Plate vii in print

The Multitude

population and growth; the demographic transition, and whether more people mean more mouths or more minds.

The number tells us how many lives there are to sustain; it does not tell us how much those lives will be allowed to make possible.

— the argument of this plate, after the Population plan, the earlier Takeoff, and the population–growth debate

A person enters the economy as someone to sustain, becomes someone who can sustain others, and may discover a way for all of them to live better. These possibilities belong to the same life, but they arrive at different times and require different things. Food must be available now; education takes years; invention needs knowledge, opportunity, and a way to put a discovery to use. The old argument over population compresses this sequence into a contest between mouths and minds. The earlier Takeoff traced the demographic transition, while the separate Population plan held its two sides together. To develop that question, we must distinguish the size of a people from the circumstances in which its members grow up, work, and grow old. A larger nation can produce more while leaving less for each person.

The pressure of numbers is clearest when a resource cannot expand with the people using it. More workers on the same land may raise the harvest without raising it in proportion to their number. Consider an invented village of one hundred people producing a thousand units of food. If its population rises to one hundred and twenty and its harvest to eleven hundred, total production grows while food per person falls from ten units to about nine and a sixth. If improved cultivation instead raises the harvest to thirteen hundred and twenty, food per person reaches eleven. Neither outcome follows from the head count alone. The Malthusian mechanism adds a further response: greater abundance encourages population growth, whose pressure on a fixed resource can absorb the gain. Its force depends on fertility, mortality, production, and the pace at which knowledge changes what the land can yield.1

1. The village is invented: 1,000/100 = 10; 1,100/120 ≈ 9.17; 1,320/120 = 11. Harvests are stipulated alternatives, not estimates or a fitted production function. The example assumes food is the relevant product and compares averages, without determining its distribution. For the Malthusian mechanism, see Galor and Weil, linked in note 2, introduction, pp. 2–5.

The demographic transition changes the connection between prosperity and population. In its familiar sequence, death rates fall before birth rates fall enough to close the gap, so the population grows more rapidly for a time. A later movement toward smaller families slows that growth. The timing and causes vary: the opportunity to educate children, the survival of those already born, and the choices available to parents all matter. Galor and Weil give one economic explanation particular precision. In their model, technological change raises the return to education, encouraging parents to devote more resources to each child and eventually to have fewer children. This is a proposed mechanism, with stated assumptions, rather than an instruction that every country must repeat Europe's path. A country able to import health measures and existing technologies faces a different sequence from one developing them for the first time.2

2. Oded Galor and David N. Weil, Population, Technology, and Growth, Brown working paper, revision of October 19, 1999, introduction pp. 1–9 and concluding remarks pp. 28–30. This is the retained prepublication version of the later AER article. Its conclusion expressly limits direct application to contemporary developing countries.
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The age balance creates an opportunity that a total population figure conceals. Imagine another invented population of one hundred, with sixty people of working age and forty outside it. If all sixty are employed and each produces ten units, output per resident is six. A later population of the same size with seventy working-age people could produce seven units per resident at unchanged productivity. That is the arithmetic behind a demographic dividend. Yet if only sixty find work, the extra potential workers leave measured output per resident at six. The favorable age structure has opened a possibility; employment, health, and skills determine how much becomes production. The calculation also leaves out unpaid care and assumes equal output from every worker. It cannot tell us that those outside its designated working ages contribute nothing, or that those inside them have identical capacities and needs.3

3. Invented comparisons: 60 × 10/100 = 6; 70 × 10/100 = 7, a rise of 16⅔ percent; with only 60 employed, the ratio remains 6. UN DESA's Policy Brief 161 (August 2024), pp. 1–4, explains the temporary opportunity and the complementary investment and employment policies. Its projections are not inputs to this illustration.

The case for more minds begins with a different property of production: an idea can serve people who did not invent it. A useful method learned by one workshop can be learned by another without the first forgetting it. Under conditions that preserve each person's opportunity to discover, a larger population supplies more potential discoverers, and their discoveries can benefit the whole. Michael Kremer made this possibility explicit in a model connecting population and technological change over very long periods. The connection is conditional. It requires assumptions about research productivity and the diffusion of knowledge; it does not say that every larger country must be richer. A small country can use ideas developed elsewhere. The relevant circle of minds may extend far beyond the boundary within which a census counts them.4

4. Michael Kremer, Population Growth and Technological Change: One Million B.C. to 1990 (1993), pp. 681–689, especially the diffusion qualification at p. 686. The link leads to a university-hosted copy of the published article. Its model distinguishes a world or technologically connected population from an individual country's head count.

The promise of additional inventors therefore depends on what happens to the additional people. Someone kept from learning, unable to obtain tools, or excluded from a profession does not enjoy the opportunity assumed by the simplest model. More people can also require more housing, water, and energy before any new discovery eases the pressure. Kremer explicitly cautioned against treating his analysis as a call for a larger population: the model omitted exhaustible resources and an ultimate technological limit. Conversely, an aging population calls for adjustments in care, work, and provision for later life, without fixing in advance the productivity of everyone who remains. The economic question is how capabilities and obligations change together. Neither a swelling generation nor a shrinking one supplies its own institutions for meeting those changes.5

5. Kremer, conclusion, pp. 712–714, particularly p. 713 on model omissions and policy limits. UN DESA, Policy Brief 161, pp. 3–4, addresses education, productive employment, care, social protection, and reproductive choice. These are conditions to investigate; the essay makes no forecast of a particular country's population or growth rate.

A population policy judged only by the number it produces has misplaced the people whose lives give the number its meaning. The point of feeding children, widening access to learning, and making work possible survives whether the resulting generation is larger or smaller. So does the importance of allowing people to decide whether and when to have children. Aggregate output can rise while gains bypass the households doing the raising; income per head can rise while care becomes harder to obtain. The proper inquiry follows those consequences as well as the average. More people bring needs and possibilities together. Whether a society meets the needs and releases the possibilities depends on the arrangements through which its members share resources, acquire knowledge, and find room to use it.