Population Geography I: Sources of Data, World Distribution and Growth, the Demographic Transition, and the Theories of Malthus, Sadler and Ricardo
2. World population distribution: measures, patterns and determinants
| Measure | Definition | What it reveals |
|---|---|---|
| Arithmetic density | Total population ÷ total area | A crude average that hides empty deserts and crowded valleys |
| Physiological density | Total population ÷ arable (cultivated) land | Pressure on the land that feeds people; very high in Egypt, where people crowd the Nile valley |
| Agricultural density | Agricultural population ÷ arable land | How many farmers work each unit of farmland — high in less mechanised economies |
| Man–land ratio and concentration indices | Lorenz curve, index of concentration, centre of population | How unevenly people are spread across units |
World population passed 8 billion in November 2022 by the UN's estimate, and in 2023 India overtook China as the most populous country. The distribution is strikingly uneven: about nine-tenths of humanity lives in the Northern Hemisphere, and three great concentrations — East Asia, South Asia and Europe — together with a smaller one in north-eastern North America hold most of it, while deserts, high mountains, the boreal forest, the tundra and the equatorial rainforests are sparsely peopled. The determinants are physical (relief and altitude, climate, water, soil fertility), economic (agricultural productivity, minerals, industrialisation, urbanisation and transport), social and political (culture, policy, conflict) and historical — the long agrarian settlement of the great river valleys of Asia explains densities that modern economics alone would not predict. Geographers read these densities alongside the concept of ecumene (permanently inhabited land) and anecumene (uninhabited land).
3. World population growth and the demographic transition
For most of human history growth was almost nil. When agriculture began some 10,000 years ago the world held perhaps 5 to 10 million people; by the start of the Common Era, perhaps 250 to 300 million. The first billion was reached only around 1804; then the intervals shrank — 2 billion in 1927, 3 billion in 1960, 4 billion in 1974, 5 billion in 1987, 6 billion in 1999, 7 billion in 2011 and 8 billion in 2022. The annual growth rate peaked at a little over 2 per cent in the late 1960s and has since roughly halved. Growth at a constant rate is exponential, Pt = P0 × e^(rt), and the doubling time is approximately 70 ÷ r (the "rule of 70", with r in per cent): at 2 per cent a population doubles in about 35 years, at 1 per cent in about 70.
The demographic transition model, sketched by Warren Thompson (1929) and formalised by Frank Notestein (1945), generalises the European experience of moving from high to low birth and death rates.
| Stage | Birth rate | Death rate | Growth and examples |
|---|---|---|---|
| 1 High stationary | High | High, fluctuating | Slow; pre-industrial societies |
| 2 Early expanding | High | Falling fast | Rapid — the population explosion; many least developed countries |
| 3 Late expanding | Falling | Low and still falling | Slowing; India and much of Latin America |
| 4 Low stationary | Low | Low | Near zero; most developed countries |
| 5 Declining (added later) | Below the death rate | Low, rising with ageing | Negative; Japan, Italy, parts of eastern Europe |
4. Theories of population growth: Malthus, Sadler and Ricardo
Thomas Robert Malthus, An Essay on the Principle of Population (1798, much revised in 1803), argued that population, when unchecked, increases in a geometric ratio (1, 2, 4, 8, 16) while subsistence increases at most in an arithmetic ratio (1, 2, 3, 4, 5). Population is therefore held down by checks. Positive checks raise the death rate — famine, disease, war, misery. Preventive checks lower the birth rate — above all moral restraint, meaning the postponement of marriage with chastity before it, which Malthus stressed in the second edition; he also recognised "vice". Critics point out that he underestimated technological change in agriculture and the voluntary fall of fertility that came with prosperity; neo-Malthusians — Paul Ehrlich's The Population Bomb (1968), the Club of Rome's The Limits to Growth (1972) — revived his argument in terms of resources and environment, and Ester Boserup (1965) inverted it, arguing that population pressure is what drives agricultural intensification.
Michael Thomas Sadler — the document names him correctly — was a Tory social reformer and one of Malthus's fiercest contemporary critics. In The Law of Population (1830) he argued that human fecundity is not constant but varies inversely with density: as population becomes denser on a given area and society more prosperous and civilised, fertility falls of its own accord, so population regulates itself without Malthus's misery. Thomas Doubleday (1841) made a related, nutrition-based claim — that well-fed populations are less fertile. David Ricardo approached population through economics. In On the Principles of Political Economy and Taxation (1817) he joined Malthusian population growth to the law of diminishing returns in agriculture: as population grows, cultivation extends to less fertile land, food costs more and rent rises. Wages gravitate towards a subsistence level — the idea later called the iron law of wages — because if wages rise above subsistence, the labouring population increases, the supply of labour grows and wages fall back; if they fall below it, population shrinks until wages recover.
| Thinker | Key work | Core claim |
|---|---|---|
| Malthus | An Essay on the Principle of Population (1798) | Geometric population against arithmetic food; positive and preventive checks |
| Sadler | The Law of Population (1830) | Fertility varies inversely with density and prosperity; population is self-regulating |
| Ricardo | Principles of Political Economy and Taxation (1817) | Diminishing returns raise rent; wages tend to subsistence through population response |
| Marx (for contrast) | Capital (1867) | No universal law of population; "surplus population" is a reserve army of labour created by capitalism |
| Optimum population theorists | Cannan, Robbins, Carr-Saunders | The size at which output per head is maximised, given resources and technology |
Key takeaways
- Census (de facto or de jure; India synchronous since 1881), sample surveys (NSS, NFHS) and vital registration (CRS, SRS) are the sources; coverage and content errors — age heaping measured by Whipple's and Myers' indices — limit reliability.
- Arithmetic density uses total area, physiological density arable land, agricultural density farm population on arable land; nine-tenths of people live in the Northern Hemisphere, concentrated in East Asia, South Asia and Europe.
- One billion around 1804, eight billion in 2022; growth peaked just above 2 per cent in the late 1960s; doubling time ≈ 70 ÷ r.
- Demographic transition (Thompson, Notestein): high stationary, early expanding (death rate falls), late expanding (birth rate falls), low stationary, and a later-added declining stage; faster and steeper in developing countries.
- Malthus: geometric against arithmetic growth, positive and preventive checks; Sadler: fertility inversely related to density; Ricardo: diminishing returns, rising rent and subsistence wages.
Practice questions (10)
Attempt each one before opening the answer. Every explanation names the tempting wrong option as well as the right one, because that is where marks are lost.
Physiological density is defined as:
Show answer
Answer: C — Total population divided by the area of arable land
Physiological density relates the whole population to the land that can be cultivated, and so measures pressure on productive land. Total area gives arithmetic density; agricultural population on arable land gives agricultural density.The first synchronous census of India was conducted in:
Show answer
Answer: D — 1881
The 1872 census was taken at different times in different regions; 1881 was the first taken synchronously across British India, and censuses have followed every ten years since. 1951 was the first after independence.Using the rule of 70, in how many years will a population growing at 2 per cent a year double? Type a number.
Numerical answer — type the value.
Show answer
Answer: 35
Doubling time ≈ 70 ÷ r = 70 ÷ 2 = 35 years. The rule comes from ln 2 ≈ 0.693 in the exponential growth formula Pt = P0 e^(rt).In the second (early expanding) stage of the demographic transition:
Show answer
Answer: B — The death rate falls sharply while the birth rate stays high, so growth is rapid
Stage 2 is the population explosion: improved food supply, sanitation and medicine cut mortality while fertility is still governed by traditional norms. High rates for both describe stage 1, low rates for both stage 4, and births below deaths the declining stage.Which of the following did Malthus classify as a preventive check?
Show answer
Answer: A — Moral restraint through postponement of marriage
Preventive checks reduce births; moral restraint — delayed marriage with chastity before it — is the one Malthus emphasised. Famine, disease and war are positive checks, which operate by raising deaths.Michael Thomas Sadler's answer to Malthus in The Law of Population (1830) was that:
Show answer
Answer: D — Human fertility varies inversely with the density of population
Sadler held that as a population grows denser and more prosperous its fecundity declines, so it regulates itself without misery. The subsistence-wage idea is Ricardo's, and surplus population as a product of capitalism is Marx's.In Ricardo's analysis, population growth leads to rising rent because:
Show answer
Answer: C — Cultivation extends to less fertile land under diminishing returns
As more food is needed, poorer land is brought under the plough; the better land then earns a surplus over the marginal land, which is Ricardian differential rent. Falling fertility with density is Sadler's argument, and moral restraint is Malthus's.Which of the following are content errors rather than coverage errors in census data? Select all that apply.
Show answer
Answer: B — Heaping of reported ages on numbers ending in 0 and 5; D — Misclassification of a worker's occupation
Content errors are wrong information about people who were counted, such as misreported ages and occupations. Missing the homeless (under-enumeration) and double-counting migrants are coverage errors — errors in who was counted.Assertion (A): Death rates in many developing countries fell far faster after 1945 than they had in nineteenth-century Europe. Reason (R): Vaccines, antibiotics, insecticides and public-health methods were imported ready-made rather than developed locally over a long period. Choose the correct option.
Show answer
Answer: A — Both A and R are true, and R is the correct explanation of A
Both are true and R explains A. Imported mortality-reducing technology cut death rates within decades, independently of economic development — which is also why the demographic transition in those countries produced faster growth than Europe's.Whipple's index is used in population geography to measure:
Show answer
Answer: A — Preference for reporting ages ending in 0 or 5
Whipple's index compares the number of people reporting ages ending in 0 or 5 (usually between 23 and 62) with the number expected; 100 means no heaping and 500 means every such age ends in 0 or 5. It is a check on the accuracy of age data.