rate, which counts all children, and the net reproduction rate, which discounts daughters for the chance of dying before they themselves reproduce.
Key highlights
- Expresses fertility in the single-sex terms needed for replacement and stable-population analysis, focusing on the female line.
- Simple and transparent: it is the total fertility rate scaled by the female share of births, so it is easy to compute and interpret.
- Provides the natural upper benchmark against which the net reproduction rate measures the cost of mortality.
- Comparable across populations because it does not depend on the current age structure, only on age-specific rates.
Intuition
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How it works
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When to use it
Use the gross reproduction rate when you want a single-sex summary of fertility expressed in daughters — for instance to compare reproductive intensity across populations or over time in a way that connects directly to replacement and to the net reproduction rate. It is the natural intermediate quantity when building toward replacement-level analysis and stable-population reasoning. It assumes the age-specific rates describe a synthetic cohort and, by construction, ignores mortality, so it overstates true generational replacement and should not be read as a replacement measure on its own. When the question is whether a population is replacing itself, the net reproduction rate is the correct measure because the gross rate omits the survival of daughters to reproductive age; the gross rate is also period-based and therefore subject to the same tempo distortions as the total fertility rate.
Strengths & limitations
- Expresses fertility in the single-sex terms needed for replacement and stable-population analysis, focusing on the female line.
- Simple and transparent: it is the total fertility rate scaled by the female share of births, so it is easy to compute and interpret.
- Provides the natural upper benchmark against which the net reproduction rate measures the cost of mortality.
- Comparable across populations because it does not depend on the current age structure, only on age-specific rates.
- Ignores mortality entirely, so it overstates how many daughters actually survive to continue the female line.
- Carries no information beyond the total fertility rate and the sex ratio at birth, so it is redundant where both are already reported.
- As a period measure built from a synthetic cohort, it is distorted by tempo effects when the timing of childbearing shifts.
- Says nothing about replacement on its own; only the net reproduction rate answers whether a generation replaces itself.
Common pitfalls
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Applications
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Frequently asked
What is the difference between the gross and net reproduction rates?
Both count daughters per woman, but the gross reproduction rate assumes the woman survives through all her childbearing years, while the net reproduction rate weights each age's daughter-bearing rate by the probability that a daughter survives to that age. The net rate is therefore always at or below the gross rate, and the difference is exactly the effect of mortality on the next generation of potential mothers. Only the net rate measures true replacement.
Why is the gross reproduction rate roughly half the total fertility rate?
The gross reproduction rate counts only daughters, and daughters make up about 48.8 percent of births because the sex ratio at birth slightly favors boys (around 105 boys per 100 girls). Multiplying the total fertility rate by that female share gives the gross reproduction rate, so it is a little under half the total fertility rate. The exact factor depends on the population's actual sex ratio at birth.
Does a gross reproduction rate of one mean the population is replacing itself?
No. Replacement requires that each woman be replaced by one surviving daughter who herself reaches childbearing age, which is the condition that the net reproduction rate equals one. Because some daughters die before reproducing, the gross reproduction rate must exceed one for replacement; how much higher depends on mortality. A gross rate of one with any mortality implies below-replacement reproduction.
Sources
- 1.Preston, S. H., Heuveline, P., & Guillot, M. (2001). Demography: Measuring and Modeling Population Processes. Blackwell.ISBN 9781557864512
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ScholarGate. (2026, June 22). Gross Reproduction Rate. ScholarGate. https://scholargate.app/demography/gross-reproduction-rate