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Preston curve

Preston curve is a science topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Preston curve rather than just read about it. In short: The Preston curve is an empirical cross-sectional relationship between life expectancy and real per capita income. It is named after Samuel H.

Preston curve — main illustration
Preston curve — illustration

Key takeaways

  • Preston curve belongs to science; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect Preston curve to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of Preston curve from memory before moving on to harder problems.

Reference excerpt

The Preston curve is an empirical cross-sectional relationship between life expectancy and real per capita income. It is named after Samuel H. Preston who first described it in 1975. Preston studied the relationship for the 1900s, 1930s and the 1960s and found it held for each of the three decades. More recent work has updated this research.

The relationship between life expectancy and income The Preston curve indicates that individuals born in richer countries, on average, can expect to live longer than those born in poor countries. However, the link between income and life expectancy flattens out. This means that at low levels of per capita income, further increases in income are associated with large gains in life expectancy, but at high levels of income, increased income has little associated change in life expectancy. In other words, if the relationship is interpreted as being causal, then there are diminishing returns to income in terms of life expectancy.

A further significant finding of Preston's study was that the curve has shifted upwards during the 20th century. This means that life expectancy has increased in most countries, independently of changes in income. Preston credited education, better technology, vaccinations, improved provision of public health services, oral rehydration therapy and better nutrition with these exogenous improvements in health. According to Preston, the independent increases in life expectancy have been greatest in the poor countries, although he also believed that a good portion of the potential gains from better medical technology have not been realized. Several poor countries in Sub-Saharan Africa have actually seen declines in life expectancy in the 1990s and 2000s as a result of the HIV/AIDS epidemic, even if their per capita incomes have increased during this time. Overall Preston found that improvements in health technology (the upward shifts in the curve) accounted for 75% to 90% of the increase in life expectancy, while income growth (movement along the curve) was responsible for the rest. Analysis of more recent data, for example by Michael Spence and Maureen Lewis, suggests that the "fit" of the relationship has become stronger in the decades since Preston's study. Though the source of income growth, rather than growth itself has been shown to be significant, with Ryan Edwards finding divergences from the Preston Curve partially explained by the size of the mining sector (a mining dominated economy). While the relationship between income and life expectancy is log linear on average, any one individual country can lie above or below curve. Those below the curve, such as South Africa or Zimbabwe, have life expectancy levels that are lower than would be predicted based on per capita income alone. Countries above the curve, such as Tajikistan, have life expectancies that are exceptionally high given their level of economic development. In 2000, the USA lay just below the curve, indicating that it had a slightly lower life expectancy than other rich countries. If the relationship is estimated with nonparametric regression then it produces a version of the curve which has a "hinge" – i.e. a kink in the relationship where the slope of the regression equation falls off significantly. This point occurs around the per capita income level of $2,045 (data for the year 2000) which is about the per capita income level of India. This level of income is generally associated with a crossing of a "epidemiological transition", where countries change from having most of their mortality occur due to infant mortality to that due to old age mortality, and from prevalence of infectious diseases to that of chronic diseases.

Implications The fact that the relationship between income and health is concave indicate that a transfer of income from the rich to the poor might increase the average health of a society. This policy prescription will have this effect only if the relationship between income and health is causal – i.e. if higher income causes longer life expectancy (see below). If the relationship is driven by other factors, if it is spurious, or if it is in fact health that leads to higher income, then this policy outcome will no longer be true. The existence of the Preston curve has been used by Lant Pritchett and Larry Summers to argue that poor countries should focus on economic growth, and that health improvements will come about spontaneously as a result of increases in income. According to these authors, in 1990 better economic performance could have prevented more than half a million child deaths worldwide. However, the upward shifts of the Preston curve still imply that the main portion of gains in life expectancy has come about as a result of improved health technology rather than just increases in per capita income. Preston did, however, acknowledge that in the poorest countries economic growth may be necessary for improvements in health, as even the most inexpensive technologies have a cost of adoption that poor countries may not be able to afford. Preston's work has also contributed to the broadening of the definition of economic development. Gary Becker et al. have included longevity in a more general welfare measure and have illustrated that increases in life expectancy have made up a large portion of increases in overall global welfare since the 1960s. In the same work, Becker et al. also found that while cross-country incomes have diverged, the distribution of health has converged.

Criticisms and shortcomings Much of Angus Deaton's The Great Escape: Health, Wealth, and the Origins of Inequality is concerned with thinking about the meaning and implications of the curve.

Lack of longitudinal evidence The Preston curve is a relationship found in cross-country data - that is, it holds for a sample of countries taken at a particular point in time. Some research however suggests that a similar relationship does not hold in time series and longitudinal data within individual countries. In particular, per capita incomes between countries have generally diverged over time, while life expectancies, and other health indicators such as the infant mortality rates, have converged (this trend was interrupted in the 1990s with the outbreak of the AIDS epidemic in Sub-Saharan Africa). This suggests that over time changes in income may have no impact on health or even be negatively related.

… excerpt ends here. Continue reading the full article.

Illustrations

Preston curve: The Preston curve, using cross-country data for 2005. The x-axis shows GDP per capita in 2005 international dollars, the y-axis shows life expectancy at birth. Each dot represents a particular country.
The Preston curve, using cross-country data for 2005. The x-axis shows GDP per capita in 2005 international dollars, the y-axis shows life expectancy at birth. Each dot represents a particular country.
Preston curve: Data points of income per head and life-expectancy of individual countries
Data points of income per head and life-expectancy of individual countries
Preston curve: Improvements in health technology shift the Preston Curve upwards. In panel A, the new technology is equally applicable in all countries regardless of their level of income. In panel B, the new technology has a disproportionately larger effect in rich countries. In panel C, poorer countries benefit more.
Improvements in health technology shift the Preston Curve upwards. In panel A, the new technology is equally applicable in all countries regardless of their level of income. In panel B, the new technology has a disproportionately larger effect in rich countries. In panel C, poorer countries benefit more.

Worked examples

Example 1 — a first encounter with Preston curve

Start with the simplest possible case. Write down what Preston curve claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In science, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Preston curve before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Preston curve ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Preston curve

In research
Preston curve appears in science research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry
Engineering practice reuses Preston curve in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom
Preston curve is common in secondary-school and first-year university syllabi. It links to neighbouring topics Demographic economics, Development economics, so understanding it makes those chapters shorter.
In everyday life
Look for Preston curve outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.
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How to study Preston curve in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Preston curve means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Preston curve out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Preston curve in simple terms?

The Preston curve is an empirical cross-sectional relationship between life expectancy and real per capita income. It is named after Samuel H.

Why does Preston curve matter?

Because it connects several science ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Preston curve?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Preston curve.

Tags

  • Demographic economics
  • Development economics

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